Isolated Footing Mathcad Calculation
June 6, 2016 | Author: dumbadumba | Category: N/A
Short Description
Footing calculation...
Description
Unit System Force_Unit = kN
Isolated Footing Verification
Length_Unit = m
Moment_Unit = kN × m
Design Parameter Input ρconc = 24
kN 3
m ρsoil = 18
kN 3
m
Soil_Ht = 1.05m CC = 75mm X_bar_dia = 20mm Z_bar_dia = 16mm Bar_Pos = "X Bott" μ = 0.5
Load Table - Service Loads
P
VX
VZ
MX
MZ
1101
611.19
-133.168
15.418
81.32
326.664
1102
601.347
-135.616
-10.947
-81.702
334.488
1103
605.863
-132.615
2.246
-0.191
317.457
1104
606.675
-136.168
2.225
-0.191
343.696
1105
611.193
-133.169
15.418
81.32
326.666
1106
601.346
-135.615
-10.947
-81.702
334.487
1107
605.866
-132.617
2.246
-0.191
317.459
1108
606.674
-136.168
2.225
-0.192
343.695
1109
1005.692 -251.361
31.253
209.055
558.636
1110
1043.174 -273.492
27.473
182.425
673.375
1111
978.677
-256.77
-23.586
-188.572
572.869
1112
1016.08
-278.85
-27.298
-215.215
687.58
1113
1005.692 -251.361
31.253
209.055
558.636
1114
1043.174 -273.492
27.473
182.425
673.375
1115
978.677
-256.77
-23.586
-188.572
572.869
1116
1016.08
-278.85
-27.298
-215.215
687.58
1117
1005.694 -251.362
31.253
209.055
558.637
1118
1043.174 -273.492
27.473
182.425
673.375
1119
978.677
-23.586
-188.572
572.869
1120
1016.077 -278.849
-27.298
-215.215
687.579
-256.77
SWF
LC 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
1120
1016.077 -278.849
-27.298
-215.215
687.579
1121
1005.694 -251.362
31.253
209.055
558.637
Isolated Footing Verification
1122
1043.174 -273.492
27.473
182.425
673.375
1123
978.677
-23.586
-188.572
572.869
1124
1016.077 -278.849
-27.298
-215.215
687.579
1125
1005.694 -251.362
31.253
209.055
558.637
1126
1043.174 -273.492
27.473
182.425
673.375
1127
978.677
-23.586
-188.572
572.869
1128
1016.077 -278.849
-27.298
-215.215
687.579
1129
1005.694 -251.362
31.253
209.055
558.637
1130
1043.174 -273.492
27.473
182.425
673.375
1131
978.677
-23.586
-188.572
572.869
1132
1016.077 -278.849
-27.298
-215.215
687.579
1133
1016.248
43.769
279.895
573.285
1134
1041.257 -268.434
41.418
263.425
649.549
-261.833
-37.526
-269.561
596.695
1136
1005.522 -276.488
-39.822
-286.049
672.918
1137
1008.238 -252.896
24.029
156.981
559.608
1138
1033.231
-267.59
21.689
140.507
635.864
1139
988.6
-262.674
-17.786
-146.675
610.377
1140
1013.548 -277.339
-20.093
-163.158
686.607
1141
1018.717 -253.113
50.352
320.846
571.288
1142
1043.732 -267.821
47.997
304.377
647.554
1143
978.117
-262.446
-44.11
-310.51
598.689
1144
1003.044 -277.098
-46.401
-326.999
674.909
1145
1008.038 -252.001
24.031
156.961
553.052
1146
1033.031 -266.696
21.692
140.486
629.309
1147
988.797
-263.567
-17.789
-146.663
616.932
1148
1013.745 -278.232
-20.096
-163.146
693.161
1151
813.972
-185.464
13.35
62.941
450.073
1152
806.58
-187.285
-6.366
-59.259
455.935
1153
809.964
-185.042
3.495
1.805
443.195
1154
810.587
-187.706
3.489
1.876
462.813
1170
1004.37
-246.735
42.25
288.436
537.143
1171
1054.356 -276.365
37.054
251.837
689.643
1172
967.518
-253.898
-33.198
-257.994
556.601
1173
1017.365 -283.436
-38.264
-294.604
709.067
1135
980.59
-256.77
-256.77
-256.77 -253.73
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
More Load cases are present , but not displayed due to limitation of Excel element in MathCad. For Calculation, load cases upto 1193 are included
Unit Conversion from Excel Table P = P × Force_Unit VX = VX × Force_Unit VZ = VZ × Force_Unit MX = MX × Moment_Unit
MZ = MZ × Moment_Unit
Footing Geometry
Isolated Footing Verification
L = 4.4m B = 4.4m D = 0.5m
Pedestal / Column ColW = 0.7m ColL = 0.7m ColH = 1.35m
Offsets Ozd = 0m Oxd = 0m
Effective Depth ( D − CC − 0.5 × X_bar_dia) if Bar_Pos = "X Bott"
deff =
( D − CC − 0.5 × Z_bar_dia) otherwise
Self Weights Soil_Wt = ( L × B × Soil_Ht − ColL × ColW × Soil_Ht ) × ρsoil Ped_Wt = ColW × ColL × ColH × ρconc Foot_Wt = L × B × D × ρconc
Soil weight factor applied here Self_Wt = SWF × ( Foot_Wt + Ped_Wt + Soil_Wt )
Resolved Forces with Load Factors MX = [ VZ × ( ColH + D) + MX + Ozd × ( P + Ped_Wt) ] MZ = [ −VX × ( ColH + D) + MZ + Oxd × ( P + Ped_Wt) ]
Load Factor Application P =
for i ∈ 0 .. rows( P) − 1
VZ =
for i ∈ 0 .. rows( VZ) − 1
P ← P × LC i
i
i
i
V ← VX × LC
i
i
V for i ∈ 0 .. rows( MX) − 1 M ← MX × LC i
M
i
for i ∈ 0 .. rows( VX ) − 1
V ← VZ × LC
i
P MX =
VX =
i
MZ =
i
i
V
for i ∈ 0 .. rows( MZ) − 1 M ← MZ × LC i
M
i
i
Self_Wt =
for i ∈ 0 .. rows( P) − 1 Self_Wt ← Self_Wt × LC
i
Self_Wt
Forces For Soil Bearing Check
Isolated Footing Verification
MX and MZ already consist effect of Shear forces VX and VZ
P+Self Wt MX 1101 1102 1103 1104 1105 1106 1107 1108 1109 1110 1111 1112 1113 1114 1115 1116 1117 1118 1119 1120 1121 1122 1123 1124 1125 1126 1127 1128 1129 1130 1131 1132 1133 1134 1135 1136 1137 1138 1139 1140 1141 1142 1143
611.19 601.347 605.863 606.675 611.193 601.346 605.866 606.674 1005.692 1043.174 978.677 1016.08 1005.692 1043.174 978.677 1016.08 1005.694 1043.174 978.677 1016.077 1005.694 1043.174 978.677 1016.077 1005.694 1043.174 978.677 1016.077 1005.694 1043.174 978.677 1016.077 1016.248 1041.257 980.59 1005.522 1008.238 1033.231 988.6 1013.548 1018.717 1043.732 978.117
109.8433 -101.954 3.9641 3.92525 109.8433 -101.954 3.9641 3.92425 266.8731 233.2501 -232.206 -265.716 266.8731 233.2501 -232.206 -265.716 266.8731 233.2501 -232.206 -265.716 266.8731 233.2501 -232.206 -265.716 266.8731 233.2501 -232.206 -265.716 266.8731 233.2501 -232.206 -265.716 360.8677 340.0483 -338.984 -359.72 201.4347 180.6317 -179.579 -200.33 413.9972 393.1715 -392.114
MZ 573.0248 585.3776 562.7948 595.6068 573.0287 585.3748 562.8005 595.6058 1023.654 1179.335 1047.894 1203.453 1023.654 1179.335 1047.894 1203.453 1023.657 1179.335 1047.894 1203.45 1023.657 1179.335 1047.894 1203.45 1023.657 1179.335 1047.894 1203.45 1023.657 1179.335 1047.894 1203.45 1042.686 1146.152 1081.086 1184.421 1027.466 1130.906 1096.324 1199.684 1039.547 1143.023 1084.214
1143 1144 1145 1146 1147 1148 1151 1152 1153 1154 1170 1171 1172 1173
978.117 -392.114 1084.214 1003.044 -412.841 1187.54 Isolated Footing Verification 1008.038 201.4184 1019.254 1033.031 180.6162 1122.697 988.797 -179.573 1104.531 1013.745 -200.324 1207.89 813.972 87.6385 793.1814 806.58 -71.0361 802.4123 809.964 8.27075 785.5227 810.587 8.33065 810.0691 1004.37 366.5985 993.6028 1054.356 320.3869 1200.918 967.518 -319.41 1026.312 1017.365 -365.392 1233.424
Soil Bearing Calculation without out-ofcontact
Isolated Footing Verification
Soil Bearing Pressures without out-of contact adjustment Soil_Bearing_Values = SoilBearing( P + Self_Wt , L , B , MX , MZ)
Q1 1101 1102 1103 1104 1105 1106 1107 1108 1109 1110 1111 1112 1113 1114 1115 1116 1117 1118 1119 1120 1121 1122 1123 1124 1125 1126 1127 1128 1129 1130 1131 1132 1133 1134 1135 1136 1137 1138 1139
95.43596 110.7157 101.8979 104.2537 95.43638 110.7155 101.8985 104.2537 136.493 151.7629 171.958 187.2072 136.493 151.7629 171.958 187.2072 136.4933 151.7629 171.958 187.2068 136.4933 151.7629 171.958 187.2068 136.4933 151.7629 171.958 187.2068 136.4933 151.7629 171.958 187.2068 131.7582 141.8041 181.9157 191.9425 141.5022 151.5443 172.1749
Q2 14.71308 28.25268 22.61617 20.34971 14.71296 28.25283 22.61592 20.34979 -7.71066 -14.3719 24.33962 17.67499 -7.71066 -14.3719 24.33962 17.67499 -7.71076 -14.3719 24.33962 17.67504 -7.71076 -14.3719 24.33962 17.67504 -7.71076 -14.3719 24.33962 17.67504 -7.71076 -14.3719 24.33962 17.67504 -15.1265 -19.656 29.62148 25.09135 -3.23843 -7.76807 17.73411
Q3 30.18687 13.89027 23.1746 20.90266 30.18676 13.89042 23.17435 20.90261 29.88415 18.48641 -8.37161 -19.7569 29.88415 18.48641 -8.37161 -19.7569 29.88405 18.48641 -8.37161 -19.7568 29.88405 18.48641 -8.37161 -19.7568 29.88405 18.48641 -8.37161 -19.7568 29.88405 18.48641 -8.37161 -19.7568 35.70947 28.2471 -18.1317 -25.5829 25.13797 17.67779 -7.56347
Q4 110.9098 96.35331 102.4564 104.8067 110.9102 96.35306 102.4569 104.8065 174.0878 184.6212 139.2467 149.7753 174.0878 184.6212 139.2467 149.7753 174.0881 184.6212 139.2467 149.775 174.0881 184.6212 139.2467 149.775 174.0881 184.6212 139.2467 149.775 174.0881 184.6212 139.2467 149.775 182.5942 189.7073 134.1625 141.2683 169.8786 176.9902 146.8774
1140 1141 1142 1143 1144 1145 1146 1147 1148 1151 1152 1153 1154 1170 1171 1172 1173
182.2054 13.2041 -15.0167 127.9224 -18.5201 39.80028 Isolated Footing Verification 137.9698 -23.0496 32.33711 185.7505 33.01562 -22.222 195.7759 28.48526 -29.6723 140.9146 -2.66921 25.7049 150.9569 -7.19911 18.24457 172.7627 17.16577 -8.13091 182.7932 12.63582 -15.5841 122.9811 11.24447 23.59024 134.4259 21.38884 11.38187 127.825 17.16722 18.33233 129.5819 15.46624 16.63979 127.2838 -12.6865 38.95678 147.7231 -21.4521 23.68132 176.0038 31.42561 -13.5702 196.4054 22.65109 -28.8223
153.9846 186.2429 193.3565 130.5129 137.6184 169.2887 176.4006 147.4661 154.5733 135.3269 124.4189 128.9901 130.7555 178.9271 192.8565 131.008 144.932
Soil Bearing Out-of-contact calculations
Isolated Footing Verification
Soil Bearing Comparison
SFA Calculation Sheet
196.4054 185.7505 127.9224 137.9698 1173 1143 1141 1142
22.65109 -28.8223 144.932 33.01562 -22.222 130.5129 -18.5201 39.80028 186.2429 -23.0496 32.33711 193.3565
194.0726 22.3128 -28.8917 142.8681 183.4711 32.583 -22.3446 128.5434 126.0076 -18.6536 39.313 183.9742 135.995 -23.1396 31.9098 191.0444 1.20% 1.24% 1.52% 1.45%
1.52% 1.33% -0.72% -0.39%
-0.24% -0.55% 1.24% 1.34%
1.44% 1.53% 1.23% 1.21%
Adjusted Bearing Pressure Isolated Footing Verification
198.6454 21.70184 0 144.7116 186.8191 32.65368 0 130.3581 127.8237 0 39.61875 186.8467 137.8129 0 31.94716 194.4822 1173 1143 1141 1142
196.2735 184.5267 126.1171 136.217
21.2837 32.1558 0 0
0 142.5899 0 128.347 39.329 184.7776 31.8918 192.4987
1.21% 1.96% #DIV/0! 1.24% 1.55% #DIV/0! 1.35% #DIV/0! 0.74% 1.17% #DIV/0! 0.17%
1.49% 1.57% 1.12% 1.03%
Isolated Footing Verification
Sliding Check Resisting_Sliding = μ × ( P + Self_Wt ) Resultant_Shear =
2
( VX ) + ( VZ)
2
0
Resisting_Sliding VX
0
0
0
-4.56577
0
39.435
0
4.535
1
-4.44706
1
-55.092
1
4.433
2
-4.56472
2
269.524
2
4.564
3
-4.4486
3
272.25
3
4.448
4
-4.56575
4
39.435
4
4.535
5
-4.44709
5
-55.092
5
4.433
6 = 7
-4.56467
6 = 7
269.525
6 = 7
4.564
8
-3.20362
8
25.766
8
3.179
9
-3.01291
9
29.993
9
2.998
10
-3.08353
10
-33.569
10
3.071
11
-2.90644
11
-29.689
11
2.893
12
-3.20362
12
25.766
12
3.179
13
-3.01291
13
29.993
13
2.998
14
-3.08353
14
-33.569
14
3.071
15
...
15
...
15
...
-4.4486
Resisting_Sliding VZ
272.25
Resisting_Sliding Resultant_Shear
4.448
Isolated Footing Verification
SFA Calculation Sheet
Isolated Footing Verification
Overturning Check
Isolated Footing Verification
Resiting Force Along X Ovt_Res_X = ( P + Self_Wt ) ×
L 2
Resiting Force Along Z B Ovt_Res_Z = ( P + Self_Wt 0 )× 2 0 24.355
0
4.66867
1
-26.028
1
4.53316
2
671.917
2
4.73271
3
679.022
3
4.47498
4
24.355
4
4.66865
5
-26.028
5
4.53318
6 = 7
671.918
6 = 7
4.73267
8
13.277
8
3.4613
9
15.544
9
3.0743
10
-15.003
10
3.32451
11
-13.42
11
2.96316
12
13.277
12
3.4613
13
15.544
13
3.0743
14
-15.003
14
3.32451
15
...
15
...
Ovt_Res_X MX
679.194
0
Ovt_Res_Z MZ
4.47499
Isolated Footing Verification
SFA Calculation Sheet
Isolated Footing Verification
Isolated Footing Verification
Load Table - Ultimate Loads P
VX
2101
619.39
-131.125
37.389
217.174
320.143
2102
593.143
-137.653
-32.919
-217.552
341.006
2103
605.186
-129.653
2.263
-0.19
295.593
2104
607.352
-139.127
2.209
-0.192
365.562
2105
619.393
-131.127
37.389
217.174
320.145
2106
593.142
-137.653
-32.919
-217.552
341.006
2107
605.189
-129.654
2.263
-0.19
295.595
2108
607.351
-139.127
2.209
-0.192
365.561
2109
1206.89
-301.588
37.479
251.584
670.629
2110
1251.883 -328.078
32.933
219.538
808.425
2111
1174.41
-308.104
-28.304
-226.835
687.934
2112
1219.286 -334.519
-32.752
-258.903
825.689
2113
1206.89
-301.588
37.479
251.584
670.629
2114
1251.883 -328.078
32.933
219.538
808.425
2115
1174.41
-308.104
-28.304
-226.835
687.934
2116
1219.286 -334.519
-32.752
-258.903
825.689
2117
1408.11
-351.798
43.696
294.36
782.71
2118
1460.617 -382.624
38.381
256.865
943.596
2119
1370.139 -359.429
-33.022
-265.289
803.165
2120
1422.484 -390.151
-38.203
-302.817
963.994
2121
1408.11
-351.798
43.696
294.36
782.71
2122
1460.617 -382.624
38.381
256.865
943.596
2123
1370.139 -359.429
-33.022
-265.289
803.165
2124
1422.484 -390.151
-38.203
-302.817
963.994
2125
1408.11
-351.798
43.696
294.36
782.71
2126
1460.617 -382.624
38.381
256.865
943.596
2127
1370.139 -359.429
-33.022
-265.289
803.165
2128
1422.484 -390.151
-38.203
-302.817
963.994
2129
1408.11
-351.798
43.696
294.36
782.71
2130
1460.617 -382.624
38.381
256.865
943.596
2131
1370.139 -359.429
-33.022
-265.289
803.165
2132
1422.484 -390.151
-38.203
-302.817
963.994
2133
1227.162 -302.514
72.673
462.65
682.006
2134
1257.206 -320.131
69.828
442.843
773.607
2135
1169.093
-65.209
-450.11
722.754
2136
1198.983 -333.576
-67.943
-469.957
814.272
2137
1209.338 -300.666
28.816
188.818
651.714
2138
1239.339 -318.255
26.004
168.998
743.295
2139
1186.919 -317.927
-21.353
-176.357
753.062
2140
1216.853
-24.119
-196.19
844.6
2141
1218.908 -304.576
50.737
325.818
688.719
2142
1248.93
-322.177
47.909
306.005
780.308
2143
1177.353
-314.01
-43.272
-313.288
716.05
-316.06
-335.47
VZ
MX
MZ
SWF 1.2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
LF 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
2144
1207.266 -331.542
-46.022
2145
1209.996 -303.652
28.809 673.572 Isolated188.904 Footing Verification
2146
1239.996
25.997
2147
1186.265 -314.943
-321.24
-333.128 169.083
807.58 765.151
-21.344
-176.411
731.203
2148
1216.2
-332.488
-24.11
-196.244
822.743
2151
984.678
-220.567
37.019
206.14
534.029
2152
959.993
-226.639
-28.656
-201.724
553.651
2153
971.3
-219.163
4.187
2.062
511.151
2154
973.375
-228.045
4.176
2.351
576.534
2611
1206.624 -299.726
42.61
288.654
662.02
2612
1256.618 -329.276
37.412
251.947
814.637
2613
1169.684 -306.905
-32.8
-259.254
681.717
2614
1219.536 -336.363
-37.866
-295.975
834.301
1 1 1 1 1 1 1 1 1 1 1 1 1 1
1 1 1 1 1 1 1 1 1 1 1 1 1 1
More Load cases are present , but not displayed due to limitation of Excel element in MathCad. For Calculation, load cases upto 2634 are included
Isolated Footing Verification
Unit Conversion from Excel Table P = P × Force_Unit VX = VX × Force_UnitVZ = VZ × Force_Unit MX = MX × Moment_Unit MZ = MZ × Moment_Unit
Self Weights Soil_Wt = ( L × B × Soil_Ht − ColL × ColL × Soil_Ht ) × ρsoil Ped_Wt = ColW × ColL × ColH × ρconc Foot_Wt = L × B × D × ρconc
Soil weight factor applied here Self_Wt = LC × ( Foot_Wt + Ped_Wt + Soil_Wt )
Resolved Forces with Load Factors MX = [ VZ × ( ColH + D) + MX + Ozd × ( P + Ped_Wt) ] MZ = [ −VX × ( ColH + D) + MZ + Oxd × ( P + Ped_Wt) ] Load Factor Application P =
for i ∈ 0 .. rows( P) − 1
VZ =
for i ∈ 0 .. rows( VZ) − 1
P ← P × LC i
i
i
i
V ← VX × LC
i
i
V for i ∈ 0 .. rows( MX) − 1 M ← MX × LC i
M
i
for i ∈ 0 .. rows( VX ) − 1
V ← VZ × LC
i
P MX =
VX =
i
MZ =
i
i
V for i ∈ 0 .. rows( MZ) − 1 M ← MZ × LC i
M
i
i
Self_Wt =
for i ∈ 0 .. rows( P) − 1 Self_Wt ← Self_Wt × LC
i
Self_Wt
Forces For Ultimate Check Isolated Footing Verification
MX and MZ already consist effect of Shear forces VX and VZ
P+Self Wt MX 2101 2102 2103 2104 2105 2106 2107 2108 2109 2110 2111 2112 2113 2114 2115 2116 2117 2118 2119 2120 2121 2122 2123 2124 2125 2126 2127 2128 2129 2130 2131 2132 2133 2134 2135 2136 2137 2138 2139 2140 2141 2142 2143 2144 2145
1224.229 1197.982 1210.025 1212.191 1224.232 1197.981 1210.028 1212.19 1811.729 1856.722 1779.249 1824.125 1811.729 1856.722 1779.249 1824.125 2012.949 2065.456 1974.978 2027.323 2012.949 2065.456 1974.978 2027.323 2012.949 2065.456 1974.978 2027.323 2012.949 2065.456 1974.978 2027.323 1832.001 1862.045 1773.932 1803.822 1814.177 1844.178 1791.758 1821.692 1823.747 1853.769 1782.192 1812.105 1814.835
286.3437 -278.452 3.99655 3.89465 286.3437 -278.452 3.99655 3.89465 320.9202 280.4641 -279.197 -319.494 320.9202 280.4641 -279.197 -319.494 375.1976 327.8699 -326.38 -373.493 375.1976 327.8699 -326.38 -373.493 375.1976 327.8699 -326.38 -373.493 375.1976 327.8699 -326.38 -373.493 597.0951 572.0248 -570.747 -595.652 242.1276 217.1054 -215.86 -240.81 419.6815 394.6367 -393.341 -418.269 242.2007
MZ 562.7243 595.6641 535.4511 622.947 562.73 595.6641 535.4549 622.946 1228.567 1415.369 1257.926 1444.549 1228.567 1415.369 1257.926 1444.549 1433.536 1651.45 1468.109 1685.773 1433.536 1651.45 1468.109 1685.773 1433.536 1651.45 1468.109 1685.773 1433.536 1651.45 1468.109 1685.773 1241.657 1365.849 1307.465 1431.388 1207.946 1332.067 1341.227 1465.22 1252.185 1376.335 1296.969 1420.933 1235.328
2145 2146 2147 2148 2151 2152 2153 2154 2611 2612 2613 2614 2615
1814.835 242.2007 1235.328 1844.835 217.1775 1359.445 Isolated Footing Verification 1791.104 -215.897 1313.848 1821.039 -240.848 1437.846 1589.517 274.6252 942.078 1564.832 -254.738 972.9332 1576.139 9.80795 916.6026 1578.214 10.0766 998.4173 1811.463 367.4825 1216.513 1861.457 321.1592 1423.798 1774.523 -319.934 1249.491 1824.375 -366.027 1456.573 1811.463 367.4825 1216.513
Ultimate Soil Bearing Pressures Isolated Footing Verification Soil_Bearing_Values = SoilBearing( P + Self_Wt , L , B , MX , MZ)
Q1
Q2
Q3
Q4 0
2101 2102 2103 2104 2105 2106 2107 2108 2109 2110 2111 2112 2113 2114 2115 2116 2117 2118 2119 2120 2121 2122 2123 2124 2125 2126 2127 2128 2129 2130 2131 2132 2133 2134 2135 2136 2137 2138 2139 2140 2141 2142 2143
82.70205 123.4483 99.93469 106.2166 82.7026 123.4482 99.93512 106.2165 157.4581 175.7574 200.6662 220.8717 157.4581 175.7574 200.6662 220.8717 178.4046 199.8393 229.6194 254.1286 178.4046 199.8393 229.6194 254.1286 178.4046 199.8393 229.6194 254.1286 178.4046 199.8393 229.6194 254.1286 139.6207 151.576 227.9549 242.6505 161.7231 173.7547 202.8935 216.219 152.6958 164.7028 212.7119
3.430224 39.53617 24.50489 18.46111 3.429977 39.53612 24.50477 18.46112 0 0 22.78996 13.79432 0 0 22.78996 13.79432 0 0 21.09555 9.829266 0 0 21.09555 9.829266 0 0 21.09555 9.829266 0 0 21.09555 9.829266 0 0 38.1937 31.39624 0 0 12.99255 6.752784 0 0 27.79383
43.76789 0.310194 25.06789 19.00975 43.76764 0.310143 25.06777 19.00977 29.52784 15.37979 0 0 29.52784 15.37979 0 0 29.07775 12.10136 0 0 29.07775 12.10136 0 0 29.07775 12.10136 0 0 29.07775 12.10136 0 0 48.39908 38.85319 0 0 25.65611 16.58925 0 0 35.21785 25.85677 0
123.0397 84.2223 100.4977 106.7652 123.0403 84.22225 100.4981 106.7651 203.1017 216.6557 160.7821 173.3486 203.1017 216.6557 160.7821 173.3486 232.3372 248.7084 182.3232 197.0877 232.3372 248.7084 182.3232 197.0877 232.3372 248.7084 182.3232 197.0877 232.3372 248.7084 182.3232 197.0877 226.621 236.3811 142.9433 151.2141 195.9258 204.731 171.7703 180.3429 212.9813 222.3502 155.5158
Dx =
0
0
0
0
0
1
0
1
0
2
0
2
0
3
0
3
0
4
0
4
0
5
0
5
0
6
0
6
0
7
0
7
0
8
0.409
8
1.554
9
0.558
9
2.745
10
0.423
10
1.886
11
0.717
11
3.123
12
0.409
12
1.554
13
0.558
13
2.745
14
0.423
14
1.886
15
0.717
15
3.123
16
0.538
16
2.028
17
0.684
17
3.31
18
0.553
18
2.437
19
0.85
19
3.642
20
0.538
20
2.028
21
0.684
21
3.31
22
0.553
22
2.437
23
0.85
23
3.642
24
0.538
24
2.028
25
0.684
25
3.31
26
0.553
26
2.437
27
0.85
27
3.642
28
0.538
28
2.028
29
0.684
29
3.31
30
0.553
30
2.437
31
0.85
31
3.642
32
0.953
32
1.952
33
1.024
33
2.384
34
1.086
34
2.423
35
1.251
35
2.889
36
0.221
36
1.099
37
0.336
37
2.044
38
0.42
38
2.563
39
0.612
39
3.572
40
0.62
40
1.83
m
Dy =
m
2143 2144 2145 2146 2147 2148 2151 2152 2153 2154 2611 2612 2613 2614 2615
212.7119 226.4962 163.6726 175.7057 200.7467 213.8926 129.1143 167.3293 145.2829 151.1338 153.2928 173.6908 202.8784 225.747 153.2928
27.79383 21.45721 0 0 14.9872 8.917025 0 30.23414 16.15971 10.48528 0 0 25.9457 15.8875 0
0 0 23.74501 14.62532 0 0 35.08893 0 17.54137 11.90479 33.59703 17.72803 0 0 33.59703
40 155.5158 163.9396 41 Isolated Footing Verification 197.9577 42 206.8533 43 169.8088 44 178.3427 45 167.8099 46 131.4096 47 146.6646 48 152.5534 49 205.6633 50 220.7512 51 157.0497 52 170.8649 53 205.6633 54
0.62
40
1.83
0.712
41
2.426
0.7
42
2.262
0.882
43
2.891
0.266
44
1.353
0.378
45
2.334
0.378
46
2.269
0.572
47
3.296
0.12
48
0.41
0.182
49
0.696
0
50
0
0
51
0
0.48
52
1.577
0.636
53
2.742
...
54
...
Ultimate Load Soil bearing
For Load Case 2120 Gross Pressure
Isolated Footing Verification
Gov_SB = 19
Load_Case
Gov_SB
= 2120
SoilBearingForShearMoment = SoilBearingForShearMomentfunc( Gov_SB )
254.128635408925
174.453727452751 151.4118 55116993
112 .546 046 357 88489.504174022126
9.82926606595174
SoilBearingForShearMoment
3
235.525522308596
6.62358497398
230.145527927665
5.69650647004
221.070838610431
4.13275959591
215.6908442295
3.20568109196
197.0877311 291 71
132.810255181362 114 .221 298 722 588
82.8664324065832 64.2774759478091
0
Isolated Footing Verification Ultimate Load Soil bearing
For Load Case 207 Net Pressure SoilBearingForShearMoment = SoilBearingForShearMomentfunc( Gov_SB ) 254.128635408925
174.453727452751 151.4118 55116993
112 .546 046 357 88489.504174022126
9.829266065
SoilBearingForShearMoment
3
235.525522308596
6.62358497398
230.145527927665
5.69650647004
221.070838610431
4.13275959591
215.6908442295
3.20568109196
197.0877311 291 71
132.810255181362 114 .221 298 722 588
82.8664324065832 64.2774759478091
0
Isolated Footing Verification
Soil Bearing Functions
(
SoilBearing P , L , B , M x , M z
)
Currently Soil Bearing function is only supported for full contact condition, soon out of contact condition will be developed too for full contact soil bearing is calulated based on P/A +- M/S
SoilBearingForShearMomentfunc( Gov_SB) This function provides soil bearing at shear and moment locations for load case Gov_SB, diagram below explains how output array is populated
Isolated Footing Verification
Ultimate Forces Functions
For Stress block calculations double integration is used. Small strip of width dy is considered. Soil bearing acrossed the strip is assumed to be same (Qy). Plane area is calculated by setting integraiton limits from 0 to B In second iteration Q12 and Q34 is varied based on location, integration limits are 0 to L Volume generated by the stress block is shear Each strip area (dx) multiplied by corresponding distance fives Moment
Isolated Footing Verification
Shear( Q1 , Q2 , Q3 , Q4 , Fixed_Dim , Floating_Dim) Moment( Q1 , Q2 , Q3 , Q4 , Fixed_Dim , Floating_Dim) Where Q1 and Q4 are inner soil bearings, Fixed_Dim is footing edge dimension, whereas Floating_Dim is desired shear location Following diagrams explains different assignments of Q1, Q2,Q3,Q4
Isolated Footing Verification
SF_X_Gross( location , LCN)
SF_X_SW( location , LCN)
SF_X_Net ( location , LCN)
SF_Z_Gross( location , LCN)
SF_Z_SW( location , LCN)
SF_Z_Net( location , LCN)
BM_X_Gross( location , LCN)
BM_X_SW( location , LCN)
BM_X_Net( location , LCN)
BM_Z_Gross ( location , LCN)
BM_Z_SW( location , LCN)
BM_Z_Net( location , LCN)
These functions provide shear force (SF functions) or bending moment (BM functions) at any location along footing for any load case (LCN) Net Force function is resultant of deducting Self Weight Force (SW) from Gross Froce
Graph Functions SF_X_Gross_Graph( LCN)
SF_X_SW_Graph( LCN)
SF_X_Net_Graph( LCN)
SF_Z_Gross_Graph( LCN)
SF_Z_SW_Graph( LCN)
SF_Z_Net_Graph( LCN)
BM_X_Gross_Graph( LCN)
BM_X_SW_Graph( LCN)
BM_X_Net_Graph( LCN)
BM_Z_Gross_Graph( LCN)
BM_Z_SW_Graph( LCN)
BM_Z_Net_Graph( LCN)
Above functions provides graph points at 100 divisions along length or width of footing for any load case (LCN), variable "location" provides division distaces. Graph functions are usually used at Y axis and location is placed at X Axis (refer to graph below)
Shear_X_Gross_Graph( GLC)
location
For any quieries about these functions, please contact Kaustubh Page
Isolated Footing Verification
Please note that first load case 0starts from 10th row 0 33.364 370.647
0
1
0
230.624
567.907
1
14.932
371.959
1
212.192
569.219
2
36.905
357.842
2
234.165
555.102
3
11.39
384.769
3
208.65
582.029
4
33.363
370.65
4
230.623
567.91
5
14.932
371.959
5
212.192
569.219
6 OneWayShear_Z_Net = 7
36.905
357.844
234.165
555.104
11.39
384.769
6 OneWayShear_Z_Gross = 7
208.65
582.029
8
49.789
762.315
8
247.049
959.575
9
20.349
834.377
9
217.609
1.032·103
10
31.587
760.691
10
228.847
957.951
11
10.275
834.17
11
207.535
1.031·103
12
49.789
762.315
12
247.049
959.575
13
20.349
834.377
13
217.609
1.032·103
14
31.587
760.691
14
228.847
957.951
15
10.275
...
15
207.535
...
× kN
× kN
Isolated Footing Verification
Please note that first load case starts from 0th row 0
1
0
1
0
287.819
116.192
0
485.079
313.452
1
109.997
276.894
1
307.257
474.154
2
198.571
196.175
2
395.831
393.435
3
199.247
196.912
3
396.507
394.172
4
287.82
116.193
4
485.08
313.453
5
109.996
276.894
5
307.256
474.154
6 OneWayShear_X_Net = 7
198.572
196.176
395.832
393.436
199.246
196.912
6 OneWayShear_X_Gross = 7
396.506
394.172
8
490.195
321.909
8
687.455
519.169
9
493.467
361.259
9
690.727
558.519
10
325.085
467.193
10
522.345
664.453
11
349.123
495.321
11
546.383
692.581
12
490.195
321.909
12
687.455
519.169
13
493.467
361.259
13
690.727
558.519
14
325.085
467.193
14
522.345
664.453
15
349.123
...
15
546.383
...
× kN
× kN
Isolated Footing Verification
Punching Shear For Punching shear program uses undujested values Please note that first load case starts from 0th row 0
0
0
579.615
0
1.146·103
1
555.054
1
1.121·103
2
566.323
2
1.132·103
3
568.35
3
1.134·103
4
579.618
4
1.146·103
5
555.053
5
1.121·103
6
566.326
6
1.132·103
Punching_Shear_Net = 7
568.349
Punching_Shear_Gross = 7
1.134·103
8
1.129·103
8
1.695·103
9
1.171·103
9
1.737·103
10
1.099·103
10
1.665·103
11
1.141·103
11
1.707·103
12
1.129·103
12
1.695·103
13
1.171·103
13
1.737·103
14
1.099·103
14
1.665·103
15
...
15
...
× kN
Moment Calculation
Please note that first load case starts from 0th row
0
1
0
26.108
455.679
1
3.327
458.044
2
30.994
439.745
3
-1.56
473.983
4
26.107
455.682
5
3.327
458.043
6 Moment_Z_Net = 7
30.993
439.747
-1.56
473.983
8
0.454
938.314
9
-53.347
1.027·103
10
-23.384
936.888
11
-77.162
1.026·103
12
0.454
938.314
13
-53.347
1.027·103
14
-23.384
936.888
15
-77.162
...
× kN × m
× kN
Isolated Footing Verification
Isolated Footing Verification
0 Please note that first load case starts 1from 0th row 350.188 131.599 0 1
124.403
336.967
2
236.895
233.844
3
237.698
234.725
4
350.189
131.601
5
124.403
336.967
6 Moment_X_Net = 7
236.896
233.845
237.698
234.725
8
592.526
385.807
9
595.73
438.705
10
391.112
564.118
11
427.336
599.204
12
592.526
385.807
13
595.73
438.705
14
391.112
564.118
15
427.336
...
× kN × m
Maximum Shear and Bending max( OneWayShear_Z_Net) = 975.925 × kN max( OneWayShear_X_Net) = 585.068 × kN 3
max( Moment_Z_Net) = 1.198 × 10 × kN × m max( Moment_X_Net) = 713.042 × kN × m
One Way Shear Z One Way Shear X
Punching Shear
Mz
Mx
Mathcad Calculations Max
975.925329
585.0681329
1366.821774 1198.403392 713.0417
STAAD Foundation
987.286
590.084
1364.381
1187.29
729.721
% Difference
1.2%
0.9%
0.2%
0.9%
2.3%
View more...
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