This document contains technical data related to structural analysis, including node coordinates, member properties, internal forces, and stress ratios. It provides deflection and stress results for 16 members in a frame structure under loading. Stress ratios are all below limits specified in the document.

1. 316431.8025
‐9.31323E‐10
Target Function
weight
[K]{Δ}‐[P]=0
600
25
26
27
Min Max
bf= 30 10 30 D3= ‐1.56E‐03 ‐0.0016 0% D22= 0.5520118 0.5520 0% D41= ‐0.00103 ‐0.0010 0%
tf= 2 0.5 2 D4= 0.153448 0.1534 0% D23= ‐0.0559137 ‐0.0559 0% D42= ‐0.00119 ‐0.0012 0%
tw= 2 0.5 2 D5= 0.000446 0.0004 0% D24= 0.0005362 0.0005 0% D43= 0.295904 0.2959 0%
hw1= 30 10 70 D6= ‐0.00148 ‐0.0015 0% D25= 0.5379352 0.5379 0% D44= ‐0.00072 ‐0.0007 0%
hw2= 40 10 70 D7= 0.295265 0.2953 0% D26= 0.0024143 0.0024 0% D45= ‐0.00134 ‐0.0013 0%
hw3= 50 10 70 D8= 0.000848 0.0008 0% D27= 0.0005569 0.0006 0% D46= 0.154001 0.1540 0%
hw4= 60 10 70 D9= ‐0.00134 ‐0.0013 0% D28= 0.5511395 0.5511 0% D47= ‐0.00038 ‐0.0004 0%
hw5= 30 10 70 D10= 0.422767 0.4228 0% D29= 0.0565684 0.0566 0% D48= ‐0.00148 ‐0.0015 0%
hw6= 25 10 70 D11= 0.001213 0.0012 0% D30= 0.0005186 0.0005 0% D51= ‐0.00157 ‐0.0016 0%
hw7= 20 10 70 D12= ‐0.0012 ‐0.0012 0% D31= 0.5583651 0.5584 0%
hw8= 20 10 70 D13= 0.536216 0.5362 0% D32= 0.0873582 0.0874 0%
hw9= 60 10 70 D14= 0.001548 0.0015 0% D33= 5.769E‐05 0.0001 0%
hw10= 25 10 70 D15= ‐0.00106 ‐0.0011 0% D34= 0.5537604 0.5538 0%
h 11 30 10 70 D16= 0 555507 0 5555 0% D35= 0 0707215 0 0707 0%
200
300
400
500
1
3
14
15 37
38
39
h2
h1
2
3
4
5
6
7
8 9
1
0
1
1
1
2
1
3
1
4
1
5
hw11= 30 10 70 D16= 0.555507 0.5555 0% D35= 0.0707215 0.0707 0%
hw12= 30 10 70 D17= ‐0.07382 ‐0.0738 0% D36= ‐0.0004185 ‐0.0004 0%
hw13= 60 10 70 D18= ‐0.00048 ‐0.0005 0% D37= 0.5353047 0.5353 0%
hw14= 50 10 70 D19= 0.560238 0.5602 0% D38= ‐0.0013189 ‐0.0013 0%
hw15= 40 10 70 D20= ‐0.09084 ‐0.0908 0% D39= ‐0.0010504 ‐0.0011 0%
hw16= 30 10 70 D21= 8.89E‐05 0.0001 0% D40= 0.4229138 0.4229 0%
L1= 400 L2= 400 h1= 400 h2= 100
E= 2.10E+06 σy= 2400 Fa= 1440 Fv= 960 Fb= 1440
node coordinate-X coordinate-Y Px Py Mz Ux Uy θz 100
x y x y N V M fv/Fv N V M fv/Fv 1 0 0 0 0 0 0 0 ‐0.00156
1 0 0 0 100 100 ‐1687.500 1225.31 0 0.0071 1687.500 ‐1225.31 122531 0.0071 2 0 100 0 0 0 0.15345 0.00045 ‐0.00148
2 0 100 0 200 100 ‐1687.500 1225.31 ‐122531 0.0064 1687.500 ‐1225.31 245062.1 0.0064 3 0 200 0 0 0 0.29527 0.00085 ‐0.00134
3 0 200 0 300 100 ‐1687.500 1225.31 ‐245062 0.0058 1687.500 ‐1225.31 367593.1 0.0058 4 0 300 0 0 0 0.42277 0.00121 ‐0.00120
4 0 300 0 400 100 ‐1687.500 1225.31 ‐367593 0.0053 1687.500 ‐1225.31 490124.2 0.0053 5 0 400 0 0 0 0.53622 0.00155 ‐0.00106
5 0 400 100 425 103 0776 1598 005 1339 93 490124 0 0078 1598 005 1339 934 352006 9 0 0078 6 100 425 0 0 0 0 55551 0 07382 0 00048
stress ratioInternal Force‐start‐i stress ratio
(fa/Fa)+(fb/Fb)
0.0065
0.0353
member start end Define Scale Factor to show Deformation :
(fa/Fa)+(fb/Fb)
L
Internal Force‐end‐j
0 1703
0.048
0.065
0.073
0.077
0 124
0.0504
0.0589
‐100
0
100
-100 0 100 200 300 400 500 600 700 800 900
1
2
3 49
50
51
Δx
Δy
θz
L1
L
2
b
f
tw+2t
f
Z
X
1
1
6
5 0 400 100 425 103.0776 ‐1598.005 ‐1339.93 ‐490124 0.0078 1598.005 1339.934 352006.9 0.0078 6 100 425 0 0 0 0.55551 ‐0.07382 ‐0.00048
6 100 425 200 450 103.0776 ‐1598.005 ‐1339.93 ‐352007 0.0082 1598.005 1339.934 213889.7 0.0082 7 200 450 0 0 0 0.56024 ‐0.09084 0.00009
7 200 450 300 475 103.0776 ‐1598.005 ‐1339.93 ‐213890 0.0087 1598.005 1339.934 75772.45 0.0087 8 300 475 0 0 0 0.55201 ‐0.05591 0.00054
8 300 475 400 500 103.0776 ‐1598.005 ‐1339.93 ‐75772.5 0.0087 1598.005 1339.934 ‐62344.8 0.0087 9 400 500 2500 250 0 0.53794 0.00241 0.00056
9 400 500 500 475 103.0776 1585.275 ‐1085.42 62344.78 0.0047 ‐1585.275 1085.4222 ‐174228 0.0047 10 500 475 0 0 0 0.55114 0.05657 0.00052
10 500 475 600 450 103.0776 1585.275 ‐1085.42 174227.5 0.0067 ‐1585.275 1085.4222 ‐286110 0.0067 11 600 450 0 0 0 0.55837 0.08736 0.00006
11 600 450 700 425 103.0776 1585.275 ‐1085.42 286110.3 0.0063 ‐1585.275 1085.4222 ‐397993 0.0063 12 700 425 0 0 0 0.55376 0.07072 ‐0.00042
12 700 425 800 400 103.0776 1585.275 ‐1085.42 397993.1 0.0063 ‐1585.275 1085.4222 ‐509876 0.0063 13 800 400 0 0 0 0.53530 ‐0.00132 ‐0.00105
13 800 400 800 300 100 1437.500 1274.69 509875.8 0.0055 ‐1437.500 ‐1274.69 ‐382407 0.0055 14 800 300 0 0 0 0.42291 ‐0.00103 ‐0.00119
14 800 300 800 200 100 1437.500 1274.69 382406.9 0.0060 ‐1437.500 ‐1274.69 ‐254938 0.0060 15 800 200 0 0 0 0.29590 ‐0.00072 ‐0.00134
15 800 200 800 100 100 1437.500 1274.69 254937.9 0.0066 ‐1437.500 ‐1274.69 ‐127469 0.0066 16 800 100 0 0 0 0.15400 ‐0.00038 ‐0.00148
16 800 100 800 0 100 1437.500 1274.69 127469 0.0074 ‐1437.500 ‐1274.69 0 0.0074 17 800 0 0 0 0 0 0 ‐0.00157
lanada‐x= 0 y= 17 I= 35260 4EI/L= 2.96E+09 6EI/L^2= 4.4E+07
lanada‐y= 1 A= 180 EA/L= 3780000 2EI/L= 1.48E+09 12EI/L^3= 888552
1 2 3 4 5 6 1
888552 0 ‐4.4E+07 ‐888552 0 ‐4.4E+07 1 3780000 0 0 ‐3780000 0 0 0 1 0 0 0 0 0 3780000 0 0 ‐3780000 0 0 ‐1687.5 fa‐i= 9.375 < 1440 (fa/Fa)= 0.00651 <
0.0482
0.1191
0.1511
0.1703
0.0790
0.0748
0.0662
0.124
0.094
0.1394 0.177
0.060
0.051
0.0467
0.0137
0.0780
0.1019
0.036
0.006
0.047
0.040
0.030
0.124
0.139
0 3780000 0 0 ‐3780000 0 2 0 888552 44427600 0 ‐888552 44427600 ‐1 0 0 0 0 0 ‐888552 0 44427600 888552 0 44427600 0 1225.31 fv‐i= 6.8072802 < 960 (fv/Fv)= 0.007091 <
‐4.4E+07 0 2.96E+09 44427600 0 1.48E+09 3 0 44427600 2.962E+09 0 ‐44427600 1.48E+09 0 0 1 0 0 0 ‐4.4E+07 0 2.962E+09 44427600 0 1.481E+09 ‐0.00156205 0 fb‐i= 4.49E‐13 < 1440 (fa/Fa)+(fb/Fb)= 0.00651 <
‐888552 0 44427600 888552 0 44427600 4 ‐3780000 0 0 3780000 0 0 X 0 0 0 0 1 0 = 0 ‐3780000 0 0 3780000 0 X 0.1534475 = 1687.5 fa‐j= 9.375 < 1440 hw1/tw= 15 <
0 ‐3780000 0 0 3780000 0 5 0 ‐888552 ‐44427600 0 888552 ‐44427600 0 0 0 ‐1 0 0 888552 0 ‐44427600 ‐888552 0 ‐44427600 0.000446429 ‐1225.31 fv‐j= 6.8072802 < 960 (fv/Fv)= 0.007091 <
‐4.4E+07 0 1.48E+09 44427600 0 2.96E+09 6 0 44427600 1.481E+09 0 ‐44427600 2.96E+09 0 0 0 0 0 1 ‐4.4E+07 0 1.481E+09 44427600 0 2.962E+09 ‐0.00147932 122531 fb‐j= 59.076226 < 1440 (fa/Fa)+(fb/Fb)= 0.047536 <
lanada‐x= 0 y= 22 I= 63626.67 4EI/L= 5.34E+09 6EI/L^2= 8E+07
lanada‐y= 1 A= 200 EA/L= 4200000 2EI/L= 2.67E+09 12EI/L^3= 1603392
4 5 6 7 8 9 2
1603392 0 ‐8E+07 ‐1603392 0 ‐8E+07 4 4200000 0 0 ‐4200000 0 0 0 1 0 0 0 0 0 4200000 0 0 ‐4200000 0 0.1534475 ‐1687.5 fa‐i= 8.4375 < 1440 (fa/Fa)= 0.005859 <
0 4200000 0 0 ‐4200000 0 5 0 1603392 80169600 0 ‐1603392 80169600 ‐1 0 0 0 0 0 ‐1603392 0 80169600 1603392 0 80169600 0.000446429 1225.31 fv‐i= 6.1265522 < 960 (fv/Fv)= 0.006382 <
‐8E+07 0 5.34E+09 80169600 0 2.67E+09 6 0 80169600 5.345E+09 0 ‐80169600 2.67E+09 0 0 1 0 0 0 ‐8E+07 0 5.345E+09 80169600 0 2.672E+09 ‐0.00147932 ‐122531 fb‐i= 42.367188 < 1440 (fa/Fa)+(fb/Fb)= 0.035281 <
‐1603392 0 80169600 1603392 0 80169600 7 ‐4200000 0 0 4200000 0 0 X 0 0 0 0 1 0 = 0 ‐4200000 0 0 4200000 0 X 0.295265421 = 1687.5 fa‐j= 8.4375 < 1440 hw2/tw= 20 <
0 ‐4200000 0 0 4200000 0 8 0 ‐1603392 ‐80169600 0 1603392 ‐80169600 0 0 0 ‐1 0 0 1603392 0 ‐80169600 ‐1603392 0 ‐80169600 0.000848214 ‐1225.31 fv‐j= 6.1265522 < 960 (fv/Fv)= 0.006382 <
‐8E+07 0 2.67E+09 80169600 0 5.34E+09 9 0 80169600 2.672E+09 0 ‐80169600 5.34E+09 0 0 0 0 0 1 ‐8E+07 0 2.672E+09 80169600 0 5.345E+09 ‐0.00134176 245062.1 fb‐j= 84.734376 < 1440 (fa/Fa)+(fb/Fb)= 0.064703 <
lanada‐x= 0 y= 27 I= 101993.3 4EI/L= 8.57E+09 6EI/L^2= 1.3E+08
lanada‐y= 1 A= 220 EA/L= 4620000 2EI/L= 4.28E+09 12EI/L^3= 2570232y / / /
7 8 9 10 11 12 3
2570232 0 ‐1.3E+08 ‐2570232 0 ‐1.3E+08 7 4620000 0 0 ‐4620000 0 0 0 1 0 0 0 0 0 4620000 0 0 ‐4620000 0 0.295265421 ‐1687.5 fa‐i= 7.6704545 < 1440 (fa/Fa)= 0.005327 <
0 4620000 0 0 ‐4620000 0 8 0 2570232 128511600 0 ‐2570232 1.29E+08 ‐1 0 0 0 0 0 ‐2570232 0 128511600 2570232 0 128511600 0.000848214 1225.31 fv‐i= 5.5695929 < 960 (fv/Fv)= 0.005802 <
‐1.3E+08 0 8.57E+09 128511600 0 4.28E+09 9 0 128511600 8.567E+09 0 ‐128511600 4.28E+09 0 0 1 0 0 0 ‐1.3E+08 0 8.567E+09 1.29E+08 0 4.284E+09 ‐0.00134176 ‐245062.1 fb‐i= 64.873616 < 1440 (fa/Fa)+(fb/Fb)= 0.050378 <
‐2570232 0 1.29E+08 2570232 0 1.29E+08 10 ‐4620000 0 0 4620000 0 0 X 0 0 0 0 1 0 = 0 ‐4620000 0 0 4620000 0 X 0.422767113 = 1687.5 fa‐j= 7.6704545 < 1440 hw3/tw= 25 <
0 ‐4620000 0 0 4620000 0 11 0 ‐2570232 ‐1.29E+08 0 2570232 ‐1.29E+08 0 0 0 ‐1 0 0 2570232 0 ‐1.29E+08 ‐2570232 0 ‐1.29E+08 0.001213474 ‐1225.31 fv‐j= 5.5695929 < 960 (fv/Fv)= 0.005802 <
‐1.3E+08 0 4.28E+09 128511600 0 8.57E+09 12 0 128511600 4.284E+09 0 ‐128511600 8.57E+09 0 0 0 0 0 1 ‐1.3E+08 0 4.284E+09 1.29E+08 0 8.567E+09 ‐0.00119874 367593.1 fb‐j= 97.310424 < 1440 (fa/Fa)+(fb/Fb)= 0.072903 <
lanada‐x= 0 y= 32 I= 151360 4EI/L= 1.27E+10 6EI/L^2= 1.9E+08
lanada‐y= 1 A= 240 EA/L= 5040000 2EI/L= 6.36E+09 12EI/L^3= 3814272
10 11 12 13 14 15 4
3814272 0 ‐1.9E+08 ‐3814272 0 ‐1.9E+08 10 5040000 0 0 ‐5040000 0 0 0 1 0 0 0 0 0 5040000 0 0 ‐5040000 0 0.422767113 ‐1687.5 fa‐i= 7.03125 < 1440 (fa/Fa)= 0.004883 <
0 5040000 0 0 ‐5040000 0 11 0 3814272 190713600 0 ‐3814272 1.91E+08 ‐1 0 0 0 0 0 ‐3814272 0 190713600 3814272 0 190713600 0.001213474 1225.31 fv‐i= 5.1054601 < 960 (fv/Fv)= 0.005318 <
‐1.9E+08 0 1.27E+10 190713600 0 6.36E+09 12 0 190713600 1.271E+10 0 ‐190713600 6.36E+09 0 0 1 0 0 0 ‐1.9E+08 0 1.271E+10 1.91E+08 0 6.357E+09 ‐0.00119874 ‐367593.1 fb‐i= 77.715249 < 1440 (fa/Fa)+(fb/Fb)= 0.058852 <
‐3814272 0 1.91E+08 3814272 0 1.91E+08 13 ‐5040000 0 0 5040000 0 0 X 0 0 0 0 1 0 = 0 ‐5040000 0 0 5040000 0 X 0.53621623 = 1687.5 fa‐j= 7.03125 < 1440 hw4/tw= 30 <
0 ‐5040000 0 0 5040000 0 14 0 ‐3814272 ‐1.91E+08 0 3814272 ‐1.91E+08 0 0 0 ‐1 0 0 3814272 0 ‐1.91E+08 ‐3814272 0 ‐1.91E+08 0.001548295 ‐1225.31 fv‐j= 5.1054601 < 960 (fv/Fv)= 0.005318 <
‐1.9E+08 0 6.36E+09 190713600 0 1.27E+10 15 0 190713600 6.357E+09 0 ‐190713600 1.27E+10 0 0 0 0 0 1 ‐1.9E+08 0 6.357E+09 1.91E+08 0 1.271E+10 ‐0.00106382 490124.2 fb‐j= 103.62033 < 1440 (fa/Fa)+(fb/Fb)= 0.076841 <1.9E+08 0 6.36E+09 190713600 0 1.27E+10 15 0 190713600 6.357E+09 0 190713600 1.27E+10 0 0 0 0 0 1 1.9E+08 0 6.357E+09 1.91E+08 0 1.271E+10 0.00106382 490124.2 fb j 103.62033 < 1440 (fa/Fa) (fb/Fb) 0.076841 <
lanada‐x= 0.970143 y= 17 I= 35260 4EI/L= 2.87E+09 6EI/L^2= 4.2E+07
lanada‐y= 0.242536 A= 180 EA/L= 3667139 2EI/L= 1.44E+09 12EI/L^3= 811315
13 14 15 16 17 18 5
3499149 671958.5 ‐1E+07 ‐3499149.017 ‐671959 ‐1E+07 13 3667139 0 0 ‐3667139 0 0 0.970143 0.242536 0 0 0 0 3557647 889411.8 0 ‐3557647 ‐889412 0 0.53621623 ‐1598.005 fa‐i= 8.8778033 < 1440 (fa/Fa)= 0.006165 <
671958.5 979304.5 40565744 ‐671958.5345 ‐979305 40565744 14 0 811314.8789 41814212 0 ‐811314.88 41814212 ‐0.24254 0.970143 0 0 0 0 ‐196773 787091 41814212 196772.8 ‐787091 41814212 0.001548295 ‐1339.934 fv‐i= 7.444078 < 960 (fv/Fv)= 0.007754 <
‐1E+07 40565744 2.87E+09 10141435.99 ‐4.1E+07 1.44E+09 15 0 41814211.76 2.873E+09 0 ‐41814212 1.44E+09 0 0 1 0 0 0 ‐1E+07 40565744 2.873E+09 10141436 ‐4.1E+07 1.437E+09 ‐0.00106382 ‐490124.2 fb‐i= 236.3049 < 1440 (fa/Fa)+(fb/Fb)= 0.170266 <
‐3499149 ‐671959 10141436 3499149.017 671958.5 10141436 16 ‐3667139 0 0 3667139 0 0 X 0 0 0 0.970143 0.242536 0 = ‐3557647 ‐889412 0 3557647 889411.8 0 X 0.555506921 = 1598.005 fa‐j= 8.8778033 < 1440 hw4/tw= 15 <
‐671959 ‐979305 ‐4.1E+07 671958.5345 979304.5 ‐4.1E+07 17 0 ‐811314.879 ‐41814212 0 811314.88 ‐41814212 0 0 0 ‐0.24254 0.970143 0 196772.8 ‐787091 ‐41814212 ‐196773 787091 ‐41814212 ‐0.07381777 1339.934 fv‐j= 7.444078 < 960 (fv/Fv)= 0.007754 <
‐1E+07 40565744 1.44E+09 10141435.99 ‐4.1E+07 2.87E+09 18 0 41814211.76 1.437E+09 0 ‐41814212 2.87E+09 0 0 0 0 0 1 ‐1E+07 40565744 1.437E+09 10141436 ‐4.1E+07 2.873E+09 ‐0.00047766 352006.9 fb‐j= 169.71406 < 1440 (fa/Fa)+(fb/Fb)= 0.124022 <
lanada‐x= 0.970143 y= 14.5 I= 24514.17 4EI/L= 2E+09 6EI/L^2= 2.9E+07
lanada‐y= 0.242536 A= 170 EA/L= 3463409 2EI/L= 9.99E+08 12EI/L^3= 564059
16 17 18 19 20 21 6
3292859 682200 ‐7050733 ‐3292858.721 ‐682200 ‐7050733 16 3463409 0 0 ‐3463409 0 0 0.970143 0.242536 0 0 0 0 3360000 840000 0 ‐3360000 ‐840000 0 0.555506921 ‐1598.005 fa‐i= 9.400027 < 1440 (fa/Fa)= 0.006528 <
682200 734608.7 28202933 ‐682200.0167 ‐734609 28202933 17 0 564058.6546 29070918 0 ‐564058.65 29070918 ‐0.24254 0.970143 0 0 0 0 ‐136804 547217.3 29070918 136804.3 ‐547217 29070918 ‐0.07381777 ‐1339.934 fv‐i= 7.8819649 < 960 (fv/Fv)= 0.00821 <
‐7050733 28202933 2E+09 7050733.182 ‐2.8E+07 9.99E+08 18 0 29070917.65 1.998E+09 0 ‐29070918 9.99E+08 0 0 1 0 0 0 ‐7050733 28202933 1.998E+09 7050733 ‐2.8E+07 998853867 ‐0.00047766 ‐352006.9 fb‐i= 208.21024 < 1440 (fa/Fa)+(fb/Fb)= 0.151118 <
‐3292859 ‐682200 7050733 3292858 721 682200 7050733 19 ‐3463409 0 0 3463409 0 0 X 0 0 0 0 970143 0 242536 0 = ‐3360000 ‐840000 0 3360000 840000 0 X 0 560238129 = 1598 005 fa‐j= 9 400027 < 1440 hw4/tw= 12 5 <3292859 682200 7050733 3292858.721 682200 7050733 19 3463409 0 0 3463409 0 0 X 0 0 0 0.970143 0.242536 0 = 3360000 840000 0 3360000 840000 0 X 0.560238129 = 1598.005 fa j= 9.400027 < 1440 hw4/tw 12.5 <
‐682200 ‐734609 ‐2.8E+07 682200.0167 734608.7 ‐2.8E+07 20 0 ‐564058.655 ‐29070918 0 564058.65 ‐29070918 0 0 0 ‐0.24254 0.970143 0 136804.3 ‐547217 ‐29070918 ‐136804 547217.3 ‐29070918 ‐0.09084021 1339.934 fv‐j= 7.8819649 < 960 (fv/Fv)= 0.00821 <
‐7050733 28202933 9.99E+08 7050733.182 ‐2.8E+07 2E+09 21 0 29070917.65 998853867 0 ‐29070918 2E+09 0 0 0 0 0 1 ‐7050733 28202933 998853867 7050733 ‐2.8E+07 1.998E+09 8.88835E‐05 213889.7 fb‐j= 126.51462 < 1440 (fa/Fa)+(fb/Fb)= 0.094385 <
lanada‐x= 0.970143 y= 12 I= 15893.33 4EI/L= 1.3E+09 6EI/L^2= 1.9E+07
lanada‐y= 0.242536 A= 160 EA/L= 3259679 2EI/L= 6.48E+08 12EI/L^3= 365698
19 20 21 22 23 24 7
3089445 680936.8 ‐4571220 ‐3089444.613 ‐680937 ‐4571220 19 3259679 0 0 ‐3259679 0 0 0.970143 0.242536 0 0 0 0 3162353 790588.2 0 ‐3162353 ‐790588 0 0.560238129 ‐1598.005 fa‐i= 9.9875287 < 1440 (fa/Fa)= 0.006936 <
680936.8 535931.8 18284881 ‐680936.7502 ‐535932 18284881 20 0 365697.6123 18847624 0 ‐365697.61 18847624 ‐0.24254 0.970143 0 0 0 0 ‐88694.7 354778.8 18847624 88694.7 ‐354779 18847624 ‐0.09084021 ‐1339.934 fv‐i= 8.3745877 < 960 (fv/Fv)= 0.008724 <
‐4571220 18284881 1.3E+09 4571220.153 ‐1.8E+07 6.48E+08 21 0 18847623.53 1.295E+09 0 ‐18847624 6.48E+08 0 0 1 0 0 0 ‐4571220 18284881 1.295E+09 4571220 ‐1.8E+07 647589522 8.88835E‐05 ‐213889.7 fb‐i= 161.4939 < 1440 (fa/Fa)+(fb/Fb)= 0.119084 <
‐3089445 ‐680937 4571220 3089444.613 680936.8 4571220 22 ‐3259679 0 0 3259679 0 0 X 0 0 0 0.970143 0.242536 0 = ‐3162353 ‐790588 0 3162353 790588.2 0 X 0.552011814 = 1598.005 fa‐j= 9.9875287 < 1440 hw4/tw= 10 <
‐680937 ‐535932 ‐1.8E+07 680936.7502 535931.8 ‐1.8E+07 23 0 ‐365697.612 ‐18847624 0 365697.61 ‐18847624 0 0 0 ‐0.24254 0.970143 0 88694.7 ‐354779 ‐18847624 ‐88694.7 354778.8 ‐18847624 ‐0.05591367 1339.934 fv‐j= 8.3745877 < 960 (fv/Fv)= 0.008724 <
‐4571220 18284881 6.48E+08 4571220.153 ‐1.8E+07 1.3E+09 24 0 18847623.53 647589522 0 ‐18847624 1.3E+09 0 0 0 0 0 1 ‐4571220 18284881 647589522 4571220 ‐1.8E+07 1.295E+09 0.000536176 75772.45 fb‐j= 57.210746 < 1440 (fa/Fa)+(fb/Fb)= 0.046665 <
lanada‐x= 0.970143 y= 12 I= 15893.33 4EI/L= 1.3E+09 6EI/L^2= 1.9E+07
>> IN THE NAME OF GOD <<
Steel Frame Optimization with EXCEL solver
This Program is written by Salar Delavar Ghashghaei - 2/February/2017
Email: salar.d.ghashghaei@gmail.com

2. lanada‐y= 0.242536 A= 160 EA/L= 3259679 2EI/L= 6.48E+08 12EI/L^3= 365698
22 23 24 25 26 27 8
3089445 680936.8 ‐4571220 ‐3089444.613 ‐680937 ‐4571220 22 3259679 0 0 ‐3259679 0 0 0.970143 0.242536 0 0 0 0 3162353 790588.2 0 ‐3162353 ‐790588 0 0.552011814 ‐1598.005 fa‐i= 9.9875287 < 1440 (fa/Fa)= 0.006936 <
680936.8 535931.8 18284881 ‐680936.7502 ‐535932 18284881 23 0 365697.6123 18847624 0 ‐365697.61 18847624 ‐0.24254 0.970143 0 0 0 0 ‐88694.7 354778.8 18847624 88694.7 ‐354779 18847624 ‐0.05591367 ‐1339.934 fv‐i= 8.3745877 < 960 (fv/Fv)= 0.008724 <680936.8 535931.8 18284881 680936.7502 535932 18284881 23 0 365697.6123 18847624 0 365697.61 18847624 0.24254 0.970143 0 0 0 0 88694.7 354778.8 18847624 88694.7 354779 18847624 0.05591367 1339.934 fv i 8.3745877 < 960 ( / ) 0.008724 <
‐4571220 18284881 1.3E+09 4571220.153 ‐1.8E+07 6.48E+08 24 0 18847623.53 1.295E+09 0 ‐18847624 6.48E+08 0 0 1 0 0 0 ‐4571220 18284881 1.295E+09 4571220 ‐1.8E+07 647589522 0.000536176 ‐75772.45 fb‐i= 57.210746 < 1440 (fa/Fa)+(fb/Fb)= 0.046665 <
‐3089445 ‐680937 4571220 3089444.613 680936.8 4571220 25 ‐3259679 0 0 3259679 0 0 X 0 0 0 0.970143 0.242536 0 = ‐3162353 ‐790588 0 3162353 790588.2 0 X 0.537935154 = 1598.005 fa‐j= 9.9875287 < 1440 hw4/tw= 10 <
‐680937 ‐535932 ‐1.8E+07 680936.7502 535931.8 ‐1.8E+07 26 0 ‐365697.612 ‐18847624 0 365697.61 ‐18847624 0 0 0 ‐0.24254 0.970143 0 88694.7 ‐354779 ‐18847624 ‐88694.7 354778.8 ‐18847624 0.002414256 1339.934 fv‐j= 8.3745877 < 960 (fv/Fv)= 0.008724 <
‐4571220 18284881 6.48E+08 4571220.153 ‐1.8E+07 1.3E+09 27 0 18847623.53 647589522 0 ‐18847624 1.3E+09 0 0 0 0 0 1 ‐4571220 18284881 647589522 4571220 ‐1.8E+07 1.295E+09 0.000556911 ‐62344.78 fb‐j= 47.072405 < 1440 (fa/Fa)+(fb/Fb)= 0.039625 <
lanada‐x= 0.970143 y= 32 I= 151360 4EI/L= 1.23E+10 6EI/L^2= 1.8E+08
lanada‐y= ‐0.24254 A= 240 EA/L= 4889518 2EI/L= 6.17E+09 12EI/L^3= 3482718
25 26 27 28 29 30 9
4806765 ‐331012 43533969 ‐4806765.22 331011.9 43533969 25 4889518 0 0 ‐4889518 0 0 0.970143 ‐0.24254 0 0 0 0 4743529 ‐1185882 0 ‐4743529 1185882 0 0.537935154 1585.275 fa‐i= 6.6053145 < 1440 (fa/Fa)= 0.004587 <
‐331012 3565471 1.74E+08 331011.9228 ‐3565471 1.74E+08 26 0 3482717.529 179495153 0 ‐3482717.5 1.79E+08 0.242536 0.970143 0 0 0 0 844683.1 3378732 179495153 ‐844683 ‐3378732 179495153 0.002414256 ‐1085.422 fv‐i= 4.5225926 < 960 (fv/Fv)= 0.004711 <
43533969 1.74E+08 1.23E+10 ‐43533969.11 ‐1.7E+08 6.17E+09 27 0 179495152.9 1.233E+10 0 ‐179495153 6.17E+09 0 0 1 0 0 0 43533969 1.74E+08 1.233E+10 ‐4.4E+07 ‐1.7E+08 6.167E+09 0.000556911 62344.78 fb‐i= 13.180716 < 1440 (fa/Fa)+(fb/Fb)= 0.01374 <
‐4806765 331011.9 ‐4.4E+07 4806765.22 ‐331012 ‐4.4E+07 28 ‐4889518 0 0 4889518 0 0 X 0 0 0 0.970143 ‐0.24254 0 = ‐4743529 1185882 0 4743529 ‐1185882 0 X 0.551139495 = ‐1585.275 fa‐j= 6.6053145 < 1440 hw4/tw= 30 <
331011.9 ‐3565471 ‐1.7E+08 ‐331011.9228 3565471 ‐1.7E+08 29 0 ‐3482717.53 ‐1.79E+08 0 3482717.5 ‐1.79E+08 0 0 0 0.242536 0.970143 0 ‐844683 ‐3378732 ‐1.79E+08 844683.1 3378732 ‐1.79E+08 0.056568412 1085.422 fv‐j= 4.5225926 < 960 (fv/Fv)= 0.004711 <
43533969 1.74E+08 6.17E+09 ‐43533969.11 ‐1.7E+08 1.23E+10 30 0 179495152.9 6.167E+09 0 ‐179495153 1.23E+10 0 0 0 0 0 1 43533969 1.74E+08 6.167E+09 ‐4.4E+07 ‐1.7E+08 1.233E+10 0.000518552 ‐174227.5 fb‐j= 36.834576 < 1440 (fa/Fa)+(fb/Fb)= 0.030167 <
lanada‐x= 0.970143 y= 14.5 I= 24514.17 4EI/L= 2E+09 6EI/L^2= 2.9E+07
lanada‐y= ‐0.24254 A= 170 EA/L= 3463409 2EI/L= 9.99E+08 12EI/L^3= 564059
28 29 30 31 32 33 1028 29 30 31 32 33 10
3292859 ‐682200 7050733 ‐3292858.721 682200 7050733 28 3463409 0 0 ‐3463409 0 0 0.970143 ‐0.24254 0 0 0 0 3360000 ‐840000 0 ‐3360000 840000 0 0.551139495 1585.275 fa‐i= 9.3251499 < 1440 (fa/Fa)= 0.006476 <
‐682200 734608.7 28202933 682200.0167 ‐734609 28202933 29 0 564058.6546 29070918 0 ‐564058.65 29070918 0.242536 0.970143 0 0 0 0 136804.3 547217.3 29070918 ‐136804 ‐547217 29070918 0.056568412 ‐1085.422 fv‐i= 6.3848365 < 960 (fv/Fv)= 0.006651 <
7050733 28202933 2E+09 ‐7050733.182 ‐2.8E+07 9.99E+08 30 0 29070917.65 1.998E+09 0 ‐29070918 9.99E+08 0 0 1 0 0 0 7050733 28202933 1.998E+09 ‐7050733 ‐2.8E+07 998853867 0.000518552 174227.5 fb‐i= 103.05467 < 1440 (fa/Fa)+(fb/Fb)= 0.078042 <
‐3292859 682200 ‐7050733 3292858.721 ‐682200 ‐7050733 31 ‐3463409 0 0 3463409 0 0 X 0 0 0 0.970143 ‐0.24254 0 = ‐3360000 840000 0 3360000 ‐840000 0 X 0.558365131 = ‐1585.275 fa‐j= 9.3251499 < 1440 hw4/tw= 12.5 <
682200 ‐734609 ‐2.8E+07 ‐682200.0167 734608.7 ‐2.8E+07 32 0 ‐564058.655 ‐29070918 0 564058.65 ‐29070918 0 0 0 0.242536 0.970143 0 ‐136804 ‐547217 ‐29070918 136804.3 547217.3 ‐29070918 0.087358188 1085.422 fv‐j= 6.3848365 < 960 (fv/Fv)= 0.006651 <
7050733 28202933 9.99E+08 ‐7050733.182 ‐2.8E+07 2E+09 33 0 29070917.65 998853867 0 ‐29070918 2E+09 0 0 0 0 0 1 7050733 28202933 998853867 ‐7050733 ‐2.8E+07 1.998E+09 5.76861E‐05 ‐286110.3 fb‐j= 169.23273 < 1440 (fa/Fa)+(fb/Fb)= 0.123999 <
lanada‐x= 0.970143 y= 17 I= 35260 4EI/L= 2.87E+09 6EI/L^2= 4.2E+07
lanada‐y= ‐0.24254 A= 180 EA/L= 3667139 2EI/L= 1.44E+09 12EI/L^3= 811315
31 32 33 34 35 36 11
3499149 ‐671959 10141436 ‐3499149.017 671958.5 10141436 31 3667139 0 0 ‐3667139 0 0 0.970143 ‐0.24254 0 0 0 0 3557647 ‐889412 0 ‐3557647 889411.8 0 0.558365131 1585.275 fa‐i= 8.807086 < 1440 (fa/Fa)= 0.006116 <
‐671959 979304.5 40565744 671958.5345 ‐979305 40565744 32 0 811314.8789 41814212 0 ‐811314.88 41814212 0.242536 0.970143 0 0 0 0 196772.8 787091 41814212 ‐196773 ‐787091 41814212 0.087358188 ‐1085.422 fv‐i= 6.0301234 < 960 (fv/Fv)= 0.006281 <
10141436 40565744 2.87E+09 ‐10141435.99 ‐4.1E+07 1.44E+09 33 0 41814211.76 2.873E+09 0 ‐41814212 1.44E+09 0 0 1 0 0 0 10141436 40565744 2.873E+09 ‐1E+07 ‐4.1E+07 1.437E+09 5.76861E‐05 286110.3 fb‐i= 137.94314 < 1440 (fa/Fa)+(fb/Fb)= 0.10191 <
‐3499149 671958.5 ‐1E+07 3499149.017 ‐671959 ‐1E+07 34 ‐3667139 0 0 3667139 0 0 X 0 0 0 0.970143 ‐0.24254 0 = ‐3557647 889411.8 0 3557647 ‐889412 0 X 0.553760353 = ‐1585.275 fa‐j= 8.807086 < 1440 hw4/tw= 15 <
671958.5 ‐979305 ‐4.1E+07 ‐671958.5345 979304.5 ‐4.1E+07 35 0 ‐811314.879 ‐41814212 0 811314.88 ‐41814212 0 0 0 0.242536 0.970143 0 ‐196773 ‐787091 ‐41814212 196772.8 787091 ‐41814212 0.07072146 1085.422 fv‐j= 6.0301234 < 960 (fv/Fv)= 0.006281 <
10141436 40565744 1.44E+09 ‐10141435.99 ‐4.1E+07 2.87E+09 36 0 41814211.76 1.437E+09 0 ‐41814212 2.87E+09 0 0 0 0 0 1 10141436 40565744 1.437E+09 ‐1E+07 ‐4.1E+07 2.873E+09 ‐0.00041848 ‐397993.1 fb‐j= 191.88548 < 1440 (fa/Fa)+(fb/Fb)= 0.13937 <
lanada x= 0 970143 y= 17 I= 35260 4EI/L= 2 87E+09 6EI/L^2= 4 2E+07lanada‐x= 0.970143 y= 17 I= 35260 4EI/L= 2.87E+09 6EI/L^2= 4.2E+07
lanada‐y= ‐0.24254 A= 180 EA/L= 3667139 2EI/L= 1.44E+09 12EI/L^3= 811315
34 35 36 37 38 39 12
3499149 ‐671959 10141436 ‐3499149.017 671958.5 10141436 34 3667139 0 0 ‐3667139 0 0 0.970143 ‐0.24254 0 0 0 0 3557647 ‐889412 0 ‐3557647 889411.8 0 0.553760353 1585.275 fa‐i= 8.807086 < 1440 (fa/Fa)= 0.006116 <
‐671959 979304.5 40565744 671958.5345 ‐979305 40565744 35 0 811314.8789 41814212 0 ‐811314.88 41814212 0.242536 0.970143 0 0 0 0 196772.8 787091 41814212 ‐196773 ‐787091 41814212 0.07072146 ‐1085.422 fv‐i= 6.0301234 < 960 (fv/Fv)= 0.006281 <
10141436 40565744 2.87E+09 ‐10141435.99 ‐4.1E+07 1.44E+09 36 0 41814211.76 2.873E+09 0 ‐41814212 1.44E+09 0 0 1 0 0 0 10141436 40565744 2.873E+09 ‐1E+07 ‐4.1E+07 1.437E+09 ‐0.00041848 397993.1 fb‐i= 191.88548 < 1440 (fa/Fa)+(fb/Fb)= 0.13937 <
‐3499149 671958.5 ‐1E+07 3499149.017 ‐671959 ‐1E+07 37 ‐3667139 0 0 3667139 0 0 X 0 0 0 0.970143 ‐0.24254 0 = ‐3557647 889411.8 0 3557647 ‐889412 0 X 0.535304661 = ‐1585.275 fa‐j= 8.807086 < 1440 hw4/tw= 15 <
671958.5 ‐979305 ‐4.1E+07 ‐671958.5345 979304.5 ‐4.1E+07 38 0 ‐811314.879 ‐41814212 0 811314.88 ‐41814212 0 0 0 0.242536 0.970143 0 ‐196773 ‐787091 ‐41814212 196772.8 787091 ‐41814212 ‐0.00131892 1085.422 fv‐j= 6.0301234 < 960 (fv/Fv)= 0.006281 <
10141436 40565744 1.44E+09 ‐10141435.99 ‐4.1E+07 2.87E+09 39 0 41814211.76 1.437E+09 0 ‐41814212 2.87E+09 0 0 0 0 0 1 10141436 40565744 1.437E+09 ‐1E+07 ‐4.1E+07 2.873E+09 ‐0.00105039 ‐509875.8 fb‐j= 245.82782 < 1440 (fa/Fa)+(fb/Fb)= 0.17683 <
lanada‐x= 0 y= 32 I= 151360 4EI/L= 1.27E+10 6EI/L^2= 1.9E+08
lanada‐y= ‐1 A= 240 EA/L= 5040000 2EI/L= 6.36E+09 12EI/L^3= 3814272
37 38 39 40 41 42 13
3814272 0 1.91E+08 ‐3814272 0 1.91E+08 37 5040000 0 0 ‐5040000 0 0 0 ‐1 0 0 0 0 0 ‐5040000 0 0 5040000 0 0.535304661 1437.5 fa‐i= 5.9895833 < 1440 (fa/Fa)= 0.004159 <
0 5040000 0 0 ‐5040000 0 38 0 3814272 190713600 0 ‐3814272 1.91E+08 1 0 0 0 0 0 3814272 0 190713600 ‐3814272 0 190713600 ‐0.00131892 1274.69 fv‐i= 5.3112065 < 960 (fv/Fv)= 0.005533 <
1.91E+08 0 1.27E+10 ‐190713600 0 6.36E+09 39 0 190713600 1.271E+10 0 ‐190713600 6.36E+09 0 0 1 0 0 0 1.91E+08 0 1.271E+10 ‐1.9E+08 0 6.357E+09 ‐0.00105039 509875.8 fb‐i= 107.79616 < 1440 (fa/Fa)+(fb/Fb)= 0.079018 <
‐3814272 0 ‐1.9E+08 3814272 0 ‐1.9E+08 40 ‐5040000 0 0 5040000 0 0 X 0 0 0 0 ‐1 0 = 0 5040000 0 0 ‐5040000 0 X 0.422913801 = ‐1437.5 fa‐j= 5.9895833 < 1440 hw4/tw= 30 <
0 5040000 0 0 5040000 0 41 0 3814272 1 91E+08 0 3814272 1 91E+08 0 0 0 1 0 0 3814272 0 1 91E+08 3814272 0 1 91E+08 0 0010337 1274 69 fv j 5 3112065 < 960 (fv/Fv)= 0 005533 <0 ‐5040000 0 0 5040000 0 41 0 ‐3814272 ‐1.91E+08 0 3814272 ‐1.91E+08 0 0 0 1 0 0 ‐3814272 0 ‐1.91E+08 3814272 0 ‐1.91E+08 ‐0.0010337 ‐1274.69 fv‐j= 5.3112065 < 960 (fv/Fv)= 0.005533 <
1.91E+08 0 6.36E+09 ‐190713600 0 1.27E+10 42 0 190713600 6.357E+09 0 ‐190713600 1.27E+10 0 0 0 0 0 1 1.91E+08 0 6.357E+09 ‐1.9E+08 0 1.271E+10 ‐0.00119075 ‐382406.9 fb‐j= 80.847119 < 1440 (fa/Fa)+(fb/Fb)= 0.060303 <
lanada‐x= 0 y= 27 I= 101993.3 4EI/L= 8.57E+09 6EI/L^2= 1.3E+08
lanada‐y= ‐1 A= 220 EA/L= 4620000 2EI/L= 4.28E+09 12EI/L^3= 2570232
40 41 42 43 44 45 14
2570232 0 1.29E+08 ‐2570232 0 1.29E+08 40 4620000 0 0 ‐4620000 0 0 0 ‐1 0 0 0 0 0 ‐4620000 0 0 4620000 0 0.422913801 1437.5 fa‐i= 6.5340909 < 1440 (fa/Fa)= 0.004538 <
0 4620000 0 0 ‐4620000 0 41 0 2570232 128511600 0 ‐2570232 1.29E+08 1 0 0 0 0 0 2570232 0 128511600 ‐2570232 0 128511600 ‐0.0010337 1274.69 fv‐i= 5.7940435 < 960 (fv/Fv)= 0.006035 <
1.29E+08 0 8.57E+09 ‐128511600 0 4.28E+09 42 0 128511600 8.567E+09 0 ‐128511600 4.28E+09 0 0 1 0 0 0 1.29E+08 0 8.567E+09 ‐1.3E+08 0 4.284E+09 ‐0.00119075 382406.9 fb‐i= 101.23196 < 1440 (fa/Fa)+(fb/Fb)= 0.074838 <
‐2570232 0 ‐1.3E+08 2570232 0 ‐1.3E+08 43 ‐4620000 0 0 4620000 0 0 X 0 0 0 0 ‐1 0 = 0 4620000 0 0 ‐4620000 0 X 0.295904057 = ‐1437.5 fa‐j= 6.5340909 < 1440 hw4/tw= 25 <
0 ‐4620000 0 0 4620000 0 44 0 ‐2570232 ‐1.29E+08 0 2570232 ‐1.29E+08 0 0 0 1 0 0 ‐2570232 0 ‐1.29E+08 2570232 0 ‐1.29E+08 ‐0.00072255 ‐1274.69 fv‐j= 5.7940435 < 960 (fv/Fv)= 0.006035 <
1.29E+08 0 4.28E+09 ‐128511600 0 8.57E+09 45 0 128511600 4.284E+09 0 ‐128511600 8.57E+09 0 0 0 0 0 1 1.29E+08 0 4.284E+09 ‐1.3E+08 0 8.567E+09 ‐0.00133953 ‐254937.9 fb‐j= 67.487976 < 1440 (fa/Fa)+(fb/Fb)= 0.051404 <
lanada‐x= 0 y= 22 I= 63626.67 4EI/L= 5.34E+09 6EI/L^2= 8E+07
lanada‐y= ‐1 A= 200 EA/L= 4200000 2EI/L= 2.67E+09 12EI/L^3= 1603392
43 44 45 46 47 48 15
1603392 0 80169600 ‐1603392 0 80169600 43 4200000 0 0 ‐4200000 0 0 0 ‐1 0 0 0 0 0 ‐4200000 0 0 4200000 0 0.295904057 1437.5 fa‐i= 7.1875 < 1440 (fa/Fa)= 0.004991 <
0 4200000 0 0 ‐4200000 0 44 0 1603392 80169600 0 ‐1603392 80169600 1 0 0 0 0 0 1603392 0 80169600 ‐1603392 0 80169600 ‐0.00072255 1274.69 fv‐i= 6.3734478 < 960 (fv/Fv)= 0.006639 <
80169600 0 5 34E+09 80169600 0 2 67E+09 45 0 80169600 5 345E+09 0 80169600 2 67E+09 0 0 1 0 0 0 80169600 0 5 345E+09 8E+07 0 2 672E+09 0 00133953 254937 9 fb i 88 149111 < 1440 (fa/Fa)+(fb/Fb)= 0 066206 <80169600 0 5.34E+09 ‐80169600 0 2.67E+09 45 0 80169600 5.345E+09 0 ‐80169600 2.67E+09 0 0 1 0 0 0 80169600 0 5.345E+09 ‐8E+07 0 2.672E+09 ‐0.00133953 254937.9 fb‐i= 88.149111 < 1440 (fa/Fa)+(fb/Fb)= 0.066206 <
‐1603392 0 ‐8E+07 1603392 0 ‐8E+07 46 ‐4200000 0 0 4200000 0 0 X 0 0 0 0 ‐1 0 = 0 4200000 0 0 ‐4200000 0 X 0.15400115 = ‐1437.5 fa‐j= 7.1875 < 1440 hw4/tw= 20 <
0 ‐4200000 0 0 4200000 0 47 0 ‐1603392 ‐80169600 0 1603392 ‐80169600 0 0 0 1 0 0 ‐1603392 0 ‐80169600 1603392 0 ‐80169600 ‐0.00038029 ‐1274.69 fv‐j= 6.3734478 < 960 (fv/Fv)= 0.006639 <
80169600 0 2.67E+09 ‐80169600 0 5.34E+09 48 0 80169600 2.672E+09 0 ‐80169600 5.34E+09 0 0 0 0 0 1 80169600 0 2.672E+09 ‐8E+07 0 5.345E+09 ‐0.00148263 ‐127469 fb‐j= 44.074556 < 1440 (fa/Fa)+(fb/Fb)= 0.035599 <
lanada‐x= 0 y= 17 I= 35260 4EI/L= 2.96E+09 6EI/L^2= 4.4E+07
lanada‐y= ‐1 A= 180 EA/L= 3780000 2EI/L= 1.48E+09 12EI/L^3= 888552
46 47 48 49 50 51 16
888552 0 44427600 ‐888552 0 44427600 46 3780000 0 0 ‐3780000 0 0 0 ‐1 0 0 0 0 0 ‐3780000 0 0 3780000 0 0.15400115 1437.5 fa‐i= 7.9861111 < 1440 (fa/Fa)= 0.005546 <
0 3780000 0 0 ‐3780000 0 47 0 888552 44427600 0 ‐888552 44427600 1 0 0 0 0 0 888552 0 44427600 ‐888552 0 44427600 ‐0.00038029 1274.69 fv‐i= 7.0816087 < 960 (fv/Fv)= 0.007377 <
44427600 0 2.96E+09 ‐44427600 0 1.48E+09 48 0 44427600 2.962E+09 0 ‐44427600 1.48E+09 0 0 1 0 0 0 44427600 0 2.962E+09 ‐4.4E+07 0 1.481E+09 ‐0.00148263 127469 fb‐i= 61.456956 < 1440 (fa/Fa)+(fb/Fb)= 0.048224 <
‐888552 0 ‐4.4E+07 888552 0 ‐4.4E+07 49 ‐3780000 0 0 3780000 0 0 X 0 0 0 0 ‐1 0 = 0 3780000 0 0 ‐3780000 0 X 0 = ‐1437.5 fa‐j= 7.9861111 < 1440 hw4/tw= 15 <
0 ‐3780000 0 0 3780000 0 50 0 ‐888552 ‐44427600 0 888552 ‐44427600 0 0 0 1 0 0 ‐888552 0 ‐44427600 888552 0 ‐44427600 0 ‐1274.69 fv‐j= 7.0816087 < 960 (fv/Fv)= 0.007377 <
44427600 0 1.48E+09 ‐44427600 0 2.96E+09 51 0 44427600 1.481E+09 0 ‐44427600 2.96E+09 0 0 0 0 0 1 44427600 0 1.481E+09 ‐4.4E+07 0 2.962E+09 ‐0.0015687 0 fb‐j= 8.98E‐13 < 1440 (fa/Fa)+(fb/Fb)= 0.005546 <
1 2 49 50 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40
1 888552 0 0 0 ‐4.4E+07 ‐888552 0 ‐4.4E+07 0 0 0 0 0 0 0 0 0 0 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 0 3780000 0 0 0 0 3780000 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 02 0 3780000 0 0 0 0 ‐3780000 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
49 0 0 888552 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 3780000 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 ‐4.4E+07 0 0 0 2.96E+09 44427600 0 1.48E+09 0 0 0 0 0 0 0 0 0 0 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 ‐888552 0 0 0 44427600 2491944 0 ‐3.6E+07 ‐1603392 0 ‐80169600 0 0 0 0 0 0 0 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 0 ‐3780000 0 0 0 0 7980000 0 0 ‐4200000 0 0 0 0 0 0 0 0 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 ‐4.4E+07 0 0 0 1.48E+09 ‐3.6E+07 0 8.31E+09 8E+07 0 2.67E+09 0 0 0 0 0 0 0 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 0 0 0 0 0 ‐1603392 0 80169600 4173624 0 ‐48342000 ‐2570232 0 ‐1.3E+08 0 0 0 0 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 0 0 0 0 0 0 ‐4200000 0 0 8820000 0 0 ‐4620000 0 0 0 0 0 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 0 0 0 0 0 ‐8E+07 0 2.67E+09 ‐4.8E+07 0 1.39E+10 128511600 0 4.28E+09 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
10 0 0 0 0 0 0 0 0 ‐2570232 0 1.29E+08 6384504 0 ‐6.2E+07 ‐3814272 0 #### 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
11 0 0 0 0 0 0 0 0 0 ‐4620000 0 0 9660000 0 0 ‐5040000 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
12 0 0 0 0 0 0 0 0 ‐1.3E+08 0 4.28E+09 ‐62202000 0 2.13E+10 190713600 0 #### 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
13 0 0 0 0 0 0 0 0 0 0 0 ‐3814272 0 1.91E+08 7313421 671958.5 #### ‐3499149 ‐671959 ‐1E+07 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
14 0 0 0 0 0 0 0 0 0 0 0 0 ‐5040000 0 671958.53 6019305 #### ‐671959 ‐979305 40565744 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
15 0 0 0 0 0 0 0 0 0 0 0 ‐190713600 0 6.36E+09 180572164 40565744 #### 10141436 ‐4.1E+07 1.44E+09 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
16 0 0 0 0 0 0 0 0 0 0 0 0 0 0 ‐3499149 ‐671958.5 #### 6792008 1354159 3090703 ‐3292859 ‐682200 ‐7050733 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
17 0 0 0 0 0 0 0 0 0 0 0 0 0 0 ‐671958.53 ‐979304.5 #### 1354159 1713913 ‐1.2E+07 ‐682200 ‐734609 28202933 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
18 0 0 0 0 0 0 0 0 0 0 0 0 0 0 ‐10141436 40565744 #### 3090703 ‐1.2E+07 4.87E+09 7050733 ‐2.8E+07 9.99E+08 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
19 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 ‐3292859 ‐682200 7050733 6382303 1363137 2479513 ‐3089445 ‐680937 ‐4571220 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
20 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 ‐682200 ‐734609 ‐2.8E+07 1363137 1270540 ‐9918052 ‐680937 ‐535932 18284881 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
21 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 ‐7050733 28202933 9.99E+08 2479513 ‐9918052 3.29E+09 4571220 ‐1.8E+07 6.48E+08 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
22 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 ‐3089445 ‐680937 4571220 6178889 1361874 0 ‐3089445 ‐680937 ‐4571220 0 0 0 0 0 0 0 0 0 0 0 0 0
23 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 ‐680937 ‐535932 ‐1.8E+07 1361874 1071864 0 ‐680936.8 ‐535932 18284881 0 0 0 0 0 0 0 0 0 0 0 0 0
24 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 ‐4571220 18284881 6.48E+08 0 0 2.59E+09 4571220.2 ‐1.8E+07 6.48E+08 0 0 0 0 0 0 0 0 0 0 0 0 0
25 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 ‐3089445 ‐680937 4571220 7896209.8 349924.8 48105189 ‐4806765 331011.9 43533969.11 0 0 0 0 0 0 0 0 0 0
26 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 ‐680937 ‐535932 ‐1.8E+07 349924.83 4101402 1.56E+08 331011.92 ‐3565471 174135876.4 0 0 0 0 0 0 0 0 0 0
27 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 ‐4571220 18284881 6.48E+08 48105189 1.56E+08 1.36E+10 ‐43533969 ‐1.7E+08 6167312291 0 0 0 0 0 0 0 0 0 0
28 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 ‐4806765 331011.9 ‐4.4E+07 8099623.9 ‐1013212 ‐36483235.9 ‐3292859 682200 7050733.18 0 0 0 0 0 0 0
29 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 331011.92 ‐3565471 ‐1.7E+08 ‐1013212 4300079 ‐145932944 682200 ‐734608.7 28202932.7 0 0 0 0 0 0 0
>> IN THE NAME OF GOD <<
Steel Frame Optimization with EXCEL solver
This Program is written by Salar Delavar Ghashghaei - 2/February/2017
Email: salar.d.ghashghaei@gmail.com

3. 30 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 43533969 1.74E+08 6.17E+09 ‐36483236 ‐1.5E+08 14332332316 ‐7050733 ‐28202933 998853867 0 0 0 0 0 0 0
31 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 ‐3292859 682200 ‐7050733.18 6792008 ‐1354159 3090702.8 ‐3499149 671958.53 10141436 0 0 0 0
32 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 682200.02 ‐734609 ‐28202932.7 ‐1354159 1713913 12362811.2 671958.5 ‐979304.5 40565744 0 0 0 0
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 7050733.2 28202933 998853867.4 3090703 12362811 4871114598 ‐1E+07 ‐40565744 1.44E+09 0 0 0 0
34 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 ‐3499149 671958.5 ‐10141436 6998298 ‐1343917 0 ‐3499149 671958.5345 10141436 0
35 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 671958.5 ‐979304.5 ‐40565744 ‐1343917 1958609 0 671958.5 ‐979304.5125 40565744 0
36 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 10141436 40565744 1436703431 0 0 5.75E+09 ‐1E+07 ‐40565743.94 1.44E+09 0
37 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 ‐3499149 671958.53 ‐1E+07 7313421 ‐671958.5345 1.81E+08 ‐3814272
38 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 671958.5 ‐979304.5 ‐4.1E+07 ‐671959 6019304.512 ‐4.1E+07 0
39 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 10141436 40565744 1.44E+09 1.81E+08 ‐40565743.94 1.56E+10 ‐1.9E+08
40 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 ‐3814272 0 ‐1.9E+08 6384504
41 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 ‐5040000 0 0
42 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.91E+08 0 6.36E+09 ‐6.2E+07
43 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 ‐2570232
44 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
45 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.29E+08
46 0 0 ‐888552 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
47 0 0 0 ‐3780000 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
48 0 0 ‐44427600 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
51 0 0 ‐44427600 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
‐9.3E‐10
‐2.9E‐11
4.55E‐13
1.86E‐09
1.46E‐10
‐9.1E‐13
5.59E‐09
2.62E‐10
Constant
ΣF3=0
ΣF5=0
ΣF4=0
ΣF6=0
ΣF7=0
ΣF8=0
ΣF9=0
ΣF10=0
0
‐1.5E‐08
‐5.7E‐11
‐3.3E‐11
3.38E‐09
1.51E‐10
‐6.4E‐11
2.91E‐11
1.42E‐10
6.73E‐11
‐1E‐09
4.05E‐11
‐5.6E‐11
‐7.6E‐10
‐1.2E‐09
0
ΣF17=0
ΣF11=0
ΣF12=0
ΣF25=0
ΣF26=0
ΣF13=0
ΣF14=0
ΣF15=0
ΣF16=0
ΣF18=0
ΣF19=0
ΣF20=0
ΣF21=0
ΣF22=0
ΣF23=0
ΣF24=0
‐7.5E‐09
1.68E‐09
1.59E‐11
‐6.4E‐09
‐1.5E‐10
5.82E‐11
9.31E‐10
5.28E‐11
‐2.9E‐11
‐7E‐10
4.66E‐10
‐2.4E‐11
3.73E‐08
‐5.5E‐10
4.55E‐13
2.79E‐09
ΣF27=0
ΣF28=0
ΣF39=0
ΣF40=0
ΣF29=0
ΣF33=0
ΣF34=0
ΣF35=0
ΣF36=0
ΣF37=0
ΣF38=0
ΣF42=0
ΣF41=0
ΣF30=0
ΣF31=0
ΣF32=0
.79 09
1.6E‐10
4.55E‐13
0
‐7.3E‐11
4.55E‐13
2.33E‐09
‐1.9E‐09ΣF51=0
ΣF43=0
ΣF44=0
ΣF45=0
ΣF46=0
ΣF47=0
ΣF48=1
>> IN THE NAME OF GOD <<
Steel Frame Optimization with EXCEL solver
This Program is written by Salar Delavar Ghashghaei - 2/February/2017
Email: salar.d.ghashghaei@gmail.com