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Input Section
Dimensions (inch) Design Parameters Design Loads
h (inch) = 13 fy (ksi) = 60 Force (kips) Moment (k.inch)
b (inch) = 13 f'c (ksi) = 3.5 62.4 55.76
Tcc = 2.375 Ast/Ag [Range: 0.01 -
0.0125 h
cc (inch) = 2 0.025] =
ps (sd) = 10(#3) 0.375
Optional Parameters cc
E (ksi) = 29000 In case not provided, use the sd
default values
εu (mm) = 0.003 rd3 R1 R2 R3

rr3
Rebar Selection
b
R1 R2 R3 R5
R4
16(#5) 16(#5) 16(#5)
R4 R5 rr4
16(#5) 16(#5)
R6 R7 R8 rd4 R6 R7 R8
16(#5) 16(#5) 16(#5)
sd
cc
Y

rd1 rr1 rd2

rr2

sd
cc
sd
cc
X

Output Section
rd1 (inch) 0.625 Gross Area, Ag (inch2) = 169 Rebar Area (inch2) Dia (inch) Total Steel Area (inch2) Ast/Ag Check
Rebar Parameters
rd2 (inch) 0.625 Required Steel Area, Ast (inch2) = 2.1125 R1 0.31 0.625
rd3 (inch) 0.625 R2 0.31 0.625
rd4 (inch) 0.625 R3 0.31 0.625
rr1 (inch) 3.5 R4 0.31 0.625
2.48 0.014674556
rr2 (inch) 3.5 R5 0.31 0.625
rr3 (inch) 3.5 R6 0.31 0.625
rr4 (inch) 3.5 R7 0.31 0.625
Pn (kips) = [0.85 f'c (Ag - Ast) + Ast fy] = 644.197 R8 0.31 0.625
ф Pn (kips) = 418.72805
αф Pn (kips) = 334.98244
All the calculations are for stirrups only
 Balanced Failure Condition - Bending Moment About Y Axis
Steel Strain, єy = fy/E 0.002068966
ϵy / ϵu = 0.689655172
Distance of Steel Force from Compression Surface, a' = 10.3125
Equation: Cb + (ϵy/ϵu)Cb = a'
Variables L.H.S R.H.S
Cb 6.1035 10.31281034 10.3125
Use Solver Add-In To Find the Value of Cb [See Appendix A1 for Help]

Table YB
Force Direction Moment Direction
Total Steel Area Along Steel Stress, fs = Es Stress Force, fs x Force, f Moment, M
Row No. 2 Steel Strain, ϵy +↑ (1 = +ve, 0 = - Moment Arm (inch) Moment (kip. Inch) (anti - clock +ve) [1
the Row (inch ) x ϵy (ksi) Validity Area (kips) (kips) (kip.inch)
ve) = +ve, 0 = -ve]
1 0.93 0.002068966 60 60 55.8 0 -55.8 3.8125 212.7375 1 212.7375
2 0.62 0.000194888 5.651757188 5.65176 3.504089457 1 3.50408946 0 0 1 0
3 0.93 0.001679037 48.69206193 48.6921 45.2836176 1 45.2836176 3.8125 172.6437921 1 172.6437921
Conc. β1 = 0.875 a= 5.3405625 206.5462547 1 206.546255 3.82971875 791.0140643 1 791.0140643
∑ 199.533962 1176.395356

Compression Failure Condition - Bending Moment About Y Axis

Cb = 10.0583 Table YC1
Force Direction Moment Direction
Total Steel Area Along Steel Stress, fs = Es Stress Force, fs x Force, f Moment, M
Row No. Steel Strain, ϵy +↑ (1 = +ve, 0 = - Moment Arm (inch) Moment (kip. Inch) (anti - clock +ve) [1
the Row (inch2) x ϵy (ksi) Validity Area (kips) (kips) (kip.inch)
ve) = +ve, 0 = -ve]
1 0.93 7.58078E-05 2.198425849 2.19843 2.04453604 0 -2.044536 3.8125 7.794793652 1 7.794793652
2 0.62 0.001061309 30.77796189 30.778 19.08233637 1 19.0823364 0 0 1 0
3 0.93 0.002198426 63.75434963 60 55.8 1 55.8 3.8125 212.7375 1 212.7375
Conc. β1 = 0.875 a= 8.801041667 340.3802865 1 340.380286 2.099479167 714.6213202 1 714.6213202
∑ 413.218087 935.1536138

Cb = 9.80417 Table YC2

Force Direction Moment Direction
Total Steel Area Along Steel Stress, fs = Es Stress Force, fs x Force, f Moment, M
Row No. Steel Strain, ϵy +↑ (1 = +ve, 0 = - Moment Arm (inch) Moment (kip. Inch) (anti - clock +ve) [1
the Row (inch2) x ϵy (ksi) Validity Area (kips) (kips) (kip.inch)
ve) = +ve, 0 = -ve]
1 0.93 0.000155546 4.510837229 4.51084 4.195078623 0 -4.1950786 3.8125 15.99373725 1 15.99373725
2 0.62 0.00101105 29.32044199 29.3204 18.17867403 1 18.178674 0 0 1 0
3 0.93 0.002177646 63.15172121 60 55.8 1 55.8 3.8125 212.7375 1 212.7375
Conc. β1 = 0.875 a= 8.578645833 331.7791276 1 331.779128 2.210677083 733.4565141 1 733.4565141
∑ 401.562723 962.1877514
 Cb = 9.55 Table YC3
Force Direction Moment Direction
Total Steel Area Along Steel Stress, fs = Es Stress Force, fs x Force, f Moment, M
Row No. Steel Strain, ϵy +↑ (1 = +ve, 0 = - Moment Arm (inch) Moment (kip. Inch) (anti - clock +ve) [1
the Row (inch2) x ϵy (ksi) Validity Area (kips) (kips) (kip.inch)
ve) = +ve, 0 = -ve]
1 0.93 0.000239529 6.946335079 6.94634 6.460091623 0 -6.4600916 3.8125 24.62909931 1 24.62909931
2 0.62 0.000958115 27.78534031 27.7853 17.22691099 1 17.226911 0 0 1 0
3 0.93 0.002155759 62.51701571 60 55.8 1 55.8 3.8125 212.7375 1 212.7375
Conc. β1 = 0.875 a= 8.35625 323.1779688 1 323.177969 2.321875 750.3788462 1 750.3788462
∑ 389.744788 987.7454455

Cb = 9.29583 Table YC4

Force Direction Moment Direction
Total Steel Area Along Steel Stress, fs = Es Stress Force, fs x Force, f Moment, M
Row No. Steel Strain, ϵy +↑ (1 = +ve, 0 = - Moment Arm (inch) Moment (kip. Inch) (anti - clock +ve) [1
the Row (inch2) x ϵy (ksi) Validity Area (kips) (kips) (kip.inch)
ve) = +ve, 0 = -ve]
1 0.93 0.000328104 9.515015688 9.51502 8.84896459 0 -8.8489646 3.8125 33.7366775 1 33.7366775
2 0.62 0.000902286 26.16629314 26.1663 16.22310175 1 16.2231017 0 0 1 0
3 0.93 0.002132676 61.84760197 60 55.8 1 55.8 3.8125 212.7375 1 212.7375
Conc. β1 = 0.875 a= 8.133854167 314.5768099 1 314.57681 2.433072917 765.3883164 1 765.3883164
∑ 377.750947 1011.862494

Cb = 9.04167 Table YC5

Force Direction Moment Direction
Total Steel Area Along Steel Stress, fs = Es Stress Force, fs x Force, f Moment, M
Row No. Steel Strain, ϵy +↑ (1 = +ve, 0 = - Moment Arm (inch) Moment (kip. Inch) (anti - clock +ve) [1
the Row (inch2) x ϵy (ksi) Validity Area (kips) (kips) (kip.inch)
ve) = +ve, 0 = -ve]
1 0.93 0.000421659 12.2281106 12.2281 11.37214286 0 -11.372143 3.8125 43.35629464 1 43.35629464
2 0.62 0.000843318 24.4562212 24.4562 15.16285714 1 15.1628571 0 0 1 0
3 0.93 0.002108295 61.140553 60 55.8 1 55.8 3.8125 212.7375 1 212.7375
Conc. β1 = 0.875 a= 7.911458333 305.975651 1 305.975651 2.544270833 778.4849247 1 778.4849247
∑ 365.566365 1034.578719

Cb = 8.7875 Table YC6

Force Direction Moment Direction
Total Steel Area Along Steel Stress, fs = Es Stress Force, fs x Force, f Moment, M
Row No. Steel Strain, ϵy +↑ (1 = +ve, 0 = - Moment Arm (inch) Moment (kip. Inch) (anti - clock +ve) [1
the Row (inch2) x ϵy (ksi) Validity Area (kips) (kips) (kip.inch)
ve) = +ve, 0 = -ve]
1 0.93 0.000520626 15.09815078 15.0982 14.04128023 0 -14.04128 3.8125 53.53238087 1 53.53238087
2 0.62 0.000780939 22.64722617 22.6472 14.04128023 1 14.0412802 0 0 1 0
3 0.93 0.002082504 60.39260313 60 55.8 1 55.8 3.8125 212.7375 1 212.7375
Conc. β1 = 0.875 a= 7.6890625 297.3744922 1 297.374492 2.65546875 789.6686711 1 789.6686711
∑ 353.174492 1055.938552
 Cb = 8.53333 Table YC7
Force Direction Moment Direction
Total Steel Area Along Steel Stress, fs = Es Stress Force, fs x Force, f Moment, M
Row No. Steel Strain, ϵy +↑ (1 = +ve, 0 = - Moment Arm (inch) Moment (kip. Inch) (anti - clock +ve) [1
the Row (inch2) x ϵy (ksi) Validity Area (kips) (kips) (kip.inch)
ve) = +ve, 0 = -ve]
1 0.93 0.000625488 18.13916016 18.1392 16.86941895 0 -16.869419 3.8125 64.31465973 1 64.31465973
2 0.62 0.000714844 20.73046875 20.7305 12.85289063 1 12.8528906 0 0 1 0
3 0.93 0.002055176 59.60009766 59.6001 55.42809082 1 55.4280908 3.8125 211.3195963 1 211.3195963
Conc. β1 = 0.875 a= 7.466666667 288.7733333 1 288.773333 2.766666667 798.9395556 1 798.9395556
∑ 340.184896 1074.573812

Cb = 8.27917 Table YC8

Force Direction Moment Direction
Total Steel Area Along Steel Stress, fs = Es Stress Force, fs x Force, f Moment, M
Row No. Steel Strain, ϵy +↑ (1 = +ve, 0 = - Moment Arm (inch) Moment (kip. Inch) (anti - clock +ve) [1
the Row (inch2) x ϵy (ksi) Validity Area (kips) (kips) (kip.inch)
ve) = +ve, 0 = -ve]
1 0.93 0.000736789 21.36688475 21.3669 19.87120282 0 -19.871203 3.8125 75.75896074 1 75.75896074
2 0.62 0.00064469 18.69602416 18.696 11.59153498 1 11.591535 0 0 1 0
3 0.93 0.00202617 58.75893306 58.7589 54.64580775 1 54.6458078 3.8125 208.337142 1 208.337142
Conc. β1 = 0.875 a= 7.244270833 280.1721745 1 280.172174 2.877864583 806.2975782 1 806.2975782
∑ 326.538314 1090.393681

Cb = 8.025 Table YC9

Force Direction Moment Direction
Total Steel Area Along Steel Stress, fs = Es Stress Force, fs x Force, f Moment, M
Row No. Steel Strain, ϵy +↑ (1 = +ve, 0 = - Moment Arm (inch) Moment (kip. Inch) (anti - clock +ve) [1
the Row (inch2) x ϵy (ksi) Validity Area (kips) (kips) (kip.inch)
ve) = +ve, 0 = -ve]
1 0.93 0.00085514 24.79906542 24.7991 23.06313084 0 -23.063131 3.8125 87.92818633 1 87.92818633
2 0.62 0.000570093 16.53271028 16.5327 10.25028037 1 10.2502804 0 0 1 0
3 0.93 0.001995327 57.86448598 57.8645 53.81397196 1 53.813972 3.8125 205.1657681 1 205.1657681
Conc. β1 = 0.875 a= 7.021875 271.5710156 1 271.571016 2.9890625 811.7427389 1 811.7427389
∑ 312.572137 1104.836693

Cb = 7.77083 Table YC10

Force Direction Moment Direction
Total Steel Area Along Steel Stress, fs = Es Stress Force, fs x Force, f Moment, M
Row No. Steel Strain, ϵy +↑ (1 = +ve, 0 = - Moment Arm (inch) Moment (kip. Inch) (anti - clock +ve) [1
the Row (inch2) x ϵy (ksi) Validity Area (kips) (kips) (kip.inch)
ve) = +ve, 0 = -ve]
1 0.93 0.000981233 28.45576408 28.4558 26.46386059 0 -26.463861 3.8125 100.8934685 1 100.8934685
2 0.62 0.000490617 14.22788204 14.2279 8.821286863 1 8.82128686 0 0 1 0
3 0.93 0.001962466 56.91152815 56.9115 52.92772118 1 52.9277212 3.8125 201.786937 1 201.786937
Conc. β1 = 0.875 a= 6.799479167 262.9698568 1 262.969857 3.100260417 815.2750377 1 815.2750377
∑ 298.255004 1117.955443
 Cb = 7.51667 Table YC11
Force Direction Moment Direction
Total Steel Area Along Steel Stress, fs = Es Stress Force, fs x Force, f Moment, M
Row No. Steel Strain, ϵy +↑ (1 = +ve, 0 = - Moment Arm (inch) Moment (kip. Inch) (anti - clock +ve) [1
the Row (inch2) x ϵy (ksi) Validity Area (kips) (kips) (kip.inch)
ve) = +ve, 0 = -ve]
1 0.93 0.001115854 32.3597561 32.3598 30.09457317 0 -30.094573 3.8125 114.7355602 1 114.7355602
2 0.62 0.000405765 11.76718404 11.7672 7.295654102 1 7.2956541 0 0 1 0
3 0.93 0.001927384 55.89412417 55.8941 51.98153548 1 51.9815355 3.8125 198.179604 1 198.179604
Conc. β1 = 0.875 a= 6.577083333 254.3686979 1 254.368698 3.211458333 816.8944747 1 816.8944747
∑ 283.551314 1129.809639

Cb = 7.2625 Table YC12

Force Direction Moment Direction
Total Steel Area Along Steel Stress, fs = Es Stress Force, fs x Force, f Moment, M
Row No. Steel Strain, ϵy +↑ (1 = +ve, 0 = - Moment Arm (inch) Moment (kip. Inch) (anti - clock +ve) [1
the Row (inch2) x ϵy (ksi) Validity Area (kips) (kips) (kip.inch)
ve) = +ve, 0 = -ve]
1 0.93 0.001259897 36.53700516 36.537 33.9794148 0 -33.979415 3.8125 129.5465189 1 129.5465189
2 0.62 0.000314974 9.134251291 9.13425 5.6632358 1 5.6632358 0 0 1 0
3 0.93 0.001889845 54.80550775 54.8055 50.9691222 1 50.9691222 3.8125 194.3197784 1 194.3197784
Conc. β1 = 0.875 a= 6.3546875 245.7675391 1 245.767539 3.32265625 816.6010497 1 816.6010497
∑ 268.420482 1140.467347

Cb = 7.00833 Table YC13

Force Direction Moment Direction
Total Steel Area Along Steel Stress, fs = Es Stress Force, fs x Force, f Moment, M
Row No. Steel Strain, ϵy +↑ (1 = +ve, 0 = - Moment Arm (inch) Moment (kip. Inch) (anti - clock +ve) [1
the Row (inch2) x ϵy (ksi) Validity Area (kips) (kips) (kip.inch)
ve) = +ve, 0 = -ve]
1 0.93 0.001414388 41.01724138 41.0172 38.14603448 0 -38.146034 3.8125 145.4317565 1 145.4317565
2 0.62 0.000217598 6.310344828 6.31034 3.912413793 1 3.91241379 0 0 1 0
3 0.93 0.001849584 53.63793103 53.6379 49.88327586 1 49.8832759 3.8125 190.1799892 1 190.1799892
Conc. β1 = 0.875 a= 6.132291667 237.1663802 1 237.16638 3.433854167 814.3947629 1 814.3947629
∑ 252.816035 1150.006509

Cb = 6.75417 Table YC14

Force Direction Moment Direction
Total Steel Area Along Steel Stress, fs = Es Stress Force, fs x Force, f Moment, M
Row No. Steel Strain, ϵy +↑ (1 = +ve, 0 = - Moment Arm (inch) Moment (kip. Inch) (anti - clock +ve) [1
the Row (inch2) x ϵy (ksi) Validity Area (kips) (kips) (kip.inch)
ve) = +ve, 0 = -ve]
1 0.93 0.001580506 45.83466996 45.8347 42.62624306 0 -42.626243 3.8125 162.5125517 1 162.5125517
2 0.62 0.000112893 3.273904997 3.2739 2.029821098 1 2.0298211 0 0 1 0
3 0.93 0.001806292 52.38247995 52.3825 48.71570635 1 48.7157064 3.8125 185.7286305 1 185.7286305
Conc. β1 = 0.875 a= 5.909895833 228.5652214 1 228.565221 3.545052083 810.2756141 1 810.2756141
∑ 236.684506 1158.516796
 Cb = 6.5 Table YC15
Force Direction Moment Direction
Total Steel Area Along Steel Stress, fs = Es Stress Force, fs x Force, f Moment, M
Row No. Steel Strain, ϵy +↑ (1 = +ve, 0 = - Moment Arm (inch) Moment (kip. Inch) (anti - clock +ve) [1
the Row (inch2) x ϵy (ksi) Validity Area (kips) (kips) (kip.inch)
ve) = +ve, 0 = -ve]
1 0.93 0.001759615 51.02884615 51.0288 47.45682692 0 -47.456827 3.8125 180.9291526 1 180.9291526
2 0.62 0 0 0 0 1 0 0 0 1 0
3 0.93 0.001759615 51.02884615 51.0288 47.45682692 1 47.4568269 3.8125 180.9291526 1 180.9291526
Conc. β1 = 0.875 a= 5.6875 219.9640625 1 219.964063 3.65625 804.2436035 1 804.2436035
∑ 219.964063 1166.101909
Tension Failure Condition - Moment About Y - Axis
Cb = 6.06667 Table YT1
Force Direction Moment Direction
Total Steel Area Along Steel Stress, fs = Es Stress Force, fs x Force, f Moment, M
Row No. Steel Strain, ϵy +↑ (1 = +ve, 0 = - Moment Arm (inch) Moment (kip. Inch) (anti - clock +ve) [1
the Row (inch2) x ϵy (ksi) Validity Area (kips) (kips) (kip.inch)
ve) = +ve, 0 = -ve]
1 0.93 0.002099588 60.88804945 60 55.8 0 -55.8 3.8125 212.7375 1 212.7375
2 0.62 0.000214286 6.214285714 6.21429 3.852857143 0 -3.8528571 0 0 1 0
3 0.93 0.001671016 48.45947802 48.4595 45.06731456 1 45.0673146 3.8125 171.8191368 1 171.8191368
Conc. β1 = 0.875 a= 5.308333333 205.2997917 1 205.299792 3.845833333 789.5487821 1 789.5487821
∑ 190.714249 1174.105419

Cb = 5.63333 Table YT2

Force Direction Moment Direction
Total Steel Area Along Steel Stress, fs = Es Stress Force, fs x Force, f Moment, M
Row No. Steel Strain, ϵy +↑ (1 = +ve, 0 = - Moment Arm (inch) Moment (kip. Inch) (anti - clock +ve) [1
the Row (inch2) x ϵy (ksi) Validity Area (kips) (kips) (kip.inch)
ve) = +ve, 0 = -ve]
1 0.93 0.002491864 72.26405325 60 55.8 0 -55.8 3.8125 212.7375 1 212.7375
2 0.62 0.000461538 13.38461538 13.3846 8.298461538 0 -8.2984615 0 0 1 0
3 0.93 0.001568787 45.49482249 45.4948 42.31018491 1 42.3101849 3.8125 161.30758 1 161.30758
Conc. β1 = 0.875 a= 4.929166667 190.6355208 1 190.635521 4.035416667 769.293758 1 769.293758
∑ 168.847244 1143.338838

Cb = 5.2 Table YT3

Force Direction Moment Direction
Total Steel Area Along Steel Stress, fs = Es Stress Force, fs x Force, f Moment, M
Row No. Steel Strain, ϵy +↑ (1 = +ve, 0 = - Moment Arm (inch) Moment (kip. Inch) (anti - clock +ve) [1
the Row (inch2) x ϵy (ksi) Validity Area (kips) (kips) (kip.inch)
ve) = +ve, 0 = -ve]
1 0.93 0.002949519 85.53605769 60 55.8 0 -55.8 3.8125 212.7375 1 212.7375
2 0.62 0.00075 21.75 21.75 13.485 0 -13.485 0 0 1 0
3 0.93 0.001449519 42.03605769 42.0361 39.09353365 1 39.0935337 3.8125 149.0440971 1 149.0440971
Conc. β1 = 0.875 a= 4.55 175.97125 1 175.97125 4.225 743.4785313 1 743.4785313
∑ 145.779784 1105.260128
 Cb = 4.76667 Table YT4
Force Direction Moment Direction
Total Steel Area Along Steel Stress, fs = Es Stress Force, fs x Force, f Moment, M
Row No. Steel Strain, ϵy +↑ (1 = +ve, 0 = - Moment Arm (inch) Moment (kip. Inch) (anti - clock +ve) [1
the Row (inch2) x ϵy (ksi) Validity Area (kips) (kips) (kip.inch)
ve) = +ve, 0 = -ve]
1 0.93 0.003490385 101.2211538 60 55.8 0 -55.8 3.8125 212.7375 1 212.7375
2 0.62 0.001090909 31.63636364 31.6364 19.61454545 0 -19.614545 0 0 1 0
3 0.93 0.001308566 37.94842657 37.9484 35.29203671 1 35.2920367 3.8125 134.55089 1 134.55089
Conc. β1 = 0.875 a= 4.170833333 161.3069792 1 161.306979 4.414583333 712.1031018 1 712.1031018
∑ 121.18447 1059.391492

Cb = 4.33333 Table YT5

Force Direction Moment Direction
Total Steel Area Along Steel Stress, fs = Es Stress Force, fs x Force, f Moment, M
Row No. Steel Strain, ϵy +↑ (1 = +ve, 0 = - Moment Arm (inch) Moment (kip. Inch) (anti - clock +ve) [1
the Row (inch2) x ϵy (ksi) Validity Area (kips) (kips) (kip.inch)
ve) = +ve, 0 = -ve]

1 0.93 0.004139423 120.0432692 60 55.8 0 -55.8 3.8125 212.7375 1 212.7375

2 0.62 0.0015 43.5 43.5 26.97 0 -26.97 0 0 1 0
3 0.93 0.001139423 33.04326923 33.0433 30.73024038 1 30.7302404 3.8125 117.1590415 1 117.1590415
Conc. β1 = 0.875 a= 3.791666667 146.6427083 1 146.642708 4.604166667 675.1674696 1 675.1674696
∑ 94.6029487 1005.064011

Cb = 3.9 Table YT6

Force Direction Moment Direction
Total Steel Area Along Steel Stress, fs = Es Stress Force, fs x Force, f Moment, M
Row No. Steel Strain, ϵy +↑ (1 = +ve, 0 = - Moment Arm (inch) Moment (kip. Inch) (anti - clock +ve) [1
the Row (inch2) x ϵy (ksi) Validity Area (kips) (kips) (kip.inch)
ve) = +ve, 0 = -ve]

1 0.93 0.004932692 143.0480769 60 55.8 0 -55.8 3.8125 212.7375 1 212.7375

2 0.62 0.002 58 58 35.96 0 -35.96 0 0 1 0
3 0.93 0.000932692 27.04807692 27.0481 25.15471154 1 25.1547115 3.8125 95.90233774 1 95.90233774
Conc. β1 = 0.875 a= 3.4125 131.9784375 1 131.978438 4.79375 632.6716348 1 632.6716348
∑ 65.373149 941.3114725

Cb = 3.46667 Table YT7

Force Direction Moment Direction
Total Steel Area Along Steel Stress, fs = Es Stress Force, fs x Force, f Moment, M
Row No. Steel Strain, ϵy +↑ (1 = +ve, 0 = - Moment Arm (inch) Moment (kip. Inch) (anti - clock +ve) [1
the Row (inch2) x ϵy (ksi) Validity Area (kips) (kips) (kip.inch)
ve) = +ve, 0 = -ve]

1 0.93 0.005924279 171.8040865 60 55.8 0 -55.8 3.8125 212.7375 1 212.7375

2 0.62 0.002625 76.125 60 37.2 0 -37.2 0 0 1 0
3 0.93 0.000674279 19.55408654 19.5541 18.18530048 1 18.1853005 3.8125 69.33145808 1 69.33145808
Conc. β1 = 0.875 a= 3.033333333 117.3141667 1 117.314167 4.983333333 584.6155972 1 584.6155972
∑ 42.4994671 866.6845553
 Cb = 3.03333 Table YT8
Force Direction Moment Direction
Total Steel Area Along Steel Stress, fs = Es Stress Force, fs x Force, f Moment, M
Row No. Steel Strain, ϵy +↑ (1 = +ve, 0 = - Moment Arm (inch) Moment (kip. Inch) (anti - clock +ve) [1
the Row (inch2) x ϵy (ksi) Validity Area (kips) (kips) (kip.inch)
ve) = +ve, 0 = -ve]

1 0.93 0.007199176 208.7760989 60 55.8 0 -55.8 3.8125 212.7375 1 212.7375

2 0.62 0.003428571 99.42857143 60 37.2 0 -37.2 0 0 1 0
3 0.93 0.000342033 9.918956044 9.91896 9.224629121 1 9.22462912 3.8125 35.16889852 1 35.16889852
Conc. β1 = 0.875 a= 2.654166667 102.6498958 1 102.649896 5.172916667 530.999357 1 530.999357
∑ 18.874525 778.9057555

Cb = 2.6 Table YT9

Force Direction Moment Direction
Total Steel Area Along Steel Stress, fs = Es Stress Force, fs x Force, f Moment, M
Row No. Steel Strain, ϵy +↑ (1 = +ve, 0 = - Moment Arm (inch) Moment (kip. Inch) (anti - clock +ve) [1
the Row (inch2) x ϵy (ksi) Validity Area (kips) (kips) (kip.inch)
ve) = +ve, 0 = -ve]

1 0.93 0.008899038 258.0721154 60 55.8 0 -55.8 3.8125 212.7375 1 212.7375

2 0.62 0.0045 130.5 60 37.2 0 -37.2 0 0 1 0
3 0.93 0.000100962 2.927884615 2.92788 2.722932692 1 2.72293269 3.8125 10.38118089 1 10.38118089
Conc. β1 = 0.875 a= 2.275 87.985625 1 87.985625 5.3625 471.8229141 1 471.8229141
∑ -2.2914423 694.941595

Cb = 2.16667 Table YT10

Force Direction Moment Direction
Total Steel Area Along Steel Stress, fs = Es Stress Force, fs x Force, f Moment, M
Row No. Steel Strain, ϵy +↑ (1 = +ve, 0 = - Moment Arm (inch) Moment (kip. Inch) (anti - clock +ve) [1
the Row (inch2) x ϵy (ksi) Validity Area (kips) (kips) (kip.inch)
ve) = +ve, 0 = -ve]

1 0.93 0.011278846 327.0865385 60 55.8 0 -55.8 3.8125 212.7375 1 212.7375

2 0.62 0.006 174 60 37.2 0 -37.2 0 0 1 0
3 0.93 0.000721154 20.91346154 20.9135 19.44951923 1 19.4495192 3.8125 74.15129207 1 74.15129207
Conc. β1 = 0.875 a= 1.895833333 73.32135417 1 73.3213542 5.552083333 407.0862684 1 407.0862684
∑ -0.2291266 693.9750605

Cb = 1.73333 Table YT11

Force Direction Moment Direction
Total Steel Area Along Steel Stress, fs = Es Stress Force, fs x Force, f Moment, M
Row No. Steel Strain, ϵy +↑ (1 = +ve, 0 = - Moment Arm (inch) Moment (kip. Inch) (anti - clock +ve) [1
the Row (inch2) x ϵy (ksi) Validity Area (kips) (kips) (kip.inch)
ve) = +ve, 0 = -ve]

1 0.93 0.014848558 430.6081731 60 55.8 0 -55.8 3.8125 212.7375 1 212.7375

2 0.62 0.00825 239.25 60 37.2 0 -37.2 0 0 1 0
3 0.93 0.001651442 47.89182692 47.8918 44.53939904 1 44.539399 3.8125 169.8064588 1 169.8064588
Conc. β1 = 0.875 a= 1.516666667 58.65708333 1 58.6570833 5.741666667 336.7894201 1 336.7894201
∑ 10.1964824 719.333379
 Cb = 1.3 Table YT12
Force Direction Moment Direction
Total Steel Area Along Steel Stress, fs = Es Stress Force, fs x Force, f Moment, M
Row No. Steel Strain, ϵy +↑ (1 = +ve, 0 = - Moment Arm (inch) Moment (kip. Inch) (anti - clock +ve) [1
the Row (inch2) x ϵy (ksi) Validity Area (kips) (kips) (kip.inch)
ve) = +ve, 0 = -ve]

1 0.93 0.020798077 603.1442308 60 55.8 0 -55.8 3.8125 212.7375 1 212.7375

2 0.62 0.012 348 60 37.2 0 -37.2 0 0 1 0
3 0.93 0.003201923 92.85576923 60 55.8 1 55.8 3.8125 212.7375 1 212.7375
Conc. β1 = 0.875 a= 1.1375 43.9928125 1 43.9928125 5.93125 260.9323691 1 260.9323691
∑ 6.7928125 686.4073691

Cb = 0.86667 Table YT13

Force Direction Moment Direction
Total Steel Area Along Steel Stress, fs = Es Stress Force, fs x Force, f Moment, M
Row No. Steel Strain, ϵy +↑ (1 = +ve, 0 = - Moment Arm (inch) Moment (kip. Inch) (anti - clock +ve) [1
the Row (inch2) x ϵy (ksi) Validity Area (kips) (kips) (kip.inch)
ve) = +ve, 0 = -ve]

1 0.93 0.032697115 948.2163462 60 55.8 0 -55.8 3.8125 212.7375 1 212.7375

2 0.62 0.0195 565.5 60 37.2 0 -37.2 0 0 1 0
3 0.93 0.006302885 182.7836538 60 55.8 1 55.8 3.8125 212.7375 1 212.7375
Conc. β1 = 0.875 a= 0.758333333 29.32854167 1 29.3285417 6.120833333 179.5151155 1 179.5151155
∑ -7.8714583 604.9901155

Cb = 0.43333 Table YT14

Force Direction Moment Direction
Total Steel Area Along Steel Stress, fs = Es Stress Force, fs x Force, f Moment, M
Row No. Steel Strain, ϵy +↑ (1 = +ve, 0 = - Moment Arm (inch) Moment (kip. Inch) (anti - clock +ve) [1
the Row (inch2) x ϵy (ksi) Validity Area (kips) (kips) (kip.inch)
ve) = +ve, 0 = -ve]

1 0.93 0.068394231 1983.432692 60 55.8 0 -55.8 3.8125 212.7375 1 212.7375

2 0.62 0.042 1218 60 37.2 0 -37.2 0 0 1 0
3 0.93 0.015605769 452.5673077 60 55.8 1 55.8 3.8125 212.7375 1 212.7375
Conc. β1 = 0.875 a= 0.379166667 14.66427083 1 14.6642708 6.310416667 92.53765907 1 92.53765907
∑ -22.535729 518.0126591

Cb = 0 Table YT15
Force Direction Moment Direction
Total Steel Area Along Steel Stress, fs = Es Stress Force, fs x Force, f Moment, M
Row No. Steel Strain, ϵy +↑ (1 = +ve, 0 = - Moment Arm (inch) Moment (kip. Inch) (anti - clock +ve) [1
the Row (inch2) x ϵy (ksi) Validity Area (kips) (kips) (kip.inch)
ve) = +ve, 0 = -ve]

1 0.93 #DIV/0! #DIV/0! #DIV/0! #DIV/0! 0 #DIV/0! 3.8125 #DIV/0! 1 #DIV/0!

2 0.62 #DIV/0! #DIV/0! #DIV/0! #DIV/0! 0 #DIV/0! 0 #DIV/0! 1 #DIV/0!
3 0.93 #DIV/0! #DIV/0! #DIV/0! #DIV/0! 1 #DIV/0! 3.8125 #DIV/0! 1 #DIV/0!
Conc. β1 = 0.875 a= 0 0 1 0 6.5 0 1 0
∑ #DIV/0! #DIV/0!
 Summary Table For Moment About X- Axis 700

P (kips) αP (kips) M (k.in) αM (k.in) αφPn M-P Curve

10.196482 6.62771 719.333379 467.5667 ACI Factored Curve
-0.229127 -0.14893 693.9750605 451.0838 334.98244 0 600
αφPn Line
-2.291442 -1.48944 694.941595 451.712 334.98244 150
18.874525 12.2684 778.9057555 506.2887 334.98244 300 Design Load
42.499467 27.6247 866.6845553 563.345 334.98244 450
500
65.373149 42.4925 941.3114725 611.8525 334.98244 600
94.602949 61.4919 1005.064011 653.2916 334.98244 750
121.18447 78.7699 1059.391492 688.6045 334.98244 900
145.77978 94.7569 1105.260128 718.4191 334.98244 1050 400
168.84724 109.751 1143.338838 743.1702 334.98244 1200
190.71425 123.964 1174.105419 763.1685 334.98244 1350
199.53396 129.697 1176.395356 764.657 334.98244 1500
219.96406 142.977 1166.101909 757.9662 334.98244 1650 300

236.68451 153.845 1158.516796 753.0359 334.98244 1800

252.81604 164.33 1150.006509 747.5042 334.98244 1950
268.42048 174.473 1140.467347 741.3038 334.98244 2100
200
283.55131 184.308 1129.809639 734.3763 334.98244 2250
298.255 193.866 1117.955443 726.671 334.98244 2400
312.57214 203.172 1104.836693 718.1439 334.98244 2550
326.53831 212.25 1090.393681 708.7559 334.98244 2700 100
340.1849 221.12 1074.573812 698.473 334.98244 2850
353.17449 229.563 1055.938552 686.3601 334.98244 3000
365.56637 237.618 1034.578719 672.4762 334.98244 3150
377.75095 245.538 1011.862494 657.7106 334.98244 3300 0
0 500 1000 1500 2000 2500 3000 3500 4000 4500
389.74479 253.334 987.7454455 642.0345 334.98244 3450
401.56272 261.016 962.1877514 625.422 334.98244 3600
413.21809 268.592 935.1536138 607.8498 334.98244 3750
-100
644.197 418.728 0 0 334.98244 3900
 Balanced Failure Condition - Bending Moment About X Axis
Steel Strain, єy = fy/E 0.002068966
ϵy / ϵu = 0.689655172
Distance of Steel Force from Compression Surface, a' = 10.3125
Equation: Cb + (ϵy/ϵu)Cb = a'
Variables L.H.S R.H.S
Cb 6.1035 10.31281034 10.3125
Use Solver Add-In To Find the Value of Cb [See Appendix A1 for Help]

Table XB
Force Direction Moment Direction
Total Steel Area Along Steel Stress, fs = Es Stress Force, fs x Force, f Moment, M
Row No. 2 Steel Strain, ϵy +↑ (1 = +ve, 0 = - Moment Arm (inch) Moment (kip. Inch) (anti - clock +ve) [1
the Row (inch ) x ϵy (ksi) Validity Area (kips) (kips) (kip.inch)
ve) = +ve, 0 = -ve]
1 0.93 0.002068966 60 60 55.8 0 -55.8 3.8125 212.7375 1 212.7375
2 0.62 0.000194888 5.651757188 5.65176 3.504089457 1 3.50408946 0 0 1 0
3 0.93 0.001679037 48.69206193 48.6921 45.2836176 1 45.2836176 3.8125 172.6437921 1 172.6437921
Conc. β1 = 0.875 a= 5.3405625 206.5462547 1 206.546255 3.82971875 791.0140643 1 791.0140643
∑ 199.533962 1176.395356

Compression Failure Condition - Bending Moment About X Axis

Cb = 10.0583 Table XC1
Force Direction Moment Direction
Total Steel Area Along Steel Stress, fs = Es Stress Force, fs x Force, f Moment, M
Row No. Steel Strain, ϵy +↑ (1 = +ve, 0 = - Moment Arm (inch) Moment (kip. Inch) (anti - clock +ve) [1
the Row (inch2) x ϵy (ksi) Validity Area (kips) (kips) (kip.inch)
ve) = +ve, 0 = -ve]
1 0.93 7.58078E-05 2.198425849 2.19843 2.04453604 0 -2.044536 3.8125 7.794793652 1 7.794793652
2 0.62 0.001061309 30.77796189 30.778 19.08233637 1 19.0823364 0 0 1 0
3 0.93 0.002198426 63.75434963 60 55.8 1 55.8 3.8125 212.7375 1 212.7375
Conc. β1 = 0.875 a= 8.801041667 340.3802865 1 340.380286 2.099479167 714.6213202 1 714.6213202
∑ 413.218087 935.1536138

Cb = 9.80417 Table XC2

Force Direction Moment Direction
Total Steel Area Along Steel Stress, fs = Es Stress Force, fs x Force, f Moment, M
Row No. Steel Strain, ϵy +↑ (1 = +ve, 0 = - Moment Arm (inch) Moment (kip. Inch) (anti - clock +ve) [1
the Row (inch2) x ϵy (ksi) Validity Area (kips) (kips) (kip.inch)
ve) = +ve, 0 = -ve]
1 0.93 0.000155546 4.510837229 4.51084 4.195078623 0 -4.1950786 3.8125 15.99373725 1 15.99373725
2 0.62 0.00101105 29.32044199 29.3204 18.17867403 1 18.178674 0 0 1 0
3 0.93 0.002177646 63.15172121 60 55.8 1 55.8 3.8125 212.7375 1 212.7375
Conc. β1 = 0.875 a= 8.578645833 331.7791276 1 331.779128 2.210677083 733.4565141 1 733.4565141
∑ 401.562723 962.1877514
 Cb = 9.55 Table XC3
Force Direction Moment Direction
Total Steel Area Along Steel Stress, fs = Es Stress Force, fs x Force, f Moment, M
Row No. Steel Strain, ϵy +↑ (1 = +ve, 0 = - Moment Arm (inch) Moment (kip. Inch) (anti - clock +ve) [1
the Row (inch2) x ϵy (ksi) Validity Area (kips) (kips) (kip.inch)
ve) = +ve, 0 = -ve]
1 0.93 0.000239529 6.946335079 6.94634 6.460091623 0 -6.4600916 3.8125 24.62909931 1 24.62909931
2 0.62 0.000958115 27.78534031 27.7853 17.22691099 1 17.226911 0 0 1 0
3 0.93 0.002155759 62.51701571 60 55.8 1 55.8 3.8125 212.7375 1 212.7375
Conc. β1 = 0.875 a= 8.35625 323.1779688 1 323.177969 2.321875 750.3788462 1 750.3788462
∑ 389.744788 987.7454455

Cb = 9.29583 Table XC4

Force Direction Moment Direction
Total Steel Area Along Steel Stress, fs = Es Stress Force, fs x Force, f Moment, M
Row No. Steel Strain, ϵy +↑ (1 = +ve, 0 = - Moment Arm (inch) Moment (kip. Inch) (anti - clock +ve) [1
the Row (inch2) x ϵy (ksi) Validity Area (kips) (kips) (kip.inch)
ve) = +ve, 0 = -ve]
1 0.93 0.000328104 9.515015688 9.51502 8.84896459 0 -8.8489646 3.8125 33.7366775 1 33.7366775
2 0.62 0.000902286 26.16629314 26.1663 16.22310175 1 16.2231017 0 0 1 0
3 0.93 0.002132676 61.84760197 60 55.8 1 55.8 3.8125 212.7375 1 212.7375
Conc. β1 = 0.875 a= 8.133854167 314.5768099 1 314.57681 2.433072917 765.3883164 1 765.3883164
∑ 377.750947 1011.862494

Cb = 9.04167 Table XC5

Force Direction Moment Direction
Total Steel Area Along Steel Stress, fs = Es Stress Force, fs x Force, f Moment, M
Row No. Steel Strain, ϵy +↑ (1 = +ve, 0 = - Moment Arm (inch) Moment (kip. Inch) (anti - clock +ve) [1
the Row (inch2) x ϵy (ksi) Validity Area (kips) (kips) (kip.inch)
ve) = +ve, 0 = -ve]
1 0.93 0.000421659 12.2281106 12.2281 11.37214286 0 -11.372143 3.8125 43.35629464 1 43.35629464
2 0.62 0.000843318 24.4562212 24.4562 15.16285714 1 15.1628571 0 0 1 0
3 0.93 0.002108295 61.140553 60 55.8 1 55.8 3.8125 212.7375 1 212.7375
Conc. β1 = 0.875 a= 7.911458333 305.975651 1 305.975651 2.544270833 778.4849247 1 778.4849247
∑ 365.566365 1034.578719

Cb = 8.7875 Table XC6

Force Direction Moment Direction
Total Steel Area Along Steel Stress, fs = Es Stress Force, fs x Force, f Moment, M
Row No. Steel Strain, ϵy +↑ (1 = +ve, 0 = - Moment Arm (inch) Moment (kip. Inch) (anti - clock +ve) [1
the Row (inch2) x ϵy (ksi) Validity Area (kips) (kips) (kip.inch)
ve) = +ve, 0 = -ve]
1 0.93 0.000520626 15.09815078 15.0982 14.04128023 0 -14.04128 3.8125 53.53238087 1 53.53238087
2 0.62 0.000780939 22.64722617 22.6472 14.04128023 1 14.0412802 0 0 1 0
3 0.93 0.002082504 60.39260313 60 55.8 1 55.8 3.8125 212.7375 1 212.7375
Conc. β1 = 0.875 a= 7.6890625 297.3744922 1 297.374492 2.65546875 789.6686711 1 789.6686711
∑ 353.174492 1055.938552

Cb = 8.53333 Table XC7

 Force Direction Moment Direction
Total Steel Area Along Steel Stress, fs = Es Stress Force, fs x Force, f Moment, M
Row No. Steel Strain, ϵy +↑ (1 = +ve, 0 = - Moment Arm (inch) Moment (kip. Inch) (anti - clock +ve) [1
the Row (inch2) x ϵy (ksi) Validity Area (kips) (kips) (kip.inch)
ve) = +ve, 0 = -ve]
1 0.93 0.000625488 18.13916016 18.1392 16.86941895 0 -16.869419 3.8125 64.31465973 1 64.31465973
2 0.62 0.000714844 20.73046875 20.7305 12.85289063 1 12.8528906 0 0 1 0
3 0.93 0.002055176 59.60009766 59.6001 55.42809082 1 55.4280908 3.8125 211.3195963 1 211.3195963
Conc. β1 = 0.875 a= 7.466666667 288.7733333 1 288.773333 2.766666667 798.9395556 1 798.9395556
∑ 340.184896 1074.573812

Cb = 8.27917 Table XC8

Force Direction Moment Direction
Total Steel Area Along Steel Stress, fs = Es Stress Force, fs x Force, f Moment, M
Row No. 2 Steel Strain, ϵy +↑ (1 = +ve, 0 = - Moment Arm (inch) Moment (kip. Inch) (anti - clock +ve) [1
the Row (inch ) x ϵy (ksi) Validity Area (kips) (kips) (kip.inch)
ve) = +ve, 0 = -ve]
1 0.93 0.000736789 21.36688475 21.3669 19.87120282 0 -19.871203 3.8125 75.75896074 1 75.75896074
2 0.62 0.00064469 18.69602416 18.696 11.59153498 1 11.591535 0 0 1 0
3 0.93 0.00202617 58.75893306 58.7589 54.64580775 1 54.6458078 3.8125 208.337142 1 208.337142
Conc. β1 = 0.875 a= 7.244270833 280.1721745 1 280.172174 2.877864583 806.2975782 1 806.2975782
∑ 326.538314 1090.393681

Cb = 8.025 Table XC9

Force Direction Moment Direction
Total Steel Area Along Steel Stress, fs = Es Stress Force, fs x Force, f Moment, M
Row No. Steel Strain, ϵy +↑ (1 = +ve, 0 = - Moment Arm (inch) Moment (kip. Inch) (anti - clock +ve) [1
the Row (inch2) x ϵy (ksi) Validity Area (kips) (kips) (kip.inch)
ve) = +ve, 0 = -ve]
1 0.93 0.00085514 24.79906542 24.7991 23.06313084 0 -23.063131 3.8125 87.92818633 1 87.92818633
2 0.62 0.000570093 16.53271028 16.5327 10.25028037 1 10.2502804 0 0 1 0
3 0.93 0.001995327 57.86448598 57.8645 53.81397196 1 53.813972 3.8125 205.1657681 1 205.1657681
Conc. β1 = 0.875 a= 7.021875 271.5710156 1 271.571016 2.9890625 811.7427389 1 811.7427389
∑ 312.572137 1104.836693

Cb = 7.77083 Table XC10

Force Direction Moment Direction
Total Steel Area Along Steel Stress, fs = Es Stress Force, fs x Force, f Moment, M
Row No. Steel Strain, ϵy +↑ (1 = +ve, 0 = - Moment Arm (inch) Moment (kip. Inch) (anti - clock +ve) [1
the Row (inch2) x ϵy (ksi) Validity Area (kips) (kips) (kip.inch)
ve) = +ve, 0 = -ve]
1 0.93 0.000981233 28.45576408 28.4558 26.46386059 0 -26.463861 3.8125 100.8934685 1 100.8934685
2 0.62 0.000490617 14.22788204 14.2279 8.821286863 1 8.82128686 0 0 1 0
3 0.93 0.001962466 56.91152815 56.9115 52.92772118 1 52.9277212 3.8125 201.786937 1 201.786937
Conc. β1 = 0.875 a= 6.799479167 262.9698568 1 262.969857 3.100260417 815.2750377 1 815.2750377
∑ 298.255004 1117.955443

Cb = 7.51667 Table XC11

 Force Direction Moment Direction
Total Steel Area Along Steel Stress, fs = Es Stress Force, fs x Force, f Moment, M
Row No. Steel Strain, ϵy +↑ (1 = +ve, 0 = - Moment Arm (inch) Moment (kip. Inch) (anti - clock +ve) [1
the Row (inch2) x ϵy (ksi) Validity Area (kips) (kips) (kip.inch)
ve) = +ve, 0 = -ve]
1 0.93 0.001115854 32.3597561 32.3598 30.09457317 0 -30.094573 3.8125 114.7355602 1 114.7355602
2 0.62 0.000405765 11.76718404 11.7672 7.295654102 1 7.2956541 0 0 1 0
3 0.93 0.001927384 55.89412417 55.8941 51.98153548 1 51.9815355 3.8125 198.179604 1 198.179604
Conc. β1 = 0.875 a= 6.577083333 254.3686979 1 254.368698 3.211458333 816.8944747 1 816.8944747
∑ 283.551314 1129.809639

Cb = 7.2625 Table XC12

Force Direction Moment Direction
Total Steel Area Along Steel Stress, fs = Es Stress Force, fs x Force, f Moment, M
Row No. 2 Steel Strain, ϵy +↑ (1 = +ve, 0 = - Moment Arm (inch) Moment (kip. Inch) (anti - clock +ve) [1
the Row (inch ) x ϵy (ksi) Validity Area (kips) (kips) (kip.inch)
ve) = +ve, 0 = -ve]
1 0.93 0.001259897 36.53700516 36.537 33.9794148 0 -33.979415 3.8125 129.5465189 1 129.5465189
2 0.62 0.000314974 9.134251291 9.13425 5.6632358 1 5.6632358 0 0 1 0
3 0.93 0.001889845 54.80550775 54.8055 50.9691222 1 50.9691222 3.8125 194.3197784 1 194.3197784
Conc. β1 = 0.875 a= 6.3546875 245.7675391 1 245.767539 3.32265625 816.6010497 1 816.6010497
∑ 268.420482 1140.467347

Cb = 7.00833 Table XC13

Force Direction Moment Direction
Total Steel Area Along Steel Stress, fs = Es Stress Force, fs x Force, f Moment, M
Row No. Steel Strain, ϵy +↑ (1 = +ve, 0 = - Moment Arm (inch) Moment (kip. Inch) (anti - clock +ve) [1
the Row (inch2) x ϵy (ksi) Validity Area (kips) (kips) (kip.inch)
ve) = +ve, 0 = -ve]
1 0.93 0.001414388 41.01724138 41.0172 38.14603448 0 -38.146034 3.8125 145.4317565 1 145.4317565
2 0.62 0.000217598 6.310344828 6.31034 3.912413793 1 3.91241379 0 0 1 0
3 0.93 0.001849584 53.63793103 53.6379 49.88327586 1 49.8832759 3.8125 190.1799892 1 190.1799892
Conc. β1 = 0.875 a= 6.132291667 237.1663802 1 237.16638 3.433854167 814.3947629 1 814.3947629
∑ 252.816035 1150.006509

Cb = 6.75417 Table XC14

Force Direction Moment Direction
Total Steel Area Along Steel Stress, fs = Es Stress Force, fs x Force, f Moment, M
Row No. Steel Strain, ϵy +↑ (1 = +ve, 0 = - Moment Arm (inch) Moment (kip. Inch) (anti - clock +ve) [1
the Row (inch2) x ϵy (ksi) Validity Area (kips) (kips) (kip.inch)
ve) = +ve, 0 = -ve]
1 0.93 0.001580506 45.83466996 45.8347 42.62624306 0 -42.626243 3.8125 162.5125517 1 162.5125517
2 0.62 0.000112893 3.273904997 3.2739 2.029821098 1 2.0298211 0 0 1 0
3 0.93 0.001806292 52.38247995 52.3825 48.71570635 1 48.7157064 3.8125 185.7286305 1 185.7286305
Conc. β1 = 0.875 a= 5.909895833 228.5652214 1 228.565221 3.545052083 810.2756141 1 810.2756141
∑ 236.684506 1158.516796

Cb = 6.5 Table XC15

 Force Direction Moment Direction
Total Steel Area Along Steel Stress, fs = Es Stress Force, fs x Force, f Moment, M
Row No. Steel Strain, ϵy +↑ (1 = +ve, 0 = - Moment Arm (inch) Moment (kip. Inch) (anti - clock +ve) [1
the Row (inch2) x ϵy (ksi) Validity Area (kips) (kips) (kip.inch)
ve) = +ve, 0 = -ve]
1 0.93 0.001759615 51.02884615 51.0288 47.45682692 0 -47.456827 3.8125 180.9291526 1 180.9291526
2 0.62 0 0 0 0 1 0 0 0 1 0
3 0.93 0.001759615 51.02884615 51.0288 47.45682692 1 47.4568269 3.8125 180.9291526 1 180.9291526
Conc. β1 = 0.875 a= 5.6875 219.9640625 1 219.964063 3.65625 804.2436035 1 804.2436035
∑ 219.964063 1166.101909
Tension Failure Condition - Moment About X - Axis
Cb = 6.06667 Table XT1
Force Direction Moment Direction
Total Steel Area Along Steel Stress, fs = Es Stress Force, fs x Force, f Moment, M
Row No. 2 Steel Strain, ϵy +↑ (1 = +ve, 0 = - Moment Arm (inch) Moment (kip. Inch) (anti - clock +ve) [1
the Row (inch ) x ϵy (ksi) Validity Area (kips) (kips) (kip.inch)
ve) = +ve, 0 = -ve]
1 0.93 0.002099588 60.88804945 60 55.8 0 -55.8 3.8125 212.7375 1 212.7375
2 0.62 0.000214286 6.214285714 6.21429 3.852857143 0 -3.8528571 0 0 1 0
3 0.93 0.001671016 48.45947802 48.4595 45.06731456 1 45.0673146 3.8125 171.8191368 1 171.8191368
Conc. β1 = 0.875 a= 5.308333333 205.2997917 1 205.299792 3.845833333 789.5487821 1 789.5487821
∑ 190.714249 1174.105419

Cb = 5.63333 Table XT2

Force Direction Moment Direction
Total Steel Area Along Steel Stress, fs = Es Stress Force, fs x Force, f Moment, M
Row No. Steel Strain, ϵy +↑ (1 = +ve, 0 = - Moment Arm (inch) Moment (kip. Inch) (anti - clock +ve) [1
the Row (inch2) x ϵy (ksi) Validity Area (kips) (kips) (kip.inch)
ve) = +ve, 0 = -ve]
1 0.93 0.002491864 72.26405325 60 55.8 0 -55.8 3.8125 212.7375 1 212.7375
2 0.62 0.000461538 13.38461538 13.3846 8.298461538 0 -8.2984615 0 0 1 0
3 0.93 0.001568787 45.49482249 45.4948 42.31018491 1 42.3101849 3.8125 161.30758 1 161.30758
Conc. β1 = 0.875 a= 4.929166667 190.6355208 1 190.635521 4.035416667 769.293758 1 769.293758
∑ 168.847244 1143.338838

Cb = 5.2 Table XT3

Force Direction Moment Direction
Total Steel Area Along Steel Stress, fs = Es Stress Force, fs x Force, f Moment, M
Row No. Steel Strain, ϵy +↑ (1 = +ve, 0 = - Moment Arm (inch) Moment (kip. Inch) (anti - clock +ve) [1
the Row (inch2) x ϵy (ksi) Validity Area (kips) (kips) (kip.inch)
ve) = +ve, 0 = -ve]
1 0.93 0.002949519 85.53605769 60 55.8 0 -55.8 3.8125 212.7375 1 212.7375
2 0.62 0.00075 21.75 21.75 13.485 0 -13.485 0 0 1 0
3 0.93 0.001449519 42.03605769 42.0361 39.09353365 1 39.0935337 3.8125 149.0440971 1 149.0440971
Conc. β1 = 0.875 a= 4.55 175.97125 1 175.97125 4.225 743.4785313 1 743.4785313
∑ 145.779784 1105.260128
 Cb = 4.76667 Table XT4
Force Direction Moment Direction
Total Steel Area Along Steel Stress, fs = Es Stress Force, fs x Force, f Moment, M
Row No. Steel Strain, ϵy +↑ (1 = +ve, 0 = - Moment Arm (inch) Moment (kip. Inch) (anti - clock +ve) [1
the Row (inch2) x ϵy (ksi) Validity Area (kips) (kips) (kip.inch)
ve) = +ve, 0 = -ve]
1 0.93 0.003490385 101.2211538 60 55.8 0 -55.8 3.8125 212.7375 1 212.7375
2 0.62 0.001090909 31.63636364 31.6364 19.61454545 0 -19.614545 0 0 1 0
3 0.93 0.001308566 37.94842657 37.9484 35.29203671 1 35.2920367 3.8125 134.55089 1 134.55089
Conc. β1 = 0.875 a= 4.170833333 161.3069792 1 161.306979 4.414583333 712.1031018 1 712.1031018
∑ 121.18447 1059.391492

Cb = 4.33333 Table XT5

Force Direction Moment Direction
Total Steel Area Along Steel Stress, fs = Es Stress Force, fs x Force, f Moment, M
Row No. Steel Strain, ϵy +↑ (1 = +ve, 0 = - Moment Arm (inch) Moment (kip. Inch) (anti - clock +ve) [1
the Row (inch2) x ϵy (ksi) Validity Area (kips) (kips) (kip.inch)
ve) = +ve, 0 = -ve]
1 0.93 0.004139423 120.0432692 60 55.8 0 -55.8 3.8125 212.7375 1 212.7375
2 0.62 0.0015 43.5 43.5 26.97 0 -26.97 0 0 1 0
3 0.93 0.001139423 33.04326923 33.0433 30.73024038 1 30.7302404 3.8125 117.1590415 1 117.1590415
Conc. β1 = 0.875 a= 3.791666667 146.6427083 1 146.642708 4.604166667 675.1674696 1 675.1674696
∑ 94.6029487 1005.064011

Cb = 3.9 Table XT6

Force Direction Moment Direction
Total Steel Area Along Steel Stress, fs = Es Stress Force, fs x Force, f Moment, M
Row No. Steel Strain, ϵy +↑ (1 = +ve, 0 = - Moment Arm (inch) Moment (kip. Inch) (anti - clock +ve) [1
the Row (inch2) x ϵy (ksi) Validity Area (kips) (kips) (kip.inch)
ve) = +ve, 0 = -ve]
1 0.93 0.004932692 143.0480769 60 55.8 0 -55.8 3.8125 212.7375 1 212.7375
2 0.62 0.002 58 58 35.96 0 -35.96 0 0 1 0
3 0.93 0.000932692 27.04807692 27.0481 25.15471154 1 25.1547115 3.8125 95.90233774 1 95.90233774
Conc. β1 = 0.875 a= 3.4125 131.9784375 1 131.978438 4.79375 632.6716348 1 632.6716348
∑ 65.373149 941.3114725

Cb = 3.46667 Table XT7

Force Direction Moment Direction
Total Steel Area Along Steel Stress, fs = Es Stress Force, fs x Force, f Moment, M
Row No. Steel Strain, ϵy +↑ (1 = +ve, 0 = - Moment Arm (inch) Moment (kip. Inch) (anti - clock +ve) [1
the Row (inch2) x ϵy (ksi) Validity Area (kips) (kips) (kip.inch)
ve) = +ve, 0 = -ve]
1 0.93 0.005924279 171.8040865 60 55.8 0 -55.8 3.8125 212.7375 1 212.7375
2 0.62 0.002625 76.125 60 37.2 0 -37.2 0 0 1 0
3 0.93 0.000674279 19.55408654 19.5541 18.18530048 1 18.1853005 3.8125 69.33145808 1 69.33145808
Conc. β1 = 0.875 a= 3.033333333 117.3141667 1 117.314167 4.983333333 584.6155972 1 584.6155972
∑ 42.4994671 866.6845553
 Cb = 3.03333 Table XT8
Force Direction Moment Direction
Total Steel Area Along Steel Stress, fs = Es Stress Force, fs x Force, f Moment, M
Row No. Steel Strain, ϵy +↑ (1 = +ve, 0 = - Moment Arm (inch) Moment (kip. Inch) (anti - clock +ve) [1
the Row (inch2) x ϵy (ksi) Validity Area (kips) (kips) (kip.inch)
ve) = +ve, 0 = -ve]
1 0.93 0.007199176 208.7760989 60 55.8 0 -55.8 3.8125 212.7375 1 212.7375
2 0.62 0.003428571 99.42857143 60 37.2 0 -37.2 0 0 1 0
3 0.93 0.000342033 9.918956044 9.91896 9.224629121 1 9.22462912 3.8125 35.16889852 1 35.16889852
Conc. β1 = 0.875 a= 2.654166667 102.6498958 1 102.649896 5.172916667 530.999357 1 530.999357
∑ 18.874525 778.9057555

Cb = 2.6 Table XT9

Force Direction Moment Direction
Total Steel Area Along Steel Stress, fs = Es Stress Force, fs x Force, f Moment, M
Row No. Steel Strain, ϵy +↑ (1 = +ve, 0 = - Moment Arm (inch) Moment (kip. Inch) (anti - clock +ve) [1
the Row (inch2) x ϵy (ksi) Validity Area (kips) (kips) (kip.inch)
ve) = +ve, 0 = -ve]
1 0.93 0.008899038 258.0721154 60 55.8 0 -55.8 3.8125 212.7375 1 212.7375
2 0.62 0.0045 130.5 60 37.2 0 -37.2 0 0 1 0
3 0.93 0.000100962 2.927884615 2.92788 2.722932692 1 2.72293269 3.8125 10.38118089 1 10.38118089
Conc. β1 = 0.875 a= 2.275 87.985625 1 87.985625 5.3625 471.8229141 1 471.8229141
∑ -2.2914423 694.941595

Cb = 2.16667 Table XT10

Force Direction Moment Direction
Total Steel Area Along Steel Stress, fs = Es Stress Force, fs x Force, f Moment, M
Row No. Steel Strain, ϵy +↑ (1 = +ve, 0 = - Moment Arm (inch) Moment (kip. Inch) (anti - clock +ve) [1
the Row (inch2) x ϵy (ksi) Validity Area (kips) (kips) (kip.inch)
ve) = +ve, 0 = -ve]
1 0.93 0.011278846 327.0865385 60 55.8 0 -55.8 3.8125 212.7375 1 212.7375
2 0.62 0.006 174 60 37.2 0 -37.2 0 0 1 0
3 0.93 0.000721154 20.91346154 20.9135 19.44951923 1 19.4495192 3.8125 74.15129207 1 74.15129207
Conc. β1 = 0.875 a= 1.895833333 73.32135417 1 73.3213542 5.552083333 407.0862684 1 407.0862684
∑ -0.2291266 693.9750605

Cb = 1.73333 Table XT11

Force Direction Moment Direction
Total Steel Area Along Steel Stress, fs = Es Stress Force, fs x Force, f Moment, M
Row No. Steel Strain, ϵy +↑ (1 = +ve, 0 = - Moment Arm (inch) Moment (kip. Inch) (anti - clock +ve) [1
the Row (inch2) x ϵy (ksi) Validity Area (kips) (kips) (kip.inch)
ve) = +ve, 0 = -ve]
1 0.93 0.014848558 430.6081731 60 55.8 0 -55.8 3.8125 212.7375 1 212.7375
2 0.62 0.00825 239.25 60 37.2 0 -37.2 0 0 1 0
3 0.93 0.001651442 47.89182692 47.8918 44.53939904 1 44.539399 3.8125 169.8064588 1 169.8064588
Conc. β1 = 0.875 a= 1.516666667 58.65708333 1 58.6570833 5.741666667 336.7894201 1 336.7894201
∑ 10.1964824 719.333379
 Cb = 1.3 Table XT12
Force Direction Moment Direction
Total Steel Area Along Steel Stress, fs = Es Stress Force, fs x Force, f Moment, M
Row No. Steel Strain, ϵy +↑ (1 = +ve, 0 = - Moment Arm (inch) Moment (kip. Inch) (anti - clock +ve) [1
the Row (inch2) x ϵy (ksi) Validity Area (kips) (kips) (kip.inch)
ve) = +ve, 0 = -ve]
1 0.93 0.020798077 603.1442308 60 55.8 0 -55.8 3.8125 212.7375 1 212.7375
2 0.62 0.012 348 60 37.2 0 -37.2 0 0 1 0
3 0.93 0.003201923 92.85576923 60 55.8 1 55.8 3.8125 212.7375 1 212.7375
Conc. β1 = 0.875 a= 1.1375 43.9928125 1 43.9928125 5.93125 260.9323691 1 260.9323691
∑ 6.7928125 686.4073691

Cb = 0.86667 Table XT13

Force Direction Moment Direction
Total Steel Area Along Steel Stress, fs = Es Stress Force, fs x Force, f Moment, M
Row No. Steel Strain, ϵy +↑ (1 = +ve, 0 = - Moment Arm (inch) Moment (kip. Inch) (anti - clock +ve) [1
the Row (inch2) x ϵy (ksi) Validity Area (kips) (kips) (kip.inch)
ve) = +ve, 0 = -ve]
1 0.93 0.032697115 948.2163462 60 55.8 0 -55.8 3.8125 212.7375 1 212.7375
2 0.62 0.0195 565.5 60 37.2 0 -37.2 0 0 1 0
3 0.93 0.006302885 182.7836538 60 55.8 1 55.8 3.8125 212.7375 1 212.7375
Conc. β1 = 0.875 a= 0.758333333 29.32854167 1 29.3285417 6.120833333 179.5151155 1 179.5151155
∑ -7.8714583 604.9901155

Cb = 0.43333 Table XT14

Force Direction Moment Direction
Total Steel Area Along Steel Stress, fs = Es Stress Force, fs x Force, f Moment, M
Row No. Steel Strain, ϵy +↑ (1 = +ve, 0 = - Moment Arm (inch) Moment (kip. Inch) (anti - clock +ve) [1
the Row (inch2) x ϵy (ksi) Validity Area (kips) (kips) (kip.inch)
ve) = +ve, 0 = -ve]
1 0.93 0.068394231 1983.432692 60 55.8 0 -55.8 3.8125 212.7375 1 212.7375
2 0.62 0.042 1218 60 37.2 0 -37.2 0 0 1 0
3 0.93 0.015605769 452.5673077 60 55.8 1 55.8 3.8125 212.7375 1 212.7375
Conc. β1 = 0.875 a= 0.379166667 14.66427083 1 14.6642708 6.310416667 92.53765907 1 92.53765907
∑ -22.535729 518.0126591

Cb = 0 Table XT15
Force Direction Moment Direction
Total Steel Area Along Steel Stress, fs = Es Stress Force, fs x Force, f Moment, M
Row No. Steel Strain, ϵy +↑ (1 = +ve, 0 = - Moment Arm (inch) Moment (kip. Inch) (anti - clock +ve) [1
the Row (inch2) x ϵy (ksi) Validity Area (kips) (kips) (kip.inch)
ve) = +ve, 0 = -ve]
1 0.93 #DIV/0! #DIV/0! #DIV/0! #DIV/0! 0 #DIV/0! 3.8125 #DIV/0! 1 #DIV/0!
2 0.62 #DIV/0! #DIV/0! #DIV/0! #DIV/0! 0 #DIV/0! 0 #DIV/0! 1 #DIV/0!
3 0.93 #DIV/0! #DIV/0! #DIV/0! #DIV/0! 1 #DIV/0! 3.8125 #DIV/0! 1 #DIV/0!
Conc. β1 = 0.875 a= 0 0 1 0 6.5 0 1 0
∑ #DIV/0! #DIV/0!
 Summary Table For Moment About X- Axis
700
P (kips) αP (kips) M (k.in) αM (k.in) αφPn
M-P Curve
10.196482 6.62771 719.333379 467.5667
-0.229127 -0.14893 693.9750605 451.0838 334.98244 0 ACI Factored Curve
600
-2.291442 -1.48944 694.941595 451.712 334.98244 150
αφPn Line
18.874525 12.2684 778.9057555 506.2887 334.98244 300
42.499467 27.6247 866.6845553 563.345 334.98244 450 Design Load
65.373149 42.4925 941.3114725 611.8525 334.98244 600 500
94.602949 61.4919 1005.064011 653.2916 334.98244 750
121.18447 78.7699 1059.391492 688.6045 334.98244 900
145.77978 94.7569 1105.260128 718.4191 334.98244 1050
168.84724 109.751 1143.338838 743.1702 334.98244 1200 400

190.71425 123.964 1174.105419 763.1685 334.98244 1350

199.53396 129.697 1176.395356 764.657 334.98244 1500
219.96406 142.977 1166.101909 757.9662 334.98244 1650 300
236.68451 153.845 1158.516796 753.0359 334.98244 1800
252.81604 164.33 1150.006509 747.5042 334.98244 1950
268.42048 174.473 1140.467347 741.3038 334.98244 2100
283.55131 184.308 1129.809639 734.3763 334.98244 2250 200
298.255 193.866 1117.955443 726.671 334.98244 2400
312.57214 203.172 1104.836693 718.1439 334.98244 2550
326.53831 212.25 1090.393681 708.7559 334.98244 2700
100
340.1849 221.12 1074.573812 698.473 334.98244 2850
353.17449 229.563 1055.938552 686.3601 334.98244 3000
365.56637 237.618 1034.578719 672.4762 334.98244 3150
377.75095 245.538 1011.862494 657.7106 334.98244 3300 0
389.74479 253.334 987.7454455 642.0345 334.98244 3450 0 500 1000 1500 2000 2500 3000 3500 4000 4500

401.56272 261.016 962.1877514 625.422 334.98244 3600

413.21809 268.592 935.1536138 607.8498 334.98244 3750
-100
644.197 418.728 0 0 334.98244 3900