Week 11 Challenge
Aim : To calculate the temperature load for the given RC bridge with M40 grade to be constructed in Delhi and to create staad model and analyse the structure.
Introduction : The given bridge is a RC bridge with M40 grade to be constructed in Delhi. The Span of the bridge is 9 m.The Box girder dimension is 1500 x 1500 with a web thickness of 300mm. The diameter of the circular pier is 2.5m The width of Deck slab is 7m and width of piercap is 6m. The Thickness of Deck slab is 550mm.
Procedure :
Step 1 : To calculate temperature load as per IRC 6
Coefficient of thermal expansion = 12x10^-6/degree C
Maximum temperature in Delhi = 48.4 degree C
Minimum temperature in Delhi = -2.2 degree C
Effective temperature difference = [48.4-(-2.2)]/2+10= 35.3 degree C
Temperature stress = 12x10^-6x35.3x5000x(40)^-1/2 = 13.39 kN/m2
Step 2 : To create Staad model and analyse for temperature load
Open Staad Pro, create 1st node at 0,0,0 (X,Y,Z as Longitudinal,Vertical and Transverse) and 2nd node at 0,10,0 for pier top. Add beam between node 1 and 2 and pier is created. Assign fix support to the bottom node. Create circle concrete propert of 2.5m dia and assign it to the pier. Now copy paste the beam in X=9m as span is 9m.
Create pier cap of length 6m and depth=1.1m and width 1.1m
Create Longitudinal box girders with following property:
Create plate mesh of 0.5m sqaure for deck width of 7m and span 9m using translation repeat
Now, assign temperature load
Results:
Deflection diagram
Bending Moment
Maximum BM in girders
Max BM in Pier
Shear force Diagram
Max Shear force in girder
Max Shear in Pier
Maximum absolute stress in plate
Report:
1. STAAD SPACE
INPUT FILE: C:\Users\Muthulakshmi\Downloads\Old Laptop data of 1st week\Challenge Staad\Challenge 11 t.. .STD
2. START JOB INFORMATION
3. ENGINEER DATE 21-JUL-22
4. END JOB INFORMATION
5. INPUT WIDTH 79
6. UNIT METER KN
7. JOINT COORDINATES
8. 1 0 0 0; 2 0 10 0; 3 9.00002 0 0; 4 9.00002 10 0; 5 0 10 -3.00001
9. 6 0 10 3.00001; 7 9.00002 10 -3.00001; 8 9.00002 10 3.00001; 9 0 10 2
10. 10 9.00002 10 2; 11 0 10 -2; 12 9.00002 10 -2; 13 0 10 3.50001
11. 14 0.500001 10 3.00001; 15 0.500001 10 3.50001; 16 1 10 3.00001
12. 17 1 10 3.50001; 18 1.5 10 3.00001; 19 1.5 10 3.50001; 20 2 10 3.00001
13. 21 2 10 3.50001; 22 2.50001 10 3.00001; 23 2.50001 10 3.50001
14. 24 3.00001 10 3.00001; 25 3.00001 10 3.50001; 26 3.50001 10 3.00001
15. 27 3.50001 10 3.50001; 28 4.00001 10 3.00001; 29 4.00001 10 3.50001
16. 30 4.50001 10 3.00001; 31 4.50001 10 3.50001; 32 5.00001 10 3.00001
17. 33 5.00001 10 3.50001; 34 5.50001 10 3.00001; 35 5.50001 10 3.50001
18. 36 6.00001 10 3.00001; 37 6.00001 10 3.50001; 38 6.50001 10 3.00001
19. 39 6.50001 10 3.50001; 40 7.00001 10 3.00001; 41 7.00001 10 3.50001
20. 42 7.50002 10 3.00001; 43 7.50002 10 3.50001; 44 8.00002 10 3.00001
21. 45 8.00002 10 3.50001; 46 8.50002 10 3.00001; 47 8.50002 10 3.50001
22. 48 9.00002 10 3.50001; 49 0 10 2.50001; 50 9.00002 10 2.50001
23. 51 0.500001 10 2.50001; 52 1 10 2.50001; 53 1.5 10 2.50001; 54 2 10 2.50001
24. 55 2.50001 10 2.50001; 56 3.00001 10 2.50001; 57 3.50001 10 2.50001
25. 58 4.00001 10 2.50001; 59 4.50001 10 2.50001; 60 5.00001 10 2.50001
26. 61 5.50001 10 2.50001; 62 6.00001 10 2.50001; 63 6.50001 10 2.50001
27. 64 7.00001 10 2.50001; 65 7.50002 10 2.50001; 66 8.00002 10 2.50001
28. 67 8.50002 10 2.50001; 68 0.500001 10 2; 69 1 10 2; 70 1.5 10 2; 71 2 10 2
29. 72 2.50001 10 2; 73 3.00001 10 2; 74 3.50001 10 2; 75 4.00001 10 2
30. 76 4.50001 10 2; 77 5.00001 10 2; 78 5.50001 10 2; 79 6.00001 10 2
31. 80 6.50001 10 2; 81 7.00001 10 2; 82 7.50002 10 2; 83 8.00002 10 2
32. 84 8.50002 10 2; 85 0 10 1.5; 86 9.00002 10 1.5; 87 0.500001 10 1.5
33. 88 1 10 1.5; 89 1.5 10 1.5; 90 2 10 1.5; 91 2.50001 10 1.5; 92 3.00001 10 1.5
34. 93 3.50001 10 1.5; 94 4.00001 10 1.5; 95 4.50001 10 1.5; 96 5.00001 10 1.5
35. 97 5.50001 10 1.5; 98 6.00001 10 1.5; 99 6.50001 10 1.5; 100 7.00001 10 1.5
36. 101 7.50002 10 1.5; 102 8.00002 10 1.5; 103 8.50002 10 1.5; 104 0 10 1
37. 105 9.00002 10 1; 106 0.500001 10 1; 107 1 10 1; 108 1.5 10 1; 109 2 10 1
38. 110 2.50001 10 1; 111 3.00001 10 1; 112 3.50001 10 1; 113 4.00001 10 1
STAAD SPACE -- PAGE NO. 2
39. 114 4.50001 10 1; 115 5.00001 10 1; 116 5.50001 10 1; 117 6.00001 10 1
40. 118 6.50001 10 1; 119 7.00001 10 1; 120 7.50002 10 1; 121 8.00002 10 1
41. 122 8.50002 10 1; 123 0 10 0.500001; 124 9.00002 10 0.500001
42. 125 0.500001 10 0.500001; 126 1 10 0.500001; 127 1.5 10 0.500001
43. 128 2 10 0.500001; 129 2.50001 10 0.500001; 130 3.00001 10 0.500001
44. 131 3.50001 10 0.500001; 132 4.00001 10 0.500001; 133 4.50001 10 0.500001
45. 134 5.00001 10 0.500001; 135 5.50001 10 0.500001; 136 6.00001 10 0.500001
46. 137 6.50001 10 0.500001; 138 7.00001 10 0.500001; 139 7.50002 10 0.500001
47. 140 8.00002 10 0.500001; 141 8.50002 10 0.500001; 142 0.500001 10 0
48. 143 1 10 0; 144 1.5 10 0; 145 2 10 0; 146 2.50001 10 0; 147 3.00001 10 0
49. 148 3.50001 10 0; 149 4.00001 10 0; 150 4.50001 10 0; 151 5.00001 10 0
50. 152 5.50001 10 0; 153 6.00001 10 0; 154 6.50001 10 0; 155 7.00001 10 0
51. 156 7.50002 10 0; 157 8.00002 10 0; 158 8.50002 10 0; 159 0 10 -0.500001
52. 160 9.00002 10 -0.500001; 161 0.500001 10 -0.500001; 162 1 10 -0.500001
53. 163 1.5 10 -0.500001; 164 2 10 -0.500001; 165 2.50001 10 -0.500001
54. 166 3.00001 10 -0.500001; 167 3.50001 10 -0.500001; 168 4.00001 10 -0.500001
55. 169 4.50001 10 -0.500001; 170 5.00001 10 -0.500001; 171 5.50001 10 -0.500001
56. 172 6.00001 10 -0.500001; 173 6.50001 10 -0.500001; 174 7.00001 10 -0.500001
57. 175 7.50002 10 -0.500001; 176 8.00002 10 -0.500001; 177 8.50002 10 -0.500001
58. 178 0 10 -1; 179 9.00002 10 -1; 180 0.500001 10 -1; 181 1 10 -1; 182 1.5 10 -1.
59. 183 2 10 -1; 184 2.50001 10 -1; 185 3.00001 10 -1; 186 3.50001 10 -1.
60. 187 4.00001 10 -1; 188 4.50001 10 -1; 189 5.00001 10 -1; 190 5.50001 10 -1.
61. 191 6.00001 10 -1; 192 6.50001 10 -1; 193 7.00001 10 -1; 194 7.50002 10 -1.
62. 195 8.00002 10 -1; 196 8.50002 10 -1; 197 0 10 -1.5; 198 9.00002 10 -1.5
63. 199 0.500001 10 -1.5; 200 1 10 -1.5; 201 1.5 10 -1.5; 202 2 10 -1.5
64. 203 2.50001 10 -1.5; 204 3.00001 10 -1.5; 205 3.50001 10 -1.5
65. 206 4.00001 10 -1.5; 207 4.50001 10 -1.5; 208 5.00001 10 -1.5
66. 209 5.50001 10 -1.5; 210 6.00001 10 -1.5; 211 6.50001 10 -1.5
67. 212 7.00001 10 -1.5; 213 7.50002 10 -1.5; 214 8.00002 10 -1.5
68. 215 8.50002 10 -1.5; 216 0.500001 10 -2; 217 1 10 -2; 218 1.5 10 -2
69. 219 2 10 -2; 220 2.50001 10 -2; 221 3.00001 10 -2; 222 3.50001 10 -2
70. 223 4.00001 10 -2; 224 4.50001 10 -2; 225 5.00001 10 -2; 226 5.50001 10 -2
71. 227 6.00001 10 -2; 228 6.50001 10 -2; 229 7.00001 10 -2; 230 7.50002 10 -2
72. 231 8.00002 10 -2; 232 8.50002 10 -2; 233 0 10 -2.50001
73. 234 9.00002 10 -2.50001; 235 0.500001 10 -2.50001; 236 1 10 -2.50001
74. 237 1.5 10 -2.50001; 238 2 10 -2.50001; 239 2.50001 10 -2.50001
75. 240 3.00001 10 -2.50001; 241 3.50001 10 -2.50001; 242 4.00001 10 -2.50001
76. 243 4.50001 10 -2.50001; 244 5.00001 10 -2.50001; 245 5.50001 10 -2.50001
77. 246 6.00001 10 -2.50001; 247 6.50001 10 -2.50001; 248 7.00001 10 -2.50001
78. 249 7.50002 10 -2.50001; 250 8.00002 10 -2.50001; 251 8.50002 10 -2.50001
79. 252 0.500001 10 -3.00001; 253 1 10 -3.00001; 254 1.5 10 -3.00001
80. 255 2 10 -3.00001; 256 2.50001 10 -3.00001; 257 3.00001 10 -3.00001
81. 258 3.50001 10 -3.00001; 259 4.00001 10 -3.00001; 260 4.50001 10 -3.00001
82. 261 5.00001 10 -3.00001; 262 5.50001 10 -3.00001; 263 6.00001 10 -3.00001
83. 264 6.50001 10 -3.00001; 265 7.00001 10 -3.00001; 266 7.50002 10 -3.00001
84. 267 8.00002 10 -3.00001; 268 8.50002 10 -3.00001; 269 0 10 -3.50001
85. 270 9.00002 10 -3.50001; 271 0.500001 10 -3.50001; 272 1 10 -3.50001
86. 273 1.5 10 -3.50001; 274 2 10 -3.50001; 275 2.50001 10 -3.50001
87. 276 3.00001 10 -3.50001; 277 3.50001 10 -3.50001; 278 4.00001 10 -3.50001
88. 279 4.50001 10 -3.50001; 280 5.00001 10 -3.50001; 281 5.50001 10 -3.50001
89. 282 6.00001 10 -3.50001; 283 6.50001 10 -3.50001; 284 7.00001 10 -3.50001
90. 285 7.50002 10 -3.50001; 286 8.00002 10 -3.50001; 287 8.50002 10 -3.50001
91. MEMBER INCIDENCES
92. 1 1 2; 2 3 4; 3 5 233; 4 2 123; 5 7 234; 6 4 124; 7 2 142; 8 9 49; 9 10 50
93. 10 9 68; 11 11 197; 12 12 198; 13 11 216; 32 49 6; 33 50 8; 52 68 69; 53 69 70
94. 54 70 71; 55 71 72; 56 72 73; 57 73 74; 58 74 75; 59 75 76; 60 76 77; 61 77 78
STAAD SPACE -- PAGE NO. 3
95. 62 78 79; 63 79 80; 64 80 81; 65 81 82; 66 82 83; 67 83 84; 68 84 10; 87 85 9
96. 88 86 10; 107 104 85; 108 105 86; 127 123 104; 128 124 105; 147 142 143
97. 148 143 144; 149 144 145; 150 145 146; 151 146 147; 152 147 148; 153 148 149
98. 154 149 150; 155 150 151; 156 151 152; 157 152 153; 158 153 154; 159 154 155
99. 160 155 156; 161 156 157; 162 157 158; 163 158 4; 182 159 2; 183 160 4
100. 202 178 159; 203 179 160; 222 197 178; 223 198 179; 242 216 217; 243 217 218
101. 244 218 219; 245 219 220; 246 220 221; 247 221 222; 248 222 223; 249 223 224
102. 250 224 225; 251 225 226; 252 226 227; 253 227 228; 254 228 229; 255 229 230
103. 256 230 231; 257 231 232; 258 232 12; 277 233 11; 278 234 12
104. ELEMENT INCIDENCES SHELL
105. 14 6 13 15 14; 15 14 15 17 16; 16 16 17 19 18; 17 18 19 21 20; 18 20 21 23 22
106. 19 22 23 25 24; 20 24 25 27 26; 21 26 27 29 28; 22 28 29 31 30; 23 30 31 33 32
107. 24 32 33 35 34; 25 34 35 37 36; 26 36 37 39 38; 27 38 39 41 40; 28 40 41 43 42
108. 29 42 43 45 44; 30 44 45 47 46; 31 46 47 48 8; 34 49 6 14 51; 35 51 14 16 52
109. 36 52 16 18 53; 37 53 18 20 54; 38 54 20 22 55; 39 55 22 24 56; 40 56 24 26 57
110. 41 57 26 28 58; 42 58 28 30 59; 43 59 30 32 60; 44 60 32 34 61; 45 61 34 36 62
111. 46 62 36 38 63; 47 63 38 40 64; 48 64 40 42 65; 49 65 42 44 66; 50 66 44 46 67
112. 51 67 46 8 50; 69 9 49 51 68; 70 68 51 52 69; 71 69 52 53 70; 72 70 53 54 71
113. 73 71 54 55 72; 74 72 55 56 73; 75 73 56 57 74; 76 74 57 58 75; 77 75 58 59 76
114. 78 76 59 60 77; 79 77 60 61 78; 80 78 61 62 79; 81 79 62 63 80; 82 80 63 64 81
115. 83 81 64 65 82; 84 82 65 66 83; 85 83 66 67 84; 86 84 67 50 10; 89 85 9 68 87
116. 90 87 68 69 88; 91 88 69 70 89; 92 89 70 71 90; 93 90 71 72 91; 94 91 72 73 92
117. 95 92 73 74 93; 96 93 74 75 94; 97 94 75 76 95; 98 95 76 77 96; 99 96 77 78 97
118. 100 97 78 79 98; 101 98 79 80 99; 102 99 80 81 100; 103 100 81 82 101
119. 104 101 82 83 102; 105 102 83 84 103; 106 103 84 10 86; 109 104 85 87 106
120. 110 106 87 88 107; 111 107 88 89 108; 112 108 89 90 109; 113 109 90 91 110
121. 114 110 91 92 111; 115 111 92 93 112; 116 112 93 94 113; 117 113 94 95 114
122. 118 114 95 96 115; 119 115 96 97 116; 120 116 97 98 117; 121 117 98 99 118
123. 122 118 99 100 119; 123 119 100 101 120; 124 120 101 102 121
124. 125 121 102 103 122; 126 122 103 86 105; 129 123 104 106 125
125. 130 125 106 107 126; 131 126 107 108 127; 132 127 108 109 128
126. 133 128 109 110 129; 134 129 110 111 130; 135 130 111 112 131
127. 136 131 112 113 132; 137 132 113 114 133; 138 133 114 115 134
128. 139 134 115 116 135; 140 135 116 117 136; 141 136 117 118 137
129. 142 137 118 119 138; 143 138 119 120 139; 144 139 120 121 140
130. 145 140 121 122 141; 146 141 122 105 124; 164 2 123 125 142
131. 165 142 125 126 143; 166 143 126 127 144; 167 144 127 128 145
132. 168 145 128 129 146; 169 146 129 130 147; 170 147 130 131 148
133. 171 148 131 132 149; 172 149 132 133 150; 173 150 133 134 151
134. 174 151 134 135 152; 175 152 135 136 153; 176 153 136 137 154
135. 177 154 137 138 155; 178 155 138 139 156; 179 156 139 140 157
136. 180 157 140 141 158; 181 158 141 124 4; 184 159 2 142 161; 185 161 142 143 162
137. 186 162 143 144 163; 187 163 144 145 164; 188 164 145 146 165
138. 189 165 146 147 166; 190 166 147 148 167; 191 167 148 149 168
139. 192 168 149 150 169; 193 169 150 151 170; 194 170 151 152 171
140. 195 171 152 153 172; 196 172 153 154 173; 197 173 154 155 174
141. 198 174 155 156 175; 199 175 156 157 176; 200 176 157 158 177
142. 201 177 158 4 160; 204 178 159 161 180; 205 180 161 162 181
143. 206 181 162 163 182; 207 182 163 164 183; 208 183 164 165 184
144. 209 184 165 166 185; 210 185 166 167 186; 211 186 167 168 187
145. 212 187 168 169 188; 213 188 169 170 189; 214 189 170 171 190
146. 215 190 171 172 191; 216 191 172 173 192; 217 192 173 174 193
147. 218 193 174 175 194; 219 194 175 176 195; 220 195 176 177 196
148. 221 196 177 160 179; 224 197 178 180 199; 225 199 180 181 200
149. 226 200 181 182 201; 227 201 182 183 202; 228 202 183 184 203
150. 229 203 184 185 204; 230 204 185 186 205; 231 205 186 187 206
STAAD SPACE -- PAGE NO. 4
151. 232 206 187 188 207; 233 207 188 189 208; 234 208 189 190 209
152. 235 209 190 191 210; 236 210 191 192 211; 237 211 192 193 212
153. 238 212 193 194 213; 239 213 194 195 214; 240 214 195 196 215
154. 241 215 196 179 198; 259 11 197 199 216; 260 216 199 200 217
155. 261 217 200 201 218; 262 218 201 202 219; 263 219 202 203 220
156. 264 220 203 204 221; 265 221 204 205 222; 266 222 205 206 223
157. 267 223 206 207 224; 268 224 207 208 225; 269 225 208 209 226
158. 270 226 209 210 227; 271 227 210 211 228; 272 228 211 212 229
159. 273 229 212 213 230; 274 230 213 214 231; 275 231 214 215 232
160. 276 232 215 198 12; 279 233 11 216 235; 280 235 216 217 236
161. 281 236 217 218 237; 282 237 218 219 238; 283 238 219 220 239
162. 284 239 220 221 240; 285 240 221 222 241; 286 241 222 223 242
163. 287 242 223 224 243; 288 243 224 225 244; 289 244 225 226 245
164. 290 245 226 227 246; 291 246 227 228 247; 292 247 228 229 248
165. 293 248 229 230 249; 294 249 230 231 250; 295 250 231 232 251
166. 296 251 232 12 234; 297 5 233 235 252; 298 252 235 236 253
167. 299 253 236 237 254; 300 254 237 238 255; 301 255 238 239 256
168. 302 256 239 240 257; 303 257 240 241 258; 304 258 241 242 259
169. 305 259 242 243 260; 306 260 243 244 261; 307 261 244 245 262
170. 308 262 245 246 263; 309 263 246 247 264; 310 264 247 248 265
171. 311 265 248 249 266; 312 266 249 250 267; 313 267 250 251 268
172. 314 268 251 234 7; 315 269 5 252 271; 316 271 252 253 272; 317 272 253 254 273
173. 318 273 254 255 274; 319 274 255 256 275; 320 275 256 257 276
174. 321 276 257 258 277; 322 277 258 259 278; 323 278 259 260 279
175. 324 279 260 261 280; 325 280 261 262 281; 326 281 262 263 282
176. 327 282 263 264 283; 328 283 264 265 284; 329 284 265 266 285
177. 330 285 266 267 286; 331 286 267 268 287; 332 287 268 7 270
178. ELEMENT PROPERTY
179. 14 TO 31 34 TO 51 69 TO 86 89 TO 106 109 TO 126 129 TO 146 164 TO 181 184 -
180. 185 TO 201 204 TO 221 224 TO 241 259 TO 276 279 TO 332 THICKNESS 0.55
181. DEFINE MATERIAL START
182. ISOTROPIC CONCRETE
183. E 2.17184E+07
184. POISSON 0.17
185. DENSITY 23.5615
186. ALPHA 5.5E-06
187. DAMP 0.05
188. G 9.28137E+06
189. TYPE CONCRETE
190. STRENGTH FCU 27578.9
191. END DEFINE MATERIAL
192. MEMBER PROPERTY
193. 1 2 PRIS YD 2.5
194. 3 TO 6 8 9 11 12 32 33 87 88 107 108 127 128 182 183 202 203 222 223 277 -
195. 278 PRIS YD 1.1 ZD 1.1
196. 7 10 13 52 TO 68 147 TO 163 242 TO 258 PRIS SQUARE STA 1.5 END 1.5 THI 0.3
197. CONSTANTS
198. MATERIAL CONCRETE ALL
199. SUPPORTS
200. 1 3 FIXED
201. LOAD 1 LOADTYPE NONE TITLE TEMPERATURE LOAD
202. TEMPERATURE LOAD
203. 1 TO 332 TEMP 35.3
204. PERFORM ANALYSIS
STAAD SPACE -- PAGE NO. 5
P R O B L E M S T A T I S T I C S
-----------------------------------
NUMBER OF JOINTS 287 NUMBER OF MEMBERS 80
NUMBER OF PLATES 252 NUMBER OF SOLIDS 0
NUMBER OF SURFACES 0 NUMBER OF SUPPORTS 2
Using 64-bit analysis engine.
SOLVER USED IS THE IN-CORE ADVANCED MATH SOLVER
TOTAL PRIMARY LOAD CASES = 1, TOTAL DEGREES OF FREEDOM = 1710
TOTAL LOAD COMBINATION CASES = 0 SO FAR.
205. FINISH