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The document provides calculations for determining the ultimate and allowable bearing capacities of square and rectangular footings using Meyerhof's bearing capacity method. For a square footing with a unit weight of 19 kN/m3, internal friction angle of 18 degrees, cohesion of 20 kPa, and other specified parameters, the ultimate bearing capacity is calculated as 863 kPa and the allowable bearing capacity is 287 kPa. For a rectangular footing, the ultimate capacity is calculated as 773 kPa and allowable capacity is 257 kPa. The document also provides calculations for various load cases involving dead, live, and surcharge loads applied to the footings.
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Shealtiel Regine Cinco-AyalaCopyright
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0 ratings0% found this document useful (0 votes)
148 views44 pagesTabs and Pics
The document provides calculations for determining the ultimate and allowable bearing capacities of square and rectangular footings using Meyerhof's bearing capacity method. For a square footing with a unit weight of 19 kN/m3, internal friction angle of 18 degrees, cohesion of 20 kPa, and other specified parameters, the ultimate bearing capacity is calculated as 863 kPa and the allowable bearing capacity is 287 kPa. For a rectangular footing, the ultimate capacity is calculated as 773 kPa and allowable capacity is 257 kPa. The document also provides calculations for various load cases involving dead, live, and surcharge loads applied to the footings.
Uploaded by
Shealtiel Regine Cinco-AyalaCopyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as XLSX, PDF, TXT or read online on Scribd
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SOIL PROPERTIES
USING MEYERHOF'S BEARING CAPACITY
SQUARE FOOTING
GIVEN:
UNIT WEIGHT OF SOIL (ϒ) = 19 NC = 13.1
ANGLE OF INTERNAL FRICTION (ø) = 18 NQ = 5.26
COHESION OF SOIL (C) = 20 Nϒ = 4.07
DEPTH OF FOOTING (Df) = 2
BASE OF FOOTING (B) = 2.5
LENGTH OF FOOTING (L) = 2.5
SOIL SURCHARGE (q) = 38
FACTOR OF SAFETY (F.S.) = 3
SHAPE: INCLINATION:
SC= 1 + (B/L) ( NQ/NC) = 1.402
SQ= 1 + (B/L) tan ø = 1.325 ίC = 1
Sϒ= 1-0.4 (B/L) = 0.6 ίQ = 1
ίϒ = 1
DEPTH:
FOR: (DF/B) <1 ; ø>0
DQ= 1 + 2 tan ø (1-sin ø)^2(DF/B) = 1.248
DC= DQ - ((1-DQ)/NC tan ø) = 1.292
Dϒ= 1
FOR ULTIMATE BEARING CAPACITY (qu) :
qU = c NC SC DC ίC + q NQ SQ DQ ίQ + 0.5 ϒ B Nϒ Sϒ Dϒ ίϒ
qU = 863.102 kPa
FOR ALLOWABLE BEARING CAPACITY (q a) :
qa = qU / F.S. 287.7007 kPa
SOIL PROPERTIES
USING MEYERHOF'S BEARING CAPACITY
RECTANGULAR FOOTING
GIVEN:
UNIT WEIGHT OF SOIL (ϒ) = 19 NC = 13.1
ANGLE OF INTERNAL FRICTION (ø) = 18 NQ = 5.26
COHESION OF SOIL (C) = 20 Nϒ = 4.07
DEPTH OF FOOTING (Df) = 2
BASE OF FOOTING (B) = 2.5
LENGTH OF FOOTING(L) ; (L=2B) = 5
SOIL SURCHARGE (q) = 38
FACTOR OF SAFETY (F.S.) = 3
SHAPE: INCLINATION:
SC= 1 + (B/L) ( NQ/NC) = 1.201
SQ= 1 + (B/L) tan ø = 1.162 ίC = 1
Sϒ= 1-0.4 (B/L) = 0.8 ίQ = 1
ίϒ = 1
DEPTH:
FOR: (DF/B) <1 ; ø>0
DQ= 1 + 2 tan ø (1-sin ø)^2(DF/B) = 1.248
DC= DQ - ((1-DQ)/NC tan ø) = 1.292
Dϒ= 1
FOR ULTIMATE BEARING CAPACITY (qu) :
qU = c NC SC DC ίC + q NQ SQ DQ ίQ + 0.5 ϒ B Nϒ Sϒ Dϒ ίϒ
qU = 773.734 kPa
FOR ALLOWABLE BEARING CAPACITY (q a) :
qa = qU / F.S. 257.9113 kPa
SUMMARY OF
SQUARE FOOTING
NODE LOAD CASE FX FY FZ MX MY MZ B L BXL
2 12 1.4DL 4.394 431.76 6.433 8.987 -0.092 -5.107 0.8 0.8 0.64
13 1.2 DL + 1.6 LL 5.678 512.537 7.982 10.763 -0.091 -6.05 0.86 0.86 0.7396
14 1.2 DL + 1.6 LL CHECKERED 1 2.753 417.485 5.258 7.561 -0.084 -2.971 0.77 0.77 0.5929
15 1.2 DL + 1.6 LL CHECKERED 2 6.665 441.827 8.192 10.861 -0.085 -7.409 0.82 0.82 0.6724
16 1.2 DL + 1.6 LL CHECKERED 3 6.112 441.023 8.53 11.266 -0.085 -6.746 0.82 0.82 0.6724
17 1.2 DL + 1.6 LL CHECKERED 4 3.306 418.289 4.92 7.156 -0.084 -3.634 0.75 0.75 0.5625
18 1.2 DL + 1.0 LL + 1.0 SL +X -9.691 435.857 4.05 -1.048 -1.062 36.324 0.9 0.9 0.81
19 1.2 DL + 1.0 LL CHECKERED 1 + 1.0 SL +X -11.52 376.449 2.348 -3.049 -1.057 38.248 0.88 0.88 0.7744
20 1.2 DL + 1.0 LL CHECKERED 2 + 1.0 SL +X -9.075 391.663 4.181 -0.986 -1.058 35.474 0.87 0.87 0.7569
21 1.2 DL + 1.0 LL CHECKERED 3 + 1.0 SL +X -9.42 391.161 4.393 -0.733 -1.058 35.888 0.87 0.87 0.7569
22 1.2 DL + 1.0 LL CHECKERED 4 + 1.0 SL +X -11.174 376.952 2.136 -3.302 -1.057 37.834 0.88 0.88 0.7744
23 1.2 DL + 1.0 LL + 1.0 SL -X 19.614 482.374 10.062 20.279 0.888 -47.169 1.02 1.02 1.0404
24 1.2 DL + 1.0 LL CHECKERED 1 + 1.0 SL -X 17.785 422.967 8.36 18.278 0.893 -45.245 0.98 0.98 0.9604
25 1.2 DL + 1.0 LL CHECKERED 2 + 1.0 SL -X 20.231 438.181 10.194 20.34 0.892 -48.018 1 1 1
26 1.2 DL + 1.0 LL CHECKERED 3 + 1.0 SL -X 19.885 437.678 10.405 20.593 0.892 -47.604 1 1 1
27 1.2 DL + 1.0 LL CHECKERED 4 + 1.0 SL -X 18.131 423.469 8.149 18.025 0.893 -45.659 0.98 0.98 0.9604
28 1.2 DL + 1.0 LL + 1.0 SL +Z 2.141 404.151 -19.914 -68.323 0.625 5.819 1 1 1
29 1.2 DL + 1.0 LL CHECKERED 1 + 1.0 SL +Z 0.313 344.743 -21.617 -70.324 0.63 7.744 0.98 0.98 0.9604
30 1.2 DL + 1.0 LL CHECKERED 2 + 1.0 SL +Z 2.758 359.957 -19.783 -68.261 0.629 4.97 0.98 0.98 0.9604
31 1.2 DL + 1.0 LL CHECKERED 3 + 1.0 SL +Z 2.412 359.455 -19.572 -68.008 0.629 5.384 0.98 0.98 0.9604
32 1.2 DL + 1.0 LL CHECKERED 4 + 1.0 SL +Z 0.658 345.245 -21.828 -70.577 0.63 7.33 0.98 0.98 0.9604
33 1.2 DL + 1.0 LL + 1.0 SL -Z 7.781 514.081 34.027 87.554 -0.798 -16.665 1.12 1.12 1.2544
34 1.2 DL + 1.0 LL CHECKERED 1 + 1.0 SL -Z 5.953 454.673 32.324 85.553 -0.794 -14.741 1.09 1.09 1.1881
35 1.2 DL + 1.0 LL CHECKERED 2 + 1.0 SL -Z 8.398 469.887 34.158 87.615 -0.794 -17.514 1.1 1.1 1.21
36 1.2 DL + 1.0 LL CHECKERED 3 + 1.0 SL -Z 8.052 469.385 34.37 87.868 -0.795 -17.1 1.1 1.1 1.21
37 1.2 DL + 1.0 LL CHECKERED 4 + 1.0 SL -Z 6.298 455.175 32.113 85.299 -0.794 -15.155 1.09 1.09 1.1881
38 0.9 DL + 1.0 SL +X -11.828 254.301 1.129 -4.886 -1.034 38.463 0.82 0.82 0.6724
39 0.9 DL + 1.0 SL -X 17.477 300.818 7.141 16.441 0.916 -45.03 0.91 0.91 0.8281
40 0.9 DL + 1.0 SL +Z 0.004 222.595 -22.835 -72.161 0.652 7.959 0.93 0.93 0.8649
41 0.9 DL + 1.0 SL -Z 5.644 332.525 31.106 83.716 -0.771 -14.525 1.03 1.03 1.0609
42 1.2 DL + 1.2 FL + 0.8 LL 4.751 442.565 6.751 9.254 -0.085 -5.238 0.8 0.8 0.64
43 1.2 DL + 1.2 FL + 0.8 LL CHECKERED 1 3.289 395.039 5.389 7.653 -0.081 -3.699 0.76 0.76 0.5776
44 1.2 DL + 1.2 FL + 0.8 LL CHECKERED 2 5.245 407.21 6.856 9.304 -0.082 -5.918 0.78 0.78 0.6084
45 1.2 DL + 1.2 FL + 0.8 LL CHECKERED 3 4.968 406.808 7.025 9.506 -0.082 -5.587 0.78 0.78 0.6084
46 1.2 DL + 1.2 FL + 0.8 LL CHECKERED 4 3.565 395.441 5.22 7.451 -0.081 -4.03 0.76 0.76 0.5776
NODE LOAD CASE FX FY FZ MX MY MZ B L BXL
3 12 1.4DL 3.463 791.921 12.494 16.225 -0.092 -4.052 1.03 1.03 1.0609
13 1.2 DL + 1,6 LL 5.207 998.009 16.157 20.393 -0.091 -5.515 1.15 1.15 1.3225
14 1.2 DL + 1,6 LL CHECKERED 1 9.1 814.479 14.18 18.009 -0.084 -10.168 1.07 1.07 1.1449
15 1.2 DL + 1,6 LL CHECKERED 2 -0.949 809.38 12.608 16.205 -0.085 1.225 1.03 1.03 1.0609
16 1.2 DL + 1,6 LL CHECKERED 3 5.734 838.634 17.75 22.058 -0.085 -6.317 1.08 1.08 1.1664
17 1.2 DL + 1,6 LL CHECKERED 4 2.418 785.225 9.038 12.156 -0.084 -2.626 1.01 1.01 1.0201
18 1.2 DL + 1,0 LL + 1.0 SL +X -11.801 881.386 12.468 12.697 -1.062 38.716 1.16 1.16 1.3456
19 1.2 DL + 1.0 LL CHECKERED 1 + 1.0 SL +X -9.368 766.68 11.232 11.207 -1.057 35.808 1.1 1.1 1.21
20 1.2 DL + 1.0 LL CHECKERED 2 + 1.0 SL +X -15.648 763.493 10.25 10.079 -1.058 42.928 1.11 1.11 1.2321
21 1.2 DL + 1.0 LL CHECKERED 3 + 1.0 SL +X -11.472 781.776 13.464 13.738 -1.058 38.214 1.11 1.11 1.2321
22 1.2 DL + 1.0 LL CHECKERED 4 + 1.0 SL +X -13.544 748.396 8.019 7.549 -1.057 40.521 1.09 1.09 1.1881
23 1.2 DL + 1.0 LL + 1.0 SL -X 20.536 875.217 15.759 23.224 0.888 -48.215 1.2 1.2 1.44
24 1.2 DL + 1.0 LL CHECKERED 1 + 1.0 SL -X 22.969 760.511 14.524 21.734 0.893 -51.123 1.15 1.15 1.3225
25 1.2 DL + 1.0 LL CHECKERED 2 + 1.0 SL -X 16.689 757.324 13.542 20.607 0.892 -44.002 1.13 1.13 1.2769
26 1.2 DL + 1.0 LL CHECKERED 3 + 1.0 SL -X 20.865 775.607 16.756 24.265 0.892 -48.716 1.16 1.16 1.3456
27 1.2 DL + 1.0 LL CHECKERED 4 + 1.0 SL -X 18.793 742.227 11.31 18.076 0.893 -46.409 1.13 1.13 1.2769
28 1.2 DL + 1.0 LL + 1.0 SL +Z 0.955 838.684 -13.764 -63.822 0.625 7.164 1.18 1.18 1.3924
29 1.2 DL + 1.0 LL CHECKERED 1 + 1.0 SL +Z 3.388 723.977 -15 -65.312 0.63 4.256 1.13 1.13 1.2769
30 1.2 DL + 1.0 LL CHECKERED 2 + 1.0 SL +Z -2.892 720.791 -15.982 -66.44 0.629 11.377 1.15 1.15 1.3225
31 1.2 DL + 1.0 LL CHECKERED 3 + 1.0 SL +Z 1.284 739.074 -12.768 -62.781 0.629 6.663 1.14 1.14 1.2996
32 1.2 DL + 1.0 LL CHECKERED 4 + 1.0 SL +Z -0.788 705.694 -18.214 -68.97 0.63 8.97 1.14 1.14 1.2996
33 1.2 DL + 1.0 LL + 1.0 SL -Z 7.78 917.919 41.992 99.744 -0.798 -16.663 1.3 1.3 1.69
34 1.2 DL + 1.0 LL CHECKERED 1 + 1.0 SL -Z 10.213 803.213 40.756 98.254 -0.794 -19.571 1.26 1.26 1.5876
35 1.2 DL + 1.0 LL CHECKERED 2 + 1.0 SL -Z 3.933 800.026 39.774 97.126 -0.794 -12.451 1.25 1.25 1.5625
36 1.2 DL + 1.0 LL CHECKERED 3 + 1.0 SL -Z 8.109 818.31 42.988 100.784 -0.795 -17.165 1.27 1.27 1.6129
37 1.2 DL + 1.0 LL CHECKERED 4 + 1.0 SL -Z 6.037 784.93 37.542 94.595 -0.794 -14.858 1.24 1.24 1.5376
38 0.9 DL + 1.0 SL +X -13.942 512.176 6.386 5.167 -1.034 40.86 0.97 0.97 0.9409
39 0.9 DL + 1.0 SL -X 18.395 506.007 9.677 15.694 0.916 -46.07 1.01 1.01 1.0201
40 0.9 DL + 1.0 SL +Z -1.186 469.474 -19.846 -71.353 0.652 9.309 1.05 1.05 1.1025
41 0.9 DL + 1.0 SL -Z 5.639 548.71 35.91 92.213 -0.771 -14.519 1.14 1.14 1.2996
42 1.2 DL + 1.2 FL + 0.8 LL 4.116 920.463 13.435 17.169 -0.085 -4.517 1.1 1.1 1.21
43 1.2 DL + 1.2 FL + 0.8 LL CHECKERED 1 6.062 828.698 12.446 15.977 -0.081 -6.844 1.06 1.06 1.1236
44 1.2 DL + 1.2 FL + 0.8 LL CHECKERED 2 1.038 826.149 11.661 15.074 -0.082 -1.147 1.04 1.04 1.0816
45 1.2 DL + 1.2 FL + 0.8 LL CHECKERED 3 4.379 840.776 14.232 18.001 -0.082 -4.918 1.07 1.07 1.1449
46 1.2 DL + 1.2 FL + 0.8 LL CHECKERED 4 2.721 814.071 9.875 13.05 -0.081 -3.073 1.03 1.03 1.0609
NODE LOAD CASE FX FY FZ MX MY MZ B L BXL
4 12 1.4DL -2.951 793.441 12.806 17.017 -0.092 3.221 1.03 1.03 1.0609
13 1.2 DL + 1,6 LL -3.07 1094.138 18.443 23.419 -0.091 3.87 1.2 1.2 1.44
14 1.2 DL + 1,6 LL CHECKERED 1 -9.65 863.14 13.785 17.96 -0.084 11.092 1.09 1.09 1.1881
15 1.2 DL + 1,6 LL CHECKERED 2 4.091 882.043 15.572 19.968 -0.085 -4.489 1.09 1.09 1.1881
16 1.2 DL + 1,6 LL CHECKERED 3 -3.139 911.542 20.663 25.765 -0.085 3.743 1.12 1.12 1.2544
17 1.2 DL + 1,6 LL CHECKERED 4 -2.421 833.64 8.695 12.163 -0.084 2.86 1.04 1.04 1.0816
18 1.2 DL + 1,0 LL + 1.0 SL +X -19.034 934.02 15.941 21.675 -1.062 46.917 1.23 1.23 1.5129
19 1.2 DL + 1.0 LL CHECKERED 1 + 1.0 SL +X -23.146 789.646 13.029 18.263 -1.057 51.431 1.16 1.16 1.3456
20 1.2 DL + 1.0 LL CHECKERED 2 + 1.0 SL +X -14.558 801.46 14.146 19.518 -1.058 41.692 1.04 1.04 1.0816
21 1.2 DL + 1.0 LL CHECKERED 3 + 1.0 SL +X -19.077 819.897 17.328 23.141 -1.058 46.837 1.17 1.17 1.3689
22 1.2 DL + 1.0 LL CHECKERED 4 + 1.0 SL +X -18.628 771.209 9.848 14.64 -1.057 46.285 1.13 1.13 1.2769
23 1.2 DL + 1.0 LL + 1.0 SL -X 13.299 943.722 15.346 18.539 0.888 -40.008 1.2 1.2 1.44
24 1.2 DL + 1.0 LL CHECKERED 1 + 1.0 SL -X 9.186 799.349 12.435 15.127 0.893 -35.495 1.12 1.12 1.2544
25 1.2 DL + 1.0 LL CHECKERED 2 + 1.0 SL -X 17.774 811.163 13.552 16.382 0.892 -45.233 1.15 1.15 1.3225
26 1.2 DL + 1.0 LL CHECKERED 3 + 1.0 SL -X 13.256 829.6 16.733 20.005 0.892 -40.088 1.2 1.2 1.44
27 1.2 DL + 1.0 LL CHECKERED 4 + 1.0 SL -X 13.705 780.911 9.253 11.504 0.893 -40.64 1.11 1.11 1.2321
28 1.2 DL + 1.0 LL + 1.0 SL +Z -6.283 890.318 -13.208 -66.159 0.625 15.372 1.23 1.23 1.5129
29 1.2 DL + 1.0 LL CHECKERED 1 + 1.0 SL +Z -10.396 745.944 -16.12 -69.571 0.63 19.886 1.18 1.18 1.3924
30 1.2 DL + 1.0 LL CHECKERED 2 + 1.0 SL +Z -1.808 757.759 -15.003 -68.315 0.629 10.147 1.17 1.17 1.3689
31 1.2 DL + 1.0 LL CHECKERED 3 + 1.0 SL +Z -6.326 776.196 -11.821 -64.693 0.629 15.293 1.18 1.18 1.3924
32 1.2 DL + 1.0 LL CHECKERED 4 + 1.0 SL +Z -5.877 727.507 -19.301 -73.194 0.63 14.741 1.17 1.17 1.3689
33 1.2 DL + 1.0 LL + 1.0 SL -Z 0.548 987.424 44.495 106.372 -0.798 -8.463 1.33 1.33 1.7689
34 1.2 DL + 1.0 LL CHECKERED 1 + 1.0 SL -Z -3.564 843.05 41.583 102.96 -0.794 -3.95 1.26 1.26 1.5876
35 1.2 DL + 1.0 LL CHECKERED 2 + 1.0 SL -Z 5.024 854.864 42.7 104.216 -0.794 -13.688 1.28 1.28 1.6384
36 1.2 DL + 1.0 LL CHECKERED 3 + 1.0 SL -Z 0.506 873.301 45.882 107.838 -0.795 -8.543 1.29 1.29 1.6641
37 1.2 DL + 1.0 LL CHECKERED 4 + 1.0 SL -Z 0.954 824.613 38.402 99.337 -0.794 -9.095 1.25 1.25 1.5625
38 0.9 DL + 1.0 SL +X -18.064 505.218 8.53 12.508 -1.034 45.533 1 1 1
39 0.9 DL + 1.0 SL -X 14.269 514.921 7.935 9.372 0.916 -41.392 0.98 0.98 0.9604
40 0.9 DL + 1.0 SL +Z -5.313 461.517 -20.619 -75.326 0.652 13.989 1.06 1.06 1.1236
41 0.9 DL + 1.0 SL -Z 1.518 558.622 37.084 97.205 -0.771 -9.847 1.15 1.15 1.3225
42 1.2 DL + 1.2 FL + 0.8 LL -2.803 970.423 14.711 19.018 -0.085 3.328 1.13 1.13 1.2769
43 1.2 DL + 1.2 FL + 0.8 LL CHECKERED 1 -6.093 854.924 12.382 16.289 -0.081 6.939 1.07 1.07 1.1449
44 1.2 DL + 1.2 FL + 0.8 LL CHECKERED 2 0.777 864.376 13.276 17.293 -0.082 -0.852 1.06 1.06 1.1236
45 1.2 DL + 1.2 FL + 0.8 LL CHECKERED 3 -2.838 879.126 15.821 20.191 -0.082 3.264 1.09 1.09 1.1881
46 1.2 DL + 1.2 FL + 0.8 LL CHECKERED 4 -2.479 840.175 9.837 13.39 -0.081 2.823 1.05 1.05 1.1025
NODE LOAD CASE FX FY FZ MX MY MZ B L BXL
5 12 1.4DL -4.228 430.018 6.845 10.623 -0.092 4.668 0.8 0.8 0.64
13 1.2 DL + 1,6 LL -7.796 611.66 10.452 14.719 -0.091 9.228 0.95 0.95 0.9025
14 1.2 DL + 1,6 LL CHECKERED 1 -2.31 465.861 4.853 8.164 -0.084 2.769 0.8 0.8 0.64
15 1.2 DL + 1,6 LL CHECKERED 2 -9.106 514.713 11.431 15.608 -0.085 10.474 0.9 0.9 0.81
16 1.2 DL + 1,6 LL CHECKERED 3 -9.074 513.967 11.732 15.976 -0.085 10.473 0.9 0.9 0.81
17 1.2 DL + 1,6 LL CHECKERED 4 -2.342 466.607 4.551 7.796 -0.084 2.77 0.8 0.8 0.64
18 1.2 DL + 1,0 LL + 1.0 SL +X -20.858 547.414 10.594 19.812 -1.062 48.985 1.05 1.05 1.1025
19 1.2 DL + 1.0 LL CHECKERED 1 + 1.0 SL +X -17.429 456.29 7.094 15.715 -1.057 44.948 0.98 0.98 0.9604
20 1.2 DL + 1.0 LL CHECKERED 2 + 1.0 SL +X -21.677 486.822 11.205 20.368 -1.058 49.764 0.03 0.03 0.0009
21 1.2 DL + 1.0 LL CHECKERED 3 + 1.0 SL +X -21.657 486.356 11.394 20.598 -1.058 49.763 1.03 1.03 1.0609
22 1.2 DL + 1.0 LL CHECKERED 4 + 1.0 SL +X -17.449 456.756 6.906 15.485 -1.057 44.949 0.98 0.98 0.9604
23 1.2 DL + 1.0 LL + 1.0 SL -X 8.396 493.601 6.872 5.415 0.888 -34.449 0.94 0.94 0.8836
24 1.2 DL + 1.0 LL CHECKERED 1 + 1.0 SL -X 11.824 402.477 3.372 1.318 0.893 -38.486 0.89 0.89 0.7921
25 1.2 DL + 1.0 LL CHECKERED 2 + 1.0 SL -X 7.577 433.009 7.483 5.971 0.892 -33.67 0.9 0.9 0.81
26 1.2 DL + 1.0 LL CHECKERED 3 + 1.0 SL -X 7.597 432.543 7.672 6.201 0.892 -33.671 0.9 0.9 0.81
27 1.2 DL + 1.0 LL CHECKERED 4 + 1.0 SL -X 11.804 402.943 3.184 1.088 0.893 -38.485 0.89 0.89 0.7921
28 1.2 DL + 1.0 LL + 1.0 SL +Z -9.083 480.029 -20.976 -77.439 0.625 18.546 1.09 1.09 1.1881
29 1.2 DL + 1.0 LL CHECKERED 1 + 1.0 SL +Z -5.654 388.905 -24.475 -81.536 0.63 14.509 1.05 1.05 1.1025
30 1.2 DL + 1.0 LL CHECKERED 2 + 1.0 SL +Z -9.902 419.437 -20.364 -76.883 0.629 19.325 1.06 1.06 1.1236
31 1.2 DL + 1.0 LL CHECKERED 3 + 1.0 SL +Z -9.882 418.971 -20.175 -76.653 0.629 19.324 1.06 1.06 1.1236
32 1.2 DL + 1.0 LL CHECKERED 4 + 1.0 SL +Z -5.674 389.371 -24.664 -81.766 0.63 14.51 1.05 1.05 1.1025
33 1.2 DL + 1.0 LL + 1.0 SL -Z -3.38 560.986 38.441 102.667 -0.798 -4.01 1.15 1.15 1.3225
34 1.2 DL + 1.0 LL CHECKERED 1 + 1.0 SL -Z 0.049 469.862 34.942 98.57 -0.794 -8.047 1.11 1.11 1.2321
35 1.2 DL + 1.0 LL CHECKERED 2 + 1.0 SL -Z -4.198 500.394 39.053 103.222 -0.794 -3.231 1.12 1.12 1.2544
36 1.2 DL + 1.0 LL CHECKERED 3 + 1.0 SL -Z -4.178 499.928 39.241 103.452 -0.795 -3.232 1.12 1.12 1.2544
37 1.2 DL + 1.0 LL CHECKERED 4 + 1.0 SL -Z 0.029 470.328 34.753 98.34 -0.794 -8.046 1.11 1.11 1.2321
38 0.9 DL + 1.0 SL +X -17.345 303.347 6.261 14.027 -1.034 44.718 0.9 0.9 0.81
39 0.9 DL + 1.0 SL -X 11.909 249.534 2.539 -0.369 0.916 -38.716 0.8 0.8 0.64
40 0.9 DL + 1.0 SL +Z -5.569 235.962 -25.308 -83.224 0.652 14.279 0.99 0.99 0.9801
41 0.9 DL + 1.0 SL -Z 0.134 316.919 34.108 96.882 -0.771 -8.277 1.04 1.04 1.0816
42 1.2 DL + 1.2 FL + 0.8 LL -5.712 573.412 8.16 11.924 -0.085 6.626 0.9 0.9 0.81
43 1.2 DL + 1.2 FL + 0.8 LL CHECKERED 1 -2.969 500.513 5.36 8.647 -0.081 3.397 0.83 0.83 0.6889
44 1.2 DL + 1.2 FL + 0.8 LL CHECKERED 2 -6.367 524.939 8.649 12.369 -0.082 7.249 0.88 0.88 0.7744
45 1.2 DL + 1.2 FL + 0.8 LL CHECKERED 3 -6.351 524.566 8.8 12.553 -0.082 7.249 0.88 0.88 0.7744
46 1.2 DL + 1.2 FL + 0.8 LL CHECKERED 4 -2.985 500.886 5.209 8.463 -0.081 3.397 0.83 0.83 0.6889
NODE LOAD CASE FX FY FZ MX MY MZ B L BXL
52 12 1.4DL 5.794 1264.565 -4.724 -3.298 -0.092 -6.33 1.24 1.24 1.5376
13 1.2 DL + 1,6 LL 7.798 1747.563 -3.914 -2.365 -0.091 -8.093 1.45 1.45 2.1025
14 1.2 DL + 1,6 LL CHECKERED 1 17.67 1379.478 -4.202 -2.833 -0.084 -19.554 1.32 1.32 1.7424
15 1.2 DL + 1,6 LL CHECKERED 2 -4.949 1382.925 -3.751 -2.345 -0.085 6.096 1.29 1.29 1.6641
16 1.2 DL + 1,6 LL CHECKERED 3 7.71 1373.007 -11.738 -11.379 -0.085 -8.221 1.31 1.31 1.7161
17 1.2 DL + 1,6 LL CHECKERED 4 5.011 1389.396 3.786 6.201 -0.084 -5.237 1.3 1.3 1.69
18 1.2 DL + 1,0 LL + 1.0 SL +X -11.513 1510.767 -5.868 -8.093 -1.062 42.589 1.42 1.42 2.0164
19 1.2 DL + 1.0 LL CHECKERED 1 + 1.0 SL +X -5.343 1280.714 -6.047 -8.386 -1.057 35.425 1.32 1.32 1.7424
20 1.2 DL + 1.0 LL CHECKERED 2 + 1.0 SL +X -19.479 1282.868 -5.766 -8.081 -1.058 51.457 1.34 1.34 1.7956
21 1.2 DL + 1.0 LL CHECKERED 3 + 1.0 SL +X -11.568 1276.669 -10.758 -13.727 -1.058 42.508 1.34 1.34 1.7956
22 1.2 DL + 1.0 LL CHECKERED 4 + 1.0 SL +X -13.254 1286.913 -1.055 -2.74 -1.057 44.374 1.32 1.32 1.7424
23 1.2 DL + 1.0 LL + 1.0 SL -X 24.985 1486.622 -2.061 3.018 0.888 -56.774 1.42 1.42 2.0164
24 1.2 DL + 1.0 LL CHECKERED 1 + 1.0 SL -X 31.155 1256.569 -2.241 2.725 0.893 -63.937 1.35 1.35 1.8225
25 1.2 DL + 1.0 LL CHECKERED 2 + 1.0 SL -X 17.019 1258.723 -1.96 3.03 0.892 -47.906 1.32 1.32 1.7424
26 1.2 DL + 1.0 LL CHECKERED 3 + 1.0 SL -X 24.931 1252.524 -6.952 -2.617 0.892 -56.854 1.33 1.33 1.7689
27 1.2 DL + 1.0 LL CHECKERED 4 + 1.0 SL -X 23.244 1262.768 2.751 8.371 0.893 -54.989 1.34 1.34 1.7956
28 1.2 DL + 1.0 LL + 1.0 SL +Z 4.689 1470.912 -36.279 -89.351 0.625 0.458 1.47 1.47 2.1609
29 1.2 DL + 1.0 LL CHECKERED 1 + 1.0 SL +Z 10.859 1240.859 -36.459 -89.644 0.63 -6.706 1.39 1.39 1.9321
30 1.2 DL + 1.0 LL CHECKERED 2 + 1.0 SL +Z -3.278 1243.014 -36.177 -89.339 0.629 9.326 1.4 1.4 1.96
31 1.2 DL + 1.0 LL CHECKERED 3 + 1.0 SL +Z 4.634 1236.815 -41.169 -94.985 0.629 0.377 1.39 1.39 1.9321
32 1.2 DL + 1.0 LL CHECKERED 4 + 1.0 SL +Z 2.947 1247.058 -31.467 -83.998 0.63 2.243 1.38 1.38 1.9044
33 1.2 DL + 1.0 LL + 1.0 SL -Z 8.784 1526.476 28.35 84.275 -0.798 -14.643 1.5 1.5 2.25
34 1.2 DL + 1.0 LL CHECKERED 1 + 1.0 SL -Z 14.954 1296.423 28.17 83.983 -0.794 -21.807 1.43 1.43 2.0449
35 1.2 DL + 1.0 LL CHECKERED 2 + 1.0 SL -Z 0.817 1298.577 28.452 84.287 -0.794 -5.775 1.4 1.4 1.96
36 1.2 DL + 1.0 LL CHECKERED 3 + 1.0 SL -Z 8.729 1292.379 23.46 78.641 -0.795 -14.723 1.41 1.41 1.9881
37 1.2 DL + 1.0 LL CHECKERED 4 + 1.0 SL -Z 7.042 1302.622 33.162 89.629 -0.794 -12.858 1.42 1.42 2.0164
38 0.9 DL + 1.0 SL +X -14.524 825.007 -4.94 -7.675 -1.034 45.612 1.14 1.14 1.2996
39 0.9 DL + 1.0 SL -X 21.974 800.862 -1.133 3.436 0.916 -53.751 1.14 1.14 1.2996
40 0.9 DL + 1.0 SL +Z 1.678 785.153 -35.351 -88.933 0.652 3.481 1.21 1.21 1.4641
41 0.9 DL + 1.0 SL -Z 5.772 840.717 29.278 84.693 -0.771 -11.62 1.24 1.24 1.5376
42 1.2 DL + 1.2 FL + 0.8 LL 6.41 1495.479 -4.023 -2.626 -0.085 -6.784 1.34 1.34 1.7956
43 1.2 DL + 1.2 FL + 0.8 LL CHECKERED 1 11.346 1311.437 -4.167 -2.861 -0.081 -12.515 1.27 1.27 1.6129
44 1.2 DL + 1.2 FL + 0.8 LL CHECKERED 2 0.037 1313.161 -3.941 -2.617 -0.082 0.31 1.25 1.25 1.5625
45 1.2 DL + 1.2 FL + 0.8 LL CHECKERED 3 6.366 1308.201 -7.935 -7.134 -0.082 -6.848 1.27 1.27 1.6129
46 1.2 DL + 1.2 FL + 0.8 LL CHECKERED 4 5.017 1316.396 -0.173 1.656 -0.081 -5.356 1.26 1.26 1.5876
NODE LOAD CASE FX FY FZ MX MY MZ B L BXL
53 12 1.4DL -5.838 1258.788 -4.718 -2.853 -0.092 6.859 1.23 1.23 1.5129
13 1.2 DL + 1,6 LL -6.109 1839.069 -5.825 -4.099 -0.091 7.677 1.47 1.47 2.1609
14 1.2 DL + 1,6 LL CHECKERED 1 -18.831 1421.588 -3.674 -1.837 -0.084 21.834 1.34 1.34 1.7956
15 1.2 DL + 1,6 LL CHECKERED 2 7.779 1450.814 -6.211 -4.732 -0.085 -8.336 1.33 1.33 1.7689
16 1.2 DL + 1,6 LL CHECKERED 3 -5.518 1440.306 -14.274 -13.85 -0.085 6.778 1.34 1.34 1.7956
17 1.2 DL + 1,6 LL CHECKERED 4 -5.534 1432.096 4.389 7.282 -0.084 6.72 1.32 1.32 1.7424
18 1.2 DL + 1,0 LL + 1.0 SL +X -23.756 1548.597 -4.759 -1.796 -1.062 56.471 1.45 1.45 2.1025
19 1.2 DL + 1.0 LL CHECKERED 1 + 1.0 SL +X -31.706 1287.672 -3.414 -0.382 -1.057 65.319 1.36 1.36 1.8496
20 1.2 DL + 1.0 LL CHECKERED 2 + 1.0 SL +X -15.075 1305.938 -5 -2.191 -1.058 46.463 1.33 1.33 1.7689
21 1.2 DL + 1.0 LL CHECKERED 3 + 1.0 SL +X -23.386 1299.37 -10.04 -7.89 -1.058 55.909 1.36 1.36 1.8496
22 1.2 DL + 1.0 LL CHECKERED 4 + 1.0 SL +X -23.396 1294.239 1.625 5.317 -1.057 55.873 1.35 1.35 1.8225
23 1.2 DL + 1.0 LL + 1.0 SL -X 12.366 1559.46 -5.556 -5.162 0.888 -42.465 1.43 1.43 2.0449
24 1.2 DL + 1.0 LL CHECKERED 1 + 1.0 SL -X 4.415 1298.535 -4.211 -3.748 0.893 -33.617 1.31 1.31 1.7161
25 1.2 DL + 1.0 LL CHECKERED 2 + 1.0 SL -X 21.046 1316.801 -5.797 -5.557 0.892 -52.473 1.36 1.36 1.8496
26 1.2 DL + 1.0 LL CHECKERED 3 + 1.0 SL -X 12.736 1310.233 -10.836 -11.256 0.892 -43.027 1.35 1.35 1.8225
27 1.2 DL + 1.0 LL CHECKERED 4 + 1.0 SL -X 12.725 1305.102 0.829 1.951 0.893 -43.063 1.33 1.33 1.7689
28 1.2 DL + 1.0 LL + 1.0 SL +Z -8.075 1530.971 -38.702 -95.066 0.625 14.931 1.52 1.52 2.3104
29 1.2 DL + 1.0 LL CHECKERED 1 + 1.0 SL +Z -16.026 1270.045 -37.358 -93.652 0.63 23.779 1.43 1.43 2.0449
30 1.2 DL + 1.0 LL CHECKERED 2 + 1.0 SL +Z 0.605 1288.312 -38.943 -95.462 0.629 4.923 1.41 1.41 1.9881
31 1.2 DL + 1.0 LL CHECKERED 3 + 1.0 SL +Z -7.705 1281.744 -43.983 -101.161 0.629 14.369 1.44 1.44 2.0736
32 1.2 DL + 1.0 LL CHECKERED 4 + 1.0 SL +Z -7.715 1276.613 -32.318 -87.953 0.63 14.333 1.41 1.41 1.9881
33 1.2 DL + 1.0 LL + 1.0 SL -Z -3.315 1577.087 28.388 88.109 -0.798 -0.925 1.5 1.5 2.25
34 1.2 DL + 1.0 LL CHECKERED 1 + 1.0 SL -Z -11.266 1316.161 29.732 89.522 -0.794 7.923 1.42 1.42 2.0164
35 1.2 DL + 1.0 LL CHECKERED 2 + 1.0 SL -Z 5.366 1334.427 28.147 87.713 -0.794 -10.933 1.43 1.43 2.0449
36 1.2 DL + 1.0 LL CHECKERED 3 + 1.0 SL -Z -2.945 1327.86 23.107 82.014 -0.795 -1.487 1.4 1.4 1.96
37 1.2 DL + 1.0 LL CHECKERED 4 + 1.0 SL -Z -2.955 1322.728 34.772 95.221 -0.794 -1.523 1.42 1.42 2.0164
38 0.9 DL + 1.0 SL +X -21.814 803.79 -2.634 -0.151 -1.034 53.877 1.13 1.13 1.2769
39 0.9 DL + 1.0 SL -X 14.308 814.652 -3.431 -3.517 0.916 -45.058 1.12 1.12 1.2544
40 0.9 DL + 1.0 SL +Z -6.133 786.163 -36.578 -93.421 0.652 12.337 1.23 1.23 1.5129
41 0.9 DL + 1.0 SL -Z -1.373 832.279 30.512 89.753 -0.771 -3.518 1.23 1.23 1.5129
42 1.2 DL + 1.2 FL + 0.8 LL -5.559 1539.994 -4.978 -3.307 -0.085 6.788 1.36 1.36 1.8496
43 1.2 DL + 1.2 FL + 0.8 LL CHECKERED 1 -11.92 1331.253 -3.902 -2.176 -0.081 13.866 1.28 1.28 1.6384
44 1.2 DL + 1.2 FL + 0.8 LL CHECKERED 2 1.385 1345.866 -5.171 -3.624 -0.082 -1.219 1.26 1.26 1.5876
45 1.2 DL + 1.2 FL + 0.8 LL CHECKERED 3 -5.263 1340.612 -9.202 -8.183 -0.082 6.338 1.28 1.28 1.6384
46 1.2 DL + 1.2 FL + 0.8 LL CHECKERED 4 -5.271 1336.507 0.129 2.383 -0.081 6.309 1.25 1.25 1.5625
NODE LOAD CASE FX FY FZ MX MY MZ B L BXL
56 12 1.4DL -2.604 359.532 5.141 9.348 -0.092 3.192 0.74 0.74 0.5476
13 1.2 DL + 1,6 LL -4.487 465.704 6.876 11.313 -0.091 5.837 0.83 0.83 0.6889
14 1.2 DL + 1,6 LL CHECKERED 1 -1.606 371.88 4.171 7.987 -0.084 2.303 0.73 0.73 0.5329
15 1.2 DL + 1,6 LL CHECKERED 2 -5.114 402.104 7.076 11.275 -0.085 6.284 0.79 0.79 0.6241
16 1.2 DL + 1,6 LL CHECKERED 3 -1.935 371.396 3.718 7.496 -0.085 2.716 0.73 0.73 0.5329
17 1.2 DL + 1,6 LL CHECKERED 4 -4.785 402.588 7.529 11.766 -0.084 5.871 0.79 0.79 0.6241
18 1.2 DL + 1,0 LL + 1.0 SL +X -20.293 463.071 10.874 27.691 -1.062 52.544 1.04 1.04 1.0816
19 1.2 DL + 1.0 LL CHECKERED 1 + 1.0 SL +X -18.492 404.431 9.183 25.612 -1.057 50.336 1 1 1
20 1.2 DL + 1.0 LL CHECKERED 2 + 1.0 SL +X -20.685 423.321 10.999 27.667 -1.058 52.823 1.02 1.02 1.0404
21 1.2 DL + 1.0 LL CHECKERED 3 + 1.0 SL +X -18.698 404.128 8.901 25.305 -1.058 50.593 1 1 1
22 1.2 DL + 1.0 LL CHECKERED 4 + 1.0 SL +X -20.479 423.623 11.282 27.974 -1.057 52.566 1.02 1.02 1.0404
23 1.2 DL + 1.0 LL + 1.0 SL -X 13.01 350.187 1.025 -7.539 0.888 -43.195 0.9 0.9 0.81
24 1.2 DL + 1.0 LL CHECKERED 1 + 1.0 SL -X 14.811 291.547 -0.665 -9.618 0.893 -45.404 0.88 0.88 0.7744
25 1.2 DL + 1.0 LL CHECKERED 2 + 1.0 SL -X 12.618 310.437 1.151 -7.563 0.892 -42.916 0.88 0.88 0.7744
26 1.2 DL + 1.0 LL CHECKERED 3 + 1.0 SL -X 14.605 291.244 -0.948 -9.925 0.892 -45.146 0.88 0.88 0.7744
27 1.2 DL + 1.0 LL CHECKERED 4 + 1.0 SL -X 12.824 310.739 1.434 -7.256 0.893 -43.174 0.88 0.88 0.7744
28 1.2 DL + 1.0 LL + 1.0 SL +Z -5.758 331.688 -26.282 -87.906 0.625 12.304 1.03 1.03 1.0609
29 1.2 DL + 1.0 LL CHECKERED 1 + 1.0 SL +Z -3.958 273.047 -27.972 -89.985 0.63 10.095 1..01 1..01
30 1.2 DL + 1.0 LL CHECKERED 2 + 1.0 SL +Z -6.15 291.938 -26.156 -87.93 0.629 12.583 1.02 1.02 1.0404
31 1.2 DL + 1.0 LL CHECKERED 3 + 1.0 SL +Z -4.163 272.745 -28.255 -90.292 0.629 10.353 1.01 1.01 1.0201
32 1.2 DL + 1.0 LL CHECKERED 4 + 1.0 SL +Z -5.945 292.24 -25.874 -87.623 0.63 12.325 1.02 1.02 1.0404
33 1.2 DL + 1.0 LL + 1.0 SL -Z -1.524 481.57 38.181 108.058 -0.798 -2.955 1.12 1.12 1.2544
34 1.2 DL + 1.0 LL CHECKERED 1 + 1.0 SL -Z 0.276 422.93 36.491 105.979 -0.794 -5.163 1.1 1.1 1.21
35 1.2 DL + 1.0 LL CHECKERED 2 + 1.0 SL -Z -1.917 441.82 38.307 108.034 -0.794 -2.676 1.11 1.11 1.2321
36 1.2 DL + 1.0 LL CHECKERED 3 + 1.0 SL -Z 0.07 422.628 36.208 105.672 -0.795 -4.906 1.1 1.1 1.21
37 1.2 DL + 1.0 LL CHECKERED 4 + 1.0 SL -Z -1.711 442.123 38.589 108.341 -0.794 -2.933 1.11 1.11 1.2321
38 0.9 DL + 1.0 SL +X -18.325 287.57 8.229 23.625 -1.034 49.922 0.94 0.94 0.8836
39 0.9 DL + 1.0 SL -X 14.978 174.686 -1.619 -11.605 0.916 -45.818 0.83 0.83 0.6889
40 0.9 DL + 1.0 SL +Z -3.791 156.186 -28.927 -91.973 0.652 9.681 0.96 0.96 0.9216
41 0.9 DL + 1.0 SL -Z 0.443 306.069 35.536 103.992 -0.771 -5.577 1.05 1.05 1.1025
42 1.2 DL + 1.2 FL + 0.8 LL -3.361 386.981 5.641 9.672 -0.085 4.295 0.76 0.76 0.5776
43 1.2 DL + 1.2 FL + 0.8 LL CHECKERED 1 -1.921 340.068 4.288 8.008 -0.081 2.529 0.71 0.71 0.5041
44 1.2 DL + 1.2 FL + 0.8 LL CHECKERED 2 -3.675 355.181 5.741 9.652 -0.082 4.519 0.74 0.74 0.5476
45 1.2 DL + 1.2 FL + 0.8 LL CHECKERED 3 -2.085 339.827 4.062 7.763 -0.082 2.735 0.71 0.71 0.5041
46 1.2 DL + 1.2 FL + 0.8 LL CHECKERED 4 -3.51 355.423 5.967 9.898 -0.081 4.313 0.74 0.74 0.5476
NODE LOAD CASE FX FY FZ MX MY MZ B L BXL
105 12 1.4DL -6.671 669.258 6.984 11.438 -0.092 8.096 0.98 0.98 0.9604
13 1.2 DL + 1,6 LL -11.69 962.244 11.432 16.479 -0.091 14.294 1.15 1.15 1.3225
14 1.2 DL + 1,6 LL CHECKERED 1 -3.858 728.236 4.874 8.785 -0.084 5.122 0.98 0.98 0.9604
15 1.2 DL + 1,6 LL CHECKERED 2 -13.537 807.383 12.505 17.431 -0.085 16.103 1.08 1.08 1.1664
16 1.2 DL + 1,6 LL CHECKERED 3 -10.148 776.001 15.926 21.338 -0.085 12.298 1.06 1.06 1.1236
17 1.2 DL + 1,6 LL CHECKERED 4 -7.247 759.618 1.454 4.879 -0.084 8.927 0.99 0.99 0.9801
18 1.2 DL + 1,0 LL + 1.0 SL +X -27.47 851.21 15.163 32.553 -1.062 64.043 1.24 1.24 1.5376
19 1.2 DL + 1.0 LL CHECKERED 1 + 1.0 SL +X -22.575 704.955 11.064 27.744 -1.057 58.311 1.16 1.16 1.3456
20 1.2 DL + 1.0 LL CHECKERED 2 + 1.0 SL +X -28.625 754.422 15.834 33.148 -1.058 65.174 1.21 1.21 1.4641
21 1.2 DL + 1.0 LL CHECKERED 3 + 1.0 SL +X -26.507 734.809 17.971 35.59 -1.058 62.796 1.2 1.2 1.44
22 1.2 DL + 1.0 LL CHECKERED 4 + 1.0 SL +X -24.694 724.569 8.927 25.303 -1.057 60.689 1.17 1.17 1.3689
23 1.2 DL + 1.0 LL + 1.0 SL -X 8.57 781.832 3.617 -4.601 0.888 -40.972 1.1 1.1 1.21
24 1.2 DL + 1.0 LL CHECKERED 1 + 1.0 SL -X 13.465 635.577 -0.481 -9.41 0.893 -46.704 1.06 1.06 1.1236
25 1.2 DL + 1.0 LL CHECKERED 2 + 1.0 SL -X 7.415 685.044 4.288 -4.006 0.892 -39.841 1.05 1.05 1.1025
26 1.2 DL + 1.0 LL CHECKERED 3 + 1.0 SL -X 9.534 665.431 6.426 -1.564 0.892 -42.219 1.04 1.04 1.0816
27 1.2 DL + 1.0 LL CHECKERED 4 + 1.0 SL -X 11.347 655.191 -2.619 -11.851 0.893 -44.326 1.07 1.07 1.1449
28 1.2 DL + 1.0 LL + 1.0 SL +Z -10.774 863.779 -26.781 -88.472 0.625 16.012 1.26 1.26 1.5876
29 1.2 DL + 1.0 LL CHECKERED 1 + 1.0 SL +Z -5.879 717.524 -30.879 -93.281 0.63 10.28 1.2 1.2 1.44
30 1.2 DL + 1.0 LL CHECKERED 2 + 1.0 SL +Z -11.928 766.992 -26.11 -87.877 0.629 17.143 1.22 1.22 1.4884
31 1.2 DL + 1.0 LL CHECKERED 3 + 1.0 SL +Z -9.81 747.378 -23.972 -85.436 0.629 14.765 1.21 1.21 1.4641
32 1.2 DL + 1.0 LL CHECKERED 4 + 1.0 SL +Z -7.997 737.138 -33.017 -95.723 0.63 12.658 1.22 1.22 1.4884
33 1.2 DL + 1.0 LL + 1.0 SL -Z -8.127 769.263 45.56 116.425 -0.798 7.059 1.26 1.26 1.5876
34 1.2 DL + 1.0 LL CHECKERED 1 + 1.0 SL -Z -3.232 623.008 41.462 111.616 -0.794 1.327 1.18 1.18 1.3924
35 1.2 DL + 1.0 LL CHECKERED 2 + 1.0 SL -Z -9.282 672.475 46.231 117.02 -0.794 8.19 1.23 1.23 1.5129
36 1.2 DL + 1.0 LL CHECKERED 3 + 1.0 SL -Z -7.163 652.861 48.369 119.461 -0.795 5.812 1.22 1.22 1.4884
37 1.2 DL + 1.0 LL CHECKERED 4 + 1.0 SL -Z -5.35 642.622 39.324 109.174 -0.794 3.705 1.19 1.19 1.4161
38 0.9 DL + 1.0 SL +X -22.309 464.926 10.263 25.93 -1.034 57.712 1.05 1.05 1.1025
39 0.9 DL + 1.0 SL -X 13.732 395.548 -1.283 -11.224 0.916 -47.303 0.95 0.95 0.9025
40 0.9 DL + 1.0 SL +Z -5.612 477.496 -31.681 -95.095 0.652 9.681 1.11 1.11 1.2321
41 0.9 DL + 1.0 SL -Z -2.965 382.979 40.66 109.802 -0.771 0.728 1.08 1.08 1.1664
42 1.2 DL + 1.2 FL + 0.8 LL -8.705 767.937 8.709 13.151 -0.085 10.623 1.03 1.03 1.0609
43 1.2 DL + 1.2 FL + 0.8 LL CHECKERED 1 -4.789 650.933 5.431 9.304 -0.081 6.037 0.94 0.94 0.8836
44 1.2 DL + 1.2 FL + 0.8 LL CHECKERED 2 -9.629 690.507 9.246 13.627 -0.082 11.528 0.99 0.99 0.9801
45 1.2 DL + 1.2 FL + 0.8 LL CHECKERED 3 -7.934 674.816 10.956 15.58 -0.082 9.625 0.99 0.99 0.9801
46 1.2 DL + 1.2 FL + 0.8 LL CHECKERED 4 -6.484 666.624 3.721 7.351 -0.081 7.94 0.95 0.95 0.9025
NODE LOAD CASE FX FY FZ MX MY MZ B L BXL
154 12 1.4DL -4.277 553.342 -1.512 1.805 -0.092 5.819 0.84 0.84 0.7056
13 1.2 DL + 1,6 LL -9.632 862.587 -5.805 -3.065 -0.091 12.393 1.05 1.05 1.1025
14 1.2 DL + 1,6 LL CHECKERED 1 -2.042 629.626 0.307 3.607 -0.084 3.461 0.89 0.89 0.7921
15 1.2 DL + 1,6 LL CHECKERED 2 -11.233 706.613 -7.448 -5.193 -0.085 13.893 0.98 0.98 0.9604
16 1.2 DL + 1,6 LL CHECKERED 3 -7.985 676.277 -10.706 -8.86 -0.085 10.25 0.97 0.97 0.9409
17 1.2 DL + 1,6 LL CHECKERED 4 -5.29 659.961 3.566 7.273 -0.084 7.105 0.94 0.94 0.8836
18 1.2 DL + 1,0 LL + 1.0 SL +X -28.477 806.058 1.595 17.169 -1.062 70.225 1.21 1.21 1.4641
19 1.2 DL + 1.0 LL CHECKERED 1 + 1.0 SL +X -23.734 660.457 5.415 21.338 -1.057 64.643 1.14 1.14 1.2996
20 1.2 DL + 1.0 LL CHECKERED 2 + 1.0 SL +X -29.478 708.574 0.568 15.838 -1.058 71.163 1.16 1.16 1.3456
21 1.2 DL + 1.0 LL CHECKERED 3 + 1.0 SL +X -27.448 689.615 -1.469 13.547 -1.058 68.886 1.15 1.15 1.3225
22 1.2 DL + 1.0 LL CHECKERED 4 + 1.0 SL +X -25.764 679.417 7.451 23.63 -1.057 66.92 1.16 1.16 1.3456
23 1.2 DL + 1.0 LL + 1.0 SL -X 13.688 627.895 -9.822 -19.839 0.888 -50.993 1.09 1.09 1.1881
24 1.2 DL + 1.0 LL CHECKERED 1 + 1.0 SL -X 18.432 482.295 -6.002 -15.669 0.893 -56.575 1.03 1.03 1.0609
25 1.2 DL + 1.0 LL CHECKERED 2 + 1.0 SL -X 12.688 530.411 -10.849 -21.17 0.892 -50.055 1.05 1.05 1.1025
26 1.2 DL + 1.0 LL CHECKERED 3 + 1.0 SL -X 14.718 511.452 -12.886 -23.461 0.892 -52.332 1.05 1.05 1.1025
27 1.2 DL + 1.0 LL CHECKERED 4 + 1.0 SL -X 16.402 501.254 -3.965 -13.378 0.893 -54.298 1.03 1.03 1.0609
28 1.2 DL + 1.0 LL + 1.0 SL +Z -6.689 646.379 -40.136 -103.616 0.625 8.413 1.19 1.19 1.4161
29 1.2 DL + 1.0 LL CHECKERED 1 + 1.0 SL +Z -1.945 500.778 -36.317 -99.447 0.63 2.831 1.11 1.11 1.2321
30 1.2 DL + 1.0 LL CHECKERED 2 + 1.0 SL +Z -7.689 548.895 -41.163 -104.947 0.629 9.351 1.16 1.16 1.3456
31 1.2 DL + 1.0 LL CHECKERED 3 + 1.0 SL +Z -5.659 529.935 -43.2 -107.238 0.629 7.074 1.15 1.15 1.3225
32 1.2 DL + 1.0 LL CHECKERED 4 + 1.0 SL +Z -3.975 519.738 -34.28 -97.155 0.63 5.108 1.12 1.12 1.2544
33 1.2 DL + 1.0 LL + 1.0 SL -Z -8.1 787.574 31.909 100.946 -0.798 10.819 1.25 1.25 1.5625
34 1.2 DL + 1.0 LL CHECKERED 1 + 1.0 SL -Z -3.357 641.974 35.729 105.115 -0.794 5.237 1.19 1.19 1.4161
35 1.2 DL + 1.0 LL CHECKERED 2 + 1.0 SL -Z -9.101 690.091 30.882 99.615 -0.794 11.757 1.21 1.21 1.4641
36 1.2 DL + 1.0 LL CHECKERED 3 + 1.0 SL -Z -7.071 671.131 28.845 97.324 -0.795 9.48 1.19 1.19 1.4161
37 1.2 DL + 1.0 LL CHECKERED 4 + 1.0 SL -Z -5.387 660.934 37.766 107.407 -0.794 7.514 1.2 1.2 1.44
38 0.9 DL + 1.0 SL +X -23.832 444.801 4.737 19.664 -1.034 64.35 1.04 1.04 1.0816
39 0.9 DL + 1.0 SL -X 18.334 266.639 -6.68 -17.343 0.916 -56.868 0.93 0.93 0.8649
40 0.9 DL + 1.0 SL +Z -2.043 285.122 -36.994 -101.121 0.652 2.538 1.02 1.02 1.0404
41 0.9 DL + 1.0 SL -Z -3.455 426.318 35.051 103.441 -0.771 4.944 1.09 1.09 1.1881
42 1.2 DL + 1.2 FL + 0.8 LL -6.65 668.506 -3.55 -0.75 -0.085 8.695 0.92 0.92 0.8464
43 1.2 DL + 1.2 FL + 0.8 LL CHECKERED 1 -2.855 552.026 -0.494 2.586 -0.081 4.229 0.84 0.84 0.7056
44 1.2 DL + 1.2 FL + 0.8 LL CHECKERED 2 -7.451 590.52 -4.371 -1.814 -0.082 9.445 0.88 0.88 0.7744
45 1.2 DL + 1.2 FL + 0.8 LL CHECKERED 3 -5.826 575.352 -6.001 -3.647 -0.082 7.623 0.87 0.87 0.7569
46 1.2 DL + 1.2 FL + 0.8 LL CHECKERED 4 -4.479 567.194 1.135 4.419 -0.081 6.051 0.87 0.87 0.7569
NODE LOAD CASE FX FY FZ MX MY MZ B L BXL
199 12 1.4DL -0.721 1187.203 6.308 9.211 -0.092 2.079 1.21 1.21 1.4641
13 1.2 DL + 1,6 LL 10.954 1794.62 8.978 12.253 -0.091 -10.661 1.48 1.48 2.1904
14 1.2 DL + 1,6 LL CHECKERED 1 20.898 1415.603 8.246 11.281 -0.084 -22.285 1.35 1.35 1.8225
15 1.2 DL + 1,6 LL CHECKERED 2 -10.516 1353.702 6.102 8.827 -0.085 13.349 1.3 1.3 1.69
16 1.2 DL + 1,6 LL CHECKERED 3 6.419 1392.133 17.445 21.711 -0.085 -5.812 1.33 1.33 1.7689
17 1.2 DL + 1,6 LL CHECKERED 4 3.964 1377.171 -3.097 -1.603 -0.084 -3.124 1.28 1.28 1.6384
18 1.2 DL + 1,0 LL + 1.0 SL +X -16.618 1513.317 5.705 5.029 -1.062 60.137 1.44 1.44 2.0736
19 1.2 DL + 1.0 LL CHECKERED 1 + 1.0 SL +X -10.403 1276.432 5.248 4.422 -1.057 52.872 1.34 1.34 1.7956
20 1.2 DL + 1.0 LL CHECKERED 2 + 1.0 SL +X -30.037 1237.744 3.908 2.888 -1.058 75.144 1.36 1.36 1.8496
21 1.2 DL + 1.0 LL CHECKERED 3 + 1.0 SL +X -19.453 1261.763 10.997 10.94 -1.058 63.168 1.36 1.36 1.8496
22 1.2 DL + 1.0 LL CHECKERED 4 + 1.0 SL +X -20.987 1252.412 -1.841 -3.631 -1.057 64.848 1.35 1.35 1.8225
23 1.2 DL + 1.0 LL + 1.0 SL -X 29.847 1493.159 9.572 16.209 0.888 -72.127 1.47 1.47 2.1609
24 1.2 DL + 1.0 LL CHECKERED 1 + 1.0 SL -X 36.062 1256.274 9.115 15.601 0.893 -79.392 1.39 1.39 1.9321
25 1.2 DL + 1.0 LL CHECKERED 2 + 1.0 SL -X 16.429 1217.586 7.775 14.067 0.892 -57.121 1.34 1.34 1.7956
26 1.2 DL + 1.0 LL CHECKERED 3 + 1.0 SL -X 27.012 1241.605 14.864 22.12 0.892 -69.096 1.38 1.38 1.9044
27 1.2 DL + 1.0 LL CHECKERED 4 + 1.0 SL -X 25.478 1232.254 2.026 7.548 0.893 -67.416 1.35 1.35 1.8225
28 1.2 DL + 1.0 LL + 1.0 SL +Z 7.135 1523.023 -24.492 -75.986 0.625 -9.24 1.48 1.48 2.1904
29 1.2 DL + 1.0 LL CHECKERED 1 + 1.0 SL +Z 13.35 1286.137 -24.95 -76.594 0.63 -16.505 1.4 1.4 1.96
30 1.2 DL + 1.0 LL CHECKERED 2 + 1.0 SL +Z -6.284 1247.449 -26.29 -78.128 0.629 5.766 1.37 1.37 1.8769
31 1.2 DL + 1.0 LL CHECKERED 3 + 1.0 SL +Z 4.3 1271.469 -19.2 -70.075 0.629 -6.209 1.37 1.37 1.8769
32 1.2 DL + 1.0 LL CHECKERED 4 + 1.0 SL +Z 2.766 1262.118 -32.039 -84.647 0.63 -4.529 1.39 1.39 1.9321
33 1.2 DL + 1.0 LL + 1.0 SL -Z 6.094 1483.454 39.77 97.224 -0.798 -2.749 1.48 1.48 2.1904
34 1.2 DL + 1.0 LL CHECKERED 1 + 1.0 SL -Z 12.309 1246.568 39.312 96.617 -0.794 -10.014 1.41 1.41 1.9881
35 1.2 DL + 1.0 LL CHECKERED 2 + 1.0 SL -Z -7.324 1207.88 37.972 95.083 -0.794 12.257 1.4 1.4 1.96
36 1.2 DL + 1.0 LL CHECKERED 3 + 1.0 SL -Z 3.26 1231.9 45.061 103.135 -0.795 0.281 1.4 1.4 1.96
37 1.2 DL + 1.0 LL CHECKERED 4 + 1.0 SL -Z 1.725 1222.549 32.223 88.564 -0.794 1.961 1.37 1.37 1.8769
38 0.9 DL + 1.0 SL +X -23.696 773.281 2.122 0.332 -1.034 67.469 1.15 1.15 1.3225
39 0.9 DL + 1.0 SL -X 22.769 753.123 5.989 11.511 0.916 -64.795 1.16 1.16 1.3456
40 0.9 DL + 1.0 SL +Z 0.057 782.987 -28.076 -80.684 0.652 -1.909 1.19 1.19 1.4161
41 0.9 DL + 1.0 SL -Z -0.984 743.418 36.186 92.527 -0.771 4.582 1.2 1.2 1.44
42 1.2 DL + 1.2 FL + 0.8 LL 5.168 1406.089 7.196 10.094 -0.085 -4.438 1.31 1.31 1.7161
43 1.2 DL + 1.2 FL + 0.8 LL CHECKERED 1 10.14 1216.581 6.83 9.608 -0.081 -10.25 1.24 1.24 1.5376
44 1.2 DL + 1.2 FL + 0.8 LL CHECKERED 2 -5.567 1185.63 5.758 8.381 -0.082 7.567 1.22 1.22 1.4884
45 1.2 DL + 1.2 FL + 0.8 LL CHECKERED 3 2.9 1204.846 11.429 14.824 -0.082 -2.013 1.23 1.23 1.5129
46 1.2 DL + 1.2 FL + 0.8 LL CHECKERED 4 1.673 1197.365 1.159 3.166 -0.081 -0.669 1.19 1.19 1.4161
NODE LOAD CASE FX FY FZ MX MY MZ B L BXL
200 12 1.4DL 0.039 1057.97 9.309 13.052 -0.092 1.217 1.15 1.15 1.3225
13 1.2 DL + 1,6 LL -10.193 1757.388 10.565 14.486 -0.091 13.318 1.48 1.48 2.1904
14 1.2 DL + 1,6 LL CHECKERED 1 -22.083 1341.756 11.063 14.874 -0.084 26.451 1.34 1.34 1.7956
15 1.2 DL + 1,6 LL CHECKERED 2 11.91 1298.726 7.43 10.736 -0.085 -12.08 1.28 1.28 1.6384
16 1.2 DL + 1,6 LL CHECKERED 3 -7.88 1317.935 20.238 25.283 -0.085 10.401 1.32 1.32 1.7424
17 1.2 DL + 1,6 LL CHECKERED 4 -2.292 1322.548 -1.744 0.326 -0.084 3.97 1.25 1.25 1.5625
18 1.2 DL + 1,0 LL + 1.0 SL +X -30.082 1415.768 10.064 15.012 -1.062 75.404 1.45 1.45 2.1025
19 1.2 DL + 1.0 LL CHECKERED 1 + 1.0 SL +X -37.513 1155.999 10.376 15.254 -1.057 83.612 1.36 1.36 1.8496
20 1.2 DL + 1.0 LL CHECKERED 2 + 1.0 SL +X -16.267 1129.105 8.105 12.668 -1.058 59.531 1.31 1.31 1.7161
21 1.2 DL + 1.0 LL CHECKERED 3 + 1.0 SL +X -28.636 1141.11 16.11 21.76 -1.058 73.581 1.35 1.35 1.8225
22 1.2 DL + 1.0 LL CHECKERED 4 + 1.0 SL +X -25.144 1143.993 2.371 6.162 -1.057 69.562 1.32 1.32 1.7424
23 1.2 DL + 1.0 LL + 1.0 SL -X 17.366 1461.09 9.126 11.486 0.888 -57.974 1.43 1.43 2.0449
24 1.2 DL + 1.0 LL CHECKERED 1 + 1.0 SL -X 9.935 1201.32 9.438 11.728 0.893 -49.766 1.32 1.32 1.7424
25 1.2 DL + 1.0 LL CHECKERED 2 + 1.0 SL -X 31.181 1174.427 7.167 9.142 0.892 -73.848 1.34 1.34 1.7956
26 1.2 DL + 1.0 LL CHECKERED 3 + 1.0 SL -X 18.812 1186.432 15.172 18.234 0.892 -59.797 1.34 1.34 1.7956
27 1.2 DL + 1.0 LL CHECKERED 4 + 1.0 SL -X 22.304 1189.315 1.433 2.636 0.893 -63.817 1.32 1.32 1.7424
28 1.2 DL + 1.0 LL + 1.0 SL +Z -5.199 1476.75 -23.96 -78.35 0.625 4.746 1.46 1.46 2.1316
29 1.2 DL + 1.0 LL CHECKERED 1 + 1.0 SL +Z -12.63 1216.98 -23.648 -78.107 0.63 12.954 1.37 1.37 1.8769
30 1.2 DL + 1.0 LL CHECKERED 2 + 1.0 SL +Z 8.615 1190.087 -25.919 -80.694 0.629 -11.127 1.36 1.36 1.8496
31 1.2 DL + 1.0 LL CHECKERED 3 + 1.0 SL +Z -3.754 1202.092 -17.914 -71.602 0.629 2.923 1.34 1.34 1.7956
32 1.2 DL + 1.0 LL CHECKERED 4 + 1.0 SL +Z -0.261 1204.975 -31.653 -87.199 0.63 -1.096 1.36 1.36 1.8496
33 1.2 DL + 1.0 LL + 1.0 SL -Z -7.516 1400.108 43.15 104.848 -0.798 12.684 1.48 1.48 2.1904
34 1.2 DL + 1.0 LL CHECKERED 1 + 1.0 SL -Z -14.948 1140.339 43.462 105.09 -0.794 20.892 1.4 1.4 1.96
35 1.2 DL + 1.0 LL CHECKERED 2 + 1.0 SL -Z 6.298 1113.445 41.191 102.504 -0.794 -3.19 1.36 1.36 1.8496
36 1.2 DL + 1.0 LL CHECKERED 3 + 1.0 SL -Z -6.071 1125.45 49.196 111.596 -0.795 10.861 1.39 1.39 1.9321
37 1.2 DL + 1.0 LL CHECKERED 4 + 1.0 SL -Z -2.579 1128.333 35.457 95.998 -0.794 6.841 1.36 1.36 1.8496
38 0.9 DL + 1.0 SL +X -23.699 657.463 6.453 10.153 -1.034 67.472 1.12 1.12 1.2544
39 0.9 DL + 1.0 SL -X 23.749 702.784 5.515 6.628 0.916 -65.907 1.13 1.13 1.2769
40 0.9 DL + 1.0 SL +Z 1.184 718.444 -27.571 -83.208 0.652 -3.186 1.17 1.17 1.3689
41 0.9 DL + 1.0 SL -Z -1.133 641.803 39.539 99.989 -0.771 4.751 1.17 1.17 1.3689
42 1.2 DL + 1.2 FL + 0.8 LL -5.08 1332.073 9.275 12.854 -0.085 7.183 1.29 1.29 1.6641
43 1.2 DL + 1.2 FL + 0.8 LL CHECKERED 1 -11.025 1124.257 9.524 13.047 -0.081 13.749 1.21 1.21 1.4641
44 1.2 DL + 1.2 FL + 0.8 LL CHECKERED 2 5.971 1102.742 7.707 10.979 -0.082 -5.516 1.18 1.18 1.3924
45 1.2 DL + 1.2 FL + 0.8 LL CHECKERED 3 -3.924 1112.346 14.111 18.252 -0.082 5.724 1.2 1.2 1.44
46 1.2 DL + 1.2 FL + 0.8 LL CHECKERED 4 -1.13 1114.653 3.12 5.774 -0.081 2.509 1.16 1.16 1.3456
NODE LOAD CASE FX FY FZ MX MY MZ B L BXL
203 12 1.4DL -6.307 639.765 4.545 8.672 -0.092 8.414 0.94 0.94 0.8836
13 1.2 DL + 1,6 LL -9.369 866.249 5.406 9.647 -0.091 12.383 1.08 1.08 1.1664
14 1.2 DL + 1,6 LL CHECKERED 1 -4.402 672.977 3.724 7.481 -0.084 6.403 0.94 0.94 0.8836
15 1.2 DL + 1,6 LL CHECKERED 2 -10.351 733.015 5.529 9.521 -0.085 13.162 1.01 1.01 1.0201
16 1.2 DL + 1,6 LL CHECKERED 3 -7.113 702.493 8.837 13.3 -0.085 9.531 0.99 0.99 0.9801
17 1.2 DL + 1,6 LL CHECKERED 4 -7.64 703.499 0.417 3.702 -0.084 10.034 0.96 0.96 0.9216
18 1.2 DL + 1,0 LL + 1.0 SL +X -30.056 822.671 10.667 27.455 -1.062 75.375 1.24 1.24 1.5376
19 1.2 DL + 1.0 LL CHECKERED 1 + 1.0 SL +X -26.952 701.876 9.615 26.101 -1.057 71.637 1.18 1.18 1.3924
20 1.2 DL + 1.0 LL CHECKERED 2 + 1.0 SL +X -30.67 739.4 10.744 27.377 -1.058 75.861 1.21 1.21 1.4641
21 1.2 DL + 1.0 LL CHECKERED 3 + 1.0 SL +X -28.646 720.324 12.811 29.738 -1.058 73.592 1.2 1.2 1.44
22 1.2 DL + 1.0 LL CHECKERED 4 + 1.0 SL +X -28.976 720.953 7.548 23.74 -1.057 73.906 1.19 1.19 1.4161
23 1.2 DL + 1.0 LL + 1.0 SL -X 14.29 671.417 -0.988 -9.822 0.888 -54.487 1.09 1.09 1.1881
24 1.2 DL + 1.0 LL CHECKERED 1 + 1.0 SL -X 17.394 550.622 -2.039 -11.176 0.893 -58.225 1.05 1.05 1.1025
25 1.2 DL + 1.0 LL CHECKERED 2 + 1.0 SL -X 13.677 588.146 -0.911 -9.9 0.892 -54 1.06 1.06 1.1236
26 1.2 DL + 1.0 LL CHECKERED 3 + 1.0 SL -X 15.7 569.069 1.156 -7.539 0.892 -56.27 1.05 1.05 1.1025
27 1.2 DL + 1.0 LL CHECKERED 4 + 1.0 SL -X 15.371 569.698 -4.106 -13.537 0.893 -55.955 1.06 1.06 1.1236
28 1.2 DL + 1.0 LL + 1.0 SL +Z -7.945 787.574 -31.692 -94.042 0.625 7.86 1.23 1.23 1.5129
29 1.2 DL + 1.0 LL CHECKERED 1 + 1.0 SL +Z -4.841 666.779 -32.744 -95.395 0.63 4.122 1.17 1.17 1.3689
30 1.2 DL + 1.0 LL CHECKERED 2 + 1.0 SL +Z -8.559 704.303 -31.615 -94.12 0.629 8.346 1.19 1.19 1.4161
31 1.2 DL + 1.0 LL CHECKERED 3 + 1.0 SL +Z -6.535 685.226 -29.548 -91.758 0.629 6.077 1.18 1.18 1.3924
32 1.2 DL + 1.0 LL CHECKERED 4 + 1.0 SL +Z -6.865 685.855 -34.811 -97.757 0.63 6.391 1.19 1.19 1.4161
33 1.2 DL + 1.0 LL + 1.0 SL -Z -7.82 706.514 41.371 111.675 -0.798 13.029 1.24 1.24 1.5376
34 1.2 DL + 1.0 LL CHECKERED 1 + 1.0 SL -Z -4.716 585.719 40.32 110.321 -0.794 9.291 1.18 1.18 1.3924
35 1.2 DL + 1.0 LL CHECKERED 2 + 1.0 SL -Z -8.434 623.244 41.448 111.596 -0.794 13.515 1.21 1.21 1.4641
36 1.2 DL + 1.0 LL CHECKERED 3 + 1.0 SL -Z -6.41 604.167 43.515 113.958 -0.795 11.246 1.2 1.2 1.44
37 1.2 DL + 1.0 LL CHECKERED 4 + 1.0 SL -Z -6.74 604.796 38.253 107.96 -0.794 11.56 1.19 1.19 1.4161
38 0.9 DL + 1.0 SL +X -26.228 486.905 8.749 24.213 -1.034 70.34 1.09 1.09 1.1881
39 0.9 DL + 1.0 SL -X 18.118 335.65 -2.906 -13.064 0.916 -59.522 0.96 0.96 0.9216
40 0.9 DL + 1.0 SL +Z -4.117 451.807 -33.61 -97.283 0.652 2.824 1.09 1.09 1.1881
41 0.9 DL + 1.0 SL -Z -3.992 370.748 39.453 108.433 -0.771 7.993 1.09 1.09 1.1881
42 1.2 DL + 1.2 FL + 0.8 LL -7.387 707.288 4.651 8.549 -0.085 9.799 0.98 0.98 0.9604
43 1.2 DL + 1.2 FL + 0.8 LL CHECKERED 1 -4.904 610.652 3.81 7.466 -0.081 6.809 0.91 0.91 0.8281
44 1.2 DL + 1.2 FL + 0.8 LL CHECKERED 2 -7.878 640.671 4.713 8.486 -0.082 10.188 0.94 0.94 0.8836
45 1.2 DL + 1.2 FL + 0.8 LL CHECKERED 3 -6.259 625.41 6.366 10.376 -0.082 8.373 0.93 0.93 0.8649
46 1.2 DL + 1.2 FL + 0.8 LL CHECKERED 4 -6.523 625.913 2.156 5.577 -0.081 8.624 0.92 0.92 0.8464
NODE LOAD CASE FX FY FZ MX MY MZ B L BXL
248 12 1.4DL 5.162 1313.063 -4.794 -3.377 -0.092 -4.226 1.26 1.26 1.5876
13 1.2 DL + 1,6 LL 13.156 1907.212 -6.724 -5.551 -0.091 -12.796 1.52 1.52 2.3104
14 1.2 DL + 1,6 LL CHECKERED 1 23.961 1516.349 -6.975 -5.978 -0.084 -25.426 1.39 1.39 1.9321
15 1.2 DL + 1,6 LL CHECKERED 2 -6.361 1474.822 -3.87 -2.48 -0.085 8.974 1.33 1.33 1.7689
16 1.2 DL + 1,6 LL CHECKERED 3 12.172 1503.658 -15.044 -15.128 -0.085 -11.998 1.38 1.38 1.9044
17 1.2 DL + 1,6 LL CHECKERED 4 5.429 1487.514 4.199 6.67 -0.084 -4.454 1.34 1.34 1.7956
18 1.2 DL + 1,0 LL + 1.0 SL +X -15.199 1621.538 -7.669 -10.136 -1.062 62.728 1.49 1.49 2.2201
19 1.2 DL + 1.0 LL CHECKERED 1 + 1.0 SL +X -8.445 1377.248 -7.826 -10.403 -1.057 54.835 1.39 1.39 1.9321
20 1.2 DL + 1.0 LL CHECKERED 2 + 1.0 SL +X -27.397 1351.294 -5.886 -8.217 -1.058 76.335 1.41 1.41 1.9881
21 1.2 DL + 1.0 LL CHECKERED 3 + 1.0 SL +X -15.814 1369.316 -12.87 -16.122 -1.058 63.227 1.41 1.41 1.9881
22 1.2 DL + 1.0 LL CHECKERED 4 + 1.0 SL +X -20.028 1359.226 -0.842 -2.498 -1.057 67.942 1.39 1.39 1.9321
23 1.2 DL + 1.0 LL + 1.0 SL -X 34.962 1606.589 -3.817 1.026 0.888 -81.44 1.5 1.5 2.25
24 1.2 DL + 1.0 LL CHECKERED 1 + 1.0 SL -X 41.715 1362.3 -3.975 0.759 0.893 -89.334 1.43 1.43 2.0449
25 1.2 DL + 1.0 LL CHECKERED 2 + 1.0 SL -X 22.764 1336.346 -2.034 2.946 0.892 -67.834 1.39 1.39 1.9321
26 1.2 DL + 1.0 LL CHECKERED 3 + 1.0 SL -X 34.347 1354.368 -9.018 -4.959 0.892 -80.941 1.42 1.42 2.0164
27 1.2 DL + 1.0 LL CHECKERED 4 + 1.0 SL -X 30.132 1344.278 3.01 8.664 0.893 -76.226 1.41 1.41 1.9881
28 1.2 DL + 1.0 LL + 1.0 SL +Z 11.441 1590.376 -37.947 -91.243 0.625 -16.595 1.53 1.53 2.3409
29 1.2 DL + 1.0 LL CHECKERED 1 + 1.0 SL +Z 18.195 1346.086 -38.105 -91.51 0.63 -24.489 1.46 1.46 2.1316
30 1.2 DL + 1.0 LL CHECKERED 2 + 1.0 SL +Z -0.757 1320.132 -36.164 -89.324 0.629 -2.989 1.41 1.41 1.9881
31 1.2 DL + 1.0 LL CHECKERED 3 + 1.0 SL +Z 10.826 1338.154 -43.148 -97.229 0.629 -16.097 1.45 1.45 2.1025
32 1.2 DL + 1.0 LL CHECKERED 4 + 1.0 SL +Z 6.612 1328.064 -31.121 -83.605 0.63 -11.382 1.42 1.42 2.0164
33 1.2 DL + 1.0 LL + 1.0 SL -Z 8.322 1637.751 26.461 82.133 -0.798 -2.116 1.52 1.52 2.3104
34 1.2 DL + 1.0 LL CHECKERED 1 + 1.0 SL -Z 15.075 1393.462 26.304 81.866 -0.794 -10.01 1.44 1.44 2.0736
35 1.2 DL + 1.0 LL CHECKERED 2 + 1.0 SL -Z -3.876 1367.508 28.245 84.053 -0.794 11.49 1.44 1.44 2.0736
36 1.2 DL + 1.0 LL CHECKERED 3 + 1.0 SL -Z 7.706 1385.53 21.26 76.148 -0.795 -1.617 1.42 1.42 2.0164
37 1.2 DL + 1.0 LL CHECKERED 4 + 1.0 SL -Z 3.492 1375.44 33.288 89.771 -0.794 3.097 1.44 1.44 2.0736
38 0.9 DL + 1.0 SL +X -21.762 851.586 -5.008 -7.752 -1.034 69.368 1.2 1.2 1.44
39 0.9 DL + 1.0 SL -X 28.398 836.638 -1.156 3.41 0.916 -74.801 1.2 1.2 1.44
40 0.9 DL + 1.0 SL +Z 4.878 820.424 -35.286 -88.859 0.652 -9.956 1.23 1.23 1.5129
41 0.9 DL + 1.0 SL -Z 1.758 867.8 29.122 84.517 -0.771 4.523 1.23 1.23 1.5129
42 1.2 DL + 1.2 FL + 0.8 LL 8.791 1516.374 -5.413 -4.202 -0.085 -8.21 1.35 1.35 1.8225
43 1.2 DL + 1.2 FL + 0.8 LL CHECKERED 1 14.193 1320.942 -5.538 -4.416 -0.081 -14.525 1.28 1.28 1.6384
44 1.2 DL + 1.2 FL + 0.8 LL CHECKERED 2 -0.968 1300.179 -3.986 -2.667 -0.082 2.675 1.24 1.24 1.5376
45 1.2 DL + 1.2 FL + 0.8 LL CHECKERED 3 8.299 1314.596 -9.573 -8.991 -0.082 -7.811 1.28 1.28 1.6384
46 1.2 DL + 1.2 FL + 0.8 LL CHECKERED 4 4.927 1306.524 0.049 1.908 -0.081 -4.039 1.25 1.25 1.5625
NODE LOAD CASE FX FY FZ MX MY MZ B L BXL
249 12 1.4DL -6.275 1311.715 -4.617 -2.738 -0.092 8.743 1.26 1.26 1.5876
13 1.2 DL + 1,6 LL -14.547 1905.839 -6.559 -4.931 -0.091 18.616 1.53 1.53 2.3409
14 1.2 DL + 1,6 LL CHECKERED 1 -25.165 1515.206 -6.875 -5.466 -0.084 30.278 1.4 1.4 1.96
15 1.2 DL + 1,6 LL CHECKERED 2 5.226 1473.608 -3.662 -1.842 -0.085 -4.164 1.32 1.32 1.7424
16 1.2 DL + 1,6 LL CHECKERED 3 -13.47 1502.436 -14.926 -14.589 -0.085 17.077 1.38 1.38 1.9044
17 1.2 DL + 1,6 LL CHECKERED 4 -6.469 1486.379 4.389 7.281 -0.084 9.037 1.35 1.35 1.8225
18 1.2 DL + 1,0 LL + 1.0 SL +X -36.196 1603.986 -5.182 -2.275 -1.062 86.538 1.51 1.51 2.2801
19 1.2 DL + 1.0 LL CHECKERED 1 + 1.0 SL +X -42.833 1359.841 -5.379 -2.609 -1.057 93.827 1.43 1.43 2.0449
20 1.2 DL + 1.0 LL CHECKERED 2 + 1.0 SL +X -23.839 1333.842 -3.371 -0.344 -1.058 72.3 1.39 1.39 1.9321
21 1.2 DL + 1.0 LL CHECKERED 3 + 1.0 SL +X -35.524 1351.86 -10.411 -8.311 -1.058 85.576 1.43 1.43 2.0449
22 1.2 DL + 1.0 LL CHECKERED 4 + 1.0 SL +X -31.148 1341.824 1.661 5.358 -1.057 80.551 1.41 1.41 1.9881
23 1.2 DL + 1.0 LL + 1.0 SL -X 13.979 1621.557 -5.985 -5.649 0.888 -57.648 1.48 1.48 2.1904
24 1.2 DL + 1.0 LL CHECKERED 1 + 1.0 SL -X 7.342 1377.412 -6.182 -5.983 0.893 -50.359 1.38 1.38 1.9044
25 1.2 DL + 1.0 LL CHECKERED 2 + 1.0 SL -X 26.337 1351.413 -4.175 -3.718 0.892 -71.885 1.4 1.4 1.96
26 1.2 DL + 1.0 LL CHECKERED 3 + 1.0 SL -X 14.652 1369.431 -11.215 -11.685 0.892 -58.609 1.4 1.4 1.96
27 1.2 DL + 1.0 LL CHECKERED 4 + 1.0 SL -X 19.027 1359.395 0.857 1.984 0.893 -63.635 1.39 1.39 1.9321
28 1.2 DL + 1.0 LL + 1.0 SL +Z -9.541 1590.631 -39.125 -95.546 0.625 7.197 1.53 1.53 2.3409
29 1.2 DL + 1.0 LL CHECKERED 1 + 1.0 SL +Z -16.178 1346.486 -39.322 -95.88 0.63 14.486 1.44 1.44 2.0736
30 1.2 DL + 1.0 LL CHECKERED 2 + 1.0 SL +Z 2.816 1320.487 -37.315 -93.615 0.629 -7.041 1.43 1.43 2.0449
31 1.2 DL + 1.0 LL CHECKERED 3 + 1.0 SL +Z -8.869 1338.504 -44.354 -101.582 0.629 6.235 1.44 1.44 2.0736
32 1.2 DL + 1.0 LL CHECKERED 4 + 1.0 SL +Z -4.493 1328.469 -32.282 -87.913 0.63 1.21 1.41 1.41 1.9881
33 1.2 DL + 1.0 LL + 1.0 SL -Z -12.676 1634.913 27.958 87.622 -0.798 21.693 1.56 1.56 2.4336 CRITICAL NODE
34 1.2 DL + 1.0 LL CHECKERED 1 + 1.0 SL -Z -19.313 1390.768 27.761 87.287 -0.794 28.982 1.47 1.47 2.1609
35 1.2 DL + 1.0 LL CHECKERED 2 + 1.0 SL -Z -0.319 1364.769 29.769 89.553 -0.794 7.456 1.44 1.44 2.0736
36 1.2 DL + 1.0 LL CHECKERED 3 + 1.0 SL -Z -12.003 1382.786 22.729 81.585 -0.795 20.732 1.45 1.45 2.1025
37 1.2 DL + 1.0 LL CHECKERED 4 + 1.0 SL -Z -7.628 1372.75 34.801 95.255 -0.794 15.706 1.46 1.46 2.1316
38 0.9 DL + 1.0 SL +X -29.122 834.46 -2.566 -0.073 -1.034 77.713 1.2 1.2 1.44
39 0.9 DL + 1.0 SL -X 21.053 852.031 -3.37 -3.447 0.916 -66.472 1.19 1.19 1.4161
40 0.9 DL + 1.0 SL +Z -2.467 821.105 -36.509 -93.344 0.652 -1.628 1.23 1.23 1.5129
41 0.9 DL + 1.0 SL -Z -5.602 865.386 30.574 89.824 -0.771 12.868 1.26 1.26 1.5876
42 1.2 DL + 1.2 FL + 0.8 LL -9.962 1515.105 -5.255 -3.622 -0.085 13.054 1.36 1.36 1.8496
43 1.2 DL + 1.2 FL + 0.8 LL CHECKERED 1 -15.271 1319.789 -5.413 -3.889 -0.081 18.885 1.29 1.29 1.6641
44 1.2 DL + 1.2 FL + 0.8 LL CHECKERED 2 -0.076 1298.99 -3.807 -2.077 -0.082 1.664 1.24 1.24 1.5376
45 1.2 DL + 1.2 FL + 0.8 LL CHECKERED 3 -9.424 1313.404 -9.439 -8.451 -0.082 12.284 1.28 1.28 1.6384
46 1.2 DL + 1.2 FL + 0.8 LL CHECKERED 4 -5.923 1305.376 0.219 2.484 -0.081 8.264 1.26 1.26 1.5876
NODE LOAD CASE FX FY FZ MX MY MZ B L BXL
250 12 1.4DL -0.338 995.509 0.052 2.921 -0.092 2.01 1.09 1.09 1.1881
13 1.2 DL + 1,6 LL -0.339 1456.167 -0.302 2.525 -0.091 2.506 1.31 1.31 1.7161
14 1.2 DL + 1,6 LL CHECKERED 1 7.863 1122.083 -0.102 2.545 -0.084 -7.173 1.17 1.17 1.3689
15 1.2 DL + 1,6 LL CHECKERED 2 -8.492 1124.146 -0.153 2.473 -0.085 11.39 1.18 1.18 1.3924
16 1.2 DL + 1,6 LL CHECKERED 3 -0.275 1116.352 -5.605 -3.682 -0.085 2.115 1.16 1.16 1.3456
17 1.2 DL + 1,6 LL CHECKERED 4 -0.353 1129.878 5.349 8.7 -0.084 2.102 1.18 1.18 1.3924
18 1.2 DL + 1,0 LL + 1.0 SL +X -25.691 1220.457 2.578 10.723 -1.062 74.626 1.37 1.37 1.8769
19 1.2 DL + 1.0 LL CHECKERED 1 + 1.0 SL +X -20.565 1011.655 2.703 10.736 -1.057 68.577 1.27 1.27 1.6129
20 1.2 DL + 1.0 LL CHECKERED 2 + 1.0 SL +X -30.787 1012.944 2.671 10.691 -1.058 80.178 1.29 1.29 1.6641
21 1.2 DL + 1.0 LL CHECKERED 3 + 1.0 SL +X -25.651 1008.073 -0.736 6.844 -1.058 74.382 1.27 1.27 1.6129
22 1.2 DL + 1.0 LL CHECKERED 4 + 1.0 SL +X -25.7 1016.526 6.11 14.583 -1.057 74.373 1.29 1.29 1.6641
23 1.2 DL + 1.0 LL + 1.0 SL -X 25.05 1239.721 -2.922 -5.69 0.888 -70.202 1.36 1.36 1.8496
24 1.2 DL + 1.0 LL CHECKERED 1 + 1.0 SL -X 30.177 1030.919 -2.797 -5.677 0.893 -76.251 1.29 1.29 1.6641
25 1.2 DL + 1.0 LL CHECKERED 2 + 1.0 SL -X 19.955 1032.208 -2.829 -5.722 0.892 -64.649 1.26 1.26 1.5876
26 1.2 DL + 1.0 LL CHECKERED 3 + 1.0 SL -X 25.09 1027.337 -6.236 -9.569 0.892 -70.446 1.28 1.28 1.6384
27 1.2 DL + 1.0 LL CHECKERED 4 + 1.0 SL -X 25.041 1035.791 0.61 -1.83 0.893 -70.454 1.27 1.27 1.6129
28 1.2 DL + 1.0 LL + 1.0 SL +Z 1.311 1217.643 -35.116 -93.472 0.625 -5.109 1.39 1.39 1.9321
29 1.2 DL + 1.0 LL CHECKERED 1 + 1.0 SL +Z 6.437 1008.841 -34.991 -93.46 0.63 -11.158 1.32 1.32 1.7424
30 1.2 DL + 1.0 LL CHECKERED 2 + 1.0 SL +Z -3.784 1010.13 -35.023 -93.505 0.629 0.444 1.3 1.3 1.69
31 1.2 DL + 1.0 LL CHECKERED 3 + 1.0 SL +Z 1.351 1005.258 -38.43 -97.352 0.629 -5.353 1.31 1.31 1.7161
32 1.2 DL + 1.0 LL CHECKERED 4 + 1.0 SL +Z 1.302 1013.712 -31.584 -89.613 0.63 -5.361 1.3 1.3 1.69
33 1.2 DL + 1.0 LL + 1.0 SL -Z -1.952 1242.536 34.772 98.506 -0.798 9.533 1.41 1.41 1.9881
34 1.2 DL + 1.0 LL CHECKERED 1 + 1.0 SL -Z 3.174 1033.733 34.896 98.519 -0.794 3.484 1.32 1.32 1.7424
35 1.2 DL + 1.0 LL CHECKERED 2 + 1.0 SL -Z -7.047 1035.023 34.865 98.474 -0.794 15.086 1.34 1.34 1.7956
36 1.2 DL + 1.0 LL CHECKERED 3 + 1.0 SL -Z -1.912 1030.151 31.458 94.627 -0.795 9.289 1.32 1.32 1.7424
37 1.2 DL + 1.0 LL CHECKERED 4 + 1.0 SL -Z -1.961 1038.605 38.303 102.366 -0.794 9.281 1.34 1.34 1.7956
38 0.9 DL + 1.0 SL +X -25.588 630.338 2.783 10.084 -1.034 73.706 1.12 1.12 1.2544
39 0.9 DL + 1.0 SL -X 25.154 649.602 -2.717 -6.329 0.916 -71.122 1.12 1.12 1.2544
40 0.9 DL + 1.0 SL +Z 1.414 627.524 -34.91 -94.112 0.652 -6.029 1.16 1.16 1.3456
41 0.9 DL + 1.0 SL -Z -1.849 652.416 34.977 97.867 -0.771 8.613 1.18 1.18 1.3924
42 1.2 DL + 1.2 FL + 0.8 LL -0.314 1154.738 -0.126 2.529 -0.085 2.113 1.17 1.17 1.3689
43 1.2 DL + 1.2 FL + 0.8 LL CHECKERED 1 3.787 987.696 -0.026 2.539 -0.081 -2.726 1.09 1.09 1.1881
44 1.2 DL + 1.2 FL + 0.8 LL CHECKERED 2 -4.39 988.727 -0.052 2.503 -0.082 6.555 1.1 1.1 1.21
45 1.2 DL + 1.2 FL + 0.8 LL CHECKERED 3 -0.282 984.83 -2.778 -0.574 -0.082 1.918 1.08 1.08 1.1664
46 1.2 DL + 1.2 FL + 0.8 LL CHECKERED 4 -0.321 991.593 2.699 5.617 -0.081 1.911 1.1 1.1 1.21
NODE LOAD CASE FX FY FZ MX MY MZ B L BXL
251 12 1.4DL -7.401 1049.417 -4.573 -1.958 -0.092 10.019 1.14 1.14 1.2996
13 1.2 DL + 1,6 LL -8.334 1483.742 -5.24 -2.714 -0.091 11.571 1.34 1.34 1.7956
14 1.2 DL + 1,6 LL CHECKERED 1 -13.781 1168.96 -3.831 -1.351 -0.084 17.37 1.21 1.21 1.4641
15 1.2 DL + 1,6 LL CHECKERED 2 -0.861 1168.64 -5.339 -3.071 -0.085 2.737 1.18 1.18 1.3924
16 1.2 DL + 1,6 LL CHECKERED 3 -6.642 1168.434 -10.785 -9.219 -0.085 9.334 1.21 1.21 1.4641
17 1.2 DL + 1,6 LL CHECKERED 4 -8 1169.165 1.615 4.797 -0.084 10.772 1.21 1.21 1.4641
18 1.2 DL + 1,0 LL + 1.0 SL +X -33.629 1258.241 -0.912 10.966 -1.062 83.627 1.39 1.39 1.9321
19 1.2 DL + 1.0 LL CHECKERED 1 + 1.0 SL +X -37.034 1061.502 -0.031 11.817 -1.057 87.251 1.33 1.33 1.7689
20 1.2 DL + 1.0 LL CHECKERED 2 + 1.0 SL +X -28.959 1061.302 -0.974 10.743 -1.058 78.106 1.31 1.31 1.7161
21 1.2 DL + 1.0 LL CHECKERED 3 + 1.0 SL +X -32.572 1061.174 -4.378 6.9 -1.058 82.229 1.31 1.31 1.7161
22 1.2 DL + 1.0 LL CHECKERED 4 + 1.0 SL +X -33.421 1061.63 3.373 15.66 -1.057 83.128 1.33 1.33 1.7689
23 1.2 DL + 1.0 LL + 1.0 SL -X 18.454 1271.062 -8.578 -15.617 0.888 -62.723 1.37 1.37 1.8769
24 1.2 DL + 1.0 LL CHECKERED 1 + 1.0 SL -X 15.05 1074.323 -7.697 -14.765 0.893 -59.098 1.29 1.29 1.6641
25 1.2 DL + 1.0 LL CHECKERED 2 + 1.0 SL -X 23.125 1074.123 -8.639 -15.84 0.892 -68.244 1.31 1.31 1.7161
26 1.2 DL + 1.0 LL CHECKERED 3 + 1.0 SL -X 19.512 1073.995 -12.043 -19.682 0.892 -64.12 1.3 1.3 1.69
27 1.2 DL + 1.0 LL CHECKERED 4 + 1.0 SL -X 18.663 1074.451 -4.293 -10.922 0.893 -63.222 1.29 1.29 1.6641
28 1.2 DL + 1.0 LL + 1.0 SL +Z -5.931 1255.213 -40.983 -102.598 0.625 3.103 1.41 1.41 1.9881
29 1.2 DL + 1.0 LL CHECKERED 1 + 1.0 SL +Z -9.336 1058.474 -40.103 -101.747 0.63 6.727 1.34 1.34 1.7956
30 1.2 DL + 1.0 LL CHECKERED 2 + 1.0 SL +Z -1.261 1058.274 -41.045 -102.822 0.629 -2.418 1.34 1.34 1.7956
31 1.2 DL + 1.0 LL CHECKERED 3 + 1.0 SL +Z -4.874 1058.145 -44.449 -106.664 0.629 1.705 1.34 1.34 1.7956
32 1.2 DL + 1.0 LL CHECKERED 4 + 1.0 SL +Z -5.723 1058.602 -36.698 -97.904 0.63 2.604 1.33 1.33 1.7689
33 1.2 DL + 1.0 LL + 1.0 SL -Z -9.244 1274.09 31.494 97.948 -0.798 17.801 1.43 1.43 2.0449
34 1.2 DL + 1.0 LL CHECKERED 1 + 1.0 SL -Z -12.648 1077.351 32.374 98.799 -0.794 21.425 1.37 1.37 1.8769
35 1.2 DL + 1.0 LL CHECKERED 2 + 1.0 SL -Z -4.573 1077.151 31.432 97.724 -0.794 12.28 1.35 1.35 1.8225
36 1.2 DL + 1.0 LL CHECKERED 3 + 1.0 SL -Z -8.186 1077.023 28.028 93.882 -0.795 16.403 1.35 1.35 1.8225
37 1.2 DL + 1.0 LL CHECKERED 4 + 1.0 SL -Z -9.035 1077.48 35.778 102.642 -0.794 17.302 1.37 1.37 1.8769
38 0.9 DL + 1.0 SL +X -30.8 668.215 0.893 12.033 -1.034 79.616 1.16 1.16 1.3456
39 0.9 DL + 1.0 SL -X 21.284 681.036 -6.772 -14.55 0.916 -66.734 1.14 1.14 1.2996
40 0.9 DL + 1.0 SL +Z -3.101 665.187 -39.178 -101.532 0.652 -0.908 1.18 1.18 1.3924
41 0.9 DL + 1.0 SL -Z -6.414 684.064 33.299 99.014 -0.771 13.79 1.21 1.21 1.4641
42 1.2 DL + 1.2 FL + 0.8 LL -7.338 1191.629 -4.578 -2.184 -0.085 10.078 1.21 1.21 1.4641
43 1.2 DL + 1.2 FL + 0.8 LL CHECKERED 1 -10.062 1034.238 -3.874 -1.503 -0.081 12.978 1.14 1.14 1.2996
44 1.2 DL + 1.2 FL + 0.8 LL CHECKERED 2 -3.602 1034.078 -4.628 -2.363 -0.082 5.661 1.12 1.12 1.2544
45 1.2 DL + 1.2 FL + 0.8 LL CHECKERED 3 -6.492 1033.975 -7.351 -5.437 -0.082 8.96 1.14 1.14 1.2996
46 1.2 DL + 1.2 FL + 0.8 LL CHECKERED 4 -7.171 1034.341 -1.151 1.571 -0.081 9.679 1.13 1.13 1.2769
NODE LOAD CASE FX FY FZ MX MY MZ B L BXL
252 12 1.4DL -2.511 594.005 0.748 4.367 -0.092 4.474 0.88 0.88 0.7744
13 1.2 DL + 1,6 LL -5.666 801.17 -0.29 3.188 -0.091 8.545 1.01 1.01 1.0201
14 1.2 DL + 1,6 LL CHECKERED 1 -1.068 620.047 1.165 4.579 -0.084 2.954 0.89 0.89 0.7921
15 1.2 DL + 1,6 LL CHECKERED 2 -6.726 675.574 -0.845 2.293 -0.085 9.388 0.94 0.94 0.8836
16 1.2 DL + 1,6 LL CHECKERED 3 -3.97 651.397 -3.443 -0.624 -0.085 6.305 0.9 0.9 0.81
17 1.2 DL + 1,6 LL CHECKERED 4 -3.824 644.224 3.762 7.496 -0.084 6.037 0.93 0.93 0.8649
18 1.2 DL + 1,0 LL + 1.0 SL +X -27.284 758.454 5.906 22.057 -1.062 76.432 1.21 1.21 1.4641
19 1.2 DL + 1.0 LL CHECKERED 1 + 1.0 SL +X -24.41 645.253 6.815 22.926 -1.057 72.937 1.16 1.16 1.3456
20 1.2 DL + 1.0 LL CHECKERED 2 + 1.0 SL +X -27.947 679.957 5.558 21.497 -1.058 76.958 1.18 1.18 1.3924
21 1.2 DL + 1.0 LL CHECKERED 3 + 1.0 SL +X -26.224 664.846 3.935 19.674 -1.058 75.031 1.16 1.16 1.3456
22 1.2 DL + 1.0 LL CHECKERED 4 + 1.0 SL +X -26.133 660.363 8.438 24.749 -1.057 74.864 1.11 1.11 1.2321
23 1.2 DL + 1.0 LL + 1.0 SL -X 18.588 624.869 -5.787 -15.264 0.888 -62.874 1.11 1.11 1.2321
24 1.2 DL + 1.0 LL CHECKERED 1 + 1.0 SL -X 21.461 511.667 -4.878 -14.395 0.893 -66.368 1.06 1.06 1.1236
25 1.2 DL + 1.0 LL CHECKERED 2 + 1.0 SL -X 17.925 546.371 -6.134 -15.823 0.892 -62.347 1.07 1.07 1.1449
26 1.2 DL + 1.0 LL CHECKERED 3 + 1.0 SL -X 19.648 531.261 -7.758 -17.646 0.892 -64.274 1.08 1.08 1.1664
27 1.2 DL + 1.0 LL CHECKERED 4 + 1.0 SL -X 19.739 526.778 -3.254 -12.572 0.893 -64.441 1.06 1.06 1.1236
28 1.2 DL + 1.0 LL + 1.0 SL +Z -3.118 652.356 -36.611 -99.618 0.625 -0.086 1.17 1.17 1.3689
29 1.2 DL + 1.0 LL CHECKERED 1 + 1.0 SL +Z -0.244 539.154 -35.702 -98.749 0.63 -3.581 1.13 1.13 1.2769
30 1.2 DL + 1.0 LL CHECKERED 2 + 1.0 SL +Z -3.781 573.858 -36.958 -100.178 0.629 0.44 1.14 1.14 1.2996
31 1.2 DL + 1.0 LL CHECKERED 3 + 1.0 SL +Z -2.058 558.747 -38.581 -102.001 0.629 -1.487 1.14 1.14 1.2996
32 1.2 DL + 1.0 LL CHECKERED 4 + 1.0 SL +Z -1.967 554.265 -34.078 -96.926 0.63 -1.654 1.12 1.12 1.2544
33 1.2 DL + 1.0 LL + 1.0 SL -Z -5.578 730.968 36.729 106.411 -0.798 13.645 1.24 1.24 1.5376
34 1.2 DL + 1.0 LL CHECKERED 1 + 1.0 SL -Z -2.704 617.766 37.638 107.28 -0.794 10.15 1.19 1.19 1.4161
35 1.2 DL + 1.0 LL CHECKERED 2 + 1.0 SL -Z -6.241 652.47 36.382 105.852 -0.794 14.171 1.21 1.21 1.4641
36 1.2 DL + 1.0 LL CHECKERED 3 + 1.0 SL -Z -4.518 637.359 34.759 104.029 -0.795 12.244 1.2 1.2 1.44
37 1.2 DL + 1.0 LL CHECKERED 4 + 1.0 SL -Z -4.427 632.877 39.262 109.103 -0.794 12.077 1.2 1.2 1.44
38 0.9 DL + 1.0 SL +X -24.55 448.653 6.327 21.468 -1.034 72.529 1.07 1.07 1.1449
39 0.9 DL + 1.0 SL -X 21.322 315.068 -5.365 -15.853 0.916 -66.776 0.98 0.98 0.9604
40 0.9 DL + 1.0 SL +Z -0.384 342.555 -36.189 -100.207 0.652 -3.989 1.05 1.05 1.1025
41 0.9 DL + 1.0 SL -Z -2.844 421.167 37.151 105.822 -0.771 9.742 1.11 1.11 1.2321
42 1.2 DL + 1.2 FL + 0.8 LL -3.908 655.181 0.176 3.475 -0.085 6.189 0.92 0.92 0.8464
43 1.2 DL + 1.2 FL + 0.8 LL CHECKERED 1 -1.609 564.62 0.903 4.17 -0.081 3.394 0.85 0.85 0.7225
44 1.2 DL + 1.2 FL + 0.8 LL CHECKERED 2 -4.439 592.383 -0.102 3.027 -0.082 6.61 0.88 0.88 0.7744
45 1.2 DL + 1.2 FL + 0.8 LL CHECKERED 3 -3.06 580.295 -1.4 1.569 -0.082 5.069 0.86 0.86 0.7396
46 1.2 DL + 1.2 FL + 0.8 LL CHECKERED 4 -2.988 576.709 2.202 5.629 -0.081 4.935 0.87 0.87 0.7569
NODE LOAD CASE FX FY FZ MX MY MZ B L BXL
297 12 1.4DL 1.716 585.229 -1.423 0.445 -0.092 -0.027 0.83 0.83 0.6889
13 1.2 DL + 1,6 LL 3.577 859.288 -5.689 -4.377 -0.091 -1.646 1.02 1.02 1.0404
14 1.2 DL + 1,6 LL CHECKERED 1 9.335 674.545 -4.466 -3.134 -0.084 -8.577 0.94 0.94 0.8836
15 1.2 DL + 1,6 LL CHECKERED 2 -4.287 668.261 -2.452 -0.872 -0.085 6.891 0.92 0.92 0.8464
16 1.2 DL + 1,6 LL CHECKERED 3 0.711 637.55 0.845 2.888 -0.085 1.267 0.88 0.88 0.7744
17 1.2 DL + 1,6 LL CHECKERED 4 4.337 705.256 -7.763 -6.894 -0.084 -2.952 0.95 0.95 0.9025
18 1.2 DL + 1,0 LL + 1.0 SL +X -23.68 741.069 -5.65 -7.847 -1.062 75.706 1.17 1.17 1.3689
19 1.2 DL + 1.0 LL CHECKERED 1 + 1.0 SL +X -20.081 625.605 -4.887 -7.07 -1.057 71.374 1.11 1.11 1.2321
20 1.2 DL + 1.0 LL CHECKERED 2 + 1.0 SL +X -28.596 621.677 -3.628 -5.657 -1.058 81.042 1.13 1.13 1.2769
21 1.2 DL + 1.0 LL CHECKERED 3 + 1.0 SL +X -25.471 602.483 -1.567 -3.306 -1.058 77.526 1.1 1.1 1.21
22 1.2 DL + 1.0 LL CHECKERED 4 + 1.0 SL +X -23.205 644.799 -6.947 -9.42 -1.057 74.889 1.13 1.13 1.2769
23 1.2 DL + 1.0 LL + 1.0 SL -X 29.255 709.26 -2.375 2.662 0.888 -77.78 1.15 1.15 1.3225
24 1.2 DL + 1.0 LL CHECKERED 1 + 1.0 SL -X 32.854 593.795 -1.611 3.439 0.893 -82.112 1.11 1.11 1.2321
25 1.2 DL + 1.0 LL CHECKERED 2 + 1.0 SL -X 24.34 589.868 -0.352 4.852 0.892 -72.445 1.09 1.09 1.1881
26 1.2 DL + 1.0 LL CHECKERED 3 + 1.0 SL -X 27.464 570.673 1.708 7.203 0.892 -75.96 1.1 1.1 1.21
27 1.2 DL + 1.0 LL CHECKERED 4 + 1.0 SL -X 29.73 612.99 -3.671 1.089 0.893 -78.597 1.11 1.11 1.2321
28 1.2 DL + 1.0 LL + 1.0 SL +Z 5.174 785.677 -32.713 -85.308 0.625 -11.467 1.22 1.22 1.4884
29 1.2 DL + 1.0 LL CHECKERED 1 + 1.0 SL +Z 8.773 670.213 -31.949 -84.531 0.63 -15.798 1.18 1.18 1.3924
30 1.2 DL + 1.0 LL CHECKERED 2 + 1.0 SL +Z 0.258 666.286 -30.69 -83.117 0.629 -6.131 1.15 1.15 1.3225
31 1.2 DL + 1.0 LL CHECKERED 3 + 1.0 SL +Z 3.382 647.091 -28.63 -80.767 0.629 -9.646 1.15 1.15 1.3225
32 1.2 DL + 1.0 LL CHECKERED 4 + 1.0 SL +Z 5.649 689.408 -34.01 -86.881 0.63 -12.283 1.18 1.18 1.3924
33 1.2 DL + 1.0 LL + 1.0 SL -Z 0.401 664.651 24.688 80.123 -0.798 9.392 1.15 1.15 1.3225
34 1.2 DL + 1.0 LL CHECKERED 1 + 1.0 SL -Z 4 549.187 25.452 80.9 -0.794 5.06 1.09 1.09 1.1881
35 1.2 DL + 1.0 LL CHECKERED 2 + 1.0 SL -Z -4.514 545.26 26.711 82.313 -0.794 14.728 1.12 1.12 1.2544
36 1.2 DL + 1.0 LL CHECKERED 3 + 1.0 SL -Z -1.39 526.065 28.771 84.664 -0.795 11.212 1.11 1.11 1.2321
37 1.2 DL + 1.0 LL CHECKERED 4 + 1.0 SL -Z 0.876 568.382 23.391 78.55 -0.794 8.576 1.1 1.1 1.21
38 0.9 DL + 1.0 SL +X -25.364 392.123 -2.552 -4.968 -1.034 76.726 1.01 1.01 1.0201
39 0.9 DL + 1.0 SL -X 27.571 360.314 0.723 5.541 0.916 -76.76 1 1 1
40 0.9 DL + 1.0 SL +Z 3.49 436.731 -29.615 -82.429 0.652 -10.447 1.06 1.06 1.1236
41 0.9 DL + 1.0 SL -Z -1.283 315.705 27.786 83.002 -0.771 10.412 1.01 1.01 1.0201
42 1.2 DL + 1.2 FL + 0.8 LL 2.525 680.383 -3.452 -1.979 -0.085 -0.838 0.9 0.9 0.81
43 1.2 DL + 1.2 FL + 0.8 LL CHECKERED 1 5.405 588.012 -2.841 -1.357 -0.081 -4.303 0.86 0.86 0.7396
44 1.2 DL + 1.2 FL + 0.8 LL CHECKERED 2 -1.407 584.87 -1.833 -0.227 -0.082 3.431 0.85 0.85 0.7225
45 1.2 DL + 1.2 FL + 0.8 LL CHECKERED 3 1.092 569.514 -0.185 1.654 -0.082 0.619 0.83 0.83 0.6889
46 1.2 DL + 1.2 FL + 0.8 LL CHECKERED 4 2.905 603.367 -4.489 -3.238 -0.081 -1.491 0.86 0.86 0.7396
NODE LOAD CASE FX FY FZ MX MY MZ B L BXL
298 12 1.4DL -3.071 582.779 -1.266 1.061 -0.092 5.401 0.86 0.86 0.7396
13 1.2 DL + 1,6 LL -5.203 856.105 -5.541 -3.777 -0.091 8.309 1.04 1.04 1.0816
14 1.2 DL + 1,6 LL CHECKERED 1 -10.709 671.874 -4.359 -2.613 -0.084 14.152 0.95 0.95 0.9025
15 1.2 DL + 1,6 LL CHECKERED 2 2.882 665.735 -2.279 -0.273 -0.085 -1.238 0.89 0.89 0.7921
16 1.2 DL + 1,6 LL CHECKERED 3 -2.199 634.77 0.967 3.433 -0.085 4.566 0.9 0.9 0.81
17 1.2 DL + 1,6 LL CHECKERED 4 -5.628 702.838 -7.605 -6.319 -0.084 8.347 0.96 0.96 0.9216
18 1.2 DL + 1,0 LL + 1.0 SL +X -30.708 709.367 -3.618 -0.502 -1.062 83.674 1.16 1.16 1.3456
19 1.2 DL + 1.0 LL CHECKERED 1 + 1.0 SL +X -34.149 594.222 -2.879 0.225 -1.057 87.326 1.12 1.12 1.2544
20 1.2 DL + 1.0 LL CHECKERED 2 + 1.0 SL +X -25.655 590.385 -1.579 1.687 -1.058 77.707 1.1 1.1 1.21
21 1.2 DL + 1.0 LL CHECKERED 3 + 1.0 SL +X -28.83 571.032 0.45 4.004 -1.058 81.335 1.1 1.1 1.21
22 1.2 DL + 1.0 LL CHECKERED 4 + 1.0 SL +X -30.974 613.575 -4.908 -2.091 -1.057 83.698 1.12 1.12 1.2544
23 1.2 DL + 1.0 LL + 1.0 SL -X 22.231 735.409 -4.122 -3.537 0.888 -69.816 1.14 1.14 1.2996
24 1.2 DL + 1.0 LL CHECKERED 1 + 1.0 SL -X 18.789 620.264 -3.383 -2.809 0.893 -66.164 1.08 1.08 1.1664
25 1.2 DL + 1.0 LL CHECKERED 2 + 1.0 SL -X 27.284 616.427 -2.084 -1.347 0.892 -75.783 1.1 1.1 1.21
26 1.2 DL + 1.0 LL CHECKERED 3 + 1.0 SL -X 24.108 597.075 -0.055 0.969 0.892 -72.155 1.08 1.08 1.1664
27 1.2 DL + 1.0 LL CHECKERED 4 + 1.0 SL -X 21.964 639.617 -5.412 -5.125 0.893 -69.792 1.11 1.11 1.2321
28 1.2 DL + 1.0 LL + 1.0 SL +Z -1.852 794.161 -33.609 -89.291 0.625 -3.5 1.21 1.21 1.4641
29 1.2 DL + 1.0 LL CHECKERED 1 + 1.0 SL +Z -5.294 679.017 -32.87 -88.564 0.63 0.151 1.16 1.16 1.3456
30 1.2 DL + 1.0 LL CHECKERED 2 + 1.0 SL +Z 3.201 675.18 -31.57 -87.102 0.629 -9.467 1.17 1.17 1.3689
31 1.2 DL + 1.0 LL CHECKERED 3 + 1.0 SL +Z 0.025 655.827 -29.541 -84.786 0.629 -5.84 1.15 1.15 1.3225
32 1.2 DL + 1.0 LL CHECKERED 4 + 1.0 SL +Z -2.118 698.37 -34.899 -90.88 0.63 -3.476 1.18 1.18 1.3924
33 1.2 DL + 1.0 LL + 1.0 SL -Z -6.625 650.614 25.869 85.253 -0.798 17.359 1.17 1.17 1.3689
34 1.2 DL + 1.0 LL CHECKERED 1 + 1.0 SL -Z -10.067 535.469 26.608 85.98 -0.794 21.01 1.14 1.14 1.2996
35 1.2 DL + 1.0 LL CHECKERED 2 + 1.0 SL -Z -1.572 531.632 27.908 87.442 -0.794 11.391 1.12 1.12 1.2544
36 1.2 DL + 1.0 LL CHECKERED 3 + 1.0 SL -Z -4.748 512.28 29.937 89.758 -0.795 15.019 1.12 1.12 1.2544
37 1.2 DL + 1.0 LL CHECKERED 4 + 1.0 SL -Z -6.891 554.822 24.579 83.664 -0.794 17.382 1.13 1.13 1.2769
38 0.9 DL + 1.0 SL +X -28.443 361.623 -0.562 2.199 -1.034 80.217 1 1 1
39 0.9 DL + 1.0 SL -X 24.495 387.665 -1.066 -0.835 0.916 -73.273 0.99 0.99 0.9801
40 0.9 DL + 1.0 SL +Z 0.412 446.417 -30.553 -86.59 0.652 -6.957 1.07 1.07 1.1449
41 0.9 DL + 1.0 SL -Z -4.36 302.87 28.925 87.954 -0.771 13.902 1.03 1.03 1.0609
42 1.2 DL + 1.2 FL + 0.8 LL -3.916 677.748 -3.312 -1.418 -0.085 6.466 0.92 0.92 0.8464
43 1.2 DL + 1.2 FL + 0.8 LL CHECKERED 1 -6.669 585.632 -2.72 -0.836 -0.081 9.387 0.88 0.88 0.7744
44 1.2 DL + 1.2 FL + 0.8 LL CHECKERED 2 0.126 582.562 -1.681 0.334 -0.082 1.692 0.84 0.84 0.7056
45 1.2 DL + 1.2 FL + 0.8 LL CHECKERED 3 -2.414 567.08 -0.057 2.187 -0.082 4.595 0.85 0.85 0.7225
46 1.2 DL + 1.2 FL + 0.8 LL CHECKERED 4 -4.129 601.114 -4.344 -2.689 -0.081 6.485 0.88 0.88 0.7744
NODE LOAD CASE FX FY FZ MX MY MZ B L BXL
299 12 1.4DL -0.586 519.421 -0.257 2.57 -0.092 2.583 0.81 0.81 0.6561
13 1.2 DL + 1,6 LL -0.678 768.115 -3.175 -0.733 -0.091 3.179 0.96 0.96 0.9216
14 1.2 DL + 1,6 LL CHECKERED 1 4.356 598.008 -1.666 0.771 -0.084 -2.93 0.86 0.86 0.7396
15 1.2 DL + 1,6 LL CHECKERED 2 -5.532 598.75 -1.733 0.682 -0.085 8.302 0.88 0.88 0.7744
16 1.2 DL + 1,6 LL CHECKERED 3 -0.73 567.861 1.225 4.062 -0.085 2.901 0.85 0.85 0.7225
17 1.2 DL + 1,6 LL CHECKERED 4 -0.445 628.897 -4.625 -2.609 -0.084 2.471 0.88 0.88 0.7744
18 1.2 DL + 1,0 LL + 1.0 SL +X -27.473 639.923 -0.133 7.65 -1.062 80.006 1.14 1.14 1.2996
19 1.2 DL + 1.0 LL CHECKERED 1 + 1.0 SL +X -24.326 533.606 0.811 8.59 -1.057 76.188 1.08 1.08 1.1664
20 1.2 DL + 1.0 LL CHECKERED 2 + 1.0 SL +X -30.506 534.07 0.769 8.534 -1.058 83.208 1.1 1.1 1.21
21 1.2 DL + 1.0 LL CHECKERED 3 + 1.0 SL +X -27.505 514.764 2.618 10.647 -1.058 79.832 1.09 1.09 1.1881
22 1.2 DL + 1.0 LL CHECKERED 4 + 1.0 SL +X -27.327 552.911 -1.038 6.478 -1.057 79.563 1.1 1.1 1.21
23 1.2 DL + 1.0 LL + 1.0 SL -X 26.248 654.134 -4.002 -6.914 0.888 -74.372 1.13 1.13 1.2769
24 1.2 DL + 1.0 LL CHECKERED 1 + 1.0 SL -X 29.395 547.818 -3.059 -5.974 0.893 -78.19 1.09 1.09 1.1881
25 1.2 DL + 1.0 LL CHECKERED 2 + 1.0 SL -X 23.215 548.281 -3.101 -6.03 0.892 -71.17 1.07 1.07 1.1449
26 1.2 DL + 1.0 LL CHECKERED 3 + 1.0 SL -X 26.216 528.976 -1.252 -3.917 0.892 -74.545 1.07 1.07 1.1449
27 1.2 DL + 1.0 LL CHECKERED 4 + 1.0 SL -X 26.394 567.123 -4.908 -8.086 0.893 -74.814 1.09 1.09 1.1881
28 1.2 DL + 1.0 LL + 1.0 SL +Z 1.853 720.891 -32.693 -90.726 0.625 -7.702 1.19 1.19 1.4161
29 1.2 DL + 1.0 LL CHECKERED 1 + 1.0 SL +Z 5 614.575 -31.75 -89.785 0.63 -11.52 1.16 1.16 1.3456
30 1.2 DL + 1.0 LL CHECKERED 2 + 1.0 SL +Z -1.18 615.039 -31.792 -89.841 0.629 -4.5 1.14 1.14 1.2996
31 1.2 DL + 1.0 LL CHECKERED 3 + 1.0 SL +Z 1.821 595.733 -29.943 -87.729 0.629 -7.875 1.14 1.14 1.2996
32 1.2 DL + 1.0 LL CHECKERED 4 + 1.0 SL +Z 1.999 633.88 -33.599 -91.898 0.63 -8.144 1.16 1.16 1.3456
33 1.2 DL + 1.0 LL + 1.0 SL -Z -3.077 573.166 28.559 91.461 -0.798 13.336 1.15 1.15 1.3225
34 1.2 DL + 1.0 LL CHECKERED 1 + 1.0 SL -Z 0.069 466.849 29.502 92.402 -0.794 9.518 1.1 1.1 1.21
35 1.2 DL + 1.0 LL CHECKERED 2 + 1.0 SL -Z -6.111 467.313 29.46 92.346 -0.794 16.538 1.11 1.11 1.2321
36 1.2 DL + 1.0 LL CHECKERED 3 + 1.0 SL -Z -3.11 448.007 31.309 94.458 -0.795 13.162 1.1 1.1 1.21
37 1.2 DL + 1.0 LL CHECKERED 4 + 1.0 SL -Z -2.932 486.154 27.653 90.289 -0.794 12.893 1.11 1.11 1.2321
38 0.9 DL + 1.0 SL +X -27.237 326.808 1.769 8.934 -1.034 78.849 1 1 1
39 0.9 DL + 1.0 SL -X 26.484 341.019 -2.1 -5.63 0.916 -75.528 0.99 0.99 0.9801
40 0.9 DL + 1.0 SL +Z 2.089 407.776 -30.792 -89.441 0.652 -8.858 1.06 1.06 1.1236
41 0.9 DL + 1.0 SL -Z -2.842 260.051 30.461 92.746 -0.771 12.18 1.02 1.02 1.0404
42 1.2 DL + 1.2 FL + 0.8 LL -0.589 606.604 -1.697 0.748 -0.085 2.693 0.86 0.86 0.7396
43 1.2 DL + 1.2 FL + 0.8 LL CHECKERED 1 1.928 521.551 -0.943 1.5 -0.081 -0.361 0.79 0.79 0.6241
44 1.2 DL + 1.2 FL + 0.8 LL CHECKERED 2 -3.015 521.922 -0.976 1.455 -0.082 5.255 0.82 0.82 0.6724
45 1.2 DL + 1.2 FL + 0.8 LL CHECKERED 3 -0.615 506.477 0.503 3.146 -0.082 2.554 0.8 0.8 0.64
46 1.2 DL + 1.2 FL + 0.8 LL CHECKERED 4 -0.472 536.995 -2.422 -0.19 -0.081 2.339 0.81 0.81 0.6561
NODE LOAD CASE FX FY FZ MX MY MZ B L BXL
300 12 1.4DL -2.675 582.844 0.431 3.715 -0.092 4.952 0.87 0.87 0.7569
13 1.2 DL + 1,6 LL -3.922 788.051 -2.533 0.356 -0.091 6.857 0.99 0.99 0.9801
14 1.2 DL + 1,6 LL CHECKERED 1 -6.787 639.859 -1.092 1.755 -0.084 9.705 0.92 0.92 0.8464
15 1.2 DL + 1,6 LL CHECKERED 2 0.584 633.109 -1.085 1.752 -0.085 1.368 0.88 0.88 0.7744
16 1.2 DL + 1,6 LL CHECKERED 3 -2.166 608.61 1.822 5.076 -0.085 4.529 0.89 0.89 0.7921
17 1.2 DL + 1,6 LL CHECKERED 4 -4.037 664.358 -3.999 -1.569 -0.084 6.543 0.9 0.9 0.81
18 1.2 DL + 1,0 LL + 1.0 SL +X -30.968 644.024 2.141 14.428 -1.062 83.969 1.16 1.16 1.3456
19 1.2 DL + 1.0 LL CHECKERED 1 + 1.0 SL +X -32.758 551.404 3.042 15.303 -1.057 85.749 1.13 1.13 1.2769
20 1.2 DL + 1.0 LL CHECKERED 2 + 1.0 SL +X -28.151 547.185 3.046 15.301 -1.058 80.538 1.12 1.12 1.2544
21 1.2 DL + 1.0 LL CHECKERED 3 + 1.0 SL +X -29.87 531.873 4.863 17.379 -1.058 82.514 1.12 1.12 1.2544
22 1.2 DL + 1.0 LL CHECKERED 4 + 1.0 SL +X -31.04 566.716 1.225 13.225 -1.057 83.773 1.13 1.13 1.2769
23 1.2 DL + 1.0 LL + 1.0 SL -X 24.345 715.725 -5.031 -11.595 0.888 -72.214 1.16 1.16 1.3456
24 1.2 DL + 1.0 LL CHECKERED 1 + 1.0 SL -X 22.555 623.105 -4.13 -10.721 0.893 -70.434 1.11 1.11 1.2321
25 1.2 DL + 1.0 LL CHECKERED 2 + 1.0 SL -X 27.162 618.887 -4.126 -10.723 0.892 -75.645 1.12 1.12 1.2544
26 1.2 DL + 1.0 LL CHECKERED 3 + 1.0 SL -X 25.443 603.575 -2.309 -8.645 0.892 -73.669 1.11 1.11 1.2321
27 1.2 DL + 1.0 LL CHECKERED 4 + 1.0 SL -X 24.274 638.417 -5.947 -12.798 0.893 -72.41 1.13 1.13 1.2769
28 1.2 DL + 1.0 LL + 1.0 SL +Z -0.695 764.05 -32.943 -93.481 0.625 -4.812 1.21 1.21 1.4641
29 1.2 DL + 1.0 LL CHECKERED 1 + 1.0 SL +Z -2.485 671.43 -32.042 -92.607 0.63 -3.033 1.17 1.17 1.3689
30 1.2 DL + 1.0 LL CHECKERED 2 + 1.0 SL +Z 2.121 667.211 -32.038 -92.609 0.629 -8.243 1.18 1.18 1.3924
31 1.2 DL + 1.0 LL CHECKERED 3 + 1.0 SL +Z 0.403 651.899 -30.221 -90.531 0.629 -6.267 1.16 1.16 1.3456
32 1.2 DL + 1.0 LL CHECKERED 4 + 1.0 SL +Z -0.767 686.742 -33.859 -94.684 0.63 -5.009 1.18 1.18 1.3924
33 1.2 DL + 1.0 LL + 1.0 SL -Z -5.927 595.699 30.053 96.314 -0.798 16.568 1.17 1.17 1.3689
34 1.2 DL + 1.0 LL CHECKERED 1 + 1.0 SL -Z -7.718 503.079 30.954 97.189 -0.794 18.347 1.14 1.14 1.2996
35 1.2 DL + 1.0 LL CHECKERED 2 + 1.0 SL -Z -3.111 498.86 30.958 97.187 -0.794 13.137 1.13 1.13 1.2769
36 1.2 DL + 1.0 LL CHECKERED 3 + 1.0 SL -Z -4.83 483.548 32.775 99.265 -0.795 15.113 1.13 1.13 1.2769
37 1.2 DL + 1.0 LL CHECKERED 4 + 1.0 SL -Z -5.999 518.391 29.137 95.111 -0.794 16.371 1.13 1.13 1.2769
38 0.9 DL + 1.0 SL +X -29.376 338.834 3.863 15.4 -1.034 81.275 1.03 1.03 1.0609
39 0.9 DL + 1.0 SL -X 25.937 410.536 -3.309 -10.624 0.916 -74.908 1.03 1.03 1.0609
40 0.9 DL + 1.0 SL +Z 0.897 458.861 -31.221 -92.51 0.652 -7.506 1.09 1.09 1.1881
41 0.9 DL + 1.0 SL -Z -4.336 290.51 31.775 97.286 -0.771 13.874 1.04 1.04 1.0816
42 1.2 DL + 1.2 FL + 0.8 LL -3.106 643.758 -1.082 1.781 -0.085 5.548 0.9 0.9 0.81
43 1.2 DL + 1.2 FL + 0.8 LL CHECKERED 1 -4.539 569.662 -0.361 2.48 -0.081 6.971 0.86 0.86 0.7396
44 1.2 DL + 1.2 FL + 0.8 LL CHECKERED 2 -0.853 566.287 -0.358 2.479 -0.082 2.803 0.84 0.84 0.7056
45 1.2 DL + 1.2 FL + 0.8 LL CHECKERED 3 -2.228 554.037 1.096 4.141 -0.082 4.384 0.85 0.85 0.7225
46 1.2 DL + 1.2 FL + 0.8 LL CHECKERED 4 -3.164 581.911 -1.815 0.818 -0.081 5.391 0.86 0.86 0.7396
NODE LOAD CASE FX FY FZ MX MY MZ B L BXL
301 12 1.4DL -2.601 457.165 0.529 4.119 -0.092 4.869 0.79 0.79 0.6241
13 1.2 DL + 1,6 LL -4.097 525.211 -0.785 2.627 -0.091 7.055 0.84 0.84 0.7056
14 1.2 DL + 1,6 LL CHECKERED 1 -1.683 442.932 1.048 4.446 -0.084 3.917 0.77 0.77 0.5929
15 1.2 DL + 1,6 LL CHECKERED 2 -4.633 467.419 -1.408 1.655 -0.085 7.284 0.79 0.79 0.6241
16 1.2 DL + 1,6 LL CHECKERED 3 -1.968 443.078 1.35 4.811 -0.085 4.305 0.78 0.78 0.6084
17 1.2 DL + 1,6 LL CHECKERED 4 -4.348 467.272 -1.71 1.29 -0.084 6.896 0.79 0.79 0.6241
18 1.2 DL + 1,0 LL + 1.0 SL +X -27.664 522.237 4.603 20.58 -1.062 80.223 1.12 1.12 1.2544
19 1.2 DL + 1.0 LL CHECKERED 1 + 1.0 SL +X -26.155 470.813 5.749 21.717 -1.057 78.262 1.09 1.09 1.1881
20 1.2 DL + 1.0 LL CHECKERED 2 + 1.0 SL +X -28 486.117 4.214 19.972 -1.058 80.366 1.1 1.1 1.21
21 1.2 DL + 1.0 LL CHECKERED 3 + 1.0 SL +X -26.334 470.905 5.938 21.945 -1.058 78.504 1.09 1.09 1.1881
22 1.2 DL + 1.0 LL CHECKERED 4 + 1.0 SL +X -27.821 486.026 4.025 19.744 -1.057 80.124 1.1 1.1 1.21
23 1.2 DL + 1.0 LL + 1.0 SL -X 20.871 428.168 -5.244 -14.648 0.888 -68.274 1.03 1.03 1.0609
24 1.2 DL + 1.0 LL CHECKERED 1 + 1.0 SL -X 22.38 376.743 -4.099 -13.511 0.893 -70.235 1.01 1.01 1.0201
25 1.2 DL + 1.0 LL CHECKERED 2 + 1.0 SL -X 20.535 392.048 -5.634 -15.256 0.892 -68.131 1.02 1.02 1.0404
26 1.2 DL + 1.0 LL CHECKERED 3 + 1.0 SL -X 22.201 376.835 -3.91 -13.283 0.892 -69.993 1.01 1.01 1.0201
27 1.2 DL + 1.0 LL CHECKERED 4 + 1.0 SL -X 20.714 391.956 -5.823 -15.484 0.893 -68.373 1.02 1.02 1.0404
28 1.2 DL + 1.0 LL + 1.0 SL +Z -1.434 543.716 -32.546 -95.01 0.625 -3.975 1.12 1.12 1.2544
29 1.2 DL + 1.0 LL CHECKERED 1 + 1.0 SL +Z 0.075 492.291 -31.401 -93.872 0.63 -5.936 1.1 1.1 1.21
30 1.2 DL + 1.0 LL CHECKERED 2 + 1.0 SL +Z -1.769 507.596 -32.935 -95.617 0.629 -3.832 1.11 1.11 1.2321
31 1.2 DL + 1.0 LL CHECKERED 3 + 1.0 SL +Z -0.103 492.383 -31.211 -93.644 0.629 -5.694 1.1 1.1 1.21
32 1.2 DL + 1.0 LL CHECKERED 4 + 1.0 SL +Z -1.591 507.504 -33.124 -95.845 0.63 -4.074 1.11 1.11 1.2321
33 1.2 DL + 1.0 LL + 1.0 SL -Z -5.36 406.689 31.905 100.941 -0.798 15.924 1.1 1.1 1.21
34 1.2 DL + 1.0 LL CHECKERED 1 + 1.0 SL -Z -3.851 355.265 33.05 102.078 -0.794 13.963 1.08 1.08 1.1664
35 1.2 DL + 1.0 LL CHECKERED 2 + 1.0 SL -Z -5.695 370.569 31.516 100.334 -0.794 16.067 1.09 1.09 1.1881
36 1.2 DL + 1.0 LL CHECKERED 3 + 1.0 SL -Z -4.029 355.357 33.239 102.306 -0.795 14.205 1.08 1.08 1.1664
37 1.2 DL + 1.0 LL CHECKERED 4 + 1.0 SL -Z -5.517 370.477 31.326 100.106 -0.794 15.825 1.09 1.09 1.1881
38 0.9 DL + 1.0 SL +X -25.94 340.926 5.264 20.262 -1.034 77.379 1.03 1.03 1.0609
39 0.9 DL + 1.0 SL -X 22.595 246.857 -4.584 -14.966 0.916 -71.118 1 1 1
40 0.9 DL + 1.0 SL +Z 0.291 362.405 -31.885 -95.328 0.652 -6.819 1.05 1.05 1.1025
41 0.9 DL + 1.0 SL -Z -3.635 225.378 32.566 100.623 -0.771 13.079 1.02 1.02 1.0404
42 1.2 DL + 1.2 FL + 0.8 LL -3.162 458.48 -0.166 3.087 -0.085 5.611 0.79 0.79 0.6241
43 1.2 DL + 1.2 FL + 0.8 LL CHECKERED 1 -1.955 417.34 0.75 3.997 -0.081 4.042 0.75 0.75 0.5625
44 1.2 DL + 1.2 FL + 0.8 LL CHECKERED 2 -3.43 429.584 -0.478 2.601 -0.082 5.725 0.76 0.76 0.5776
45 1.2 DL + 1.2 FL + 0.8 LL CHECKERED 3 -2.098 417.413 0.901 4.179 -0.082 4.236 0.75 0.75 0.5625
46 1.2 DL + 1.2 FL + 0.8 LL CHECKERED 4 -3.288 429.51 -0.629 2.419 -0.081 5.532 0.76 0.76 0.5776
TABULATED SUMMARY OF CRITICAL LOAD PER LOAD CASE (SQUARE FOOTING)
NODE LOAD CASE Fy (kN) Mx (kN·m) Mz (kN·m) B L BxL
2 33 1.2 DL + 1.0 LL + 1.0 SL -Z 514.081 87.554 -16.665 1.12 1.12 1.2544
NODE LOAD CASE Fy (kN) Mx (kN·m) Mz (kN·m) B L BxL
3 33 1.2 DL + 1.0 LL + 1.0 SL -Z 917.919 99.744 -16.663 1.3 1.3 1.69
NODE LOAD CASE Fy (kN) Mx (kN·m) Mz (kN·m) B L BxL
4 33 1.2 DL + 1.0 LL + 1.0 SL -Z 987.424 106.372 -8.463 1.33 1.33 1.7689
NODE LOAD CASE Fy (kN) Mx (kN·m) Mz (kN·m) B L BxL
5 33 1.2 DL + 1.0 LL + 1.0 SL -Z 560.986 102.667 -4.01 1.15 1.15 1.3225
NODE LOAD CASE Fy (kN) Mx (kN·m) Mz (kN·m) B L BxL
52 33 1.2 DL + 1.0 LL + 1.0 SL -Z 1526.476 84.275 -14.643 1.5 1.5 2.25
NODE LOAD CASE Fy (kN) Mx (kN·m) Mz (kN·m) B L BxL
53 28 1.2 DL + 1.0 LL + 1.0 SL +Z 1530.971 -95.066 14.931 1.52 1.52 2.3104
NODE LOAD CASE Fy (kN) Mx (kN·m) Mz (kN·m) B L BxL
56 33 1.2 DL + 1.0 LL + 1.0 SL -Z 481.57 108.058 -2.955 1.12 1.12 1.2544
NODE LOAD CASE Fy (kN) Mx (kN·m) Mz (kN·m) B L BxL
105 28 1.2 DL + 1.0 LL + 1.0 SL +Z 863.779 -88.472 16.012 1.26 1.26 1.5876
NODE LOAD CASE Fy (kN) Mx (kN·m) Mz (kN·m) B L BxL
154 33 1.2 DL + 1.0 LL + 1.0 SL -Z 787.574 100.946 10.819 1.25 1.25 1.5625
NODE LOAD CASE Fy (kN) Mx (kN·m) Mz (kN·m) B L BxL
199 28 1.2 DL + 1.0 LL + 1.0 SL +Z 1523.023 -75.986 -9.24 1.48 1.48 2.1904
NODE LOAD CASE Fy (kN) Mx (kN·m) Mz (kN·m) B L BxL
200 33 1.2 DL + 1.0 LL + 1.0 SL -Z 1400.108 104.848 12.684 1.48 1.48 2.1904
NODE LOAD CASE Fy (kN) Mx (kN·m) Mz (kN·m) B L BxL
203 18 1.2 DL + 1,0 LL + 1.0 SL +X 822.671 27.455 75.375 1.24 1.24 1.5376
NODE LOAD CASE Fy (kN) Mx (kN·m) Mz (kN·m) B L BxL
248 28 1.2 DL + 1.0 LL + 1.0 SL +Z 1590.376 -91.243 -16.595 1.53 1.53 2.3409
NODE LOAD CASE Fy (kN) Mx (kN·m) Mz (kN·m) B L BxL
250 33 1.2 DL + 1.0 LL + 1.0 SL -Z 1242.536 98.506 9.533 1.41 1.41 1.9881
NODE LOAD CASE Fy (kN) Mx (kN·m) Mz (kN·m) B L BxL
251 33 1.2 DL + 1.0 LL + 1.0 SL -Z 1274.09 97.948 17.801 1.43 1.43 2.0449
NODE LOAD CASE Fy (kN) Mx (kN·m) Mz (kN·m) B L BxL
252 33 1.2 DL + 1.0 LL + 1.0 SL -Z 730.968 106.411 13.645 1.24 1.24 1.5376
NODE LOAD CASE Fy (kN) Mx (kN·m) Mz (kN·m) B L BxL
297 28 1.2 DL + 1.0 LL + 1.0 SL +Z 785.677 -85.308 -11.467 1.22 1.22 1.4884
NODE LOAD CASE Fy (kN) Mx (kN·m) Mz (kN·m) B L BxL
298 28 1.2 DL + 1.0 LL + 1.0 SL +Z 794.161 -89.291 -3.5 1.21 1.21 1.4641
NODE LOAD CASE Fy (kN) Mx (kN·m) Mz (kN·m) B L BxL
299 28 1.2 DL + 1.0 LL + 1.0 SL +Z 720.891 -90.726 -7.702 1.19 1.19 1.4161
NODE LOAD CASE Fy (kN) Mx (kN·m) Mz (kN·m) B L BxL
300 28 1.2 DL + 1.0 LL + 1.0 SL +Z 764.05 -93.481 -4.812 1.21 1.21 1.4641
NODE LOAD CASE Fy (kN) Mx (kN·m) Mz (kN·m) B L BxL
301 28 1.2 DL + 1.0 LL + 1.0 SL +Z 543.716 -95.01 -3.975 1.12 1.12 1.2544
CRITICAL LOAD CASE Fy (kN) Mx (kN·m) Mz (kN·m) B L BxL
NODE 12 1.4DL 1311.715 -2.738 8.743 1.26 1.26 1.5876
249 13 1.2 DL + 1,6 LL 1905.839 -4.931 18.616 1.53 1.53 2.3409
14 1.2 DL + 1,6 LL CHECKERED 1 1515.206 -5.466 30.278 1.4 1.4 1.96
15 1.2 DL + 1,6 LL CHECKERED 2 1473.608 -1.842 -4.164 1.32 1.32 1.7424
16 1.2 DL + 1,6 LL CHECKERED 3 1502.436 -14.589 17.077 1.38 1.38 1.9044
17 1.2 DL + 1,6 LL CHECKERED 4 1486.379 7.281 9.037 1.35 1.35 1.8225
18 1.2 DL + 1,0 LL + 1.0 SL +X 1603.986 -2.275 86.538 1.51 1.51 2.2801
19 1.2 DL + 1.0 LL CHECKERED 1 + 1.0 SL +X 1359.841 -2.609 93.827 1.43 1.43 2.0449
20 1.2 DL + 1.0 LL CHECKERED 2 + 1.0 SL +X 1333.842 -0.344 72.3 1.39 1.39 1.9321
21 1.2 DL + 1.0 LL CHECKERED 3 + 1.0 SL +X 1351.86 -8.311 85.576 1.43 1.43 2.0449
22 1.2 DL + 1.0 LL CHECKERED 4 + 1.0 SL +X 1341.824 5.358 80.551 1.41 1.41 1.9881
23 1.2 DL + 1.0 LL + 1.0 SL -X 1621.557 -5.649 -57.648 1.48 1.48 2.1904
24 1.2 DL + 1.0 LL CHECKERED 1 + 1.0 SL -X 1377.412 -5.983 -50.359 1.38 1.38 1.9044
25 1.2 DL + 1.0 LL CHECKERED 2 + 1.0 SL -X 1351.413 -3.718 -71.885 1.4 1.4 1.96
26 1.2 DL + 1.0 LL CHECKERED 3 + 1.0 SL -X 1369.431 -11.685 -58.609 1.4 1.4 1.96
27 1.2 DL + 1.0 LL CHECKERED 4 + 1.0 SL -X 1359.395 1.984 -63.635 1.39 1.39 1.9321
28 1.2 DL + 1.0 LL + 1.0 SL +Z 1590.631 -95.546 7.197 1.53 1.53 2.3409
29 1.2 DL + 1.0 LL CHECKERED 1 + 1.0 SL +Z 1346.486 -95.88 14.486 1.44 1.44 2.0736
30 1.2 DL + 1.0 LL CHECKERED 2 + 1.0 SL +Z 1320.487 -93.615 -7.041 1.43 1.43 2.0449
31 1.2 DL + 1.0 LL CHECKERED 3 + 1.0 SL +Z 1338.504 -101.582 6.235 1.44 1.44 2.0736
32 1.2 DL + 1.0 LL CHECKERED 4 + 1.0 SL +Z 1328.469 -87.913 1.21 1.41 1.41 1.9881
33 1.2 DL + 1.0 LL + 1.0 SL -Z 1634.913 87.622 21.693 1.56 1.56 2.4336
34 1.2 DL + 1.0 LL CHECKERED 1 + 1.0 SL -Z 1390.768 87.287 28.982 1.47 1.47 2.1609
35 1.2 DL + 1.0 LL CHECKERED 2 + 1.0 SL -Z 1364.769 89.553 7.456 1.44 1.44 2.0736
36 1.2 DL + 1.0 LL CHECKERED 3 + 1.0 SL -Z 1382.786 81.585 20.732 1.45 1.45 2.1025
37 1.2 DL + 1.0 LL CHECKERED 4 + 1.0 SL -Z 1372.75 95.255 15.706 1.46 1.46 2.1316
38 0.9 DL + 1.0 SL +X 834.46 -0.073 77.713 1.2 1.2 1.44
39 0.9 DL + 1.0 SL -X 852.031 -3.447 -66.472 1.19 1.19 1.4161
40 0.9 DL + 1.0 SL +Z 821.105 -93.344 -1.628 1.23 1.23 1.5129
41 0.9 DL + 1.0 SL -Z 865.386 89.824 12.868 1.26 1.26 1.5876
42 1.2 DL + 1.2 FL + 0.8 LL 1515.105 -3.622 13.054 1.36 1.36 1.8496
43 1.2 DL + 1.2 FL + 0.8 LL CHECKERED 1 1319.789 -3.889 18.885 1.29 1.29 1.6641
44 1.2 DL + 1.2 FL + 0.8 LL CHECKERED 2 1298.99 -2.077 1.664 1.24 1.24 1.5376
45 1.2 DL + 1.2 FL + 0.8 LL CHECKERED 3 1313.404 -8.451 12.284 1.28 1.28 1.6384
46 1.2 DL + 1.2 FL + 0.8 LL CHECKERED 4 1305.376 2.484 8.264 1.26 1.26 1.5876
ANALYSIS & DESIGN OF ISOLATED SQUARE FOOTING SUBJECTED TO BI-AXIAL BENDING
COMPUTATION FOR DIMENSION OF FOOTING
Given: qult = 863.10 kPa *Computation for Dimensions of Footing:
f'c = 21 MPa Pu 6Mux 6Muy
knowing that; f= ± ±
fy = 275 MPa A B²L BL²
Designing the dimension of the Footing
Reactions (from STAAD)
NODE LOAD CASE #
Pu (kN) Mux (kN.m) Muz (kN.m)
249 33 1634.913 87.622 21.693
where L = B
Pu ± 6Mux ± 6Muy
so; f=
B² B³ B³
1634.913 (6)( 87.622 ) (6)( 21.693 )
863.10 = + +
B² B³ B³
863.102 B³ + -817.4565 B + -295.4055 = 0
using Calculator: B= 1.56 m
L= 1.56 m
*Check for Stability: (positive value denotes not uplift)
Pu 6Mux 6Muy
qmin = ± ±
A B²L BL²
1634.913 ( 6 ) ( 87.622 ) (6)( 21.693 )
qmin = - -
( 1.56 ) ( 1.56 ) 1.56 ² ( 1.56 ) 1.56 ( 1.56 ) ²
qmin = 499.04285516 kPa ok!
*Check for Capacity:
ex = Mx / P = 0.0535942891 m
ez = Mz / P = 0.0132685959 m
Pall = B' L' qa = (B - 2ex) (L - 2ez ) (qa)
Pall = 1922.8465 kN > 1634.913 kN ok!
ANALYSIS & DESIGN OF ISOLATED SQUARE FOOTING SUBJECTED TO BI-AXIAL BENDING
COMPUTATION FOR THICKNESS OF FOOTING
NODE 249
LOAD CASE 33
Given: B= 1.56 m Figure:
L= 1.56 m
c1 = 0.5 m
c2 = 0.5 m
Pu = 1634.91 kN
Mx = 87.622 kN·m
Mz = 21.693 kN·m
qu = 863.102 kPa
f'c = 21 MPa
fy = 275 MPa
*Ultimate Soil Pressure:
1634.91 (6)( 87.622 ) (6)( 21.693 )
qua = + - ; qua = 776.0038942 kPa
( 1.56 ) ( 1.56 ) 1.56 ² ( 1.56 ) 1.56 ( 1.56 ) ²
1634.91 (6)( 87.622 ) (6)( 21.693 )
qub = + + ; qub = 844.57277601 kPa
( 1.56 ) ( 1.56 ) 1.56 ² ( 1.56 ) 1.56 ( 1.56 ) ²
1634.91 (6)( 87.622 ) (6)( 21.693 )
quc = - + ; quc = 567.61050422 kPa
( 1.56 ) ( 1.56 ) 1.56 ² ( 1.56 ) 1.56 ( 1.56 ) ²
1634.91 (6)( 87.622 ) (6)( 21.693 )
qud = - - ; qud = 499.04162241 kPa
( 1.56 ) ( 1.56 ) 1.56 ² ( 1.56 ) 1.56 ( 1.56 ) ²
*Solving "d":
[1 of 3] for One-Way Shear @ 1 - 1 :
x = [( 1.56 - 0.5 )/ 2] - d ; x= 0.53 - d
· solving for q1c : (front) similar triangles:
quc- q1c quc - qud
=
x L
567.6105 - q1c 567.6105 - 499.04162
=
0.53 - d 1.56
q1c = -43.95441 ( 0.53 - d ) + 567.6105
q1c = 544.31467 + 43.954411 d
· solving for q1b : (back) similar triangles:
qub - q1b qub - qua
=
x L
844.57278 - q1b 844.57278 - 776.00389
=
0.53 - d 1.56
q1b = -43.95441 ( 0.53 - d ) + 844.57278
q1b = 821.27694 + 43.954411 d
so, quave. = ( 544.31467 + 43.954411 d ) + ( 821.27694 + 43.954411 d ) + 567.6105 + 844.57278
4
quave. = 694.44372 + 21.977206 d
; knowing that Vu = (quave)(x)(L) and Vu = ØVc where Ø=0.75 and Vc=(1/6)(√f'c)(b)(d)
Vu= ( 694.44372 + 21.977206 d ) ( 0.53 -d)( 1.56 ) = (0.75) (0.11) ( √ 21 ) ( 1560 ) (d)
Vu = 574.16607 + -1065.161 d + -34.28444 d² = 589.77749 d
Vu = 574.16607 + -1654.939 d + -34.28444 d² = 0
using the Quadratic formula: d= -48.61533 m
; d= 0.3444826 m
d= 0.3444826 m
d= 0.35 m
[2 of 3] for One-Way Shear @ 2 - 2 :
y = [( 1.56 - 0.5 )/ 2] - d ; y= 0.53 - d
· solving for q2b : (right) similar triangles:
qub - q2b qub - quc
=
y B
844.57278 - q2b 844.57278 - 567.6105
=
0.53 - d 1.56
q2b = -177.5399 ( 0.53 - d ) + 844.57278
q2b = 750.47662 + 177.53992 d
· solving for q2a : (left) similar triangles:
qua- q2a qua - qud
=
x B
776.00389 - q2a 776.00389 - 499.04162
=
0.53 - d 1.56
q2a = -177.5399 ( 0.53 - d ) + 776.00389
q2a = 681.90774 + 177.53992 d
so, quave. = ( 750.47662 + 177.53992 d ) + ( 681.90774 + 177.53992 d ) + 844.57278 + 776.00389
4
quave. = 763.24026 + 88.769959 d
; knowing that Vu = (quave)(y)(B) and Vu = ØVc where Ø=0.75 and Vc=(1/6)(√f'c)(b)(d)
Vu= ( 763.24026 + 88.769959 d ) ( 0.53 -d)( 1.56 ) = (0.75) (0.11) ( √ 21 ) ( 1560 ) (d)
Vu = 631.04704 + -1117.26 d + -138.4811 d² = 589.77749 d
Vu = 631.04704 + -1707.037 d + -138.4811 d² = 893.6
using the Quadratic formula: d= -12.68606 m
; d= 0.3592065 m
d= 0.3592065 m
d= 0.36 m
[3 of 3] for Two-Way Shear / Punching :
Vu = (quave)(Area of Shear Plane) and Vu = ØVc
where:
quave. = ( qua + qub + quc + qud ) / 4
Area of Shear Plane = BL - ( 0.5 + d )²
Ø=0.75 and Vc=(1/3)(√f'c)(bo)(d)
; bo = 2(c1+d) + 2(c2+d) =
· quave. = 671.8072 kPa
· Area of Shear Plane = 2.4336 -( 0.5 + d )²
· ØVc = (0.75) (2)(0.11) ( √ 21 )( 2 + 4d ) (d)
ØVc = 2291.2878 d + 3024.5 d²
Vu= ( 671.8072 ) [ 2.4336 -( 0.5 + d )² ] = 2291.2878 d + 3024.5 d²
Vu = 1634.66 + -2963.095 d + -3696.307 d² = 0
using the Quadratic formula: d= -1.177283 m
; d= 0.3756459 m
d= 0.3756459 m
d= 0.38 m
thus; d= 0.38 m or simply d= 380 mm USE THIS!
so, thickness (t) = 380 + 95 ; t= 475 mm
ANALYSIS & DESIGN OF ISOLATED SQUARE FOOTING SUBJECTED TO BI-AXIAL BENDING
DESIGN OF REBARS
[1 of 2] Design of Rebars Parallel to "B" :
x = [( 1.56 - 0.5 )/ 2] ; x= 0.53
· solving for qsc & xa : (front) similar triangles:
quc - qsc quc - qud
=
x L
567.6105 - qsc 567.6105 - 499.04162
=
0.53 1.56
qsc = -43.95441 ( 0.53 ) + 567.6105
qsc = 544.31467
xa [ 1/2 ( 544.31467 + 567.6105 ) ( 0.53 ) ] = 544.31467 ( 0.53 )² / 2
+ 1/2 ( 567.6105 - 544.31467 ) ( 0.53 )² (2/3)
xa = 0.2668507 m
· solving for qsb & xb : (back) similar triangles:
qub - qsb qub - qua
=
x L
844.57278 - qsb 844.57278 - 776.00389
=
0.53 1.56
qsb = -43.95441 ( 0.53 ) + 844.57278
qsb = 821.27694
xb [ 1/2 ( 821.27694 + 844.57278 ) ( 0.53 ) ] = 821.27694 ( 0.53 )² / 2
+ 1/2 ( 844.57278 - 821.27694 ) ( 0.53 )² (2/3)
xb = 0.2662353 m
so, x ̅ = ( x a + xb ) / 2 ; x̅ = 0.266543 m & quave. = (qsc + qsb + quc + qub) / 4 ; quave. = 694.44372 kPa
;knowing that : Mus = ( U ) ( x̅ ) where U = (quave.) (B) (x)
*U = ( 694.44372 ) ( 1.56 ) ( 0.53 ) ; U= 574.16607 kN
*Mus = ( 574.16607 ) ( 0.266543 ) ; Mus = 153.03993 kN·m
Mu 153.0399 x10⁶
· Rn = = ; Rn = 0.754867 MPa
Ø b d² 0.9 ( 1560 )( 380 )²
fy 275
·M= = ; M = 15.406162 kN·m
0.85 f'c 0.85 ( 21 )
1 (2) (Rn) (M) 1 2 ( 0.754867 ) ( 15.406162 )
·ρ=
M
{1 - √ [1- fy
] } = 15.406162 { 1 - √ [ 1 - 275
]}
ρ= 0.00281
1.4 1.4
· ρmin = = ; ρmin = 0.00509
fy 275
; ρ < ρmin use: ρmin
· As = ( ρmin ) (b) (d) = ( 0.00509 ) ( 1560 ) ( 380 ) ; As = 3017.8909 mm
# of bars: N16 = 16 N20 = 10 N25 = 7 N28 = 5
use: 7 - 25 mm Ø bar
1560 -2 ( 75 )- 25
spacing (s) =
7 - 1
s = 230.83333 mm ; s≈ 230 mm
USE: 7 - 25 mm Ø bar spaced @ 230 mm O.C.
[2 of 2] Design of Rebars Parallel to "L" :
y = [( 1.56 - 0.5 )/ 2] ; x= 0.53
· solving for qlb & ya : (right) similar triangles:
qub - qlb qub - quc
=
y B
844.57278 - qlb 844.57278 - 567.6105
=
0.53 1.56
qlb = -177.5399 ( 0.53 ) + 844.57278
qlb = 750.47662
ya [ 1/2 ( 750.47662 + 844.57278 ) ( 0.53 ) ] = 750.47662 ( 0.53 )² / 2
+ 1/2 ( 844.57278 - 750.47662 ) ( 0.53 )² (2/3)
ya = 0.270211 m
· solving for qla & yb : (left) similar triangles:
qua - qla qua - qud
=
y B
776.00389 - qsb 776.00389 - 499.04162
=
0.53 1.56
qsb = -177.5399 ( 0.53 ) + 776.00389
qsb = 681.90774
yb [ 1/2 ( 681.90774 + 776.00389 ) ( 0.53 ) ] = 681.90774 ( 0.53 )² / 2
+ 1/2 ( 776.00389 - 681.90774 ) ( 0.53 )² (2/3)
yb = 0.2707012 m
so, y ̅ = ( y a + yb ) / 2 ; y̅ = 0.2704561 m & quave. = (qsc + qsb + qub + qua) / 4 ; quave. = 763.24026 kPa
;knowing that : Mls = ( U ) ( y̅ ) where U = (quave.) (L) (y)
*U = ( 763.24026 ) ( 1.56 ) ( 0.53 ) ; U= 631.04704 kN
*Mus = ( 631.04704 ) ( 0.2704561 ) ; Mus = 170.67052 kN·m
Mu 170.6705 x10⁶
· Rn = = ; Rn = 0.8418297 MPa
Ø b d² 0.9 ( 1560 )( 380 )²
fy 275
·M= = ; M = 15.406162 kN·m
0.85 f'c 0.85 ( 21 )
1 (2) (Rn) (M) 1 2 ( 0.8418297 ) ( 15.406162 )
·ρ=
M
{1 - √ [1- fy
] } = 15.406162 { 1 - √ [ 1 - 275
]}
ρ= 0.00314
1.4 1.4
· ρmin = = ; ρmin = 0.00509
fy 275
; ρ < ρmin use: ρmin
· As = ( ρmin ) (b) (d) = ( 0.00509 ) ( 1560 ) ( 380 ) ; As = 3017.8909 mm
# of bars: N16 = 16 N20 = 10 N25 = 7 N28 = 5
use: 7 - 25 mm Ø bar
1560 -2 ( 75 )- 25
spacing (s) =
7 - 1
s = 230.83333 mm ; s≈ 230 mm
USE: 7 - 25 mm Ø bar spaced @ 230 mm O.C.
BASE: LENGTH: THICKNESS:
B= 1.56 m L= 1.56 m t= 475 m
SUMMARY:
BOTTOM BARS: 7 - 25 mm Ø bar spaced @ 230 mm O.C.
TOP BARS: 7 - 25 mm Ø bar spaced @ 230 mm O.C.
SUMMARY OF
RECTANGULAR FOOTING
NODE LOAD CASE FX FY FZ MX MY MZ B L BXL
150 12 1.4DL 2.849 1113.772 -8.266 -7.314 -0.092 -2.26 0.87 1.74 1.5138
13 1.2 DL + 1,6 LL 12.696 1822.797 -16.672 -16.831 -0.091 -12.925 1.12 2.24 2.5088
14 1.2 DL + 1,6 LL CHECKERED 1 23.635 1399.263 -14.459 -14.464 -0.084 -25.653 1.02 2.04 2.0808
15 1.2 DL + 1,6 LL CHECKERED 2 -8.445 1330.009 -9.308 -8.646 -0.085 10.732 0.96 1.92 1.8432
16 1.2 DL + 1,6 LL CHECKERED 3 7.755 1381.81 -27.172 -28.879 -0.085 -7.597 0.99 1.98 1.9602
17 1.2 DL + 1,6 LL CHECKERED 4 7.435 1347.463 3.405 5.769 -0.084 -7.324 0.96 1.92 1.8432
18 1.2 DL + 1,0 LL + 1.0 SL +X -12.826 1503.779 -15.019 -18.469 -1.062 52.479 1.1 2.2 2.42
19 1.2 DL + 1.0 LL CHECKERED 1 + 1.0 SL +X -5.99 1239.071 -13.635 -16.99 -1.057 44.523 1.01 2.02 2.0402
20 1.2 DL + 1.0 LL CHECKERED 2 + 1.0 SL +X -26.04 1195.787 -10.416 -13.354 -1.058 67.264 1.03 2.06 2.1218
21 1.2 DL + 1.0 LL CHECKERED 3 + 1.0 SL +X -15.915 1228.162 -21.581 -25.999 -1.058 55.808 1.03 2.06 2.1218
22 1.2 DL + 1.0 LL CHECKERED 4 + 1.0 SL +X -16.115 1206.695 -2.47 -4.344 -1.057 55.979 1.01 2.02 2.0402
23 1.2 DL + 1.0 LL + 1.0 SL -X 30.528 1490.713 -11.136 -7.272 0.888 -70.087 1.11 2.22 2.4642
24 1.2 DL + 1.0 LL CHECKERED 1 + 1.0 SL -X 37.364 1226.005 -9.753 -5.793 0.893 -78.042 1.05 2.1 2.205
25 1.2 DL + 1.0 LL CHECKERED 2 + 1.0 SL -X 17.315 1182.721 -6.533 -2.156 0.892 -55.302 1 2 2
26 1.2 DL + 1.0 LL CHECKERED 3 + 1.0 SL -X 27.439 1215.096 -17.698 -14.802 0.892 -66.757 1.04 2.08 2.1632
27 1.2 DL + 1.0 LL CHECKERED 4 + 1.0 SL -X 27.24 1193.63 1.412 6.853 0.893 -66.587 1.02 2.04 2.0808
28 1.2 DL + 1.0 LL + 1.0 SL +Z 8.562 1466.746 -44.915 -99.143 0.625 -8.879 1.08 2.16 2.3328
29 1.2 DL + 1.0 LL CHECKERED 1 + 1.0 SL +Z 15.398 1202.038 -43.532 -97.664 0.63 -16.835 1.02 2.04 2.0808
30 1.2 DL + 1.0 LL CHECKERED 2 + 1.0 SL +Z -4.651 1158.754 -40.312 -94.027 0.629 5.906 0.98 1.96 1.9208
31 1.2 DL + 1.0 LL CHECKERED 3 + 1.0 SL +Z 5.474 1191.129 -51.477 -106.673 0.629 -5.55 1 2 2
32 1.2 DL + 1.0 LL CHECKERED 4 + 1.0 SL +Z 5.274 1169.663 -32.366 -85.018 0.63 -5.379 0.98 1.96 1.9208
33 1.2 DL + 1.0 LL + 1.0 SL -Z 9.139 1527.746 18.76 73.402 -0.798 -8.729 1.08 2.16 2.3328
34 1.2 DL + 1.0 LL CHECKERED 1 + 1.0 SL -Z 15.976 1263.037 20.144 74.881 -0.794 -16.684 1.02 2.04 2.0808
35 1.2 DL + 1.0 LL CHECKERED 2 + 1.0 SL -Z -4.074 1219.754 23.363 78.518 -0.794 6.056 0.99 1.98 1.9602
36 1.2 DL + 1.0 LL CHECKERED 3 + 1.0 SL -Z 6.051 1252.129 12.198 65.872 -0.795 -5.399 0.99 1.98 1.9602
37 1.2 DL + 1.0 LL CHECKERED 4 + 1.0 SL -Z 5.851 1230.662 31.309 87.527 -0.794 -5.229 0.99 1.98 1.9602
38 0.9 DL + 1.0 SL +X -19.846 722.529 -7.255 -10.301 -1.034 59.83 0.87 1.74 1.5138
39 0.9 DL + 1.0 SL -X 23.508 709.463 -3.373 0.897 0.916 -62.736 0.87 1.74 1.5138
40 0.9 DL + 1.0 SL +Z 1.543 685.496 -37.151 -90.975 0.652 -1.528 0.82 1.64 1.3448
41 0.9 DL + 1.0 SL -Z 2.12 746.496 26.524 81.57 -0.771 -1.378 0.83 1.66 1.3778
42 1.2 DL + 1.2 FL + 0.8 LL 7.568 1388.737 -11.875 -11.53 -0.085 -7.427 0.98 1.96 1.9208
43 1.2 DL + 1.2 FL + 0.8 LL CHECKERED 1 13.037 1176.97 -10.768 -10.347 -0.081 -13.791 0.92 1.84 1.6928
44 1.2 DL + 1.2 FL + 0.8 LL CHECKERED 2 -3.002 1142.343 -8.193 -7.437 -0.082 4.401 0.88 1.76 1.5488
45 1.2 DL + 1.2 FL + 0.8 LL CHECKERED 3 5.097 1168.244 -17.125 -17.554 -0.082 -4.763 0.92 1.84 1.6928
46 1.2 DL + 1.2 FL + 0.8 LL CHECKERED 4 4.937 1151.07 -1.836 -0.23 -0.081 -4.627 0.88 1.76 1.5488
NODE LOAD CASE FX FY FZ MX MY MZ B L BXL
151 12 1.4DL 1.438 1156.082 -10.99 -9.964 -0.092 -0.661 0.88 1.76 1.5488
13 1.2 DL + 1,6 LL -7.617 1931.979 -17.96 -17.858 -0.091 10.108 1.15 2.3 2.645
14 1.2 DL + 1,6 LL CHECKERED 1 -20.549 1473.001 -17.083 -17.042 -0.084 24.446 1.04 2.08 2.1632
15 1.2 DL + 1,6 LL CHECKERED 2 14.145 1421.107 -10.297 -9.365 -0.085 -14.882 1 2 2
16 1.2 DL + 1,6 LL CHECKERED 3 -4.947 1454.705 -29.746 -31.393 -0.085 6.805 1.02 2.04 2.0808
17 1.2 DL + 1,6 LL CHECKERED 4 -1.457 1439.403 2.365 4.986 -0.084 2.759 0.98 1.96 1.9208
18 1.2 DL + 1,0 LL + 1.0 SL +X -26.264 1560.214 -14.376 -12.701 -1.062 67.715 1.13 2.26 2.5538
19 1.2 DL + 1.0 LL CHECKERED 1 + 1.0 SL +X -34.347 1273.353 -13.828 -12.191 -1.057 76.676 1.05 2.1 2.205
20 1.2 DL + 1.0 LL CHECKERED 2 + 1.0 SL +X -12.663 1240.919 -9.587 -7.393 -1.058 52.096 1.01 2.02 2.0402
21 1.2 DL + 1.0 LL CHECKERED 3 + 1.0 SL +X -24.595 1261.918 -21.742 -21.16 -1.058 65.651 1.05 2.1 2.205
22 1.2 DL + 1.0 LL CHECKERED 4 + 1.0 SL +X -22.414 1252.354 -1.673 1.577 -1.057 63.122 1.03 2.06 2.1218
23 1.2 DL + 1.0 LL + 1.0 SL -X 17.667 1597.955 -15.138 -16.027 0.888 -55.505 1.12 2.24 2.5088
24 1.2 DL + 1.0 LL CHECKERED 1 + 1.0 SL -X 9.585 1311.094 -14.59 -15.517 0.893 -46.543 1.03 2.06 2.1218
25 1.2 DL + 1.0 LL CHECKERED 2 + 1.0 SL -X 31.268 1278.661 -10.349 -10.719 0.892 -71.124 1.04 2.08 2.1632
26 1.2 DL + 1.0 LL CHECKERED 3 + 1.0 SL -X 19.336 1299.66 -22.504 -24.486 0.892 -57.569 1.05 2.1 2.205
27 1.2 DL + 1.0 LL CHECKERED 4 + 1.0 SL -X 21.517 1290.095 -2.435 -1.749 0.893 -60.098 1.04 2.08 2.1632
28 1.2 DL + 1.0 LL + 1.0 SL +Z -5.082 1532.643 -48.015 -105.626 0.625 6.592 1.1 2.2 2.42
29 1.2 DL + 1.0 LL CHECKERED 1 + 1.0 SL +Z -13.165 1245.782 -47.467 -105.116 0.63 15.553 1.04 2.08 2.1632
30 1.2 DL + 1.0 LL CHECKERED 2 + 1.0 SL +Z 8.519 1213.348 -43.226 -100.317 0.629 -9.027 1.01 2.02 2.0402
31 1.2 DL + 1.0 LL CHECKERED 3 + 1.0 SL +Z -3.414 1234.347 -55.381 -114.085 0.629 4.528 1.02 2.04 2.0808
32 1.2 DL + 1.0 LL CHECKERED 4 + 1.0 SL +Z -1.233 1224.783 -35.312 -91.348 0.63 1.999 0.99 1.98 1.9602
33 1.2 DL + 1.0 LL + 1.0 SL -Z -3.514 1625.526 18.5 76.897 -0.798 5.619 1.1 2.2 2.42
34 1.2 DL + 1.0 LL CHECKERED 1 + 1.0 SL -Z -11.597 1338.665 19.048 77.408 -0.794 14.58 1.04 2.08 2.1632
35 1.2 DL + 1.0 LL CHECKERED 2 + 1.0 SL -Z 10.087 1306.231 23.29 82.206 -0.794 -10 1.02 2.04 2.0808
36 1.2 DL + 1.0 LL CHECKERED 3 + 1.0 SL -Z -1.845 1327.23 11.134 68.438 -0.795 3.554 1.01 2.02 2.0402
37 1.2 DL + 1.0 LL CHECKERED 4 + 1.0 SL -Z 0.335 1317.666 31.204 91.175 -0.794 1.025 1.02 2.04 2.0808
38 0.9 DL + 1.0 SL +X -21.041 724.325 -6.684 -4.743 -1.034 61.185 0.87 1.74 1.5138
39 0.9 DL + 1.0 SL -X 22.89 762.067 -7.446 -8.069 0.916 -62.035 0.89 1.78 1.5842
40 0.9 DL + 1.0 SL +Z 0.14 696.754 -40.322 -97.667 0.652 0.062 0.83 1.66 1.3778
41 0.9 DL + 1.0 SL -Z 1.709 789.637 26.193 84.856 -0.771 -0.911 0.85 1.7 1.445
42 1.2 DL + 1.2 FL + 0.8 LL -3.192 1461.461 -13.687 -13.182 -0.085 4.774 1 2 2
43 1.2 DL + 1.2 FL + 0.8 LL CHECKERED 1 -9.659 1231.972 -13.249 -12.774 -0.081 11.944 0.94 1.88 1.7672
44 1.2 DL + 1.2 FL + 0.8 LL CHECKERED 2 7.688 1206.025 -9.855 -8.936 -0.082 -7.721 0.92 1.84 1.6928
45 1.2 DL + 1.2 FL + 0.8 LL CHECKERED 3 -1.858 1222.825 -19.58 -19.95 -0.082 3.123 0.92 1.84 1.6928
46 1.2 DL + 1.2 FL + 0.8 LL CHECKERED 4 -0.113 1215.173 -3.524 -1.76 -0.081 1.1 0.9 1.8 1.62
NODE LOAD CASE FX FY FZ MX MY MZ B L BXL
101 12 1.4DL -1.874 1159.002 15.028 19.099 -0.092 2.657 0.9 1.8 1.62
13 1.2 DL + 1,6 LL 5.804 1912.806 22.839 27.97 -0.091 -5.542 1.15 2.3 2.645
14 1.2 DL + 1,6 LL CHECKERED 1 18.399 1458.072 21.783 26.631 -0.084 -20.115 1.04 2.08 2.1632
15 1.2 DL + 1,6 LL CHECKERED 2 -14.193 1412.679 13.897 17.666 -0.085 16.847 1.01 2.02 2.0402
16 1.2 DL + 1,6 LL CHECKERED 3 4.528 1445.966 33.55 39.973 -0.085 -4.342 1.02 2.04 2.0808
17 1.2 DL + 1,6 LL CHECKERED 4 -0.322 1424.786 2.131 4.324 -0.084 1.075 0.97 1.94 1.8818
18 1.2 DL + 1,0 LL + 1.0 SL +X -16.83 1589.295 17.179 18.039 -1.062 51.978 1.12 2.24 2.5088
19 1.2 DL + 1.0 LL CHECKERED 1 + 1.0 SL +X -8.958 1305.086 16.519 17.202 -1.057 42.87 1.02 2.04 2.0808
20 1.2 DL + 1.0 LL CHECKERED 2 + 1.0 SL +X -29.328 1276.715 11.59 11.599 -1.058 65.971 1.05 2.1 2.205
21 1.2 DL + 1.0 LL CHECKERED 3 + 1.0 SL +X -17.627 1297.519 23.873 25.541 -1.058 52.728 1.05 2.1 2.205
22 1.2 DL + 1.0 LL CHECKERED 4 + 1.0 SL +X -20.658 1284.282 4.236 3.26 -1.057 56.113 1.02 2.04 2.0808
23 1.2 DL + 1.0 LL + 1.0 SL -X 22.879 1546.786 21.031 29.202 0.888 -57.197 1.12 2.24 2.5088
24 1.2 DL + 1.0 LL CHECKERED 1 + 1.0 SL -X 30.751 1262.577 20.371 28.365 0.893 -66.305 1.06 2.12 2.2472
25 1.2 DL + 1.0 LL CHECKERED 2 + 1.0 SL -X 10.381 1234.206 15.442 22.761 0.892 -43.204 1.01 2.02 2.0402
26 1.2 DL + 1.0 LL CHECKERED 3 + 1.0 SL -X 22.082 1255.01 27.725 36.703 0.892 -56.448 1.05 2.1 2.205
27 1.2 DL + 1.0 LL CHECKERED 4 + 1.0 SL -X 19.051 1241.773 8.088 14.423 0.893 -53.062 1.02 2.04 2.0808
28 1.2 DL + 1.0 LL + 1.0 SL +Z 0.963 1611.007 -12.81 -62.74 0.625 2.704 1.08 2.16 2.3328
29 1.2 DL + 1.0 LL CHECKERED 1 + 1.0 SL +Z 8.835 1326.798 -13.47 -63.577 0.63 -6.404 1.01 2.02 2.0402
30 1.2 DL + 1.0 LL CHECKERED 2 + 1.0 SL +Z -11.535 1298.428 -18.399 -69.181 0.629 16.697 1.02 2.04 2.0808
31 1.2 DL + 1.0 LL CHECKERED 3 + 1.0 SL +Z 0.166 1319.232 -6.116 -55.239 0.629 3.454 0.99 1.98 1.9602
32 1.2 DL + 1.0 LL CHECKERED 4 + 1.0 SL +Z -2.865 1305.994 -25.753 -77.519 0.63 6.84 1.01 2.02 2.0402
33 1.2 DL + 1.0 LL + 1.0 SL -Z 5.086 1525.073 51.02 109.981 -0.798 -7.924 1.1 2.2 2.42
34 1.2 DL + 1.0 LL CHECKERED 1 + 1.0 SL -Z 12.958 1240.864 50.36 109.144 -0.794 -17.032 1.04 2.08 2.1632
35 1.2 DL + 1.0 LL CHECKERED 2 + 1.0 SL -Z -7.412 1212.494 45.431 103.541 -0.794 6.07 1.01 2.02 2.0402
36 1.2 DL + 1.0 LL CHECKERED 3 + 1.0 SL -Z 4.289 1233.298 57.714 117.483 -0.795 -7.174 1.03 2.06 2.1218
37 1.2 DL + 1.0 LL CHECKERED 4 + 1.0 SL -Z 1.258 1220.06 38.077 95.202 -0.794 -3.788 1 2 2
38 0.9 DL + 1.0 SL +X -21.059 766.327 7.735 6.696 -1.034 56.296 0.88 1.76 1.5488
39 0.9 DL + 1.0 SL -X 18.65 723.818 11.587 17.859 0.916 -52.879 0.87 1.74 1.5138
40 0.9 DL + 1.0 SL +Z -3.266 788.04 -22.254 -74.083 0.652 7.022 0.85 1.7 1.445
41 0.9 DL + 1.0 SL -Z 0.857 702.105 41.576 98.638 -0.771 -3.606 0.84 1.68 1.4112
42 1.2 DL + 1.2 FL + 0.8 LL 2.098 1455.315 17.819 22.139 -0.085 -1.627 1 2 2
43 1.2 DL + 1.2 FL + 0.8 LL CHECKERED 1 8.396 1227.948 17.291 21.47 -0.081 -8.913 0.94 1.88 1.7672
44 1.2 DL + 1.2 FL + 0.8 LL CHECKERED 2 -7.9 1205.251 13.348 16.987 -0.082 9.568 0.93 1.86 1.7298
45 1.2 DL + 1.2 FL + 0.8 LL CHECKERED 3 1.46 1221.894 23.174 28.141 -0.082 -1.027 0.93 1.86 1.7298
46 1.2 DL + 1.2 FL + 0.8 LL CHECKERED 4 -0.965 1211.304 7.464 10.316 -0.081 1.682 0.91 1.82 1.6562
NODE LOAD CASE FX FY FZ MX MY MZ B L BXL
102 12 1.4DL 1.595 1153.8 15.364 19.918 -0.092 -1.276 0.9 1.8 1.62
13 1.2 DL + 1,6 LL -6.251 1912.005 23.159 28.767 -0.091 8.127 1.15 2.3 2.645 CRITICAL NODE
14 1.2 DL + 1,6 LL CHECKERED 1 -19.28 1455.154 22.008 27.284 -0.084 22.609 1.04 2.08 2.1632
15 1.2 DL + 1,6 LL CHECKERED 2 14.375 1410.463 14.272 18.494 -0.085 -15.546 1.01 2.02 2.0402
16 1.2 DL + 1,6 LL CHECKERED 3 -5.067 1443.401 33.956 40.838 -0.085 6.537 1.02 2.04 2.0808
17 1.2 DL + 1,6 LL CHECKERED 4 0.163 1422.216 2.324 4.94 -0.084 0.525 0.97 1.94 1.8818
18 1.2 DL + 1,0 LL + 1.0 SL +X -22.851 1557.095 19.768 26.015 -1.062 58.805 1.13 2.26 2.5538
19 1.2 DL + 1.0 LL CHECKERED 1 + 1.0 SL +X -30.993 1271.564 19.049 25.088 -1.057 67.856 1.06 2.12 2.2472
20 1.2 DL + 1.0 LL CHECKERED 2 + 1.0 SL +X -9.959 1243.632 14.214 19.595 -1.058 44.009 1.01 2.02 2.0402
21 1.2 DL + 1.0 LL CHECKERED 3 + 1.0 SL +X -22.11 1264.218 26.516 33.56 -1.058 57.811 1.05 2.1 2.205
22 1.2 DL + 1.0 LL CHECKERED 4 + 1.0 SL +X -18.842 1250.977 6.746 11.124 -1.057 54.054 1.02 2.04 2.0808
23 1.2 DL + 1.0 LL + 1.0 SL -X 16.062 1574.639 19.058 22.747 0.888 -49.467 1.11 2.22 2.4642
24 1.2 DL + 1.0 LL CHECKERED 1 + 1.0 SL -X 7.919 1289.108 18.338 21.821 0.893 -40.416 1.02 2.04 2.0808
25 1.2 DL + 1.0 LL CHECKERED 2 + 1.0 SL -X 28.953 1261.176 13.503 16.327 0.892 -64.263 1.05 2.1 2.205
26 1.2 DL + 1.0 LL CHECKERED 3 + 1.0 SL -X 16.802 1281.762 25.805 30.292 0.892 -50.46 1.04 2.08 2.1632
27 1.2 DL + 1.0 LL CHECKERED 4 + 1.0 SL -X 20.07 1268.521 6.036 7.856 0.893 -54.218 1.03 2.06 2.1218
28 1.2 DL + 1.0 LL + 1.0 SL +Z -4.925 1598.372 -13.722 -66.742 0.625 9.38 1.09 2.18 2.3762
29 1.2 DL + 1.0 LL CHECKERED 1 + 1.0 SL +Z -13.067 1312.841 -14.442 -67.669 0.63 18.431 1.03 2.06 2.1218
30 1.2 DL + 1.0 LL CHECKERED 2 + 1.0 SL +Z 7.967 1284.909 -19.277 -73.162 0.629 -5.416 1 2 2
31 1.2 DL + 1.0 LL CHECKERED 3 + 1.0 SL +Z -4.184 1305.496 -6.975 -59.198 0.629 8.387 1 2 2
32 1.2 DL + 1.0 LL CHECKERED 4 + 1.0 SL +Z -0.916 1292.255 -26.744 -81.633 0.63 4.629 1.01 2.02 2.0402
33 1.2 DL + 1.0 LL + 1.0 SL -Z -1.865 1533.362 52.549 115.505 -0.798 -0.042 1.1 2.2 2.42
34 1.2 DL + 1.0 LL CHECKERED 1 + 1.0 SL -Z -10.007 1247.831 51.829 114.578 -0.794 9.009 1.03 2.06 2.1218
35 1.2 DL + 1.0 LL CHECKERED 2 + 1.0 SL -Z 11.027 1219.899 46.994 109.084 -0.794 -14.838 1.03 2.06 2.1218
36 1.2 DL + 1.0 LL CHECKERED 3 + 1.0 SL -Z -1.124 1240.485 59.296 123.049 -0.795 -1.036 1.02 2.04 2.0808
37 1.2 DL + 1.0 LL CHECKERED 4 + 1.0 SL -Z 2.144 1227.244 39.527 100.613 -0.794 -4.793 1.01 2.02 2.0402
38 0.9 DL + 1.0 SL +X -18.431 732.957 10.232 14.438 -1.034 53.315 0.87 1.74 1.5138
39 0.9 DL + 1.0 SL -X 20.481 750.501 9.522 11.171 0.916 -54.956 0.87 1.74 1.5138
40 0.9 DL + 1.0 SL +Z -0.505 774.234 -23.259 -78.319 0.652 3.891 0.84 1.68 1.4112
41 0.9 DL + 1.0 SL -Z 2.555 709.223 43.013 103.928 -0.771 -5.532 0.85 1.7 1.445
42 1.2 DL + 1.2 FL + 0.8 LL -2.444 1452.749 18.121 22.884 -0.085 3.524 1 2 2
43 1.2 DL + 1.2 FL + 0.8 LL CHECKERED 1 -8.958 1224.324 17.545 22.143 -0.081 10.764 0.94 1.88 1.7672
44 1.2 DL + 1.2 FL + 0.8 LL CHECKERED 2 7.869 1201.978 13.677 17.748 -0.082 -8.313 0.93 1.86 1.7298
45 1.2 DL + 1.2 FL + 0.8 LL CHECKERED 3 -1.852 1218.447 23.519 28.92 -0.082 2.729 0.93 1.86 1.7298
46 1.2 DL + 1.2 FL + 0.8 LL CHECKERED 4 0.763 1207.854 7.703 10.971 -0.081 -0.277 0.9 1.8 1.62
TABULATED SUMMARY OF CRITICAL LOAD PER LOAD CASE (RECTANGULAR FOOTING)
NODE LOAD CASE Fy (kN) Mx (kN·m) Mz (kN·m) B L BxL
150 13 1.2 DL + 1.6 LL 1822.797 -16.831 -12.925 1.12 2.24 2.5088
NODE LOAD CASE Fy (kN) Mx (kN·m) Mz (kN·m) B L BxL
151 13 1.2 DL + 1.6 LL 1931.979 -17.858 10.108 1.15 2.3 2.645
NODE LOAD CASE Fy (kN) Mx (kN·m) Mz (kN·m) B L BxL
101 13 1.2 DL + 1.6 LL 1912.806 27.97 -5.542 1.15 2.3 2.645
CRITICAL LOAD CASE Fy (kN) Mx (kN·m) Mz (kN·m) B L BxL
NODE 12 1.4DL 1153.8 19.918 -1.276 0.9 1.8 1.62
102 13 1.2 DL + 1,6 LL 1912.005 28.767 8.127 1.16 2.3 2.645
14 1.2 DL + 1,6 LL CHECKERED 1 1455.154 27.284 22.609 1.04 2.08 2.1632
15 1.2 DL + 1,6 LL CHECKERED 2 1410.463 18.494 -15.546 1.01 2.02 2.0402
16 1.2 DL + 1,6 LL CHECKERED 3 1443.401 40.838 6.537 1.02 2.04 2.0808
17 1.2 DL + 1,6 LL CHECKERED 4 1422.216 4.94 0.525 0.97 1.94 1.8818
18 1.2 DL + 1,0 LL + 1.0 SL +X 1557.095 26.015 58.805 1.13 2.26 2.5538
19 1.2 DL + 1.0 LL CHECKERED 1 + 1.0 SL +X 1271.564 25.088 67.856 1.06 2.12 2.2472
20 1.2 DL + 1.0 LL CHECKERED 2 + 1.0 SL +X 1243.632 19.595 44.009 1.01 2.02 2.0402
21 1.2 DL + 1.0 LL CHECKERED 3 + 1.0 SL +X 1264.218 33.56 57.811 1.05 2.1 2.205
22 1.2 DL + 1.0 LL CHECKERED 4 + 1.0 SL +X 1250.977 11.124 54.054 1.02 2.04 2.0808
23 1.2 DL + 1.0 LL + 1.0 SL -X 1574.639 22.747 -49.467 1.11 2.22 2.4642
24 1.2 DL + 1.0 LL CHECKERED 1 + 1.0 SL -X 1289.108 21.821 -40.416 1.02 2.04 2.0808
25 1.2 DL + 1.0 LL CHECKERED 2 + 1.0 SL -X 1261.176 16.327 -64.263 1.05 2.1 2.205
26 1.2 DL + 1.0 LL CHECKERED 3 + 1.0 SL -X 1281.762 30.292 -50.46 1.04 2.08 2.1632
27 1.2 DL + 1.0 LL CHECKERED 4 + 1.0 SL -X 1268.521 7.856 -54.218 1.03 2.06 2.1218
28 1.2 DL + 1.0 LL + 1.0 SL +Z 1598.372 -66.742 9.38 1.09 2.18 2.3762
29 1.2 DL + 1.0 LL CHECKERED 1 + 1.0 SL +Z 1312.841 -67.669 18.431 1.03 2.06 2.1218
30 1.2 DL + 1.0 LL CHECKERED 2 + 1.0 SL +Z 1284.909 -73.162 -5.416 1 2 2
31 1.2 DL + 1.0 LL CHECKERED 3 + 1.0 SL +Z 1305.496 -59.198 8.387 1 2 2
32 1.2 DL + 1.0 LL CHECKERED 4 + 1.0 SL +Z 1292.255 -81.633 4.629 1.01 2.02 2.0402
33 1.2 DL + 1.0 LL + 1.0 SL -Z 1533.362 115.505 -0.042 1.1 2.2 2.42
34 1.2 DL + 1.0 LL CHECKERED 1 + 1.0 SL -Z 1247.831 114.578 9.009 1.03 2.06 2.1218
35 1.2 DL + 1.0 LL CHECKERED 2 + 1.0 SL -Z 1219.899 109.084 -14.838 1.03 2.06 2.1218
36 1.2 DL + 1.0 LL CHECKERED 3 + 1.0 SL -Z 1240.485 123.049 -1.036 1.02 2.04 2.0808
37 1.2 DL + 1.0 LL CHECKERED 4 + 1.0 SL -Z 1227.244 100.613 -4.793 1.01 2.02 2.0402
38 0.9 DL + 1.0 SL +X 732.957 14.438 53.315 0.87 1.74 1.5138
39 0.9 DL + 1.0 SL -X 750.501 11.171 -54.956 0.87 1.74 1.5138
40 0.9 DL + 1.0 SL +Z 774.234 -78.319 3.891 0.84 1.68 1.4112
41 0.9 DL + 1.0 SL -Z 709.223 103.928 -5.532 0.85 1.7 1.445
42 1.2 DL + 1.2 FL + 0.8 LL 1452.749 22.884 3.524 1 2 2
43 1.2 DL + 1.2 FL + 0.8 LL CHECKERED 1 1224.324 22.143 10.764 0.94 1.88 1.7672
44 1.2 DL + 1.2 FL + 0.8 LL CHECKERED 2 1201.978 17.748 -8.313 0.93 1.86 1.7298
45 1.2 DL + 1.2 FL + 0.8 LL CHECKERED 3 1218.447 28.92 2.729 0.93 1.86 1.7298
46 1.2 DL + 1.2 FL + 0.8 LL CHECKERED 4 1207.854 10.971 -0.277 0.9 1.8 1.62
ANALYSIS & DESIGN OF ISOLATED RECTANGULAR FOOTING SUBJECTED TO BI-AXIAL BENDING
COMPUTATION FOR DIMENSION OF FOOTING
Given: qult = 773.73 kPa *Computation for Dimensions of Footing:
f'c = 21 MPa
fy = 275 MPa Pu 6Mux 6Muy
knowing that; f= ± ±
A B²L BL² where L = 2B
Designing the dimension of the Footing
Reactions (from STAAD)
NODE LOAD CASE # so;
Pu (kN) Mux (kN.m) Muz (kN.m)
102 13 1912.005 28.767 8.127 Pu ± 6Mux ± 6Muy
f=
2B² 2B³ 4B³
1912.005 (6)( 28.767 ) (6)( 8.127 )
773.734 = + +
2B² 2B³ 4B³
773.734 B³ + -956.0025 B + -98.4915 = 0
using the GREAT Calculator: B= 1.16 m
L= 2.32 m
*Check for Stability: (positive value denotes not uplift)
Pu 6Mux 6Muy
qmin = ± ±
A B²L BL²
1912.005 ( 6 ) ( 28.767 ) (6)( 8.127 )
qmin = - -
( 1.16 ) ( 2.32 ) 1.16 ² ( 2.32 ) 1.16 ( 2.32 ) ²
qmin = 647.3662563 kPa ok!
*Check for Capacity:
ex = Mx / P = 0.0150455 m
ez = Mz / P = 0.0042505 m
Pall = B' L' qa = (B - 2ex) (L - 2ez ) (qa)
Pall = 2020.8258 kN > 1912.005 kN ok!
ANALYSIS & DESIGN OF ISOLATED RECTANGULAR FOOTING SUBJECTED TO BI-AXIAL BENDING
COMPUTATION FOR THICKNESS OF FOOTING
NODE 102
LOAD CASE 13
Given: B= 1.16 m Figure:
L= 2.3 m
c1 = 0.5 m
c2 = 0.5 m
Pu = 1912.005 kN
Mx = 28.767 kN·m
Mz = 8.127 kN·m
qu = 773.734 kPa
f'c = 21 MPa
fy = 275 MPa
*Ultimate Soil Pressure:
1912.005 ( 6 ) ( 28.767 ) (6)( 8.127 )
qua = + - ; qua = 764.46737557 kPa
( 1.16 ) ( 2.3 ) 1.16 ² ( 2.3 ) 1.16 ( 2.3 )²
1912.005 ( 6 ) ( 28.767 ) (6)( 8.127 )
qub = + + ; qub = 780.36008139 kPa
( 1.16 ) ( 2.3 ) 1.16 ² ( 2.3 ) 1.16 ( 2.3 )²
1912.005 ( 6 ) ( 28.767 ) (6)( 8.127 )
quc = - + ; quc = 668.81973088 kPa
( 1.16 ) ( 2.3 ) 1.16 ² ( 2.3 ) 1.16 ( 2.3 )²
1912.005 ( 6 ) ( 28.767 ) (6)( 8.127 )
qud = - - ; qud = 652.92702506 kPa
( 1.16 ) ( 2.3 ) 1.16 ² ( 2.3 ) 1.16 ( 2.3 )²
*Solving "d":
[1 of 3] for One-Way Shear @ 1 - 1 :
x = [( 2.3 - 0.5 )/ 2] - d ; x= 0.9 - d
· solving for q1c : (front) similar triangles:
quc- q1c quc - qud
=
x L
668.81973 - q1c 668.81973 - 652.92703
=
0.9 - d 2.3
q1c = -6.9098721 ( 0.9 - d ) + 668.81973
q1c = 662.60085 + 6.9098721 d
· solving for q1b : (back) similar triangles:
qub - q1b qub - qua
=
x L
780.36008 - q1b 780.36008 - 764.46738
=
0.9 - d 2.3
q1b = -6.9098721 ( 0.9 - d ) + 780.36008
q1b = 774.1412 + 6.9098721 d
so, quave. = ( 662.60085 + 6.9098721 d )+( 774.1412 + 6.9098721 d ) + 668.81973 + 780.36008
4
quave. = 721.48046 + 3.454936 d
; knowing that Vu = (quave)(x)(L) and Vu = ØVc where Ø=0.75 and Vc=(1/6)(√f'c)(b)(d)
Vu= ( 721.48046 + 3.454936 d ) ( 0.9 - d ) ( 2.3 ) = (0.75) (0.11) ( √ 21 ) ( 2300 ) (d)
Vu = 1493.4646 + -1652.2533 d + -7.9463529 d² = 869.54374 d
Vu = 1493.4646 + -2521.7971 d + -7.9463529 d² = 0
using the Quadratic formula: d= -317.94389 m
; d= 0.5911213 m
d= 0.5911213 m
d= 0.6 m
[2 of 3] for One-Way Shear @ 2 - 2 :
y = [( 1.16 - 0.5 )/ 2] - d ; y= 0.33 - d
· solving for q2b : (right) similar triangles:
qub - q2b qub - quc
=
y B
780.36008 - q2b 780.36008 - 668.81973
=
0.33 - d 1.16
q2b = -96.155475 ( 0.33 - d ) + 780.36008
q2b = 748.62877 + 96.155475 d
· solving for q2a : (left) similar triangles:
qua- q2a qua - qud
=
x B
764.46738 - q2a 764.46738 - 652.92703
=
0.33 - d 1.16
q2a = -96.155475 ( 0.33 - d ) + 764.46738
q2a = 732.73607 + 96.155475 d
so, quave. = ( 748.62877 + 96.155475 d ) + ( 732.73607 + 96.155475 d ) + 780.36008 + 764.46738
4
quave. = 756.54808 + 48.077737 d
; knowing that Vu = (quave)(y)(B) and Vu = ØVc where Ø=0.75 and Vc=(1/6)(√f'c)(b)(d)
Vu= ( 756.54808 + 48.077737 d ) ( 0.33 - d ) ( 1.16 ) = (0.75) (0.11) ( √ 21 ) ( 1160 ) (d)
Vu = 289.6066 + -859.19161 d + -55.770175 d² = 438.55249 d
Vu = 289.6066 + -1297.7441 d + -55.770175 d² = 664.47
using the Quadratic formula: d= -23.490562 m
; d= 0.2210615 m
d= 0.2210615 m
d= 0.23 m
[3 of 3] for Two-Way Shear / Punching :
Vu = (quave)(Area of Shear Plane) and Vu = ØVc
where:
quave. = ( qua + qub + quc + qud ) / 4
Area of Shear Plane = BL - ( 0.5 + d )²
Ø=0.75 and Vc=(1/3)(√f'c)(bo)(d)
; bo = 2(c1+d) + 2(c2+d) =
· quave. = 716.64355 kPa
· Area of Shear Plane = 2.668 - ( 0.5 + d )²
· ØVc = (0.75) (2)(0.11) ( √ 21 ) ( 2 + 4d ) (d)
ØVc = 2291.2878 d + 3024.5 d²
Vu= ( 716.64355 ) [ 2.668 - ( 0.5 + d )² ] = 2291.2878 d + 3024.5 d²
Vu = 1911.755 + -3007.9314 d + -3741.1435 d² = 0
using the Quadratic formula: d= -1.2221397 m
; d= 0.4181258 m
d= 0.4181258 m
d= 0.42 m
thus; d= 0.6 m or simply d= 600 mm USE THIS!
so, thickness (t) = 600 + 95 ; t= 695 mm
ANALYSIS & DESIGN OF ISOLATED SQUARE FOOTING SUBJECTED TO BI-AXIAL BENDING
DESIGN OF REBARS
[1 of 2] Design of Rebars Parallel to "B" :
x = [( 2.3 - 0.5 )/ 2] ; x= 0.9
· solving for qsc & xa : (front) similar triangles:
quc - qsc quc - qud
=
x L
668.81973 - qsc 668.81973 - 652.92703
=
0.9 2.3
qsc = -6.9098721 ( 0.9 ) + 668.81973
qsc = 662.60085
xa [ 1/2 ( 662.60085 + 668.81973 ) ( 0.9 ) ] = 662.60085 ( 0.9 )² / 2
+ 1/2 ( 668.81973 - 662.60085 ) ( 0.9 )² (2/3)
xa = 0.4507006 m
· solving for qsb & xb : (back) similar triangles:
qub - qsb qub - qua
=
x L
780.36008 - qsb 780.36008 - 764.46738
=
0.9 2.3
qsb = -6.9098721 ( 0.9 ) + 780.36008
qsb = 774.1412
xb [ 1/2 ( 774.1412 + 780.36008 ) ( 0.9 )]= 774.1412 ( 0.9 )² / 2
+ 1/2 ( 780.36008 - 774.1412 ) ( 0.9 )² (2/3)
xb = 0.4506001 m
so, x̅ = ( xa + xb ) / 2 ; x̅ = 0.4506504 m & quave. = (qsc + qsb + quc + qub) / 4 ; quave. = 721.48046 kPa
;knowing that : Mus = ( U ) ( x̅ ) where U = (quave.) (B) (x)
*U = ( 721.48046 ) ( 1.16 ) ( 0.9 ) ; U= 753.2256 kN
*Mus = ( 753.2256 ) ( 0.4506504 ) ; Mus = 339.44139 kN·m
Mu 339.4414 x10⁶
· Rn = = ; Rn = 0.903154 MPa
Ø b d² 0.9 ( 1160 )( 600 )²
fy 275
·M= = ; M = 15.406162 kN·m
0.85 f'c 0.85 ( 21 )
1 (2) (Rn) (M) 1 2 ( 0.903154 ) ( 15.406162 )
·ρ=
M {
1 - √ [1- fy ] = 15.406162 1 - √ } { [1- 275 ]}
ρ= 0.00337
1.4 1.4
· ρmin = = ; ρmin = 0.00509
fy 275
; ρ < ρmin use: ρmin
· As = ( ρmin ) (b) (d) = ( 0.00509 ) ( 1160 ) ( 600 ) ; As = 3543.2727 mm
# of bars: N16 = 18 N20 = 12 N25 = 8 N28 = 6
use: 8 - 25 mm Ø bar
1160 -2 ( 75 )- 25
spacing (s) =
8 - 1
s = 140.71429 mm ; s≈ 120 mm
USE: 8 - 25 mm Ø bar spaced @ 120 mm O.C.
[2 of 2] Design of Rebars Parallel to "L" :
y = [( 1.16 - 0.5 )/ 2] ; x= 0.33
· solving for qlb & ya : (right) similar triangles:
qub - qlb qub - quc
=
y B
780.36008 - qlb 780.36008 - 668.81973
=
0.33 1.16
qlb = -96.155475 ( 0.33 ) + 780.36008
qlb = 748.62877
ya [ 1/2 ( 748.62877 + 780.36008 ) ( 0.33 ) ] = 748.62877 ( 0.33 )² / 2
+ 1/2 ( 780.36008 - 748.62877 ) ( 0.33 )² (2/3)
ya = 0.1661414 m
· solving for qla & yb : (left) similar triangles:
qua - qla qua - qud
=
y B
764.46738 - qsb 764.46738 - 652.92703
=
0.33 1.16
qsb = -96.155475 ( 0.33 ) + 764.46738
qsb = 732.73607
yb [ 1/2 ( 732.73607 + 764.46738 ) ( 0.33 ) ] = 732.73607 ( 0.33 )² / 2
+ 1/2 ( 764.46738 - 732.73607 ) ( 0.33 )² (2/3)
yb = 0.1661657 m
so, y̅ = ( ya + yb ) / 2 ; y̅ = 0.1661535 m & quave. = (qsc + qsb + qub + qua) / 4 ; quave. = 756.54808 kPa
;knowing that : Mls = ( U ) ( y̅ ) where U = (quave.) (L) (y)
*U = ( 756.54808 ) ( 2.3 ) ( 0.33 ) ; U= 574.21999 kN
*Mus = ( 574.21999 ) ( 0.1661535 ) ; Mus = 95.408683 kN·m
Mu 95.4087 x10⁶
· Rn = = ; Rn = 0.128031 MPa
Ø b d² 0.9 ( 2300 )( 600 )²
fy 275
·M= = ; M = 15.406162 kN·m
0.85 f'c 0.85 ( 21 )
1 (2) (Rn) (M) 1 2 ( 0.128031 ) ( 15.406162 )
·ρ=
M {
1 - √ [1- fy ] = 15.406162 1 - √ } { [1- 275 ]}
ρ= 0.00047
1.4 1.4
· ρmin = = ; ρmin = 0.00509
fy 275
; ρ < ρmin use: ρmin
· As = ( ρmin ) (b) (d) = ( 0.00509 ) ( 2300 ) ( 600 ) ; As = 7025.4545 mm
# of bars: N16 = 35 N20 = 23 N25 = 15 N28 = 12
use: 15 - 25 mm Ø bar
2300 -2 ( 75 )- 25
spacing (s) =
15 - 1
s = 151.78571 mm ; s≈ 150 mm
USE: 15 - 25 mm Ø bar spaced @ 150 mm O.C.
BASE: LENGTH: THICKNESS:
B= 1.16 m L= 2.3 m t= 695 m
SUMMARY: BOTTOM BARS: 8 - 25 mm Ø bar spaced @ 120 mm O.C.
TOP BARS: 15 - 25 mm Ø bar spaced @ 150 mm O.C.
FOOTING 1 FOOTING 2
NODE LOAD CASE FY MX MZ FY
152 - 201 12 1.4DL 1796.017 7.827 4.03 2240.474
13 1.2 DL + 1,6 LL 1985.855 4.746 6.787 2428.188
14 1.2 DL + 1,6 LL CHECKERED 1 1725.332 5.122 3.255 2128.356
15 1.2 DL + 1,6 LL CHECKERED 2 1761.822 6.288 6.835 2169.904
16 1.2 DL + 1,6 LL CHECKERED 3 1756.309 3.583 4.133 2157.692
17 1.2 DL + 1,6 LL CHECKERED 4 1730.845 7.827 5.957 2140.568
18 1.2 DL + 1,0 LL + 1.0 SL +X 753.609 6.294 72.998 149.316
19 1.2 DL + 1.0 LL CHECKERED 1 + 1.0 SL +X 590.781 6.529 70.791 -38.079
20 1.2 DL + 1.0 LL CHECKERED 2 + 1.0 SL +X 613.588 7.259 73.028 -12.112
21 1.2 DL + 1.0 LL CHECKERED 3 + 1.0 SL +X 610.142 5.568 71.34 -19.744
22 1.2 DL + 1.0 LL CHECKERED 4 + 1.0 SL +X 594.227 8.22 72.48 -30.447
23 1.2 DL + 1.0 LL + 1.0 SL -X 2883.293 4.669 -61.924 4326.224
24 1.2 DL + 1.0 LL CHECKERED 1 + 1.0 SL -X 2720.466 4.904 -64.131 4138.829
25 1.2 DL + 1.0 LL CHECKERED 2 + 1.0 SL -X 2743.272 5.634 -61.894 4164.796
26 1.2 DL + 1.0 LL CHECKERED 3 + 1.0 SL -X 2739.827 3.943 -63.582 4157.164
27 1.2 DL + 1.0 LL CHECKERED 4 + 1.0 SL -X 2723.912 6.595 -62.442 4146.461
28 1.2 DL + 1.0 LL + 1.0 SL +Z 164.547 -118.371 13.396 4475.422
29 1.2 DL + 1.0 LL CHECKERED 1 + 1.0 SL +Z 1.72 -118.136 11.189 4288.027
30 1.2 DL + 1.0 LL CHECKERED 2 + 1.0 SL +Z 24.527 -117.407 13.426 4313.994
31 1.2 DL + 1.0 LL CHECKERED 3 + 1.0 SL +Z 21.081 -119.098 11.737 4306.362
32 1.2 DL + 1.0 LL CHECKERED 4 + 1.0 SL +Z 5.166 -116.445 12.878 4295.659
33 1.2 DL + 1.0 LL + 1.0 SL -Z 3472.354 129.335 -2.322 0.118
34 1.2 DL + 1.0 LL CHECKERED 1 + 1.0 SL -Z 3309.527 129.57 -4.529 -187.277
35 1.2 DL + 1.0 LL CHECKERED 2 + 1.0 SL -Z 3332.333 130.299 -2.292 -161.31
36 1.2 DL + 1.0 LL CHECKERED 3 + 1.0 SL -Z 3328.888 128.608 -3.98 -168.942
37 1.2 DL + 1.0 LL CHECKERED 4 + 1.0 SL -Z 3312.973 131.261 -2.84 -179.645
38 0.9 DL + 1.0 SL +X 89.74 5.844 70.052 -648.149
39 0.9 DL + 1.0 SL -X 2219.425 4.219 -64.87 3528.759
40 0.9 DL + 1.0 SL +Z -499.321 -118.821 10.45 3677.957
41 0.9 DL + 1.0 SL -Z 2808.486 128.885 -5.268 -797.347
42 1.2 DL + 1.2 FL + 0.8 LL 1763.349 5.746 5.125 2173.003
43 1.2 DL + 1.2 FL + 0.8 LL CHECKERED 1 1633.087 5.934 3.359 2023.087
44 1.2 DL + 1.2 FL + 0.8 LL CHECKERED 2 1651.332 6.517 5.15 2043.861
45 1.2 DL + 1.2 FL + 0.8 LL CHECKERED 3 1648.576 5.164 3.798 2037.755
46 1.2 DL + 1.2 FL + 0.8 LL CHECKERED 4 1635.843 7.286 4.71 2029.193
FOOTING 1 FOOTING 2
NODE FY MX MZ FY
153 - 202 12 1.4DL 2027.096 39.775 52.395 1869.671
13 1.2 DL + 1,6 LL 2305.198 34.743 59.056 2115.893
14 1.2 DL + 1,6 LL CHECKERED 1 1978.133 34.331 50.94 1818.184
15 1.2 DL + 1,6 LL CHECKERED 2 2025.998 34.186 51.993 1860.726
16 1.2 DL + 1,6 LL CHECKERED 3 2019.451 32.89 51.688 1850.478
17 1.2 DL + 1,6 LL CHECKERED 4 1984.68 35.626 51.244 1828.432
18 1.2 DL + 1,0 LL + 1.0 SL +X 3864.404 -33.51 239.556 3235.073
19 1.2 DL + 1.0 LL CHECKERED 1 + 1.0 SL +X 3659.989 -33.768 234.483 3049.005
20 1.2 DL + 1.0 LL CHECKERED 2 + 1.0 SL +X 3689.904 -33.858 235.141 3075.594
21 1.2 DL + 1.0 LL CHECKERED 3 + 1.0 SL +X 3685.813 -34.668 234.951 3069.188
22 1.2 DL + 1.0 LL CHECKERED 4 + 1.0 SL +X 3664.081 -32.958 234.673 3055.41
23 1.2 DL + 1.0 LL + 1.0 SL -X 320.226 102.508 -132.053 611.725
24 1.2 DL + 1.0 LL CHECKERED 1 + 1.0 SL -X 115.81 102.251 -137.126 425.657
25 1.2 DL + 1.0 LL CHECKERED 2 + 1.0 SL -X 145.726 102.16 -136.468 452.246
26 1.2 DL + 1.0 LL CHECKERED 3 + 1.0 SL -X 141.634 101.35 -136.658 445.841
27 1.2 DL + 1.0 LL CHECKERED 4 + 1.0 SL -X 119.902 103.06 -136.936 432.062
28 1.2 DL + 1.0 LL + 1.0 SL +Z 279.17 -153.18 21.429 3130.594
29 1.2 DL + 1.0 LL CHECKERED 1 + 1.0 SL +Z 74.755 -153.438 16.356 2944.526
30 1.2 DL + 1.0 LL CHECKERED 2 + 1.0 SL +Z 104.67 -153.528 17.014 2971.115
31 1.2 DL + 1.0 LL CHECKERED 3 + 1.0 SL +Z 100.578 -154.338 16.824 2964.71
32 1.2 DL + 1.0 LL CHECKERED 4 + 1.0 SL +Z 78.847 -152.628 16.546 2950.932
33 1.2 DL + 1.0 LL + 1.0 SL -Z 3905.46 222.178 86.074 716.203
34 1.2 DL + 1.0 LL CHECKERED 1 + 1.0 SL -Z 3701.044 221.921 81.001 530.135
35 1.2 DL + 1.0 LL CHECKERED 2 + 1.0 SL -Z 3730.96 221.83 81.659 556.724
36 1.2 DL + 1.0 LL CHECKERED 3 + 1.0 SL -Z 3726.868 221.02 81.469 550.319
37 1.2 DL + 1.0 LL CHECKERED 4 + 1.0 SL -Z 3705.136 222.73 81.191 536.54
38 0.9 DL + 1.0 SL +X 3075.222 -42.44 219.487 2513.605
39 0.9 DL + 1.0 SL -X -468.956 93.579 -152.122 -109.743
40 0.9 DL + 1.0 SL +Z -510.012 -162.11 1.36 2409.127
41 0.9 DL + 1.0 SL -Z 3116.278 213.249 66.005 -5.264
42 1.2 DL + 1.2 FL + 0.8 LL 2022.508 34.423 52.006 1858.655
43 1.2 DL + 1.2 FL + 0.8 LL CHECKERED 1 1858.975 34.217 47.947 1709.801
44 1.2 DL + 1.2 FL + 0.8 LL CHECKERED 2 1882.908 34.144 48.474 1731.072
45 1.2 DL + 1.2 FL + 0.8 LL CHECKERED 3 1879.634 33.497 48.322 1725.948
46 1.2 DL + 1.2 FL + 0.8 LL CHECKERED 4 1862.249 34.864 48.099 1714.925
FOOTING 2
MX MZ AREA OF FOOTING MAX. AREA
256.305 315.368 5.22
260.507 328.61 5.71 9.32
237.463 293.952 4.99
239.29 300.136 5.09
238.747 295.436 5.06
238.006 298.652 5.01
401.091 630.531 1.17
386.689 608.87 0.72
387.831 612.735 0.78
387.492 609.798 0.77
387.029 611.808 0.73
89.309 -17.032 9.32 CRITICAL NODE
74.907 -38.693 8.87
76.049 -34.829 8.93
75.709 -37.766 8.92
75.247 -35.756 8.88
-40.652 365.65 6
-55.054 343.989 5.55
-53.912 347.854 5.61
-54.252 344.917 5.6
-54.715 346.927 5.56
531.053 247.849 4.49
516.651 226.188 4.04
517.792 230.052 4.1
517.453 227.115 4.09
516.99 229.125 4.05
320.659 526.519 -0.73
8.877 -121.045 7.43
-121.085 261.638 4.11
450.62 143.836 2.6
240.177 299.465 5.09
228.655 282.136 4.73
229.569 285.228 4.78
229.297 282.878 4.77
228.927 284.486 4.74
FOOTING 2
MX MZ MAX. AREA
23.445 38.712 5.04
18.597 42.336 5.72 9.18
19.713 37.402 4.91
18.851 37.359 5.03
18.247 37.489 5.01
20.316 37.271 4.93
-82.644 117.849 9.18
-81.947 114.766 8.68
-82.486 114.738 8.75
-82.863 114.82 8.74
-81.57 114.684 8.69
120.963 -40.043 1.21
121.66 -43.127 0.7
121.121 -43.154 0.78
120.744 -43.072 0.76
122.037 -43.209 0.72
-181.983 109.602 4.41
-181.286 106.518 3.91
-181.825 106.491 3.98
-182.202 106.573 3.97
-180.908 106.436 3.92
220.302 -31.796 5.98
220.999 -34.879 5.47
220.46 -34.906 5.55
220.083 -34.825 5.53
221.376 -34.961 5.49
-86.731 103.832 7.23
116.875 -54.06 -0.75
-186.07 95.585 2.46
216.214 -45.812 4.03
19.351 37.753 5.02
19.909 35.286 4.62
19.478 35.264 4.68
19.176 35.33 4.66
20.21 35.221 4.63
Horizontal Vertical Horizontal Moment
Node L/C Fx kN Fy kN Fz kN Mx kNm My kNm Mz kNm B BxB Node L/C
43 53 GENERATED AISC GENERAL 1 2.872 318.341 2.088 2.231 -0.09 -4.959 1.148 1.32 43 13 1.4D
54 GENERATED AISC GENERAL 2 5.949 561.228 4.475 4.654 -0.107 -9.266 1.511 2.28 14 1.2DL+1.6LL
55 GENERATED AISC GENERAL 3 5.18 500.506 3.878 4.048 -0.103 -8.189 1.43 2.04 15 1.2DL+1.6 CHECKERED 1
56 GENERATED AISC GENERAL 4 -4.842 300.477 -0.912 -7.471 -1.09 20.993 1.27 1.61 16 1.2DL+1.6 CHECKERED2
57 GENERATED AISC GENERAL 5 13.475 336.285 3.033 5.188 0.207 -40.554 1.403 1.97 17 1.2DL+1.6 CHECKERED 3
58 GENERATED AISC GENERAL 6 2.943 288.987 -12.351 -45.342 -0.151 -5.52 1.375 1.89 18 1.2DL+1.6 CHECKERED 4
59 GENERATED AISC GENERAL 7 5.58 347.771 14.551 43.317 -0.705 -13.673 1.467 2.15 19 1.2DL+1.6 CHECKERED 5
60 GENERATED AISC GENERAL 8 10.587 336.206 5.087 11.933 0.91 -30.911 1.39 1.93 20 1.2DL+1.6 CHECKERED 6
61 GENERATED AISC GENERAL 9 -7.731 300.397 1.142 -0.726 -0.387 30.636 1.286 1.65 21 1.2DL+LL+SL+X
62 GENERATED AISC GENERAL 10 2.801 347.695 16.527 49.804 -0.029 -4.398 1.455 2.12 22 1.2DL+CHECKERED 1+SL+X
63 GENERATED AISC GENERAL 11 0.165 288.911 -10.376 -38.855 0.525 3.755 1.334 1.78 23 1.2DL+CHECKERED 2+SL+X
64 GENERATED AISC GENERAL 12 -0.606 487.108 1.629 -3.228 -0.853 11.275 1.425 2.03 24 1.2DL+ CHECKERED 3+SL+X
65 GENERATED AISC GENERAL 13 13.132 513.964 4.587 6.266 0.12 -34.886 1.576 2.48 25 1.2DL+CHECKERED 4+SL+X
66 GENERATED AISC GENERAL 14 5.233 478.491 -6.951 -31.632 -0.149 -8.61 1.535 2.36 26 1.2DL+CHECKERED 5+SL+X
67 GENERATED AISC GENERAL 15 7.21 522.579 13.226 34.863 -0.564 -14.725 1.618 2.62 27 1.2DL+CHECKERED 6+SL+X
68 GENERATED AISC GENERAL 16 10.965 513.905 6.128 11.325 0.647 -27.653 1.567 2.46 28 1.2DL+LL+SL-X
69 GENERATED AISC GENERAL 17 -2.773 487.049 3.169 1.831 -0.326 18.507 1.454 2.11 29 1.2DL+CHECKERED 1+SL-X
70 GENERATED AISC GENERAL 18 5.126 522.522 14.707 39.728 -0.057 -7.769 1.61 2.59 30 1.2DL+CHECKERED 2+SL-X
71 GENERATED AISC GENERAL 19 3.149 478.434 -5.47 -26.766 0.358 -1.654 1.483 2.20 31 1.2DL+CHECKERED 3+SL-X
72 GENERATED AISC GENERAL 20 1.723 191.005 1.253 1.339 -0.054 -2.975 0.902 0.81 32 1.2DL+CHECKERED 4+SL-X
73 GENERATED AISC GENERAL 21 -5.991 173.14 -1.747 -8.363 -1.054 22.977 1.123 1.26 33 1.2DL+CHECKERED 5+SL-X
74 GENERATED AISC GENERAL 22 12.326 208.949 2.198 4.295 0.243 -38.571 1.241 1.54 34 1.2DL+CHECKERED 6+SL-X
75 GENERATED AISC GENERAL 23 1.794 161.651 -13.186 -46.235 -0.115 -3.536 1.225 1.50 35 1.2DL+LL+SL+Z
76 GENERATED AISC GENERAL 24 4.431 220.435 13.716 42.425 -0.669 -11.689 1.315 1.73 36 1.2DL+CHECKERED 1+SL+Z
77 GENERATED AISC GENERAL 25 9.438 208.869 4.252 11.04 0.946 -28.927 1.224 1.50 37 1.2DL+CHECKERED 2+SL+Z
78 GENERATED AISC GENERAL 26 -8.88 173.061 0.307 -1.618 -0.351 32.62 1.143 1.31 38 1.2DL+CHECKERED 3+SL+Z
79 GENERATED AISC GENERAL 27 1.652 220.358 15.692 48.912 0.007 -2.415 1.301 1.69 39 1.2DL+CHECKERED 4+SL+Z
80 GENERATED AISC GENERAL 28 -0.984 161.575 -11.211 -39.748 0.561 5.738 1.2 1.44 40 1.2DL+CHECKERED 5+SL+Z
41 1.2DL+CHECKERED 6+SL+Z
MAX. AREA = 2.62 42 1.2DL+LL+SL-Z
43 1.2DL+CHECKERED 1+SL-Z
44 1.2DL+CHECKERED 2+SL-Z
45 1.2DL+CHECKERED 3+SL-Z
46 1.2DL+CHECKERED 4+SL-Z
47 1.2DL+CHECKERED 5+SL-Z
48 1.2DL+CHECKERED 6+SL-Z
49 0.9DL+SL+X
50 0.9DL+SL-X
51 0.9DL+SL+Z
52 0.9DL+SL-Z
Horizontal Vertical Horizontal Moment Fy Mx Mz
Fx kN Fy kN Fz kN Mx kNm My kNm Mz kNm MAX 483.611 62.937 32.611
4.021 445.678 2.923 3.123 -0.126 -6.943 MIN 143.99 -66.28 -58.566
4.627 477.304 3.53 3.888 -0.116 -7.533
3.133 431.109 2.039 1.682 -0.11 -5.373
5.094 430.846 3.882 4.515 -0.112 -8.435
2.823 430.771 2.035 1.629 -0.111 -4.828
5.275 430.943 3.918 4.637 -0.111 -8.775
4.86 431.096 4.215 5.182 -0.108 -8.054
3.237 430.617 1.738 1.085 -0.114 -5.549
-6.836 416.047 -1.139 -10.426 -1.541 30.135
-7.77 387.176 -2.071 -11.804 -1.538 31.485
-6.544 387.011 -0.919 -10.034 -1.539 29.571
-7.964 386.965 -2.074 -11.837 -1.538 31.826
-6.431 387.072 -0.897 -9.957 -1.538 29.358
-6.69 387.168 -0.711 -9.617 -1.537 29.809
-8.279 323.2 -2.677 -12.624 -1.522 32.367
19.331 467.202 4.496 7.658 0.312 -57.79
18.398 438.331 3.565 6.279 0.316 -56.44
19.624 438.166 4.716 8.05 0.314 -58.353
18.204 438.12 3.562 6.246 0.315 -56.099
19.736 438.227 4.739 8.126 0.315 -58.566
19.477 438.323 4.924 8.467 0.317 -58.116
18.463 438.024 3.376 5.906 0.313 -56.55
4.286 399.634 -17.481 -64.528 -0.2 -7.741
3.352 370.763 -18.413 -65.907 -0.196 -6.391
4.578 370.598 -17.262 -64.136 -0.198 -8.304
3.158 370.552 -18.416 -65.94 -0.197 -6.05
4.691 370.659 -17.239 -64.06 -0.197 -8.517
4.432 370.755 -17.053 -63.719 -0.195 -8.067
3.417 370.456 -18.602 -66.28 -0.199 -6.501
8.052 483.611 20.951 62.128 -0.991 -19.388
7.118 454.739 20.019 60.75 -0.987 -18.038
8.344 454.575 21.171 62.52 -0.989 -19.951
4.363 143.99 18.28 58.947 -0.886 -12.933
8.457 454.635 21.193 62.597 -0.988 -20.164
8.198 454.732 21.379 62.937 -0.986 -19.714
7.183 454.432 19.831 60.376 -0.99 -18.148
-8.435 260.986 -2.406 -11.852 -1.509 32.611
17.732 312.141 3.229 6.232 0.344 -55.313
2.686 244.573 -18.748 -65.954 -0.168 -5.264
6.453 328.55 19.684 60.702 -0.959 -16.911
ANALYSIS & DESIGN OF COMBINED RECTANGULAR FOOTING
NODE 152 & 201
LOADCASE 23. 1.2DL + 1.0LL + 1.0SL-X
GIVEN:
PU1 = 2883.3 kN
PU2 = 4326.2 kN
MU1 = 4.669 kN.m
MU2 = 89.309 kN.m
a = 1.2 m
S = 4 m
C1 = 0.5 m
C2 = 0.5 m
f'c = 21 MPa
fy = 275 MPa N25
ϒsoil = 19 kN.mᶟ
ϒc = 23.54 kN.mᶟ
Df = 2 m
qu = 773.73 kPa
FOR STABILITY:
solving for a Aftg: SHEAR POINTS VALUE
Aftg = PT / qeff A = qU (a) = 1197.2 kN
Aftg = 9.82 B = A - PUI = -1686 kN
qeff = qu -ϒsoil (Df-t) - ϒc (t) C = B + qU (S) = 2304.4 kN
= 734.37 kPa D = C - PU2 = -2022 kN MuL1
solving for x: (∑M@P
∑PU(x) = PU1 (0) + PU2 (S) + MU1 + M
x = 2.413 m MuL2
solving for B & L: MOMENT POINTS VALUES
L/2 = a + x E = (1/2) (A) (a)
L = 7.227 m = 718.29 kN.m
B = Aftg / L = 1.36 m F = E + MU1 MuR1
solving for b: = 722.96 kN.m
b = L-S-a = 2.03 m G = F + (1/2)(B)(X ; x= 1.6901
solving for qu: = -701.94 kN.m
qu = ∑PU / L = 997.63 kPa H = G + (1/2)(C)(S-X) MuR2
= 1959.5 kN.m
I = H + MU2
= 2048.8 kN.m
SHEAR AND MOMENT DIAGRAM
Vc = ø(0.11)(2)(λ) (√21) (bd)
Vc = (0.75) (0.11)(1)(√21)(2)(4) Mu1
( 0.5 + d) (d) Mu1
= 1512.2 d + 3024.5 d^2
using Quadratic Formula:
3758.9 d^2 + 2246.6 d
- 2699.7 = 0
d = 0.6 m
@ right column:
Vu = øVc
Vu = PU2 -qU (c1 + d) (c2 + d)
= 4326.2 - 734.37 pmin
( 0.5 + d)^2
= -734.37 d^2 -
734.37 d + 4142.6
Vc = ø(0.11)(2)(λ) (√21) (bd)
Vc = (0.75) (0.11)(1)(√21)(2)(4) N25
( 0.5 + d) (d)
= 1512.2 d + 3024.5 d^2
using Quadratic Formula:
DESIGN FOR SHEAR: 3758.9 d^2 + 2246.6 d
- 4142.6 = 0
solving for one-way: d = 0.80 m
Vu = øVc
Vu = VUMAX -qU (d + c/2)
Vu = 2304.4 - 997.63 (d + 0.25 )
Vu = 2055 - 997.63 d
Vc = ø (0.11) (λ) (√21) (bd)
Vc = (0.75)(0.11)(1)(√21358.5 ) (d)
= 513.59 d
d = 1.36 m USE THIS!
solving for two-way: solving for thickness:
qu = ∑PU / Aftg t = d + 0.095
qu = 734.37 kPa t = 1.46 m
@ left column:
Vu = øVc
Vu = PU1 -qU (c1 + d) (c2 + d)
Vu = 2883.3 - 734.37 ( 0.5 + d)^2
= -734.37 d^2 - 734.37 d + 2699.7
REINFORCEMENT:
PARALLEL TO LENGTH (L)
top bars @ middle: bottom tension bars @ left sid
Mu = 701.94 kN.m Mu = 1574.5 kN.m
Rn = Mu / ø bd² = 0.3104 since : Mu > 701.94
M = fy / 0.85 f'c 15.406
p = (1/M) (1-√1-(2MRn)/fy)) Mu = 1574.5 kN.m
= 0.00113873 Rn = Mu / ø bd² = 0.6962
pmin = 1.4 / fy 0.0051 M = fy / 0.85 f'c 15.406
therefore: p < pmin p = (1/M) (1-√1-(2MRn)/fy))
= ###
Asmin = pmin bd 9405.6 mm² pmin = 1.4 / fy 0.0051
Ast = 0.0018 bt 3570.1 mm² therefore: p < pmin
USE: Asmin = 9405.6 mm²
N25 = 4As / π ø² = 20 Asmin = pmin bd 9405.6 mm²
S25 = (B - 2(cc))/N25 - 63.604 Ast = 0.0018 bt 3570.1 mm²
≈ 60 mm USE: Asmin 9405.6 mm²
therefore: N25 = 4As / π ø² = 20
USE 20 - 25 mm ø SPACED @ 60 mm O.C S25 = (B - 2(cc))/N25 - 63.604
Development length: ≈ 60 mm
Ld / db = (9 fy α β ϒ λ)/(10√f'c (c+ ktr/ db)) USE 20 - 25 mm ø SPACED @ 60 mm O.C.
= 23.404
Ld = 585.1 mm
solving for MuL1 : by SPP
( 1.2 )² 718.294
=
( 0.95 )² 0
MuL1 = 450.18 kN.m
solving for MuL2 : by SPP
( 1.69 )² ### + 722.96
=
( 1.44 )² 701.94 + MuL2
MuL2 = 332.6 kN.m
solving for MuR1 : by SPP
( 2.31 )² ### + 1959.5
=
( 2.06 )² 701.94 + MuR1
MuR1 = 1413.6 kN.m
solving for MuR2 : by SPP
( 2.027 )² 2048.770
=
( 1.78 )² MuR2
MuR2 = 1574.5 kN.m
bottom tension bars @ left side:
Mu = 450.18 kN.m
since : Mu < 701.94
USE 20 - 25 mm ø SPACED @ 60 mm O.C
PARALLEL TO WIDTH (B) for right side:
Mu2 = qu2 (W2)(y)(y/2) ;0.43
y=
for left side: Mu2 = 293.38 KN.m
Mu1 = qu1 (W1)(y)(y/2) ;0.43
y= qu2 = Pu2 / BW2
Mu1 = 195.53 KN.m qu2 = 1253.8 kPa
qu1 = Pu1 / BW1 W2 = C2 + 2(0.75 d)
qu1 = 835.61 kPa W2 = 2.5 m
W1 = C1 + 2(0.75 d)
W1 = 2.5 m Rn = Mu / ø bd² = 0.1042
p = (1/M) (1-√1-(2MRn)/fy))
Rn = Mu / ø bd² = 0.0694 = ###
p = (1/M) (1-√1-(2MRn)/fy)) pmin = 1.4 / fy 0.0051 mm²
= ### therefore: p < pmin
pmin = 1.4 / fy 0.0051
therefore: p < pmin Asmin = pmin bd 14353 mm²
Ast = 0.0018 bt 6675.1 mm²
Asmin = pmin bd 14353 mm² USE: Asmin 14353 mm²
Ast = 0.0018 bt 6675.1 mm² N25 = 4As / π ø² = 30
USE: Asmin = 14353 mm² S25 = (B - 2(cc))/N25 - 87.534
N25 = 4As / π ø² = 30 ≈ 80 mm
S25 = (B - 2(cc))/N25 - 87.534 therefore:
≈ 80 mm USE 30 - 25 mm ø SPACED @ 80 mm O
therefore:
USE 30 - 25 mm ø SPACED @ 80 mm O.C temp. bars @ middle:
Ast = 0.0018 bt 3836.9 mm²
b = W3 = 4 - c - 2(0.75d)
W3 = 1.46 m
N25 = 4As / π ø² = 8
S25 = (B - 2(cc))/N25 - 208.36
≈ 200 mm
therefore:
USE 8 - 25 mm ø SPACED @ 200 mm O
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