Spreadsheets To BS 8110: The Concrete Centre

Project Spreadsheets to BS 8110 The Concrete Centre
Client Advisory Group Made by Date Page

Location Ground floor columns at B1, B2 etc RMW 2-Feb-22 121
SYMMETRICALLY REINFORCED RECTANGULAR COLUMN DESIGN, BENT
ABOUT TWO AXES TO BS 8110:2005 Checked Revision Job No
Originated from RCC53.xls v4.0 on CD © 2006 TCC chg - R68
MATERIALS
fcu 35 N/mm² gm, steel 1.15 Cover to link 30 mm
fy 500 N/mm² gm, conc 1.5 h agg 20 mm
steel class A
SECTION
h 400 mm
b 300 mm
with 3 bars per 300 face X X
and 3 bars per 400 face
#N/A
RESTRAINTS Top Btm

Lo (mm) Condition Condition Braced ? ß Le (mm) Slenderness Status
X-AXIS 3600 2 2 Y 0.85 3060 Lex/h = 7.65 Column is
Y-AXIS 3600 2 2 Y 0.85 3060 Ley/b = 10.20 SHORT
LOADCASES AXIAL TOP MOMENTS (kNm) BTM MOMENTS (kNm)

N (kN) M ix M iy M ix M iy
B1 3500 90.0 25.0 90.0 25.0
B2 3000 80.0 60.0 80.0 60.0
Loadcase 3 1000 100.0 35.0 100.0 35.0
Loadcase 4 1200 50.0 150.0 50.0 150.0
Loadcase 5 500 220.0 90.0 220.0 90.0
Loadcase 6 2500 35.0 25.0 35.0 25.0
BAR ARRANGEMENTS BAR CENTRES (mm)

Bar Ø Asc % Link Ø 300 Face 400 Face Nuz (kN) Checks
H 40 8.38 10 90 140 0 Asc > 6 % (3.12.6.2)
H 32 5.36 8 96 146 4573 ok
H 25 3.27 8 100 150 3522 ok
H 20 2.09 6 104 154 2929 ok
H 16 1.34 6 106 156 2550 ok
H 12 0.75 6 108 158 2255 ok
DESIGN MOMENTS (kNm) X AXIS Y AXIS COMBINED

K M add Mx M add My Axis M' REBAR max V *
B1 0.000 0.0 90.0 0.0 25.0 X 100.5 8 H32 99.6
B2 0.000 0.0 80.0 0.0 60.0 Y 77.1 8 H32 102.3
Loadcase 3 0.000 0.0 100.0 0.0 35.0 X 135.1 8 H12 52.0
Loadcase 4 0.000 0.0 50.0 0.0 150.0 Y 173.8 8 H25 86.5
Loadcase 5 0.000 0.0 220.0 0.0 90.0 X 329.0 No Fit 97.3
Loadcase 6 0.000 0.0 35.0 0.0 37.5 Y 45.1 8 H25 88.1
SEE CHARTS ON NEXT SHEET

Project Spreadsheets to BS 8110 The Concrete Centre
Client Advisory Group Made by Date Page
Location Ground floor columns at B1, B2 etc RMW 2-Feb-22 122
SYMMETRICALLY REINFORCED RECTANGULAR COLUMN DESIGN,
BENT ABOUT TWO AXES TO BS 8110:2005 Checked Revision Job No
Originated from RCC53.xls v4.0 on CD © 2006 TCC chg - R68
N:M interaction chart: Mx' critical

400 x 300 column (h x b), grade C35, 30 mm cover
AXIAL LOAD, kN
5000
4500 2 KEY
4000
3500 3500
8H32
3000
8H25
2500
8H20
2000
1500 8H16
1000 1000 8H12
500 500 2
0 0
0 50 100 150 200 250 300 350 400 450
Mx' kNm
N:M interaction chart: My' critical

400 x 300 column (h x b), moment about yy axis), Grade C35, 30 Cover
5000
AXIAL LOAD kN
2
4500 KEY
4000
3500
8H32
3000 3000
8H25
2500 2500
2000 8H20
1500 8H16
1200
1000 8H12
500 2
0 0
0 50 100 150 200 250 300
My' kNm
Project Spreadsheets to BS 8110
Location Ground floor columns at B1, B2 etc
SYMMETRICALLY REINFORCED RECTANGULAR COLUMN DESIGN, BENT ABOUT TWO AXES TO BS 8110:2005 CALCULATIONS - X axis I Made by RMW Job No R68
Originated from RCC53.xls v4.0 on CD © 2006 TCC Date 2-Feb-22
CALCULATIONS - X axis
0.00 394.13
.67fcu/γm = 15.63 N/mm² ALL CALCULATIONS DERIVED FROM 420.00 420.00
fy/γm = 434.78 N/mm² FIGURE 3.3 AND CLAUSE 3.4.4.1
net fy/γm = 419.15 N/mm²
40 Bar diameter
d' = 60 mm d= 0 mm Asc = 0 mm² spacing = -30 mm
n max = 0.0 Interval = 10.000 40 intervals
n/d =0.1500
n Neutral axis 0.00 10.00 20.00 30.00 40.00 50.00 60.00 70.00 80.00 90.00 100.00 110.00 120.00 130.00 140.00 150.00 160.00 170.00 180.00 190.00 200.00 210.00 220.00 230.00 240.00 250.00 260.00 270.00 280.00 290.00 300.00
Fc Conc comp force 0 42210 84420 126630 168840 211050 253260 295470 337680 379890 422100 464310 506520 548730 590940 633150 675360 717570 759780 801990 844200 886410 928620 970830 1013040 1055250 1097460 1139670 1181880 1224090 1266300
2 inter d' 0.00
3 inter d' 0.00
4 inter d' -30.00
5 inter d' -60.00
6 inter d' -90.00
7 inter d' -120.00
8 inter d' -150.00
9 inter d' -180.00
c strain Steel comp strain #DIV/0! -0.0175 -0.007 -0.0035 -0.00175 -0.0007 0 0.0005 0.000875 0.0011667 0.0014 0.0015909 0.00175 0.0018846 0.002 0.0021 0.0021875 0.0022647 0.0023333 0.0023947 0.00245 0.0025 0.0025455 0.002587 0.002625 0.00266 0.0026923 0.0027222 0.00275 0.0027759 0.0028
2 inter strain 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
3 inter strain 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
4 inter strain #DIV/0! 0.014 0.00875 0.007 0.006125 0.0056 0.00525 0.005 0.0048125 0.0046667 0.00455 0.0044545 0.004375 0.0043077 0.00425 0.0042 0.0041563 0.0041176 0.0040833 0.0040526 0.004025 0.004 0.0039773 0.0039565 0.0039375 0.00392 0.0039038 0.0038889 0.003875 0.0038621 0.00385
5 inter strain #DIV/0! 0.0245 0.014 0.0105 0.00875 0.0077 0.007 0.0065 0.006125 0.0058333 0.0056 0.0054091 0.00525 0.0051154 0.005 0.0049 0.0048125 0.0047353 0.0046667 0.0046053 0.00455 0.0045 0.0044545 0.004413 0.004375 0.00434 0.0043077 0.0042778 0.00425 0.0042241 0.0042
6 inter strain #DIV/0! 0.035 0.01925 0.014 0.011375 0.0098 0.00875 0.008 0.0074375 0.007 0.00665 0.0063636 0.006125 0.0059231 0.00575 0.0056 0.0054688 0.0053529 0.00525 0.0051579 0.005075 0.005 0.0049318 0.0048696 0.0048125 0.00476 0.0047115 0.0046667 0.004625 0.0045862 0.00455
7 inter strain #DIV/0! 0.0455 0.0245 0.0175 0.014 0.0119 0.0105 0.0095 0.00875 0.0081667 0.0077 0.0073182 0.007 0.0067308 0.0065 0.0063 0.006125 0.0059706 0.0058333 0.0057105 0.0056 0.0055 0.0054091 0.0053261 0.00525 0.00518 0.0051154 0.0050556 0.005 0.0049483 0.0049
8 inter strain #DIV/0! 0.056 0.02975 0.021 0.016625 0.014 0.01225 0.011 0.0100625 0.0093333 0.00875 0.0082727 0.007875 0.0075385 0.00725 0.007 0.0067813 0.0065882 0.0064167 0.0062632 0.006125 0.006 0.0058864 0.0057826 0.0056875 0.0056 0.0055192 0.0054444 0.005375 0.0053103 0.00525
9 inter strain #DIV/0! 0.0665 0.035 0.0245 0.01925 0.0161 0.014 0.0125 0.011375 0.0105 0.0098 0.0092273 0.00875 0.0083462 0.008 0.0077 0.0074375 0.0072059 0.007 0.0068158 0.00665 0.0065 0.0063636 0.0062391 0.006125 0.00602 0.0059231 0.0058333 0.00575 0.0056724 0.0056
t strain Steel tens strain #DIV/0! 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035
fsc Steel comp stress #DIV/0! -3515.633333 -1415.6333 -715.6333333 -365.6333333 -155.63 -15.63 84.37 159.37 217.70 264.37 302.55 334.37 361.29 384.37 404.37 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15
2 inter stress 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
3 inter stress 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
4 inter stress #DIV/0! 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1
5 inter stress #DIV/0! 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1
6 inter stress #DIV/0! 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1
7 inter stress #DIV/0! 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1
8 inter stress #DIV/0! 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1
9 inter stress #DIV/0! 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1
fst Steel tens stress #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0!
Fsc Steel comp force #DIV/0! 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
2 inter Fs 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
3 inter Fs 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
4 inter Fs #DIV/0! 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
5 inter Fs #DIV/0! 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
6 inter Fs #DIV/0! 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
7 inter Fs #DIV/0! 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
8 inter Fs #DIV/0! 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
9 inter Fs #DIV/0! 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
Fst Steel tens force #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0!
z Conc lever arm 0 -4.5 -9 -13.5 -18 -22.5 -27 -31.5 -36 -40.5 -45 -49.5 -54 -58.5 -63 -67.5 -72 -76.5 -81 -85.5 -90 -94.5 -99 -103.5 -108 -112.5 -117 -121.5 -126 -130.5 -135
N Fc + Fsc - Fst #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0!
M MOR #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0!
Labels for chart 8H40
N diff #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0!
M diff #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0!
N Bal #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0!
32 Bar diameter
d' = 54 mm d= 346 mm Asc = 6434 mm² spacing = 146 mm
n/d = 0.1300
n Neutral axis 44.98 53.86 62.73 71.61 80.48 89.36 98.23 107.11 115.98 124.86 133.74 142.61 151.49 160.36 169.24 178.11 186.99 195.86 204.74 213.61 222.49 231.37 240.24 249.12 257.99 266.87 275.74 284.62 293.49 302.37 311.25
Fc Conc comp force 189860.6 227324.0655 264787.551 302251.0365 339714.522 377178 414641.49 452105 489568.46 527031.95 564495.44 601958.92 639422.41 676885.89 714349.38 751812.86 789276.35 826739.83 864203.32 901666.8 939130.29 976593.78 1014057 1051521 1088984 1126448 1163911 1201375 1238838 1276302 1313765
2 inter d' 200.00
3 inter d' 0.00
4 inter d' 0.00
5 inter d' 0.00
6 inter d' 0.00
7 inter d' 0.00
8 inter d' 0.00
9 inter d' 0.00
c strain Steel comp strain -0.000702 -9.39087E-06 0.00048714 0.000860575 0.001151649 0.0013849 0.001576 0.0017354 0.0018705 0.0019863 0.0020868 0.0021747 0.0022524 0.0023214 0.0023832 0.0024389 0.0024892 0.002535 0.0025769 0.0026152 0.0026505 0.0026831 0.0027133 0.0027413 0.0027674 0.0027918 0.0028146 0.002836 0.002856 0.0028749 0.0028928
2 inter strain -0.012062 -0.009497744 -0.0076588 -0.006275649 -0.005197597 -0.004334 -0.003626 -0.003035 -0.002535 -0.002106 -0.001734 -0.001408 -0.001121 -0.000865 -0.000636 -0.00043 -0.000244 -7.39E-05 8.101E-05 0.0002231 0.0003538 0.0004745 0.0005863 0.0006901 0.0007867 0.000877 0.0009614 0.0010406 0.0011149 0.001185 0.001251
3 inter strain 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
4 inter strain 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
5 inter strain 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
6 inter strain 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
7 inter strain 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
8 inter strain 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
9 inter strain 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
t strain Steel tens strain -0.023423 -0.018986097 -0.0158047 -0.013411873 -0.011546843 -0.010052 -0.008828 -0.007806 -0.006941 -0.006199 -0.005555 -0.004992 -0.004494 -0.004052 -0.003656 -0.003299 -0.002976 -0.002683 -0.002415 -0.002169 -0.001943 -0.001734 -0.001541 -0.001361 -0.001194 -0.001038 -0.000892 -0.000755 -0.000626 -0.000505 -0.000391
fsc Steel comp stress -156.01 -17.51 81.79 156.48 214.70 261.35 299.57 331.45 358.46 381.63 401.72 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15
2 inter stress -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -421.3 -346.8 -281.7 -224.2 -173.0 -127.2 -86.0 -48.7 -14.8 16.2 44.6 70.8 94.9 117.3 138.0 157.3 175.4 192.3 208.1 223.0 237.0 250.2
3 inter stress 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
4 inter stress 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
5 inter stress 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
6 inter stress 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
7 inter stress 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
8 inter stress 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
9 inter stress 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
fst Steel tens stress -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -433.8 -388.6 -346.8 -308.2 -272.2 -238.8 -207.6 -178.4 -151.0 -125.2 -101.0 -78.2
Fsc Steel comp force -376404 -42250.76951 197347.374 3.78E+05 5.18E+05 6E+05 7E+05 8E+05 9E+05 9E+05 1E+06 1011300 1011300 1011300 1011300 1011300 1011300 1011300 1011300 1011300 1011300 1011300 1011300 1011300 1011300 1011300 1011300 1011300 1011300 1011300 1011300
2 inter Fs -699346 -699345.8429 -699345.84 -6.99E+05 -6.99E+05 -7E+05 -7E+05 -7E+05 -7E+05 -7E+05 -6E+05 -453105 -360589 -278314 -204668.6 -138362.9 -78351.66 -23779.21 26061.776 71761.059 113814.3 152641.1 188599.05 221994.79 253092.76 282122.21 309282.88 334749.6 358676.06 381197.88 402435.23
3 inter Fs 0 0 0 0.00E+00 0.00E+00 0E+00 0E+00 0E+00 0E+00 0E+00 0E+00 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
4 inter Fs 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
5 inter Fs 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
6 inter Fs 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
7 inter Fs 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
8 inter Fs 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
9 inter Fs 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
Fst Steel tens force -1049019 -1049018.764 -1049018.8 -1049018.764 -1049018.764 -1049019 -1049019 -1049019 -1049019 -1049019 -1049019 -1049019 -1049019 -1049019 -1049019 -1049019 -1049019 -1049019 -1049019 -1046692 -937563.6 -836808.1 -743497.2 -656835.3 -576136 -500804.6 -430322.7 -364236.5 -302147.4 -243703.3 -188592.3
z Conc lever arm 325.759 321.765025 317.77105 313.777075 309.7831 305.78913 301.79515 297.80118 293.8072 289.81323 285.81925 281.82528 277.8313 273.83733 269.84335 265.84938 261.8554 257.86143 253.86745 249.87348 245.8795 241.88553 237.89155 233.89758 229.9036 225.90963 221.91565 217.92168 213.9277 209.93373 205.93975
N Fc + Fsc - Fst 0 0 0 0 0 0 0 0 0 0 0 111.13475 241.1142 360.85272 471.96155 575.73075 673.20547 765.24141 852.54588 938.03561 1126.6805 1303.7263 1470.4587 1627.9798 1777.2405 1919.0648 2054.1709 2183.1873 2306.6664 2425.0958 2538.9076
M MOR 0 0 0 0 0 0 0 0 0 0 380.03306 382.56771 385.10236 387.33776 389.27389 390.91078 392.2484 393.28677 394.02588 394.126 378.33389 363.46492 349.38362 335.97381 323.13529 310.78122 298.83592 287.23315 275.91468 264.82913 253.93097
Labels for chart
N diff 0 0 0 0 0 0 0 0 0 0 111.13475 129.97945 119.73852 111.10883 103.7692 97.47472 92.035935 87.30447 85.489729 188.64489 177.04583 166.73233 157.52117 149.26067 141.82435 135.1061 129.01636 123.47909 118.42943 113.81176 109.57817
M diff 0 0 0 0 0 0 0 0 0 380.03306 2.5346511 2.5346511 2.2353947 1.9361382 1.6368818 1.3376253 1.0383689 0.7391124 0.1001199 -15.79211 -14.86897 -14.0813 -13.40981 -12.83851 -12.35407 -11.9453 -11.60277 -11.31847 -11.08555 -10.89816 -10.75125
25 Bar diameter
d' = 50.5 mm d= 349.5 mm Asc = 3927 mm² spacing = 149.5 mm
n/d = 0.1200
n Neutral axis 41.94 50.89 59.84 68.79 77.75 86.70 95.65 104.60 113.55 122.50 131.46 140.41 149.36 158.31 167.26 176.21 185.16 194.12 203.07 212.02 220.97 229.92 238.87 247.82 256.78 265.73 274.68 283.63 292.58 301.53 310.49
Fc Conc comp force 177028.7 214813.0215 252597.303 290381.5845 328165.866 365950.15 403734.43 441518.71 479303 517087.27 554871.56 592655.84 630440.12 668224.4 706008.68 743793 781577.24 819361.53 857145.81 894930.09 932714.37 970498.65 1008283 1046067 1083851 1121636 1159420 1197204 1234989 1272773 1310557
2 inter d' 200.00
3 inter d' 0.00
4 inter d' 0.00
5 inter d' 0.00
6 inter d' 0.00
7 inter d' 0.00
8 inter d' 0.00
9 inter d' 0.00
c strain Steel comp strain -0.000714 2.692493E-05 0.00054644 0.000930754 0.001226571 0.0014613 0.0016521 0.0018102 0.0019434 0.0020572 0.0021554 0.0022412 0.0023166 0.0023835 0.0024433 0.0024969 0.0025454 0.0025895 0.0026296 0.0026663 0.0027001 0.0027313 0.0027601 0.0027868 0.0028117 0.0028348 0.0028565 0.0028768 0.0028959 0.0029138 0.0029307
2 inter strain -0.013191 -0.010254753 -0.0081973 -0.006675232 -0.005503679 -0.004574 -0.003818 -0.003192 -0.002665 -0.002214 -0.001825 -0.001486 -0.001187 -0.000922 -0.000685 -0.000472 -0.00028 -0.000106 5.286E-05 0.0001984 0.0003321 0.0004555 0.0005696 0.0006754 0.0007739 0.0008657 0.0009516 0.001032 0.0011075 0.0011785 0.0012455
3 inter strain 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
4 inter strain 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
5 inter strain 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
6 inter strain 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
7 inter strain 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
8 inter strain 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
9 inter strain 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
fsc Steel comp stress -158.50 -10.25 93.65 170.52 229.68 276.63 314.79 346.41 373.06 395.80 415.45 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15
2 inter stress -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -365.0 -297.1 -237.3 -184.3 -137.0 -94.5 -56.1 -21.2 10.6 39.7 66.4 91.1 113.9 135.1 154.8 173.1 190.3 206.4 221.5 235.7 249.1
3 inter stress 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
4 inter stress 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
5 inter stress 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
6 inter stress 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
7 inter stress 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
8 inter stress 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
9 inter stress 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
Fsc Steel comp force -233417 -15091.93763 137917.345 251107.6712 338233.0371 407367 463561 510137 549369.64 582868.74 611805.56 617248.26 617248.26 617248.26 617248.26 617248.26 617248.26 617248.26 617248.26 617248.26 617248.26 617248.26 617248.26 617248.26 617248.26 617248.26 617248.26 617248.26 617248.26 617248.26 617248.26
2 inter Fs -426847 -426846.8279 -426846.83 -426846.8279 -426846.8279 -426846.8 -426846.8 -426846.8 -426846.8 -426846.8 -358341.1 -291682 -233013.1 -180978.9 -134514.4 -92770.53 -55062.79 -20832.78 10379.403 38956.008 65217.335 89433.806 111835.31 132618.51 151952.66 169984.2 186840.48 202632.78 217458.75 231404.46 244546
3 inter Fs 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
4 inter Fs 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
5 inter Fs 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
6 inter Fs 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
7 inter Fs 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
8 inter Fs 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
9 inter Fs 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
Fst Steel tens force -640270 -640270.2419 -640270.24 -640270.2419 -640270.2419 -640270.2 -640270.2 -640270.2 -640270.2 -640270.2 -640270.2 -640270.2 -640270.2 -640270.2 -640270.2 -640270.2 -640270.2 -640270.2 -640270.2 -640270.2 -599598.3 -536120.9 -477400.9 -422923 -372243.3 -324978.2 -280793.6 -239398.1 -200535.5 -163980.3 -129532.9
z Conc lever arm 330.627 326.598825 322.57065 318.542475 314.5143 310.48613 306.45795 302.42978 298.4016 294.37343 290.34525 286.31708 282.2889 278.26073 274.23255 270.20438 266.1762 262.14803 258.11985 254.09168 250.0635 246.03533 242.00715 237.97898 233.9508 229.92263 225.89445 221.86628 217.8381 213.80993 209.78175
N Fc + Fsc - Fst 0 0 0 0 0 0 0 0 0 32.838944 168.06579 277.95186 374.40506 464.22347 548.47234 628.00045 703.49247 775.50676 844.50323 910.86411 1015.5817 1141.0598 1259.9656 1373.011 1480.8091 1583.8901 1682.7152 1777.6873 1869.1602 1957.4453 2042.8186
M MOR 0 0 0 0 0 0 0 0 250.20661 257.77148 265.33636 269.08445 271.71447 274.04007 276.06128 277.77808 279.19048 280.29847 281.10206 281.60125 275.71558 266.11609 256.92343 248.06055 239.46112 231.06774 222.83052 214.70584 206.65544 198.6456 190.64647
N diff 0 0 0 0 0 0 0 0 32.838944 135.22684 109.88608 96.453195 89.818409 84.248868 79.528116 75.492019 72.014288 68.996467 66.360887 104.71756 125.47818 118.90571 113.04545 107.79807 103.081 98.825092 94.972144 91.472837 88.285177 85.373225 82.706075
M diff 0 0 0 0 0 0 0 250.20661 7.5648729 7.5648729 3.7480986 2.6300118 2.3256084 2.021205 1.7168016 1.4123982 1.1079948 0.8035914 0.499188 -5.885672 -9.599494 -9.192652 -8.862882 -8.599435 -8.393376 -8.237223 -8.124676 -8.050399 -8.009847 -7.99913 -8.014906
SYMMETRICALLY REINFORCED RECTANGULAR COLUMN DESIGN, BENT ABOUT TWO AXES TO BS 8110:2005 CALCULATIONS - X axis II Made by RMW Job No R68
20 Bar diameter
d' = 46 d= 354 mm Asc 2513 mm² spacing = 154 mm
n/d = 0.0800
n Neutral axis 28.32 37.61 46.90 56.20 65.49 74.78 84.07 93.36 102.66 111.95 121.24 130.53 139.82 149.12 158.41 167.70 176.99 186.28 195.58 204.87 214.16 223.45 232.74 242.04 251.33 260.62 269.91 279.20 288.50 297.79 307.08
Fc Conc comp force 119538.7 158760.252 197981.784 237203.316 276424.848 315646.38 354867.91 394089.44 433311 472532.51 511754.04 550975.57 590197.1 629418.64 668640.17 707861.7 747083.23 786304.76 825526.3 864747.83 903969.36 943190.89 982412.42 1021634 1060855 1100077 1139299 1178520 1217742 1256963 1296185
2 inter d' 200.00
3 inter d' 0.00
4 inter d' 0.00
5 inter d' 0.00
6 inter d' 0.00
7 inter d' 0.00
8 inter d' 0.00
9 inter d' 0.00
c strain Steel comp strain -0.002185 -0.000780549 6.7457E-05 0.000635027 0.001041534 0.001347 0.001585 0.0017756 0.0019317 0.0020618 0.0021721 0.0022666 0.0023486 0.0024203 0.0024836 0.00254 0.0025904 0.0026357 0.0026768 0.0027141 0.0027482 0.0027795 0.0028083 0.0028348 0.0028594 0.0028822 0.0029035 0.0029234 0.0029419 0.0029593 0.0029757
2 inter strain -0.021218 -0.015111082 -0.0114241 -0.008956403 -0.007188981 -0.005861 -0.004826 -0.003998 -0.003319 -0.002753 -0.002274 -0.001863 -0.001506 -0.001194 -0.000919 -0.000674 -0.000455 -0.000258 -7.92E-05 8.317E-05 0.0002314 0.0003673 0.0004924 0.0006079 0.0007148 0.0008141 0.0009066 0.0009929 0.0010736 0.0011493 0.0012205
3 inter strain 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
4 inter strain 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
5 inter strain 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
6 inter strain 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
7 inter strain 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
8 inter strain 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
9 inter strain 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
fsc Steel comp stress -452.64 -171.74 -2.14 111.37 192.67 253.77 301.36 339.48 370.70 396.73 418.78 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15
2 inter stress -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -372.5 -301.3 -238.9 -183.8 -134.8 -91.0 -51.5 -15.8 16.6 46.3 73.5 98.5 121.6 143.0 162.8 181.3 198.6 214.7 229.9 244.1
3 inter stress 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
4 inter stress 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
5 inter stress 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
6 inter stress 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
7 inter stress 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
8 inter stress 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
9 inter stress 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
Fsc Steel comp force -426602 -161864.0448 -2018.7372 104965.7761 181590.5258 239172.83 284026.64 319952.35 349374.36 373912.16 394688.73 395038.89 395038.89 395038.89 395038.89 395038.89 395038.89 395038.89 395038.89 395038.89 395038.89 395038.89 395038.89 395038.89 395038.89 395038.89 395038.89 395038.89 395038.89 395038.89 395038.89
2 inter Fs -273182 -273181.9699 -273181.97 -273181.9699 -273181.9699 -273182 -273182 -273182 -273182 -273182 -273182 -234070 -189286.4 -150084.2 -115481 -84712.47 -57174.6 -32383.95 -9948.955 10450.916 29080.563 46160.823 61877.27 76386.977 89823.79 102302.47 113922 124768.05 134915.47 144429.62 153368
3 inter Fs 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
4 inter Fs 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
5 inter Fs 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
6 inter Fs 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
7 inter Fs 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
8 inter Fs 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
9 inter Fs 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
Fst Steel tens force -409773 -409772.9548 -409772.95 -409772.9548 -409772.9548 -409773 -409773 -409773 -409773 -409773 -409773 -409773 -409773 -409773 -409773 -409773 -409773 -409773 -409773 -409773 -409773 -385438.5 -343711.4 -305188.1 -269513.4 -236382.5 -205532.7 -176736.4 -149795 -124534.9 -100803.5
z Conc lever arm 341.256 337.0746 332.8932 328.7118 324.5304 320.349 316.1676 311.9862 307.8048 303.6234 299.442 295.2606 291.0792 286.8978 282.7164 278.535 274.3536 270.1722 265.9908 261.8094 257.628 253.4466 249.2652 245.0838 240.9024 236.721 232.5396 228.3582 224.1768 219.9954 215.814
N Fc + Fsc - Fst 0 0 0 0 0 0 0 31.086869 99.730416 163.48974 223.48785 302.17153 386.17659 464.60039 538.42508 608.41516 675.17456 739.18674 800.84327 860.46467 918.31585 998.95205 1095.6172 1187.8717 1276.2048 1361.0359 1442.7267 1521.5907 1597.901 1671.8968 1743.7881
M MOR 0 0 0 0 0 0 165.72279 174.63839 183.554 191.38943 198.31763 201.77216 204.84477 207.58938 210.00598 212.09458 213.85518 215.28778 216.39237 217.16897 217.61756 213.99065 207.35726 200.88926 194.53194 188.23836 181.96808 175.68602 169.36162 162.96815 156.48209
Labels for chart
N diff 0 0 0 0 0 0 31.086869 68.643547 63.759326 59.998106 78.683678 84.005069 78.423795 73.824691 69.990075 66.759406 64.012182 61.656528 59.621403 57.851179 80.636202 96.665145 92.254511 88.333082 84.831091 81.690778 78.863998 76.310355 73.99576 71.891278 69.972225
M diff 0 0 0 0 0 165.72279 8.9156046 8.9156046 7.8354328 6.928203 3.4545323 3.072607 2.7446051 2.4166033 2.0886015 1.7605997 1.4325978 1.104596 0.7765942 0.4485924 -3.626908 -6.633395 -6.467997 -6.357325 -6.293573 -6.270281 -6.282062 -6.324398 -6.393476 -6.486058 -6.599383
16 Bar diameter
n/d = 0.0400
n Neutral axis 14.24 23.88 33.53 43.17 52.82 62.46 72.10 81.75 91.39 101.04 110.68 120.32 129.97 139.61 149.26 158.90 168.54 178.19 187.83 197.48 207.12 216.76 226.41 236.05 245.70 255.34 264.98 274.63 284.27 293.92 303.56
Fc Conc comp force 60107.04 100814.364 141521.688 182229.012 222936.336 263643.66 304351 345058.31 385765.63 426473 467180.28 507887.6 548594.93 589302.25 630009.58 670716.9 711424.22 752131.55 792838.87 833546.2 874253.52 914960.84 955668.17 996375.49 1037083 1077790 1118497 1159205 1199912 1240619 1281327
2 inter d' 200.00
3 inter d' 0.00
4 inter d' 0.00
5 inter d' 0.00
6 inter d' 0.00
7 inter d' 0.00
8 inter d' 0.00
9 inter d' 0.00
c strain Steel comp strain -0.007315 -0.002947831 -0.0010932 -6.71268E-05 0.000584217 0.0010344 0.0013642 0.0016162 0.001815 0.0019758 0.0021086 0.0022201 0.0023151 0.0023969 0.0024682 0.0025308 0.0025863 0.0026357 0.0026801 0.0027202 0.0027565 0.0027895 0.0028198 0.0028476 0.0028732 0.0028969 0.0029188 0.0029392 0.0029583 0.002976 0.0029927
2 inter strain -0.045657 -0.025808324 -0.0173781 -0.012714213 -0.00975356 -0.007707 -0.006208 -0.005063 -0.004159 -0.003428 -0.002825 -0.002318 -0.001886 -0.001514 -0.00119 -0.000905 -0.000653 -0.000428 -0.000227 -4.47E-05 0.0001203 0.0002707 0.0004082 0.0005346 0.000651 0.0007586 0.0008583 0.0009511 0.0010376 0.0011184 0.001194
3 inter strain 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
4 inter strain 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
5 inter strain 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
6 inter strain 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
7 inter strain 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
8 inter strain 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
9 inter strain 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
fsc Steel comp stress -1478.55 -605.20 -234.27 -29.06 101.21 191.25 257.21 307.60 347.36 379.52 406.09 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15
2 inter stress -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -377.2 -302.8 -238.0 -181.1 -130.6 -85.7 -45.3 -8.9 24.1 54.1 81.6 106.9 130.2 151.7 171.7 190.2 207.5 223.7 238.8
3 inter stress 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
4 inter stress 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
5 inter stress 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
6 inter stress 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
7 inter stress 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
8 inter stress 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
9 inter stress 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
Fsc Steel comp force -891843 -365047.7805 -141307.43 -17527.79588 61048.46238 115359.93 155142.94 185539.37 209520.72 228924 244945.87 252824.89 252824.89 252824.89 252824.89 252824.89 252824.89 252824.89 252824.89 252824.89 252824.89 252824.89 252824.89 252824.89 252824.89 252824.89 252824.89 252824.89 252824.89 252824.89 252824.89
2 inter Fs -174836 -174836.4607 -174836.46 -174836.4607 -174836.4607 -174836.5 -174836.5 -174836.5 -174836.5 -174836.5 -174836.5 -174836.5 -151676.4 -121754.7 -95699.75 -72807.45 -52534.92 -34456.8 -18235.07 -3597.766 9676.4451 21769.496 32832.324 42991.199 52352.567 61006.791 69031.08 76491.798 83446.303 89944.423 96029.658
3 inter Fs 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
4 inter Fs 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
5 inter Fs 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
6 inter Fs 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
7 inter Fs 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
8 inter Fs 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
9 inter Fs 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
Fst Steel tens force -262255 -262254.6911 -262254.69 -262254.6911 -262254.6911 -262254.7 -262254.7 -262254.7 -262254.7 -262254.7 -262254.7 -262254.7 -262254.7 -262254.7 -262254.7 -262254.7 -262254.7 -262254.7 -262254.7 -262254.7 -262254.7 -262254.7 -241677.1 -214552.9 -189558.1 -166451.3 -145026.5 -125106.3 -106537.8 -89187.83 -72940.26
z Conc lever arm 349.592 345.2522 340.9124 336.5726 332.2328 327.893 323.5532 319.2134 314.8736 310.5338 306.194 301.8542 297.5144 293.1746 288.8348 284.495 280.1552 275.8154 271.4756 267.1358 262.796 258.4562 254.1164 249.7766 245.4368 241.097 236.7572 232.4174 228.0776 223.7378 219.398
N Fc + Fsc - Fst 0 0 0 0 0 0 22.402775 93.506526 158.1952 218.30579 275.035 323.62134 387.48874 458.11773 524.88003 588.47965 649.4595 708.24495 765.17399 820.51863 874.50016 927.30054 999.64824 1077.6386 1152.7022 1225.1705 1295.327 1363.4151 1429.6455 1494.2009 1557.241
M MOR 0 0 0 0 0 106.04401 116.10901 126.17401 134.88494 142.52836 149.29096 154.42995 157.9865 161.18971 164.03961 166.53618 168.67943 170.46936 171.90596 172.98924 173.71919 174.09583 170.90904 166.34765 161.76511 157.12379 152.39153 147.54069 142.54737 137.39082 132.05292
N diff 0 0 0 0 0 22.402775 71.10375 64.688678 60.110584 56.729213 48.586338 63.867397 70.628999 66.762291 63.599622 60.979851 58.785447 56.929049 55.344631 53.981535 52.800375 72.347707 77.990396 75.063544 72.468327 70.156465 68.088158 66.230355 64.555427 63.040134 61.664816
M diff 0 0 0 0 106.0440114 10.065001 10.065001 8.7109263 7.6434203 6.7626032 5.1389914 3.5565419 3.2032186 2.8498953 2.496572 2.1432488 1.7899255 1.4366022 1.0832789 0.7299556 0.3766323 -3.18679 -4.561389 -4.582534 -4.641318 -4.732261 -4.850846 -4.993321 -5.156551 -5.337899 -5.535133
12 Bar diameter
n/d = 0.0300
n Neutral axis 10.74 20.47 30.20 39.93 49.67 59.40 69.13 78.86 88.59 98.32 108.06 117.79 127.52 137.25 146.98 156.71 166.44 176.18 185.91 195.64 205.37 215.10 224.83 234.56 244.30 254.03 263.76 273.49 283.22 292.95 302.69
Fc Conc comp force 45333.54 86410.2015 127486.863 168563.5245 209640.186 250716.85 291793.51 332870.17 373946.83 415023.49 456100.16 497176.82 538253.48 579330.14 620406.8 661483.46 702560.12 743636.79 784713.45 825790.11 866866.77 907943.43 949020.09 990096.75 1031173 1072250 1113327 1154403 1195480 1236557 1277633
2 inter d' 200.00
3 inter d' 0.00
4 inter d' 0.00
5 inter d' 0.00
6 inter d' 0.00
7 inter d' 0.00
8 inter d' 0.00
9 inter d' 0.00
c strain Steel comp strain -0.010187 -0.003680715 -0.0013671 -0.000181028 0.000540229 0.0010251 0.0013735 0.0016359 0.0018407 0.0020049 0.0021396 0.002252 0.0023472 0.002429 0.0024999 0.002562 0.0026168 0.0026656 0.0027093 0.0027486 0.0027842 0.0028166 0.0028462 0.0028733 0.0028983 0.0029213 0.0029427 0.0029625 0.002981 0.0029982 0.0030143
2 inter strain -0.061677 -0.030693879 -0.0196765 -0.014028703 -0.010594149 -0.008285 -0.006626 -0.005376 -0.004401 -0.003619 -0.002978 -0.002443 -0.001989 -0.0016 -0.001263 -0.000967 -0.000706 -0.000473 -0.000265 -7.8E-05 9.152E-05 0.0002457 0.0003866 0.0005157 0.0006346 0.0007444 0.0008461 0.0009405 0.0010284 0.0011105 0.0011874
3 inter strain 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
4 inter strain 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
5 inter strain 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
6 inter strain 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
7 inter strain 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
8 inter strain 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
9 inter strain 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
2 inter stress -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -397.9 -320.0 -252.5 -193.4 -141.1 -94.7 -53.1 -15.6 18.3 49.1 77.3 103.1 126.9 148.9 169.2 188.1 205.7 222.1 237.5
3 inter stress 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
4 inter stress 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
5 inter stress 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
6 inter stress 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
7 inter stress 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
8 inter stress 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
9 inter stress 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
Fsc Steel comp force -696588 -255071.677 -98071.191 -17588.51419 31354.79278 64260.664 87902.016 105708.61 119603.23 130747.44 139884.33 142214 142214 142214 142214 142214 142214 142214 142214 142214 142214 142214 142214 142214 142214 142214 142214 142214 142214 142214 142214
2 inter Fs -98345.51 -98345.50916 -98345.509 -98345.50916 -98345.50916 -98345.51 -98345.51 -98345.51 -98345.51 -98345.51 -98345.51 -98345.51 -89999.29 -72391.38 -57115.07 -43736.02 -31921.44 -21412.07 -12002.95 -3529.896 4140.1654 11116.218 17488.378 23331.809 28709.694 33675.538 38274.949 42547.041 46525.556 50239.749 53715.116
3 inter Fs 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
4 inter Fs 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
5 inter Fs 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
6 inter Fs 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
7 inter Fs 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
8 inter Fs 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
9 inter Fs 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
Fst Steel tens force -147518 -147518.2637 -147518.26 -147518.2637 -147518.2637 -147518.3 -147518.3 -147518.3 -147518.3 -147518.3 -147518.3 -147518.3 -147518.3 -147518.3 -147518.3 -147518.3 -147518.3 -147518.3 -147518.3 -147518.3 -147518.3 -147518.3 -140672.2 -124982.6 -110543 -97209.66 -84860.24 -73389.67 -62707.36 -52734.75 -43403.39
z Conc lever arm 353.167 348.787825 344.40865 340.029475 335.6503 331.27113 326.89195 322.51278 318.1336 313.75443 309.37525 304.99608 300.6169 296.23773 291.85855 287.47938 283.1002 278.72103 274.34185 269.96268 265.5835 261.20433 256.82515 252.44598 248.0668 243.68763 239.30845 234.92928 230.5501 226.17093 221.79175
N Fc + Fsc - Fst 0 0 0 0 0 69.113739 133.83175 192.71501 247.68629 299.90716 350.12071 393.52704 442.94992 501.6345 557.98746 612.44318 665.33442 716.92045 767.40623 816.95595 865.70267 913.75538 968.05029 1030.66 1091.5542 1150.93 1208.9554 1265.7748 1321.5123 1376.2757 1430.1591
M MOR 0 0 0 0 67.32814274 76.903061 86.477979 94.771242 102.08665 108.60773 114.45188 118.86074 122.54174 125.86298 128.82445 131.42616 133.66811 135.55029 137.07271 138.23537 139.03826 139.48139 138.48307 135.72771 132.81009 129.7075 126.4006 122.8728 119.10977 115.09912 110.83002
Labels for chart
N diff 0 0 0 0 69.11373872 64.718013 58.883259 54.971283 52.220862 50.213555 43.406332 49.42288 58.684576 56.352963 54.455714 52.891245 51.586028 50.48578 49.549718 48.746723 48.052714 54.294902 62.609701 60.89417 59.375798 58.025489 56.819323 55.737488 54.763464 53.883387 53.08555
M diff 0 0 0 67.32814274 9.574918087 9.5749181 8.2932632 7.3154071 6.5210768 5.8441585 4.4088536 3.6810018 3.3212381 2.9614743 2.6017105 2.2419467 1.8821829 1.5224192 1.1626554 0.8028916 0.4431278 -0.998317 -2.755358 -2.917624 -3.102587 -3.306899 -3.527805 -3.763024 -4.010655 -4.269101 -4.537015
N Bal 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
CHART MARKERS
0 0 0 0 0 0 3500 0 1000 0 500 0
100.5488 0 135.075366 0 329.004065 0 labels 1 2 3 4 5 6
SYMMETRICALLY REINFORCED RECTANGULAR COLUMN DESIGN, BENT ABOUT TWO AXES TO BS 8110:2005 CALCULATIONS - X axis III Made by RMW Job No R68
40 Bar diameter continued

Interval = -20.000 20 intervals
Solve for Nuz Nuz
310.00 320.00 330.00 340.00 350.00 360.00 370.00 380.00 390.00 400.00 380.00 360.00 340.00 320.00 300.00 280.00 260.00 240.00 220.00 200.00 180.00 160.00 140.00 120.00 100.00 80.00 60.00 40.00 20.00 0.00
1308510 1350720 1392930 1435140 1477350 1519560 1561770 1603980 1646190 1688400 1603980 1519560 1435140 1350720 1266300 1181880 1097460 1013040 928620 844200 759780 675360 590940 506520 422100 337680 253260 168840 84420 0
0.0028226 0.0028438 0.0028636 0.0028824 0.0029 0.0029167 0.0029324 0.0029474 0.0029615 0.002975 0.0029474 0.0029167 0.0028824 0.0028438 0.0028 0.00275 0.0026923 0.002625 0.0025455 0.00245 0.0023333 0.0021875 0.002 0.00175 0.0014 0.000875 0 -0.00175 -0.007 #DIV/0!
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0.0038387 0.0038281 0.0038182 0.0038088 0.0038 0.0037917 0.0037838 0.0037763 0.0037692 0.0037625 0.0037763 0.0037917 0.0038088 0.0038281 0.00385 0.003875 0.0039038 0.0039375 0.0039773 0.004025 0.0040833 0.0041563 0.00425 0.004375 0.00455 0.0048125 0.00525 0.006125 0.00875 #DIV/0!
0.0041774 0.0041563 0.0041364 0.0041176 0.0041 0.0040833 0.0040676 0.0040526 0.0040385 0.004025 0.0040526 0.0040833 0.0041176 0.0041563 0.0042 0.00425 0.0043077 0.004375 0.0044545 0.00455 0.0046667 0.0048125 0.005 0.00525 0.0056 0.006125 0.007 0.00875 0.014 #DIV/0!
0.0045161 0.0044844 0.0044545 0.0044265 0.0044 0.004375 0.0043514 0.0043289 0.0043077 0.0042875 0.0043289 0.004375 0.0044265 0.0044844 0.00455 0.004625 0.0047115 0.0048125 0.0049318 0.005075 0.00525 0.0054688 0.00575 0.006125 0.00665 0.0074375 0.00875 0.011375 0.01925 #DIV/0!
0.0048548 0.0048125 0.0047727 0.0047353 0.0047 0.0046667 0.0046351 0.0046053 0.0045769 0.00455 0.0046053 0.0046667 0.0047353 0.0048125 0.0049 0.005 0.0051154 0.00525 0.0054091 0.0056 0.0058333 0.006125 0.0065 0.007 0.0077 0.00875 0.0105 0.014 0.0245 #DIV/0!
0.0051935 0.0051406 0.0050909 0.0050441 0.005 0.0049583 0.0049189 0.0048816 0.0048462 0.0048125 0.0048816 0.0049583 0.0050441 0.0051406 0.00525 0.005375 0.0055192 0.0056875 0.0058864 0.006125 0.0064167 0.0067813 0.00725 0.007875 0.00875 0.0100625 0.01225 0.016625 0.02975 #DIV/0!
0.0055323 0.0054688 0.0054091 0.0053529 0.0053 0.00525 0.0052027 0.0051579 0.0051154 0.005075 0.0051579 0.00525 0.0053529 0.0054688 0.0056 0.00575 0.0059231 0.006125 0.0063636 0.00665 0.007 0.0074375 0.008 0.00875 0.0098 0.011375 0.014 0.01925 0.035 #DIV/0!
0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 #DIV/0!
419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 384.37 334.37 264.37 159.37 -15.63 -365.63 -1415.63 #DIV/0!
0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 #DIV/0!
419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 #DIV/0!
419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 #DIV/0!
419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 #DIV/0!
419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 #DIV/0!
419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 #DIV/0!
#DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0!
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 #DIV/0!
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 #DIV/0!
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 #DIV/0!
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 #DIV/0!
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 #DIV/0!
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 #DIV/0!
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 #DIV/0!
-139.5 -144 -148.5 -153 -157.5 -162 -166.5 -171 -175.5 -180 -171 -162 -153 -144 -135 -126 -117 -108 -99 -90 -81 -72 -63 -54 -45 -36 -27 -18 -9 0
#DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! 0
#DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! max
#DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0!
32 Bar diameter continued Interval = 25.661 20 intervals

Solve for Nuz Nuz
320.12 329.00 337.87 346.75 355.62 364.50 373.37 382.25 391.12 400.00 425.66 451.32 476.98 502.64 528.30 553.96 579.62 605.29 630.95 656.61 682.27 707.93 733.59 759.25 784.91 810.57 836.23 861.89 887.55 913.21
1351229 1388692 1426156 1463619 1501083 1538546 1576010 1613473 1650937 1688400 1796714 1876000 1876000 1876000 1876000 1876000 1876000 1876000 1876000 1876000 1876000 1876000 1876000 1876000 1876000 1876000 1876000 1876000 1876000 1876000
0.0029096 0.0029255 0.0029406 0.0029549 0.0029685 0.0029815 0.0029938 0.0030056 0.0030168 0.0030275 0.003056 0.0030812 0.0031038 0.003124 0.0031423 0.0031588 0.0031739 0.0031878 0.0032004 0.0032122 0.003223 0.003233 0.0032424 0.0032511 0.0032592 0.0032668 0.003274 0.0032807 0.0032871 0.003293
0.0013133 0.0013723 0.0014282 0.0014812 0.0015316 0.0015796 0.0016252 0.0016687 0.0017103 0.00175 0.0018555 0.001949 0.0020324 0.0021074 0.002175 0.0022364 0.0022923 0.0023435 0.0023906 0.0024339 0.002474 0.0025112 0.0025458 0.002578 0.0026082 0.0026364 0.0026629 0.0026878 0.0027113 0.0027335
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
-0.000283 -0.000181 -8.42E-05 7.54E-06 9.47E-05 0.0001776 0.0002566 0.0003319 0.0004038 0.0004725 0.000655 0.0008168 0.0009611 0.0010907 0.0012078 0.0013139 0.0014107 0.0014993 0.0015807 0.0016557 0.001725 0.0017894 0.0018492 0.001905 0.0019571 0.002006 0.0020518 0.002095 0.0021356 0.0021739
419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15
262.7 274.5 285.6 296.2 306.3 315.9 325.0 333.7 342.1 350.0 371.1 389.8 406.5 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1
0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
-56.6 -36.2 -16.8 -14.1 3.3 19.9 35.7 50.7 65.1 78.9 115.4 147.7 176.6 202.5 225.9 247.2 266.5 284.2 300.5 315.5 329.4 342.2 354.2 365.4 375.8 385.6 394.7 403.4 411.5 419.1
1011300 1011300 1011300 1011300 1011300 1011300 1011300 1011300 1011300 1011300 1011300 1011300 1011300 1011300 1011300 1011300 1011300 1011300 1011300 1011300 1011300 1011300 1011300 1011300 1011300 1011300 1011300 1011300 1011300 1011300
422494.95 441472.34 459452.71 476512.6 492721 508140 522825.91 536829.87 550198.26 562973.4 596911.86 626991.06 653833.86 674199.7 674199.7 674199.7 674199.7 674199.7 674199.7 674199.7 674199.7 674199.7 674199.7 674199.7 674199.7 674199.7 674199.7 674199.7 674199.7 674199.7
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
-136537.4 -87291.03 -40631.98 -34080.76 7979.9003 47992.215 86102.257 122442.53 157133.52 190285 278355.31 356410.83 426067.9 488612.77 545081.81 596319.34 643020.18 685761.31 725025.88 761221.47 794694.36 825740.63 854614.93 881537.48 906699.69 930268.76 952391.35 973196.64 992798.9 1011300
201.94578 197.9518 193.95783 189.96385 185.96988 181.9759 177.98193 173.98795 169.99398 166 154.4527 146 146 146 146 146 146 146 146 146 146 146 146 146 146 146 146 146 146 146
2648.4858 2754.173 2856.2759 2917.3505 3013.083 3105.9778 3196.2373 3284.045 3369.5678 3452.958 3683.2803 3870.7014 3967.2013 4050.112 4106.581 4157.8186 4204.5194 4247.2606 4286.5251 4322.7207 4356.1936 4387.2399 4416.1142 4443.0367 4468.1989 4491.768 4513.8906 4534.6959 4554.2981 4572.7988
243.17972 232.53928 221.97732 216.97186 206.48275 195.99345 185.48262 174.93093 164.32077 153.63612 122.19695 95.613752 85.44382 76.312269 68.06779 60.587111 53.768788 47.528582 41.795956 36.5114 31.624357 27.091601 22.875954 18.945262 15.271579 11.830495 8.6005973 5.5630241 2.7010938 0
8H32
105.68722 102.1029 61.0746 95.732497 92.894804 90.259477 87.80772 85.522871 83.390116 230.32239 187.42109 96.499866 82.910708 56.469035 51.23753 46.70084 42.741139 39.264563 36.195589 33.472894 31.046273 28.874299 26.922546 25.162216 23.569069 22.122584 20.805296 19.602262 18.500642 230.32239 max
-10.64044 -10.56196 -5.005468 -10.4891 -10.4893 -10.51083 -10.5517 -10.61016 -10.68465 -31.43917 -26.5832 -10.16993 -9.131551 -8.244479 -7.480679 -6.818323 -6.240206 -5.732626 -5.284556 -4.887043 -4.532756 -4.215648 -3.930692 -3.673683 -3.441084 -3.229897 -3.037573 -2.86193 -2.701094

Solve for Nuz Nuz
319.44 328.39 337.34 346.29 355.24 364.19 373.15 382.10 391.05 400.00 426.12 452.25 478.37 504.49 530.61 556.74 582.86 608.98 635.10 661.23 687.35 713.47 739.59 765.72 791.84 817.96 844.08 870.21 896.33 922.45
1348341 1386126 1423910 1461694 1499479 1537263 1575047 1612831 1650616 1688400 1798663 1876000 1876000 1876000 1876000 1876000 1876000 1876000 1876000 1876000 1876000 1876000 1876000 1876000 1876000 1876000 1876000 1876000 1876000 1876000
0.0029467 0.0029618 0.002976 0.0029896 0.0030025 0.0030147 0.0030263 0.0030374 0.003048 0.0030581 0.0030852 0.0031092 0.0031305 0.0031496 0.0031669 0.0031825 0.0031968 0.0032098 0.0032217 0.0032327 0.0032429 0.0032523 0.003261 0.0032692 0.0032768 0.0032839 0.0032906 0.0032969 0.0033028 0.0033084
0.0013086 0.0013684 0.0014249 0.0014786 0.0015295 0.0015779 0.0016241 0.001668 0.0017099 0.00175 0.0018573 0.0019522 0.0020367 0.0021125 0.0021808 0.0022427 0.002299 0.0023505 0.0023978 0.0024414 0.0024816 0.0025189 0.0025535 0.0025858 0.002616 0.0026442 0.0026707 0.0026956 0.002719 0.0027412
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
-0.000329 -0.000225 -0.000126 -3.24E-05 5.658E-05 0.0001412 0.0002218 0.0002986 0.0003719 0.0004419 0.0006293 0.0007952 0.0009429 0.0010753 0.0011946 0.0013028 0.0014013 0.0014913 0.0015739 0.00165 0.0017203 0.0017855 0.001846 0.0019025 0.0019552 0.0020045 0.0020508 0.0020943 0.0021353 0.0021739
419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15
261.7 273.7 285.0 295.7 305.9 315.6 324.8 333.6 342.0 350.0 371.5 390.4 407.3 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1
0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
-65.9 -45.0 -25.2 -6.5 -4.3 12.6 28.7 44.1 58.7 72.7 110.2 143.4 172.9 199.4 223.3 244.9 264.6 282.6 299.2 314.4 328.4 341.5 353.6 364.9 375.4 385.3 394.5 403.2 411.4 419.1
617248.26 617248.26 617248.26 617248.26 617248.26 617248.26 617248.26 617248.26 617248.26 617248.26 617248.26 617248.26 617248.26 617248.26 617248.26 617248.26 617248.26 617248.26 617248.26 617248.26 617248.26 617248.26 617248.26 617248.26 617248.26 617248.26 617248.26 617248.26 617248.26 617248.26
256951.09 268679.85 279786.14 290318.25 300319.58 309829.26 318882.68 327511.91 335746.07 343611.7 364676.08 383307 399903.2 411498.84 411498.84 411498.84 411498.84 411498.84 411498.84 411498.84 411498.84 411498.84 411498.84 411498.84 411498.84 411498.84 411498.84 411498.84 411498.84 411498.84
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
-97016.19 -66272.19 -37159.81 -9552.515 -6358.52 18568.737 42300.018 64919.38 86503.182 107120.95 162336 211172.35 254675 293672.59 328830.37 360688.88 389691.72 416206.37 440539.86 462950.71 483658.11 502849.18 520684.58 537303.07 552825.08 567355.66 580986.86 593799.67 605865.66 617248.26
205.75358 201.7254 197.69723 193.66905 189.64088 185.6127 181.58453 177.55635 173.52818 169.5 157.74486 149.5 149.5 149.5 149.5 149.5 149.5 149.5 149.5 149.5 149.5 149.5 149.5 149.5 149.5 149.5 149.5 149.5 149.5 149.5
2125.5246 2205.7817 2283.7846 2359.7083 2410.6879 2482.9091 2553.4781 2622.511 2690.1132 2756.3809 2942.9236 3087.7276 3147.8265 3198.4197 3233.5775 3265.436 3294.4388 3320.9535 3345.287 3367.6978 3388.4052 3407.5963 3425.4317 3442.0502 3457.5722 3472.1028 3485.734 3498.5468 3510.6128 3521.9954
182.63156 174.57728 166.46252 158.26836 153.4196 145.0173 136.4894 127.82333 119.00767 110.03203 82.839107 60.708348 54.204695 48.374562 43.118474 38.355627 34.019703 30.055762 26.417905 23.067484 19.971727 17.102663 14.43627 11.951806 9.6312657 7.4589439 5.4210793 3.5055633 1.7016987 0
80.257037 78.002958 75.923681 50.979603 72.221221 70.568985 69.032871 67.602247 66.267669 186.54266 144.80408 60.098859 50.59319 35.15778 31.858508 29.002836 26.514652 24.333493 22.410843 20.707402 19.191068 17.835405 16.618488 15.522008 14.530581 13.631201 12.812816 12.065984 11.3826 186.54266 max
-8.054284 -8.11476 -8.194153 -4.848769 -8.402295 -8.5279 -8.666071 -8.815658 -8.975639 -27.19293 -22.13076 -6.503653 -5.830134 -5.256088 -4.762847 -4.335924 -3.96394 -3.637857 -3.350421 -3.095757 -2.869065 -2.666393 -2.484464 -2.32054 -2.172322 -2.037865 -1.915516 -1.803865 -1.701699
SYMMETRICALLY REINFORCED RECTANGULAR COLUMN DESIGN, BENT ABOUT TWO AXES TO BS 8110:2005 CALCULATIONS - X axis IV Made by RMW Job No R68

Solve for Nuz Nuz
316.37 325.66 334.96 344.25 353.54 362.83 372.12 381.42 390.71 400.00 426.72 453.43 480.15 506.87 533.58 560.30 587.01 613.73 640.45 667.16 693.88 720.60 747.31 774.03 800.75 827.46 854.18 880.90 907.61 934.33
1335406 1374628 1413849 1453071 1492292 1531514 1570735 1609957 1649178 1688400 1801170 1876000 1876000 1876000 1876000 1876000 1876000 1876000 1876000 1876000 1876000 1876000 1876000 1876000 1876000 1876000 1876000 1876000 1876000 1876000
0.0029911 0.0030056 0.0030193 0.0030323 0.0030446 0.0030563 0.0030673 0.0030779 0.0030879 0.0030975 0.0031227 0.0031449 0.0031647 0.0031824 0.0031983 0.0032127 0.0032257 0.0032377 0.0032486 0.0032587 0.003268 0.0032766 0.0032846 0.003292 0.0032989 0.0033054 0.0033115 0.0033172 0.0033226 0.0033277
0.0012874 0.0013505 0.0014102 0.0014666 0.00152 0.0015707 0.0016189 0.0016647 0.0017084 0.00175 0.0018596 0.0019562 0.0020421 0.002119 0.0021881 0.0022507 0.0023075 0.0023594 0.002407 0.0024508 0.0024912 0.0025286 0.0025633 0.0025956 0.0026258 0.002654 0.0026805 0.0027054 0.0027287 0.0027508
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
-0.000416 -0.000305 -0.000199 -9.91E-05 -4.55E-06 8.52E-05 0.0001705 0.0002516 0.0003288 0.0004025 0.0005964 0.0007675 0.0009196 0.0010556 0.001178 0.0012887 0.0013893 0.0014812 0.0015654 0.0016429 0.0017144 0.0017806 0.0018421 0.0018993 0.0019527 0.0020027 0.0020495 0.0020935 0.0021349 0.0021739
419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15
257.5 270.1 282.0 293.3 304.0 314.1 323.8 332.9 341.7 350.0 371.9 391.2 408.4 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1
0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
-83.3 -60.9 -39.8 -19.8 -0.9 1.4 18.5 34.7 50.1 64.9 103.7 137.9 168.3 195.5 220.0 242.1 262.2 280.6 297.4 312.9 327.2 340.5 352.8 364.2 374.9 384.9 394.3 403.1 411.3 419.1
395038.89 395038.89 395038.89 395038.89 395038.89 395038.89 395038.89 395038.89 395038.89 395038.89 395038.89 395038.89 395038.89 395038.89 395038.89 395038.89 395038.89 395038.89 395038.89 395038.89 395038.89 395038.89 395038.89 395038.89 395038.89 395038.89 395038.89 395038.89 395038.89 395038.89
161781.32 169714.53 177207.6 184296.16 191012.1 197384.06 203437.8 209196.58 214681.45 219911.49 233680 245826 256620.34 263359.26 263359.26 263359.26 263359.26 263359.26 263359.26 263359.26 263359.26 263359.26 263359.26 263359.26 263359.26 263359.26 263359.26 263359.26 263359.26 263359.26
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
-78466.14 -57403.45 -37509.35 -18689.23 -858.3975 1325.0838 17397.766 32687.328 47249.643 61135.393 97690.743 129938.39 158597.4 184235.23 207305.69 228176 247146.68 264465.69 280339.77 294942.5 308420.74 320899.55 332486.14 343272.88 353339.83 362756.71 371584.53 379876.88 387681 395038.89
211.6326 207.4512 203.2698 199.0884 194.907 190.7256 186.5442 182.3628 178.1814 174 161.97762 154 154 154 154 154 154 154 154 154 154 154 154 154 154 154 154 154 154 154
1813.7603 1881.9777 1948.5864 2013.7166 2077.4849 2125.2619 2186.6099 2246.8797 2306.1484 2364.4858 2527.5795 2646.8033 2686.2566 2718.6334 2741.7038 2762.5742 2781.5448 2798.8638 2814.7379 2829.3406 2842.8189 2855.2977 2866.8843 2877.671 2887.738 2897.1549 2905.9827 2914.275 2922.0792 2929.437
149.88271 143.15162 136.2725 129.23077 122.01338 116.87769 109.27506 101.46503 93.438987 85.189138 60.160668 40.825477 36.411989 32.463763 28.910912 25.696878 22.7754 20.108272 17.663664 15.414843 13.339195 11.417457 9.6331232 7.9719655 6.4216548 4.9714543 3.6119706 2.3349495 1.133109 0
8H20
68.217439 66.60869 65.130213 63.76831 47.776972 61.347956 60.269874 59.268711 58.337319 163.09374 119.22375 39.453361 32.376749 23.070464 20.870352 18.970636 17.319011 15.874079 14.602733 13.478238 12.478817 11.586583 10.786738 10.066952 9.4168862 8.8278169 8.2923446 7.8041588 7.3578508 163.09374 max
-6.731084 -6.879122 -7.041732 -7.217383 -5.135693 -7.602632 -7.810033 -8.026039 -8.24985 -25.02847 -19.33519 -4.413487 -3.948226 -3.552851 -3.214034 -2.921478 -2.667128 -2.444608 -2.248821 -2.075649 -1.921738 -1.784334 -1.661158 -1.550311 -1.4502 -1.359484 -1.277021 -1.20184 -1.133109

Solve for Nuz Nuz
313.20 322.85 332.49 342.14 351.78 361.42 371.07 380.71 390.36 400.00 426.98 453.96 480.94 507.92 534.90 561.88 588.86 615.84 642.82 669.80 696.78 723.76 750.74 777.72 804.70 831.69 858.67 885.65 912.63 939.61
1322034 1362741 1403449 1444156 1484863 1525571 1566278 1606985 1647693 1688400 1802284 1876000 1876000 1876000 1876000 1876000 1876000 1876000 1876000 1876000 1876000 1876000 1876000 1876000 1876000 1876000 1876000 1876000 1876000 1876000
0.0030083 0.003023 0.0030368 0.0030499 0.0030622 0.0030739 0.003085 0.0030955 0.0031055 0.003115 0.0031393 0.0031608 0.0031798 0.0031968 0.0032121 0.0032259 0.0032385 0.0032499 0.0032604 0.0032701 0.003279 0.0032872 0.0032949 0.003302 0.0033086 0.0033148 0.0033207 0.0033261 0.0033313 0.0033361
0.001265 0.0013318 0.0013947 0.001454 0.0015101 0.0015632 0.0016136 0.0016613 0.0017068 0.00175 0.0018606 0.001958 0.0020445 0.0021218 0.0021913 0.0022542 0.0023113 0.0023633 0.0024111 0.0024549 0.0024954 0.0025328 0.0025676 0.0025999 0.0026301 0.0026583 0.0026848 0.0027096 0.002733 0.002755
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
-0.000478 -0.000359 -0.000247 -0.000142 -4.2E-05 5.253E-05 0.0001421 0.0002272 0.000308 0.000385 0.0005818 0.0007553 0.0009092 0.0010469 0.0011706 0.0012825 0.0013841 0.0014768 0.0015617 0.0016398 0.0017118 0.0017784 0.0018403 0.0018979 0.0019516 0.0020018 0.0020489 0.0020931 0.0021347 0.0021739
419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15
253.0 266.4 278.9 290.8 302.0 312.6 322.7 332.3 341.4 350.0 372.1 391.6 408.9 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1
0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
-95.6 -71.9 -49.5 -28.4 -8.4 -5.1 12.8 29.8 46.0 61.4 100.7 135.4 166.2 193.7 218.5 240.9 261.2 279.7 296.7 312.3 326.7 340.1 352.4 363.9 374.7 384.7 394.1 403.0 411.3 419.1
252824.89 252824.89 252824.89 252824.89 252824.89 252824.89 252824.89 252824.89 252824.89 252824.89 252824.89 252824.89 252824.89 252824.89 252824.89 252824.89 252824.89 252824.89 252824.89 252824.89 252824.89 252824.89 252824.89 252824.89 252824.89 252824.89 252824.89 252824.89 252824.89 252824.89
101740.15 107109.47 112167.32 116940 121451.05 125721.34 129769.66 133612.87 137266.19 140743.35 149636.74 157473 164430.05 168549.92 168549.92 168549.92 168549.92 168549.92 168549.92 168549.92 168549.92 168549.92 168549.92 168549.92 168549.92 168549.92 168549.92 168549.92 168549.92 168549.92
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
-57693.25 -43357.15 -29852.7 -17109.56 -5065.128 -3093.27 7715.7387 17977.131 27731.494 37015.501 60760.847 81683.67 100259 116860.91 131788 145281.61 157538.7 168721.82 178966.19 188385.25 197074.88 205116.65 212580.4 219526.3 226006.44 232066.13 237745 243077.9 248095.47 252824.89
215.0582 210.7184 206.3786 202.0388 197.699 193.3592 189.0194 184.6796 180.3398 176 163.85885 156 156 156 156 156 156 156 156 156 156 156 156 156 156 156 156 156 156 156
1618.9059 1679.3186 1738.5882 1796.8114 1854.0742 1901.0237 1956.5883 2011.4002 2065.5153 2118.9837 2265.5064 2367.9816 2393.5139 2414.2357 2429.1628 2442.6564 2454.9135 2466.0966 2476.341 2485.7601 2494.4497 2502.4915 2509.9552 2516.9011 2523.3812 2529.4409 2535.1198 2540.4527 2545.4703 2550.1997
126.51778 120.77143 114.80149 108.59699 102.14816 96.917333 89.954588 82.723947 75.219079 67.434264 44.125874 26.69803 23.800279 21.210381 18.88175 16.776751 14.864644 13.120078 11.521957 10.052583 8.6970007 7.442485 6.2781392 5.1945788 4.1836782 3.2383659 2.3524593 1.5205293 0.7377887 0
60.412746 59.269626 58.223172 57.262783 46.949469 55.56465 54.811934 54.115007 53.468488 146.5227 102.47512 25.532372 20.721786 14.927119 13.493585 12.257094 11.183117 10.24437 9.4190634 8.6896277 8.0417673 7.4637555 6.9458997 6.4801324 6.0596942 5.6788881 5.3328847 5.0175684 4.7294145 146.5227 max
-5.746355 -5.969942 -6.2045 -6.448826 -5.230827 -6.962746 -7.230641 -7.504868 -7.784815 -23.30839 -17.42784 -2.89775 -2.589898 -2.328631 -2.104999 -1.912107 -1.744566 -1.598122 -1.469374 -1.355582 -1.254516 -1.164346 -1.08356 -1.010901 -0.945312 -0.885907 -0.83193 -0.782741 -0.737789
12 Bar diameter continued

Interval = 27.244 20 intervals
Solve for Nuz Nuz
312.42 322.15 331.88 341.61 351.34 361.07 370.81 380.54 390.27 400.00 427.24 454.49 481.73 508.98 536.22 563.47 590.71 617.95 645.20 672.44 699.69 726.93 754.18 781.42 808.66 835.91 863.15 890.40 917.64 944.89
1318710 1359787 1400863 1441940 1483017 1524093 1565170 1606247 1647323 1688400 1803398 1876000 1876000 1876000 1876000 1876000 1876000 1876000 1876000 1876000 1876000 1876000 1876000 1876000 1876000 1876000 1876000 1876000 1876000 1876000
0.0030295 0.0030437 0.0030571 0.0030697 0.0030816 0.0030929 0.0031036 0.0031137 0.0031233 0.0031325 0.0031559 0.0031766 0.0031949 0.0032112 0.0032259 0.0032391 0.0032511 0.0032621 0.0032722 0.0032814 0.0032899 0.0032978 0.0033051 0.0033119 0.0033182 0.0033241 0.0033297 0.0033349 0.0033398 0.0033444
0.0012594 0.0013271 0.0013908 0.0014509 0.0015076 0.0015613 0.0016122 0.0016605 0.0017064 0.00175 0.0018616 0.0019598 0.0020469 0.0021247 0.0021946 0.0022577 0.002315 0.0023672 0.0024151 0.002459 0.0024996 0.002537 0.0025718 0.0026042 0.0026344 0.0026626 0.002689 0.0027138 0.0027372 0.0027592
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
-0.000511 -0.00039 -0.000275 -0.000168 -6.63E-05 2.98E-05 0.0001209 0.0002073 0.0002894 0.0003675 0.0005673 0.0007431 0.000899 0.0010382 0.0011633 0.0012763 0.0013788 0.0014723 0.001558 0.0016366 0.0017092 0.0017763 0.0018386 0.0018965 0.0019505 0.002001 0.0020483 0.0020928 0.0021345 0.0021739
419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15
251.9 265.4 278.2 290.2 301.5 312.3 322.4 332.1 341.3 350.0 372.3 392.0 409.4 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1
0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
-102.1 -77.9 -55.1 -33.6 -13.3 -9.7 8.5 25.8 42.2 57.9 97.8 133.0 164.2 192.0 217.0 239.6 260.1 278.8 296.0 311.7 326.2 339.6 352.1 363.7 374.5 384.6 394.0 402.9 411.3 419.1
142214 142214 142214 142214 142214 142214 142214 142214 142214 142214 142214 142214 142214 142214 142214 142214 142214 142214 142214 142214 142214 142214 142214 142214 142214 142214 142214 142214 142214 142214
56973.973 60035.942 62918.343 65636.521 68204.122 70633.323 72935.018 75118.99 77194.046 79168.135 84216.482 88659.584 92600.13 94809.332 94809.332 94809.332 94809.332 94809.332 94809.332 94809.332 94809.332 94809.332 94809.332 94809.332 94809.332 94809.332 94809.332 94809.332 94809.332 94809.332
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
-34653.36 -26431.98 -18692.73 -11394.42 -4500.411 -3282.274 2897.778 8761.7437 14333.269 19633.697 33188.51 45118.239 55698.604 65146.287 73633.937 81300.811 88260.473 94606.462 100416.52 105755.78 110679.24 115233.66 119459 123389.75 127055.62 130482.54 133693.12 136707.23 139542.36 142214
217.41258 213.0334 208.65423 204.27505 199.89588 195.5167 191.13753 186.75835 182.37918 178 165.74008 158 158 158 158 158 158 158 158 158 158 158 158 158 158 158 158 158 158 158
1483.2447 1535.6047 1587.303 1638.3961 1688.9344 1733.6584 1783.2168 1832.3414 1881.0647 1929.4158 2063.017 2151.9918 2166.5127 2178.1696 2186.6573 2194.3241 2201.2838 2207.6298 2213.4398 2218.7791 2223.7026 2228.257 2232.4824 2236.4131 2240.079 2243.5059 2246.7165 2249.7306 2252.5657 2255.2373
106.293 101.47975 96.382911 90.995977 85.313159 80.167364 73.877823 67.27846 60.365539 53.135688 31.184476 15.34113 13.669432 12.176698 10.83565 9.6242837 8.5246571 7.5219908 6.604002 5.7603986 4.9824912 4.2628934 3.595286 2.9742309 2.395023 1.8535708 1.346299 0.87007 0.4221191 0
8H12
52.360017 51.698307 51.093148 50.538274 44.723999 49.558408 49.1246 48.723243 48.351179 133.60119 88.9748 14.52091 11.656886 8.4876503 7.6668734 6.9596622 6.3459892 5.8100554 5.3392623 4.9234642 4.5544164 4.2253637 3.9307284 3.6658723 3.4269131 3.2105812 3.0141071 2.8351327 2.6716396 133.60119 max
-4.813253 -5.096838 -5.386934 -5.682819 -5.145795 -6.289541 -6.599363 -6.912921 -7.229852 -21.95121 -15.84335 -1.671698 -1.492734 -1.341049 -1.211366 -1.099627 -1.002666 -0.917989 -0.843603 -0.777907 -0.719598 -0.667607 -0.621055 -0.579208 -0.541452 -0.507272 -0.476229 -0.447951 -0.422119
0 0 0 0 0 0 0 0 0 1881.0647 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1881.0647 max
SYMMETRICALLY REINFORCED RECTANGULAR COLUMN DESIGN, BENT ABOUT TWO AXES TO BS 8110:2005
CALCULATIONS - Y axis I Made by RMW Job No R68
CALCULATIONS - Y axis
0.00 267.05
.67fcu/γm = 15.63 N/mm² ALL CALCULATIONS DERIVED FROM 420.00 420.00
fy/γm = 434.78 N/mm² FIGURE 3.3 AND CLAUSE 3.4.4.1
net fy/γm = 419.15 N/mm²
40 Bar diameter
d' = 60 mm d= 0 mm Asc = 0 mm² spacing = -30 mm
n/d = 0.1500
n Neutral axis 0.00 7.50 15.00 22.50 30.00 37.50 45.00 52.50 60.00 67.50 75.00 82.50 90.00 97.50 105.00 112.50 120.00 127.50 135.00 142.50 150.00 157.50 165.00 172.50 180.00 187.50 195.00 202.50 210.00 217.50 225.00
Fc Conc comp force 0 42210 84420 126630 168840 211050 253260 295470 337680 379890 422100 464310 506520 548730 590940 633150 675360 717570 759780 801990 844200 886410 928620 970830 1013040 1055250 1097460 1139670 1181880 1224090 1266300
2 inter d' 0.00
3 inter d' 0.00
4 inter d' -30.00
5 inter d' -60.00
6 inter d' -90.00
7 inter d' -120.00
8 inter d' -150.00
9 inter d' -180.00
c strain Steel comp strain #DIV/0! -0.0245 -0.0105 -0.005833 -0.0035 -0.0021 -0.001167 -0.0005 0 0.000389 0.0007 0.000955 0.001167 0.001346 0.0015 0.001633 0.00175 0.001853 0.001944 0.002026 0.0021 0.002167 0.002227 0.002283 0.002333 0.00238 0.002423 0.002463 0.0025 0.002534 0.002567
2 inter strain 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
3 inter strain 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
4 inter strain #DIV/0! 0.0175 0.0105 0.008167 0.007 0.0063 0.005833 0.0055 0.00525 0.005056 0.0049 0.004773 0.004667 0.004577 0.0045 0.004433 0.004375 0.004324 0.004278 0.004237 0.0042 0.004167 0.004136 0.004109 0.004083 0.00406 0.004038 0.004019 0.004 0.003983 0.003967
5 inter strain #DIV/0! 0.0315 0.0175 0.012833 0.0105 0.0091 0.008167 0.0075 0.007 0.006611 0.0063 0.006045 0.005833 0.005654 0.0055 0.005367 0.00525 0.005147 0.005056 0.004974 0.0049 0.004833 0.004773 0.004717 0.004667 0.00462 0.004577 0.004537 0.0045 0.004466 0.004433
6 inter strain #DIV/0! 0.0455 0.0245 0.0175 0.014 0.0119 0.0105 0.0095 0.00875 0.008167 0.0077 0.007318 0.007 0.006731 0.0065 0.0063 0.006125 0.005971 0.005833 0.005711 0.0056 0.0055 0.005409 0.005326 0.00525 0.00518 0.005115 0.005056 0.005 0.004948 0.0049
7 inter strain #DIV/0! 0.0595 0.0315 0.022167 0.0175 0.0147 0.012833 0.0115 0.0105 0.009722 0.0091 0.008591 0.008167 0.007808 0.0075 0.007233 0.007 0.006794 0.006611 0.006447 0.0063 0.006167 0.006045 0.005935 0.005833 0.00574 0.005654 0.005574 0.0055 0.005431 0.005367
8 inter strain #DIV/0! 0.0735 0.0385 0.026833 0.021 0.0175 0.015167 0.0135 0.01225 0.011278 0.0105 0.009864 0.009333 0.008885 0.0085 0.008167 0.007875 0.007618 0.007389 0.007184 0.007 0.006833 0.006682 0.006543 0.006417 0.0063 0.006192 0.006093 0.006 0.005914 0.005833
9 inter strain #DIV/0! 0.0875 0.0455 0.0315 0.0245 0.0203 0.0175 0.0155 0.014 0.012833 0.0119 0.011136 0.0105 0.009962 0.0095 0.0091 0.00875 0.008441 0.008167 0.007921 0.0077 0.0075 0.007318 0.007152 0.007 0.00686 0.006731 0.006611 0.0065 0.006397 0.0063
t strain Steel tens strain #DIV/0! 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035
fsc Steel comp stress #DIV/0! -4915.63 -2115.63 -1182.30 -715.63 -435.63 -248.97 -115.63 -15.63 62.14 124.37 175.28 217.70 253.60 284.37 311.03 334.37 354.95 373.26 389.63 404.37 417.70 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15
2 inter stress 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
3 inter stress 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
4 inter stress #DIV/0! 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1
5 inter stress #DIV/0! 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1
6 inter stress #DIV/0! 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1
7 inter stress #DIV/0! 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1
8 inter stress #DIV/0! 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1
9 inter stress #DIV/0! 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1
fst Steel tens stress #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0!
Fsc Steel comp force #DIV/0! 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
2 inter Fs 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
3 inter Fs 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
4 inter Fs #DIV/0! 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
5 inter Fs #DIV/0! 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
6 inter Fs #DIV/0! 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
7 inter Fs #DIV/0! 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
8 inter Fs #DIV/0! 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
9 inter Fs #DIV/0! 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
Fst Steel tens force #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0!
z Conc lever arm 0 -3.375 -6.75 -10.125 -13.5 -16.875 -20.25 -23.625 -27 -30.375 -33.75 -37.125 -40.5 -43.875 -47.25 -50.625 -54 -57.375 -60.75 -64.125 -67.5 -70.875 -74.25 -77.625 -81 -84.375 -87.75 -91.125 -94.5 -97.875 -101.25
N Fc + Fsc - Fst #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0!
M MOR #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0!
N diff #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0!
M diff #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0!
N Bal #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0!
32 Bar diameter
d' = 54 mm d= 246 mm Asc = 6434 mm² spacing = 96 mm
n/d = 0.1300
n Neutral axis 31.98 38.68 45.38 52.08 58.78 65.48 72.18 78.88 85.58 92.28 98.99 105.69 112.39 119.09 125.79 132.49 139.19 145.89 152.59 159.29 165.99 172.69 179.39 186.09 192.79 199.49 206.19 212.89 219.59 226.29 233.00
Fc Conc comp force 179983.4 217693.9 255404.3 293114.7 330825.1 368535.5 406245.9 443956.3 481666.8 519377.2 557087.6 594798 632508.4 670218.8 707929.2 745639.7 783350.1 821060.5 858770.9 896481.3 934191.7 971902.1 1009613 1047323 1085033 1122744 1160454 1198165 1235875 1273585 1311296
2 inter d' 150.00
3 inter d' 0.00
4 inter d' 0.00
5 inter d' 0.00
6 inter d' 0.00
7 inter d' 0.00
8 inter d' 0.00
9 inter d' 0.00
2 inter strain -0.012917 -0.010073 -0.008069 -0.00658 -0.005431 -0.004517 -0.003773 -0.003155 -0.002634 -0.002189 -0.001804 -0.001468 -0.001171 -0.000909 -0.000674 -0.000463 -0.000272 -9.86E-05 5.94E-05 0.000204 0.000337 0.00046 0.000573 0.000679 0.000777 0.000868 0.000954 0.001034 0.001109 0.00118 0.001247
3 inter strain 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
4 inter strain 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
5 inter strain 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
6 inter strain 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
7 inter strain 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
8 inter strain 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
9 inter strain 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
2 inter stress -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -360.8 -293.5 -234.3 -181.7 -134.7 -92.5 -54.4 -19.7 11.9 40.8 67.4 92.0 114.7 135.8 155.4 173.7 190.8 206.8 221.8 236.0 249.3
3 inter stress 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
4 inter stress 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
5 inter stress 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
6 inter stress 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
7 inter stress 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
8 inter stress 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
9 inter stress 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
Fsc Steel comp force -1200634 -706620 -358488 -99933.12 99676.86 258436.6 387722.2 495044.2 585561.5 662934.4 729832.2 788247.3 839697 885356.9 926152.4 962821.4 995959.9 1011300 1011300 1011300 1011300 1011300 1011300 1011300 1011300 1011300 1011300 1011300 1011300 1011300 1011300
2 inter Fs -699346 -699346 -699346 -699346 -699346 -699346 -699346 -699346 -699346 -699346 -580292 -472116 -376838 -292283 -216736 -148830 -87462.55 -31732 19104.11 65663.35 108463.7 147942.7 184472.5 218371.7 249914.5 279338.4 306850 332629.9 356836.4 379609.5 401072.8
3 inter Fs 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
4 inter Fs 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
5 inter Fs 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
6 inter Fs 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
7 inter Fs 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
8 inter Fs 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
9 inter Fs 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
Fst Steel tens force -1049019 -1049019 -1049019 -1049019 -1049019 -1049019 -1049019 -1049019 -1049019 -1049019 -1049019 -1049019 -1049019 -1049019 -1049019 -1049019 -1049019 -1049019 -1033913 -919377 -814088 -716970 -627107 -543715 -466119 -393736 -326058 -262639 -203091 -147069 -94269.87
z Conc lever arm 231.609 228.5938 225.5786 222.5633 219.5481 216.5329 213.5177 210.5024 207.4872 204.472 201.4568 198.4415 195.4263 192.4111 189.3959 186.3806 183.3654 180.3502 177.335 174.3197 171.3045 168.2893 165.2741 162.2588 159.2436 156.2284 153.2132 150.1979 147.1827 144.1675 141.1523
N Fc + Fsc - Fst 0 0 0 0 0 0 0 0 0 0 0 0 46.34819 214.274 368.327 510.6121 642.8287 751.6093 855.2617 1054.067 1239.867 1414.174 1578.278 1733.28 1880.128 2019.645 2152.546 2279.455 2400.92 2517.425 2629.398
M MOR 0 0 0 0 0 0 0 0 0 0 0 238.0928 244.2047 250.3166 255.7341 260.528 264.7556 267.0472 266.1885 255.5571 245.5861 236.172 227.2269 218.6758 210.4536 202.5045 194.7796 187.2362 179.8369 172.5488 165.3426
Labels for chart
N diff 0 0 0 0 0 0 0 0 0 0 0 46.34819 167.9258 154.053 142.2851 132.2166 108.7806 103.6524 198.8054 185.7996 174.3077 164.1035 155.0016 146.8486 139.5172 132.9006 126.9086 121.4652 116.5053 111.9733 107.8214
M diff 0 0 0 0 0 0 0 0 0 0 238.0928 6.111901 6.111901 5.4175 4.793952 4.227614 2.291505 -0.858677 -10.63135 -9.971058 -9.414097 -8.945027 -8.551191 -8.222129 -7.949139 -7.724933 -7.543369 -7.399242 -7.288118 -7.206201 -7.150225
25 Bar diameter
d' = 50.5 mm d= 249.5 mm Asc = 3927 mm² spacing = 99.5 mm
n/d = 0.1200
n Neutral axis 29.94 36.69 43.44 50.19 56.95 63.70 70.45 77.20 83.95 90.70 97.46 104.21 110.96 117.71 124.46 131.21 137.96 144.72 151.47 158.22 164.97 171.72 178.47 185.22 191.98 198.73 205.48 212.23 218.98 225.73 232.49
Fc Conc comp force 168502.3 206499.8 244497.2 282494.6 320492.1 358489.5 396487 434484.4 472481.9 510479.3 548476.7 586474.2 624471.6 662469.1 700466.5 738464 776461.4 814458.8 852456.3 890453.7 928451.2 966448.6 1004446 1042443 1080441 1118438 1156436 1194433 1232431 1270428 1308426
2 inter d' 150.00
3 inter d' 0.00
4 inter d' 0.00
5 inter d' 0.00
6 inter d' 0.00
7 inter d' 0.00
8 inter d' 0.00
9 inter d' 0.00
c strain Steel comp strain -0.002403 -0.001317 -0.000569 -2.13E-05 0.000396 0.000725 0.000991 0.001211 0.001395 0.001551 0.001686 0.001804 0.001907 0.001998 0.00208 0.002153 0.002219 0.002279 0.002333 0.002383 0.002429 0.002471 0.00251 0.002546 0.002579 0.002611 0.00264 0.002667 0.002693 0.002717 0.00274
2 inter strain -0.014035 -0.010808 -0.008585 -0.006959 -0.005719 -0.004742 -0.003952 -0.0033 -0.002754 -0.002288 -0.001887 -0.001538 -0.001232 -0.00096 -0.000718 -0.000501 -0.000305 -0.000128 3.39E-05 0.000182 0.000318 0.000443 0.000558 0.000666 0.000765 0.000858 0.000945 0.001026 0.001103 0.001174 0.001242
3 inter strain 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
4 inter strain 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
5 inter strain 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
6 inter strain 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
7 inter strain 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
8 inter strain 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
9 inter strain 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
2 inter stress -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -377.4 -307.6 -246.3 -192.0 -143.6 -100.2 -61.1 -25.6 6.8 36.4 63.5 88.5 111.7 133.1 153.1 171.6 189.0 205.3 220.5 234.8 248.4
3 inter stress 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
4 inter stress 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
5 inter stress 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
6 inter stress 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
7 inter stress 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
8 inter stress 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
9 inter stress 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
Fsc Steel comp force -730903 -410967 -190474 -29296 93663.35 190557 268879 333501.8 387730.5 433886.3 473646.9 508255.3 538652.1 565561.9 589552.2 611073.7 617248.3 617248.3 617248.3 617248.3 617248.3 617248.3 617248.3 617248.3 617248.3 617248.3 617248.3 617248.3 617248.3 617248.3 617248.3
2 inter Fs -426847 -426847 -426847 -426847 -426847 -426847 -426847 -426847 -426847 -426847 -370532 -302000 -241808 -188522 -141016 -98399.23 -59953.47 -25095 6655.95 35697.12 62361.24 86928.68 109637.4 130690.6 150263 168505.5 185549.2 201508.5 216483.7 230563.2 243824.9
3 inter Fs 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
4 inter Fs 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
5 inter Fs 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
6 inter Fs 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
7 inter Fs 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
8 inter Fs 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
9 inter Fs 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
Fst Steel tens force -640270 -640270 -640270 -640270 -640270 -640270 -640270 -640270 -640270 -640270 -640270 -640270 -640270 -640270 -640270 -640270 -640270 -640270 -640270 -594723 -528196 -466900 -410242 -357714 -308881 -263366 -220842 -181024 -143660 -108532 -75444.26
z Conc lever arm 236.027 232.9888 229.9507 226.9125 223.8743 220.8361 217.798 214.7598 211.7216 208.6834 205.6453 202.6071 199.5689 196.5307 193.4926 190.4544 187.4162 184.378 181.3399 178.3017 175.2635 172.2253 169.1872 166.149 163.1108 160.0726 157.0345 153.9963 150.9581 147.9199 144.8818
N Fc + Fsc - Fst 0 0 0 0 0 0 0 0 0 0 11.32179 152.4592 281.045 399.2391 508.7324 610.8682 693.4859 766.3419 836.0902 948.6761 1079.865 1203.725 1321.09 1432.668 1539.071 1640.826 1738.391 1832.167 1922.502 2009.707 2094.054
M MOR 0 0 0 0 0 0 0 0 0 163.358 169.053 174.7479 179.793 184.2601 188.206 191.6752 193.3866 194.2527 194.888 190.7604 184.3144 178.1581 172.2323 166.4866 160.8776 155.3679 149.9249 144.5202 139.1289 133.7292 128.3015
N diff 0 0 0 0 0 0 0 0 0 11.32179 141.1374 128.5858 118.194 109.4933 102.1357 82.61778 72.85594 69.74837 112.5859 131.1885 123.8606 117.3643 111.5784 106.403 101.755 97.5652 93.77525 90.33584 87.20505 84.34701 81.73095
M diff 0 0 0 0 0 0 0 0 163.358 5.694976 5.694976 5.045029 4.467192 3.945816 3.469282 1.711379 0.866122 0.635236 -4.127605 -6.445969 -6.156348 -5.925798 -5.745707 -5.608975 -5.509712 -5.442992 -5.404675 -5.391257 -5.39976 -5.427638 -5.472702
Originated from RCC53.xls v4.0 on CD © 2006 TCC
CALCULATIONS - Y axis II Made by RMW
Date
Job No R68
2-Feb-22
20 Bar diameter
n/d = 0.0800
n Neutral axis 20.32 27.31 34.30 41.30 48.29 55.28 62.27 69.26 76.26 83.25 90.24 97.23 104.22 111.22 118.21 125.20 132.19 139.18 146.18 153.17 160.16 167.15 174.14 181.14 188.13 195.12 202.11 209.10 216.10 223.09 230.08
Fc Conc comp force 114361 153711.9 193062.9 232413.9 271764.9 311115.8 350466.8 389817.8 429168.8 468519.7 507870.7 547221.7 586572.7 625923.6 665274.6 704625.6 743976.6 783327.6 822678.5 862029.5 901380.5 940731.5 980082.4 1019433 1058784 1098135 1137486 1176837 1216188 1255539 1294890
2 inter d' 150.00
3 inter d' 0.00
4 inter d' 0.00
5 inter d' 0.00
6 inter d' 0.00
7 inter d' 0.00
8 inter d' 0.00
9 inter d' 0.00
2 inter strain -0.022337 -0.015722 -0.011804 -0.009213 -0.007372 -0.005997 -0.004931 -0.00408 -0.003385 -0.002806 -0.002318 -0.001899 -0.001537 -0.001221 -0.000941 -0.000693 -0.000471 -0.000272 -9.16E-05 7.24E-05 0.000222 0.000359 0.000485 0.000602 0.000709 0.000809 0.000902 0.000989 0.001071 0.001147 0.001218
3 inter strain 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
4 inter strain 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
5 inter strain 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
6 inter strain 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
7 inter strain 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
8 inter strain 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
9 inter strain 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
2 inter stress -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -379.9 -307.4 -244.1 -188.3 -138.7 -94.3 -54.4 -18.3 14.5 44.4 71.8 97.1 120.3 141.9 161.9 180.5 197.9 214.1 229.3 243.6
3 inter stress 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
4 inter stress 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
5 inter stress 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
6 inter stress 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
7 inter stress 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
8 inter stress 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
9 inter stress 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
Fsc Steel comp force -848493 -466152 -239672 -89884 16525.71 96017.3 157658 206853.8 247028 280453.7 308699.6 332883.1 353821.9 372127.9 388268.3 395038.9 395038.9 395038.9 395038.9 395038.9 395038.9 395038.9 395038.9 395038.9 395038.9 395038.9 395038.9 395038.9 395038.9 395038.9 395038.9
2 inter Fs -273182 -273182 -273182 -273182 -273182 -273182 -273182 -273182 -273182 -273182 -273182 -238693 -193174 -153378 -118290 -87121.48 -59249.94 -34178.68 -11505.88 9096.934 27900.86 45131.64 60978.76 75602.46 89139.15 101705.7 113402.7 124317.5 134526 144094.6 153081.6
3 inter Fs 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
4 inter Fs 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
5 inter Fs 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
6 inter Fs 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
7 inter Fs 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
8 inter Fs 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
9 inter Fs 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
Fst Steel tens force -409773 -409773 -409773 -409773 -409773 -409773 -409773 -409773 -409773 -409773 -409773 -409773 -409773 -409773 -409773 -409773 -409773 -409773 -409773 -409773 -386548 -342782 -302530 -265386 -231002 -199083 -169373 -141649 -115720 -91415.55 -68588.53
z Conc lever arm 244.856 241.7096 238.5632 235.4168 232.2704 229.124 225.9776 222.8312 219.6848 216.5384 213.392 210.2456 207.0992 203.9528 200.8064 197.66 194.5136 191.3672 188.2208 185.0744 181.928 178.7816 175.6352 172.4888 169.3424 166.196 163.0496 159.9032 156.7568 153.6104 150.464
N Fc + Fsc - Fst 0 0 0 0 0 0 0 0 0 66.01849 133.6154 231.6391 337.4479 434.9005 525.4797 602.77 669.9926 734.4148 796.4386 856.3924 937.7725 1038.12 1133.57 1224.689 1311.96 1395.796 1476.555 1554.544 1630.033 1703.257 1774.422
M MOR 0 0 0 0 0 0 0 0 118.7419 124.51 130.2781 135.3761 139.889 143.8805 147.3991 149.6957 151.0404 152.1376 152.9871 153.589 151.5278 147.0827 142.7555 138.5039 134.2918 130.0884 125.8669 121.6045 117.2811 112.8791 108.383
Labels for chart
N diff 0 0 0 0 0 0 0 0 66.01849 67.59688 98.0237 105.8089 97.45262 90.5792 77.2903 67.22252 64.42223 62.02378 59.95379 81.38014 100.3479 95.4498 91.11888 87.27085 83.83649 80.75857 77.9894 75.48903 73.22376 71.16501 69.28842
M diff 0 0 0 0 0 0 0 118.7419 5.768106 5.768106 5.097993 4.512909 3.991472 3.518622 2.296532 1.344765 1.097137 0.849509 0.601881 -2.061172 -4.445058 -4.327179 -4.251627 -4.212109 -4.20346 -4.221409 -4.262398 -4.323444 -4.402034 -4.496035 -4.603629
16 Bar diameter
n/d = 0.0400
n Neutral axis 10.24 17.48 24.73 31.97 39.22 46.46 53.70 60.95 68.19 75.44 82.68 89.92 97.17 104.41 111.66 118.90 126.14 133.39 140.63 147.88 155.12 162.36 169.61 176.85 184.10 191.34 198.58 205.83 213.07 220.32 227.56
Fc Conc comp force 57630.72 98399.95 139169.2 179938.4 220707.6 261476.9 302246.1 343015.3 383784.6 424553.8 465323 506092.3 546861.5 587630.7 628400 669169.2 709938.4 750707.7 791476.9 832246.1 873015.4 913784.6 954553.8 995323.1 1036092 1076862 1117631 1158400 1199169 1239938 1280708
2 inter d' 150.00
3 inter d' 0.00
4 inter d' 0.00
5 inter d' 0.00
6 inter d' 0.00
7 inter d' 0.00
8 inter d' 0.00
9 inter d' 0.00
c strain Steel comp strain -0.011539 -0.005308 -0.002728 -0.001317 -0.000427 0.000185 0.000632 0.000973 0.001242 0.001459 0.001637 0.001787 0.001915 0.002025 0.002121 0.002205 0.002279 0.002345 0.002405 0.002459 0.002507 0.002552 0.002592 0.002629 0.002663 0.002695 0.002725 0.002752 0.002777 0.002801 0.002823
2 inter strain -0.04777 -0.026527 -0.017731 -0.012921 -0.009887 -0.0078 -0.006276 -0.005114 -0.004199 -0.00346 -0.00285 -0.002338 -0.001903 -0.001528 -0.001202 -0.000915 -0.000662 -0.000436 -0.000233 -5E-05 0.000116 0.000267 0.000405 0.000531 0.000648 0.000756 0.000856 0.000949 0.001036 0.001117 0.001193
3 inter strain 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
4 inter strain 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
5 inter strain 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
6 inter strain 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
7 inter strain 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
8 inter strain 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
9 inter strain 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
fsc Steel comp stress -2323.45 -1077.24 -561.18 -278.98 -101.03 21.43 110.85 179.02 232.70 276.07 311.85 341.86 367.39 389.38 408.52 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15
2 inter stress -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -380.6 -305.6 -240.4 -183.1 -132.4 -87.2 -46.6 -10.1 23.1 53.3 80.9 106.3 129.6 151.2 171.3 189.9 207.2 223.4 238.6
3 inter stress 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
4 inter stress 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
5 inter stress 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
6 inter stress 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
7 inter stress 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
8 inter stress 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
9 inter stress 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
Fsc Steel comp force -1401470 -649778 -338499 -168275 -60938.08 12926.76 66864.71 107981 140361.8 166523.6 188101.1 206202.2 221604.4 234869.3 246413.1 252824.9 252824.9 252824.9 252824.9 252824.9 252824.9 252824.9 252824.9 252824.9 252824.9 252824.9 252824.9 252824.9 252824.9 252824.9 252824.9
2 inter Fs -174836 -174836 -174836 -174836 -174836 -174836 -174836 -174836 -174836 -174836 -174836 -174836 -153049 -122902 -96665.89 -73626.88 -53234 -35056.06 -18750.83 -4043.102 9290.948 21435.18 32542.05 42739.02 52133.51 60816.66 68866.32 76349.38 83323.61 89839.23 95940.01
3 inter Fs 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
4 inter Fs 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
5 inter Fs 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
6 inter Fs 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
7 inter Fs 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
8 inter Fs 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
9 inter Fs 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
Fst Steel tens force -262255 -262255 -262255 -262255 -262255 -262255 -262255 -262255 -262255 -262255 -262255 -262255 -262255 -262255 -262255 -262255 -262255 -262255 -262255 -262255 -262255 -243502 -215068 -188964 -164914 -142685 -122078 -102921 -85067.45 -68387.49 -52769.48
z Conc lever arm 251.392 248.1322 244.8724 241.6126 238.3528 235.093 231.8332 228.5734 225.3136 222.0538 218.794 215.5342 212.2744 209.0146 205.7548 202.495 199.2352 195.9754 192.7156 189.4558 186.196 182.9362 179.6764 176.4166 173.1568 169.897 166.6372 163.3774 160.1176 156.8578 153.598
N Fc + Fsc - Fst 0 0 0 0 0 0 0 13.90521 87.05523 153.9863 216.333 275.2033 353.1618 437.3436 515.8925 586.1125 647.2747 706.2218 763.2963 818.7732 872.8765 944.5428 1024.852 1101.923 1176.137 1247.818 1317.244 1384.653 1450.25 1514.215 1576.703
M MOR 0 0 0 0 0 0 74.11102 81.28954 88.46807 94.72159 100.2234 105.0908 109.4064 113.2297 116.6047 119.1699 120.7897 122.1437 123.2318 124.0542 124.6108 122.9137 119.9248 116.9169 113.861 110.7323 107.5097 104.1751 100.7127 97.10905 93.35213
N diff 0 0 0 0 0 0 13.90521 73.15002 66.93107 62.34673 58.8703 77.95843 84.18189 78.54885 70.22001 61.16214 58.94715 57.07445 55.47696 54.10328 71.66631 80.30967 77.07046 74.21362 71.68126 69.42602 67.4089 65.59752 63.96481 62.48802 61.14792
M diff 0 0 0 0 0 74.11102 7.178526 7.178526 6.253518 5.501779 4.867478 4.315594 3.823255 3.375008 2.565217 1.61977 1.353971 1.088172 0.822372 0.556573 -1.697028 -2.988984 -3.007874 -3.055912 -3.128682 -3.222577 -3.334622 -3.462348 -3.603695 -3.756926 -3.920576
12 Bar diameter
n/d = 0.0300
n Neutral axis 7.74 15.05 22.35 29.66 36.97 44.27 51.58 58.89 66.19 73.50 80.81 88.11 95.42 102.72 110.03 117.34 124.64 131.95 139.26 146.56 153.87 161.18 168.48 175.79 183.10 190.40 197.71 205.02 212.32 219.63 226.94
Fc Conc comp force 43560.72 84681.7 125802.7 166923.7 208044.6 249165.6 290286.6 331407.6 372528.6 413649.6 454770.5 495891.5 537012.5 578133.5 619254.5 660375.5 701496.4 742617.4 783738.4 824859.4 865980.4 907101.3 948222.3 989343.3 1030464 1071585 1112706 1153827 1194948 1236069 1277190
2 inter d' 150.00
3 inter d' 0.00
4 inter d' 0.00
5 inter d' 0.00
6 inter d' 0.00
7 inter d' 0.00
8 inter d' 0.00
9 inter d' 0.00
c strain Steel comp strain -0.015492 -0.00627 -0.003076 -0.001456 -0.000477 0.00018 0.00065 0.001004 0.001279 0.0015 0.001681 0.001832 0.001959 0.002069 0.002164 0.002247 0.002321 0.002386 0.002444 0.002497 0.002545 0.002588 0.002628 0.002664 0.002697 0.002728 0.002756 0.002783 0.002808 0.002831 0.002852
2 inter strain -0.064329 -0.031392 -0.019987 -0.014201 -0.010702 -0.008358 -0.006679 -0.005416 -0.004431 -0.003643 -0.002997 -0.002458 -0.002002 -0.001611 -0.001271 -0.000974 -0.000712 -0.000479 -0.00027 -8.21E-05 8.8E-05 0.000243 0.000384 0.000513 0.000633 0.000743 0.000845 0.000939 0.001027 0.00111 0.001187
3 inter strain 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
4 inter strain 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
5 inter strain 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
6 inter strain 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
7 inter strain 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
8 inter strain 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
9 inter strain 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
fsc Steel comp stress -3114.08 -1269.58 -630.89 -306.88 -110.96 20.30 114.37 185.09 240.20 284.36 320.53 350.70 376.25 398.16 417.17 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15
2 inter stress -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -434.8 -400.4 -322.2 -254.3 -194.9 -142.4 -95.8 -54.0 -16.4 17.6 48.5 76.8 102.7 126.5 148.5 168.9 187.8 205.5 221.9 237.3
3 inter stress 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
4 inter stress 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
5 inter stress 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
6 inter stress 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
7 inter stress 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
8 inter stress 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
9 inter stress 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
Fsc Steel comp force -1056583 -430757 -214057 -104123 -37647.42 6886.796 38803.89 62800.46 81499.38 96480.57 108752.5 118989.2 127658.2 135093.9 141542.2 142214 142214 142214 142214 142214 142214 142214 142214 142214 142214 142214 142214 142214 142214 142214 142214
2 inter Fs -98345.51 -98345.51 -98345.51 -98345.51 -98345.51 -98345.51 -98345.51 -98345.51 -98345.51 -98345.51 -98345.51 -98345.51 -90573.17 -72868.95 -57516 -44075.07 -32209.93 -21658.81 -12214.87 -3712.538 3982.332 10979.55 17369.88 23228.99 28620.49 33598.2 38208 42489.22 46475.79 50197.11 53678.81
3 inter Fs 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
4 inter Fs 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
5 inter Fs 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
6 inter Fs 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
7 inter Fs 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
8 inter Fs 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
9 inter Fs 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
Fst Steel tens force -147518 -147518 -147518 -147518 -147518 -147518 -147518 -147518 -147518 -147518 -147518 -147518 -147518 -147518 -147518 -147518 -147518 -147518 -147518 -147518 -147518 -142676 -126189 -111072 -97162.31 -84319.82 -72426.54 -61381 -51095.63 -41494.62 -32511.84
z Conc lever arm 254.517 251.2291 247.9412 244.6532 241.3653 238.0774 234.7895 231.5015 228.2136 224.9257 221.6378 218.3498 215.0619 211.774 208.4861 205.1981 201.9102 198.6223 195.3344 192.0464 188.7585 185.4706 182.1827 178.8947 175.6068 172.3189 169.031 165.743 162.4551 159.1672 155.8793
N Fc + Fsc - Fst 0 0 0 0 0 10.18865 83.22673 148.3443 208.1642 264.2664 317.6593 369.017 426.5793 492.8402 555.7624 610.9961 663.9822 715.6543 766.2193 815.8426 864.6584 917.619 981.6173 1043.714 1104.136 1163.078 1220.702 1277.149 1332.542 1386.986 1440.571
M MOR 0 0 0 0 41.24504 49.08656 56.92807 63.64377 69.51691 74.71813 79.35635 83.50435 87.21263 90.51733 93.44496 95.47834 97.16875 98.58876 99.73837 100.6176 101.2264 101.0418 99.32916 97.49415 95.51903 93.38881 91.0907 88.61373 85.94846 83.0867 80.0213
Labels for chart
N diff 0 0 0 0 10.18865 73.03808 65.11755 59.8199 56.10217 53.39293 51.35767 57.56229 66.26097 62.92218 55.23372 52.98612 51.6721 50.56492 49.62332 48.81585 52.96053 63.99836 62.09661 60.42254 58.94118 57.62406 56.44776 55.3929 54.44332 53.58545 52.80787
M diff 0 0 0 41.24504 7.841515 7.841515 6.715692 5.873141 5.201221 4.638218 4.148004 3.708285 3.304694 2.927636 2.033376 1.690415 1.420009 1.149604 0.879198 0.608793 -0.184584 -1.712619 -1.835007 -1.975115 -2.130223 -2.298114 -2.476965 -2.665268 -2.861765 -3.065401 -3.275285
N Bal 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
CHART MARKERS
0 0 0 0 0 0
0 77.06358 0 173.7959 0 45.13452
0 3000 0 1200 0 2500

labels 1 2 3 4 5 6
CALCULATIONS - Y axis III Made by RMW Job No R68
Interval = -15.000 20 intervals

Solve for Nuz Nuz
232.50 240.00 247.50 255.00 262.50 270.00 277.50 285.00 292.50 300.00 285.00 270.00 255.00 240.00 225.00 210.00 195.00 180.00 165.00 150.00 135.00 120.00 105.00 90.00 75.00 60.00 45.00 30.00 15.00 0.00
1308510 1350720 1392930 1435140 1477350 1519560 1561770 1603980 1646190 1688400 1603980 1519560 1435140 1350720 1266300 1181880 1097460 1013040 928620 844200 759780 675360 590940 506520 422100 337680 253260 168840 84420 0
0.002597 0.002625 0.002652 0.002676 0.0027 0.002722 0.002743 0.002763 0.002782 0.0028 0.002763 0.002722 0.002676 0.002625 0.002567 0.0025 0.002423 0.002333 0.002227 0.0021 0.001944 0.00175 0.0015 0.001167 0.0007 0 -0.001167 -0.0035 -0.0105 #DIV/0!
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0.003952 0.003938 0.003924 0.003912 0.0039 0.003889 0.003878 0.003868 0.003859 0.00385 0.003868 0.003889 0.003912 0.003938 0.003967 0.004 0.004038 0.004083 0.004136 0.0042 0.004278 0.004375 0.0045 0.004667 0.0049 0.00525 0.005833 0.007 0.0105 #DIV/0!
0.004403 0.004375 0.004348 0.004324 0.0043 0.004278 0.004257 0.004237 0.004218 0.0042 0.004237 0.004278 0.004324 0.004375 0.004433 0.0045 0.004577 0.004667 0.004773 0.0049 0.005056 0.00525 0.0055 0.005833 0.0063 0.007 0.008167 0.0105 0.0175 #DIV/0!
0.004855 0.004813 0.004773 0.004735 0.0047 0.004667 0.004635 0.004605 0.004577 0.00455 0.004605 0.004667 0.004735 0.004813 0.0049 0.005 0.005115 0.00525 0.005409 0.0056 0.005833 0.006125 0.0065 0.007 0.0077 0.00875 0.0105 0.014 0.0245 #DIV/0!
0.005306 0.00525 0.005197 0.005147 0.0051 0.005056 0.005014 0.004974 0.004936 0.0049 0.004974 0.005056 0.005147 0.00525 0.005367 0.0055 0.005654 0.005833 0.006045 0.0063 0.006611 0.007 0.0075 0.008167 0.0091 0.0105 0.012833 0.0175 0.0315 #DIV/0!
0.005758 0.005688 0.005621 0.005559 0.0055 0.005444 0.005392 0.005342 0.005295 0.00525 0.005342 0.005444 0.005559 0.005688 0.005833 0.006 0.006192 0.006417 0.006682 0.007 0.007389 0.007875 0.0085 0.009333 0.0105 0.01225 0.015167 0.021 0.0385 #DIV/0!
0.00621 0.006125 0.006045 0.005971 0.0059 0.005833 0.00577 0.005711 0.005654 0.0056 0.005711 0.005833 0.005971 0.006125 0.0063 0.0065 0.006731 0.007 0.007318 0.0077 0.008167 0.00875 0.0095 0.0105 0.0119 0.014 0.0175 0.0245 0.0455 #DIV/0!
0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 0.0035 #DIV/0!
419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 404.37 373.26 334.37 284.37 217.70 124.37 -15.63 -248.97 -715.63 -2115.63 #DIV/0!
0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 #DIV/0!
419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 #DIV/0!
419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 #DIV/0!
419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 #DIV/0!
419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 #DIV/0!
419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 #DIV/0!
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 #DIV/0!
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 #DIV/0!
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 #DIV/0!
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 #DIV/0!
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 #DIV/0!
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 #DIV/0!
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 #DIV/0!
-104.625 -108 -111.375 -114.75 -118.125 -121.5 -124.875 -128.25 -131.625 -135 -128.25 -121.5 -114.75 -108 -101.25 -94.5 -87.75 -81 -74.25 -67.5 -60.75 -54 -47.25 -40.5 -33.75 -27 -20.25 -13.5 -6.75 0
#DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! 0
#DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0!

Solve for Nuz Nuz
239.70 246.40 253.10 259.80 266.50 273.20 279.90 286.60 293.30 300.00 317.46 334.93 352.39 369.86 387.32 404.78 422.25 439.71 457.18 474.64 492.10 509.57 527.03 544.50 561.96 579.42 596.89 614.35 631.81 649.28
1349006 1386717 1424427 1462138 1499848 1537558 1575269 1612979 1650690 1688400 1786687 1876000 1876000 1876000 1876000 1876000 1876000 1876000 1876000 1876000 1876000 1876000 1876000 1876000 1876000 1876000 1876000 1876000 1876000 1876000
0.002711 0.002733 0.002753 0.002773 0.002791 0.002808 0.002825 0.002841 0.002856 0.00287 0.002905 0.002936 0.002964 0.002989 0.003012 0.003033 0.003052 0.00307 0.003087 0.003102 0.003116 0.003129 0.003141 0.003153 0.003164 0.003174 0.003183 0.003192 0.003201 0.003209
0.00131 0.001369 0.001426 0.001479 0.00153 0.001578 0.001624 0.001668 0.00171 0.00175 0.001846 0.001932 0.00201 0.002081 0.002145 0.002203 0.002257 0.002306 0.002352 0.002394 0.002433 0.00247 0.002504 0.002536 0.002566 0.002594 0.00262 0.002645 0.002669 0.002691
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
-9.21E-05 5.63E-06 9.81E-05 0.000186 0.000269 0.000348 0.000424 0.000496 0.000564 0.00063 0.000788 0.000929 0.001057 0.001172 0.001277 0.001373 0.001461 0.001542 0.001617 0.001686 0.00175 0.00181 0.001866 0.001919 0.001968 0.002014 0.002058 0.002099 0.002137 0.002174
419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15
261.9 273.9 285.1 295.8 306.0 315.7 324.9 333.6 342.0 350.0 369.3 386.5 402.0 416.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1
0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
-18.4 -14.5 4.0 21.5 38.2 54.1 69.1 83.5 97.3 110.4 141.9 170.2 195.7 218.8 239.8 259.0 276.5 292.7 307.7 321.6 334.4 346.4 357.6 368.1 377.9 387.2 395.9 404.1 411.8 419.1
1011300 1011300 1011300 1011300 1011300 1011300 1011300 1011300 1011300 1011300 1011300 1011300 1011300 1011300 1011300 1011300 1011300 1011300 1011300 1011300 1011300 1011300 1011300 1011300 1011300 1011300 1011300 1011300 1011300 1011300
421336.1 440497.3 458643.9 475854.5 492199.7 507743.1 522542.3 536649.5 550112.1 562973.4 593943 621682.9 646673.4 669303.8 674199.7 674199.7 674199.7 674199.7 674199.7 674199.7 674199.7 674199.7 674199.7 674199.7 674199.7 674199.7 674199.7 674199.7 674199.7 674199.7
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
-44422.18 -35004.84 9635.93 51974.01 92183.1 130419.8 166825.9 201529.6 234647.7 266286.4 342471.6 410711.9 472188.4 527859.3 578509.9 624789.9 667241.7 706321.5 742415.5 775853.5 806918.1 835853.5 862871.2 888155.8 911868.8 934152.5 955132.1 974919 993612.1 1011300
138.137 135.1218 132.1066 129.0914 126.0761 123.0609 120.0457 117.0305 114.0152 111 103.1412 96 96 96 96 96 96 96 96 96 96 96 96 96 96 96 96 96 96 96
2737.22 2803.509 2904.007 3001.266 3095.53 3187.021 3275.936 3362.458 3446.749 3528.959 3734.401 3919.694 4006.161 4084.463 4140.009 4186.289 4228.741 4267.821 4303.915 4337.353 4368.417 4397.353 4424.37 4449.655 4473.368 4495.652 4516.631 4536.418 4555.111 4572.799
158.1924 154.6961 147.5909 140.4794 133.3448 126.1722 118.9479 111.6596 104.2961 96.84726 76.96662 57.65642 51.75467 46.41026 41.54781 37.10492 33.02955 29.2779 25.81287 22.60282 19.62062 16.84282 14.24912 11.8218 9.545348 7.406119 5.392071 3.492529 1.697996 0
8H32
66.28896 100.4978 97.2591 94.26465 91.49054 88.91565 86.52136 84.29116 82.2104 205.4418 185.2932 86.46697 78.30133 55.54644 46.28005 42.45182 39.07972 36.09405 33.43796 31.06464 28.93534 27.01771 25.2846 23.71307 22.28363 20.97967 19.7869 18.69305 17.68746 205.4418 max
-3.496323 -7.105183 -7.111536 -7.134563 -7.172628 -7.224291 -7.288281 -7.363471 -7.448861 -19.88064 -19.31021 -5.901746 -5.344406 -4.862456 -4.442885 -4.075374 -3.751653 -3.465029 -3.210044 -2.982206 -2.777793 -2.5937 -2.427322 -2.276454 -2.139229 -2.014048 -1.899543 -1.794533 -1.697996

Solve for Nuz Nuz
239.24 245.99 252.74 259.49 266.24 272.99 279.75 286.50 293.25 300.00 317.93 335.85 353.78 371.70 389.63 407.55 425.48 443.41 461.33 479.26 497.18 515.11 533.04 550.96 568.89 586.81 604.74 622.66 640.59 658.52
1346423 1384420 1422418 1460415 1498413 1536410 1574408 1612405 1650403 1688400 1789287 1876000 1876000 1876000 1876000 1876000 1876000 1876000 1876000 1876000 1876000 1876000 1876000 1876000 1876000 1876000 1876000 1876000 1876000 1876000
0.002761 0.002781 0.002801 0.002819 0.002836 0.002853 0.002868 0.002883 0.002897 0.002911 0.002944 0.002974 0.003 0.003024 0.003046 0.003066 0.003085 0.003101 0.003117 0.003131 0.003144 0.003157 0.003168 0.003179 0.003189 0.003199 0.003208 0.003216 0.003224 0.003232
0.001306 0.001366 0.001423 0.001477 0.001528 0.001577 0.001623 0.001668 0.00171 0.00175 0.001849 0.001937 0.002016 0.002088 0.002153 0.002212 0.002266 0.002316 0.002362 0.002405 0.002444 0.002481 0.002515 0.002547 0.002577 0.002605 0.002632 0.002657 0.00268 0.002703
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
-0.00015 -5E-05 4.49E-05 0.000135 0.00022 0.000301 0.000378 0.000452 0.000522 0.000589 0.000753 0.0009 0.001032 0.001151 0.001259 0.001357 0.001448 0.001531 0.001607 0.001678 0.001744 0.001805 0.001862 0.001915 0.001965 0.002012 0.002056 0.002098 0.002137 0.002174
419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15
261.1 273.1 284.6 295.4 305.6 315.4 324.7 333.5 341.9 350.0 369.7 387.4 403.2 417.5 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1
0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
-30.0 -10.0 -6.7 11.3 28.4 44.6 60.0 74.8 88.8 102.2 135.0 164.3 190.7 214.5 236.1 255.8 273.9 290.5 305.8 319.9 333.1 345.3 356.7 367.4 377.4 386.7 395.6 403.9 411.7 419.1
617248.3 617248.3 617248.3 617248.3 617248.3 617248.3 617248.3 617248.3 617248.3 617248.3 617248.3 617248.3 617248.3 617248.3 617248.3 617248.3 617248.3 617248.3 617248.3 617248.3 617248.3 617248.3 617248.3 617248.3 617248.3 617248.3 617248.3 617248.3 617248.3 617248.3
256338 268164.3 279358.7 289970.7 300044.4 309619.8 318733.1 327416.8 335700.7 343611.7 362985.8 380291.7 395843.9 409896 411498.8 411498.8 411498.8 411498.8 411498.8 411498.8 411498.8 411498.8 411498.8 411498.8 411498.8 411498.8 411498.8 411498.8 411498.8 411498.8
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
-44223.92 -14717.36 -9809.208 16667.54 41801.46 65692.2 88429.76 110095.7 130763.9 150501.9 198840.3 242018.6 280821.2 315881.2 347715.2 376748.8 403336 427773.5 450311.9 471164.3 490513 508515 525306.3 541004.9 555714.1 569524.8 582516.6 594760.4 606319 617248.3
141.8436 138.8054 135.7672 132.7291 129.6909 126.6527 123.6145 120.5764 117.5382 114.5 106.4334 99.5 99.5 99.5 99.5 99.5 99.5 99.5 99.5 99.5 99.5 99.5 99.5 99.5 99.5 99.5 99.5 99.5 99.5 99.5
2175.785 2255.116 2309.216 2384.302 2457.507 2528.971 2598.819 2667.166 2734.115 2799.762 2968.361 3115.559 3169.913 3219.025 3252.462 3281.496 3308.083 3332.521 3355.059 3375.911 3395.26 3413.262 3430.053 3445.752 3460.461 3474.272 3487.264 3499.508 3511.066 3521.995
122.8288 117.2958 113.9794 108.286 102.4953 96.59751 90.58353 84.4453 78.17544 71.76726 54.0374 37.33536 33.47449 29.98602 26.81854 23.92969 21.28427 18.85274 16.61017 14.53536 12.61016 10.81896 9.148229 7.586217 6.122644 4.748489 3.4558 2.237541 1.087464 0
79.33029 54.10003 75.08611 73.20509 71.46362 69.84825 68.34708 66.94959 65.64645 168.5989 147.1977 54.35478 49.11214 33.43684 29.03362 26.58721 24.4375 22.53838 20.85236 19.34871 18.00204 16.79124 15.69861 14.70928 13.81061 12.99185 12.24381 11.55857 10.92928 168.5989 max
-5.533067 -3.316411 -5.693372 -5.790647 -5.897835 -6.01398 -6.138236 -6.269857 -6.40818 -17.72986 -16.70205 -3.860861 -3.488472 -3.167481 -2.888846 -2.645427 -2.431531 -2.242569 -2.07481 -1.925197 -1.791203 -1.670728 -1.562012 -1.463573 -1.374155 -1.292689 -1.218259 -1.150077 -1.087464
Originated from RCC53.xls v4.0 on CD © 2006 TCC
CALCULATIONS - Y axis IV Made by RMW
Date
Job No R68
2-Feb-22

Solve for Nuz Nuz
237.07 244.06 251.06 258.05 265.04 272.03 279.02 286.02 293.01 300.00 318.52 337.04 355.56 374.08 392.60 411.12 429.64 448.16 466.68 485.20 503.72 522.24 540.76 559.28 577.80 596.31 614.83 633.35 651.87 670.39
1334241 1373592 1412943 1452294 1491645 1530996 1570347 1609698 1649049 1688400 1792629 1876000 1876000 1876000 1876000 1876000 1876000 1876000 1876000 1876000 1876000 1876000 1876000 1876000 1876000 1876000 1876000 1876000 1876000 1876000
0.002821 0.00284 0.002859 0.002876 0.002893 0.002908 0.002923 0.002937 0.002951 0.002963 0.002995 0.003022 0.003047 0.00307 0.00309 0.003108 0.003125 0.003141 0.003155 0.003168 0.00318 0.003192 0.003202 0.003212 0.003221 0.00323 0.003238 0.003246 0.003253 0.00326
0.001285 0.001349 0.001409 0.001465 0.001519 0.00157 0.001618 0.001664 0.001708 0.00175 0.001852 0.001942 0.002023 0.002097 0.002163 0.002223 0.002278 0.002329 0.002375 0.002418 0.002458 0.002495 0.002529 0.002561 0.002591 0.00262 0.002646 0.002671 0.002695 0.002717
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
-0.00025 -0.000142 -4.1E-05 5.49E-05 0.000146 0.000232 0.000314 0.000392 0.000466 0.000537 0.000709 0.000862 0.001 0.001123 0.001236 0.001338 0.001431 0.001516 0.001595 0.001668 0.001735 0.001798 0.001856 0.00191 0.001961 0.002009 0.002054 0.002096 0.002136 0.002174
419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15
257.1 269.8 281.8 293.1 303.8 314.0 323.7 332.9 341.6 350.0 370.4 388.5 404.7 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1
0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
-50.0 -28.5 -8.2 -4.7 13.5 30.8 47.1 62.7 77.6 91.7 126.2 156.8 184.3 209.1 231.5 251.9 270.5 287.6 303.4 317.9 331.4 343.9 355.6 366.5 376.6 386.2 395.2 403.6 411.6 419.1
395038.9 395038.9 395038.9 395038.9 395038.9 395038.9 395038.9 395038.9 395038.9 395038.9 395038.9 395038.9 395038.9 395038.9 395038.9 395038.9 395038.9 395038.9 395038.9 395038.9 395038.9 395038.9 395038.9 395038.9 395038.9 395038.9 395038.9 395038.9 395038.9 395038.9
161538.5 169510.9 177039.2 184159.5 190904.1 197302.1 203379.3 209159.5 214663.8 219911.5 232697.8 244078.9 254274.5 263359.3 263359.3 263359.3 263359.3 263359.3 263359.3 263359.3 263359.3 263359.3 263359.3 263359.3 263359.3 263359.3 263359.3 263359.3 263359.3 263359.3
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
-47108 -26858.21 -7736.355 -4384.812 12746.57 28997.3 44433.58 59115.15 73096.03 86425.21 118902.4 147810.5 173707.2 197039.7 218170.9 237398.3 254968.2 271085.9 285924.3 299630.1 312328 324125.3 335114.5 345376 354979.7 363986.8 372451.3 380420.8 387937.5 395038.9
147.3176 144.1712 141.0248 137.8784 134.732 131.5856 128.4392 125.2928 122.1464 119 110.6661 104 104 104 104 104 104 104 104 104 104 104 104 104 104 104 104 104 104 104
1843.711 1911.284 1977.285 2027.108 2090.335 2152.334 2213.199 2273.012 2331.848 2389.776 2539.268 2662.928 2699.021 2731.438 2752.569 2771.796 2789.366 2805.484 2820.322 2834.028 2846.726 2858.523 2869.513 2879.774 2889.378 2898.385 2906.849 2914.819 2922.336 2929.437
103.7794 99.05614 94.20256 90.74147 85.59964 80.30177 74.84098 69.21105 63.40636 57.42182 40.66812 25.71175 23.0185 20.59192 18.39427 16.39462 14.56736 12.89111 11.34791 9.922518 8.601936 7.375015 6.232132 5.16494 4.16616 3.229418 2.349107 1.520279 0.738544 0
8H20
67.57311 66.00112 49.82284 63.227 61.99963 60.86454 59.81269 58.83614 57.92787 149.4922 123.6605 36.09221 32.41731 21.13123 19.22743 17.56982 16.11771 14.83847 13.70572 12.69791 11.79732 10.98925 10.26146 9.603656 9.007137 8.464522 7.969506 7.51668 7.101383 149.4922 max
-4.723258 -4.853581 -3.461097 -5.141828 -5.297868 -5.460793 -5.629931 -5.804687 -5.984538 -16.7537 -14.95637 -2.693253 -2.426581 -2.197648 -1.999652 -1.827261 -1.676241 -1.543201 -1.425395 -1.320583 -1.226921 -1.142882 -1.067192 -0.99878 -0.936742 -0.88031 -0.828829 -0.781735 -0.738544

Solve for Nuz Nuz
234.80 242.05 249.29 256.54 263.78 271.02 278.27 285.51 292.76 300.00 318.78 337.57 356.35 375.13 393.92 412.70 431.49 450.27 469.05 487.84 506.62 525.40 544.19 562.97 581.75 600.54 619.32 638.10 656.89 675.67
1321477 1362246 1403015 1443785 1484554 1525323 1566092 1606862 1647631 1688400 1794114 1876000 1876000 1876000 1876000 1876000 1876000 1876000 1876000 1876000 1876000 1876000 1876000 1876000 1876000 1876000 1876000 1876000 1876000 1876000
0.002844 0.002864 0.002882 0.0029 0.002916 0.002932 0.002947 0.002961 0.002974 0.002987 0.003017 0.003044 0.003068 0.003089 0.003109 0.003127 0.003143 0.003158 0.003172 0.003184 0.003196 0.003207 0.003217 0.003226 0.003235 0.003244 0.003251 0.003259 0.003266 0.003272
0.001264 0.001331 0.001394 0.001454 0.00151 0.001563 0.001613 0.001661 0.001707 0.00175 0.001853 0.001945 0.002027 0.002101 0.002167 0.002228 0.002283 0.002334 0.002381 0.002424 0.002464 0.002501 0.002535 0.002567 0.002598 0.002626 0.002652 0.002677 0.002701 0.002723
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 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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0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
-0.000316 -0.000202 -9.42E-05 7.31E-06 0.000103 0.000194 0.00028 0.000362 0.000439 0.000513 0.000689 0.000846 0.000986 0.001112 0.001225 0.001329 0.001423 0.00151 0.00159 0.001663 0.001731 0.001795 0.001854 0.001908 0.00196 0.002008 0.002053 0.002096 0.002136 0.002174
419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15
252.8 266.2 278.8 290.7 301.9 312.6 322.7 332.2 341.3 350.0 370.6 389.0 405.3 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1
0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
-63.2 -40.3 -18.8 -14.2 5.0 23.2 40.4 56.7 72.3 87.0 122.2 153.5 181.5 206.7 229.4 250.2 269.1 286.4 302.3 317.0 330.6 343.3 355.1 366.1 376.3 386.0 395.0 403.5 411.6 419.1
252824.9 252824.9 252824.9 252824.9 252824.9 252824.9 252824.9 252824.9 252824.9 252824.9 252824.9 252824.9 252824.9 252824.9 252824.9 252824.9 252824.9 252824.9 252824.9 252824.9 252824.9 252824.9 252824.9 252824.9 252824.9 252824.9 252824.9 252824.9 252824.9 252824.9
101664.4 107046.1 112115 116897.7 121417.7 125696.1 129751.7 133601.5 137260.8 140743.4 149036.3 156406.4 162999.5 168549.9 168549.9 168549.9 168549.9 168549.9 168549.9 168549.9 168549.9 168549.9 168549.9 168549.9 168549.9 168549.9 168549.9 168549.9 168549.9 168549.9
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
-38115.14 -24338 -11361.45 -8547.607 3023.565 13976.18 24358.55 34214.08 43581.88 52497.27 73727.31 92594.7 109473.1 124661.2 138400.8 150889.7 162291.4 172741.7 182355 191228.1 199443.2 207070.9 214172 220799.3 226998.6 232810.1 238269 243406.6 248250.4 252824.9
150.3382 147.0784 143.8186 140.5588 137.299 134.0392 130.7794 127.5196 124.2598 121 112.5474 106 106 106 106 106 106 106 106 106 106 106 106 106 106 106 106 106 106 106
1637.851 1697.779 1756.594 1804.96 1861.82 1917.82 1973.027 2027.502 2081.298 2134.466 2269.703 2377.826 2401.297 2422.036 2435.776 2448.265 2459.666 2470.116 2479.73 2488.603 2496.818 2504.446 2511.547 2518.174 2524.373 2530.185 2535.644 2540.781 2545.625 2550.2
89.43155 85.33815 81.06383 77.60095 72.94399 68.0868 63.02426 57.75176 52.26517 46.56073 30.73108 16.9844 15.19529 13.58536 12.12895 10.80512 9.596555 8.488819 7.469804 6.529261 5.658462 4.849926 4.097207 3.394717 2.737591 2.121571 1.542919 0.998334 0.484893 0
59.92813 58.81468 48.36575 56.86039 56.00022 55.20722 54.47458 53.79632 53.1672 135.2372 108.1233 23.47146 20.73851 13.73964 12.48895 11.4016 10.45034 9.61335 8.873047 8.215086 7.627694 7.101126 6.627266 6.199305 5.811502 5.458984 5.137596 4.843779 4.574466 135.2372 max
-4.093397 -4.274324 -3.462881 -4.656957 -4.857189 -5.062542 -5.272496 -5.486595 -5.70444 -15.82964 -13.74669 -1.789105 -1.609938 -1.456402 -1.323829 -1.20857 -1.107736 -1.019015 -0.940543 -0.870799 -0.808536 -0.752719 -0.70249 -0.657126 -0.616019 -0.578652 -0.544585 -0.513441 -0.484893

Solve for Nuz Nuz
234.24 241.55 248.85 256.16 263.47 270.77 278.08 285.39 292.69 300.00 319.05 338.10 357.14 376.19 395.24 414.29 433.33 452.38 471.43 490.48 509.52 528.57 547.62 566.67 585.71 604.76 623.81 642.86 661.90 680.95
1318311 1359432 1400553 1441674 1482795 1523916 1565037 1606158 1647279 1688400 1795600 1876000 1876000 1876000 1876000 1876000 1876000 1876000 1876000 1876000 1876000 1876000 1876000 1876000 1876000 1876000 1876000 1876000 1876000 1876000
0.002872 0.002891 0.002909 0.002926 0.002942 0.002957 0.002971 0.002985 0.002998 0.00301 0.003039 0.003065 0.003088 0.003109 0.003128 0.003145 0.003161 0.003175 0.003188 0.0032 0.003211 0.003222 0.003232 0.003241 0.003249 0.003257 0.003264 0.003271 0.003278 0.003284
0.001259 0.001327 0.00139 0.001451 0.001507 0.001561 0.001612 0.00166 0.001706 0.00175 0.001854 0.001947 0.00203 0.002104 0.002172 0.002233 0.002288 0.002339 0.002386 0.00243 0.00247 0.002507 0.002541 0.002574 0.002604 0.002632 0.002658 0.002683 0.002707 0.002729
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
-0.000355 -0.000238 -0.000129 -2.51E-05 7.26E-05 0.000165 0.000253 0.000336 0.000415 0.00049 0.00067 0.000829 0.000972 0.0011 0.001215 0.00132 0.001416 0.001504 0.001585 0.001659 0.001728 0.001792 0.001851 0.001906 0.001958 0.002007 0.002052 0.002095 0.002136 0.002174
419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15 419.15
251.7 265.3 278.1 290.1 301.5 312.2 322.4 332.1 341.3 350.0 370.9 389.4 406.0 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1 419.1
0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
-71.0 -47.7 -25.7 -5.0 -1.1 17.4 34.9 51.5 67.3 82.4 118.3 150.2 178.7 204.3 227.4 248.4 267.6 285.1 301.3 316.2 329.9 342.7 354.6 365.7 376.0 385.7 394.9 403.4 411.5 419.1
142214 142214 142214 142214 142214 142214 142214 142214 142214 142214 142214 142214 142214 142214 142214 142214 142214 142214 142214 142214 142214 142214 142214 142214 142214 142214 142214 142214 142214 142214
56943.3 60010.3 62897.21 65619.42 68190.65 70623.12 72927.76 75114.4 77191.86 79168.13 83894.57 88088.46 91834.99 94809.33 94809.33 94809.33 94809.33 94809.33 94809.33 94809.33 94809.33 94809.33 94809.33 94809.33 94809.33 94809.33 94809.33 94809.33 94809.33 94809.33
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
-24089.45 -16176.59 -8728.38 -1705.063 -375.5534 5900.213 11846.19 17487.71 22847.57 27946.35 40140.56 50960.78 60626.85 69314.07 77163.98 84292.06 90793.49 96747.44 102220.3 107268 111938.4 116272.1 120304.4 124065.6 127582.1 130877.2 133971 136881.5 139624.5 142214
152.5913 149.3034 146.0155 142.7276 139.4396 136.1517 132.8638 129.5759 126.2879 123 114.4286 108 108 108 108 108 108 108 108 108 108 108 108 108 108 108 108 108 108 108
1493.379 1545.48 1596.936 1647.802 1692.824 1742.653 1792.025 1840.974 1889.532 1937.728 2061.849 2157.263 2170.676 2182.337 2190.187 2197.315 2203.817 2209.771 2215.244 2220.291 2224.962 2229.295 2233.328 2237.089 2240.605 2243.901 2246.994 2249.905 2252.648 2255.237
76.74601 73.25535 69.54447 65.60907 62.01819 57.62272 52.99245 48.12466 43.01689 37.66691 22.56713 9.855348 8.811413 7.873192 7.025402 6.25557 5.553415 4.910388 4.319323 3.774167 3.269769 2.801724 2.366239 1.96003 1.580241 1.224376 0.890243 0.57591 0.279669 0
8H12
52.10084 51.45609 50.86651 45.02172 49.82922 49.3716 48.94914 48.55831 48.19604 124.1202 95.41454 13.4126 11.66157 7.849907 7.128078 6.501436 5.953948 5.472822 5.04775 4.670349 4.333748 4.03227 3.761194 3.516564 3.295049 3.093825 2.910487 2.742977 2.589524 124.1202 max
-3.490661 -3.710884 -3.935401 -3.590875 -4.395476 -4.630264 -4.867788 -5.107775 -5.349984 -15.09977 -12.71179 -1.043935 -0.938221 -0.84779 -0.769832 -0.702155 -0.643026 -0.591065 -0.545157 -0.504398 -0.468045 -0.435485 -0.406209 -0.379789 -0.355865 -0.334133 -0.314333 -0.296242 -0.279669
0 0 0 0 0 0 0 0 0 1889.532 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1889.532 max
Location Ground floor columns at B1, B2 etc LOADCASES
SYMMETRICALLY REINFORCED RECTANGULAR COLUMN DESIGN, BENT ABOUT TWO AXES TO BS 8110:2005 Made by RMW Job No R68
Nuz= 0.45 fcuAc + 0.95fyAsc

Nbal = 0.25fcubd M2 90 25
LOADCASE ßx =(le/b')^0.5/2000 M1 90 25
Mi 90 25
B1 1 N = 3500 0.00875 ßx = 0.029 ßy = 0.052 N/bhfcu 0.833333 ß = 0.3
Nuz Mres Status N bal Nuz K Madd X Madd Y Mx My h' b' AXIS M' lu M' lu N lu Mdif lu Ndif Mres
0 0.000001 0 Fails 0 0 #DIV/0! 0.000 0.0 0.0 0.0 0.0 0 0 0 0.0 #N/A #N/A #N/A #N/A #N/A
32 4572.79879 147.2148 ok 32 908.25 4572.8 0.000 0.0 0.0 90.0 25.0 346 246 X 100.5 153.6 3453.0 -31.4 230.3 147.2
25 3521.995355 3.288306 Fails 0 917.4375 3522 0.000 0.0 0.0 90.0 25.0 349.5 249.5 X 100.5 3.5 3498.5 -1.8 12.1 3.3
20 2929.437027 0 Fails 0 929.25 2929.44 0.000 0.0 0.0 90.0 25.0 354 254 X 100.5 0.0 2929.4 163.1 0.0
16 2550.199698 0 Fails 0 934.5 2550.2 0.000 0.0 0.0 90.0 25.0 356 256 X 100.4 0.0 2550.2 146.5 0.0
12 2255.23733 0 Fails 0 939.75 2255.24 0.000 0.0 0.0 90.0 25.0 358 258 X 100.4 0.0 2255.2 133.6 0.0
32 0.000 0.0 0.0 90.0 25.0 X 100.5
M2 80 60
M1 80 60
Mi 80 60
B2 2 N = 3000 ßx = 0.029 ßy = 0.052 N/bhfcu 0.714286 ß = 0.3
Nuz Mres Status N bal K Madd X Madd Y Mx My h' b' AXIS M' lu M' lu N lu Mdif lu Ndif Mres
0 0.000001 0 Fails 0 0 0.000 0.0 0.0 0.0 0.0 0 0 0 0.0 #N/A #N/A #N/A #N/A #N/A
32 4572.79879 140.5719 ok 32 861 0.000 0.0 0.0 80.0 60.0 346 246 Y 77.1 147.6 2904.0 -7.1 97.3 140.6
25 3521.995355 50.44741 Fails 0 873.25 0.000 0.0 0.0 80.0 60.0 349.5 249.5 Y 77.1 54.0 2968.4 -16.7 147.2 50.4
20 2929.437027 0 Fails 0 889 0.000 0.0 0.0 80.0 60.0 354 254 Y 77.2 0.0 2929.4 149.5 0.0
16 2550.199698 0 Fails 0 896 0.000 0.0 0.0 80.0 60.0 356 256 Y 77.3 0.0 2550.2 135.2 0.0
12 2255.23733 0 Fails 0 903 0.000 0.0 0.0 80.0 60.0 358 258 Y 77.3 0.0 2255.2 124.1 0.0
32 0.000 0.0 0.0 80.0 60.0 Y 77.1
M2 100 35
M1 100 35
Mi 100 35
Loadcase 3 3 N = 1000 ßx = 0.029 ßy = 0.052 N/bhfcu 0.238095 ß = 0.722222
32 4572.79879 388.9387 ok 0 908.25 0.000 0.0 0.0 100.0 35.0 346 246 X 135.6 394.1 938.0 -15.8 188.6 388.9
25 3521.995355 276.5914 ok 0 917.4375 0.000 0.0 0.0 100.0 35.0 349.5 249.5 X 135.4 281.6 910.9 -5.9 104.7 276.6
20 2929.437027 213.9187 ok 0 929.25 0.000 0.0 0.0 100.0 35.0 354 254 X 135.2 214.0 999.0 -6.6 96.7 213.9
16 2550.199698 170.8885 ok 0 934.5 0.000 0.0 0.0 100.0 35.0 356 256 X 135.2 170.9 999.6 -4.6 78.0 170.9
12 2255.23733 137.077 ok 12 939.75 0.000 0.0 0.0 100.0 35.0 358 258 X 135.1 138.5 968.1 -2.8 62.6 137.1
12 0.000 0.0 0.0 100.0 35.0 X 135.1
M2 50 150
M1 50 150
Mi 50 150
32 4572.79879 247.7255 ok 0 861 0.000 0.0 0.0 50.0 150.0 346 246 Y 173.7 255.6 1054.1 -10.0 185.8 247.7
25 3521.995355 178.3432 ok 25 873.25 0.000 0.0 0.0 50.0 150.0 349.5 249.5 Y 173.8 184.3 1079.9 -6.2 123.9 178.3
20 2929.437027 139.6559 Fails 0 889 0.000 0.0 0.0 50.0 150.0 354 254 Y 173.9 142.8 1133.6 -4.3 91.1 139.7
16 2550.199698 112.8194 Fails 0 896 0.000 0.0 0.0 50.0 150.0 356 256 Y 174.0 113.9 1176.1 -3.1 71.7 112.8
12 2255.23733 91.91631 Fails 0 903 0.000 0.0 0.0 50.0 150.0 358 258 Y 174.0 93.4 1163.1 -2.3 57.6 91.9
25 0.000 0.0 0.0 50.0 150.0 Y 173.8
M2 220 90
M1 220 90
Mi 220 90
32 4572.79879 389.7162 ok 32 908.25 0.000 0.0 0.0 220.0 90.0 346 246 X 329.0 389.3 472.0 1.6 103.8 389.7
25 3521.995355 274.8984 Fails 0 917.4375 0.000 0.0 0.0 220.0 90.0 349.5 249.5 X 328.6 274.0 464.2 2.0 84.2 274.9
20 2929.437027 208.7482 Fails 0 929.25 0.000 0.0 0.0 220.0 90.0 354 254 X 328.0 207.6 464.6 2.4 73.8 208.7
16 2550.199698 162.9776 Fails 0 934.5 0.000 0.0 0.0 220.0 90.0 356 256 X 327.8 161.2 458.1 2.8 66.8 163.0
12 2255.23733 125.7705 Fails 0 939.75 0.000 0.0 0.0 220.0 90.0 358 258 X 327.5 122.5 442.9 3.3 58.7 125.8
32 0.000 0.0 0.0 220.0 90.0 X 329.0
M2 35 25
M1 35 25
Mi 35 25
32 4572.79879 173.6389 ok 0 861 0.000 0.0 0.0 35.0 37.5 346 246 Y 45.1 179.8 2400.9 -7.3 116.5 173.6
25 3521.995355 98.98843 ok 25 873.25 0.000 0.0 0.0 35.0 37.5 349.5 249.5 Y 45.1 102.5 2457.5 -5.9 71.5 99.0
20 2929.437027 45.06889 Fails 0 889 0.000 0.0 0.0 35.0 37.5 354 254 Y 45.2 57.4 2389.8 -16.8 149.5 45.1
16 2550.199698 5.321168 Fails 0 896 0.000 0.0 0.0 35.0 37.5 356 256 Y 45.2 5.7 2496.8 -0.8 7.6 5.3
12 2255.23733 0 Fails 0 903 0.000 0.0 0.0 35.0 37.5 358 258 Y 45.2 0.0 2255.2 124.1 0.0
25 0.000 0.0 0.0 35.0 37.5 Y 45.1
Disclaimer
All advice or information from MPA-The Concrete Centre is intended for those who will evaluate the significance and limitations of its
contents and take responsibility for its use and application. No liability (including that for negligence) for any loss resulting from such advice
or information is accepted by MPA-The Concrete Centre or its subcontractors, suppliers or advisors. Users should note that all MPA-The
Concrete Centre software and publications are subject to revision from time to time and they should therefore ensure that they are in
possession of the latest version.
This spreadsheet should be used in compliance with the accompanying publication 'User Guide RC Spreadsheets: v4' available from The
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Status of spreadsheet This spreadsheet is shareware but may not be used for commercial purposes until the user has
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Revision history RCC53 Column Design
Date Version Action Size (kB)

1-Apr-10 RCC53 v4.0 Re-badged as TCC/Mineral Products Association. 1699
3-Jun-08 RCC53 v3.2 Correction to notes at MAIN!C15 and C16. 1667
28-Jun-06 RCC53 v3.1 v3 release. Page nos, User Guide and registration details amended. 1620
11-Nov-05 RCC53 v3.0 Updated to 2005 versions of BS8110 & BS8666 1692
5-Jul-05 RCC53 v2.8 Improved method of dealing with inappropriate end conditions. 1668
16-Jun-05 RCC53 v2.7 Minor correction to MAIN!I26:J31. Formatting enhanced to MAIN!C45:L49. 1657
5-Mar-05 RCC53 v2.6 Circular reference removed from CASES!I37:I42. 1656
12-Jun-04 RCC53 v2.5 Circular reference removed from CASES!L22:M22. 1653
11-May-04 RCC53 v2.4 Calculation of Mi improved. 1653
12-Feb-04 RCC53 v2.3 3.8.1.6.2 end conditions clarified on MAIN sheet. 1657
4-Feb-04 RCC53 v2.2 Warning re use for walls added at MAIN!L14. 1655
22-Jan-03 RCC53 v2.1 DETR logo replaced by DTI. 1655
11-Oct-02 RCC53 v2.0 Version 2 enhancements 1674
6-Aug-01 RCC53 v1.3 Correction to Bresaler's check on MAIN:R35:R36 1654
30-Jul-01 RCC53 v1.2 Correction to axis selection, when nominal moments control. 1653
2-Feb-00 RCC53 v1.1 Bresaler's Check corrected (RM Cram comment) 1578
First public release.
3-Aug-99 RCC53 v1.0 1575
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Spreadsheets To BS 8110: The Concrete Centre

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Project Spreadsheets to BS 8110 The Concrete Centre

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RESTRAINTS Top Btm

LOADCASES AXIAL TOP MOMENTS (kNm) BTM MOMENTS (kNm)

BAR ARRANGEMENTS BAR CENTRES (mm)

DESIGN MOMENTS (kNm) X AXIS Y AXIS COMBINED

SEE CHARTS ON NEXT SHEET

N:M interaction chart: Mx' critical

1000 1000 8H12

N:M interaction chart: My' critical

40 Bar diameter continued

32 Bar diameter continued Interval = 25.661 20 intervals

25 Bar diameter continued Interval = 26.123 20 intervals

20 Bar diameter continued Interval = 26.716 20 intervals

16 Bar diameter continued Interval = 26.980 20 intervals

12 Bar diameter continued

0 3000 0 1200 0 2500

Interval = -15.000 20 intervals

Interval = 17.464 20 intervals

Interval = 17.926 20 intervals

20 Bar diameter continued Interval = 18.520 20 intervals

Interval = 18.784 20 intervals

Interval = 19.048 20 intervals

Nuz= 0.45 fcuAc + 0.95fyAsc

Date Version Action Size (kB)

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