FRAME

"FRAME" --- PORTAL AND GABLE RIGID PLANE FRAME ANALYSIS
Program Description:
"FRAME" is a spreadsheet program written in MS-Excel for the purpose of plane frame analysis of portal and gable
rigid plane frames subjected to various types of loading. Specifically, the "stiffness matrix" method of analysis is
used to determine the unknown joint displacements, support reactions, and member end forces. Individual frame
members are also analyzed to determine the shears and intermediate moments. Plots of both the shear and
moment diagrams are also produced. Also, the frame is drawn for visual confimation of geometry/configuration.
This program is a workbook consisting of three (3) worksheets, described as follows:
Worksheet Name Description

Doc This documentation sheet
Portal Frame Portal rigid plane frame analysis
Gable Frame Gable rigid plane frame analysis
Program Assumptions and Limitations:
1. This program uses the "stiffness matrix" method of analysis and four (4) following basic analysis assumptions:
a. Members must be of constant cross section (E and I are constant for entire length).
b. Deflections must not significantly alter the geometry of the problem.
c. Stress must remain within the "elastic" region.
d. Since this is a "first-order", linear analysis, the effects of "P-delta" and shear deformation are not included.
(However, significant effects due to shear deformation are limited to very short and deep members.)
2. Additional assumptions and features are as follows:
a. Frame support joints may each be either fixed or pinned.
b. Frame support joints may be at different levels (elevations).
c. Columns must be vertical (cannot be sloped).
c. For a portal frame, the top (roof) member may be flat or sloped in either direction.
3. A vertical load, horizontal load, and externally moment may be applied to any of the joints of the frame. These
joint loads are to be applied in "global" axes directions. Note: Joint loads applied directly at supports are merely
added directly to support reactions and are not reflected in member end force values.
4. On any individual member, this program will handle up to five (5) full uniform, partial uniform, triangular, or
trapezoidal loads, up to ten (10) point loads, and up to four (4) externally applied moments. For vertical members,
distributed loads and point loads are input in a "X-Global" sence of direction. For flat or sloped top (roof)
members, distributed loads may be applied global over actual member length or applied global over the
"projected" member length. Program designations are "Y-Global", "Y-Projected", "X-Global", and "X-Projected".
For a flat top (roof) member of a portal frame, "Y-Global" and "Y-Projected" loads produce the same results.
Uniformly distributed gravity (dead or live) load would be an example of a "Y-Global" distributed load on a sloped
top (roof) member, while lateral uniformly distributed wind load on sloped top (roof) member would be an
example of an "X-Projected" distributed load. A uniformly distributed load such as wind suction perpendicular
(normal) to a sloped top (roof) member must be resolved into Y-Global and X-Global component values by user.
5. This program will calculate the member end reactions, the member end forces (axial, shear, and moment),
the member maximum positive and negative moments (if applicable), and the joint displacements.
The calculated values for the maximum moments are determined from dividing the member into fifty (50)
equal segments with fifty-one (51) points, and including all of the point load and applied moment locations as
well. (Note: the actual point of maximum moment occurs where the shear = 0, or passes through zero.)
6. The user is also given the ability to select an AISC W, S, C, MC, or HSS (rectangular tube) shape to aide in
obtaining the required moment of inertia for input. (This facility is located off to the right of the main page.)
7. This program contains numerous “comment boxes” which contain a wide variety of information including
explanations of input or output items, equations used, data tables, etc. (Note: presence of a “comment box”
is denoted by a “red triangle” in the upper right-hand corner of a cell. Merely move the mouse pointer to the
desired cell to view the contents of that particular "comment box".)
Procedure for Stiffness Method of Frame Analysis:
1. Identifiy members and joints in frame

2. Specify near (start) joint and far (end) joint for each member in frame
3. Establish global coordinate system
4. Calculate fixed-end moments (FEM's) and shears for each member due to applied member loads
5. Specify x, y, and z coding components (3 in all) at each joint as follows:
a. Use lowest numbers to identify unknown joint displacements (for partioning overall matrix)
b. Use remaining numbers to indentify known displacements
6. From the problem, establish the known displacements, Dk, and known external forces and reactions, Qk
7. Determine 6x6 stiffness matrix, k', for each of the member expressed in global coordinates
As an example, a member numbered with 1,2, and 3 at start and 4,5, and 6 at end would be:
1 2 3 4 5 6
A B -C -A -B -C 1
B D E -B -D E 2
-C E F C -E G 3
-A -B C A B C 4
-B -D -E B D -E 5
-C E G C -E F 6
where: A = A*E/L*lx^2+12*E*I/L^3*ly^2 Note: lx and ly are the "direction cosines"
B = (A*E/L-12*E*I/L^3)*lx*ly lx = (xj-xi)/L and ly = (yj-yi)/L
C = 6*E*I/L^2*ly (xi,yi) = joint start coordinates
D = A*E/L*ly^2+12*E*I/L^3*lx^2 (xj,yj) = joint end coordinates
E = 6*E*I/L^2*lx L = SQRT((xj-xi)^2+(yj-yi)^2)
F = 4*E*I/L
G = 2*E*I/L
8. Merge individual member stiffness matrices into stiffness matrix, K, for entire frame
9. Partition the structure stiffness matrix, K, as follows:
End Forces Vector Partitioned Stiff. Matrix, K Displacements Vector
Qk = K11 K12 * Du
Qu K21 K22 Dk
Expansion tQk = K11 * Du + K12 * Dk (Eqn. 1)
Qu = K21 * Du + K22 * Dk (Eqn. 2)
where: Qk and Dk = known external loads and displacements (typ. Dk = 0, all)
Qu and Du = unknown support reactions and displacements
K11, K12, K21, K22 = submatrices of partitioned stiffness matrix, K
10. Solve for unknown displacements, Du, from Equation 1:
Du = (Qk - K12 * Dk) / K11 = Qk / K11 where: Dk = 0, all
11. With the solved displacements, solve for unknown support reactions, Qu, from Equation 2
Qu = K21 * Du + K22 * Dk = K21 * Du where: Dk = 0, all
12. Solve for internal member end forces from: q = k' * T * D
where: T = 6x6 displacement transformation matrix as follows for each member:
lx ly 0 0 0 0
-ly lx 0 0 0 0
0 0 1 0 0 0
0 0 0 lx ly 0
0 0 0 -ly lx 0
0 0 0 0 0 1
and k' is the member stiffness matrix (from above), and D is the displacements vector
13. Superimpose member fixed-end moments (FEM's) and shears with the frame analysis end forces to get
final member end forces
Reference: "Structural Analysis" - by Russel C. Hibbeler, Macmillan Publishing Company (1985), pages 441 to 497
Formulas Used to Determine FEM's and Shear and Moment in Individual Frame Members
For Uniform or Distributed Loads:
Loading functions for each uniform or distributed load evaluated at distance x = L from left end of member:
FvL = -wb*(L-b-(L-e)) + -1/2*(we-wb)/(e-b)*((L-b)^2-(L-e)^2)+(we-wb)*(L-e)
FmL = -wb/2*((L-b)^2-(L-e)^2) + -1/6*(we-wb)/(e-b)*((L-b)^3-(L-e)^3)+(we-wb)/2*(L-e)^2
FqL = -wb/(6*E*I)*((L-b)^3-(L-e)^3) + -1/(24*E*I)*(we-wb)/(e-b)*((L-b)^4-(L-e)^4)+(we-wb)/(6*E*I)*(L-e)^3
FDL = -wb/(24*E*I)*((L-b)^4-(L-e)^4) + -1/(120*E*I)*(we-wb)/(e-b)*((L-b)^5-(L-e)^5)+(we-wb)/(24*E*I)*(L-e)^4
Loading functions for each uniform or distributed load evaluated at distance = x from left end of member:
If x >= e:
Fvx = -wb*(x-b-(x-e)) + -1/2*(we-wb)/(e-b)*((x-b)^2-(x-e)^2)+(we-wb)*(x-e)
Fmx = -wb/2*((x-b)^2-(x-e)^2) + -1/6*(we-wb)/(e-b)*((x-b)^3-(x-e)^3)+(we-wb)/2*(x-e)^2
Fqx = -wb/(6*E*I)*((x-b)^3-(x-e)^3) + -1/(24*E*I)*(we-wb)/(e-b)*((x-b)^4-(x-e)^4)+(we-wb)/(6*E*I)*(x-e)^3
FDx = -wb/(24*E*I)*((x-b)^4-(x-e)^4) + -1/(120*E*I)*(we-wb)/(e-b)*((x-b)^5-(x-e)^5)+(we-wb)/(24*E*I)*(x-e)^4
else if x >= b:
Fvx = -wb*(x-b) + -1/2*(we-wb)/(e-b)*(x-b)^2 else: Fvx = 0
Fmx = -wb/2*(x-b)^2 + -1/6*(we-wb)/(e-b)*(x-b)^3-(x-e)^3 else: Fmx = 0
Fqx = -wb/(6*E*I)*(x-b)^3 + -1/(24*E*I)*(we-wb)/(e-b)*(x-b)^4 else: Fqx = 0
FDx = -wb/(24*E*I)*(x-b)^4 + -1/(120*E*I)*(we-wb)/(e-b)*(x-b)^5else: FDx = 0
For Point Loads:
Loading functions for each point load evaluated at distance x = L from left end of member:
FvL = -P
FmL = -P*(L-a)
FqL = -P*(L-a)^2/(2*E*I)
FDL = P*(L-a)^3/(6*E*I)
Loading functions for each point load evaluated at distance = x from left end of member:
If x > a:
Fvx = -P else: Fvx = 0
Fmx = -P*(x-a) else: Fmx = 0
Fqx = -P*(x-a)^2/(2*E*I) else: Fqx = 0
FDx = P*(x-a)^3/(6*E*I) else: FDx = 0
For Applied Moments:
Loading functions for each applied moment evaluated at distance x = L from left end of member:
FvL = 0
FmL = -M
FqL = -M*(L-c)/(E*I)
FDL = M*(L-c)^2/(2*E*I)
Loading functions for each applied moment evaluated at distance = x from left end of member:
If x >= c:
Fvx = 0 else: Fvx = 0
Fmx = -M else: Fmx = 0
Fqx = -M*(x-c)/(E*I) else: Fqx = 0
FDx = M*(x-c)^2/(2*E*I) else: FDx = 0
(continued)
Formulas Used to Determine FEM's and Shear and Moment in Individual Frame Members (continued)
Initial summation values at left end (x = 0) for shear, moment, slope, and deflection:
Fixed beam(for determining FEM's in frame members)

Vo = -12*E*I/L^3*S(FDL)-6*E*I/L^2*S(FqL)
Mo = 6*E*I/L^2*S(FDL)+2*E*I/L*S(FqL)
qo = 0
Do = 0
Simple beam:
Vo = -1/L*S(FmL)
Mo = 0
qo = 1/L*S(FDL)+L/(6*E*I)*S(FmL)
Do = 0
Summations of shear, moment, slope, and deflection at distance = x from left end of member:
Shear: Vx = Vo+S(Fvx)
Moment: Mx = Mo+Vo*x+S(Fmx)
Slope: qx = qo+Mo*x/(E*I)+Vo*x^2/(2*E*I)+S(Fqx)
Deflection: Dx = -(Do-qo*x-Mo*x^2/(2*E*I)-Vo*x^3/(6*E*I)+S(FDx)
Reference: "Modern Formulas for Statics and Dynamics, A Stress-and-Strain Approach"

by Walter D. Pilkey and Pin Yu Chang, McGraw-Hill Book Company (1978)
ortal and gable
f analysis is
ividual frame
assumptions:
e not included.
rame. These
orts are merely
vertical members,
"X-Projected".
oad on a sloped
erpendicular
values by user.
locations as
d reactions, Qk
typ. Dk = 0, all)
d forces to get
ges 441 to 497
*E*I)*(L-e)^4
(continued)
PORTAL RIGID PLANE FRAME ANALYSIS
For Fixed or Pinned Bases
Job Name: Subject:

Job Number: Originator:
Input Data:
Joint Coordinates:
Joint No. x (ft.) y (ft.)

1 0 0
2 0 13
3 26 15
4 26 0
Support Constraints:
Joint No. Condition

1 Fixed
4 Fixed
Member Properties and Data: Plot of Portal Frame
Member No. E (ksi) A (in.^2) I (in.^4) L (ft.) lx ly

1 29000 20 723 13 0 1
2 29000 11.8 612 26.07681 0.997054 0.076696
3 29000 20 723 15 0 1
Joint Loads:
Joint No. Px (kips) Py (kips) Mz (ft-k)

1
2 3.25
3
4
Member Loads:
Distributed Loads:
Member Distributed Load #1 Distributed Load #2

No. Load Directb/L wb (k/ft.) e/L we (k/ft.) b/L wb (k/ft.) e/L
1 X-Global
2 Y-Global 0 -1 1 -1
2 X-Projected
3 X-Global
Point Loads:
Member Point Load #1 Point Load #2 Point Load #3 Point Load #4

No. Load Directa/L P (kips) a/L P (kips) a/L P (kips) a/L
1 X-Global
2 Y-Global
2 X-Global
3 X-Global
Applied Moments:
Member No. Moment #1 Moment #2 Moment #3 Moment #4

c/L M (ft-kips) c/L M (ft-kips) c/L M (ft-kips) c/L
1
2
3
FRAME MEMBER #1 FRAME MEMBER #2

Shears and Moments for Member #1
Point # Dist. y Shear Moment
(feet) (kips) (ft-kips)
Joint 1: 1 0 -2.948316 2.287193 Joint 2:
2 0.26 -2.948316 1.520631
3 0.52 -2.948316 0.754069
4 0.78 -2.948316 -0.012493
5 1.04 -2.948316 -0.779055
6 1.3 -2.948316 -1.545618
7 1.56 -2.948316 -2.31218
8 1.82 -2.948316 -3.078742
9 2.08 -2.948316 -3.845304
10 2.34 -2.948316 -4.611866
11 2.6 -2.948316 -5.378428
12 2.86 -2.948316 -6.14499
13 3.12 -2.948316 -6.911552
14 3.38 -2.948316 -7.678114
15 3.64 -2.948316 -8.444676
16 3.9 -2.948316 -9.211238
17 4.16 -2.948316 -9.9778
18 4.42 -2.948316 -10.74436
19 4.68 -2.948316 -11.51092
20 4.94 -2.948316 -12.27749
21 5.2 -2.948316 -13.04405
22 5.46 -2.948316 -13.81061
23 5.72 -2.948316 -14.57717
24 5.98 -2.948316 -15.34373
25 6.24 -2.948316 -16.1103
26 6.5 -2.948316 -16.87686
27 6.76 -2.948316 -17.64342
28 7.02 -2.948316 -18.40998
29 7.28 -2.948316 -19.17654
30 7.54 -2.948316 -19.94311
31 7.8 -2.948316 -20.70967
32 8.06 -2.948316 -21.47623
33 8.32 -2.948316 -22.24279
34 8.58 -2.948316 -23.00935
35 8.84 -2.948316 -23.77592
36 9.1 -2.948316 -24.54248
37 9.36 -2.948316 -25.30904
38 9.62 -2.948316 -26.0756
39 9.88 -2.948316 -26.84216
40 10.14 -2.948316 -27.60873
41 10.4 -2.948316 -28.37529
42 10.66 -2.948316 -29.14185
43 10.92 -2.948316 -29.90841
44 11.18 -2.948316 -30.67497
45 11.44 -2.948316 -31.44154
46 11.7 -2.948316 -32.2081
47 11.96 -2.948316 -32.97466
48 12.22 -2.948316 -33.74122
49 12.48 -2.948316 -34.50779
50 12.74 -2.948316 -35.27435
Joint 2: 51 13 -2.948316 -36.04091 Joint 3:
Checker: Results:
Support Reactions:
Y Joint No. Rx (kips) Ry (kips)

1 2.948316 12.79721
4 -6.198316 13.2796
Member End Forces:
Member NoJoint No. Axial (k)

1 1 12.79721
2 -12.79721
2 2 7.161559
3 -5.161559
3 4 13.2796
X 3 -13.2796
Portal Frame Nomenclature Member Maximum Moments:
c/L Member No+M or -M M (ft-k)

e/L 1 +M(max) 2.287193
b/L -M(max) -36.04091
a/L 2 +M(max) 39.63181
P M we -M(max) -54.70873
wb 3 +M(max) 54.70873
-M(max) -38.26601
x or y L
Joint Displacements:
Member Load Nomenclature
Joint No. Dx (in.) Dy (in.)
Note: Point loads or moments at member 1 0 0
ends must be input as joint loads. 2 0.073045 -0.003442
3 0.067446 -0.004121
4 0 0
Distributed Load #3 Distributed Load #4 Distributed Load #5

we (k/ft.) b/L wb (k/ft.) e/L we (k/ft.) b/L wb (k/ft.) e/L we (k/ft.) b/L
Point Load #4 Point Load #5 Point Load #6 Point Load #7 Point Load #8 Point Load #9
P (kips) a/L P (kips) a/L P (kips) a/L P (kips) a/L P (kips) a/L
Moment #4
M (ft-kips)
FRAME MEMBER #3
Shears and Moments for Member #2 Shears and Moments for Member #
Point # Dist. x Shear Moment Point # Dist. y
(feet) (kips) (ft-kips) (feet)
1 0 12.28412 -36.04091 Joint 4: 1 0
2 0.521536 11.76412 -29.76989 2 0.3
3 1.043072 11.24412 -23.77008 3 0.6
4 1.564609 10.72412 -18.04146 4 0.9
5 2.086145 10.20412 -12.58404 5 1.2
6 2.607681 9.684122 -7.397824 6 1.5
7 3.129217 9.164122 -2.482803 7 1.8
8 3.650753 8.644122 2.161019 8 2.1
9 4.17229 8.124122 6.533642 9 2.4
10 4.693826 7.604122 10.63507 10 2.7
11 5.215362 7.084122 14.46529 11 3
12 5.736898 6.564122 18.02432 12 3.3
13 6.258434 6.044122 21.31215 13 3.6
14 6.779971 5.524122 24.32877 14 3.9
15 7.301507 5.004122 27.0742 15 4.2
16 7.823043 4.484122 29.54844 16 4.5
17 8.344579 3.964122 31.75147 17 4.8
18 8.866115 3.444122 33.6833 18 5.1
19 9.387651 2.924122 35.34394 19 5.4
20 9.909188 2.404122 36.73337 20 5.7
21 10.43072 1.884122 37.85161 21 6
22 10.95226 1.364122 38.69865 22 6.3
23 11.4738 0.844122 39.27449 23 6.6
24 11.99533 0.324122 39.57913 24 6.9
25 12.51687 -0.195878 39.61257 25 7.2
26 13.0384 -0.715878 39.37481 26 7.5
27 13.55994 -1.235878 38.86586 27 7.8
28 14.08148 -1.755878 38.0857 28 8.1
29 14.60301 -2.275878 37.03435 29 8.4
30 15.12455 -2.795878 35.7118 30 8.7
31 15.64609 -3.315878 34.11805 31 9
32 16.16762 -3.835878 32.2531 32 9.3
33 16.68916 -4.355878 30.11695 33 9.6
34 17.21069 -4.875878 27.7096 34 9.9
35 17.73223 -5.395878 25.03105 35 10.2
36 18.25377 -5.915878 22.08131 36 10.5
37 18.7753 -6.435878 18.86037 37 10.8
38 19.29684 -6.955878 15.36822 38 11.1
39 19.81838 -7.475878 11.60488 39 11.4
40 20.33991 -7.995878 7.570341 40 11.7
41 20.86145 -8.515878 3.264601 41 12
42 21.38298 -9.035878 -1.312337 42 12.3
43 21.90452 -9.555878 -6.160473 43 12.6
44 22.42606 -10.07588 -11.27981 44 12.9
45 22.94759 -10.59588 -16.67034 45 13.2
46 23.46913 -11.11588 -22.33208 46 13.5
47 23.99066 -11.63588 -28.26501 47 13.8
48 24.5122 -12.15588 -34.46914 48 14.1
49 25.03374 -12.67588 -40.94447 49 14.4
50 25.55527 -13.19588 -47.691 50 14.7
51 26.07681 -13.71588 -54.70873 Joint 3: 51 15
CALCULATIONS:
Member Direction Cosines:

Member Nolx
1 0
2 0.997054
3 0
Mz (ft-k)
-2.287193 Member Loads:
38.26601
Distributed Loads:
Member NoDistributed Load #1

Shear (k) Moment (ft-k) b (ft.) wb (k/ft.) e (ft.)
-2.948316 -2.287193 1 (X) 0 0 0
2.948316 -36.04091 2 (Y) 0 0.997054 26.07681
12.28412 36.04091 2 (Axial) 0 0.076696 26.07681
13.71588 -54.70873 2 (X) 0 0 0
6.198316 38.26601 2 (Axial) 0 0 0
-6.198316 54.70873 3 (X) 0 0 0
Point Loads:
x or y (ft.) Member NoPoint Load #1 Point Load #2

0 a (ft.) P (kips) a (ft.)
13 1 (X) 0 0 0
12.32039 2 (Y) 0 0 0
26.07681 2 (Axial) 0 0 0
15 2 (X) 0 0 0
0 2 (Axial) 0 0 0
3 (X) 0 0 0
Applied Moments:
qz (rad.)
0 Member NoMoment #1 Moment #2
-0.001507 c (ft.) M (ft-kips) c (ft.)
0.000847 1 1E-09 0 1E-09
0 2 1E-09 0 1E-09
3 1E-09 0 1E-09
Distributed Load #5
wb (k/ft.) e/L we (k/ft.) Determine Fixed End Moments for Members:
For Distributed Load #1
Loading Functions Evaluated at x = L
Points: FvL FmL FqL FDL
Member #1--- --- --- ---
Member #1--- --- --- ---
Member #2 -26 -338.9985 -0.000166 0.001082
Member #2 -26 -338.9985 -0.000166 0.001082
Point Load #9 Point Load #10 Member #2(Y) Axial(L)-26.07681 -1.28E-05 8.33E-05
P (kips) a/L P (kips) Member #2( 0 -26.07681 -1.28E-05 8.33E-05
Member #2--- --- --- ---
Member #2--- --- --- ---
Member #2(--- --- --- ---
Member #2(--- --- --- ---
Member #3--- --- --- ---
Member #3--- --- --- ---
Portal Frame Case #1 - Joint 1 Fixed and Joint 4 Fixed:

Member Stiffness Matrices:
Member #1 7 8
66.27409 0
0 3717.949
k' 1 = -5169.379 0
-66.27409 0
0 -3717.949
-5169.379 0
Member #2 1 2
1087.172 83.09398
83.09398 13.34247
k' 2 = -83.40744 1084.297
-1087.172 -83.09398
-83.09398 -13.34247
-83.40744 1084.297
Member #3 10 11
43.14198 0
0 3222.222
k' 3 = -3882.778 0
-43.14198 0
0 -3222.222
-3882.778 0
Q=K*D
12x12 Structure Stiffness Matrix, K
End Forces Vector, Q: 1 2
3.25 Fx1 1153.446 83.09398
-13.0384 Fy2 83.09398 3731.291
Qk = -677.9971 Mz3 5085.971 1084.297
0 Fx4 -1087.172 -83.09398
-13.0384 Fy5 -83.09398 -13.34247
677.9971 Mz6 -83.40744 1084.297
Rx7 = ? -66.27409 0
Ry8 = ? 0 -3717.949
Qu = Mz9 = ? 5169.379 0
Rx10 = ? 0 0
Ry11 = ? 0 0
Mz12 = ? 0 0
Inverse of 6x6 Partitioned Submatr

1 2
0.016804 4.35E-05
nd Moments for Member #3 4.35E-05 0.000269
Shear Moment 1 / K11 = -0.000103 -5.75E-07
(kips) (ft-kips) 0.016442 6.4E-05
6.198316 -38.26601 -5E-05 1.58E-07
6.198316 -36.40651 -7.55E-05 -6.88E-07
6.198316 -34.54702
6.198316 -32.68752 DisplacemeDu = Qk / K11
6.198316 -30.82803 Dx1 0.073045 in.
6.198316 -28.96853 Dy2 -0.003442 in.
6.198316 -27.10904 qz3 -0.001507 rad.
6.198316 -25.24954 Dx4 0.067446 in.
6.198316 -23.39005 Dy5 -0.004121 in.
6.198316 -21.53056 qz6 0.000847 rad.
6.198316 -19.67106
6.198316 -17.81157 Member End Forces Solution:
6.198316 -15.95207 Member #1 1 2
6.198316 -14.09258 0 1
6.198316 -12.23308 -1 0
6.198316 -10.37359 T1 = 0 0
6.198316 -8.514093 0 0
6.198316 -6.654598 0 0
6.198316 -4.795103 0 0
6.198316 -2.935609
6.198316 -1.076114 Member #2 1 2
6.198316 0.783381 0.997054 0.076696
6.198316 2.642875 -0.076696 0.997054
6.198316 4.50237 T2 = 0 0
6.198316 6.361865 0 0
6.198316 8.221359 0 0
6.198316 10.08085 0 0
6.198316 11.94035
6.198316 13.79984 Member #3 1 2
6.198316 15.65934 0 1
6.198316 17.51883 -1 0
6.198316 19.37833 T3 = 0 0
6.198316 21.23782 0 0
6.198316 23.09732 0 0
6.198316 24.95681 0 0
6.198316 26.81631
6.198316 28.6758
6.198316 30.5353 Portal Frame Case #2 - Joint 1 Pinned and Joint 4 Pinned
6.198316 32.39479 Member Stiffness Matrices:
6.198316 34.25428 Member #1 9 10
6.198316 36.11378 66.27409 0
6.198316 37.97327 0 3717.949
6.198316 39.83277 k' 1 = -5169.379 0
6.198316 41.69226 -66.27409 0
6.198316 43.55176 0 -3717.949
6.198316 45.41125 -5169.379 0
6.198316 47.27075
6.198316 49.13024 Member #2 1 2
6.198316 50.98974 1087.172 83.09398
6.198316 52.84923 83.09398 13.34247
6.198316 54.70873 k' 2 = -83.40744 1084.297
-1087.172 -83.09398
-83.09398 -13.34247
-83.40744 1084.297
Member #3 11 12
43.14198 0
0 3222.222
k' 3 = -3882.778 0
-43.14198 0
0 -3222.222
-3882.778 0
Q=K*D
3.25 Fx1 1153.446 83.09398
-13.0384 Fy2 83.09398 3731.291
-677.9971 Mz3 5085.971 1084.297
Qk = 0 Fx4 -1087.172 -83.09398
-13.0384 Fy5 -83.09398 -13.34247
677.9971 Mz6 -83.40744 1084.297
0 Mz7 5169.379 0
0 Mz8 0 0
Rx9 = ? -66.27409 0
Qu = Ry10 = ? 0 -3717.949
Rx11 = ? 0 0
Ry12 = ? 0 0

1 2
0.078222 0.000134
0.000134 0.000269
-0.000284 -8.62E-07
1 / K11 = 0.077878 0.000155
-0.000155 -1.54E-20
-0.000207 -8.62E-07
-0.00061 -8.62E-07
-0.000546 -8.62E-07
DisplacemeDu = Qk / K11
Dx1 0.306801 in.
Dy2 -0.00307 in.
qz3 -0.002451 rad.
Dx4 0.302912 in.
Dy5 -0.004551 in.
qz6 0.000636 rad.
qz7 -0.001724 rad.
qz8 -0.002842 rad.
Member End Forces Solution:
Member #1 1 2
0 1
-1 0
T1 = 0 0
0 0
0 0
0 0
Member #2 1 2
0.997054 0.076696
-0.076696 0.997054
T2 = 0 0
0 0
0 0
0 0
Member #3 1 2
0 1
-1 0
T3 = 0 0
0 0
0 0
0 0
Portal Frame Case #3 - Joint 1 Fixed and Joint 4 Pinned:

Member #1 8 9
66.27409 0
0 3717.949
k' 1 = -5169.379 0
-66.27409 0
0 -3717.949
-5169.379 0
Member #2 1 2
1087.172 83.09398
83.09398 13.34247
k' 2 = -83.40744 1084.297
-1087.172 -83.09398
-83.09398 -13.34247
-83.40744 1084.297
Member #3 11 12
43.14198 0
0 3222.222
k' 3 = -3882.778 0
-43.14198 0
0 -3222.222
-3882.778 0
Q=K*D
3.25 Fx1 1153.446 83.09398
-13.0384 Fy2 83.09398 3731.291
-677.9971 Mz3 5085.971 1084.297
Qk = 0 Fx4 -1087.172 -83.09398
-13.0384 Fy5 -83.09398 -13.34247
677.9971 Mz6 -83.40744 1084.297
0 Mz7 0 0
Rx8 = ? -66.27409 0
Ry9 = ? 0 -3717.949
Qu = Mz10 = ? 5169.379 0
Rx11 = ? 0 0
Ry12 = ? 0 0

1 2
0.025277 5.97E-05
5.97E-05 0.000269
-0.000163 -6.91E-07
1 / K11 = 0.025148 8.07E-05
-6.89E-05 1.22E-07
-5.28E-05 -6.44E-07
-0.000183 -3.5E-07
Dx1 0.157153 in.
Dy2 -0.003281 in.
qz3 -0.00211 rad.
Dx4 0.15387 in.
Dy5 -0.004307 in.
qz6 0.001072 rad.
qz7 -0.001818 rad.

Member #1 1 2
0 1
-1 0
T1 = 0 0
0 0
0 0
0 0
Member #2 1 2
0.997054 0.076696
-0.076696 0.997054
T2 = 0 0
0 0
0 0
0 0
Member #3 1 2
0 1
-1 0
T3 = 0 0
0 0
0 0
0 0
Portal Frame Case #4 - Joint 1 Pinned and Joint 4 Fixed:

Member #1 8 9
66.27409 0
0 3717.949
k' 1 = -5169.379 0
-66.27409 0
0 -3717.949
-5169.379 0
Member #2 1 2
1087.172 83.09398
83.09398 13.34247
k' 2 = -83.40744 1084.297
-1087.172 -83.09398
-83.09398 -13.34247
-83.40744 1084.297
Member #3 10 11
43.14198 0
0 3222.222
k' 3 = -3882.778 0
-43.14198 0
0 -3222.222
-3882.778 0
Q=K*D
3.25 Fx1 1153.446 83.09398
-13.0384 Fy2 83.09398 3731.291
-677.9971 Mz3 5085.971 1084.297
Qk = 0 Fx4 -1087.172 -83.09398
-13.0384 Fy5 -83.09398 -13.34247
677.9971 Mz6 -83.40744 1084.297
0 Mz7 5169.379 0
Rx8 = ? -66.27409 0
Ry9 = ? 0 -3717.949
Qu = Rx10 = ? 0 0
Ry11 = ? 0 0
Mz12 = ? 0 0
1 2
#VALUE! #VALUE!
#VALUE! #VALUE!
#VALUE! #VALUE!
1 / K11 = #VALUE! #VALUE!
#VALUE! #VALUE!
#VALUE! #VALUE!
#VALUE! #VALUE!
Dx1 #VALUE! in.
Dy2 #VALUE! in.
qz3 #VALUE! rad.
Dx4 #VALUE! in.
Dy5 #VALUE! in.
qz6 #VALUE! rad.
qz7 #VALUE! rad.

Member #1 1 2
0 1
-1 0
T1 = 0 0
0 0
0 0
0 0
Member #2 1 2
0.997054 0.076696
-0.076696 0.997054
T2 = 0 0
0 0
0 0
0 0
Member #3 1 2
0 1
-1 0
T3 = 0 0
0 0
0 0
0 0
Individual Member Calculations:

Member #1:
Internal E M (ft-kips) c (ft.)
Left End, M-2.287193 0
Right End, -36.04091 13
1 --- --- --- ---
2 --- --- --- ---
3 --- --- --- ---
4 --- --- --- ---
5 --- --- --- ---
6 --- --- --- ---
7 --- --- --- ---
8 --- --- --- ---
9 --- --- --- ---
10 --- --- --- ---
11 --- --- --- ---
12 --- --- --- ---
13 --- --- --- ---
14 --- --- --- ---
15 --- --- --- ---
16 --- --- --- ---
17 --- --- --- ---
18 --- --- --- ---
19 --- --- --- ---
20 --- --- --- ---
21 --- --- --- ---
22 --- --- --- ---
23 --- --- --- ---
24 --- --- --- ---
25 --- --- --- ---
26 --- --- --- ---
27 --- --- --- ---
28 --- --- --- ---
29 --- --- --- ---
30 --- --- --- ---
31 --- --- --- ---
32 --- --- --- ---
33 --- --- --- ---
34 --- --- --- ---
35 --- --- --- ---
36 --- --- --- ---
37 --- --- --- ---
38 --- --- --- ---
39 --- --- --- ---
40 --- --- --- ---
41 --- --- --- ---
42 --- --- --- ---
43 --- --- --- ---
44 --- --- --- ---
45 --- --- --- ---
46 --- --- --- ---
47 --- --- --- ---
48 --- --- --- ---
49 --- --- --- ---
50 --- --- --- ---
51 --- --- --- ---
x=a1 for P --- --- --- ---
x=a2 for P --- --- --- ---
x=a3 for P --- --- --- ---
x=a4 for P --- --- --- ---
x=a5 for P --- --- --- ---
x=a6 for P --- --- --- ---
x=a7 for P --- --- --- ---
x=a8 for P --- --- --- ---
x=a9 for P --- --- --- ---
x=a10 for --- --- --- ---
x=c1 for M --- --- --- ---
x=c2 for M --- --- --- ---
x=c3 for M --- --- --- ---
x=c4 for M --- --- --- ---
x=0 for ML --- --- --- ---
x=L for MR --- --- --- ---
x for Vx=0( --- --- --- ---
x for qx=0( --- --- --- ---
x for Vx=0( --- --- --- ---
x for qx=0( --- --- --- ---
Member #2:
Left End, M 36.04091 0
Right End, -54.70873 26.07681

1 -26 -338.9985 -0.000166 0.001082
2 -26 -338.9985 -0.000166 0.001082
3 -26 -338.9985 -0.000166 0.001082
4 -26 -338.9985 -0.000166 0.001082
5 -26 -338.9985 -0.000166 0.001082
6 -26 -338.9985 -0.000166 0.001082
7 -26 -338.9985 -0.000166 0.001082
8 -26 -338.9985 -0.000166 0.001082
9 -26 -338.9985 -0.000166 0.001082
10 -26 -338.9985 -0.000166 0.001082
11 -26 -338.9985 -0.000166 0.001082
12 -26 -338.9985 -0.000166 0.001082
13 -26 -338.9985 -0.000166 0.001082
14 -26 -338.9985 -0.000166 0.001082
15 -26 -338.9985 -0.000166 0.001082
16 -26 -338.9985 -0.000166 0.001082
17 -26 -338.9985 -0.000166 0.001082
18 -26 -338.9985 -0.000166 0.001082
19 -26 -338.9985 -0.000166 0.001082
20 -26 -338.9985 -0.000166 0.001082
21 -26 -338.9985 -0.000166 0.001082
22 -26 -338.9985 -0.000166 0.001082
23 -26 -338.9985 -0.000166 0.001082
24 -26 -338.9985 -0.000166 0.001082
25 -26 -338.9985 -0.000166 0.001082
26 -26 -338.9985 -0.000166 0.001082
27 -26 -338.9985 -0.000166 0.001082
28 -26 -338.9985 -0.000166 0.001082
29 -26 -338.9985 -0.000166 0.001082
30 -26 -338.9985 -0.000166 0.001082
31 -26 -338.9985 -0.000166 0.001082
32 -26 -338.9985 -0.000166 0.001082
33 -26 -338.9985 -0.000166 0.001082
34 -26 -338.9985 -0.000166 0.001082
35 -26 -338.9985 -0.000166 0.001082
36 -26 -338.9985 -0.000166 0.001082
37 -26 -338.9985 -0.000166 0.001082
38 -26 -338.9985 -0.000166 0.001082
39 -26 -338.9985 -0.000166 0.001082
40 -26 -338.9985 -0.000166 0.001082
41 -26 -338.9985 -0.000166 0.001082
42 -26 -338.9985 -0.000166 0.001082
43 -26 -338.9985 -0.000166 0.001082
44 -26 -338.9985 -0.000166 0.001082
45 -26 -338.9985 -0.000166 0.001082
46 -26 -338.9985 -0.000166 0.001082
47 -26 -338.9985 -0.000166 0.001082
48 -26 -338.9985 -0.000166 0.001082
49 -26 -338.9985 -0.000166 0.001082
50 -26 -338.9985 -0.000166 0.001082
51 -26 -338.9985 -0.000166 0.001082
x=a1 for P -26 -338.9985 -0.000166 0.001082
x=a2 for P -26 -338.9985 -0.000166 0.001082
x=a3 for P -26 -338.9985 -0.000166 0.001082
x=a4 for P -26 -338.9985 -0.000166 0.001082
x=a5 for P -26 -338.9985 -0.000166 0.001082
x=a6 for P -26 -338.9985 -0.000166 0.001082
x=a7 for P -26 -338.9985 -0.000166 0.001082
x=a8 for P -26 -338.9985 -0.000166 0.001082
x=a9 for P -26 -338.9985 -0.000166 0.001082
x=a10 for P10 -338.9985 -0.000166 0.001082
x=c1 for M -26 -338.9985 -0.000166 0.001082
x=c2 for M -26 -338.9985 -0.000166 0.001082
x=c3 for M -26 -338.9985 -0.000166 0.001082
x=c4 for M -26 -338.9985 -0.000166 0.001082
x=0 for ML -26 -338.9985 -0.000166 0.001082
x=L for MR -26 -338.9985 -0.000166 0.001082
x for Vx=0( -26 -338.9985 -0.000166 0.001082
x for qx=0( -26 -338.9985 -0.000166 0.001082
x for Vx=0( -26 -338.9985 -0.000166 0.001082
x for qx=0( -26 -338.9985 -0.000166 0.001082
Member #3:
Left End, M 38.26601 0
Right End, 54.70873 15

1 --- --- --- ---
2 --- --- --- ---
3 --- --- --- ---
4 --- --- --- ---
5 --- --- --- ---
6 --- --- ---
7 --- --- --- ---
8 --- --- --- ---
9 --- --- --- ---
10 --- --- --- ---
11 --- --- --- ---
12 --- --- --- ---
13 --- --- --- ---
14 --- --- --- ---
15 --- --- --- ---
16 --- --- --- ---
17 --- --- --- ---
18 --- --- --- ---
19 --- --- --- ---
20 --- --- --- ---
21 --- --- --- ---
22 --- --- --- ---
23 --- --- --- ---
24 --- --- --- ---
25 --- --- --- ---
26 --- --- --- ---
27 --- --- --- ---
28 --- --- --- ---
29 --- --- --- ---
30 --- --- --- ---
31 --- --- --- ---
32 --- --- --- ---
33 --- --- --- ---
34 --- --- --- ---
35 --- --- --- ---
36 --- --- --- ---
37 --- --- --- ---
38 --- --- --- ---
39 --- --- --- ---
40 --- --- --- ---
41 --- --- --- ---
42 --- --- --- ---
43 --- --- --- ---
44 --- --- --- ---
45 --- --- --- ---
46 --- --- --- ---
47 --- --- --- ---
48 --- --- --- ---
49 --- --- --- ---
50 --- --- --- ---
51 --- --- --- ---
x=a1 for P --- --- --- ---
x=a2 for P --- --- --- ---
x=a3 for P --- --- --- ---
x=a4 for P --- --- --- ---
x=a5 for P --- --- --- ---
x=a6 for P --- --- --- ---
x=a7 for P --- --- --- ---
x=a8 for P --- --- --- ---
x=a9 for P --- --- --- ---
x=a10 for --- --- --- ---
x=c1 for M --- --- --- ---
x=c2 for M --- --- --- ---
x=c3 for M --- --- --- ---
x=c4 for M --- --- --- ---
x=0 for ML --- --- --- ---
x=L for MR --- --- --- ---
x for Vx=0( --- --- --- ---
x for qx=0( --- --- --- ---
x for Vx=0( --- --- --- ---
x for qx=0( --- --- --- ---
Fixed
ly Pinned
1 X-Global
0.076696 X-Projected
1 Y-Global
Y-Projected

we (k/ft.) b (ft.) wb (k/ft.) e (ft.) we (k/ft.) b (ft.) wb (k/ft.) e (ft.) we (k/ft.) b (ft.)
0 0 0 0 0 0 0 0 0 0
0.997054 0 0 0 0 0 0 0 0 0
0.076696 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
P (kips) a (ft.) P (kips) a (ft.) P (kips) a (ft.) P (kips) a (ft.) P (kips) a (ft.)
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
Moment #2 Moment #3 Moment #4

M (ft-kips) c (ft.) M (ft-kips) c (ft.) M (ft-kips)
0 1E-09 0 1E-09 0
0 1E-09 0 1E-09 0
0 1E-09 0 1E-09 0
or Members:
Loading Functions Evaluated at x Loading Functions Evaluated at x = L Loading Functions Evaluated at x
Fvx Fmx Fqx FDx FvL FmL FqL FDL Fvx Fmx
--- --- --- --- --- --- --- --- --- ---
--- --- --- --- --- --- --- --- --- ---
0 0 0 0 --- --- --- --- --- ---
-26 -338.9985 -0.000166 0.001082 --- --- --- --- --- ---
0 0 0 0 --- --- --- --- --- ---
-2 -26.07681 -1.28E-05 8.33E-05 --- --- --- --- --- ---
--- --- --- --- --- --- --- --- --- ---
--- --- --- --- --- --- --- --- --- ---
--- --- --- --- --- --- --- --- --- ---
--- --- --- --- --- --- --- --- --- ---
--- --- --- --- --- --- --- --- --- ---
--- --- --- --- --- --- --- --- --- ---
Fixed and Joint 4 Fixed:
9 1 2 3
-5169.379 -66.27409 0 -5169.379 7
0 0 -3717.949 0 8
537615.4 5169.379 0 268807.7 9
5169.379 66.27409 0 5169.379 1
0 0 3717.949 0 2
268807.7 5169.379 0 537615.4 3
3 4 5 6
-83.40744 -1087.172 -83.09398 -83.40744 1
1084.297 -83.09398 -13.34247 1084.297 2
226868.2 83.40744 -1084.297 113434.1 3
83.40744 1087.172 83.09398 83.40744 4
-1084.297 83.09398 13.34247 -1084.297 5
113434.1 83.40744 -1084.297 226868.2 6
Portal Frame Case #1 - Joint 1 Fixed and Joint 4 Fixed:
12 4 5 6
-3882.778 -43.14198 0 -3882.778 10
0 0 -3222.222 0 11
465933.3 3882.778 0 232966.7 12
3882.778 43.14198 0 3882.778 4
0 0 3222.222 0 5
232966.7 3882.778 0 465933.3 6
ucture Stiffness Matrix, K:

3 4 5 6 7 8 9 10 11 12
5085.971 -1087.172 -83.09398 -83.40744 -66.27409 0 5169.379 0 0 0
1084.297 -83.09398 -13.34247 1084.297 0 -3717.949 0 0 0 0
764483.6 83.40744 -1084.297 113434.1 -5169.379 0 268807.7 0 0 0
83.40744 1130.314 83.09398 3966.185 0 0 0 -43.14198 0 3882.778
-1084.297 83.09398 3235.565 -1084.297 0 0 0 0 -3222.222 0
113434.1 3966.185 -1084.297 692801.6 0 0 0 -3882.778 0 232966.7
-5169.379 0 0 0 66.27409 0 -5169.379 0 0 0
0 0 0 0 0 3717.949 0 0 0 0
268807.7 0 0 0 -5169.379 0 537615.4 0 0 0
0 -43.14198 0 -3882.778 0 0 0 43.14198 0 -3882.778
0 0 -3222.222 0 0 0 0 0 3222.222 0
0 3882.778 0 232966.7 0 0 0 -3882.778 0 465933.3
6x6 Partitioned Submatrix, K11 = 1 / K11:

3 4 5 6
-0.000103 0.016442 -5E-05 -7.55E-05 1
-5.75E-07 6.4E-05 1.58E-07 -6.88E-07 2
1.97E-06 -1E-04 6.64E-07 2.38E-07 3
-1E-04 0.016994 -7.39E-05 -7.92E-05 4
6.64E-07 -7.39E-05 0.00031 7.93E-07 5
2.38E-07 -7.92E-05 7.93E-07 1.85E-06 6
Du = Qk / K11 Reactions SQu = K21 * Du

Rx7 2.948316 kips
Ry8 12.79721 kips
Mz9 -27.44631 in-kips -2.287193
Rx10 -6.198316 kips
Ry11 13.2796 kips
Mz12 459.1921 in-kips 38.26601
q = k' * D * T D k' * D k' * D * T

3 4 5 6 Member #1: Member #1 End Forces:
0 0 0 0 1 0 Dx7 Start Jt. 1 2.948316 12.79721
0 0 0 0 2 0 Dy8 Start Jt. 1 12.79721 -2.948316
1 0 0 0 3 0 qz9 Start Jt. 1 -27.44631 -27.44631
0 0 1 0 4 0.073045 Dx1 End Jt. 2 Ax-2.948316 -12.79721
0 -1 0 0 5 -0.003442 Dy2 End Jt. 2 S -12.79721 2.948316
0 0 0 1 6 -0.001507 qz3 End Jt. 2 -432.4909 -432.4909

0 0 0 0 1 0.073045 Dx1 Start Jt. 2 6.198316 7.161559
0 0 0 0 2 -0.003442 Dy2 Start Jt. 2 -0.241199 12.28412
1 0 0 0 3 -0.001507 qz3 Start Jt. 2 -245.5061 432.4909
0 0.997054 0.076696 0 4 0.067446 Dx4 End Jt. 3 Ax-6.198316 -5.161559
0 -0.076696 0.997054 0 5 -0.004121 Dy5 End Jt. 3 S 0.241199 13.71588
0 0 0 1 6 0.000847 qz6 End Jt. 3 21.49234 -656.5047

0 0 0 0 1 0 Dx10 Start Jt. 4 -6.198316 13.2796
0 0 0 0 2 0 Dy11 Start Jt. 4 13.2796 6.198316
1 0 0 0 3 0 qz12 Start Jt. 4 459.1921 459.1921
0 0 1 0 4 0.067446 Dx4 End Jt. 3 Ax6.198316 -13.2796
0 -1 0 0 5 -0.004121 Dy5 End Jt. 3 S -13.2796 -6.198316
0 0 0 1 6 0.000847 qz6 End Jt. 3 656.5047 656.5047
Pinned and Joint 4 Pinned:
7 1 2 3
-5169.379 -66.27409 0 -5169.379 9
0 0 -3717.949 0 10
537615.4 5169.379 0 268807.7 7
5169.379 66.27409 0 5169.379 1
0 3717.949 0 2
268807.7 5169.379 0 537615.4 3
3 4 5 6
-83.40744 -1087.172 -83.09398 -83.40744 1
1084.297 -83.09398 -13.34247 1084.297 2
226868.2 83.40744 -1084.297 113434.1 3
83.40744 1087.172 83.09398 83.40744 4
-1084.297 83.09398 13.34247 -1084.297 5
113434.1 83.40744 -1084.297 226868.2 6
Portal Frame Case #2 - Joint 1 Pinned and Joint 4 Pinned
8 4 5 6
-3882.778 -43.14198 0 -3882.778 11
0 0 -3222.222 0 12
465933.3 3882.778 0 232966.7 8
3882.778 43.14198 0 3882.778 4
0 0 3222.222 0 5
232966.7 3882.778 0 465933.3 6

3 4 5 6 7 8 9 10 11 12
5085.971 -1087.172 -83.09398 -83.40744 5169.379 0 -66.27409 0 0 0
1084.297 -83.09398 -13.34247 1084.297 0 0 0 -3717.949 0 0
764483.6 83.40744 -1084.297 113434.1 268807.7 0 -5169.379 0 0 0
83.40744 1130.314 83.09398 3966.185 0 3882.778 0 0 -43.14198 0
-1084.297 83.09398 3235.565 -1084.297 0 0 0 0 0 -3222.222
113434.1 3966.185 -1084.297 692801.6 0 232966.7 0 0 -3882.778 0
268807.7 0 0 0 537615.4 0 -5169.379 0 0 0
0 3882.778 0 232966.7 0 465933.3 0 0 -3882.778 0
-5169.379 0 0 0 -5169.379 0 66.27409 0 0 0
0 0 0 0 0 0 0 3717.949 0 0
0 -43.14198 0 -3882.778 0 -3882.778 0 0 43.14198 0
0 0 -3222.222 0 0 0 0 0 0 3222.222

3 4 5 6 7 8
-0.000284 0.077878 -0.000155 -0.000207 -0.00061 -0.000546 1
-8.62E-07 0.000155 -1.49E-20 -8.62E-07 -8.62E-07 -8.62E-07 2
2.68E-06 -0.000282 9.95E-07 4.27E-07 1.39E-06 2.14E-06 3
-0.000282 0.078457 -0.000179 -0.000209 -0.000608 -0.000549 4
9.95E-07 -0.000179 0.00031 9.95E-07 9.95E-07 9.95E-07 5
4.27E-07 -0.000209 9.95E-07 2.36E-06 1.78E-06 5.65E-07 6
1.39E-06 -0.000608 9.95E-07 1.78E-06 7.03E-06 4.18E-06 7
2.14E-06 -0.000549 9.95E-07 5.65E-07 4.18E-06 6.44E-06 8

Rx9 1.252299 kips
Ry10 11.4134 kips
Rx11 -4.502299 kips
Ry12 14.6634 kips
q = k' * D * T D k' * D k' * D * T
0 0 0 0 1 0 Dx9 Start Jt. 1 #VALUE! #VALUE!
0 0 0 0 2 0 Dy10 Start Jt. 1 #VALUE! #VALUE!
1 0 0 0 3 -0.001724 qz7 Start Jt. 1 #VALUE! #VALUE!
0 0 1 0 4 0.306801 Dx1 End Jt. 2 Ax #VALUE! #VALUE!
0 -1 0 0 5 -0.00307 Dy2 End Jt. 2 S #VALUE! #VALUE!
0 0 0 1 6 -0.002451 qz3 End Jt. 2 #VALUE! #VALUE!

0 0 0 0 1 0.306801 Dx1 Start Jt. 2 4.502299 5.364405
0 0 0 0 2 -0.00307 Dy2 Start Jt. 2 -1.625 11.03448
1 0 0 0 3 -0.002451 qz3 Start Jt. 2 -482.6385 195.3586
0 0.997054 0.076696 0 4 0.302912 Dx4 End Jt. 3 Ax-4.502299 -3.364405
0 -0.076696 0.997054 0 5 -0.004551 Dy5 End Jt. 3 S 1.625 14.96552
0 0 0 1 6 0.000636 qz6 End Jt. 3 -132.4167 -810.4138

0 0 0 0 1 0 Dx11 Start Jt. 4 -4.502299 14.6634
0 0 0 0 2 0 Dy12 Start Jt. 4 14.6634 4.502299
1 0 0 0 3 -0.002842 qz8 Start Jt. 4 0 0
0 0 1 0 4 0.302912 Dx4 End Jt. 3 Ax4.502299 -14.6634
0 -1 0 0 5 -0.004551 Dy5 End Jt. 3 S -14.6634 -4.502299
0 0 0 1 6 0.000636 qz6 End Jt. 3 810.4138 810.4138
Fixed and Joint 4 Pinned:
10 1 2 3
-5169.379 -66.27409 0 -5169.379 8
0 0 -3717.949 0 9
537615.4 5169.379 0 268807.7 10
5169.379 66.27409 0 5169.379 1
0 0 3717.949 0 2
268807.7 5169.379 0 537615.4 3
3 4 5 6
-83.40744 -1087.172 -83.09398 -83.40744 1
1084.297 -83.09398 -13.34247 1084.297 2
226868.2 83.40744 -1084.297 113434.1 3
83.40744 1087.172 83.09398 83.40744 4
-1084.297 83.09398 13.34247 -1084.297 5
113434.1 83.40744 -1084.297 226868.2 6
Portal Frame Case #3 - Joint 1 Fixed and Joint 4 Pinned:
7 4 5 6
-3882.778 -43.14198 0 -3882.778 11
0 0 -3222.222 0 12
465933.3 3882.778 0 232966.7 7
3882.778 43.14198 0 3882.778 4
0 0 3222.222 0 5
232966.7 3882.778 0 465933.3 6

3 4 5 6 7 8 9 10 11 12
5085.971 -1087.172 -83.09398 -83.40744 0 -66.27409 0 5169.379 0 0
1084.297 -83.09398 -13.34247 1084.297 0 0 -3717.949 0 0 0
764483.6 83.40744 -1084.297 113434.1 0 -5169.379 0 268807.7 0 0
83.40744 1130.314 83.09398 3966.185 3882.778 0 0 0 -43.14198 0
-1084.297 83.09398 3235.565 -1084.297 0 0 0 0 0 -3222.222
113434.1 3966.185 -1084.297 692801.6 232966.7 0 0 0 -3882.778 0
0 3882.778 0 232966.7 465933.3 0 0 0 -3882.778 0
-5169.379 0 0 0 0 66.27409 0 -5169.379 0 0
0 0 0 0 0 0 3717.949 0 0 0
268807.7 0 0 0 0 -5169.379 0 537615.4 0 0
0 -43.14198 0 -3882.778 -3882.778 0 0 0 43.14198 0
0 0 -3222.222 0 0 0 0 0 0 3222.222

3 4 5 6 7
-0.000163 0.025148 -6.89E-05 -5.28E-05 -0.000183 1
-6.91E-07 8.07E-05 1.22E-07 -6.44E-07 -3.5E-07 2
2.4E-06 -0.000162 7.98E-07 7.57E-08 1.31E-06 3
-0.000162 0.02594 -9.31E-05 -5.59E-05 -0.000188 4
7.98E-07 -9.31E-05 0.00031 7.43E-07 4.04E-07 5
7.57E-08 -5.59E-05 7.43E-07 1.91E-06 -4.9E-07 6
1.31E-06 -0.000188 4.04E-07 -4.9E-07 3.96E-06 7

Rx8 0.490506 kips
Ry9 12.19958 kips
Mz10 245.2878 in-kips 20.44065
Rx11 -3.740506 kips
Ry12 13.87723 kips
q = k' * D * T D k' * D k' * D * T

0 0 0 0 1 0 Dx8 Start Jt. 1 0.490506 12.19958
0 0 0 0 2 0 Dy9 Start Jt. 1 12.19958 -0.490506
1 0 0 0 3 0 qz10 Start Jt. 1 245.2878 245.2878
0 0 1 0 4 0.157153 Dx1 End Jt. 2 Ax-0.490506 -12.19958
0 -1 0 0 5 -0.003281 Dy2 End Jt. 2 S -12.19958 0.490506
0 0 0 1 6 -0.00211 qz3 End Jt. 2 -321.8068 -321.8068

0 0 0 0 1 0.157153 Dx1 Start Jt. 2 3.740506 4.665154
0 0 0 0 2 -0.003281 Dy2 Start Jt. 2 -0.838821 11.87677
1 0 0 0 3 -0.00211 qz3 Start Jt. 2 -356.1903 321.8068
0 0.997054 0.076696 0 4 0.15387 Dx4 End Jt. 3 Ax-3.740506 -2.665154
0 -0.076696 0.997054 0 5 -0.004307 Dy5 End Jt. 3 S 0.838821 14.12323
0 0 0 1 6 0.001072 qz6 End Jt. 3 4.705921 -673.2911

0 0 0 0 1 0 Dx11 Start Jt. 4 -3.740506 13.87723
0 0 0 0 2 0 Dy12 Start Jt. 4 13.87723 3.740506
1 0 0 0 3 -0.001818 qz7 Start Jt. 4 0 0
0 0 1 0 4 0.15387 Dx4 End Jt. 3 Ax3.740506 -13.87723
0 -1 0 0 5 -0.004307 Dy5 End Jt. 3 S -13.87723 -3.740506
0 0 0 1 6 0.001072 qz6 End Jt. 3 673.2911 673.2911
Pinned and Joint 4 Fixed:
7 1 2 3
-5169.379 -66.27409 0 -5169.379 8
0 0 -3717.949 0 9
537615.4 5169.379 0 268807.7 7
5169.379 66.27409 0 5169.379 1
0 0 3717.949 0 2
268807.7 5169.379 0 537615.4 3
3 4 5 6
-83.40744 -1087.172 -83.09398 -83.40744 1
1084.297 -13.34247 1084.297 2
226868.2 83.40744 -1084.297 113434.1 3
83.40744 1087.172 83.09398 83.40744 4
-1084.297 83.09398 13.34247 -1084.297 5
113434.1 83.40744 -1084.297 226868.2 6
Portal Frame Case #4 - Joint 1 Pinned and Joint 4 Fixed:
12 4 5 6
-3882.778 -43.14198 0 -3882.778 10
0 0 -3222.222 0 11
465933.3 3882.778 0 232966.7 12
3882.778 43.14198 0 3882.778 4
0 0 3222.222 0 5
232966.7 3882.778 0 465933.3 6

3 4 5 6 7 8 9 10 11 12
5085.971 -1087.172 -83.09398 -83.40744 5169.379 -66.27409 0 0 0 0
1084.297 0 -13.34247 1084.297 0 0 -3717.949 0 0 0
764483.6 83.40744 -1084.297 113434.1 268807.7 -5169.379 0 0 0 0
83.40744 1130.314 83.09398 3966.185 0 0 0 -43.14198 0 3882.778
-1084.297 83.09398 3235.565 -1084.297 0 0 0 0 -3222.222 0
113434.1 3966.185 -1084.297 692801.6 0 0 0 -3882.778 0 232966.7
268807.7 0 0 0 537615.4 -5169.379 0 0 0 0
-5169.379 0 0 0 -5169.379 66.27409 0 0 0 0
0 0 0 0 0 0 3717.949 0 0 0
0 -43.14198 0 -3882.778 0 0 0 43.14198 0 -3882.778
0 0 -3222.222 0 0 0 0 0 3222.222 0
0 3882.778 0 232966.7 0 0 0 -3882.778 0 465933.3
3 4 5 6 7
#VALUE! #VALUE! #VALUE! #VALUE! #VALUE! 1

Rx8 #VALUE! kips
Ry9 #VALUE! kips
Rx10 #VALUE! kips
Ry11 #VALUE! kips
Mz12 #VALUE! in-kips #VALUE!
q = k' * D * T D k' * D k' * D * T

1 0 0 0 3 #VALUE! qz7 Start Jt. 1 #VALUE! #VALUE!
0 0 1 0 4 #VALUE! Dx1 End Jt. 2 Ax #VALUE! #VALUE!
0 -1 0 0 5 #VALUE! Dy2 End Jt. 2 S #VALUE! #VALUE!
0 0 0 1 6 #VALUE! qz3 End Jt. 2 #VALUE! #VALUE!

0 0 0 0 1 #VALUE! Dx1 Start Jt. 2 #VALUE! #VALUE!
0 0 0 0 2 #VALUE! Dy2 Start Jt. 2 #VALUE! #VALUE!
0 0.997054 0.076696 0 4 #VALUE! Dx4 End Jt. 3 Ax #VALUE! #VALUE!
0 -0.076696 0.997054 0 5 #VALUE! Dy5 End Jt. 3 S #VALUE! #VALUE!

1 0 0 0 3 0 qz12 Start Jt. 4 #VALUE! #VALUE!
--- --- --- --- --- --- --- --- --- ---
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--- --- --- --- --- --- --- --- --- ---
--- --- --- --- --- --- --- --- --- ---
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--- --- --- --- --- --- --- --- --- ---
--- --- --- --- --- --- --- --- --- ---
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--- --- --- --- --- --- --- --- ---
--- --- --- --- --- --- --- --- --- ---
--- --- --- --- --- --- --- --- --- ---
--- --- --- --- --- --- --- --- --- ---
--- --- --- --- --- --- --- --- --- ---
--- --- --- --- --- --- --- --- --- ---
--- --- --- --- --- --- --- --- --- ---
--- --- --- --- --- --- --- --- --- ---
--- --- --- --- --- --- --- --- --- ---
--- --- --- --- --- --- --- --- --- ---
--- --- --- --- --- --- --- --- --- ---
--- --- --- --- --- --- --- --- --- ---
--- --- --- --- --- --- --- --- --- ---
--- --- --- --- --- --- --- --- --- ---
--- --- --- --- --- --- --- --- --- ---
--- --- --- --- --- --- --- --- --- ---
--- --- --- --- --- --- --- --- --- ---
--- --- --- --- --- --- --- --- --- ---
--- --- --- --- --- --- --- --- --- ---
--- --- --- --- --- --- --- --- --- ---
--- --- --- --- --- --- --- --- --- ---
--- --- --- --- --- --- --- --- --- ---
--- --- --- --- --- --- --- --- --- ---
--- --- --- --- --- --- --- --- --- ---
--- --- --- --- --- --- --- --- --- ---
0 0 0 0 0 0 0 0 0 0
-0.52 -0.135599 -1.33E-09 1.73E-10 0 0 0 0 0 0
-1.04 -0.542398 -1.06E-08 2.77E-09 0 0 0 0 0 0
-1.56 -1.220395 -3.59E-08 1.4E-08 0 0 0 0 0 0
-2.08 -2.169591 -8.5E-08 4.43E-08 0 0 0 0 0 0
-2.6 -3.389985 -1.66E-07 1.08E-07 0 0 0 0 0 0
-3.12 -4.881579 -2.87E-07 2.24E-07 0 0 0 0 0 0
-3.64 -6.644371 -4.56E-07 4.16E-07 0 0 0 0 0 0
-4.16 -8.678362 -6.8E-07 7.09E-07 0 0 0 0 0 0
-4.68 -10.98355 -9.68E-07 1.14E-06 0 0 0 0 0 0
-5.2 -13.55994 -1.33E-06 1.73E-06 0 0 0 0 0 0
-5.72 -16.40753 -1.77E-06 2.54E-06 0 0 0 0 0 0
-6.24 -19.52632 -2.3E-06 3.59E-06 0 0 0 0 0 0
-6.76 -22.9163 -2.92E-06 4.95E-06 0 0 0 0 0 0
-7.28 -26.57748 -3.64E-06 6.65E-06 0 0 0 0 0 0
-7.8 -30.50987 -4.48E-06 8.77E-06 0 0 0 0 0 0
-8.32 -34.71345 -5.44E-06 1.13E-05 0 0 0 0 0 0
-8.84 -39.18823 -6.53E-06 1.45E-05 0 0 0 0 0 0
-9.36 -43.93421 -7.75E-06 1.82E-05 0 0 0 0 0 0
-9.88 -48.95139 -9.11E-06 2.26E-05 0 0 0 0 0 0
-10.4 -54.23976 -1.06E-05 2.77E-05 0 0 0 0 0 0
-10.92 -59.79934 -1.23E-05 3.37E-05 0 0 0 0 0 0
-11.44 -65.63011 -1.41E-05 4.06E-05 0 0 0 0 0 0
-11.96 -71.73209 -1.62E-05 4.85E-05 0 0 0 0 0 0
-12.48 -78.10526 -1.84E-05 5.75E-05 0 0 0 0 0 0
-13 -84.74963 -2.08E-05 6.76E-05 0 0 0 0 0 0
-13.52 -91.6652 -2.33E-05 7.91E-05 0 0 0 0 0 0
-14.04 -98.85197 -2.61E-05 9.2E-05 0 0 0 0 0 0
-14.56 -106.3099 -2.92E-05 0.000106 0 0 0 0 0 0
-15.08 -114.0391 -3.24E-05 0.000122 0 0 0 0 0 0
-15.6 -122.0395 -3.59E-05 0.00014 0 0 0 0 0 0
-16.12 -130.311 -4E-05 0.00016 0 0 0 0 0 0
-16.64 -138.8538 -4.35E-05 0.000182 0 0 0 0 0 0
-17.16 -147.6678 -4.77E-05 0.000205 0 0 0 0 0
-17.68 -156.7529 -5.22E-05 0.000231 0 0 0 0 0
-18.2 -166.1093 -5.69E-05 0.00026 0 0 0 0 0
-18.72 -175.7368 -6.2E-05 0.000291 0 0 0 0 0
-19.24 -185.6356 -6.73E-05 0.000325 0 0 0 0 0
-19.76 -195.8055 -7.29E-05 0.000361 0 0 0 0 0
-20.28 -206.2467 -7.88E-05 0.000401 0 0 0 0 0
-20.8 -216.9591 -8.5E-05 0.000443 0 0 0 0 0
-21.32 -227.9426 -9.15E-05 0.000489 0 0 0 0 0
-21.84 -239.1974 -9.84E-05 0.000539 0 0 0 0 0
-22.36 -250.7233 -0.000106 0.000592 0 0 0 0 0
-22.88 -262.5205 -0.000113 0.000649 0 0 0 0 0
-23.4 -274.5888 -0.000121 0.00071 0 0 0 0 0
-23.92 -286.9284 -0.000129 0.000775 0 0 0 0 0
-24.44 -299.5391 -0.000138 0.000845 0 0 0 0 0
-24.96 -312.421 -0.000147 0.000919 0 0 0 0 0
-25.48 -325.5742 -0.000156 0.000998 0 0 0 0 0
-26 -338.9985 -0.000166 0.001082 0 0 0 0 0
0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0
-1E-09 -5E-19 -9.36E-36 2.34E-45 0 0 0 0 0
-1E-09 -5E-19 -9.36E-36 2.34E-45 0 0 0 0 0
-1E-09 -5E-19 -9.36E-36 2.34E-45 0 0 0 0 0
-1E-09 -5E-19 -9.36E-36 2.34E-45 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
-26 -338.9985 -0.000166 0.001082 0 0 0 0 0 0
-12.2841 -75.67245 -1.75E-05 5.39E-05 0 0 0 0 0 0
-12.49083 -78.24092 -1.84E-05 5.77E-05 0 0 0 0 0 0
-12.2841 -75.67245 -1.75E-05 5.39E-05 0 0 0 0 0 0
-12.49083 -78.24092 -1.84E-05 5.77E-05 0 0 0 0 0 0
--- --- --- --- --- --- --- --- --- ---
--- --- --- --- --- --- --- --- --- ---
--- --- --- --- --- --- --- --- --- ---
--- --- --- --- --- --- --- --- --- ---
--- --- --- --- --- --- --- --- --- ---
--- --- --- --- --- --- --- --- --- ---
--- --- --- --- --- --- --- --- --- ---
--- --- --- --- --- --- --- --- --- ---
--- --- --- --- --- --- --- --- --- ---
--- --- --- --- --- --- --- --- --- ---
--- --- --- --- --- --- --- --- --- ---
--- --- --- --- --- --- --- --- --- ---
--- --- --- --- --- --- --- --- --- ---
--- --- --- --- --- --- --- --- --- ---
--- --- --- --- --- --- --- --- --- ---
--- --- --- --- --- --- --- --- --- ---
--- --- --- --- --- --- --- --- --- ---
--- --- --- --- --- --- --- --- --- ---
--- --- --- --- --- --- --- --- --- ---
--- --- --- --- --- --- --- --- --- ---
--- --- --- --- --- --- --- --- --- ---
--- --- --- --- --- --- --- --- --- ---
--- --- --- --- --- --- --- --- --- ---
--- --- --- --- --- --- --- --- --- ---
--- --- --- --- --- --- --- --- --- ---
--- --- --- --- --- --- --- --- --- ---
--- --- --- --- --- --- --- --- --- ---
--- --- --- --- --- --- --- --- --- ---
--- --- --- --- --- --- --- --- ---
--- --- --- --- --- --- --- --- --- ---
--- --- --- --- --- --- --- --- --- ---
--- --- --- --- --- --- --- --- --- ---
--- --- --- --- --- --- --- --- --- ---
--- --- --- --- --- --- --- --- --- ---
--- --- --- --- --- --- --- --- --- ---
--- --- --- --- --- --- --- --- --- ---
--- --- --- --- --- --- --- --- --- ---
--- --- --- --- --- --- --- --- --- ---
--- --- --- --- --- --- --- --- --- ---
--- --- --- --- --- --- --- --- --- ---
--- --- --- --- --- --- --- --- --- ---
--- --- --- --- --- --- --- --- --- ---
--- --- --- --- --- --- --- --- --- ---
--- --- --- --- --- --- --- --- --- ---
--- --- --- --- --- --- --- --- --- ---
--- --- --- --- --- --- --- --- --- ---
--- --- --- --- --- --- --- --- --- ---
--- --- --- --- --- --- --- --- --- ---
--- --- --- --- --- --- --- --- --- ---
--- --- --- --- --- --- --- --- --- ---
--- --- --- --- --- --- --- --- --- ---
--- --- --- --- --- --- --- --- --- ---
--- --- --- --- --- --- --- --- --- ---
--- --- --- --- --- --- --- --- --- ---
--- --- --- --- --- --- --- --- --- ---
--- --- --- --- --- --- --- --- --- ---
--- --- --- --- --- --- --- --- --- ---
--- --- --- --- --- --- --- --- --- ---
--- --- --- --- --- --- --- --- --- ---
--- --- --- --- --- --- --- --- --- ---
--- --- --- --- --- --- --- --- --- ---
--- --- --- --- --- --- --- --- --- ---
--- --- --- --- --- --- --- --- --- ---
--- --- --- --- --- --- --- --- --- ---
--- --- --- --- --- --- --- --- --- ---
--- --- --- --- --- --- --- --- --- ---
--- --- --- --- --- --- --- --- --- ---
--- --- --- --- --- --- --- --- --- ---
--- --- --- --- --- --- --- --- --- ---
--- --- --- --- --- --- --- --- --- ---
--- --- --- --- --- --- --- --- --- ---
Distributed Load #4 Distributed Load #5
wb (k/ft.) e (ft.) we (k/ft.) b (ft.) wb (k/ft.) e (ft.) we (k/ft.)
0 0 0 0 0 0 0
0 0 0 0 0 0 0
0 0 0 0 0 0 0
0 0 0 0 0 0 0
0 0 0 0 0 0 0
0 0 0 0 0 0 0
Point Load #7 Point Load #8 Point Load #9 Point Load #10

P (kips) a (ft.) P (kips) a (ft.) P (kips) a (ft.) P (kips)
0 0 0 0 0 0 0
0 0 0 0 0 0 0
0 0 0 0 0 0 0
0 0 0 0 0 0 0
0 0 0 0 0 0 0
0 0 0 0 0 0 0

Functions Evaluated at x Loading Functions Evaluated at x = L Loading Functions Evaluated at x
Fqx FDx FvL FmL FqL FDL Fvx Fmx Fqx FDx
--- --- --- --- --- --- --- --- --- ---
--- --- --- --- --- --- --- --- --- ---
--- --- --- --- --- --- --- --- --- ---
--- --- --- --- --- --- --- --- --- ---
--- --- --- --- --- --- --- --- --- ---
--- --- --- --- --- --- --- --- --- ---
--- --- --- --- --- --- --- --- --- ---
--- --- --- --- --- --- --- --- --- ---
--- --- --- --- --- --- --- --- --- ---
--- --- --- --- --- --- --- --- --- ---
--- --- --- --- --- --- --- --- --- ---
--- --- --- --- --- --- --- --- ---
Displacements Vector, D:
1 Dx1 = ?
2 Dy2 = ?
3 qz3 = ? = Du
4 Dx4 = ?
5 Dy5 = ?
6 qz6 = ?
7 0 Dx7 = 0
8 0 Dy8 = 0
9 0 qz9 = 0 = Dk
10 0 Dx10 = 0
11 0 Dy11 = 0
12 0 qz12 = 0
#1 End Forces:
kips
kips
in-kips -2.287193
kips
kips
in-kips -36.04091
#2 End Forces:
kips
kips
in-kips 36.04091
kips
kips
in-kips -54.70873
#3 End Forces:
kips
kips
in-kips 38.26601
kips
kips
in-kips 54.70873
1 Dx1 = ?
2 Dy2 = ?
3 qz3 = ?
4 Dx4 = ? = Du
5 Dy5 = ?
6 qz6 = ?
7 qz7 = ?
8 qz8 = ?
9 0 Dx9 = 0
10 0 Dy10 = 0 = Dk
11 0 Dx11 = 0
12 0 Dy12 = 0
#1 End Forces:
kips
kips
in-kips #VALUE!
kips
kips
in-kips #VALUE!
#2 End Forces:
kips
kips
in-kips 16.27988
kips
kips
in-kips -67.53448
#3 End Forces:
kips
kips
in-kips 0
kips
kips
in-kips 67.53448

1 Dx1 = ?
2 Dy2 = ?
3 qz3 = ?
4 Dx4 = ? = Du
5 Dy5 = ?
6 qz6 = ?
7 qz7 = ?
8 0 Dx8 = 0
9 0 Dy9 = 0
10 0 qz10 = 0 = Dk
11 0 Dx11 = 0
12 0 Dy12 = 0
#1 End Forces:
kips
kips
in-kips 20.44065
kips
kips
in-kips -26.81723
#2 End Forces:
kips
kips
in-kips 26.81723
kips
kips
in-kips -56.10759
#3 End Forces:
kips
kips
in-kips 0
kips
kips
in-kips 56.10759
1 Dx1 = ?
2 Dy2 = ?
3 qz3 = ?
4 Dx4 = ? = Du
5 Dy5 = ?
6 qz6 = ?
7 qz7 = ?
8 0 Dx8 = 0
9 0 Dy9 = 0
10 0 Dx10 = 0 = Dk
11 0 Dy11 = 0
12 0 qz12 = 0
#1 End Forces:
kips
kips
in-kips #VALUE!
kips
kips
in-kips #VALUE!
#2 End Forces:
kips
kips
in-kips #VALUE!
kips
kips
in-kips #VALUE!
#3 End Forces:
kips
kips
in-kips #VALUE!
kips
kips
in-kips #VALUE!
--- --- --- --- --- --- --- --- --- ---
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For Distributed Load #4 For Distributed Load #5
Loading Functions Evaluated at x = L Loading Functions Evaluated at x Loading Functions Evaluated at x =
FvL FmL FqL FDL Fvx Fmx Fqx FDx FvL FmL
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buted Load #5 For All 10 Point Loads
Functions Evaluated at x = L Loading Functions Evaluated at x Loading Functions Evaluated at x = L
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0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
--- --- --- --- --- --- 0 0 0 0
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For All 4 Applied Moments
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
For All 4 Externally Applied Moments Plus Internal End Moments
0 0 0 0 0 38.3281 1.42E-06 -9.22E-06 0 2.287193
0 0 0 0 0 38.3281 1.42E-06 -9.22E-06 0 2.287193
0 0 0 0 0 38.3281 1.42E-06 -9.22E-06 0 2.287193
0 0 0 0 0 38.3281 1.42E-06 -9.22E-06 0 2.287193
0 0 0 0 0 38.3281 1.42E-06 -9.22E-06 0 2.287193
0 0 0 0 0 38.3281 1.42E-06 -9.22E-06 0 2.287193
0 0 0 0 0 38.3281 1.42E-06 -9.22E-06 0 2.287193
0 0 0 0 0 38.3281 1.42E-06 -9.22E-06 0 2.287193
0 0 0 0 0 38.3281 1.42E-06 -9.22E-06 0 2.287193
0 0 0 0 0 38.3281 1.42E-06 -9.22E-06 0 2.287193
0 0 0 0 0 38.3281 1.42E-06 -9.22E-06 0 2.287193
0 0 0 0 0 38.3281 1.42E-06 -9.22E-06 0 2.287193
0 0 0 0 0 38.3281 1.42E-06 -9.22E-06 0 2.287193
0 0 0 0 0 38.3281 1.42E-06 -9.22E-06 0 2.287193
0 0 0 0 0 38.3281 1.42E-06 -9.22E-06 0 2.287193
0 0 0 0 0 38.3281 1.42E-06 -9.22E-06 0 2.287193
0 0 0 0 0 38.3281 1.42E-06 -9.22E-06 0 2.287193
0 0 0 0 0 38.3281 1.42E-06 -9.22E-06 0 2.287193
0 0 0 0 0 38.3281 1.42E-06 -9.22E-06 0 2.287193
0 0 0 0 0 38.3281 1.42E-06 -9.22E-06 0 2.287193
0 0 0 0 0 38.3281 1.42E-06 -9.22E-06 0 2.287193
0 0 0 0 0 38.3281 1.42E-06 -9.22E-06 0 2.287193
0 0 0 0 0 38.3281 1.42E-06 -9.22E-06 0 2.287193
0 0 0 0 0 38.3281 1.42E-06 -9.22E-06 0 2.287193
0 0 0 0 0 38.3281 1.42E-06 -9.22E-06 0 2.287193
0 0 0 0 0 38.3281 1.42E-06 -9.22E-06 0 2.287193
0 0 0 0 0 38.3281 1.42E-06 -9.22E-06 0 2.287193
0 0 0 0 0 38.3281 1.42E-06 -9.22E-06 0 2.287193
0 0 0 0 0 38.3281 1.42E-06 -9.22E-06 0 2.287193
0 0 0 0 0 38.3281 1.42E-06 -9.22E-06 0 2.287193
0 0 0 0 0 38.3281 1.42E-06 -9.22E-06 0 2.287193
0 0 0 0 0 38.3281 1.42E-06 -9.22E-06 0 2.287193
0 0 0 0 0 38.3281 1.42E-06 -9.22E-06 0 2.287193
0 0 0 0 0 38.3281 1.42E-06 -9.22E-06 0 2.287193
0 0 0 0 0 38.3281 1.42E-06 -9.22E-06 0 2.287193
0 0 0 0 0 38.3281 1.42E-06 -9.22E-06 0 2.287193
0 0 0 0 0 38.3281 1.42E-06 -9.22E-06 0 2.287193
0 0 0 0 0 38.3281 1.42E-06 -9.22E-06 0 2.287193
0 0 0 0 0 38.3281 1.42E-06 -9.22E-06 0 2.287193
0 0 0 0 0 38.3281 1.42E-06 -9.22E-06 0 2.287193
0 0 0 0 0 38.3281 1.42E-06 -9.22E-06 0 2.287193
0 0 0 0 0 38.3281 1.42E-06 -9.22E-06 0 2.287193
0 0 0 0 0 38.3281 1.42E-06 -9.22E-06 0 2.287193
0 0 0 0 0 38.3281 1.42E-06 -9.22E-06 0 2.287193
0 0 0 0 0 38.3281 1.42E-06 -9.22E-06 0 2.287193
0 0 0 0 0 38.3281 1.42E-06 -9.22E-06 0 2.287193
0 0 0 0 0 38.3281 1.42E-06 -9.22E-06 0 2.287193
0 0 0 0 0 38.3281 1.42E-06 -9.22E-06 0 2.287193
0 0 0 0 0 38.3281 1.42E-06 -9.22E-06 0 2.287193
0 0 0 0 0 38.3281 1.42E-06 -9.22E-06 0 2.287193
0 0 0 0 0 38.3281 1.42E-06 -9.22E-06 0 2.287193
0 0 0 0 0 38.3281 1.42E-06 -9.22E-06 0 0
0 0 0 0 0 38.3281 1.42E-06 -9.22E-06 0 0
0 0 0 0 0 38.3281 1.42E-06 -9.22E-06 0 0
0 0 0 0 0 38.3281 1.42E-06 -9.22E-06 0 0
0 0 0 0 0 38.3281 1.42E-06 -9.22E-06 0 0
0 0 0 0 0 38.3281 1.42E-06 -9.22E-06 0 0
0 0 0 0 0 38.3281 1.42E-06 -9.22E-06 0 0
0 0 0 0 0 38.3281 1.42E-06 -9.22E-06 0 0
0 0 0 0 0 38.3281 1.42E-06 -9.22E-06 0 0
0 0 0 0 0 38.3281 1.42E-06 -9.22E-06 0 0
0 0 0 0 0 38.3281 1.42E-06 -9.22E-06 0 2.287193
0 0 0 0 0 38.3281 1.42E-06 -9.22E-06 0 2.287193
0 0 0 0 0 38.3281 1.42E-06 -9.22E-06 0 2.287193
0 0 0 0 0 38.3281 1.42E-06 -9.22E-06 0 2.287193
0 0 0 0 0 38.3281 1.42E-06 -9.22E-06 0 2.287193
0 0 0 0 0 38.3281 1.42E-06 -9.22E-06 0 2.287193
0 0 0 0 0 38.3281 1.42E-06 -9.22E-06 0 2.287193
0 0 0 0 0 38.3281 1.42E-06 -9.22E-06 0 2.287193
0 0 0 0 0 38.3281 1.42E-06 -9.22E-06 0 2.287193
0 0 0 0 0 38.3281 1.42E-06 -9.22E-06 0 2.287193
0 0 0 0 0 18.66782 -5.3E-05 0.00069 0 -36.04091
0 0 0 0 0 18.66782 -5.3E-05 0.00069 0 -36.04091
0 0 0 0 0 18.66782 -5.3E-05 0.00069 0 -36.04091
0 0 0 0 0 18.66782 -5.3E-05 0.00069 0 -36.04091
0 0 0 0 0 18.66782 -5.3E-05 0.00069 0 -36.04091
0 0 0 0 0 18.66782 -5.3E-05 0.00069 0 -36.04091
0 0 0 0 0 18.66782 -5.3E-05 0.00069 0 -36.04091
0 0 0 0 0 18.66782 -5.3E-05 0.00069 0 -36.04091
0 0 0 0 0 18.66782 -5.3E-05 0.00069 0 -36.04091
0 0 0 0 0 18.66782 -5.3E-05 0.00069 0 -36.04091
0 0 0 0 0 18.66782 -5.3E-05 0.00069 0 -36.04091
0 0 0 0 0 18.66782 -5.3E-05 0.00069 0 -36.04091
0 0 0 0 0 18.66782 -5.3E-05 0.00069 0 -36.04091
0 0 0 0 0 18.66782 -5.3E-05 0.00069 0 -36.04091
0 0 0 0 0 18.66782 -5.3E-05 0.00069 0 -36.04091
0 0 0 0 0 18.66782 -5.3E-05 0.00069 0 -36.04091
0 0 0 0 0 18.66782 -5.3E-05 0.00069 0 -36.04091
0 0 0 0 0 18.66782 -5.3E-05 0.00069 0 -36.04091
0 0 0 0 0 18.66782 -5.3E-05 0.00069 0 -36.04091
0 0 0 0 0 18.66782 -5.3E-05 0.00069 0 -36.04091
0 0 0 0 0 18.66782 -5.3E-05 0.00069 0 -36.04091
0 0 0 0 0 18.66782 -5.3E-05 0.00069 0 -36.04091
0 0 0 0 0 18.66782 -5.3E-05 0.00069 0 -36.04091
0 0 0 0 0 18.66782 -5.3E-05 0.00069 0 -36.04091
0 0 0 0 0 18.66782 -5.3E-05 0.00069 0 -36.04091
0 0 0 0 0 18.66782 -5.3E-05 0.00069 0 -36.04091
0 0 0 0 0 18.66782 -5.3E-05 0.00069 0 -36.04091
0 0 0 0 0 18.66782 -5.3E-05 0.00069 0 -36.04091
0 0 0 0 0 18.66782 -5.3E-05 0.00069 0 -36.04091
0 0 0 0 0 18.66782 -5.3E-05 0.00069 0 -36.04091
0 0 0 0 0 18.66782 -5.3E-05 0.00069 0 -36.04091
0 0 0 0 0 18.66782 -5.3E-05 0.00069 0 -36.04091
0 0 0 0 0 18.66782 -5.3E-05 0.00069 0 -36.04091
0 0 0 0 0 18.66782 -5.3E-05 0.00069 0 -36.04091
0 0 0 0 0 18.66782 -5.3E-05 0.00069 0 -36.04091
0 0 0 0 0 18.66782 -5.3E-05 0.00069 0 -36.04091
0 0 0 0 0 18.66782 -5.3E-05 0.00069 0 -36.04091
0 0 0 0 0 18.66782 -5.3E-05 0.00069 0 -36.04091
0 0 0 0 0 18.66782 -5.3E-05 0.00069 0 -36.04091
0 0 0 0 0 18.66782 -5.3E-05 0.00069 0 -36.04091
0 0 0 0 0 18.66782 -5.3E-05 0.00069 0 -36.04091
0 0 0 0 0 18.66782 -5.3E-05 0.00069 0 -36.04091
0 0 0 0 0 18.66782 -5.3E-05 0.00069 0 -36.04091
0 0 0 0 0 18.66782 -5.3E-05 0.00069 0 -36.04091
0 0 0 0 0 18.66782 -5.3E-05 0.00069 0 -36.04091
0 0 0 0 0 18.66782 -5.3E-05 0.00069 0 -36.04091
0 0 0 0 0 18.66782 -5.3E-05 0.00069 0 -36.04091
0 0 0 0 0 18.66782 -5.3E-05 0.00069 0 -36.04091
0 0 0 0 0 18.66782 -5.3E-05 0.00069 0 -36.04091
0 0 0 0 0 18.66782 -5.3E-05 0.00069 0 -36.04091
0 0 0 0 0 18.66782 -5.3E-05 0.00069 0 -36.04091
0 0 0 0 0 18.66782 -5.3E-05 0.00069 0 0
0 0 0 0 0 18.66782 -5.3E-05 0.00069 0 0
0 0 0 0 0 18.66782 -5.3E-05 0.00069 0 0
0 0 0 0 0 18.66782 -5.3E-05 0.00069 0 0
0 0 0 0 0 18.66782 -5.3E-05 0.00069 0 0
0 0 0 0 0 18.66782 -5.3E-05 0.00069 0 0
0 0 0 0 0 18.66782 -5.3E-05 0.00069 0 0
0 0 0 0 0 18.66782 -5.3E-05 0.00069 0 0
0 0 0 0 0 18.66782 -5.3E-05 0.00069 0 0
0 0 0 0 0 18.66782 -5.3E-05 0.00069 0 0
0 0 0 0 0 18.66782 -5.3E-05 0.00069 0 -36.04091
0 0 0 0 0 18.66782 -5.3E-05 0.00069 0 -36.04091
0 0 0 0 0 18.66782 -5.3E-05 0.00069 0 -36.04091
0 0 0 0 0 18.66782 -5.3E-05 0.00069 0 -36.04091
0 0 0 0 0 18.66782 -5.3E-05 0.00069 0 -36.04091
0 0 0 0 0 18.66782 -5.3E-05 0.00069 0 -36.04091
0 0 0 0 0 18.66782 -5.3E-05 0.00069 0 -36.04091
0 0 0 0 0 18.66782 -5.3E-05 0.00069 0 -36.04091
0 0 0 0 0 18.66782 -5.3E-05 0.00069 0 -36.04091
0 0 0 0 0 18.66782 -5.3E-05 0.00069 0 -36.04091
0 0 0 0 0 -92.97473 -2.74E-05 0.000205 0 -38.26601
0 0 0 0 0 -92.97473 -2.74E-05 0.000205 0 -38.26601
0 0 0 0 0 -92.97473 -2.74E-05 0.000205 0 -38.26601
0 0 0 0 0 -92.97473 -2.74E-05 0.000205 0 -38.26601
0 0 0 0 0 -92.97473 -2.74E-05 0.000205 0 -38.26601
0 0 0 0 0 -92.97473 -2.74E-05 0.000205 0 -38.26601
0 0 0 0 0 -92.97473 -2.74E-05 0.000205 0 -38.26601
0 0 0 0 0 -92.97473 -2.74E-05 0.000205 0 -38.26601
0 0 0 0 0 -92.97473 -2.74E-05 0.000205 0 -38.26601
0 0 0 0 0 -92.97473 -2.74E-05 0.000205 0 -38.26601
0 0 0 0 0 -92.97473 -2.74E-05 0.000205 0 -38.26601
0 0 0 0 0 -92.97473 -2.74E-05 0.000205 0 -38.26601
0 0 0 0 0 -92.97473 -2.74E-05 0.000205 0 -38.26601
0 0 0 0 0 -92.97473 -2.74E-05 0.000205 0 -38.26601
0 0 0 0 0 -92.97473 -2.74E-05 0.000205 0 -38.26601
0 0 0 0 0 -92.97473 -2.74E-05 0.000205 0 -38.26601
0 0 0 0 0 -92.97473 -2.74E-05 0.000205 0 -38.26601
0 0 0 0 0 -92.97473 -2.74E-05 0.000205 0 -38.26601
0 0 0 0 0 -92.97473 -2.74E-05 0.000205 0 -38.26601
0 0 0 0 0 -92.97473 -2.74E-05 0.000205 0 -38.26601
0 0 0 0 0 -92.97473 -2.74E-05 0.000205 0 -38.26601
0 0 0 0 0 -92.97473 -2.74E-05 0.000205 0 -38.26601
0 0 0 0 0 -92.97473 -2.74E-05 0.000205 0 -38.26601
0 0 0 0 0 -92.97473 -2.74E-05 0.000205 0 -38.26601
0 0 0 0 0 -92.97473 -2.74E-05 0.000205 0 -38.26601
0 0 0 0 0 -92.97473 -2.74E-05 0.000205 0 -38.26601
0 0 0 0 0 -92.97473 -2.74E-05 0.000205 0 -38.26601
0 0 0 0 0 -92.97473 -2.74E-05 0.000205 0 -38.26601
0 0 0 0 0 -92.97473 -2.74E-05 0.000205 0 -38.26601
0 0 0 0 0 -92.97473 -2.74E-05 0.000205 0 -38.26601
0 0 0 0 0 -92.97473 -2.74E-05 0.000205 0 -38.26601
0 0 0 0 0 -92.97473 -2.74E-05 0.000205 0 -38.26601
0 0 0 0 0 -92.97473 -2.74E-05 0.000205 0 -38.26601
0 0 0 0 0 -92.97473 -2.74E-05 0.000205 0 -38.26601
0 0 0 0 0 -92.97473 -2.74E-05 0.000205 0 -38.26601
0 0 0 0 0 -92.97473 -2.74E-05 0.000205 0 -38.26601
0 0 0 0 0 -92.97473 -2.74E-05 0.000205 0 -38.26601
0 0 0 0 0 -92.97473 -2.74E-05 0.000205 0 -38.26601
0 0 0 0 0 -92.97473 -2.74E-05 0.000205 0 -38.26601
0 0 0 0 0 -92.97473 -2.74E-05 0.000205 0 -38.26601
0 0 0 0 0 -92.97473 -2.74E-05 0.000205 0 -38.26601
0 0 0 0 0 -92.97473 -2.74E-05 0.000205 0 -38.26601
0 0 0 0 0 -92.97473 -2.74E-05 0.000205 0 -38.26601
0 0 0 0 0 -92.97473 -2.74E-05 0.000205 0 -38.26601
0 0 0 0 0 -92.97473 -2.74E-05 0.000205 0 -38.26601
0 0 0 0 0 -92.97473 -2.74E-05 0.000205 0 -38.26601
0 0 0 0 0 -92.97473 -2.74E-05 0.000205 0 -38.26601
0 0 0 0 0 -92.97473 -2.74E-05 0.000205 0 -38.26601
0 0 0 0 0 -92.97473 -2.74E-05 0.000205 0 -38.26601
0 0 0 0 0 -92.97473 -2.74E-05 0.000205 0 -38.26601
0 0 0 0 0 -92.97473 -2.74E-05 0.000205 0 -38.26601
0 0 0 0 0 -92.97473 -2.74E-05 0.000205 0 0
0 0 0 0 0 -92.97473 -2.74E-05 0.000205 0 0
0 0 0 0 0 -92.97473 -2.74E-05 0.000205 0 0
0 0 0 0 0 -92.97473 -2.74E-05 0.000205 0 0
0 0 0 0 0 -92.97473 -2.74E-05 0.000205 0 0
0 0 0 0 0 -92.97473 -2.74E-05 0.000205 0 0
0 0 0 0 0 -92.97473 -2.74E-05 0.000205 0 0
0 0 0 0 0 -92.97473 -2.74E-05 0.000205 0 0
0 0 0 0 0 -92.97473 -2.74E-05 0.000205 0 0
0 0 0 0 0 -92.97473 -2.74E-05 0.000205 0 0
0 0 0 0 0 -92.97473 -2.74E-05 0.000205 0 -38.26601
0 0 0 0 0 -92.97473 -2.74E-05 0.000205 0 -38.26601
0 0 0 0 0 -92.97473 -2.74E-05 0.000205 0 -38.26601
0 0 0 0 0 -92.97473 -2.74E-05 0.000205 0 -38.26601
0 0 0 0 0 -92.97473 -2.74E-05 0.000205 0 -38.26601
0 0 0 0 0 -92.97473 -2.74E-05 0.000205 0 -38.26601
0 0 0 0 0 -92.97473 -2.74E-05 0.000205 0 -38.26601
0 0 0 0 0 -92.97473 -2.74E-05 0.000205 0 -38.26601
0 0 0 0 0 -92.97473 -2.74E-05 0.000205 0 -38.26601
0 0 0 0 0 -92.97473 -2.74E-05 0.000205 0 -38.26601
Summations of Loading Functions for All Loads
Functions Evaluated at x For Loading Functions Evaluated at x = L For Loading Functions Evaluated at x
Fqx FDx SFvL SFmL SFqL SFDL SFvx SFmx SFqx SFDx
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
0 0 -26 -338.9985 -0.000166 0.001082 0 0 0 0
0 0 -26 -338.9985 -0.000166 0.001082 -26 -338.9985 -0.000166 0.001082
0 0 0 -26.07681 -1.28E-05 8.33E-05 0 0 0 0
0 0 0 -26.07681 -1.28E-05 8.33E-05 -2 -26.07681 -1.28E-05 8.33E-05
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
0 0 0 38.3281 1.42E-06 -9.22E-06 0 2.287193 0 0
2.84E-08 -3.69E-09 0 38.3281 1.42E-06 -9.22E-06 0 2.287193 2.84E-08 -3.69E-09
5.67E-08 -1.47E-08 0 38.3281 1.42E-06 -9.22E-06 0 2.287193 5.67E-08 -1.47E-08
8.51E-08 -3.32E-08 0 38.3281 1.42E-06 -9.22E-06 0 2.287193 8.51E-08 -3.32E-08
1.13E-07 -5.9E-08 0 38.3281 1.42E-06 -9.22E-06 0 2.287193 1.13E-07 -5.9E-08
1.42E-07 -9.22E-08 0 38.3281 1.42E-06 -9.22E-06 0 2.287193 1.42E-07 -9.22E-08
1.7E-07 -1.33E-07 0 38.3281 1.42E-06 -9.22E-06 0 2.287193 1.7E-07 -1.33E-07
1.99E-07 -1.81E-07 0 38.3281 1.42E-06 -9.22E-06 0 2.287193 1.99E-07 -1.81E-07
2.27E-07 -2.36E-07 0 38.3281 1.42E-06 -9.22E-06 0 2.287193 2.27E-07 -2.36E-07
2.55E-07 -3E-07 0 38.3281 1.42E-06 -9.22E-06 0 2.287193 2.55E-07 -3E-07
2.84E-07 -3.69E-07 0 38.3281 1.42E-06 -9.22E-06 0 2.287193 2.84E-07 -3.69E-07
3.12E-07 -4.46E-07 0 38.3281 1.42E-06 -9.22E-06 0 2.287193 3.12E-07 -4.46E-07
3.4E-07 -5.31E-07 0 38.3281 1.42E-06 -9.22E-06 0 2.287193 3.4E-07 -5.31E-07
3.69E-07 -6.23E-07 0 38.3281 1.42E-06 -9.22E-06 0 2.287193 3.69E-07 -6.23E-07
3.97E-07 -7.23E-07 0 38.3281 1.42E-06 -9.22E-06 0 2.287193 3.97E-07 -7.23E-07
4.25E-07 -8.3E-07 0 38.3281 1.42E-06 -9.22E-06 0 2.287193 4.25E-07 -8.3E-07
4.54E-07 -9.44E-07 0 38.3281 1.42E-06 -9.22E-06 0 2.287193 4.54E-07 -9.44E-07
4.82E-07 -1.07E-06 0 38.3281 1.42E-06 -9.22E-06 0 2.287193 4.82E-07 -1.07E-06
5.11E-07 -1.19E-06 0 38.3281 1.42E-06 -9.22E-06 0 2.287193 5.11E-07 -1.19E-06
5.39E-07 -1.33E-06 0 38.3281 1.42E-06 -9.22E-06 0 2.287193 5.39E-07 -1.33E-06
5.67E-07 -1.47E-06 0 38.3281 1.42E-06 -9.22E-06 0 2.287193 5.67E-07 -1.47E-06
5.96E-07 -1.63E-06 0 38.3281 1.42E-06 -9.22E-06 0 2.287193 5.96E-07 -1.63E-06
6.24E-07 -1.78E-06 0 38.3281 1.42E-06 -9.22E-06 0 2.287193 6.24E-07 -1.78E-06
6.52E-07 -2E-06 0 38.3281 1.42E-06 -9.22E-06 0 2.287193 6.52E-07 -2E-06
6.81E-07 -2.12E-06 0 38.3281 1.42E-06 -9.22E-06 0 2.287193 6.81E-07 -2.12E-06
7.09E-07 -2.3E-06 0 38.3281 1.42E-06 -9.22E-06 0 2.287193 7.09E-07 -2.3E-06
7.37E-07 -2.49E-06 0 38.3281 1.42E-06 -9.22E-06 0 2.287193 7.37E-07 -2.49E-06
7.66E-07 -2.69E-06 0 38.3281 1.42E-06 -9.22E-06 0 2.287193 7.66E-07 -2.69E-06
7.94E-07 -2.89E-06 0 38.3281 1.42E-06 -9.22E-06 0 2.287193 7.94E-07 -2.89E-06
8.23E-07 -3.1E-06 0 38.3281 1.42E-06 -9.22E-06 0 2.287193 8.23E-07 -3.1E-06
8.51E-07 -3.32E-06 0 38.3281 1.42E-06 -9.22E-06 0 2.287193 8.51E-07 -3.32E-06
8.79E-07 -3.54E-06 0 38.3281 1.42E-06 -9.22E-06 0 2.287193 8.79E-07 -3.54E-06
9.08E-07 -3.78E-06 0 38.3281 1.42E-06 -9.22E-06 0 2.287193 9.08E-07 -3.78E-06
9.36E-07 -4E-06 0 38.3281 1.42E-06 -9.22E-06 0 2.287193 9.36E-07 -4E-06
9.64E-07 -4.26E-06 0 38.3281 1.42E-06 -9.22E-06 0 2.287193 9.64E-07 -4.26E-06
9.93E-07 -4.52E-06 0 38.3281 1.42E-06 -9.22E-06 0 2.287193 9.93E-07 -4.52E-06
1.02E-06 -4.78E-06 0 38.3281 1.42E-06 -9.22E-06 0 2.287193 1.02E-06 -4.78E-06
1.05E-06 -5E-06 0 38.3281 1.42E-06 -9.22E-06 0 2.287193 1.05E-06 -5E-06
1.08E-06 -5.32E-06 0 38.3281 1.42E-06 -9.22E-06 0 2.287193 1.08E-06 -5.32E-06
1.11E-06 -5.61E-06 0 38.3281 1.42E-06 -9.22E-06 0 2.287193 1.11E-06 -5.61E-06
1.13E-06 -5.9E-06 0 38.3281 1.42E-06 -9.22E-06 0 2.287193 1.13E-06 -5.9E-06
1.16E-06 -6.2E-06 0 38.3281 1.42E-06 -9.22E-06 0 2.287193 1.16E-06 -6.2E-06
1.19E-06 -6.5E-06 0 38.3281 1.42E-06 -9.22E-06 0 2.287193 1.19E-06 -6.5E-06
1.22E-06 -6.82E-06 0 38.3281 1.42E-06 -9.22E-06 0 2.287193 1.22E-06 -6.82E-06
1.25E-06 -7.14E-06 0 38.3281 1.42E-06 -9.22E-06 0 2.287193 1.25E-06 -7.14E-06
1.28E-06 -7.47E-06 0 38.3281 1.42E-06 -9.22E-06 0 2.287193 1.28E-06 -7.47E-06
1.3E-06 -7.8E-06 0 38.3281 1.42E-06 -9.22E-06 0 2.287193 1.3E-06 -7.8E-06
1.33E-06 -8.14E-06 0 38.3281 1.42E-06 -9.22E-06 0 2.287193 1.33E-06 -8.14E-06
1.36E-06 -8.5E-06 0 38.3281 1.42E-06 -9.22E-06 0 2.287193 1.36E-06 -8.5E-06
1.39E-06 -8.85E-06 0 38.3281 1.42E-06 -9.22E-06 0 2.287193 1.39E-06 -8.85E-06
1.42E-06 -9.22E-06 0 38.3281 1.42E-06 -9.22E-06 0 2.287193 1.42E-06 -9.22E-06
0 0 0 38.3281 1.42E-06 -9.22E-06 0 0 0 0
0 0 0 38.3281 1.42E-06 -9.22E-06 0 0 0 0
0 0 0 38.3281 1.42E-06 -9.22E-06 0 0 0 0
0 0 0 38.3281 1.42E-06 -9.22E-06 0 0 0 0
0 0 0 38.3281 1.42E-06 -9.22E-06 0 0 0 0
0 0 0 38.3281 1.42E-06 -9.22E-06 0 0 0 0
0 0 0 38.3281 1.42E-06 -9.22E-06 0 0 0 0
0 0 0 38.3281 1.42E-06 -9.22E-06 0 0 0 0
0 0 0 38.3281 1.42E-06 -9.22E-06 0 0 0 0
0 0 0 38.3281 1.42E-06 -9.22E-06 0 0 0 0
1.09E-16 -5.45E-26 0 38.3281 1.42E-06 -9.22E-06 0 2.287193 1.09E-16 -5.45E-26
1.09E-16 -5.45E-26 0 38.3281 1.42E-06 -9.22E-06 0 2.287193 1.09E-16 -5.45E-26
1.09E-16 -5.45E-26 0 38.3281 1.42E-06 -9.22E-06 0 2.287193 1.09E-16 -5.45E-26
-5.45E-26 0 38.3281 1.42E-06 -9.22E-06 0 2.287193 0 -5.45E-26
0 0 38.3281 1.42E-06 -9.22E-06 0 2.287193 0 0
-9.22E-06 0 38.3281 1.42E-06 -9.22E-06 0 2.287193 0 -9.22E-06
0 0 38.3281 1.42E-06 -9.22E-06 0 2.287193 0 0
-3.17E-06 0 38.3281 1.42E-06 -9.22E-06 0 2.287193 0 -3.17E-06
0 0 38.3281 1.42E-06 -9.22E-06 0 2.287193 0 0
-3.17E-06 0 38.3281 1.42E-06 -9.22E-06 0 2.287193 0 -3.17E-06
0 0 -26 -320.3307 -0.000219 0.001773 0 -36.04091 0 0
-1.06E-06 2.76E-07 -26 -320.3307 -0.000219 0.001773 -0.52 -36.17651 -1.06E-06 2.76E-07
-2.12E-06 1.1E-06 -26 -320.3307 -0.000219 0.001773 -1.04 -36.58331 -2.13E-06 1.11E-06
-3.18E-06 2.49E-06 -26 -320.3307 -0.000219 0.001773 -1.56 -37.2613 -3.21E-06 2.5E-06
-4.24E-06 4.42E-06 -26 -320.3307 -0.000219 0.001773 -2.08 -38.2105 -4.32E-06 4.46E-06
-5.3E-06 6.9E-06 -26 -320.3307 -0.000219 0.001773 -2.6 -39.43089 -5.46E-06 7.01E-06
-6.35E-06 9.94E-06 -26 -320.3307 -0.000219 0.001773 -3.12 -40.92249 -6.64E-06 1.02E-05
-7.41E-06 1.35E-05 -26 -320.3307 -0.000219 0.001773 -3.64 -42.68528 -7.87E-06 1.39E-05
-8.47E-06 1.77E-05 -26 -320.3307 -0.000219 0.001773 -4.16 -44.71927 -9.15E-06 1.84E-05
-9.53E-06 2.24E-05 -26 -320.3307 -0.000219 0.001773 -4.68 -47.02446 -1.05E-05 2.35E-05
-1.06E-05 2.76E-05 -26 -320.3307 -0.000219 0.001773 -5.2 -49.60085 -1.19E-05 2.93E-05
-1.16E-05 3.34E-05 -26 -320.3307 -0.000219 0.001773 -5.72 -52.44844 -1.34E-05 3.6E-05
-1.27E-05 3.98E-05 -26 -320.3307 -0.000219 0.001773 -6.24 -55.56722 -1.5E-05 4.34E-05
-1.38E-05 4.67E-05 -26 -320.3307 -0.000219 0.001773 -6.76 -58.95721 -1.67E-05 5.16E-05
-1.48E-05 5.41E-05 -26 -320.3307 -0.000219 0.001773 -7.28 -62.61839 -1.85E-05 6.08E-05
-1.59E-05 -26 -320.3307 -0.000219 0.001773 -7.8 -66.55078 -2E-05 8.77E-06
-1.69E-05 7.07E-05 -26 -320.3307 -0.000219 0.001773 -8.32 -70.75436 -2.24E-05 8.21E-05
-1.8E-05 7.98E-05 -26 -320.3307 -0.000219 0.001773 -8.84 -75.22914 -2.45E-05 9.43E-05
-1.91E-05 8.95E-05 -26 -320.3307 -0.000219 0.001773 -9.36 -79.97512 -2.68E-05 0.000108
-2E-05 9.97E-05 -26 -320.3307 -0.000219 0.001773 -9.88 -84.9923 -2.92E-05 0.000122
-2.12E-05 0.00011 -26 -320.3307 -0.000219 0.001773 -10.4 -90.28067 -3.18E-05 0.000138
-2.22E-05 0.000122 -26 -320.3307 -0.000219 0.001773 -10.92 -95.84025 -3.45E-05 0.000155
-2.33E-05 0.000134 -26 -320.3307 -0.000219 0.001773 -11.44 -101.671 -3.74E-05 0.000174
-2.44E-05 0.000146 -26 -320.3307 -0.000219 0.001773 -11.96 -107.773 -4.05E-05 0.000195
-2.54E-05 0.000159 -26 -320.3307 -0.000219 0.001773 -12.48 -114.1462 -4.38E-05 0.000217
-2.65E-05 0.000173 -26 -320.3307 -0.000219 0.001773 -13 -120.7905 -4.72E-05 0.00024
-2.75E-05 0.000187 -26 -320.3307 -0.000219 0.001773 -13.52 -127.7061 -5.09E-05 0.000266
-2.86E-05 0.000201 -26 -320.3307 -0.000219 0.001773 -14.04 -134.8929 -5.47E-05 0.000293
-3E-05 0.000217 -26 -320.3307 -0.000219 0.001773 -14.56 -142.3508 -5.88E-05 0.000323
-3.07E-05 0.000232 -26 -320.3307 -0.000219 0.001773 -15.08 -150.08 -6.31E-05 0.000355
-3.18E-05 0.000249 -26 -320.3307 -0.000219 0.001773 -15.6 -158.0804 -6.76E-05 0.000389
-3.28E-05 0.000265 -26 -320.3307 -0.000219 0.001773 -16.12 -166.3519 -7.24E-05 0.000425
-3.39E-05 0.000283 -26 -320.3307 -0.000219 0.001773 -16.64 -174.8947 -7.74E-05 0.000464
-3.49E-05 0.000301 -26 -320.3307 -0.000219 0.001773 -17.16 -183.7087 -8.27E-05 0.000506
-3.6E-05 0.000319 -26 -320.3307 -0.000219 0.001773 -17.68 -192.7938 -8.82E-05 0.000551
-3.71E-05 0.000338 -26 -320.3307 -0.000219 0.001773 -18.2 -202.1502 -9.4E-05 0.000598
-3.81E-05 0.000358 -26 -320.3307 -0.000219 0.001773 -18.72 -211.7777 -0.0001 0.000649
-3.92E-05 0.000378 -26 -320.3307 -0.000219 0.001773 -19.24 -221.6765 -0.000106 0.000703
-4E-05 0.000399 -26 -320.3307 -0.000219 0.001773 -19.76 -231.8465 -0.000113 0.00076
-4.13E-05 0.00042 -26 -320.3307 -0.000219 0.001773 -20.28 -242.2876 -0.00012 0.000821
-4.24E-05 0.000442 -26 -320.3307 -0.000219 0.001773 -20.8 -253 -0.000127 0.000885
-4.34E-05 0.000464 -26 -320.3307 -0.000219 0.001773 -21.32 -263.9835 -0.000135 0.000954
-4.45E-05 0.000487 -26 -320.3307 -0.000219 0.001773 -21.84 -275.2383 -0.000143 0.001026
-4.55E-05 0.000511 -26 -320.3307 -0.000219 0.001773 -22.36 -286.7642 -0.000151 0.001103
-4.66E-05 0.000535 -26 -320.3307 -0.000219 0.001773 -22.88 -298.5614 -0.00016 0.001184
-4.77E-05 0.000559 -26 -320.3307 -0.000219 0.001773 -23.4 -310.6297 -0.000169 0.001269
-4.87E-05 0.000584 -26 -320.3307 -0.000219 0.001773 -23.92 -322.9693 -0.000178 0.00136
-5E-05 0.00061 -26 -320.3307 -0.000219 0.001773 -24.44 -335.58 -0.000188 0.001455
-5.08E-05 0.000636 -26 -320.3307 -0.000219 0.001773 -24.96 -348.4619 -0.000198 0.001556
-5.19E-05 0.000663 -26 -320.3307 -0.000219 0.001773 -25.48 -361.6151 -0.000208 0.001661
-5.3E-05 0.00069 -26 -320.3307 -0.000219 0.001773 -26 -375.0394 -0.000219 0.001773
0 0 -26 -320.3307 -0.000219 0.001773 0 0 0 0
0 0 -26 -320.3307 -0.000219 0.001773 0 0 0 0
0 0 -26 -320.3307 -0.000219 0.001773 0 0 0 0
0 0 -26 -320.3307 -0.000219 0.001773 0 0 0 0
0 0 -26 -320.3307 -0.000219 0.001773 0 0 0 0
0 0 -26 -320.3307 -0.000219 0.001773 0 0 0 0
0 0 -26 -320.3307 -0.000219 0.001773 0 0 0 0
0 0 -26 -320.3307 -0.000219 0.001773 0 0 0 0
0 0 -26 -320.3307 -0.000219 0.001773 0 0 0 0
0 0 -26 -320.3307 -0.000219 0.001773 0 0 0 0
-2E-15 1.02E-24 -26 -320.3307 -0.000219 0.001773 -1E-09 -36.04091 -2E-15 1.02E-24
-2E-15 1.02E-24 -26 -320.3307 -0.000219 0.001773 -1E-09 -36.04091 -2E-15 1.02E-24
-2E-15 1.02E-24 -26 -320.3307 -0.000219 0.001773 -1E-09 -36.04091 -2E-15 1.02E-24
-2E-15 1.02E-24 -26 -320.3307 -0.000219 0.001773 -1E-09 -36.04091 -2E-15 1.02E-24
0 0 -26 -320.3307 -0.000219 0.001773 0 -36.04091 0 0
-5.3E-05 0.00069 -26 -320.3307 -0.000219 0.001773 -26 -375.0394 -0.000219 0.001773
-2.5E-05 0.000154 -26 -320.3307 -0.000219 0.001773 -12.2841 -111.7134 -4.25E-05 0.000208
-2.54E-05 0.000159 -26 -320.3307 -0.000219 0.001773 -12.49083 -114.2818 -4.38E-05 0.000217
-2.5E-05 0.000154 -26 -320.3307 -0.000219 0.001773 -12.2841 -111.7134 -4.25E-05 0.000208
-2.54E-05 0.000159 -26 -320.3307 -0.000219 0.001773 -12.49083 -114.2818 -4.38E-05 0.000217
0 0 0 -92.97473 -2.74E-05 0.000205 0 -38.26601 0 0
-5.48E-07 8.21E-08 0 -92.97473 -2.74E-05 0.000205 0 -38.26601 -5.48E-07 8.21E-08
-1.1E-06 3.29E-07 0 -92.97473 -2.74E-05 0.000205 0 -38.26601 -1.1E-06 3.29E-07
-1.64E-06 7.39E-07 0 -92.97473 -2.74E-05 0.000205 0 -38.26601 -1.64E-06 7.39E-07
-2.19E-06 1.31E-06 0 -92.97473 -2.74E-05 0.000205 0 -38.26601 -2.19E-06 1.31E-06
-2.74E-06 2.05E-06 0 -92.97473 -2.74E-05 0.000205 0 -38.26601 -2.74E-06 2.05E-06
-3.29E-06 2.96E-06 0 -92.97473 -2.74E-05 0.000205 0 -38.26601 -3.29E-06 2.96E-06
-3.83E-06 4.02E-06 0 -92.97473 -2.74E-05 0.000205 0 -38.26601 -3.83E-06 4.02E-06
-4.38E-06 5.26E-06 0 -92.97473 -2.74E-05 0.000205 0 -38.26601 -4.38E-06 5.26E-06
-4.93E-06 6.65E-06 0 -92.97473 -2.74E-05 0.000205 0 -38.26601 -4.93E-06 6.65E-06
-5.48E-06 8.21E-06 0 -92.97473 -2.74E-05 0.000205 0 -38.26601 -5.48E-06 8.21E-06
-6E-06 9.94E-06 0 -92.97473 -2.74E-05 0.000205 0 -38.26601 -6E-06 9.94E-06
-6.57E-06 1.18E-05 0 -92.97473 -2.74E-05 0.000205 0 -38.26601 -6.57E-06 1.18E-05
-7.12E-06 1.39E-05 0 -92.97473 -2.74E-05 0.000205 0 -38.26601 -7.12E-06 1.39E-05
-7.67E-06 1.61E-05 0 -92.97473 -2.74E-05 0.000205 0 -38.26601 -7.67E-06 1.61E-05
-8.21E-06 1.85E-05 0 -92.97473 -2.74E-05 0.000205 0 -38.26601 -8.21E-06 1.85E-05
-8.76E-06 2.1E-05 0 -92.97473 -2.74E-05 0.000205 0 -38.26601 -8.76E-06 2.1E-05
-9.31E-06 2.37E-05 0 -92.97473 -2.74E-05 0.000205 0 -38.26601 -9.31E-06 2.37E-05
-9.86E-06 2.66E-05 0 -92.97473 -2.74E-05 0.000205 0 -38.26601 -9.86E-06 2.66E-05
-1E-05 2.96E-05 0 -92.97473 -2.74E-05 0.000205 0 -38.26601 -1E-05 2.96E-05
-1.1E-05 3.29E-05 0 -92.97473 -2.74E-05 0.000205 0 -38.26601 -1.1E-05 3.29E-05
-1.15E-05 3.62E-05 0 -92.97473 -2.74E-05 0.000205 0 -38.26601 -1.15E-05 3.62E-05
-1.2E-05 3.97E-05 0 -92.97473 -2.74E-05 0.000205 0 -38.26601 -1.2E-05 3.97E-05
-1.26E-05 4.34E-05 0 -92.97473 -2.74E-05 0.000205 0 -38.26601 -1.26E-05 4.34E-05
-1.31E-05 4.73E-05 0 -92.97473 -2.74E-05 0.000205 0 -38.26601 -1.31E-05 4.73E-05
-1.37E-05 5.13E-05 0 -92.97473 -2.74E-05 0.000205 0 -38.26601 -1.37E-05 5.13E-05
-1.42E-05 5.55E-05 0 -92.97473 -2.74E-05 0.000205 0 -38.26601 -1.42E-05 5.55E-05
-1.48E-05 5.99E-05 0 -92.97473 -2.74E-05 0.000205 0 -38.26601 -1.48E-05 5.99E-05
-1.53E-05 6.44E-05 0 -92.97473 -2.74E-05 0.000205 0 -38.26601 -1.53E-05 6.44E-05
-1.59E-05 6.91E-05 0 -92.97473 -2.74E-05 0.000205 0 -38.26601 -1.59E-05 6.91E-05
-1.64E-05 7.39E-05 0 -92.97473 -2.74E-05 0.000205 0 -38.26601 -1.64E-05 7.39E-05
-1.7E-05 7.89E-05 0 -92.97473 -2.74E-05 0.000205 0 -38.26601 -1.7E-05 7.89E-05
-1.75E-05 8.41E-05 0 -92.97473 -2.74E-05 0.000205 0 -38.26601 -1.75E-05 8.41E-05
-1.81E-05 8.94E-05 0 -92.97473 -2.74E-05 0.000205 0 -38.26601 -1.81E-05 8.94E-05
-1.86E-05 9.49E-05 0 -92.97473 -2.74E-05 0.000205 0 -38.26601 -1.86E-05 9.49E-05
-1.92E-05 0.000101 0 -92.97473 -2.74E-05 0.000205 0 -38.26601 -1.92E-05 0.000101
-2E-05 0.000106 0 -92.97473 -2.74E-05 0.000205 0 -38.26601 -2E-05 0.000106
-2E-05 0.000112 0 -92.97473 -2.74E-05 0.000205 0 -38.26601 -2E-05 0.000112
-2.08E-05 0.000119 0 -92.97473 -2.74E-05 0.000205 0 -38.26601 -2.08E-05 0.000119
-2.14E-05 0.000125 0 -92.97473 -2.74E-05 0.000205 0 -38.26601 -2.14E-05 0.000125
-2.19E-05 0.000131 0 -92.97473 -2.74E-05 0.000205 0 -38.26601 -2.19E-05 0.000131
-2.24E-05 0.000138 0 -92.97473 -2.74E-05 0.000205 0 -38.26601 -2.24E-05 0.000138
-2.3E-05 0.000145 0 -92.97473 -2.74E-05 0.000205 0 -38.26601 -2.3E-05 0.000145
-2.35E-05 0.000152 0 -92.97473 -2.74E-05 0.000205 0 -38.26601 -2.35E-05 0.000152
-2.41E-05 0.000159 0 -92.97473 -2.74E-05 0.000205 0 -38.26601 -2.41E-05 0.000159
-2.46E-05 0.000166 0 -92.97473 -2.74E-05 0.000205 0 -38.26601 -2.46E-05 0.000166
-2.52E-05 0.000174 0 -92.97473 -2.74E-05 0.000205 0 -38.26601 -2.52E-05 0.000174
-2.57E-05 0.000181 0 -92.97473 -2.74E-05 0.000205 0 -38.26601 -2.57E-05 0.000181
-2.63E-05 0.000189 0 -92.97473 -2.74E-05 0.000205 0 -38.26601 -2.63E-05 0.000189
-2.68E-05 0.000197 0 -92.97473 -2.74E-05 0.000205 0 -38.26601 -2.68E-05 0.000197
-2.74E-05 0.000205 0 -92.97473 -2.74E-05 0.000205 0 -38.26601 -2.74E-05 0.000205
0 0 0 -92.97473 -2.74E-05 0.000205 0 0 0 0
0 0 0 -92.97473 -2.74E-05 0.000205 0 0 0 0
0 0 0 -92.97473 -2.74E-05 0.000205 0 0 0 0
0 0 0 -92.97473 -2.74E-05 0.000205 0 0 0 0
0 0 0 -92.97473 -2.74E-05 0.000205 0 0 0 0
0 0 0 -92.97473 -2.74E-05 0.000205 0 0 0 0
0 0 0 -92.97473 -2.74E-05 0.000205 0 0 0 0
0 0 0 -92.97473 -2.74E-05 0.000205 0 0 0 0
0 0 0 -92.97473 -2.74E-05 0.000205 0 0 0 0
0 0 0 -92.97473 -2.74E-05 0.000205 0 0 0 0
-1.83E-15 9.13E-25 0 -92.97473 -2.74E-05 0.000205 0 -38.26601 -1.83E-15 9.13E-25
-1.83E-15 9.13E-25 0 -92.97473 -2.74E-05 0.000205 0 -38.26601 -1.83E-15 9.13E-25
-1.83E-15 9.13E-25 0 -92.97473 -2.74E-05 0.000205 0 -38.26601 -1.83E-15 9.13E-25
-1.83E-15 0 -92.97473 -2.74E-05 0.000205 0 -38.26601 -1.83E-15 0
0 0 -92.97473 -2.74E-05 0.000205 0 -38.26601 0 0
-2.74E-05 0 -92.97473 -2.74E-05 0.000205 0 -38.26601 -2.74E-05 0
0 0 -92.97473 -2.74E-05 0.000205 0 -38.26601 0 0
-3E-06 0 -92.97473 -2.74E-05 0.000205 0 -38.26601 -3E-06 0
0 0 -92.97473 -2.74E-05 0.000205 0 -38.26601 0 0
-3E-06 0 -92.97473 -2.74E-05 0.000205 0 -38.26601 -3E-06 0
Initial Beam Parameters at Left End Member Fixed End Dist. From Left
with Loading Functions Evaluated at x = L End Reacti Moments End of Member
Vo Mo qo Do (kips) (ft-kips) x (ft.) Points:
0 0 0 0 0 0 0 Member #1 FEM(L):
0 0 0 0 0 0 13 Member #1 FEM(R):
13 -56.49975 0 0 13 -56.49975 0 Member #2(Y) FEM(L):
13 -56.49975 0 0 13 -56.49975 26.07681 Member #2(Y) FEM(R):
1 -4.346135 0 0 1 -4.346135 0 Member #2(Y) Axial(L):
1 -4.346135 0 0 1 -4.346135 26.07681 Member #2(Y) Axial(R):
0 0 0 0 0 0 0 Member #2(X) FEM(L):
0 0 0 0 0 0 26.07681 Member #2(X) FEM(R):
0 0 0 0 0 0 0 Member #2(X) Axial(L):
0 0 0 0 0 0 26.07681 Member #2(X) Axial(R):
0 0 0 0 0 0 0 Member #3 FEM(L):
0 0 0 0 0 0 15 Member #3 FEM(R):
Initial Beam Parameters at Left End Shear, Moment, Slope, & Deflection @ x Dist. from
with Loading Functions Evaluated at x = L Vx Mx qx Dx Left End
Vo Mo qo Do (kips) (ft-kips) (deg.) (in.) x (ft.) Index:
-2.948316 0 3.25E-06 0 -2.948316 2.287193 0.026828 0 0 1
-2.948316 0 3.25E-06 0 -2.948316 1.520631 0.027023 0.001467 0.26 2
-2.948316 0 3.25E-06 0 -2.948316 0.754069 0.027139 0.002942 0.52 3
-2.948316 0 3.25E-06 0 -2.948316 -0.012493 0.027177 0.004421 0.78 4
-2.948316 0 3.25E-06 -2.948316 -0.779055 0.027137 0.0059 1.04 5
-2.948316 0 3.25E-06 0 -2.948316 -1.545618 0.027018 0.007375 1.3 6
-2.948316 0 3.25E-06 0 -2.948316 -2.31218 0.02682 0.008841 1.56 7
-2.948316 0 3.25E-06 0 -2.948316 -3.078742 0.026545 0.010294 1.82 8
-2.948316 0 3.25E-06 0 -2.948316 -3.845304 0.02619 0.011731 2.08 9
-2.948316 0 3.25E-06 0 -2.948316 -4.611866 0.025758 0.013145 2.34 10
-2.948316 0 3.25E-06 0 -2.948316 -5.378428 0.025247 0.014534 2.6 11
-2.948316 0 3.25E-06 0 -2.948316 -6.14499 0.024657 0.015893 2.86 12
-2.948316 0 3.25E-06 0 -2.948316 -6.911552 0.023989 0.017218 3.12 13
-2.948316 0 3.25E-06 0 -2.948316 -7.678114 0.023243 0.018505 3.38 14
-2.948316 0 3.25E-06 0 -2.948316 -8.444676 0.022418 0.019748 3.64 15
-2.948316 0 3.25E-06 0 -2.948316 -9.211238 0.021515 0.020945 3.9 16
-2.948316 0 3.25E-06 0 -2.948316 -9.9778 0.020533 0.02209 4.16 17
-2.948316 0 3.25E-06 0 -2.948316 -10.74436 0.019473 0.02318 4.42 18
-2.948316 0 3.25E-06 0 -2.948316 -11.51092 0.018335 0.024209 4.68 19
-2.948316 0 3.25E-06 0 -2.948316 -12.27749 0.017118 0.025175 4.94 20
-2.948316 0 3.25E-06 0 -2.948316 -13.04405 0.015823 0.026072 5.2 21
-2.948316 0 3.25E-06 0 -2.948316 -13.81061 0.014449 0.026897 5.46 22
-2.948316 0 3.25E-06 0 -2.948316 -14.57717 0.012997 0.027644 5.72 23
-2.948316 0 3.25E-06 0 -2.948316 -15.34373 0.011466 0.028311 5.98 24
-2.948316 0 3.25E-06 0 -2.948316 -16.1103 0.009857 0.028892 6.24 25
-2.948316 0 3.25E-06 0 -2.948316 -16.87686 0.00817 0.029383 6.5 26
-2.948316 0 3.25E-06 0 -2.948316 -17.64342 0.006404 0.02978 6.76 27
-2.948316 0 3.25E-06 0 -2.948316 -18.40998 0.004559 0.030079 7.02 28
-2.948316 0 3.25E-06 0 -2.948316 -19.17654 0.002637 0.030275 7.28 29
-2.948316 0 3.25E-06 0 -2.948316 -19.94311 0.000635 0.030365 7.54 30
-2.948316 0 3.25E-06 0 -2.948316 -20.70967 -0.001444 0.030343 7.8 31
-2.948316 0 3.25E-06 0 -2.948316 -21.47623 -0.003602 0.030206 8.06 32
-2.948316 0 3.25E-06 0 -2.948316 -22.24279 -0.005839 0.029949 8.32 33
-2.948316 0 3.25E-06 0 -2.948316 -23.00935 -0.008154 0.029569 8.58 34
-2.948316 0 3.25E-06 0 -2.948316 -23.77592 -0.010547 0.02906 8.84 35
-2.948316 0 3.25E-06 0 -2.948316 -24.54248 -0.013019 0.028419 9.1 36
-2.948316 0 3.25E-06 0 -2.948316 -25.30904 -0.015569 0.027641 9.36 37
-2.948316 0 3.25E-06 0 -2.948316 -26.0756 -0.018197 0.026722 9.62 38
-2.948316 0 3.25E-06 0 -2.948316 -26.84216 -0.020905 0.025657 9.88 39
-2.948316 0 3.25E-06 0 -2.948316 -27.60873 -0.02369 0.024443 10.14 40
-2.948316 0 3.25E-06 0 -2.948316 -28.37529 -0.026554 0.023076 10.4 41
-2.948316 0 3.25E-06 0 -2.948316 -29.14185 -0.029496 0.02155 10.66 42
-2.948316 0 3.25E-06 0 -2.948316 -29.90841 -0.032517 0.019862 10.92 43
-2.948316 0 3.25E-06 0 -2.948316 -30.67497 -0.035616 0.018007 11.18 44
-2.948316 0 3.25E-06 0 -2.948316 -31.44154 -0.038794 0.015982 11.44 45
-2.948316 0 3.25E-06 0 -2.948316 -32.2081 -0.04205 0.013781 11.7 46
-2.948316 0 3.25E-06 0 -2.948316 -32.97466 -0.045384 0.011401 11.96 47
-2.948316 0 3.25E-06 0 -2.948316 -33.74122 -0.048797 0.008837 12.22 48
-2.948316 0 3.25E-06 0 -2.948316 -34.50779 -0.052288 0.006085 12.48 49
-2.948316 0 3.25E-06 0 -2.948316 -35.27435 -0.055858 0.003141 12.74 50
-2.948316 0 3.25E-06 0 -2.948316 -36.04091 -0.059506 -1.25E-12 13 51
-2.948316 0 3.25E-06 0 -2.948316 2.95E-09 0.026828 -5.62E-12 -1E-09 52
-2.948316 0 3.25E-06 0 -2.948316 2.95E-09 0.026828 -5.62E-12 -1E-09 53
-2.948316 0 3.25E-06 0 -2.948316 2.95E-09 0.026828 -5.62E-12 -1E-09 54
-2.948316 0 3.25E-06 0 -2.948316 2.95E-09 0.026828 -5.62E-12 -1E-09 55
-2.948316 0 3.25E-06 0 -2.948316 2.95E-09 0.026828 -5.62E-12 -1E-09 56
-2.948316 0 3.25E-06 0 -2.948316 2.95E-09 0.026828 -5.62E-12 -1E-09 57
-2.948316 0 3.25E-06 0 -2.948316 2.95E-09 0.026828 -5.62E-12 -1E-09 58
-2.948316 0 3.25E-06 0 -2.948316 2.95E-09 0.026828 -5.62E-12 -1E-09 59
-2.948316 0 3.25E-06 0 -2.948316 2.95E-09 0.026828 -5.62E-12 -1E-09 60
-2.948316 0 3.25E-06 0 -2.948316 2.95E-09 0.026828 -5.62E-12 -1E-09 61
-2.948316 0 3.25E-06 0 -2.948316 2.287193 0.026828 5.62E-12 1E-09 62
-2.948316 0 3.25E-06 0 -2.948316 2.287193 0.026828 5.62E-12 1E-09 63
-2.948316 0 3.25E-06 0 -2.948316 2.287193 0.026828 5.62E-12 1E-09 64
-2.948316 0 3.25E-06 0 -2.948316 2.287193 0.026828 5.62E-12 1E-09 65
-2.948316 0 3.25E-06 0 -2.948316 2.287193 0.026828 0 0 66
-2.948316 0 3.25E-06 0 -2.948316 -36.04091 -0.071207 1.25E-11 13 67
-2.948316 0 3.25E-06 0 -2.948316 2.287193 0.026828 0 0 68
-2.948316 0 3.25E-06 0 -2.948316 -20.17308 -0.006837 0.03037 7.618 69
-2.948316 0 3.25E-06 0 -2.948316 2.287193 0.026828 0 0 70
-2.948316 0 3.25E-06 0 -2.948316 -20.17308 -0.006837 0.03037 7.618 71
End Reactions (kips, ft-kips):

RL = -2.948316 RR = 2.948316
ML = 2.287193 MR = -36.04091
Max. Moments and Locations:
+M(max) = 2.287193 x = 0
-M(max) = -36.04091 x = 13
Max. Deflections and Locations:
-D(max) = -5.62E-12 x = 0
+D(max) = 0.03037 x = 7.618
M(max) = 36.04091 D(max) = 0.0304 = L/5132
1. Find where shear and slope pass through zero (Method #1):
Vx=0: x for Vx=0: Index
-2.9483 kips 13 51
-2.9483 kips 13 52
Interpolating for Vx=0:
0 ft.
qx=0: x for qx=0: Index

0.0006 deg. 7.54 30
-0.0014 deg. 7.8 31
Interpolating for qx=0:
7.618 ft.
Vx(n)*Vx(n+1) qx(n)*qx(n (where: n=Index)
8.692564 0.000725
8.692564 0.000733
8.692564 0.000738
8.692564 0.000737
8.692564 0.000733
8.692564 0.000725
8.692564 0.000712
8.692564 0.000695
8.692564 0.000675
8.692564 0.00065
8.692564 0.000623
8.692564 0.000592
8.692564 0.000558
8.692564 0.000521
8.692564 0.000482
8.692564 0.000442
8.692564 0.0004
8.692564 0.000357
8.692564 0.000314
8.692564 0.000271
8.692564 0.000229
8.692564 0.000188
8.692564 0.000149
8.692564 0.000113
8.692564 8.05E-05
8.692564 5.23E-05
8.692564 2.92E-05
8.692564 1.2E-05
8.692564 1.68E-06
8.692564 -9.18E-07
8.692564 5.2E-06
8.692564 2.1E-05
8.692564 4.76E-05
8.692564 8.6E-05
8.692564 0.000137
8.692564 0.000203
8.692564 0.000283
8.692564 0.00038
8.692564 0.000495
8.692564 0.000629
8.692564 0.000783
8.692564 0.000959
8.692564 0.001158
8.692564 0.001382
8.692564 0.001631
8.692564 0.001908
8.692564 0.002215
8.692564 0.002552
8.692564 0.002921
8.692564 0.003324
-2.9483 kips 12.74 50
-2.9483 kips 13 51
0 ft.

0.0006 deg. 7.54 30
-0.0014 deg. 7.8 31
7.618 ft.
12.28412 0 -1E-05 0 12.28412 -36.04091 -0.086289 0 0 1
12.28412 0 -1E-05 0 11.76412 -29.76989 -0.094261 -0.009875 0.521536 2
12.28412 0 -1E-05 0 11.24412 -23.77008 -0.100746 -0.020538 1.043072 3
12.28412 0 -1E-05 0 10.72412 -18.04146 -0.105809 -0.031832 1.564609 4
12.28412 0 -1E-05 0 10.20412 -12.58404 -0.109516 -0.043604 2.086145 5
12.28412 0 -1E-05 0 9.684122 -7.397824 -0.111933 -0.05571 2.607681 6
12.28412 0 -1E-05 0 9.164122 -2.482803 -0.113126 -0.068012 3.129217 7
12.28412 0 -1E-05 0 8.644122 2.161019 -0.113159 -0.080381 3.650753 8
12.28412 0 -1E-05 0 8.124122 6.533642 -0.1121 -0.092693 4.17229 9
12.28412 0 -1E-05 0 7.604122 10.63507 -0.110013 -0.104833 4.693826 10
12.28412 0 -1E-05 0 7.084122 14.46529 -0.106965 -0.116692 5.215362 11
12.28412 0 -1E-05 0 6.564122 18.02432 -0.103021 -0.128168 5.736898 12
12.28412 0 -1E-05 0 6.044122 21.31215 -0.098247 -0.139168 6.258434 13
12.28412 0 -1E-05 0 5.524122 24.32877 -0.092708 -0.149603 6.779971 14
12.28412 0 -1E-05 0 5.004122 27.0742 -0.086472 -0.159395 7.301507 15
12.28412 0 -1E-05 0 4.484122 29.54844 -0.079602 -0.061094 7.823043 16
12.28412 0 -1E-05 0 3.964122 31.75147 -0.072165 -0.176765 8.344579 17
12.28412 0 -1E-05 0 3.444122 33.6833 -0.064228 -0.184218 8.866115 18
12.28412 0 -1E-05 0 2.924122 35.34394 -0.055854 -0.19078 9.387651 19
12.28412 0 -1E-05 0 2.404122 36.73337 -0.047111 -0.196406 9.909188 20
12.28412 0 -1E-05 0 1.884122 37.85161 -0.038064 -0.201061 10.43072 21
12.28412 0 -1E-05 0 1.364122 38.69865 -0.028779 -0.204713 10.95226 22
12.28412 0 -1E-05 0 0.844122 39.27449 -0.019321 -0.207342 11.4738 23
12.28412 0 -1E-05 0 0.324122 39.57913 -0.009757 -0.20893 11.99533 24
12.28412 0 -1E-05 0 -0.195878 39.61257 -0.000152 -0.209472 12.51687 25
12.28412 0 -1E-05 0 -0.715878 39.37481 0.009429 -0.208964 13.0384 26
12.28412 0 -1E-05 0 -1.235878 38.86586 0.018919 -0.207415 13.55994 27
12.28412 0 -1E-05 0 -1.755878 38.0857 0.028253 -0.204837 14.08148 28
12.28412 0 -1E-05 0 -2.275878 37.03435 0.037365 -0.201251 14.60301 29
12.28412 0 -1E-05 0 -2.795878 35.7118 0.046189 -0.196685 15.12455 30
12.28412 0 -1E-05 0 -3.315878 34.11805 0.05466 -0.191173 15.64609 31
12.28412 0 -1E-05 0 -3.835878 32.2531 0.062711 -0.184759 16.16762 32
12.28412 0 -1E-05 0 -4.355878 30.11695 0.070277 -0.177491 16.68916 33
12.28412 0 -1E-05 0 -4.875878 27.7096 0.077293 -0.169426 17.21069 34
12.28412 0 -1E-05 0 -5.395878 25.03105 0.083692 -0.160628 17.73223 35
12.28412 0 -1E-05 0 -5.915878 22.08131 0.089408 -0.151168 18.25377 36
12.28412 0 -1E-05 0 -6.435878 18.86037 0.094377 -0.141123 18.7753 37
12.28412 0 -1E-05 0 -6.955878 15.36822 0.098532 -0.13058 19.29684 38
12.28412 0 -1E-05 0 -7.475878 11.60488 0.101807 -0.11963 19.81838 39
12.28412 0 -1E-05 0 -7.995878 7.570341 0.104137 -0.108373 20.33991 40
12.28412 0 -1E-05 0 -8.515878 3.264601 0.105456 -0.096917 20.86145 41
12.28412 0 -1E-05 0 -9.035878 -1.312337 0.105698 -0.085375 21.38298 42
12.28412 0 -1E-05 0 -9.555878 -6.160473 0.104798 -0.073868 21.90452 43
12.28412 0 -1E-05 0 -10.07588 -11.27981 0.102689 -0.062524 22.42606 44
12.28412 0 -1E-05 0 -10.59588 -16.67034 0.099306 -0.051481 22.94759 45
12.28412 0 -1E-05 0 -11.11588 -22.33208 0.094584 -0.040879 23.46913 46
12.28412 0 -1E-05 0 -11.63588 -28.26501 0.088456 -0.030869 23.99066 47
12.28412 0 -1E-05 0 -12.15588 -34.46914 0.080856 -0.021608 24.5122 48
12.28412 0 -1E-05 0 -12.67588 -40.94447 0.07172 -0.013261 25.03374 49
12.28412 0 -1E-05 0 -13.19588 -47.691 0.06098 -0.005999 25.55527 50
12.28412 0 -1E-05 0 -13.71588 -54.70873 0.048572 1.02E-12 26.07681 51
12.28412 0 -1E-05 0 12.28412 -1.23E-08 -0.086289 1.81E-11 -1E-09 52
12.28412 0 -1E-05 0 12.28412 -1.23E-08 -0.086289 1.81E-11 -1E-09 53
12.28412 0 -1E-05 0 12.28412 -1.23E-08 -0.086289 1.81E-11 -1E-09 54
12.28412 0 -1E-05 0 12.28412 -1.23E-08 -0.086289 1.81E-11 -1E-09 55
12.28412 0 -1E-05 0 12.28412 -1.23E-08 -0.086289 1.81E-11 -1E-09 56
12.28412 0 -1E-05 0 12.28412 -1.23E-08 -0.086289 1.81E-11 -1E-09 57
12.28412 0 -1E-05 0 12.28412 -1.23E-08 -0.086289 1.81E-11 -1E-09 58
12.28412 0 -1E-05 0 12.28412 -1.23E-08 -0.086289 1.81E-11 -1E-09 59
12.28412 0 -1E-05 0 12.28412 -1.23E-08 -0.086289 1.81E-11 -1E-09 60
12.28412 0 -1E-05 0 12.28412 -1.23E-08 -0.086289 1.81E-11 -1E-09 61
12.28412 0 -1E-05 0 12.28412 -36.04091 -0.086289 -1.81E-11 1E-09 62
12.28412 0 -1E-05 0 12.28412 -36.04091 -0.086289 -1.81E-11 1E-09 63
12.28412 0 -1E-05 0 12.28412 -36.04091 -0.086289 -1.81E-11 1E-09 64
12.28412 0 -1E-05 0 12.28412 -36.04091 -0.086289 -1.81E-11 1E-09 65
12.28412 0 -1E-05 0 12.28412 -36.04091 -0.086289 0 0 66
12.28412 0 -1E-05 0 -13.71588 -54.70873 0.048572 -1E-11 26.07681 67
12.28412 0 -1E-05 0 2.19E-05 39.63181 -0.003771 -0.209391 12.32039 68
12.28412 0 -1E-05 0 -0.206711 39.61038 4.85E-05 -0.209472 12.52773 69
12.28412 0 -1E-05 0 2.19E-05 39.63181 -0.003771 -0.209391 12.32039 70
12.28412 0 -1E-05 0 -0.206711 39.61038 4.85E-05 -0.209472 12.52773 71

RL = 12.28412 RR = 13.71588
ML = -36.04091 MR = -54.70873
+M(max) = 39.63181 x = 12.32039
-M(max) = -54.70873 x = 26.07681
-D(max) = -0.209472 x = 12.52773
+D(max) = 1.81E-11 x = 0
M(max) = 54.70873 D(max) = 0.2095 = L/1494
0.3241 kips 11.99533 24
-0.1959 kips 12.51687 25
12.32039 ft.

-0.0002 deg. 12.51687 25
0.0094 deg. 13.0384 26
12.52773 ft.
144.5119 0.008134
132.2772 0.009496
120.5833 0.01066
109.4302 0.011588
98.81796 0.012259
88.74647 0.012663
79.21579 0.012801
70.2259 0.012685
61.77681 0.012332
53.86853 0.011767
46.50104 0.01102
39.67435 0.010121
33.38847 0.009108
27.64338 0.008017
22.43909 0.006883
17.77561 0.005745
13.65292 0.004635
10.07103 0.003587
7.029946 0.002631
4.529659 0.001793
2.570172 0.001095
1.151485 0.000556
0.273598 0.000189
-0.063488 1.48E-06
0.140225 -1.43E-06
0.884738 0.000178
2.170051 0.000535
3.996164 0.001056
6.363078 0.001726
9.270791 0.002525
12.7193 0.003428
16.70862 0.004407
21.23873 0.005432
26.30964 0.006469
31.92136 0.007483
38.07387 0.008438
44.76718 0.009299
52.0013 0.010031
59.77621 0.010602
68.09192 0.010982
76.94844 0.011146
86.34575 0.011077
96.28386 0.010762
106.7628 0.010198
117.7825 0.009393
129.343 0.008366
141.4443 0.007152
154.0864 0.005799
167.2693 0.004373
180.9931 0.002962

0.3241 kips 11.99533 24
-0.1959 kips 12.51687 25
12.32039 ft.

-0.0002 deg. 12.51687 25
0.0094 deg. 13.0384 26
12.52773 ft.
6.198316 0 2.6E-06 0 6.198316 -38.26601 0.021469 0 0 1
6.198316 0 2.6E-06 0 6.198316 -36.40651 0.017061 0.001209 0.3 2
6.198316 0 2.6E-06 0 6.198316 -34.54702 0.012873 0.002149 0.6 3
6.198316 0 2.6E-06 0 6.198316 -32.68752 0.008905 0.002832 0.9 4
6.198316 0 2.6E-06 0 6.198316 -30.82803 0.005156 0.003272 1.2 5
6.198316 0 2.6E-06 0 6.198316 -28.96853 0.001626 0.003484 1.5 6
6.198316 0 2.6E-06 0 6.198316 -27.10904 -0.001684 0.003481 1.8 7
6.198316 0 2.6E-06 0 6.198316 -25.24954 -0.004774 0.003277 2.1 8
6.198316 0 2.6E-06 0 6.198316 -23.39005 -0.007645 0.002886 2.4 9
6.198316 0 2.6E-06 0 6.198316 -21.53056 -0.010297 0.002321 2.7 10
6.198316 0 2.6E-06 0 6.198316 -19.67106 -0.012729 0.001596 3 11
6.198316 0 2.6E-06 0 6.198316 -17.81157 -0.014941 0.000726 3.3 12
6.198316 0 2.6E-06 0 6.198316 -15.95207 -0.016934 -0.000277 3.6 13
6.198316 0 2.6E-06 0 6.198316 -14.09258 -0.018708 -0.001397 3.9 14
6.198316 0 2.6E-06 0 6.198316 -12.23308 -0.020261 -0.002623 4.2 15
6.198316 0 2.6E-06 0 6.198316 -10.37359 -0.021596 -0.003939 4.5 16
6.198316 0 2.6E-06 0 6.198316 -8.514093 -0.022711 -0.005332 4.8 17
6.198316 0 2.6E-06 0 6.198316 -6.654598 -0.023606 -0.006788 5.1 18
6.198316 0 2.6E-06 0 6.198316 -4.795103 -0.024282 -0.008294 5.4 19
6.198316 0 2.6E-06 0 6.198316 -2.935609 -0.024738 -0.009835 5.7 20
6.198316 0 2.6E-06 0 6.198316 -1.076114 -0.024975 -0.011398 6 21
6.198316 0 2.6E-06 0 6.198316 0.783381 -0.024992 -0.012969 6.3 22
6.198316 0 2.6E-06 0 6.198316 2.642875 -0.02479 -0.014534 6.6 23
6.198316 0 2.6E-06 0 6.198316 4.50237 -0.024368 -0.016079 6.9 24
6.198316 0 2.6E-06 0 6.198316 6.361865 -0.023727 -0.017592 7.2 25
6.198316 0 2.6E-06 0 6.198316 8.221359 -0.022866 -0.019057 7.5 26
6.198316 0 2.6E-06 0 6.198316 10.08085 -0.021786 -0.02046 7.8 27
6.198316 0 2.6E-06 0 6.198316 11.94035 -0.020486 -0.02179 8.1 28
6.198316 0 2.6E-06 0 6.198316 13.79984 -0.018967 -0.02303 8.4 29
6.198316 0 2.6E-06 0 6.198316 15.65934 -0.017228 -0.024168 8.7 30
6.198316 0 2.6E-06 0 6.198316 17.51883 -0.01527 -0.025191 9 31
6.198316 0 2.6E-06 0 6.198316 19.37833 -0.013092 -0.026083 9.3 32
6.198316 0 2.6E-06 0 6.198316 21.23782 -0.010694 -0.026831 9.6 33
6.198316 0 2.6E-06 0 6.198316 23.09732 -0.008077 -0.027422 9.9 34
6.198316 0 2.6E-06 0 6.198316 24.95681 -0.005241 -0.027842 10.2 35
6.198316 0 2.6E-06 0 6.198316 26.81631 -0.002185 -0.028076 10.5 36
6.198316 0 2.6E-06 0 6.198316 28.6758 0.00109 -0.028112 10.8 37
6.198316 0 2.6E-06 0 6.198316 30.5353 0.004585 -0.027934 11.1 38
6.198316 0 2.6E-06 0 6.198316 32.39479 0.0083 -0.027531 11.4 39
6.198316 0 2.6E-06 0 6.198316 34.25428 0.012234 -0.026887 11.7 40
6.198316 0 2.6E-06 0 6.198316 36.11378 0.016387 -0.025989 12 41
6.198316 0 2.6E-06 0 6.198316 37.97327 0.02076 -0.024823 12.3 42
6.198316 0 2.6E-06 0 6.198316 39.83277 0.025353 -0.023375 12.6 43
6.198316 0 2.6E-06 0 6.198316 41.69226 0.030165 -0.021632 12.9 44
6.198316 0 2.6E-06 0 6.198316 43.55176 0.035197 -0.01958 13.2 45
6.198316 0 2.6E-06 0 6.198316 45.41125 0.040448 -0.017205 13.5 46
6.198316 0 2.6E-06 0 6.198316 47.27075 0.045918 -0.014493 13.8 47
6.198316 0 2.6E-06 0 6.198316 49.13024 0.051608 -0.01143 14.1 48
6.198316 0 2.6E-06 0 6.198316 50.98974 0.057518 -0.008003 14.4 49
6.198316 0 2.6E-06 0 6.198316 52.84923 0.063647 -0.004197 14.7 50
6.198316 0 2.6E-06 0 6.198316 54.70873 0.069996 1.47E-12 15 51
6.198316 0 2.6E-06 0 6.198316 -6.2E-09 0.021469 -4.5E-12 -1E-09 52
6.198316 0 2.6E-06 0 6.198316 -6.2E-09 0.021469 -4.5E-12 -1E-09 53
6.198316 0 2.6E-06 0 6.198316 -6.2E-09 0.021469 -4.5E-12 -1E-09 54
6.198316 0 2.6E-06 0 6.198316 -6.2E-09 0.021469 -4.5E-12 -1E-09 55
6.198316 0 2.6E-06 0 6.198316 -6.2E-09 0.021469 -4.5E-12 -1E-09 56
6.198316 0 2.6E-06 0 6.198316 -6.2E-09 0.021469 -4.5E-12 -1E-09 57
6.198316 0 2.6E-06 0 6.198316 -6.2E-09 0.021469 -4.5E-12 -1E-09 58
6.198316 0 2.6E-06 0 6.198316 -6.2E-09 0.021469 -4.5E-12 -1E-09 59
6.198316 0 2.6E-06 0 6.198316 -6.2E-09 0.021469 -4.5E-12 -1E-09 60
6.198316 0 2.6E-06 0 6.198316 -6.2E-09 0.021469 -4.5E-12 -1E-09 61
6.198316 0 2.6E-06 0 6.198316 -38.26601 0.021469 4.5E-12 1E-09 62
6.198316 0 2.6E-06 0 6.198316 -38.26601 0.021469 4.5E-12 1E-09 63
6.198316 0 2.6E-06 0 6.198316 -38.26601 0.021469 4.5E-12 1E-09 64
6.198316 0 2.6E-06 0 6.198316 -38.26601 0.021469 4.5E-12 1E-09 65
6.198316 0 2.6E-06 0 6.198316 -38.26601 0.021469 0 0 66
6.198316 0 2.6E-06 0 6.198316 54.70873 0.069996 0.354791 15 67
6.198316 0 2.6E-06 0 6.198316 -38.26601 0.021469 0 0 68
6.198316 0 2.6E-06 0 6.198316 -28.06696 -6.19E-06 0.007778 1.645455 69
6.198316 0 2.6E-06 0 6.198316 -38.26601 0.021469 0 0 70
6.198316 0 2.6E-06 0 6.198316 -28.06696 -6.19E-06 0.007778 1.645455 71

RL = 6.198316 RR = -6.198316
ML = -38.26601 MR = 54.70873
+M(max) = 54.70873 x = 15
-M(max) = -38.26601 x = 0
-D(max) = -0.028112 x = 10.8
+D(max) = 0.354791 x = 15
M(max) = 54.70873 D(max) = 0.3548 = L/507
6.1983 kips 15 51
6.1983 kips 15 52
0 ft.

0.0016 deg. 1.5 6
-0.0017 deg. 1.8 7
1.645455 ft.
38.41912 0.000366
38.41912 0.00022
38.41912 0.000115
38.41912 4.59E-05
38.41912 8.38E-06
38.41912 -2.74E-06
38.41912 8.04E-06
38.41912 3.65E-05
38.41912 7.87E-05
38.41912 0.000131
38.41912 0.00019
38.41912 0.000253
38.41912 0.000317
38.41912 0.000379
38.41912 0.000438
38.41912 0.00049
38.41912 0.000536
38.41912 0.000573
38.41912 0.000601
38.41912 0.000618
38.41912 0.000624
38.41912 0.00062
38.41912 0.000604
38.41912 0.000578
38.41912 0.000543
38.41912 0.000498
38.41912 0.000446
38.41912 0.000389
38.41912 0.000327
38.41912 0.000263
38.41912 0.0002
38.41912 0.00014
38.41912 8.64E-05
38.41912 4.23E-05
38.41912 1.15E-05
38.41912 -2.38E-06
38.41912 5E-06
38.41912 3.81E-05
38.41912 0.000102
38.41912 0.0002
38.41912 0.00034
38.41912 0.000526
38.41912 0.000765
38.41912 0.001062
38.41912 0.001424
38.41912 0.001857
38.41912 0.00237
38.41912 0.002968
38.41912 0.003661
38.41912 0.004455

6.1983 kips 14.7 50
6.1983 kips 15 51
0 ft.

0.0016 deg. 1.5 6
-0.0017 deg. 1.8 7
1.645455 ft.
AISC ShapA Ix Iy
W44x335 98.3 31100 1200
W44x290 85.8 27100 1050
W44x285 83.8 24600 490
W44x262 77.2 24200 927
W44x248 72.8 21400 435
W44x230 67.7 20800 796
W44x224 65.8 19200 391
W44x198 58 16700 336
W40x655 192 56500 2860
W40x593 174 50400 2520
W40x531 156 44300 2200
W40x503 148 41700 2050
W40x480 140 39500 1940
W40x466 137 36300 1010
W40x436 128 35400 1720
W40x431 127 34800 1690
W40x397 117 32000 1540
W40x392 115 29900 803
W40x372 109 29600 1420
W40x362 107 28900 1380
W40x331 97.5 24700 644
W40x328 96.4 26800 1660
W40x327 96 24500 640
W40x324 95.3 25600 1220
W40x321 94.1 25100 1190
W40x298 87.6 24200 1490
W40x297 87.4 23200 1090
W40x278 81.8 20500 521
W40x277 81.4 21900 1040
W40x268 78.8 21500 1320
W40x264 77.6 19400 493
W40x249 73.3 19600 926
W40x244 71.7 19200 1170
W40x235 69 17400 444
W40x221 64.8 16600 988
W40x215 63.4 16700 796
W40x211 62 15500 390
W40x199 58.5 14900 695
W40x192 56.5 13500 770
W40x183 53.8 13300 336
W40x174 51.1 12200 541
W40x167 49.2 11600 283
W40x149 43.8 9800 229
W36x848 249 67400 4550
W36x798 235 62600 4200
W36x720 211 55300 3680
W36x650 191 48900 3230
W36x588 172 43500 2850
W36x527 155 38300 2490
W36x485 142 34700 2250
W36x439 129 31000 1990
W36x393 116 27500 1750
W36x359 105 24800 1570
W36x328 96.4 22500 1420
W36x300 88.3 20300 1300
W36x280 82.4 18900 1200
W36x260 76.5 17300 1090
W36x256 75.4 16800 528
W36x245 72.1 16100 1010
W36x232 68.1 15000 468
W36x230 67.6 15000 940
W36x210 61.8 13200 411
W36x194 57 12100 375
W36x182 53.6 11300 347
W36x170 50.1 10500 320
W36x160 47 9760 295
W36x150 44.2 9040 270
W36x135 39.7 7800 225
W33x619 181 41800 2870
W33x567 166 37700 2580
W33x515 151 33700 2290
W33x468 137 30100 2030
W33x424 124 26900 1800
W33x387 114 24300 1620
W33x354 104 22000 1460
W33x318 93.6 19500 1290
W33x291 85.7 17700 1160
W33x263 77.5 15900 1040
W33x241 71 14200 933
W33x221 65.2 12900 840
W33x201 59.2 11600 749
W33x169 49.5 9290 310
W33x152 44.8 8160 273
W33x141 41.6 7450 246
W33x130 38.3 6710 218
W33x118 34.7 5900 187
W30x581 170 33000 2530
W30x526 154 29300 2230
W30x477 140 26100 1970
W30x433 127 23200 1750
W30x391 115 20700 1550
W30x357 105 18700 1390
W30x326 95.8 16800 1240
W30x292 85.9 14900 1100
W30x261 76.9 13100 959
W30x235 69.2 11700 855
W30x211 62.2 10300 757
W30x191 56.3 9200 673
W30x173 51 8230 598
W30x148 43.5 6680 227
W30x132 38.9 5770 196
W30x124 36.5 5360 181
W30x116 34.2 4930 164
W30x108 31.7 4470 146
W30x99 29.1 3990 128
W30x90 26.4 3610 115
W27x539 159 25600 2110
W27x494 145 22900 1890
W27x448 131 20400 1670
W27x407 119 18100 1480
W27x368 108 16200 1310
W27x336 98.9 14600 1180
W27x307 90.4 13100 1050
W27x281 82.9 11900 953
W27x258 76 10800 859
W27x235 69.4 9700 769
W27x217 64 8910 704
W27x194 57.2 7860 619
W27x178 52.5 7020 555
W27x161 47.6 6310 497
W27x146 43.1 5660 443
W27x129 37.8 4760 184
W27x114 33.5 4080 159
W27x102 30 3620 139
W27x94 27.7 3270 124
W27x84 24.8 2850 106
W24x492 144 19100 1670
W24x450 132 17100 1490
W24x408 119 15100 1320
W24x370 109 13400 1160
W24x335 98.4 11900 1030
W24x306 89.8 10700 919
W24x279 82 9600 823
W24x250 73.5 8490 724
W24x229 67.2 7650 651
W24x207 60.7 6820 578
W24x192 56.3 6260 530
W24x176 51.7 5680 479
W24x162 47.7 5170 443
W24x146 43 4580 391
W24x131 38.5 4020 340
W24x117 34.4 3540 297
W24x104 30.6 3100 259
W24x103 30.3 3000 119
W24x94 27.7 2700 109
W24x84 24.7 2370 94.4
W24x76 22.4 2100 82.5
W24x68 20.1 1830 70.4
W24x62 18.3 1560 34.5
W24x55 16.3 1360 29.1
W21x402 118 12200 1270
W21x364 107 10800 1120
W21x333 97.9 9610 994
W21x300 88.2 8480 873
W21x275 80.8 7620 785
W21x248 72.8 6760 694
W21x223 65.4 5950 609
W21x201 59.2 5310 542
W21x182 53.6 4730 483
W21x166 48.8 4280 435
W21x147 43.2 3630 376
W21x132 38.8 3220 333
W21x122 35.9 2960 305
W21x111 32.7 2670 274
W21x101 29.8 2420 248
W21x93 27.3 2070 92.9
W21x83 24.3 1830 81.4
W21x73 21.5 1600 70.6
W21x68 20 1480 64.7
W21x62 18.3 1330 57.5
W21x57 16.7 1170 30.6
W21x55 16.2 1140 48.4
W21x50 14.7 984 24.9
W21x48 14.1 959 38.7
W21x44 13 843 20.7
W18x311 91.5 6960 795
W18x283 83.2 6160 704
W18x258 75.9 5510 628
W18x234 68.8 4900 558
W18x211 62.1 4330 493
W18x192 56.4 3870 440
W18x175 51.3 3450 391
W18x158 46.3 3060 347
W18x143 42.1 2750 311
W18x130 38.2 2460 278
W18x119 35.1 2190 253
W18x106 31.1 1910 220
W18x97 28.5 1750 201
W18x86 25.3 1530 175
W18x76 22.3 1330 152
W18x71 20.8 1170 60.3
W18x65 19.1 1070 54.8
W18x60 17.6 984 50.1
W18x55 16.2 890 44.9
W18x50 14.7 800 40.1
W18x46 13.5 712 22.5
W18x40 11.8 612 19.1
W18x35 10.3 510 15.3
W16x100 29.7 1500 186
W16x89 26.4 1310 163
W16x77 22.9 1120 138
W16x67 20 970 119
W16x57 16.8 758 43.1
W16x50 14.7 659 37.2
W16x45 13.3 586 32.8
W16x40 11.8 518 28.9
W16x36 10.6 448 24.5
W16x31 9.13 375 12.4
W16x26 7.68 301 9.59
W14x808 237 16000 5510
W14x730 215 14300 4720
W14x665 196 12400 4170
W14x605 178 10800 3680
W14x550 162 9430 3250
W14x500 147 8210 2880
W14x455 134 7190 2560
W14x426 125 6600 2360
W14x398 117 6000 2170
W14x370 109 5440 1990
W14x342 101 4900 1810
W14x311 91.4 4330 1610
W14x283 83.3 3840 1440
W14x257 75.6 3400 1290
W14x233 68.5 3010 1150
W14x211 62 2660 1030
W14x193 56.8 2400 931
W14x176 51.8 2140 838
W14x159 46.7 1900 748
W14x145 42.7 1710 677
W14x132 38.8 1530 548
W14x120 35.3 1380 495
W14x109 32 1240 447
W14x99 29.1 1110 402
W14x90 26.5 999 362
W14x82 24 881 148
W14x74 21.8 795 134
W14x68 20 722 121
W14x61 17.9 640 107
W14x53 15.6 541 57.7
W14x48 14.1 484 51.4
W14x43 12.6 428 45.2
W14x38 11.2 385 26.7
W14x34 10 340 23.3
W14x30 8.85 291 19.6
W14x26 7.69 245 8.91
W14x22 6.49 199 7
W12x336 98.8 4060 1190
W12x305 89.6 3550 1050
W12x279 81.9 3110 937
W12x252 74 2720 828
W12x230 67.7 2420 742
W12x210 61.8 2140 664
W12x190 55.8 1890 589
W12x170 50 1650 517
W12x152 44.7 1430 454
W12x136 39.9 1240 398
W12x120 35.3 1070 345
W12x106 31.2 933 301
W12x96 28.2 833 270
W12x87 25.6 740 241
W12x79 23.2 662 216
W12x72 21.1 597 195
W12x65 19.1 533 174
W12x58 17 475 107
W12x53 15.6 425 95.8
W12x50 14.6 391 56.3
W12x45 13.1 348 50
W12x40 11.7 307 44.1
W12x35 10.3 285 24.5
W12x30 8.79 238 20.3
W12x26 7.65 204 17.3
W12x22 6.48 156 4.66
W12x19 5.57 130 3.76
W12x16 4.71 103 2.82
W12x14 4.16 88.6 2.36
W10x112 32.9 716 236
W10x100 29.4 623 207
W10x88 25.9 534 179
W10x77 22.6 455 154
W10x68 20 394 134
W10x60 17.6 341 116
W10x54 15.8 303 103
W10x49 14.4 272 93.4
W10x45 13.3 248 53.4
W10x39 11.5 209 45
W10x33 9.71 171 36.6
W10x30 8.84 170 16.7
W10x26 7.61 144 14.1
W10x22 6.49 118 11.4
W10x19 5.62 96.3 4.29
W10x17 4.99 81.9 3.56
W10x15 4.41 68.9 2.89
W10x12 3.54 53.8 2.18
W8x67 19.7 272 88.6
W8x58 17.1 228 75.1
W8x48 14.1 184 60.9
W8x40 11.7 146 49.1
W8x35 10.3 127 42.6
W8x31 9.12 110 37.1
W8x28 8.24 98 21.7
W8x24 7.08 82.7 18.3
W8x21 6.16 75.3 9.77
W8x18 5.26 61.9 7.97
W8x15 4.44 48 3.41
W8x13 3.84 39.6 2.73
W8x10 2.96 30.8 2.09
W6x25 7.36 53.6 17.1
W6x20 5.89 41.5 13.3
W6x16 4.74 32.1 4.43
W6x15 4.45 29.3 9.32
W6x12 3.55 22.1 2.99
W6x9 2.68 16.4 2.2
W6x8.5 2.51 14.8 1.98
W5x19 5.56 26.3 9.13
W5x16 4.71 21.4 7.51
W4x13 3.83 11.3 3.86
S24x121 35.5 3160 83
S24x106 31.1 2940 76.8
S24x100 29.3 2380 47.4
S24x90 26.5 2250 44.7
S24x80 23.5 2100 42
S20x96 28.2 1670 49.9
S20x86 25.3 1570 46.6
S20x75 22 1280 29.5
S20x66 19.4 1190 27.5
S18x70 20.5 923 24
S18x54.7 16 801 20.7
S15x50 14.7 485 15.6
S15x42.9 12.6 446 14.3
S12x50 14.6 303 15.6
S12x40.8 11.9 270 13.5
S12x35 10.2 228 9.84
S12x31.8 9.31 217 9.33
S10x35 10.3 147 8.3
S10x25.4 7.45 123 6.73
S8x23 6.76 64.7 4.27
S8x18.4 5.4 57.5 3.69
S7x20 5.88 42.4 3.17
S7x15.3 4.5 36.7 2.64
S6x17.25 5.06 26.2 2.29
S6x12.5 3.66 22 1.8
S5x14.75 4.34 15.2 1.67
S5x10 2.93 12.3 1.19
S4x9.5 2.79 6.76 0.887
S4x7.7 2.26 6.05 0.748
S3x7.5 2.2 2.91 0.578
S3x5.7 1.66 2.5 0.447
C15x50 14.7 404 11
C15x40 11.8 348 9.17
C15x33.9 9.95 315 8.07
C12x30 8.81 162 5.12
C12x25 7.34 144 4.45
C12x20.7 6.08 129 3.86
C10x30 8.81 103 3.93
C10x25 7.34 91.1 3.34
C10x20 5.87 78.9 2.8
C10x15.3 4.48 67.3 2.27
C9x20 5.87 60.9 2.41
C9x15 4.41 51 1.91
C9x13.4 3.94 47.8 1.75
C8x18.75 5.51 43.9 1.97
C8x13.75 4.04 36.1 1.52
C8x11.5 3.37 32.5 1.31
C7x14.75 4.33 27.2 1.37
C7x12.25 3.6 24.2 1.16
C7x9.8 2.87 21.2 0.957
C6x13 3.81 17.3 1.05
C6x10.5 3.08 15.1 0.86
C6x8.2 2.39 13.1 0.687
C5x9 2.64 8.89 0.624
C5x6.7 1.97 7.48 0.47
C4x7.25 2.13 4.58 0.425
C4x5.4 1.58 3.85 0.312
C4x4.5 1.38 3.65 0.289
C3x6 1.76 2.07 0.3
C3x5 1.47 1.85 0.241
C3x4.1 1.2 1.65 0.191
C3x3.5 1.09 1.57 0.169
MC18x58 17.1 675 17.6
MC18x51.9 15.3 627 16.3
MC18x45.8 13.5 578 14.9
MC18x42.7 12.6 554 14.3
MC13x50 14.7 314 16.4
MC13x40 11.8 273 13.7
MC13x35 10.3 252 12.3
MC13x31.8 9.35 239 11.4
MC12x50 14.7 269 17.4
MC12x45 13.2 252 15.8
MC12x40 11.8 234 14.2
MC12x35 10.3 216 12.6
MC12x31 9.12 202 11.3
MC12x10.6 3.1 55.3 0.378
MC10x41.1 12.1 157 15.7
MC10x33.6 9.87 139 13.1
MC10x28.5 8.37 126 11.3
MC10x25 7.35 110 7.25
MC10x22 6.45 102 6.4
MC10x8.4 2.46 31.9 0.326
MC10x6.5 1.91 22.1 0.112
MC9x25.4 7.47 87.9 7.57
MC9x23.9 7.02 84.9 7.14
MC8x22.8 6.7 63.8 7.01
MC8x21.4 6.28 61.5 6.58
MC8x20 5.88 54.4 4.42
MC8x18.7 5.5 52.4 4.15
Member #1: Member #1: MC8x8.5 2.5 23.3 0.624
Corrections for P Loads at Ends: Corrections for Applied M at SuppMC7x22.7 6.67 47.4 7.24
S Reaction S Reaction for S Moment fS Moment for MC7x19.1 5.61 43.1 6.06
P Loads wi P Loads with Applied M Applied M with MC6x18 5.29 29.7 5.88
Dist. a = 0 Dist. a = L Dist. c = 0 Dist. c = L MC6x16.3 4.79 26 3.77
0 0 P1 0 0 M1 MC6x15.3 4.49 25.3 4.91
0 0 P2 0 0 M2 MC6x15.1 4.44 24.9 3.46
0 0 P3 0 0 M3 MC6x12 3.53 18.7 1.85
0 0 P4 0 0 M4 HSS32x32x 76.4 12300 12300
0 0 P5 0 0 SM HSS32x32x 61.9 10100 10100
0 0 P6 HSS32x32x 46.8 7750 7750
0 0 P7 HSS30x30x 71.4 10100 10100
0 0 P8 HSS30x30x 57.9 8320 8320
0 0 P9 HSS30x30x 43.8 6370 6370
0 0 P10 HSS28x28x 66.4 8140 8140
0 0 SP HSS28x28x 53.9 6730 6730
Vx CorrectiVx Correction: HSS28x28x 40.8 5150 5150
0 0 HSS26x26x 61.4 6460 6460
HSS26x26x 49.9 5350 5350
HSS26x26x 37.8 4110 4110
HSS24x24x 56.4 5030 5030
HSS24x24x 45.9 4170 4170
HSS24x24X 34.8 3210 3210
HSS22x22x 51.4 3820 3820
HSS22x22x 41.9 3190 3190
HSS22x22x 31.8 2460 2460
HSS20x20x 46.4 2830 2830
HSS20x20x 37.9 2370 2370
HSS20x20x 28.8 1830 1830
HSS18x18x 41.4 2020 2020
HSS18x18x 33.9 1700 1700
HSS18x18x 25.8 1320 1320
HSS16x16x 35 1370 1370
HSS16x16x 28.3 1130 1130
HSS16x16x 21.5 873 873
HSS16x16x 18.1 739 739
HSS14x14x 30.3 897 897
HSS14x14x 24.6 743 743
HSS14x14x 18.7 577 577
HSS14x14x 15.7 490 490
HSS12x12x 25.7 548 548
HSS12x12x 20.9 457 457
HSS12x12x 16 357 357
HSS12x12x 13.4 304 304
HSS12x12x 10.8 248 248
HSS10x10x 21 304 304
HSS10x10x 17.2 256 256
HSS10x10x 13.2 202 202
HSS10x10x 11.1 172 172
HSS10x10x 8.96 141 141
HSS10x10x 6.76 108 108
HSS8x8x5/ 16.4 146 146
HSS8x8x1/ 13.5 125 125
HSS8x8x3/ 10.4 99.6 99.6
HSS8x8x5/ 8.76 85.6 85.6
HSS8x8x1/ 7.1 70.7 70.7
HSS8x8x3/ 5.37 54.4 54.4
HSS7x7x5/ 14 93.4 93.4
HSS7x7x1/ 11.6 80.5 80.5
HSS7x7x3/ 8.97 65 65
HSS7x7x5/ 7.59 56.1 56.1
HSS7x7x1/ 6.17 46.5 46.5
HSS7x7x3/ 4.67 36 36
HSS6x6x5/ 11.7 55.2 55.2
HSS6x6x1/ 9.74 48.3 48.3
HSS6x6x3/ 7.58 39.5 39.5
HSS6x6x5/ 6.43 34.3 34.3
HSS6x6x1/ 5.24 28.6 28.6
HSS6x6x3/ 3.98 22.3 22.3
HSS6x6x1/ 2.7 15.5 15.5
HSS5.5x5. 6.88 29.7 29.7
HSS5.5x5. 5.85 25.9 25.9
HSS5.5x5. 4.77 21.7 21.7
HSS5.5x5. 3.63 17 17
HSS5.5x5. 2.46 11.8 11.8
HSS5x5x1/ 7.88 26 26
HSS5x5x3/ 6.18 21.7 21.7
HSS5x5x5/ 5.26 19 19
HSS5x5x1/ 4.3 16 16
HSS5x5x3/ 3.28 12.6 12.6
HSS5x5x1/ 2.23 8.8 8.8
HSS4.5x4. 6.95 18.1 18.1
HSS4.5x4. 5.48 15.3 15.3
HSS4.5x4. 4.68 13.5 13.5
HSS4.5x4. 3.84 11.4 11.4
HSS4.5x4. 2.93 9.02 9.02
HSS4.5x4. 2 6.35 6.35
HSS4x4x1/ 6.02 11.9 11.9
HSS4x4x3/ 4.78 10.3 10.3
HSS4x4x5/ 4.1 9.14 9.14
HSS4x4x1/ 3.37 7.8 7.8
HSS4x4x3/ 2.58 6.21 6.21
HSS4x4x1/ 1.77 4.4 4.4
HSS3.5x3. 4.09 6.49 6.49
HSS3.5x3. 3.52 5.84 5.84
HSS3.5x3. 2.91 5.04 5.04
HSS3.5x3. 2.24 4.05 4.05
HSS3.5x3. 1.54 2.9 2.9
HSS3x3x3/ 3.39 3.78 3.78
HSS3x3x5/ 2.94 3.45 3.45
HSS3x3x1/ 2.44 3.02 3.02
HSS3x3x3/ 1.89 2.46 2.46
HSS3x3x1/ 1.3 1.78 1.78
HSS2.5x2. 2.35 1.82 1.82
HSS2.5x2. 1.97 1.63 1.63
HSS2.5x2. 1.54 1.35 1.35
HSS2.5x2. 1.07 0.998 0.998
HSS2.25x2 1.74 1.13 1.13
HSS2.25x2 1.37 0.953 0.953
HSS2.25x2 0.956 0.712 0.712
HSS2x2x1/ 1.51 0.747 0.747
HSS2x2x3/ 1.19 0.641 0.641
HSS2x2x1/ 0.84 0.486 0.486
HSS1.75x1 1.02 0.405 0.405
HSS1.625x 0.932 0.313 0.313
HSS1.625x 0.666 0.246 0.246
HSS1.5x1. 0.845 0.236 0.236
HSS1.5x1. 0.608 0.188 0.188
HSS1.25x1 0.671 0.122 0.122
HSS1.25x1 0.492 0.102 0.102
HSS32x24x 66.4 9880 6390
HSS32x24x 53.9 8160 5280
HSS32x24x 40.8 6250 4050
HSS30x24x 63.9 8480 6050
HSS30x24x 51.9 7010 5000
HSS30x24x 39.3 5380 3840
HSS28x24x 61.4 7210 5710
HSS28x24x 49.9 5970 4730
HSS28x24x 37.8 4580 3630
HSS26x24x 58.9 6060 5370
HSS26x24x 47.9 5020 4450
HSS26x24x 36.3 3860 3420
HSS24x22x 53.9 4680 4110
HSS24x22x 43.9 3900 3420
HSS24x22x 33.3 3000 2630
HSS22x20x 48.9 3530 3060
HSS22x20x 39.9 2950 2560
HSS22x20x 30.3 2280 1970
HSS20x18x 43.9 2590 2210
HSS20x18x 35.9 2180 1850
HSS20x18x 27.3 1690 1440
HSS20x16x 41.4 2360 1680
HSS20x16x 33.9 1990 1410
HSS20x16x 25.8 1540 1100
HSS20x12x 35 1880 851
HSS20x12x 28.3 1550 705
HSS20x12x 21.5 1200 547
HSS20x12x 18.1 1010 464
HSS20x8x5 30.3 1440 338
HSS20x8x1 24.6 1190 283
HSS20x8x3 18.7 926 222
HSS20x8x5 15.7 786 189
HSS20x4x1 20.9 838 58.7
HSS20x4x3 16 657 47.6
HSS20x4x5 13.4 560 41.2
HSS18x12x 32.6 1450 776
HSS18x12x 26.5 1200 643
HSS18x12x 20.1 929 499
HSS18x6x5 25.7 923 158
HSS18x6x1 20.9 770 134
HSS18x6x3 16 602 106
HSS18x6x5 13.4 513 91.3
HSS18x6x1 10.8 419 75.1
HSS16x12x 30.3 1090 700
HSS16x12x 24.6 904 581
HSS16x12x 18.7 702 452
HSS16x12x 15.7 595 384
HSS16x8x5 25.7 815 274
HSS16x8x1 20.9 679 230
HSS16x8x3 16 531 181
Member #2: Member #2: HSS16x8x5 13.4 451 155
Corrections for P Loads at Ends: Corrections for Applied M at SuppHSS16x4x1 17.2 455 47
S Reaction S Reaction for S Moment fS Moment for HSS16x4x3 13.2 360 38.3
P Loads wi P Loads with Applied M Applied M with HSS16x4x5 11.1 308 33.2
Dist. a = 0 Dist. a = L Dist. c = 0 Dist. c = L HSS14x12x 22.8 658 519
0 0 P1 0 0 M1 HSS14x12x 17.3 512 405
0 0 P2 0 0 M2 HSS14x10x 25.7 687 407
0 0 P3 0 0 M3 HSS14x10x 20.9 573 341
0 0 P4 0 0 M4 HSS14x10x 16 447 267
0 0 P5 0 0 SM HSS14x10x 13.4 380 227
0 0 P6 HSS14x10x 10.8 310 186
0 0 P7 HSS14x6x5 21 478 124
0 0 P8 HSS14x6x1 17.2 402 105
0 0 P9 HSS14x6x3 13.2 317 84.1
0 0 P10 HSS14x6x5 11.1 271 72.3
0 0 SP HSS14x6x1 8.96 222 59.6
Vx CorrectiVx Correction: HSS14x6x3 6.76 170 45.9
0 0 HSS14x4x5 18.7 373 47.2
HSS14x4x1 15.3 317 41.2
HSS14x4x3 11.8 252 33.6
HSS14x4x5 9.92 216 29.2
HSS14x4x1 8.03 178 24.4
HSS14x4x3 6.06 137 19
HSS12x10x 19 395 298
HSS12x10x 14.6 310 234
HSS12x10x 12.2 264 200
HSS12x10x 9.9 216 164
HSS12x8x5 21 397 210
HSS12x8x1 17.2 333 178
HSS12x8x3 13.2 262 140
HSS12x8x5 11.1 224 120
HSS12x8x1 8.96 184 98.8
HSS12x8x3 6.76 140 75.7
HSS12x6x5 18.7 321 107
HSS12x6x1 15.3 271 91.1
HSS12x6x3 11.8 215 72.9
HSS12x6x5 9.92 184 62.8
HSS12x6x1 8.03 151 51.9
HSS12x6x3 6.06 116 40
HSS12x4x5 16.4 245 40.4
HSS12x4x1 13.5 210 35.3
HSS12x4x3 10.4 168 28.9
HSS12x4x5 8.76 144 25.2
HSS12x4x1 7.1 119 21
HSS12x4x3 5.37 91.8 16.4
HSS12x3.5 10 156 21.3
HSS12x3.5 8.46 134 18.6
HSS12x3x5 8.17 124 13.1
HSS12x3x1 6.63 103 11.1
HSS12x3x3 5.02 79.6 8.72
HSS12x2x1 6.17 86.9 4.41
HSS12x2x3 4.67 67.4 3.55
HSS10x8x1 15.3 214 151
HSS10x8x3 11.8 169 120
HSS10x8x5 9.92 145 103
HSS10x8x1 8.03 119 84.7
HSS10x8x3 6.06 91.4 65.1
HSS10x6x5 16.4 201 89.4
HSS10x6x1 13.5 171 76.8
HSS10x6x3 10.4 137 61.8
HSS10x6x5 8.76 118 53.3
HSS10x6x1 7.1 96.9 44.1
HSS10x6x3 5.37 74.6 34.1
HSS10x5x3 9.67 120 40.6
HSS10x5x5 8.17 104 35.2
HSS10x5x1 6.63 85.8 29.3
HSS10x5x3 5.02 66.2 22.7
HSS10x4x5 14 149 33.5
HSS10x4x1 11.6 129 29.5
HSS10x4x3 8.97 104 24.3
HSS10x4x5 7.59 90.1 21.2
HSS10x4x1 6.17 74.7 17.7
HSS10x4x3 4.67 57.8 13.9
HSS10x3.5 4.5 53.6 10.3
HSS10x3x3 8.27 88 12.4
HSS10x3x5 7.01 76.3 11
HSS10x3x1 5.7 63.6 9.28
HSS10x3x3 4.32 49.4 7.33
HSS10x3x1 2.93 34.2 5.16
HSS10x2x3 7.58 71.7 4.7
HSS10x2x5 6.43 62.6 4.24
HSS10x2x1 5.24 52.5 3.67
HSS10x2x3 3.98 41 2.97
HSS9x7x5/ 16.4 174 117
HSS9x7x1/ 13.5 149 100
HSS9x7x3/ 10.4 119 80.4
HSS9x7x5/ 8.76 102 69.2
HSS9x7x1/ 7.1 84.1 57.2
HSS9x7x3/ 5.37 64.7 44.1
HSS9x5x5/ 14 133 52
HSS9x5x1/ 11.6 115 45.2
HSS9x5x3/ 8.97 92.5 36.8
HSS9x5x5/ 7.59 79.8 32
HSS9x5x1/ 6.17 66.1 26.6
HSS9x5x3/ 4.67 51.1 20.7
HSS9x3x1/ 9.74 80.8 13.2
HSS9x3x3/ 7.58 66.3 11.2
HSS9x3x5/ 6.43 57.7 9.88
HSS9x3x1/ 5.24 48.2 8.38
HSS9x3x3/ 3.98 37.6 6.64
HSS8x6x5/ 14 114 72.3
HSS8x6x1/ 11.6 98.2 62.5
HSS8x6x3/ 8.97 79.1 50.6
HSS8x6x5/ 7.59 68.3 43.8
HSS8x6x1/ 6.17 56.6 36.4
HSS8x6x3/ 4.67 43.7 28.2
HSS8x4x5/ 11.7 82 26.6
HSS8x4x1/ 9.74 71.8 23.6
HSS8x4x3/ 7.58 58.7 19.6
HSS8x4x5/ 6.43 51 17.2
HSS8x4x1/ 5.24 42.5 14.4
HSS8x4x3/ 3.98 33.1 11.3
HSS8x4x1/ 2.7 22.9 7.9
HSS8x3x1/ 8.81 58.6 11.7
HSS8x3x3/ 6.88 48.5 9.95
HSS8x3x5/ 5.85 42.4 8.81
HSS8x3x1/ 4.77 35.5 7.49
HSS8x3x3/ 3.63 27.8 5.94
HSS8x3x1/ 2.46 19.3 4.2
HSS8x2x3/ 6.18 38.2 3.73
HSS8x2x5/ 5.26 33.7 3.38
HSS8x2x1/ 4.3 28.5 2.94
HSS8x2x3/ 3.28 22.4 2.39
HSS8x2x1/ 2.23 15.7 1.72
HSS7x5x5/ 11.7 69.4 40.6
HSS7x5x1/ 9.74 60.6 35.6
HSS7x5x3/ 7.58 49.5 29.3
HSS7x5x5/ 6.43 43 25.5
HSS7x5x1/ 5.24 35.9 21.3
HSS7x5x3/ 3.98 27.9 16.6
HSS7x5x1/ 2.7 19.3 11.6
HSS7x4x1/ 8.81 50.7 20.7
HSS7x4x3/ 6.88 41.8 17.3
HSS7x4x5/ 5.85 36.5 15.2
HSS7x4x1/ 4.77 30.5 12.8
HSS7x4x3/ 3.63 23.8 10
HSS7x4x1/ 2.46 16.6 7.03
HSS7x3x1/ 7.88 40.7 10.2
HSS7x3x3/ 6.18 34.1 8.71
HSS7x3x5/ 5.26 29.9 7.74
HSS7x3x1/ 4.3 25.2 6.6
HSS7x3x3/ 3.28 19.8 5.24
HSS7x3x1/ 2.23 13.8 3.71
HSS6x5x3/ 6.88 33.9 25.5
HSS6x5x5/ 5.85 29.6 22.3
HSS6x5x1/ 4.77 24.7 18.7
HSS6x5x3/ 3.63 19.3 14.6
HSS6x4x1/ 7.88 34 17.8
HSS6x4x3/ 6.18 28.3 14.9
HSS6x4x5/ 5.26 24.8 13.2
HSS6x4x1/ 4.3 20.9 11.1
HSS6x4x3/ 3.28 16.4 8.76
HSS6x4x1/ 2.23 11.4 6.15
HSS6x3x1/ 6.95 26.8 8.69
HSS6x3x3/ 5.48 22.7 7.48
HSS6x3x5/ 4.68 20.1 6.67
HSS6x3x1/ 3.84 17 5.7
HSS6x3x3/ 2.93 13.4 4.55
HSS6x3x1/ 2 9.43 3.23
HSS6x2x3/ 4.78 17.1 2.77
HSS6x2x5/ 4.1 15.3 2.52
HSS6x2x1/ 3.37 13.1 2.21
HSS6x2x3/ 2.58 10.5 1.8
HSS6x2x1/ 1.77 7.42 1.31
HSS5x4x1/ 6.95 21.2 14.9
HSS5x4x3/ 5.48 17.9 12.6
HSS5x4x5/ 4.68 15.8 11.1
HSS5x4x1/ 3.84 13.4 9.46
HSS5x4x3/ 2.93 10.6 7.48
HSS5x3x1/ 6.02 16.4 7.18
Member #3: Member #3: HSS5x3x3/ 4.78 14.1 6.25
Corrections for P Loads at Ends: Corrections for Applied M at SuppHSS5x3x5/ 4.1 12.6 5.6
S Reaction S Reaction for S Moment fS Moment for HSS5x3x1/ 3.37 10.7 4.81
P Loads wi P Loads with Applied M Applied M with HSS5x3x3/ 2.58 8.53 3.85
Dist. a = 0 Dist. a = L Dist. c = 0 Dist. c = L HSS5x3x1/ 1.77 6.03 2.75
0 0 P1 0 0 M1 HSS5x2.5x 3.14 9.4 3.13
0 0 P2 0 0 M2 HSS5x2.5x 2.41 7.51 2.53
0 0 P3 0 0 M3 HSS5x2.5x 1.65 5.34 1.82
0 0 P4 0 0 M4 HSS5x2x3/ 4.09 10.4 2.28
0 0 P5 0 0 SM HSS5x2x5/ 3.52 9.35 2.1
0 0 P6 HSS5x2x1/ 2.91 8.08 1.84
0 0 P7 HSS5x2x3/ 2.24 6.5 1.51
0 0 P8 HSS5x2x1/ 1.54 4.65 1.1
0 0 P9 HSS4x3x3/ 4.09 7.93 5.01
0 0 P10 HSS4x3x5/ 3.52 7.14 4.52
0 0 SP HSS4x3x1/ 2.91 6.15 3.91
Vx CorrectiVx Correction: HSS4x3x3/ 2.24 4.93 3.16
0 0 HSS4x3x1/ 1.54 3.52 2.27
HSS4x2.5x 3.23 6.13 2.89
HSS4x2.5x 2.67 5.32 2.53
HSS4x2.5x 2.06 4.3 2.06
HSS4x2x3/ 3.39 5.6 1.8
HSS4x2x5/ 2.94 5.13 1.67
HSS4x2x1/ 2.44 4.49 1.48
HSS4x2x3/ 1.89 3.66 1.22
HSS4x2x1/ 1.3 2.65 0.898
HSS3.5x2. 3.39 4.75 2.77
HSS3.5x2. 2.94 4.34 2.54
HSS3.5x2. 2.44 3.79 2.23
HSS3.5x2. 1.89 3.09 1.82
HSS3.5x2. 1.3 2.23 1.33
HSS3x2.5x 2.64 2.92 2.18
HSS3x2.5x 2.21 2.57 1.93
HSS3x2.5x 1.71 2.11 1.59
HSS3x2.5x 1.19 1.54 1.16
HSS3x2x5/ 2.35 2.38 1.24
HSS3x2x1/ 1.97 2.13 1.11
HSS3x2x3/ 1.54 1.77 0.932
HSS3x2x1/ 1.07 1.3 0.692
HSS3x1.5x 1.74 1.68 0.543
HSS3x1.5x 1.37 1.42 0.467
HSS3x1.5x 0.956 1.06 0.355
HSS3x1x1/ 0.84 0.817 0.138
HSS2.5x1. 1.51 1.03 0.449
HSS2.5x1. 1.19 0.882 0.39
HSS2.5x1. 0.84 0.668 0.3
HSS2x1.5x 1.02 0.495 0.313
HSS2x1x3/ 0.845 0.35 0.112
HSS2x1x1/ 0.608 0.28 0.0922
Version 1.0
Caution: Do not use "Space Bar" to clear contents of

unused input cells for loadings. "Highlight" those
cells which are to be cleared and click on the
Right Mouse Button and select "Clear Contents".
Steel Beam:
Size: W18x40
A= 11.8 in.^2
Ix = 612 in.^4
Iy = 19.1 in.^4
GABLE RIGID PLANE FRAME ANALYSIS
For Fixed or Pinned Bases
Job Name: Subject:

Job Number: Originator:
Input Data:
Joint Coordinates:
Joint No. x (ft.) y (ft.)

1 0 0
2 0 13
3 13 15
4 26 13
5 26 0
Support Constraints:
Joint No. Condition

1 Pinned
5 Pinned
Plot of Gable Frame
Member Properties and Data:
Member No. E (ksi) A (in.^2) I (in.^4) L (ft.) lx ly

1 29000 20 723 13 0 1
2 29000 11.8 612 13.15295 0.988372 0.152057
3 29000 11.8 612 13.15295 0.988372 -0.152057
4 29000 20 723 13 0 1
Joint Loads:
Joint No. Px (kips) Py (kips) Mz (ft-k)

1
2 3.25
3
4
5
Member Loads:
Distributed Loads:
Member Distributed Load #1 Distributed Load #2

No. Load Directb/L wb (k/ft.) e/L we (k/ft.) b/L wb (k/ft.) e/L
1 X-Global
2 Y-Global 0 -1 1 -1
2 X-Projected
3 Y-Global 0 -1 1 -1
3 X-Projected
4 X-Global
Point Loads:
Member Point Load #1 Point Load #2 Point Load #3 Point Load #4

No. Load Directa/L P (kips) a/L P (kips) a/L P (kips) a/L
1 X-Global
2 Y-Global
2 X-Global
3 Y-Global
3 X-Global
4 X-Global
Applied Moments:
Member No. Moment #1 Moment #2 Moment #3 Moment #4

c/L M (ft-kips) c/L M (ft-kips) c/L M (ft-kips) c/L
1
2
3
4

Shears and Moments for Member #1 Shears and Moments for Member #2
Point # Dist. y Shear Moment Point # Dist. x Shear
(feet) (kips) (ft-kips) (feet) (kips)
Joint 1: 1 0 -1.606852 0 Joint 2: 1 0 10.65538
2 0.26 -1.606852 -0.417782 2 0.263059 10.39538
3 0.52 -1.606852 -0.835563 3 0 0
4 0.78 -1.606852 -1.253345 4 0 0
5 1.04 -1.606852 -1.671126 5 0 0
6 1.3 -1.606852 -2.088908 6 0 0
7 1.56 -1.606852 -2.506689 7 0 0
8 1.82 -1.606852 -2.924471 8 0 0
9 2.08 -1.606852 -3.342252 9 0 0
10 2.34 -1.606852 -3.760034 10 0 0
11 2.6 -1.606852 -4.177815 11 0 0
12 2.86 -1.606852 -4.595597 12 0 0
13 3.12 -1.606852 -5.013378 13 0 0
14 3.38 -1.606852 -5.43116 14 0 0
15 3.64 -1.606852 -5.848941 15 0 0
16 3.9 -1.606852 -6.266723 16 0 0
17 4.16 -1.606852 -6.684504 17 0 0
18 4.42 -1.606852 -7.102286 18 0 0
19 4.68 -1.606852 -7.520067 19 0 0
20 4.94 -1.606852 -7.937849 20 0 0
21 5.2 -1.606852 -8.35563 21 0 0
22 5.46 -1.606852 -8.773412 22 0 0
23 5.72 -1.606852 -9.191193 23 0 0
24 5.98 -1.606852 -9.608975 24 0 0
25 6.24 -1.606852 -10.02676 25 0 0
26 6.5 -1.606852 -10.44454 26 0 0
27 6.76 -1.606852 -10.86232 27 0 0
28 7.02 -1.606852 -11.2801 28 0 0
29 7.28 -1.606852 -11.69788 29 0 0
30 7.54 -1.606852 -12.11566 30 0 0
31 7.8 -1.606852 -12.53345 31 0 0
32 8.06 -1.606852 -12.95123 32 0 0
33 8.32 -1.606852 -13.36901 33 0 0
34 8.58 -1.606852 -13.78679 34 0 0
35 8.84 -1.606852 -14.20457 35 0 0
36 9.1 -1.606852 -14.62235 36 0 0
37 9.36 -1.606852 -15.04013 37 0 0
38 9.62 -1.606852 -15.45792 38 0 0
39 9.88 -1.606852 -15.8757 39 0 0
40 10.14 -1.606852 -16.29348 40 0 0
41 10.4 -1.606852 -16.71126 41 0 0
42 10.66 -1.606852 -17.12904 42 0 0
43 10.92 -1.606852 -17.54682 43 0 0
44 11.18 -1.606852 -17.9646 44 0 0
45 11.44 -1.606852 -18.38239 45 0 0
46 11.7 -1.606852 -18.80017 46 0 0
47 11.96 -1.606852 -19.21795 47 0 0
48 12.22 -1.606852 -19.63573 48 0 0
49 12.48 -1.606852 -20.05351 49 0 0
50 12.74 -1.606852 -20.47129 50 0 0
Joint 2: 51 13 -1.606852 -20.88908 Joint 3: 51 13.15295 0
Results:
Support Reactions:
Checker:
Joint No. Rx (kips) Ry (kips)
1 1.606852 11.52795
5 -4.856852 14.77795
Y
Member End Forces:
Member NoJoint No. Axial (k)

1 1 11.52795
2 -11.52795
2 2 0
3 -4.553282
3 3 5.047468
4 -7.047468
4 5 14.77795
4 -14.77795
X
Member Maximum Moments:
Gable Frame Nomenclature
Member No+M or -M M (ft-k)
c/L 1 +M(max) 1.61E-09
e/L -M(max) -20.88908
b/L 2 +M(max) 0
a/L -M(max) 0
P M we 3 +M(max) 0
wb -M(max) 0
4 +M(max) 0
x or y L -M(max) 0
Member Load Nomenclature Joint Displacements:
Note: Point loads or moments at member Joint No. Dx (in.) Dy (in.)

ends must be input as joint loads. 1 0 0
2 0.189265 -0.003101
3 0.215944 -0.193359
4 0.242258 -0.003975
5 0 0

we (k/ft.) b/L wb (k/ft.) e/L we (k/ft.) b/L wb (k/ft.) e/L we (k/ft.) b/L
P (kips) a/L P (kips) a/L P (kips) a/L P (kips) a/L P (kips) a/L
Moment #4
M (ft-kips)

s for Member #2 Shears and Moments for Member #3 Shears and Moments fo
Moment Point # Dist. y Shear Moment Point #
(ft-kips) (feet) (kips) (ft-kips)
-20.88908 Joint 3: 1 0 0 0 Joint 5: 1
-18.12028 2 0 0 0 2
0 3 0 0 0 3
0 4 0 0 0 4
0 5 0 0 0 5
0 6 0 0 0 6
0 7 0 0 0 7
0 8 0 0 0 8
0 9 0 0 0 9
0 10 0 0 0 10
0 11 0 0 0 11
0 12 0 0 0 12
0 13 0 0 0 13
0 14 0 0 0 14
0 15 0 0 0 15
0 16 0 0 0 16
0 17 0 0 0 17
0 18 0 0 0 18
0 19 0 0 0 19
0 20 0 0 0 20
0 21 0 0 0 21
0 22 0 0 0 22
0 23 0 0 0 23
0 24 0 0 0 24
0 25 0 0 0 25
0 26 0 0 0 26
0 27 0 0 0 27
0 28 0 0 0 28
0 29 0 0 0 29
0 30 0 0 0 30
0 31 0 0 0 31
0 32 0 0 0 32
0 33 0 0 0 33
0 34 0 0 0 34
0 35 0 0 0 35
0 36 0 0 0 36
0 37 0 0 0 37
0 38 0 0 0 38
0 39 0 0 0 39
0 40 0 0 0 40
0 41 0 0 0 41
0 42 0 0 0 42
0 43 0 0 0 43
0 44 0 0 0 44
0 45 0 0 0 45
0 46 0 0 0 46
0 47 0 0 0 47
0 48 0 0 0 48
0 49 0 0 0 49
0 50 0 0 0 50
0 Joint 4: 51 13.15295 0 0 Joint 4: 51
CALCULATIONS:
Member Direction Cosines:

Member Nolx
1 0
Mz (ft-k) 2 0.988372
0 3 0.988372
0 4 0
Member Loads:
Shear (k) Moment (ft-k)
-1.606852 0 Distributed Loads:
1.606852 -20.88908
10.65538 20.88908 Member NoDistributed Load #1
2.344623 33.76637 b (ft.) wb (k/ft.) e (ft.)
-0.867585 -33.76637 1 (X) 0 0 0
13.86758 -63.13908 2 (Y) 0 0.988372 13.15295
4.856852 0 2 (Axial) 0 0.152057 13.15295
-4.856852 63.13908 2 (X) 0 0 0
2 (Axial) 0 0 0
3 (Y) 0 0.988372 13.15295
3 (Axial) 0 -0.152057 13.15295
x or y (ft.) 3 (X) 0 0 0
0 3 (Axial) 0 0 0
13 4 (X) 0 0 0
0
0 Point Loads:
0
0 Member NoPoint Load #1 Point Load #2
0 a (ft.) P (kips) a (ft.)
0 1 (X) 0 0 0
2 (Y) 0 0 0
2 (Axial) 0 0 0
2 (X) 0 0 0
qz (rad.) 2 (Axial) 0 0 0
-0.000902 3 (Y) 0 0 0
-0.001835 3 (Axial) 0 0 0
0.000373 3 (X) 0 0 0
0.000326 3 (Axial) 0 0 0
-0.002492 4 (X) 0 0 0
Applied Moments:
Distributed Load #5
wb (k/ft.) e/L we (k/ft.) Member NoMoment #1 Moment #2
c (ft.) M (ft-kips) c (ft.)
1 1E-09 0 1E-09
2 1E-09 0 1E-09
3 1E-09 0 1E-09
4 1E-09 0 1E-09
Determine Fixed End Moments for Members:
Point Load #9 Point Load #10 Loading Functions Evaluated at x = L
P (kips) a/L P (kips) Points: FvL FmL FqL FDL
Member #1--- --- --- ---
Member #1--- --- --- ---
Member #2 -13 -85.49415 -2.11E-05 6.94E-05
Member #2 -13 -85.49415 -2.11E-05 6.94E-05
Member #2( -2 -13.15295 -3.25E-06 1.07E-05
Member #2( -2 -13.15295 -3.25E-06 1.07E-05
Member #2--- --- --- ---
Member #2--- --- --- ---
Member #2(--- --- --- ---
Member #2(--- --- --- ---
Member #3 -13 -85.49415 -2.11E-05 6.94E-05
Member #3 -13 -85.49415 -2.11E-05 6.94E-05
Member #3( 2 13.15295 3.25E-06 -1.07E-05
Member #3( 2 13.15295 3.25E-06 -1.07E-05
Member #3--- --- --- ---
Member #3--- --- --- ---
Member #3(--- --- --- ---
Member #3(--- --- --- ---
Member #4--- --- --- ---
Member #4--- --- --- ---
Gable Frame Case #1 - Joint 1 Fixed and Joint 5 Fixed:

Member #1 10 11
66.27409 0
0 3717.949
k' 1 = -5169.379 0
-66.27409 0
0 -3717.949
-5169.379 0
Member #2 1 2
2119.205 317.6985
317.6985 103.0416
k' 2 = -649.9785 4224.861
-2119.205 -317.6985
-317.6985 -103.0416
-649.9785 4224.861
Member #3 4 5
2119.205 -317.6985
-317.6985 103.0416
k' 3 = 649.9785 4224.861
-2119.205 317.6985
317.6985 -103.0416
649.9785 4224.861
Member #4 13 14
66.27409 0
Shears and Moments for Member #4 0 3717.949
Dist. y Shear Moment k' 4 = -5169.379 0
(feet) (kips) (ft-kips) -66.27409 0
0 0 0 0 -3717.949
0 0 0 -5169.379 0
0 0 0 Q=K*D
0 0 0 15x15 Structure Stiffness Matrix, K
0 0 0 End Forces Vector, Q: 1 2
0 0 0 3.25 Fx1 2185.479 317.6985
0 0 0 -6.576473 Fy2 317.6985 3820.99
0 0 0 -170.9883 Mz3 4519.4 4224.861
0 0 0 0 Fx4 -2119.205 -317.6985
0 0 0 Qk = -13.15295 Fy5 -317.6985 -103.0416
0 0 0 7.8E-09 Mz6 -649.9785 4224.861
0 0 0 0 Fx7 0 0
0 0 0 -6.576473 Fy8 0 0
0 0 0 170.9883 Mz9 0 0
0 0 0 Rx10 = ? -66.27409 0
0 0 0 Ry11 = ? 0 -3717.949
0 0 0 Qu = Mz12 = ? 5169.379 0
0 0 0 Rx13 = ? 0 0
0 0 0 Ry14 = ? 0 0
0 0 0 Mz15 = ? 0 0
0 0 0
0 0 Inverse of 9x9 Partitioned Submatr
0 0 0 1 2
0 0 0 0.014458 4.8E-05
0 0 0 4.8E-05 0.000269
0 0 0 -7.82E-05 -6.16E-07
0 0 0 0.014031 6.87E-05
0 0 0 1 / K11 = 0.001572 0.000134
0 0 0 4.1E-05 -9.84E-07
0 0 0 0.013563 4.8E-05
0 0 0 -4.8E-05 1.43E-07
0 0 0 -8.76E-05 -6.16E-07
0 0 0
0 0 0 DisplacemeDu = Qk / K11
0 0 0 Dx1 0.024716 in.
0 0 0 Dy2 -0.003382 in.
0 0 0 qz3 -0.001028 rad.
0 0 0 Dx4 0.0456 in.
0 0 0 Dy5 -0.162657 in.
0 0 0 qz6 0.000133 rad.
0 0 0 Dx7 0.066353 in.
0 0 0 Dy8 -0.003694 in.
0 0 0 qz9 0.000489 rad.
0 0 0
0 0 0 Member End Forces Solution:
0 0 0 Member #1 1 2
0 0 0 0 1
0 0 0 -1 0
0 0 0 T1 = 0 0
0 0 0 0 0
13 0 0 0 0
0 0
Member #2 1 2
0.988372 0.152057
-0.152057 0.988372
T2 = 0 0
0 0
0 0
0 0
Member #3 1 2
0.988372 -0.152057
0.152057 0.988372
T3 = 0 0
0 0
0 0
0 0
Member #4 1 2
0 1
-1 0
T4 = 0 0
0 0
0 0
0 0
Gable Frame Case #2 - Joint 1 Pinned and Joint 5 Pinned

Member #1 12 13
66.27409 0
0 3717.949
k' 1 = -5169.379 0
-66.27409 0
0 -3717.949
-5169.379 0
Member #2 1 2
2119.205 317.6985
317.6985 103.0416
k' 2 = -649.9785 4224.861
-2119.205 -317.6985
-317.6985 -103.0416
-649.9785 4224.861
Member #3 4 5
2119.205 -317.6985
-317.6985 103.0416
k' 3 = 649.9785 4224.861
-2119.205 317.6985
317.6985 -103.0416
649.9785 4224.861
Member #4 14 15
66.27409 0
0 3717.949
k' 4 = -5169.379 0
-66.27409 0
0 -3717.949
-5169.379 0
Q=K*D
3.25 Fx1 2185.479 317.6985
-6.576473 Fy2 317.6985 3820.99
-170.9883 Mz3 4519.4 4224.861
0 Fx4 -2119.205 -317.6985
-13.15295 Fy5 -317.6985 -103.0416
Qk = 7.8E-09 Mz6 -649.9785 4224.861
0 Fx7 0 0
-6.576473 Fy8 0 0
170.9883 Mz9 0 0
0 Mz10 5169.379 0
0 Mz11 0 0
Rx12 = ? -66.27409 0
Qu = Ry13 = ? 0 -3717.949
Rx14 = ? 0 0
Ry15 = ? 0 0
Inverse of 11x11 Partitioned Subma

1 2
0.066901 0.000134
0.000134 0.000269
-0.000224 -8.62E-07
0.066444 0.000155
0.001924 0.000134
1 / K11 = 0.000115 -8.62E-07
0.065875 0.000134
-0.000134 0
-0.00024 -8.62E-07
-0.000531 -8.62E-07
-0.000513 -8.62E-07
Dx1 0.189265 in.
Dy2 -0.003101 in.
qz3 -0.001835 rad.
Dx4 0.215944 in.
Dy5 -0.193359 in.
qz6 0.000373 rad.
Dx7 0.242258 in.
Dy8 -0.003975 in.
qz9 0.000326 rad.
qz10 -0.000902 rad.
qz11 -0.002492 rad.

Member #1 1 2
0 1
-1 0
T1 = 0 0
0 0
0 0
0 0
Member #2 1 2
0.988372 0.152057
-0.152057 0.988372
T2 = 0 0
0 0
0 0
0 0
Member #3 1 2
0.988372 -0.152057
0.152057 0.988372
T3 = 0 0
0 0
0 0
0 0
Member #4 1 2
0 1
-1 0
T4 = 0 0
0 0
0 0
0 0
Gable Frame Case #3 - Joint 1 Fixed and Joint 5 Pinned:

Member #1 11 12
66.27409 0
0 3717.949
k' 1 = -5169.379 0
-66.27409 0
0 -3717.949
-5169.379 0
Member #2 1 2
2119.205 317.6985
317.6985 103.0416
k' 2 = -649.9785 4224.861
-2119.205 -317.6985
-317.6985 -103.0416
-649.9785 4224.861
Member #3 4 5
2119.205 -317.6985
-317.6985 103.0416
k' 3 = 649.9785 4224.861
-2119.205 317.6985
317.6985 -103.0416
649.9785 4224.861
Member #4 14 15
66.27409 0
0 3717.949
k' 4 = -5169.379 0
-66.27409 0
0 -3717.949
-5169.379 0
Q=K*D
3.25 Fx1 2185.479 317.6985
-6.576473 Fy2 317.6985 3820.99
-170.9883 Mz3 4519.4 4224.861
0 Fx4 -2119.205 -317.6985
Qk = -13.15295 Fy5 -317.6985 -103.0416
7.8E-09 Mz6 -649.9785 4224.861
0 Fx7 0 0
-6.576473 Fy8 0 0
170.9883 Mz9 0 0
0 Mz10 0 0
Rx11 = ? -66.27409 0
Ry12 = ? 0 -3717.949
Qu = Mz13 = ? 5169.379 0
Rx14 = ? 0 0
Ry15 = ? 0 0

1 2
0.023349 6.38E-05
6.38E-05 0.000269
-0.000144 -7.33E-07
0.02361 8.57E-05
1 / K11 = -0.002114 0.000128
5.44E-05 -9.6E-07
0.023817 6.63E-05
-6.38E-05 1.15E-07
-7.62E-05 -6E-07
-0.000191 -3.39E-07
Dx1 0.115308 in.
Dy2 -0.003221 in.
qz3 -0.0017 rad.
Dx4 0.143205 in.
Dy5 -0.200216 in.
qz6 0.00027 rad.
Dx7 0.170837 in.
Dy8 -0.003855 in.
qz9 0.000605 rad.
qz10 -0.001945 rad.

Member #1 1 2
0 1
-1 0
T1 = 0 0
0 0
0 0
0 0
Member #2 1 2
0.988372 0.152057
-0.152057 0.988372
T2 = 0 0
0 0
0 0
0 0
Member #3 1 2
0.988372 -0.152057
0.152057 0.988372
T3 = 0 0
0 0
0 0
0 0
Member #4 1 2
0 1
-1 0
T4 = 0 0
0 0
0 0
0 0
Gable Frame Case #4 - Joint 1 Pinned and Joint 5 Fixed:
Member #1 11 12
66.27409 0
0 3717.949
k' 1 = -5169.379 0
-66.27409 0
0 -3717.949
-5169.379 0
Member #2 1 2
2119.205 317.6985
317.6985 103.0416
k' 2 = -649.9785 4224.861
-2119.205 -317.6985
-317.6985 -103.0416
-649.9785 4224.861
Member #3 4 5
2119.205 -317.6985
-317.6985 103.0416
k' 3 = 649.9785 4224.861
-2119.205 317.6985
317.6985 -103.0416
649.9785 4224.861
Member #4 13 14
66.27409 0
0 3717.949
k' 4 = -5169.379 0
-66.27409 0
0 -3717.949
-5169.379 0
Q=K*D
3.25 Fx1 2185.479 317.6985
-6.576473 Fy2 317.6985 3820.99
-170.9883 Mz3 4519.4 4224.861
0 Fx4 -2119.205 -317.6985
Qk = -13.15295 Fy5 -317.6985 -103.0416
7.8E-09 Mz6 -649.9785 4224.861
0 Fx7 0 0
-6.576473 Fy8 0 0
170.9883 Mz9 0 0
0 Mz10 5169.379 0
Rx11 = ? -66.27409 0
Ry12 = ? 0 -3717.949
Qu = Rx13 = ? 0 0
Ry14 = ? 0 0
Mz15 = ? 0 0

1 2
#VALUE! #VALUE!
#VALUE! #VALUE!
#VALUE! #VALUE!
#VALUE! #VALUE!
1 / K11 = #VALUE! #VALUE!
#VALUE! #VALUE!
#VALUE! #VALUE!
#VALUE! #VALUE!
#VALUE! #VALUE!
#VALUE! #VALUE!
Dx1 #VALUE! in.
Dy2 #VALUE! in.
qz3 #VALUE! rad.
Dx4 #VALUE! in.
Dy5 #VALUE! in.
qz6 #VALUE! rad.
Dx7 #VALUE! in.
Dy8 #VALUE! in.
qz9 #VALUE! rad.
qz10 #VALUE! rad.

Member #1 1 2
0 1
-1 0
T1 = 0 0
0 0
0 0
0 0
Member #2 1 2
0.988372 0.152057
-0.152057 0.988372
T2 = 0 0
0 0
0 0
0 0
Member #3 1 2
0.988372 -0.152057
0.152057 0.988372
T3 = 0 0
0 0
0 0
0 0
Member #4 1 2
0 1
-1 0
T4 = 0 0
0 0
0 0
0 0
Individual Member Calculations:

Member #1:
Left End, M 0 0
Right End, -20.88908 13

1 --- --- --- ---
2 --- --- --- ---
3 --- --- --- ---
4 --- --- --- ---
5 --- --- --- ---
6 --- --- --- ---
7 --- --- --- ---
8 --- --- --- ---
9 --- --- --- ---
10 --- --- --- ---
11 --- --- --- ---
12 --- --- --- ---
13 --- --- --- ---
14 --- --- --- ---
15 --- --- --- ---
16 --- --- --- ---
17 --- --- --- ---
18 --- --- --- ---
19 --- --- --- ---
20 --- --- --- ---
21 --- --- --- ---
22 --- --- --- ---
23 --- --- --- ---
24 --- --- --- ---
25 --- --- --- ---
26 --- --- --- ---
27 --- --- --- ---
28 --- --- --- ---
29 --- --- --- ---
30 --- --- --- ---
31 --- --- --- ---
32 --- --- --- ---
33 --- --- --- ---
34 --- --- --- ---
35 --- --- --- ---
36 --- --- --- ---
37 --- --- --- ---
38 --- --- --- ---
39 --- --- --- ---
40 --- --- --- ---
41 --- --- --- ---
42 --- --- --- ---
43 --- --- --- ---
44 --- --- --- ---
45 --- --- --- ---
46 --- --- --- ---
47 --- --- --- ---
48 --- --- --- ---
49 --- --- --- ---
50 --- --- --- ---
51 --- --- --- ---
User x1 --- --- --- ---
User x2 --- --- --- ---
x=a1 for P --- --- --- ---
x=a2 for P --- --- --- ---
x=a3 for P --- --- --- ---
x=a4 for P --- --- --- ---
x=a5 for P --- --- --- ---
x=a6 for P --- --- --- ---
x=a7 for P --- --- --- ---
x=a8 for P --- --- --- ---
x=a9 for P --- --- --- ---
x=a10 for --- --- --- ---
x=c1 for M --- --- --- ---
x=c2 for M --- --- --- ---
x=c3 for M --- --- --- ---
x=c4 for M --- --- --- ---
x=0 for ML --- --- --- ---
x=L for MR --- --- --- ---
x for Vx=0( --- --- --- ---
x for qx=0( --- --- --- ---
x for Vx=0( --- --- --- ---
x for qx=0( --- --- --- ---
Member #2:
Left End, M 20.88908 0
Right End, 33.76637 13.15295

1 -13 -85.49415 -2.11E-05 6.94E-05
2 -13 -85.49415 -2.11E-05 6.94E-05
3 -13 -85.49415 -2.11E-05 6.94E-05
Fixed
ly Pinned
1 X-Global
0.152057 X-Projected
-0.152057 Y-Global
1 Y-Projected

we (k/ft.) b (ft.) wb (k/ft.) e (ft.) we (k/ft.) b (ft.) wb (k/ft.) e (ft.) we (k/ft.) b (ft.)
0 0 0 0 0 0 0 0 0 0
0.988372 0 0 0 0 0 0 0 0 0
0.152057 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
0.988372 0 0 0 0 0 0 0 0 0
-0.152057 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
P (kips) a (ft.) P (kips) a (ft.) P (kips) a (ft.) P (kips) a (ft.) P (kips) a (ft.)
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
Moment #2 Moment #3 Moment #4

M (ft-kips) c (ft.) M (ft-kips) c (ft.) M (ft-kips)
0 1E-09 0 1E-09 0
0 1E-09 0 1E-09 0
0 1E-09 0 1E-09 0
0 1E-09 0 1E-09 0
or Members:
--- --- --- --- --- --- --- --- --- ---
--- --- --- --- --- --- --- --- --- ---
0 0 0 0 --- --- --- --- --- ---
-13 -85.49415 -2.11E-05 6.94E-05 --- --- --- --- --- ---
0 0 0 0 --- --- --- --- --- ---
-2 -13.15295 -3.25E-06 1.07E-05 --- --- --- --- --- ---
--- --- --- --- --- --- --- --- --- ---
--- --- --- --- --- --- --- --- --- ---
--- --- --- --- --- --- --- --- --- ---
--- --- --- --- --- --- --- --- --- ---
0 0 0 0 --- --- --- --- --- ---
-13 -85.49415 -2.11E-05 6.94E-05 --- --- --- --- --- ---
0 0 0 0 --- --- --- --- --- ---
2 13.15295 3.25E-06 -1.07E-05 --- --- --- --- --- ---
--- --- --- --- --- --- --- --- --- ---
--- --- --- --- --- --- --- --- --- ---
--- --- --- --- --- --- --- --- --- ---
--- --- --- --- --- --- --- --- --- ---
--- --- --- --- --- --- --- --- --- ---
--- --- --- --- --- --- --- --- --- ---
12 1 2 3
-5169.379 -66.27409 0 -5169.379 10
0 0 -3717.949 0 11
537615.4 5169.379 0 268807.7 12
5169.379 66.27409 0 5169.379 1
0 0 3717.949 0 2
268807.7 5169.379 0 537615.4 3
3 4 5 6
-649.9785 -2119.205 -317.6985 -649.9785 1
4224.861 -317.6985 -103.0416 4224.861 2
449785.2 649.9785 -4224.861 224892.6 3
649.9785 2119.205 317.6985 649.9785 4
-4224.861 317.6985 103.0416 -4224.861 5
224892.6 649.9785 -4224.861 449785.2 6
6 7 8 9
649.9785 -2119.205 317.6985 649.9785 4 Gable Frame Case #1 - Joint 1 Fixed and Joint 4 Fixed:
4224.861 317.6985 -103.0416 4224.861 5
449785.2 -649.9785 -4224.861 224892.6 6
-649.9785 2119.205 -317.6985 -649.9785 7
-4224.861 -317.6985 103.0416 -4224.861 8
224892.6 -649.9785 -4224.861 449785.2 9
15 7 8 9
-5169.379 -66.27409 0 -5169.379 13
0 0 -3717.949 0 14
537615.4 5169.379 0 268807.7 15
5169.379 66.27409 0 5169.379 7
0 0 3717.949 0 8
268807.7 5169.379 0 537615.4 9

3 4 5 6 7 8 9 10 11 12
4519.4 -2119.205 -317.6985 -649.9785 0 0 0 -66.27409 0 5169.379
4224.861 -317.6985 -103.0416 4224.861 0 0 0 0 -3717.949 0
987400.5 649.9785 -4224.861 224892.6 0 0 0 -5169.379 0 268807.7
649.9785 4238.411 0 1299.957 -2119.205 317.6985 649.9785 0 0 0
-4224.861 0 206.0832 0 317.6985 -103.0416 4224.861 0 0 0
224892.6 1299.957 0 899570.3 -649.9785 -4224.861 224892.6 0 0 0
0 -2119.205 317.6985 -649.9785 2185.479 -317.6985 4519.4 0 0 0
0 317.6985 -103.0416 -4224.861 -317.6985 3820.99 -4224.861 0 0 0
0 649.9785 4224.861 224892.6 4519.4 -4224.861 987400.5 0 0 0
-5169.379 0 0 0 0 0 0 66.27409 0 -5169.379
0 0 0 0 0 0 0 0 3717.949 0
268807.7 0 0 0 0 0 0 -5169.379 0 537615.4
0 0 0 0 -66.27409 0 -5169.379 0 0 0
0 0 0 0 0 -3717.949 0 0 0 0
0 0 0 0 5169.379 0 268807.7 0 0 0

3 4 5 6 7 8 9
-7.82E-05 0.014031 0.001572 4.1E-05 0.013563 -4.8E-05 -8.76E-05 1
-6.16E-07 6.87E-05 0.000134 -9.84E-07 4.8E-05 1.43E-07 -6.16E-07 2
1.73E-06 -8.32E-05 4.16E-05 -5.25E-07 -8.76E-05 6.16E-07 4E-07 3
-8.32E-05 0.01429 1.49E-17 4.06E-05 0.014031 -6.87E-05 -8.32E-05 4
4.16E-05 0 0.011539 0 -0.001572 0.000134 -4.16E-05 5
-5.25E-07 4.06E-05 4.41E-20 1.38E-06 4.1E-05 9.84E-07 -5.25E-07 6
-8.76E-05 0.014031 -0.001572 4.1E-05 0.014458 -4.8E-05 -7.82E-05 7
6.16E-07 -6.87E-05 0.000134 9.84E-07 -4.8E-05 0.000269 6.16E-07 8
4E-07 -8.32E-05 -4.16E-05 -5.25E-07 -7.82E-05 6.16E-07 1.73E-06 9

Rx10 3.676817 kips
Ry11 12.57258 kips
Mz12 -148.6048 in-kips -12.38374
Rx13 -6.926817 kips
Ry14 13.73332 kips
Mz15 474.5293 in-kips 39.54411
q = k' * D * T D k' * D k' * D * T

0 0 0 0 1 0 Dx10 Start Jt. 1 3.676817 12.57258
0 0 0 0 2 0 Dy11 Start Jt. 1 12.57258 -3.676817
1 0 0 0 3 0 qz12 Start Jt. 1 -148.6048 -148.6048
0 0 1 0 4 0.024716 Dx1 End Jt. 2 Ax-3.676817 -12.57258
0 -1 0 0 5 -0.003382 Dy2 End Jt. 2 S -12.57258 3.676817
0 0 0 1 6 -0.001028 qz3 End Jt. 2 -424.9786 -424.9786

0 0 0 0 1 0.024716 Dx1 Start Jt. 2 6.926817 8.75802
0 0 0 0 2 -0.003382 Dy2 Start Jt. 2 5.996103 11.37311
1 0 0 0 3 -0.001028 qz3 Start Jt. 2 253.9903 424.9786
0 0.988372 0.152057 0 4 0.0456 Dx4 End Jt. 3 Ax-6.926817 -6.75802
0 -0.152057 0.988372 0 5 -0.162657 Dy5 End Jt. 3 S -5.996103 1.626894
0 0 0 1 6 0.000133 qz6 End Jt. 3 515.1582 344.1699

0 0 0 0 1 0.0456 Dx4 Start Jt. 3 6.926817 6.934519
0 0 0 0 2 -0.162657 Dy5 Start Jt. 3 -7.156844 0.479651
1 0 0 0 3 0.000133 qz6 Start Jt. 3 -515.1582 -344.1699
0 0.988372 -0.152057 0 4 0.066353 Dx7 End Jt. 4 Ax-6.926817 -8.934519
0 0.152057 0.988372 0 5 -0.003694 Dy8 End Jt. 4 S 7.156844 12.52035
0 0 0 1 6 0.000489 qz9 End Jt. 4 -435.0658 -606.0541

0 0 0 0 1 0 Dx13 Start Jt. 5 -6.926817 13.73332
0 0 0 0 2 0 Dy14 Start Jt. 5 13.73332 6.926817
1 0 0 0 3 0 qz15 Start Jt. 5 474.5293 474.5293
0 0 1 0 4 0.066353 Dx7 End Jt. 4 Ax6.926817 -13.73332
0 -1 0 0 5 -0.003694 Dy8 End Jt. 4 S -13.73332 -6.926817
0 0 0 1 6 0.000489 qz9 End Jt. 4 606.0541 606.0541
10 1 2 3
-5169.379 -66.27409 0 -5169.379 12
0 0 -3717.949 0 13
537615.4 5169.379 0 268807.7 10
5169.379 66.27409 0 5169.379 1
0 0 3717.949 0 2
268807.7 5169.379 0 537615.4 3
3 4 5 6
-649.9785 -2119.205 -317.6985 -649.9785 1
4224.861 -317.6985 -103.0416 4224.861 2
449785.2 649.9785 -4224.861 224892.6 3
649.9785 2119.205 317.6985 649.9785 4
-4224.861 317.6985 103.0416 -4224.861 5
224892.6 649.9785 -4224.861 449785.2 6
6 7 8 9
649.9785 -2119.205 317.6985 649.9785 4 Gable Frame Case #2 - Joint 1 Pinned and Joint 5 Pinned
4224.861 317.6985 -103.0416 4224.861 5
449785.2 -649.9785 -4224.861 224892.6 6
-649.9785 2119.205 -317.6985 -649.9785 7
-4224.861 -317.6985 103.0416 -4224.861 8
224892.6 -649.9785 -4224.861 449785.2 9
11 7 8 9
-5169.379 -66.27409 0 -5169.379 14
0 0 -3717.949 0 15
537615.4 5169.379 0 268807.7 11
5169.379 66.27409 0 5169.379 7
0 0 3717.949 0 8
268807.7 5169.379 0 537615.4 9

3 4 5 6 7 8 9 10 11 12
4519.4 -2119.205 -317.6985 -649.9785 0 0 0 5169.379 0 -66.27409
4224.861 -317.6985 -103.0416 4224.861 0 0 0 0 0 0
987400.5 649.9785 -4224.861 224892.6 0 0 0 268807.7 0 -5169.379
649.9785 4238.411 0 1299.957 -2119.205 317.6985 649.9785 0 0 0
-4224.861 0 206.0832 0 317.6985 -103.0416 4224.861 0 0 0
224892.6 1299.957 0 899570.3 -649.9785 -4224.861 224892.6 0 0 0
0 -2119.205 317.6985 -649.9785 2185.479 -317.6985 4519.4 0 5169.379 0
0 317.6985 -103.0416 -4224.861 -317.6985 3820.99 -4224.861 0 0 0
0 649.9785 4224.861 224892.6 4519.4 -4224.861 987400.5 0 268807.7 0
268807.7 0 0 0 0 0 0 537615.4 0 -5169.379
0 0 0 0 5169.379 0 268807.7 0 537615.4 0
-5169.379 0 0 0 0 0 0 -5169.379 0 66.27409
0 0 0 0 0 0 0 0 0 0
0 0 0 0 -66.27409 0 -5169.379 0 -5169.379 0
0 0 0 0 0 -3717.949 0 0 0 0

3 4 5 6 7 8 9 10 11
-0.000224 0.066444 0.001924 0.000115 0.065875 -0.000134 -0.00024 -0.000531 -0.000513 1
-8.62E-07 0.000155 0.000134 -8.62E-07 0.000134 0 -8.62E-07 -8.62E-07 -8.62E-07 2
2.36E-06 -0.000232 6.15E-05 -7.35E-07 -0.00024 8.62E-07 6.16E-07 9.71E-07 2E-06 3
-0.000232 0.06674 3.77E-16 0.000114 0.066444 -0.000155 -0.000232 -0.000523 -0.000523 4
6.15E-05 2.08E-16 0.013441 3.82E-19 -0.001924 0.000134 -6.15E-05 -4.93E-05 4.93E-05 5
-7.35E-07 0.000114 6.46E-19 1.49E-06 0.000115 8.62E-07 -7.35E-07 -7.35E-07 -7.35E-07 6
-0.00024 0.066444 -0.001924 0.000115 0.066901 -0.000134 -0.000224 -0.000513 -0.000531 7
8.62E-07 -0.000155 0.000134 8.62E-07 -0.000134 0.000269 8.62E-07 8.62E-07 8.62E-07 8
6.16E-07 -0.000232 -6.15E-05 -7.35E-07 -0.000224 8.62E-07 2.36E-06 2E-06 9.71E-07 9
9.71E-07 -0.000523 -4.93E-05 -7.35E-07 -0.000513 8.62E-07 2E-06 6.48E-06 3.93E-06 10
2E-06 -0.000523 4.93E-05 -7.35E-07 -0.000531 8.62E-07 9.71E-07 3.93E-06 6.48E-06 11

Rx12 1.606852 kips
Ry13 11.52795 kips
Rx14 -4.856852 kips
Ry15 14.77795 kips
q = k' * D * T D k' * D k' * D * T

0 0 0 0 1 0 Dx12 Start Jt. 1 1.606852 11.52795
0 0 0 0 2 0 Dy13 Start Jt. 1 11.52795 -1.606852
1 0 0 0 3 -0.000902 qz10 Start Jt. 1 0 0
0 0 1 0 4 0.189265 Dx1 End Jt. 2 Ax-1.606852 -11.52795
0 -1 0 0 5 -0.003101 Dy2 End Jt. 2 S -11.52795 1.606852
0 0 0 1 6 -0.001835 qz3 End Jt. 2 -250.6689 -250.6689

0 0 0 0 1 0.189265 Dx1 Start Jt. 2 4.856852
0 0 0 0 2 -0.003101 Dy2 Start Jt. 2 4.951473 10.65538
1 0 0 0 3 -0.001835 qz3 Start Jt. 2 79.6806 250.6689
0 0.988372 0.152057 0 4 0.215944 Dx4 End Jt. 3 Ax-4.856852 -4.553282
0 -0.152057 0.988372 0 5 -0.193359 Dy5 End Jt. 3 S -4.951473 2.344623
0 0 0 1 6 0.000373 qz6 End Jt. 3 576.1848 405.1965

0 0 0 0 1 0.215944 Dx4 Start Jt. 3 4.856852 5.047468
0 0 0 0 2 -0.193359 Dy5 Start Jt. 3 -8.201473 -0.867585
1 0 0 0 3 0.000373 qz6 Start Jt. 3 -576.1848 -405.1965
0 0.988372 -0.152057 0 4 0.242258 Dx7 End Jt. 4 Ax-4.856852 -7.047468
0 0.152057 0.988372 0 5 -0.003975 Dy8 End Jt. 4 S 8.201473 13.86758
0 0 0 1 6 0.000326 qz9 End Jt. 4 -586.6806 -757.6689

0 0 0 0 1 0 Dx14 Start Jt. 5 -4.856852 14.77795
0 0 0 0 2 0 Dy15 Start Jt. 5 14.77795 4.856852
1 0 0 0 3 -0.002492 qz11 Start Jt. 5 0 0
0 0 1 0 4 0.242258 Dx7 End Jt. 4 Ax4.856852 -14.77795
0 -1 0 0 5 -0.003975 Dy8 End Jt. 4 S -14.77795 -4.856852
0 0 0 1 6 0.000326 qz9 End Jt. 4 757.6689 757.6689
13 1 2 3
-5169.379 -66.27409 0 -5169.379 11
0 0 -3717.949 0 12
537615.4 5169.379 0 268807.7 13
5169.379 66.27409 0 5169.379 1
0 0 3717.949 0 2
268807.7 5169.379 0 537615.4 3
3 4 5 6
-649.9785 -2119.205 -317.6985 -649.9785 1
4224.861 -317.6985 -103.0416 4224.861 2
449785.2 649.9785 -4224.861 224892.6 3
649.9785 2119.205 317.6985 649.9785 4
-4224.861 317.6985 103.0416 -4224.861 5
224892.6 649.9785 -4224.861 449785.2 6
6 7 8 9
649.9785 -2119.205 317.6985 649.9785 4 Gable Frame Case #3 - Joint 1 Fixed and Joint 5 Pinned:
4224.861 317.6985 -103.0416 4224.861 5
449785.2 -649.9785 -4224.861 224892.6 6
-649.9785 2119.205 -317.6985 -649.9785 7
-4224.861 -317.6985 103.0416 -4224.861 8
224892.6 -649.9785 -4224.861 449785.2 9
10 7 8 9
-5169.379 -66.27409 0 -5169.379 14
0 0 -3717.949 0 15
537615.4 5169.379 0 268807.7 10
5169.379 66.27409 0 5169.379 7
0 0 3717.949 0 8
268807.7 5169.379 0 537615.4 9

3 4 5 6 7 8 9 10 11 12
4519.4 -2119.205 -317.6985 -649.9785 0 0 0 0 -66.27409 0
4224.861 -317.6985 -103.0416 4224.861 0 0 0 0 0 -3717.949
987400.5 649.9785 -4224.861 224892.6 0 0 0 0 -5169.379 0
649.9785 4238.411 0 1299.957 -2119.205 317.6985 649.9785 0 0 0
-4224.861 0 206.0832 0 317.6985 -103.0416 4224.861 0 0 0
224892.6 1299.957 0 899570.3 -649.9785 -4224.861 224892.6 0 0 0
0 -2119.205 317.6985 -649.9785 2185.479 -317.6985 4519.4 5169.379 0 0
0 317.6985 -103.0416 -4224.861 -317.6985 3820.99 -4224.861 0 0 0
0 649.9785 4224.861 224892.6 4519.4 -4224.861 987400.5 268807.7 0 0
0 0 0 0 5169.379 0 268807.7 537615.4 0 0
-5169.379 0 0 0 0 0 0 0 66.27409 0
0 0 0 0 0 0 0 0 0 3717.949
268807.7 0 0 0 0 0 0 0 -5169.379 0
0 0 0 0 -66.27409 0 -5169.379 -5169.379 0 0
0 0 0 0 0 -3717.949 0 0 0 0

3 4 5 6 7 8 9 10
-0.000144 0.02361 -0.002114 5.44E-05 0.023817 -6.38E-05 -7.62E-05 -0.000191 1
-7.33E-07 8.57E-05 0.000128 -9.6E-07 6.63E-05 1.15E-07 -6E-07 -3.39E-07 2
2.21E-06 -0.000154 6.89E-05 -6.25E-07 -0.000164 7.33E-07 3.16E-07 1.42E-06 3
-0.000154 0.024611 -0.003971 5.51E-05 0.025079 -8.57E-05 -7.09E-05 -0.000206 4
6.89E-05 -0.003971 0.013067 -5.59E-06 -0.005823 0.000141 -4.63E-05 7.91E-05 5
-6.25E-07 5.51E-05 -5.59E-06 1.4E-06 5.65E-05 9.6E-07 -5.08E-07 -2.89E-07 6
-0.000164 0.025079 -0.005823 5.65E-05 0.026285 -6.63E-05 -6.51E-05 -0.00022 7
7.33E-07 -8.57E-05 0.000141 9.6E-07 -6.63E-05 0.000269 5.96E-07 3.39E-07 8
3.16E-07 -7.09E-05 -4.63E-05 -5.08E-07 -6.51E-05 5.96E-07 1.74E-06 -2.44E-07 9
1.42E-06 -0.000206 7.91E-05 -2.89E-07 -0.00022 3.39E-07 -2.44E-07 4.1E-06 10

Rx11 1.144535 kips
Ry12 11.97402 kips
Mz13 139.174 in-kips 11.59783
Rx14 -4.394535 kips
RY15 14.33188 kips
q = k' * D * T D k' * D k' * D * T

0 0 0 0 1 0 Dx11 Start Jt. 1 1.144535 11.97402
0 0 0 0 2 0 Dy12 Start Jt. 1 11.97402 -1.144535
1 0 0 0 3 0 qz13 Start Jt. 1 139.174 139.174
0 0 1 0 4 0.115308 Dx1 End Jt. 2 Ax-1.144535 -11.97402
0 -1 0 0 5 -0.003221 Dy2 End Jt. 2 S -11.97402 1.144535
0 0 0 1 6 -0.0017 qz3 End Jt. 2 -317.7215 -317.7215

0 0 0 0 1 0.115308 Dx1 Start Jt. 2 4.394535 6.16417
0 0 0 0 2 -0.003221 Dy2 Start Jt. 2 5.397544 11.16656
1 0 0 0 3 -0.0017 qz3 Start Jt. 2 146.7332 317.7215
0 0.988372 0.152057 0 4 0.143205 Dx4 End Jt. 3 Ax-4.394535 -4.16417
0 -0.152057 0.988372 0 5 -0.200216 Dy5 End Jt. 3 S -5.397544 1.833441
0 0 0 1 6 0.00027 qz6 End Jt. 3 589.8148 418.8265

0 0 0 0 1 0.143205 Dx4 Start Jt. 3 4.394535 4.522699
0 0 0 0 2 -0.200216 Dy5 Start Jt. 3 -7.755403 -0.497
1 0 0 0 3 0.00027 qz6 Start Jt. 3 -589.8148 -418.8265
0 0.988372 -0.152057 0 4 0.170837 Dx7 End Jt. 4 Ax-4.394535 -6.522699
0 0.152057 0.988372 0 5 -0.003855 Dy8 End Jt. 4 S 7.755403 13.497
0 0 0 1 6 0.000605 qz9 End Jt. 4 -514.5592 -685.5475

0 0 0 0 1 0 Dx14 Start Jt. 5 -4.394535 14.33188
0 0 0 0 2 0 Dy15 Start Jt. 5 14.33188 4.394535
1 0 0 0 3 -0.001945 qz10 Start Jt. 5 0 0
0 0 1 0 4 0.170837 Dx7 End Jt. 4 Ax4.394535 -14.33188
0 -1 0 0 5 -0.003855 Dy8 End Jt. 4 S -14.33188 -4.394535
0 0 0 1 6 0.000605 qz9 End Jt. 4 685.5475 685.5475
10 1 2 3
-5169.379 -66.27409 0 -5169.379 11
0 0 -3717.949 0 12
537615.4 5169.379 0 268807.7 10
5169.379 66.27409 0 5169.379 1
0 0 3717.949 0 2
268807.7 5169.379 0 537615.4 3
3 4 5 6
-649.9785 -2119.205 -317.6985 -649.9785 1
4224.861 -317.6985 -103.0416 4224.861 2
449785.2 649.9785 -4224.861 224892.6 3
649.9785 2119.205 317.6985 649.9785 4
-4224.861 317.6985 103.0416 -4224.861 5
224892.6 649.9785 -4224.861 449785.2 6
6 7 8 9
649.9785 -2119.205 317.6985 649.9785 4 Gable Frame Case #4 - Joint 1 Pinned and Joint 5 Fixed:
4224.861 317.6985 -103.0416 4224.861 5
449785.2 -649.9785 -4224.861 224892.6 6
-649.9785 2119.205 -317.6985 -649.9785 7
-4224.861 -317.6985 103.0416 -4224.861 8
224892.6 -649.9785 -4224.861 449785.2 9
15 7 8 9
-5169.379 -66.27409 0 -5169.379 13
0 0 -3717.949 0 14
537615.4 5169.379 0 268807.7 15
5169.379 66.27409 0 5169.379 7
0 0 3717.949 0 8
268807.7 5169.379 0 537615.4 9

3 4 5 6 7 8 9 10 11 12
4519.4 -2119.205 -317.6985 -649.9785 0 0 0 5169.379 -66.27409 0
4224.861 -317.6985 -103.0416 4224.861 0 0 0 0 0 -3717.949
987400.5 649.9785 -4224.861 224892.6 0 0 0 268807.7 -5169.379 0
649.9785 4238.411 0 1299.957 -2119.205 317.6985 649.9785 0 0 0
-4224.861 0 206.0832 0 317.6985 -103.0416 4224.861
224892.6 1299.957 0 899570.3 -649.9785 -4224.861 224892.6 0 0 0
0 -2119.205 317.6985 -649.9785 2185.479 -317.6985 4519.4 0 0 0
0 317.6985 -103.0416 -4224.861 -317.6985 3820.99 -4224.861 0 0 0
0 649.9785 4224.861 224892.6 4519.4 -4224.861 987400.5 0 0 0
268807.7 0 0 0 0 0 0 537615.4 -5169.379 0
-5169.379 0 0 0 0 0 0 -5169.379 66.27409 0
0 0 0 0 0 0 0 0 0 3717.949
0 0 0 0 -66.27409 0 -5169.379 0 0 0
0 0 0 0 0 -3717.949 0 0 0 0
0 0 0 0 5169.379 0 268807.7 0 0 0

3 4 5 6 7 8 9 10
#VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! #VALUE! 1

Rx11 #VALUE! kips
Ry12 #VALUE! kips
Rx13 #VALUE! kips
RY14 #VALUE! kips
Mz15 #VALUE! in-kips #VALUE!
q = k' * D * T D k' * D k' * D * T


0 0.988372 0.152057 0 4 #VALUE! Dx4 End Jt. 3 Ax #VALUE! #VALUE!
0 -0.152057 0.988372 0 5 #VALUE! Dy5 End Jt. 3 S #VALUE! #VALUE!

0 0.988372 -0.152057 0 4 #VALUE! Dx7 End Jt. 4 Ax #VALUE! #VALUE!
0 0.152057 0.988372 0 5 #VALUE! Dy8 End Jt. 4 S #VALUE! #VALUE!

1 0 0 0 3 0 qz15 Start Jt. 5 #VALUE! #VALUE!

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--- --- --- --- --- --- --- --- --- ---
0 0 0 0 0 0 0 0 0 0
-0.26 -0.034198 -1.69E-10 1.11E-11 0 0 0 0 0 0
0 0 0 0 0 0 0
Distributed Load #4 Distributed Load #5
wb (k/ft.) e (ft.) we (k/ft.) b (ft.) wb (k/ft.) e (ft.) we (k/ft.)
0 0 0 0 0 0 0
0 0 0 0 0 0 0
0 0 0 0 0 0 0
0 0 0 0 0 0 0
0 0 0 0 0 0 0
0 0 0 0 0 0 0
0 0 0 0 0 0 0
0 0 0 0 0 0 0
0 0 0 0 0 0 0
0 0 0 0 0 0 0
Point Load #7 Point Load #8 Point Load #9 Point Load #10

P (kips) a (ft.) P (kips) a (ft.) P (kips) a (ft.) P (kips)
0 0 0 0 0 0 0
0 0 0 0 0 0 0
0 0 0 0 0 0 0
0 0 0 0 0 0 0
0 0 0 0 0 0 0
0 0 0 0 0 0 0
0 0 0 0 0 0 0
0 0 0 0 0 0 0
0 0 0 0 0 0 0
0 0 0 0 0 0 0
--- --- --- --- --- --- --- --- ---
--- --- --- --- 0 --- --- --- --- ---
--- --- --- --- --- --- --- --- --- ---
--- --- --- --- --- --- --- --- --- ---
--- --- --- --- --- --- --- --- --- ---
--- --- --- --- --- --- --- --- --- ---
--- --- --- --- --- --- --- --- --- ---
--- --- --- --- --- --- --- --- ---
--- --- --- --- --- --- --- --- --- ---
--- --- --- --- --- --- --- --- --- ---
--- --- --- --- --- --- --- --- --- ---
--- --- --- --- --- --- --- --- --- ---
--- --- --- --- --- --- --- --- --- ---
--- --- --- --- --- --- --- --- --- ---
--- --- --- --- --- --- --- --- --- ---
--- --- --- --- --- --- --- --- --- ---
--- --- --- --- --- --- --- --- --- ---
--- --- --- --- --- --- --- --- --- ---
--- --- --- --- --- --- --- --- ---
--- --- --- --- --- --- --- --- --- ---

13 14 15 Displacements Vector, D:
0 0 0 1 Dx1 = ?
0 0 0 2 Dy2 = ?
0 0 0 3 qz3 = ?
0 0 0 4 Dx4 = ?
0 0 0 5 Dy5 = ? = Du
0 0 0 6 qz6 = ?
-66.27409 0 5169.379 7 Dx7 = ?
0 -3717.949 0 8 Dy8 = ?
-5169.379 0 268807.7 9 qz9 = ?
0 0 0 10 0 Dx10 = 0
0 0 0 11 0 Dy11 = 0
0 0 0 12 0 qz12 = 0 = Dk
66.27409 0 -5169.379 13 0 Dx13 = 0
0 3717.949 0 14 0 Dy14 = 0
-5169.379 0 537615.4 15 0 qz15 = 0
#1 End Forces:
kips
kips
in-kips -12.38374
kips
kips
in-kips -35.41488
#2 End Forces:
kips
kips
in-kips 35.41488
kips
kips
in-kips 28.68082
#3 End Forces:
kips
kips
in-kips -28.68082
kips
kips
in-kips -50.50451
#4 End Forces:
kips
kips
in-kips 39.54411
kips
kips
in-kips 50.50451
0 0 0 1 Dx1 = ?
-3717.949 0 0 2 Dy2 = ?
0 0 0 3 qz3 = ?
0 0 0 4 Dx4 = ?
0 0 0 5 Dy5 = ?
0 0 0 6 qz6 = ? = Du
0 -66.27409 0 7 Dx7 = ?
0 0 -3717.949 8 Dy8 = ?
0 -5169.379 0 9 qz9 = ?
0 0 0 10 qz10 = ?
0 -5169.379 0 11 qz11 = ?
0 0 0 12 0 Dx12 = 0
3717.949 0 0 13 0 Dy13 = 0 = Dk
0 66.27409 0 14 0 Dx14 = 0
0 0 3717.949 15 0 Dy15 = 0
#1 End Forces:
kips
kips
in-kips 0
kips
kips
in-kips -20.88908
#2 End Forces:
kips
kips
in-kips 20.88908
kips
kips
in-kips 33.76637
#3 End Forces:
kips
kips
in-kips -33.76637
kips
kips
in-kips -63.13908
#4 End Forces:
kips
kips
in-kips 0
kips
kips
in-kips 63.13908
5169.379 0 0 1 Dx1 = ?
0 0 0 2 Dy2 = ?
268807.7 0 0 3 qz3 = ?
0 0 0 4 Dx4 = ?
0 0 0 5 Dy5 = ? = Du
0 0 0 6 qz6 = ?
0 -66.27409 0 7 Dx7 = ?
0 0 -3717.949 8 Dy8 = ?
0 -5169.379 0 9 qz9 = ?
0 -5169.379 0 10 qz10 = ?
-5169.379 0 0 11 0 Dx11 = 0
0 0 0 12 0 Dy12 = 0
537615.4 0 0 13 0 qz13 = 0 = Dk
0 66.27409 0 14 0 Dx14 = 0
0 0 3717.949 15 0 Dy15 = 0
#1 End Forces:
kips
kips
in-kips 11.59783
kips
kips
in-kips -26.47679
#2 End Forces:
kips
kips
in-kips 26.47679
kips
kips
in-kips 34.90221
#3 End Forces:
kips
kips
in-kips -34.90221
kips
kips
in-kips -57.12896
#4 End Forces:
kips
kips
in-kips 0
kips
kips
in-kips 57.12896
0 0 0 1 Dx1 = ?
0 0 0 2 Dy2 = ?
0 0 0 3 qz3 = ?
0 0 0 4 Dx4 = ?
Dy5 = ? = Du
0 0 0 6 qz6 = ?
-66.27409 0 5169.379 7 Dx7 = ?
0 -3717.949 0 8 Dy8 = ?
-5169.379 0 268807.7 9 qz9 = ?
0 0 0 10 qz10 = ?
0 0 0 11 0 Dx11 = 0
0 0 0 12 0 Dy12 = 0
66.27409 0 -5169.379 13 0 Dx13 = 0 = Dk
0 3717.949 0 14 0 Dy14 = 0
-5169.379 0 537615.4 15 0 qz15 = 0
#1 End Forces:
kips
kips
in-kips #VALUE!
kips
kips
in-kips #VALUE!
#2 End Forces:
kips
kips
in-kips #VALUE!
kips
kips
in-kips #VALUE!
#3 End Forces:
kips
kips
in-kips #VALUE!
kips
kips
in-kips #VALUE!
#4 End Forces:
kips
kips
in-kips #VALUE!
kips
kips
in-kips #VALUE!

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0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
--- --- --- --- --- --- --- --- --- ---
--- --- --- --- --- --- --- --- --- ---
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--- --- --- --- --- --- --- --- --- ---
--- --- --- --- --- --- --- --- --- ---
--- --- --- --- --- --- --- --- --- ---
--- --- --- --- --- --- --- --- --- ---
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
--- --- --- --- --- --- 0 0 0 0
--- --- --- --- --- --- 0 0 0 0
--- --- --- --- --- --- 0 0 0 0
--- --- --- --- --- --- 0 0 0 0
--- --- --- --- --- --- 0 0 0 0
--- --- --- --- --- --- 0 0 0 0
--- --- --- --- --- --- 0 0 0 0
--- --- --- --- --- --- 0 0 0 0
--- --- --- --- --- --- 0 0 0 0
--- --- --- --- --- --- 0 0 0 0
--- --- --- --- --- --- 0 0 0 0
--- --- --- --- --- --- 0 0 0 0
--- --- --- --- --- --- 0 0 0 0
--- --- --- --- --- --- 0 0 0 0
--- --- --- --- --- 0 0 0 0
--- 0 --- --- --- --- 0 0 0 0
--- --- --- --- --- --- 0 0 0 0
--- --- --- --- --- --- 0 0 0 0
--- --- --- --- --- --- 0 0 0 0
--- --- --- --- --- --- 0 0 0 0
--- --- --- --- --- --- 0 0 0 0
--- --- --- --- --- --- 0 0 0 0
--- --- --- --- --- --- 0 0 0 0
--- --- --- --- --- --- 0 0 0 0
--- --- --- --- --- --- 0 0 0 0
--- --- --- --- --- --- 0 0 0 0
--- --- --- --- --- --- 0 0 0 0
--- --- --- --- --- --- 0 0 0 0
--- --- --- --- --- --- 0 0 0 0
--- --- --- --- --- --- 0 0 0 0
--- --- --- --- --- --- 0 0 0 0
--- --- --- --- --- --- 0 0 0 0
--- --- --- --- --- --- 0 0 0 0
--- --- --- --- --- --- 0 0 0 0
--- --- --- --- --- --- 0 0 0 0
--- --- --- --- --- --- 0 0 0 0
--- --- --- --- --- --- 0 0 0 0
--- --- --- --- --- --- 0 0 0 0
--- --- --- --- --- --- 0 0 0 0
--- --- --- --- --- --- 0 0 0 0
--- --- --- --- --- --- 0 0 0 0
--- --- --- --- --- --- 0 0 0 0
--- --- --- --- --- --- 0 0 0 0
--- --- --- --- --- --- 0 0 0 0
--- --- --- --- --- --- 0 0 0 0
--- --- --- --- --- --- 0 0 0 0
--- --- --- --- --- --- 0 0 0 0
--- --- --- --- --- --- 0 0 0 0
--- --- --- --- --- --- 0 0 0 0
--- --- --- --- --- --- 0 0 0 0
--- --- --- --- --- --- 0 0 0 0
--- --- --- --- --- --- 0 0 0 0
--- --- --- --- --- --- 0 0 0 0
--- --- --- --- --- --- 0 0 0 0
--- --- --- --- --- --- 0 0 0 0
--- --- --- --- --- --- 0 0 0 0
--- --- --- --- --- --- 0 0 0 0
--- --- --- --- --- --- 0 0 0 0
--- --- --- --- --- --- 0 0 0 0
--- --- --- --- --- --- 0 0 0 0
--- --- --- --- --- --- 0 0 0 0
--- --- --- --- --- --- 0 0 0 0
--- --- --- --- --- --- 0 0 0 0
--- --- --- --- --- --- 0 0 0 0
--- --- --- --- --- --- 0 0 0 0
--- --- --- --- --- --- 0 0 0 0
--- --- --- --- --- --- 0 0 0 0
--- --- --- --- --- --- 0 0 0 0
--- --- --- --- --- --- 0 0 0 0
--- --- --- --- --- --- 0 0 0 0
--- --- --- --- --- --- 0 0 0 0
--- --- --- --- --- --- 0 0 0 0
--- --- --- --- --- --- 0 0 0 0
--- --- --- --- --- --- 0 0 0 0
--- --- --- --- --- --- 0 0 0 0
--- --- --- --- --- --- 0 0 0 0
--- --- --- --- --- --- 0 0 0 0
--- --- --- --- --- --- 0 0 0 0
--- --- --- --- --- --- 0 0 0 0
--- --- --- --- --- --- 0 0 0 0
--- --- --- --- --- --- 0 0 0 0
--- --- --- --- --- --- 0 0 0 0
--- --- --- --- --- --- 0 0 0 0
--- --- --- --- --- --- 0 0 0 0
--- --- --- --- --- 0 0 0 0
--- --- --- --- --- 0 0 0 0
--- --- --- --- --- 0 0 0 0
--- --- --- --- --- 0 0 0 0
--- --- --- --- --- 0 0 0 0
--- --- --- --- --- 0 0 0 0
--- --- --- --- --- 0 0 0 0
--- --- --- --- --- 0 0 0 0
--- --- --- --- --- 0 0 0 0
FqL Fvx Fmx Fqx FDx FvL FmL FqL FDL
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
For All 4 Applied Moments
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 20.88908 0 0 0 0
0 0 0 0 0 20.88908 0 0 0 0
0 0 0 0 0 20.88908 0 0 0 0
0 0 0 0 0 20.88908 0 0 0 0
0 0 0 0 0 20.88908 0 0 0 0
0 0 0 0 0 20.88908 0 0 0 0
0 0 0 0 0 20.88908 0 0 0 0
0 0 0 0 0 20.88908 0 0 0 0
0 0 0 0 0 20.88908 0 0 0 0
0 0 0 0 0 20.88908 0 0 0 0
0 0 0 0 0 20.88908 0 0 0 0
0 0 0 0 0 20.88908 0 0 0 0
0 0 0 0 0 20.88908 0 0 0 0
0 0 0 0 0 20.88908 0 0 0 0
0 0 0 0 0 20.88908 0 0 0 0
0 0 0 0 0 20.88908 0 0 0 0
0 0 0 0 0 20.88908 0 0 0 0
0 0 0 0 0 20.88908 0 0 0 0
0 0 0 0 0 20.88908 0 0 0 0
0 0 0 0 0 20.88908 0 0 0 0
0 0 0 0 0 20.88908 0 0 0 0
0 0 0 0 0 20.88908 0 0 0 0
0 0 0 0 0 20.88908 0 0 0 0
0 0 0 0 0 20.88908 0 0 0 0
0 0 0 0 0 20.88908 0 0 0 0
0 0 0 0 0 20.88908 0 0 0 0
0 0 0 0 0 20.88908 0 0 0 0
0 0 0 0 0 20.88908 0 0 0 0
0 0 0 0 0 20.88908 0 0 0 0
0 0 0 0 0 20.88908 0 0 0 0
0 0 0 0 0 20.88908 0 0 0 0
0 0 0 0 0 20.88908 0 0 0 0
0 0 0 0 0 20.88908 0 0 0 0
0 0 0 0 0 20.88908 0 0 0 0
0 0 0 0 0 20.88908 0 0 0 0
0 0 0 0 0 20.88908 0 0 0 0
0 0 0 0 0 20.88908 0 0 0 0
0 0 0 0 0 20.88908 0 0 0 0
0 0 0 0 0 20.88908 0 0 0 0
0 0 0 0 0 20.88908 0 0 0 0
0 0 0 0 0 20.88908 0 0 0 0
0 0 0 0 0 20.88908 0 0 0 0
0 0 0 0 0 20.88908 0 0 0 0
0 0 0 0 0 20.88908 0 0 0 0
0 0 0 0 0 20.88908 0 0 0 0
0 0 0 0 0 20.88908 0 0 0 0
0 0 0 0 0 20.88908 0 0 0 0
0 0 0 0 0 20.88908 0 0 0 0
0 0 0 0 0 20.88908 0 0 0 0
0 0 0 0 0 20.88908 0 0 0 0
0 0 0 0 0 20.88908 0 0 0 0
0 0 0 0 0 20.88908 0 0 0 0
0 0 0 0 0 20.88908 0 0 0 0
0 0 0 0 0 20.88908 0 0 0 0
0 0 0 0 0 20.88908 0 0 0 0
0 0 0 0 0 20.88908 0 0 0 0
0 0 0 0 0 20.88908 0 0 0 0
0 0 0 0 0 20.88908 0 0 0 0
0 0 0 0 0 20.88908 0 0 0 0
0 0 0 0 0 20.88908 0 0 0 0
0 0 0 0 0 20.88908 0 0 0 0
0 0 0 0 0 20.88908 0 0 0 0
0 0 0 0 0 20.88908 0 0 0 0
0 0 0 0 0 20.88908 0 0 0 0
0 0 0 0 0 20.88908 0 0 0 0
0 0 0 0 0 20.88908 0 0 0 0
0 0 0 0 0 20.88908 0 0 0 0
0 0 0 0 0 20.88908 0 0 0 0
0 0 0 0 0 20.88908 0 0 0 0
0 0 0 0 0 20.88908 0 0 0 0
0 0 0 0 0 20.88908 0 0 0 0
0 0 0 0 0 20.88908 0 0 0 0
0 0 0 0 0 20.88908 0 0 0 0
0 0 0 0 0 -54.65545 -1.55E-05 0.000102 0 -20.88908
0 0 0 0 0 -54.65545 -1.55E-05 0.000102 0 -20.88908
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
0 0 -13 -85.49415 -2.11E-05 6.94E-05 0 0 0 0
0 0 -13 -85.49415 -2.11E-05 6.94E-05 -13 -85.49415 -2.11E-05 6.94E-05
0 0 -2 -13.15295 -3.25E-06 1.07E-05 0 0 0 0
0 0 -2 -13.15295 -3.25E-06 1.07E-05 -2 -13.15295 -3.25E-06 1.07E-05
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
0 -13 -85.49415 -2.11E-05 6.94E-05 0 0 0 0
0 0 -13 -85.49415 -2.11E-05 6.94E-05 -13 -85.49415 -2.11E-05 6.94E-05
0 0 2 13.15295 3.25E-06 -1.07E-05 0 0 0 0
0 0 2 13.15295 3.25E-06 -1.07E-05 2 13.15295 3.25E-06 -1.07E-05
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
0 0 0 20.88908 0 0 0 0 0 0
0 0 0 20.88908 0 0 0 0 0 0
0 0 0 20.88908 0 0 0 0 0 0
0 0 0 20.88908 0 0 0 0 0 0
0 0 0 20.88908 0 0 0 0 0 0
0 0 0 20.88908 0 0 0 0 0 0
0 0 0 20.88908 0 0 0 0 0 0
0 0 0 20.88908 0 0 0 0 0 0
0 0 0 20.88908 0 0 0 0 0 0
0 0 0 20.88908 0 0 0 0 0 0
0 0 0 20.88908 0 0 0 0 0 0
0 0 0 20.88908 0 0 0 0 0 0
0 0 0 20.88908 0 0 0 0 0 0
0 0 0 20.88908 0 0 0 0 0 0
0 0 0 20.88908 0 0 0 0 0 0
0 0 0 20.88908 0 0 0 0 0 0
0 0 0 20.88908 0 0 0 0 0 0
0 0 0 20.88908 0 0 0 0 0 0
0 0 0 20.88908 0 0 0 0 0 0
0 0 0 20.88908 0 0 0 0 0 0
0 0 0 20.88908 0 0 0 0 0 0
0 0 0 20.88908 0 0 0 0 0 0
0 0 0 20.88908 0 0 0 0 0 0
0 0 0 20.88908 0 0 0 0 0 0
0 0 0 20.88908 0 0 0 0 0 0
0 0 0 20.88908 0 0 0 0 0 0
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0 0 0 20.88908 0 0 0 0 0 0
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0 0 0 20.88908 0 0 0 0 0 0
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0 0 0 20.88908 0 0 0 0 0 0
0 0 0 20.88908 0 0 0 0 0 0
0 0 0 20.88908 0 0 0 0 0 0
0 0 0 20.88908 0 0 0 0 0 0
0 0 0 20.88908 0 0 0 0 0 0
0 0 0 20.88908 0 0 0 0 0 0
0 0 0 20.88908 0 0 0 0 0 0
0 0 0 20.88908 0 0 0 0 0 0
0 0 0 20.88908 0 0 0 0 0 0
0 0 0 20.88908 0 0 0 0 0 0
0 0 0 20.88908 0 0 0 0 0 0
0 0 0 20.88908 0 0 0 0 0 0
0 0 0 20.88908 0 0 0 0 0 0
0 0 0 20.88908 0 0 0 0 0 0
0 0 0 20.88908 0 0 0 0 0 0
0 0 0 20.88908 0 0 0 0 0 0
0 0 0 20.88908 0 0 0 0 0 0
0 0 0 20.88908 0 0 0 0 0 0
0 0 0 20.88908 0 0 0 0 0 0
0 0 0 20.88908 0 0 0 0 0 0
0 0 0 20.88908 0 0 0 0 0 0
0 0 0 20.88908 0 0 0 0 0 0
0 0 0 20.88908 0 0 0 0 0 0
0 0 0 20.88908 0 0 0 0 0 0
0 0 0 20.88908 0 0 0 0 0 0
0 0 0 20.88908 0 0 0 0 0 0
0 0 0 20.88908 0 0 0 0 0 0
0 0 0 20.88908 0 0 0 0 0 0
0 0 0 20.88908 0 0 0 0 0 0
0 0 0 20.88908 0 0 0 0 0 0
0 0 0 20.88908 0 0 0 0 0 0
0 0 0 20.88908 0 0 0 0 0 0
0 0 0 20.88908 0 0 0 0 0 0
0 0 0 20.88908 0 0 0 0 0 0
0 0 0 20.88908 0 0 0 0 0 0
0 0 0 20.88908 0 0 0 0 0 0
0 0 0 20.88908 0 0 0 0 0 0
0 0 0 20.88908 0 0 0 0 0 0
0 0 0 20.88908 0 0 0 0 0 0
0 0 0 20.88908 0 0 0 0 0 0
0 0 0 20.88908 0 0 0 0 0 0
0 0 -13 -140.1496 -3.66E-05 0.000171 0 -20.88908 0 0
-3.1E-07 4.07E-08 -13 -140.1496 -3.66E-05 0.000171 -0.26 -20.92327 -3.1E-07 4.07E-08
Initial Beam Parameters at Left End Member Fixed End Dist. From Left
with Loading Functions Evaluated at x = L End Reacti Moments End of Member
Vo Mo qo Do (kips) (ft-kips) x (ft.) Points:
0 0 0 0 0 0 0 Member #1 FEM(L):
0 0 0 0 0 0 13 Member #1 FEM(R):
6.5 -14.24903 0 0 6.5 -14.24903 0 Member #2(Y) FEM(L):
6.5 -14.24903 0 0 6.5 -14.24903 13.15295 Member #2(Y) FEM(R):
1 -2.192158 0 0 1 -2.192158 0 Member #2(Y) Axial(L):
1 -2.192158 0 0 1 -2.192158 13.15295 Member #2(Y) Axial(R):
0 0 0 0 0 0 0 Member #2(X) FEM(L):
0 0 0 0 0 0 13.15295 Member #2(X) FEM(R):
0 0 0 0 0 0 0 Member #2(X) Axial(L):
0 0 0 0 0 0 13.15295 Member #2(X) Axial(R):
6.5 -14.24903 0 0 6.5 -14.24903 0 Member #3(Y) FEM(L):
6.5 -14.24903 0 0 6.5 -14.24903 13.15295 Member #3(Y) FEM(R):
-1 2.192158 0 0 -1 2.192158 0 Member #3(Y) Axial(L):
-1 2.192158 0 0 -1 2.192158 13.15295 Member #3(Y) Axial(R):
0 0 0 0 0 0 0 Member #3(X) FEM(L):
0 0 0 0 0 0 13.15295 Member #3(X) FEM(R):
0 0 0 0 0 0 0 Member #3(X) Axial(L):
0 0 0 0 0 0 13.15295 Member #3(X) Axial(R):
0 0 0 0 0 0 0 Member #4 FEM(L):
0 0 0 0 0 0 13 Member #4 FEM(R):
-1.606852 0 2.16E-06 0 -1.606852 0 0.01781 0 0 1
-1.606852 0 2.16E-06 0 -1.606852 -0.417782 0.017788 0.000969 0.26 2
-1.606852 0 2.16E-06 0 -1.606852 -0.835563 0.017724 0.001937 0.52 3
-1.606852 0 2.16E-06 0 -1.606852 -1.253345 0.017617 0.002899 0.78 4
-1.606852 0 2.16E-06 0 -1.606852 -1.671126 0.017468 0.003854 1.04 5
-1.606852 0 2.16E-06 0 -1.606852 -2.088908 0.017276 0.004801 1.3 6
-1.606852 0 2.16E-06 0 -1.606852 -2.506689 0.01704 0.005735 1.56 7
-1.606852 0 2.16E-06 0 -1.606852 -2.924471 0.016763 0.006656 1.82 8
-1.606852 0 2.16E-06 0 -1.606852 -3.342252 0.016442 0.00756 2.08 9
-1.606852 0 2.16E-06 0 -1.606852 -3.760034 0.016079 0.008446 2.34 10
-1.606852 0 2.16E-06 0 -1.606852 -4.177815 0.015673 0.00931 2.6 11
-1.606852 0 2.16E-06 0 -1.606852 -4.595597 0.015224 0.010152 2.86 12
-1.606852 0 2.16E-06 0 -1.606852 -5.013378 0.014732 0.010968 3.12 13
-1.606852 0 2.16E-06 0 -1.606852 -5.43116 0.014198 0.011755 3.38 14
-1.606852 0 2.16E-06 0 -1.606852 -5.848941 0.013621 0.012513 3.64 15
-1.606852 0 2.16E-06 0 -1.606852 -6.266723 0.013001 0.013238 3.9 16
-1.606852 0 2.16E-06 0 -1.606852 -6.684504 0.012339 0.013928 4.16 17
-1.606852 0 2.16E-06 0 -1.606852 -7.102286 0.011633 0.014581 4.42 18
-1.606852 0 2.16E-06 0 -1.606852 -7.520067 0.010885 0.015194 4.68 19
-1.606852 0 2.16E-06 0 -1.606852 -7.937849 0.010095 0.015766 4.94 20
-1.606852 0 2.16E-06 0 -1.606852 -8.35563 0.009261 0.016293 5.2 21
-1.606852 0 2.16E-06 0 -1.606852 -8.773412 0.008385 0.016774 5.46 22
-1.606852 0 2.16E-06 0 -1.606852 -9.191193 0.007466 0.017205 5.72 23
-1.606852 0 2.16E-06 0 -1.606852 -9.608975 0.006504 0.017586 5.98 24
-1.606852 0 2.16E-06 0 -1.606852 -10.02676 0.0055 0.017913 6.24 25
-1.606852 0 2.16E-06 0 -1.606852 -10.44454 0.004452 0.018184 6.5 26
-1.606852 0 2.16E-06 0 -1.606852 -10.86232 0.003362 0.018397 6.76 27
-1.606852 0 2.16E-06 0 -1.606852 -11.2801 0.00223 0.01855 7.02 28
-1.606852 0 2.16E-06 0 -1.606852 -11.69788 0.001054 0.018639 7.28 29
-1.606852 0 2.16E-06 0 -1.606852 -12.11566 -0.000164 0.018664 7.54 30
-1.606852 0 2.16E-06 0 -1.606852 -12.53345 -0.001425 0.018621 7.8 31
-1.606852 0 2.16E-06 0 -1.606852 -12.95123 -0.002728 0.018508 8.06 32
-1.606852 0 2.16E-06 0 -1.606852 -13.36901 -0.004075 0.018323 8.32 33
-1.606852 0 2.16E-06 0 -1.606852 -13.78679 -0.005464 0.018063 8.58 34
-1.606852 0 2.16E-06 0 -1.606852 -14.20457 -0.006896 0.017727 8.84 35
-1.606852 0 2.16E-06 0 -1.606852 -14.62235 -0.008371 0.017311 9.1 36
-1.606852 0 2.16E-06 0 -1.606852 -15.04013 -0.009888 0.016814 9.36 37
-1.606852 0 2.16E-06 0 -1.606852 -15.45792 -0.011448 0.016234 9.62 38
-1.606852 0 2.16E-06 0 -1.606852 -15.8757 -0.013051 0.015567 9.88 39
-1.606852 0 2.16E-06 0 -1.606852 -16.29348 -0.014697 0.014812 10.14 40
-1.606852 0 2.16E-06 0 -1.606852 -16.71126 -0.016385 0.013965 10.4 41
-1.606852 0 2.16E-06 0 -1.606852 -17.12904 -0.018116 0.013026 10.66 42
-1.606852 0 2.16E-06 0 -1.606852 -17.54682 -0.01989 0.011992 10.92 43
-1.606852 0 2.16E-06 0 -1.606852 -17.9646 -0.021707 0.010859 11.18 44
-1.606852 0 2.16E-06 0 -1.606852 -18.38239 -0.023566 0.009627 11.44 45
-1.606852 0 2.16E-06 0 -1.606852 -18.80017 -0.025468 0.008292 11.7 46
-1.606852 0 2.16E-06 0 -1.606852 -19.21795 -0.027413 0.006852 11.96 47
-1.606852 0 2.16E-06 0 -1.606852 -19.63573 -0.0294 0.005306 12.22 48
-1.606852 0 2.16E-06 0 -1.606852 -20.05351 -0.031431 0.00365 12.48 49
-1.606852 0 2.16E-06 0 -1.606852 -20.47129 -0.033504 0.001882 12.74 50
-1.606852 0 2.16E-06 0 -1.606852 -20.88908 -0.03562 -7.46E-13 13 51
-1.606852 0 2.16E-06 0 -1.606852 1.61E-09 0.01781 -3.73E-12 -1E-09 52
-1.606852 0 2.16E-06 0 -1.606852 1.61E-09 0.01781 -3.73E-12 -1E-09 53
-1.606852 0 2.16E-06 0 -1.606852 1.61E-09 0.01781 -3.73E-12 -1E-09 54
-1.606852 0 2.16E-06 0 -1.606852 1.61E-09 0.01781 -3.73E-12 -1E-09 55
-1.606852 0 2.16E-06 0 -1.606852 1.61E-09 0.01781 -3.73E-12 -1E-09 56
-1.606852 0 2.16E-06 0 -1.606852 1.61E-09 0.01781 -3.73E-12 -1E-09 57
-1.606852 0 2.16E-06 0 -1.606852 1.61E-09 0.01781 -3.73E-12 -1E-09 58
-1.606852 0 2.16E-06 0 -1.606852 1.61E-09 0.01781 -3.73E-12 -1E-09 59
-1.606852 0 2.16E-06 0 -1.606852 1.61E-09 0.01781 -3.73E-12 -1E-09 60
-1.606852 0 2.16E-06 0 -1.606852 1.61E-09 0.01781 -3.73E-12 -1E-09 61
-1.606852 0 2.16E-06 0 -1.606852 1.61E-09 0.01781 -3.73E-12 -1E-09 62
-1.606852 0 2.16E-06 0 -1.606852 1.61E-09 0.01781 -3.73E-12 -1E-09 63
-1.606852 0 2.16E-06 0 -1.606852 -1.61E-09 0.01781 3.73E-12 1E-09 64
-1.606852 0 2.16E-06 0 -1.606852 -1.61E-09 0.01781 3.73E-12 1E-09 65
-1.606852 0 2.16E-06 0 -1.606852 -1.61E-09 0.01781 3.73E-12 1E-09 66
-1.606852 0 2.16E-06 0 -1.606852 -1.61E-09 0.01781 3.73E-12 1E-09 67
-1.606852 0 2.16E-06 0 -1.606852 0 0.01781 0 0 68
-1.606852 0 2.16E-06 0 -1.606852 -20.88908 -0.03562 7.46E-12 13 69
-1.606852 0 2.16E-06 0 -1.606852 0 0.01781 0 0 70
-1.606852 0 2.16E-06 0 -1.606852 -12.05139 2.63E-05 0.018664 7.5 71
-1.606852 0 2.16E-06 0 -1.606852 0 0.01781 0 0 72
-1.606852 0 2.16E-06 0 -1.606852 -12.05139 2.63E-05 0.018664 7.5 73

RL = -1.606852 RR = 1.606852
ML = 0 MR = -20.88908
+M(max) = 1.61E-09 x = 0
-M(max) = -20.88908 x = 13
-D(max) = -3.73E-12 x = 0
+D(max) = 0.018664 x = 7.5
M(max) = 20.88908 D(max) = 0.0187 = L/8342
-1.6069 kips 13 51
-1.6069 kips 13 52
0 ft.

0.0011 deg. 7.28 29
-0.0002 deg. 7.54 30
7.5 ft.
2.581973 0.000317
2.581973 0.000315
2.581973 0.000312
2.581973 0.000308
2.581973 0.000302
2.581973 0.000294
2.581973 0.000286
2.581973 0.000276
2.581973 0.000264
2.581973 0.000252
2.581973 0.000239
2.581973 0.000224
2.581973 0.000209
2.581973 0.000193
2.581973 0.000177
2.581973 0.00016
2.581973 0.000144
2.581973 0.000127
2.581973 0.00011
2.581973 9.35E-05
2.581973 7.77E-05
2.581973 6.26E-05
2.581973 4.86E-05
2.581973 3.58E-05
2.581973 2.45E-05
2.581973 1.5E-05
2.581973 7.5E-06
2.581973 2.35E-06
2.581973 -1.73E-07
2.581973 2.33E-07
2.581973 3.89E-06
2.581973 1.11E-05
2.581973 2.23E-05
2.581973 3.77E-05
2.581973 5.77E-05
2.581973 8.28E-05
2.581973 0.000113
2.581973 0.000149
2.581973 0.000192
2.581973 0.000241
2.581973 0.000297
2.581973 0.00036
2.581973 0.000432
2.581973 0.000512
2.581973 0.0006
2.581973 0.000698
2.581973 0.000806
2.581973 0.000924
2.581973 0.001053
2.581973 0.001193

-1.6069 kips 12.74 50
-1.6069 kips 13 51
0 ft.

0.0011 deg. 7.28 29
-0.0002 deg. 7.54 30
7.5 ft.
10.65538 0 -4.29E-06 0 10.65538 -20.88908 -0.035398 0 0 1
10.65538 0 -4.29E-06 0 10.39538 -18.12028 -0.037783 -0.002017 0.263059 2
AISC ShapA Ix Iy
W44x335 98.3 31100 1200
W44x290 85.8 27100 1050
W44x285 83.8 24600 490
W44x262 77.2 24200 927
W44x248 72.8 21400 435
W44x230 67.7 20800 796
W44x224 65.8 19200 391
W44x198 58 16700 336
W40x655 192 56500 2860
W40x593 174 50400 2520
W40x531 156 44300 2200
W40x503 148 41700 2050
W40x480 140 39500 1940
W40x466 137 36300 1010
W40x436 128 35400 1720
W40x431 127 34800 1690
W40x397 117 32000 1540
W40x392 115 29900 803
W40x372 109 29600 1420
W40x362 107 28900 1380
W40x331 97.5 24700 644
W40x328 96.4 26800 1660
W40x327 96 24500 640
W40x324 95.3 25600 1220
W40x321 94.1 25100 1190
W40x298 87.6 24200 1490
W40x297 87.4 23200 1090
W40x278 81.8 20500 521
W40x277 81.4 21900 1040
W40x268 78.8 21500 1320
W40x264 77.6 19400 493
W40x249 73.3 19600 926
W40x244 71.7 19200 1170
W40x235 69 17400 444
W40x221 64.8 16600 988
W40x215 63.4 16700 796
W40x211 62 15500 390
W40x199 58.5 14900 695
W40x192 56.5 13500 770
W40x183 53.8 13300 336
W40x174 51.1 12200 541
W40x167 49.2 11600 283
W40x149 43.8 9800 229
W36x848 249 67400 4550
W36x798 235 62600 4200
W36x720 211 55300 3680
W36x650 191 48900 3230
W36x588 172 43500 2850
W36x527 155 38300 2490
W36x485 142 34700 2250
W36x439 129 31000 1990
W36x393 116 27500 1750
W36x359 105 24800 1570
W36x328 96.4 22500 1420
W36x300 88.3 20300 1300
W36x280 82.4 18900 1200
W36x260 76.5 17300 1090
W36x256 75.4 16800 528
W36x245 72.1 16100 1010
W36x232 68.1 15000 468
W36x230 67.6 15000 940
W36x210 61.8 13200 411
W36x194 57 12100 375
W36x182 53.6 11300 347
W36x170 50.1 10500 320
W36x160 47 9760 295
W36x150 44.2 9040 270
W36x135 39.7 7800 225
W33x619 181 41800 2870
W33x567 166 37700 2580
W33x515 151 33700 2290
W33x468 137 30100 2030
W33x424 124 26900 1800
W33x387 114 24300 1620
W33x354 104 22000 1460
W33x318 93.6 19500 1290
W33x291 85.7 17700 1160
W33x263 77.5 15900 1040
W33x241 71 14200 933
W33x221 65.2 12900 840
W33x201 59.2 11600 749
W33x169 49.5 9290 310
W33x152 44.8 8160 273
W33x141 41.6 7450 246
W33x130 38.3 6710 218
W33x118 34.7 5900 187
W30x581 170 33000 2530
W30x526 154 29300 2230
W30x477 140 26100 1970
W30x433 127 23200 1750
W30x391 115 20700 1550
W30x357 105 18700 1390
W30x326 95.8 16800 1240
W30x292 85.9 14900 1100
W30x261 76.9 13100 959
W30x235 69.2 11700 855
W30x211 62.2 10300 757
W30x191 56.3 9200 673
W30x173 51 8230 598
W30x148 43.5 6680 227
W30x132 38.9 5770 196
W30x124 36.5 5360 181
W30x116 34.2 4930 164
W30x108 31.7 4470 146
W30x99 29.1 3990 128
W30x90 26.4 3610 115
W27x539 159 25600 2110
W27x494 145 22900 1890
W27x448 131 20400 1670
W27x407 119 18100 1480
W27x368 108 16200 1310
W27x336 98.9 14600 1180
W27x307 90.4 13100 1050
W27x281 82.9 11900 953
W27x258 76 10800 859
W27x235 69.4 9700 769
W27x217 64 8910 704
W27x194 57.2 7860 619
W27x178 52.5 7020 555
W27x161 47.6 6310 497
W27x146 43.1 5660 443
W27x129 37.8 4760 184
W27x114 33.5 4080 159
W27x102 30 3620 139
W27x94 27.7 3270 124
W27x84 24.8 2850 106
W24x492 144 19100 1670
W24x450 132 17100 1490
W24x408 119 15100 1320
W24x370 109 13400 1160
W24x335 98.4 11900 1030
W24x306 89.8 10700 919
W24x279 82 9600 823
W24x250 73.5 8490 724
W24x229 67.2 7650 651
W24x207 60.7 6820 578
W24x192 56.3 6260 530
W24x176 51.7 5680 479
W24x162 47.7 5170 443
W24x146 43 4580 391
W24x131 38.5 4020 340
W24x117 34.4 3540 297
W24x104 30.6 3100 259
W24x103 30.3 3000 119
W24x94 27.7 2700 109
W24x84 24.7 2370 94.4
W24x76 22.4 2100 82.5
W24x68 20.1 1830 70.4
W24x62 18.3 1560 34.5
W24x55 16.3 1360 29.1
W21x402 118 12200 1270
W21x364 107 10800 1120
W21x333 97.9 9610 994
W21x300 88.2 8480 873
W21x275 80.8 7620 785
W21x248 72.8 6760 694
W21x223 65.4 5950 609
W21x201 59.2 5310 542
W21x182 53.6 4730 483
W21x166 48.8 4280 435
W21x147 43.2 3630 376
W21x132 38.8 3220 333
W21x122 35.9 2960 305
W21x111 32.7 2670 274
W21x101 29.8 2420 248
W21x93 27.3 2070 92.9
W21x83 24.3 1830 81.4
W21x73 21.5 1600 70.6
W21x68 20 1480 64.7
W21x62 18.3 1330 57.5
W21x57 16.7 1170 30.6
W21x55 16.2 1140 48.4
W21x50 14.7 984 24.9
W21x48 14.1 959 38.7
W21x44 13 843 20.7
W18x311 91.5 6960 795
W18x283 83.2 6160 704
W18x258 75.9 5510 628
W18x234 68.8 4900 558
W18x211 62.1 4330 493
W18x192 56.4 3870 440
W18x175 51.3 3450 391
W18x158 46.3 3060 347
W18x143 42.1 2750 311
W18x130 38.2 2460 278
W18x119 35.1 2190 253
W18x106 31.1 1910 220
W18x97 28.5 1750 201
W18x86 25.3 1530 175
W18x76 22.3 1330 152
W18x71 20.8 1170 60.3
W18x65 19.1 1070 54.8
W18x60 17.6 984 50.1
W18x55 16.2 890 44.9
W18x50 14.7 800 40.1
W18x46 13.5 712 22.5
W18x40 11.8 612 19.1
W18x35 10.3 510 15.3
W16x100 29.7 1500 186
W16x89 26.4 1310 163
W16x77 22.9 1120 138
W16x67 20 970 119
W16x57 16.8 758 43.1
W16x50 14.7 659 37.2
W16x45 13.3 586 32.8
W16x40 11.8 518 28.9
W16x36 10.6 448 24.5
W16x31 9.13 375 12.4
W16x26 7.68 301 9.59
W14x808 237 16000 5510
W14x730 215 14300 4720
W14x665 196 12400 4170
W14x605 178 10800 3680
W14x550 162 9430 3250
W14x500 147 8210 2880
W14x455 134 7190 2560
W14x426 125 6600 2360
W14x398 117 6000 2170
W14x370 109 5440 1990
W14x342 101 4900 1810
W14x311 91.4 4330 1610
W14x283 83.3 3840 1440
W14x257 75.6 3400 1290
W14x233 68.5 3010 1150
W14x211 62 2660 1030
W14x193 56.8 2400 931
W14x176 51.8 2140 838
W14x159 46.7 1900 748
W14x145 42.7 1710 677
W14x132 38.8 1530 548
W14x120 35.3 1380 495
W14x109 32 1240 447
W14x99 29.1 1110 402
W14x90 26.5 999 362
W14x82 24 881 148
W14x74 21.8 795 134
W14x68 20 722 121
W14x61 17.9 640 107
W14x53 15.6 541 57.7
W14x48 14.1 484 51.4
W14x43 12.6 428 45.2
W14x38 11.2 385 26.7
W14x34 10 340 23.3
W14x30 8.85 291 19.6
W14x26 7.69 245 8.91
W14x22 6.49 199 7
W12x336 98.8 4060 1190
W12x305 89.6 3550 1050
W12x279 81.9 3110 937
W12x252 74 2720 828
W12x230 67.7 2420 742
W12x210 61.8 2140 664
W12x190 55.8 1890 589
W12x170 50 1650 517
W12x152 44.7 1430 454
W12x136 39.9 1240 398
W12x120 35.3 1070 345
W12x106 31.2 933 301
W12x96 28.2 833 270
W12x87 25.6 740 241
W12x79 23.2 662 216
W12x72 21.1 597 195
W12x65 19.1 533 174
W12x58 17 475 107
W12x53 15.6 425 95.8
W12x50 14.6 391 56.3
W12x45 13.1 348 50
W12x40 11.7 307 44.1
W12x35 10.3 285 24.5
W12x30 8.79 238 20.3
W12x26 7.65 204 17.3
W12x22 6.48 156 4.66
W12x19 5.57 130 3.76
W12x16 4.71 103 2.82
W12x14 4.16 88.6 2.36
W10x112 32.9 716 236
W10x100 29.4 623 207
W10x88 25.9 534 179
W10x77 22.6 455 154
W10x68 20 394 134
W10x60 17.6 341 116
W10x54 15.8 303 103
W10x49 14.4 272 93.4
W10x45 13.3 248 53.4
W10x39 11.5 209 45
W10x33 9.71 171 36.6
W10x30 8.84 170 16.7
W10x26 7.61 144 14.1
W10x22 6.49 118 11.4
W10x19 5.62 96.3 4.29
W10x17 4.99 81.9 3.56
W10x15 4.41 68.9 2.89
W10x12 3.54 53.8 2.18
W8x67 19.7 272 88.6
W8x58 17.1 228 75.1
W8x48 14.1 184 60.9
W8x40 11.7 146 49.1
W8x35 10.3 127 42.6
W8x31 9.12 110 37.1
W8x28 8.24 98 21.7
W8x24 7.08 82.7 18.3
W8x21 6.16 75.3 9.77
W8x18 5.26 61.9 7.97
W8x15 4.44 48 3.41
W8x13 3.84 39.6 2.73
W8x10 2.96 30.8 2.09
W6x25 7.36 53.6 17.1
W6x20 5.89 41.5 13.3
W6x16 4.74 32.1 4.43
W6x15 4.45 29.3 9.32
W6x12 3.55 22.1 2.99
W6x9 2.68 16.4 2.2
W6x8.5 2.51 14.8 1.98
W5x19 5.56 26.3 9.13
W5x16 4.71 21.4 7.51
W4x13 3.83 11.3 3.86
S24x121 35.5 3160 83
S24x106 31.1 2940 76.8
S24x100 29.3 2380 47.4
S24x90 26.5 2250 44.7
S24x80 23.5 2100 42
S20x96 28.2 1670 49.9
S20x86 25.3 1570 46.6
S20x75 22 1280 29.5
S20x66 19.4 1190 27.5
S18x70 20.5 923 24
S18x54.7 16 801 20.7
S15x50 14.7 485 15.6
S15x42.9 12.6 446 14.3
S12x50 14.6 303 15.6
S12x40.8 11.9 270 13.5
S12x35 10.2 228 9.84
S12x31.8 9.31 217 9.33
S10x35 10.3 147 8.3
S10x25.4 7.45 123 6.73
S8x23 6.76 64.7 4.27
S8x18.4 5.4 57.5 3.69
S7x20 5.88 42.4 3.17
S7x15.3 4.5 36.7 2.64
S6x17.25 5.06 26.2 2.29
S6x12.5 3.66 22 1.8
S5x14.75 4.34 15.2 1.67
S5x10 2.93 12.3 1.19
S4x9.5 2.79 6.76 0.887
S4x7.7 2.26 6.05 0.748
S3x7.5 2.2 2.91 0.578
S3x5.7 1.66 2.5 0.447
C15x50 14.7 404 11
C15x40 11.8 348 9.17
C15x33.9 9.95 315 8.07
C12x30 8.81 162 5.12
C12x25 7.34 144 4.45
C12x20.7 6.08 129 3.86
C10x30 8.81 103 3.93
C10x25 7.34 91.1 3.34
C10x20 5.87 78.9 2.8
C10x15.3 4.48 67.3 2.27
C9x20 5.87 60.9 2.41
C9x15 4.41 51 1.91
C9x13.4 3.94 47.8 1.75
C8x18.75 5.51 43.9 1.97
C8x13.75 4.04 36.1 1.52
C8x11.5 3.37 32.5 1.31
C7x14.75 4.33 27.2 1.37
C7x12.25 3.6 24.2 1.16
C7x9.8 2.87 21.2 0.957
C6x13 3.81 17.3 1.05
C6x10.5 3.08 15.1 0.86
C6x8.2 2.39 13.1 0.687
C5x9 2.64 8.89 0.624
C5x6.7 1.97 7.48 0.47
C4x7.25 2.13 4.58 0.425
C4x5.4 1.58 3.85 0.312
C4x4.5 1.38 3.65 0.289
C3x6 1.76 2.07 0.3
C3x5 1.47 1.85 0.241
C3x4.1 1.2 1.65 0.191
C3x3.5 1.09 1.57 0.169
MC18x58 17.1 675 17.6
MC18x51.9 15.3 627 16.3
MC18x45.8 13.5 578 14.9
MC18x42.7 12.6 554 14.3
MC13x50 14.7 314 16.4
MC13x40 11.8 273 13.7
MC13x35 10.3 252 12.3
MC13x31.8 9.35 239 11.4
MC12x50 14.7 269 17.4
MC12x45 13.2 252 15.8
MC12x40 11.8 234 14.2
MC12x35 10.3 216 12.6
MC12x31 9.12 202 11.3
MC12x10.6 3.1 55.3 0.378
MC10x41.1 12.1 157 15.7
MC10x33.6 9.87 139 13.1
MC10x28.5 8.37 126 11.3
MC10x25 7.35 110 7.25
MC10x22 6.45 102 6.4
MC10x8.4 2.46 31.9 0.326
MC10x6.5 1.91 22.1 0.112
MC9x25.4 7.47 87.9 7.57
MC9x23.9 7.02 84.9 7.14
MC8x22.8 6.7 63.8 7.01
MC8x21.4 6.28 61.5 6.58
MC8x20 5.88 54.4 4.42
MC8x18.7 5.5 52.4 4.15
MC8x8.5 2.5 23.3 0.624
MC7x22.7 6.67 47.4 7.24
MC7x19.1 5.61 43.1 6.06
MC6x18 5.29 29.7 5.88
MC6x16.3 4.79 26 3.77
MC6x15.3 4.49 25.3 4.91
MC6x15.1 4.44 24.9 3.46
MC6x12 3.53 18.7 1.85
HSS32x32x 76.4 12300 12300
HSS32x32x 61.9 10100 10100
HSS32x32x 46.8 7750 7750
HSS30x30x 71.4 10100 10100
HSS30x30x 57.9 8320 8320
HSS30x30x 43.8 6370 6370
HSS28x28x 66.4 8140 8140
HSS28x28x 53.9 6730 6730
HSS28x28x 40.8 5150 5150
HSS26x26x 61.4 6460 6460
HSS26x26x 49.9 5350 5350
HSS26x26x 37.8 4110 4110
HSS24x24x 56.4 5030 5030
HSS24x24x 45.9 4170 4170
HSS24x24X 34.8 3210 3210
HSS22x22x 51.4 3820 3820
HSS22x22x 41.9 3190 3190
HSS22x22x 31.8 2460 2460
HSS20x20x 46.4 2830 2830
HSS20x20x 37.9 2370 2370
HSS20x20x 28.8 1830 1830
HSS18x18x 41.4 2020 2020
HSS18x18x 33.9 1700 1700
HSS18x18x 25.8 1320 1320
HSS16x16x 35 1370 1370
HSS16x16x 28.3 1130 1130
HSS16x16x 21.5 873 873
HSS16x16x 18.1 739 739
HSS14x14x 30.3 897 897
HSS14x14x 24.6 743 743
HSS14x14x 18.7 577 577
HSS14x14x 15.7 490 490
HSS12x12x 25.7 548 548
HSS12x12x 20.9 457 457
HSS12x12x 16 357 357
HSS12x12x 13.4 304 304
HSS12x12x 10.8 248 248
HSS10x10x 21 304 304
HSS10x10x 17.2 256 256
HSS10x10x 13.2 202 202
HSS10x10x 11.1 172 172
HSS10x10x 8.96 141 141
HSS10x10x 6.76 108 108
HSS8x8x5/ 16.4 146 146
HSS8x8x1/ 13.5 125 125
HSS8x8x3/ 10.4 99.6 99.6
HSS8x8x5/ 8.76 85.6 85.6
HSS8x8x1/ 7.1 70.7 70.7
HSS8x8x3/ 5.37 54.4 54.4
HSS7x7x5/ 14 93.4 93.4
HSS7x7x1/ 11.6 80.5 80.5
HSS7x7x3/ 8.97 65 65
HSS7x7x5/ 7.59 56.1 56.1
HSS7x7x1/ 6.17 46.5 46.5
HSS7x7x3/ 4.67 36 36
HSS6x6x5/ 11.7 55.2 55.2
HSS6x6x1/ 9.74 48.3 48.3
HSS6x6x3/ 7.58 39.5 39.5
HSS6x6x5/ 6.43 34.3 34.3
HSS6x6x1/ 5.24 28.6 28.6
HSS6x6x3/ 3.98 22.3 22.3
HSS6x6x1/ 2.7 15.5 15.5
HSS5.5x5. 6.88 29.7 29.7
HSS5.5x5. 5.85 25.9 25.9
HSS5.5x5. 4.77 21.7 21.7
HSS5.5x5. 3.63 17 17
HSS5.5x5. 2.46 11.8 11.8
HSS5x5x1/ 7.88 26 26
HSS5x5x3/ 6.18 21.7 21.7
HSS5x5x5/ 5.26 19 19
HSS5x5x1/ 4.3 16 16
HSS5x5x3/ 3.28 12.6 12.6
HSS5x5x1/ 2.23 8.8 8.8
HSS4.5x4. 6.95 18.1 18.1
HSS4.5x4. 5.48 15.3 15.3
HSS4.5x4. 4.68 13.5 13.5
HSS4.5x4. 3.84 11.4 11.4
HSS4.5x4. 2.93 9.02 9.02
HSS4.5x4. 2 6.35 6.35
HSS4x4x1/ 6.02 11.9 11.9
HSS4x4x3/ 4.78 10.3 10.3
HSS4x4x5/ 4.1 9.14 9.14
HSS4x4x1/ 3.37 7.8 7.8
HSS4x4x3/ 2.58 6.21 6.21
HSS4x4x1/ 1.77 4.4 4.4
HSS3.5x3. 4.09 6.49 6.49
HSS3.5x3. 3.52 5.84 5.84
HSS3.5x3. 2.91 5.04 5.04
HSS3.5x3. 2.24 4.05 4.05
HSS3.5x3. 1.54 2.9 2.9
HSS3x3x3/ 3.39 3.78 3.78
HSS3x3x5/ 2.94 3.45 3.45
HSS3x3x1/ 2.44 3.02 3.02
HSS3x3x3/ 1.89 2.46 2.46
HSS3x3x1/ 1.3 1.78 1.78
HSS2.5x2. 2.35 1.82 1.82
HSS2.5x2. 1.97 1.63 1.63
HSS2.5x2. 1.54 1.35 1.35
HSS2.5x2. 1.07 0.998 0.998
HSS2.25x2 1.74 1.13 1.13
HSS2.25x2 1.37 0.953 0.953
HSS2.25x2 0.956 0.712 0.712
HSS2x2x1/ 1.51 0.747 0.747
HSS2x2x3/ 1.19 0.641 0.641
HSS2x2x1/ 0.84 0.486 0.486
HSS1.75x1 1.02 0.405 0.405
HSS1.625x 0.932 0.313 0.313
HSS1.625x 0.666 0.246 0.246
HSS1.5x1. 0.845 0.236 0.236
HSS1.5x1. 0.608 0.188 0.188
Member #1: Member #1: HSS1.25x1 0.671 0.122 0.122
Corrections for P Loads at Ends: Corrections for Applied M at SuppHSS1.25x1 0.492 0.102 0.102
S Reaction S Reaction for S Moment fS Moment for HSS32x24x 66.4 9880 6390
P Loads wi P Loads with Applied M Applied M with HSS32x24x 53.9 8160 5280
Dist. a = 0 Dist. a = L Dist. c = 0 Dist. c = L HSS32x24x 40.8 6250 4050
0 0 P1 0 0 M1 HSS30x24x 63.9 8480 6050
0 0 P2 0 0 M2 HSS30x24x 51.9 7010 5000
0 0 P3 0 0 M3 HSS30x24x 39.3 5380 3840
0 0 P4 0 0 M4 HSS28x24x 61.4 7210 5710
0 0 P5 0 0 SM HSS28x24x 49.9 5970 4730
0 0 P6 HSS28x24x 37.8 4580 3630
0 0 P7 HSS26x24x 58.9 6060 5370
0 0 P8 HSS26x24x 47.9 5020 4450
0 0 P9 HSS26x24x 36.3 3860 3420
0 0 P10 HSS24x22x 53.9 4680 4110
0 0 SP HSS24x22x 43.9 3900 3420
Vx CorrectiVx Correction: HSS24x22x 33.3 3000 2630
0 0 HSS22x20x 48.9 3530 3060
HSS22x20x 39.9 2950 2560
HSS22x20x 30.3 2280 1970
HSS20x18x 43.9 2590 2210
HSS20x18x 35.9 2180 1850
HSS20x18x 27.3 1690 1440
HSS20x16x 41.4 2360 1680
HSS20x16x 33.9 1990 1410
HSS20x16x 25.8 1540 1100
HSS20x12x 35 1880 851
HSS20x12x 28.3 1550 705
HSS20x12x 21.5 1200 547
HSS20x12x 18.1 1010 464
HSS20x8x5 30.3 1440 338
HSS20x8x1 24.6 1190 283
HSS20x8x3 18.7 926 222
HSS20x8x5 15.7 786 189
HSS20x4x1 20.9 838 58.7
HSS20x4x3 16 657 47.6
HSS20x4x5 13.4 560 41.2
HSS18x12x 32.6 1450 776
HSS18x12x 26.5 1200 643
HSS18x12x 20.1 929 499
HSS18x6x5 25.7 923 158
HSS18x6x1 20.9 770 134
HSS18x6x3 16 602 106
HSS18x6x5 13.4 513 91.3
HSS18x6x1 10.8 419 75.1
HSS16x12x 30.3 1090 700
HSS16x12x 24.6 904 581
HSS16x12x 18.7 702 452
HSS16x12x 15.7 595 384
HSS16x8x5 25.7 815 274
HSS16x8x1 20.9 679 230
HSS16x8x3 16 531 181
HSS16x8x5 13.4 451 155
HSS16x4x1 17.2 455 47
HSS16x4x3 13.2 360 38.3
HSS16x4x5 11.1 308 33.2
HSS14x12x 22.8 658 519
HSS14x12x 17.3 512 405
HSS14x10x 25.7 687 407
HSS14x10x 20.9 573 341
HSS14x10x 16 447 267
HSS14x10x 13.4 380 227
HSS14x10x 10.8 310 186
HSS14x6x5 21 478 124
HSS14x6x1 17.2 402 105
HSS14x6x3 13.2 317 84.1
HSS14x6x5 11.1 271 72.3
HSS14x6x1 8.96 222 59.6
HSS14x6x3 6.76 170 45.9
HSS14x4x5 18.7 373 47.2
HSS14x4x1 15.3 317 41.2
HSS14x4x3 11.8 252 33.6
HSS14x4x5 9.92 216 29.2
HSS14x4x1 8.03 178 24.4
HSS14x4x3 6.06 137 19
HSS12x10x 19 395 298
HSS12x10x 14.6 310 234
HSS12x10x 12.2 264 200
HSS12x10x 9.9 216 164
HSS12x8x5 21 397 210
HSS12x8x1 17.2 333 178
HSS12x8x3 13.2 262 140
HSS12x8x5 11.1 224 120
HSS12x8x1 8.96 184 98.8
HSS12x8x3 6.76 140 75.7
HSS12x6x5 18.7 321 107
HSS12x6x1 15.3 271 91.1
HSS12x6x3 11.8 215 72.9
HSS12x6x5 9.92 184 62.8
HSS12x6x1 8.03 151 51.9
HSS12x6x3 6.06 116 40
HSS12x4x5 16.4 245 40.4
HSS12x4x1 13.5 210 35.3
HSS12x4x3 10.4 168 28.9
HSS12x4x5 8.76 144 25.2
HSS12x4x1 7.1 119 21
HSS12x4x3 5.37 91.8 16.4
HSS12x3.5 10 156 21.3
HSS12x3.5 8.46 134 18.6
HSS12x3x5 8.17 124 13.1
HSS12x3x1 6.63 103 11.1
HSS12x3x3 5.02 79.6 8.72
HSS12x2x1 6.17 86.9 4.41
HSS12x2x3 4.67 67.4 3.55
HSS10x8x1 15.3 214 151
HSS10x8x3 11.8 169 120
HSS10x8x5 9.92 145 103
HSS10x8x1 8.03 119 84.7
HSS10x8x3 6.06 91.4 65.1
HSS10x6x5 16.4 201 89.4
HSS10x6x1 13.5 171 76.8
HSS10x6x3 10.4 137 61.8
HSS10x6x5 8.76 118 53.3
HSS10x6x1 7.1 96.9 44.1
HSS10x6x3 5.37 74.6 34.1
HSS10x5x3 9.67 120 40.6
HSS10x5x5 8.17 104 35.2
HSS10x5x1 6.63 85.8 29.3
HSS10x5x3 5.02 66.2 22.7
HSS10x4x5 14 149 33.5
HSS10x4x1 11.6 129 29.5
HSS10x4x3 8.97 104 24.3
HSS10x4x5 7.59 90.1 21.2
HSS10x4x1 6.17 74.7 17.7
HSS10x4x3 4.67 57.8 13.9
HSS10x3.5 4.5 53.6 10.3
HSS10x3x3 8.27 88 12.4
HSS10x3x5 7.01 76.3 11
HSS10x3x1 5.7 63.6 9.28
HSS10x3x3 4.32 49.4 7.33
HSS10x3x1 2.93 34.2 5.16
HSS10x2x3 7.58 71.7 4.7
HSS10x2x5 6.43 62.6 4.24
HSS10x2x1 5.24 52.5 3.67
HSS10x2x3 3.98 41 2.97
HSS9x7x5/ 16.4 174 117
HSS9x7x1/ 13.5 149 100
HSS9x7x3/ 10.4 119 80.4
HSS9x7x5/ 8.76 102 69.2
HSS9x7x1/ 7.1 84.1 57.2
HSS9x7x3/ 5.37 64.7 44.1
HSS9x5x5/ 14 133 52
HSS9x5x1/ 11.6 115 45.2
HSS9x5x3/ 8.97 92.5 36.8
HSS9x5x5/ 7.59 79.8 32
HSS9x5x1/ 6.17 66.1 26.6
HSS9x5x3/ 4.67 51.1 20.7
HSS9x3x1/ 9.74 80.8 13.2
HSS9x3x3/ 7.58 66.3 11.2
HSS9x3x5/ 6.43 57.7 9.88
HSS9x3x1/ 5.24 48.2 8.38
HSS9x3x3/ 3.98 37.6 6.64
HSS8x6x5/ 14 114 72.3
HSS8x6x1/ 11.6 98.2 62.5
HSS8x6x3/ 8.97 79.1 50.6
HSS8x6x5/ 7.59 68.3 43.8
HSS8x6x1/ 6.17 56.6 36.4
HSS8x6x3/ 4.67 43.7 28.2
HSS8x4x5/ 11.7 82 26.6
HSS8x4x1/ 9.74 71.8 23.6
HSS8x4x3/ 7.58 58.7 19.6
HSS8x4x5/ 6.43 51 17.2
HSS8x4x1/ 5.24 42.5 14.4
HSS8x4x3/ 3.98 33.1 11.3
HSS8x4x1/ 2.7 22.9 7.9
HSS8x3x1/ 8.81 58.6 11.7
HSS8x3x3/ 6.88 48.5 9.95
HSS8x3x5/ 5.85 42.4 8.81
HSS8x3x1/ 4.77 35.5 7.49
HSS8x3x3/ 3.63 27.8 5.94
HSS8x3x1/ 2.46 19.3 4.2
HSS8x2x3/ 6.18 38.2 3.73
Member #2: Member #2: HSS8x2x5/ 5.26 33.7 3.38
Corrections for P Loads at Ends: Corrections for Applied M at SuppHSS8x2x1/ 4.3 28.5 2.94
S Reaction S Reaction for S Moment fS Moment for HSS8x2x3/ 3.28 22.4 2.39
P Loads wi P Loads with Applied M Applied M with HSS8x2x1/ 2.23 15.7 1.72
Dist. a = 0 Dist. a = L Dist. c = 0 Dist. c = L HSS7x5x5/ 11.7 69.4 40.6
0 0 P1 0 0 M1 HSS7x5x1/ 9.74 60.6 35.6
Version 1.0
Caution: Do not use "Space Bar" to clear contents of

unused input cells for loadings. "Highlight" those
cells which are to be cleared and click on the
Right Mouse Button and select "Clear Contents".
Steel Beam:
Size: W18x40
A= 11.8 in.^2
Ix = 612 in.^4
Iy = 19.1 in.^4

FRAME

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"FRAME" --- PORTAL AND GABLE RIGID PLANE FRAME ANALYSIS

This program is a workbook consisting of three (3) worksheets, described as follows:

Worksheet Name Description

Program Assumptions and Limitations:

Procedure for Stiffness Method of Frame Analysis:

1. Identifiy members and joints in frame

For Uniform or Distributed Loads:

For Point Loads:

For Applied Moments:

Fixed beam(for determining FEM's in frame members)

Reference: "Modern Formulas for Statics and Dynamics, A Stress-and-Strain Approach"

ges 441 to 497

Job Name: Subject:

Joint No. x (ft.) y (ft.)

Joint No. Condition

Member Properties and Data: Plot of Portal Frame

Member No. E (ksi) A (in.^2) I (in.^4) L (ft.) lx ly

Joint No. Px (kips) Py (kips) Mz (ft-k)

Member Distributed Load #1 Distributed Load #2

Member Point Load #1 Point Load #2 Point Load #3 Point Load #4

Member No. Moment #1 Moment #2 Moment #3 Moment #4

FRAME MEMBER #1 FRAME MEMBER #2

Y Joint No. Rx (kips) Ry (kips)

Member End Forces:

Member NoJoint No. Axial (k)

Portal Frame Nomenclature Member Maximum Moments:

c/L Member No+M or -M M (ft-k)

Distributed Load #3 Distributed Load #4 Distributed Load #5

Member Direction Cosines:

Member NoDistributed Load #1

x or y (ft.) Member NoPoint Load #1 Point Load #2

Portal Frame Case #1 - Joint 1 Fixed and Joint 4 Fixed:

Inverse of 6x6 Partitioned Submatr

Inverse of 8x8 Partitioned Submatr

Portal Frame Case #3 - Joint 1 Fixed and Joint 4 Pinned:

Inverse of 7x7 Partitioned Submatr

Member End Forces Solution:

Portal Frame Case #4 - Joint 1 Pinned and Joint 4 Fixed:

Member End Forces Solution:

Individual Member Calculations:

For Distributed Load #1

For Distributed Load #1

Distributed Load #2 Distributed Load #3 Distributed Load #4

Moment #2 Moment #3 Moment #4

Fixed and Joint 4 Fixed:

ucture Stiffness Matrix, K:

6x6 Partitioned Submatrix, K11 = 1 / K11:

Du = Qk / K11 Reactions SQu = K21 * Du

q = k' * D * T D k' * D k' * D * T

3 4 5 6 Member #2: Member #2 End Forces:

3 4 5 6 Member #3: Member #3 End Forces:

Pinned and Joint 4 Pinned:

ucture Stiffness Matrix, K:

8x8 Partitioned Submatrix, K11 = 1 / K11:

Du = Qk / K11 Reactions SQu = K21 * Du

3 4 5 6 Member #2: Member #2 End Forces:

3 4 5 6 Member #3: Member #3 End Forces:

Fixed and Joint 4 Pinned:

ucture Stiffness Matrix, K:

7x7 Partitioned Submatrix, K11 = 1 / K11: