Abstract
Many codes provide empirical formulation for design shear strength of concrete which greatly vary from code to code. Moreover, many investigations into the shear problem that have been carried out have led to numerous empirical or semi-empirical formulae. These formulae usually agree quite well with the corresponding test result but not applicable for general use. The researchers have made use of experimental data set or analytical data set obtained from nonlinear finite element analysis. The equations are derived using nonlinear regression technique in which the form of the equation is required to be initially assumed. The present study investigates the application genetic programming (GP) in predicting the design shear strength of concrete. It is concluded that the values obtained by the equations derived from GP models estimate the design shear strength of concrete fairly close to the actual values.
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Annexure 1
Annexure 1
b: mm | d: mm | fc: MPa | Ptl: % | Ptv: % | fy: MPa | a/d | Vfail: KN |
---|---|---|---|---|---|---|---|
307 | 466 | 24 | 1.8 | 0.1 | 330 | 3.92 | 233 |
305 | 460 | 25 | 1.69 | 0.1 | 350 | 3.98 | 168 |
229 | 457 | 24 | 2.28 | 0.15 | 340 | 4.01 | 173 |
305 | 457 | 26 | 1.71 | 0.1 | 350 | 4.01 | 215 |
305 | 462 | 25 | 1.76 | 0.1 | 350 | 3.95 | 220 |
231 | 460 | 27 | 2.34 | 0.15 | 340 | 3.97 | 202 |
305 | 460 | 26 | 1.17 | 0.1 | 350 | 3.97 | 208 |
240 | 1200 | 25 | 1.26 | 0.15 | 440 | 3 | 468 |
152 | 272 | 34 | 4.16 | 0.21 | 276 | 3.6 | 117 |
152 | 272 | 31 | 4.16 | 0.21 | 276 | 3.6 | 112 |
76 | 95 | 29 | 1.97 | 0.16 | 275 | 3 | 16 |
76 | 132 | 28 | 3.95 | 0.12 | 258 | 3 | 25 |
76 | 132 | 26 | 3.95 | 0.34 | 179 | 3 | 28 |
76 | 132 | 28 | 3.95 | 0.12 | 258 | 4 | 20 |
152 | 298 | 22 | 3.36 | 0.12 | 292 | 3.6 | 76 |
152 | 298 | 28 | 3.36 | 0.26 | 269 | 3.6 | 95 |
152 | 298 | 47 | 3.36 | 0.26 | 269 | 3.6 | 121 |
152 | 298 | 69 | 3.36 | 0.26 | 269 | 3.6 | 151 |
152 | 298 | 82 | 3.36 | 0.26 | 269 | 3.6 | 116 |
152 | 298 | 47 | 3.36 | 0.38 | 271 | 3.6 | 133 |
152 | 298 | 83 | 3.36 | 0.38 | 271 | 3.6 | 150 |
305 | 539 | 36 | 2.49 | 0.14 | 525 | 3.1 | 338 |
305 | 539 | 36 | 2.49 | 0.07 | 525 | 3.1 | 222 |
305 | 539 | 56 | 2.49 | 0.14 | 525 | 3.1 | 383 |
406 | 385 | 29 | 2.31 | 0.39 | 549 | 2.65 | 460 |
457 | 871 | 72 | 1.88 | 0.16 | 445 | 3 | 788 |
457 | 762 | 125 | 2.35 | 0.16 | 483 | 3 | 749 |
457 | 762 | 125 | 2.89 | 0.23 | 464 | 3 | 1172 |
180 | 233 | 40 | 2.23 | 0.09 | 844 | 4 | 115 |
180 | 233 | 75 | 2.23 | 0.09 | 844 | 4 | 123 |
180 | 233 | 76 | 2.81 | 0.09 | 844 | 4 | 138 |
180 | 233 | 70 | 3.5 | 0.09 | 844 | 4 | 147 |
180 | 233 | 80 | 2.81 | 0.18 | 543 | 2.5 | 207 |
180 | 233 | 74 | 3.5 | 0.13 | 543 | 2.5 | 247 |
180 | 233 | 76 | 3.5 | 0.18 | 543 | 2.5 | 221 |
127 | 203 | 41 | 3.2 | 0.49 | 322 | 3 | 87 |
127 | 198 | 98 | 4.54 | 0.51 | 324 | 3 | 102 |
127 | 198 | 90 | 4.54 | 0.65 | 323 | 3 | 108 |
127 | 198 | 103 | 4.54 | 0.78 | 324 | 3 | 123 |
203 | 419 | 57 | 3.03 | 0.34 | 426 | 3.27 | 267 |
203 | 419 | 56 | 3.03 | 0.34 | 426 | 3.27 | 267 |
375 | 655 | 36 | 2.8 | 0.08 | 430 | 3.28 | 457 |
375 | 655 | 36 | 2.8 | 0.08 | 430 | 3.28 | 363 |
375 | 655 | 36 | 2.8 | 0.11 | 430 | 3.28 | 483 |
375 | 655 | 67 | 2.8 | 0.11 | 430 | 3.28 | 552 |
375 | 655 | 67 | 2.8 | 0.16 | 430 | 3.28 | 689 |
375 | 655 | 87 | 2.8 | 0.14 | 430 | 3.28 | 598 |
375 | 655 | 87 | 2.8 | 0.23 | 430 | 3.28 | 721 |
250 | 292 | 64 | 2.8 | 0.157 | 569 | 2.5 | 228 |
250 | 292 | 64 | 2.8 | 0.157 | 569 | 2.5 | 208 |
250 | 292 | 64 | 2.8 | 0.157 | 569 | 2.5 | 206 |
250 | 292 | 64 | 2.8 | 0.157 | 569 | 2.5 | 278 |
250 | 292 | 64 | 2.8 | 0.157 | 569 | 2.5 | 253 |
250 | 292 | 64 | 2.8 | 0.157 | 569 | 2.5 | 224 |
250 | 292 | 73 | 2.8 | 0.105 | 569 | 2.5 | 260 |
250 | 292 | 73 | 2.8 | 0.126 | 569 | 2.5 | 233 |
250 | 292 | 73 | 2.8 | 0.157 | 569 | 2.5 | 253 |
250 | 292 | 73 | 2.8 | 0.157 | 569 | 2.5 | 219 |
250 | 292 | 73 | 1.65 | 0.209 | 569 | 2.5 | 282 |
250 | 297 | 67 | 2.79 | 0.101 | 632 | 2.49 | 178 |
250 | 293 | 67 | 2.79 | 0.101 | 632 | 2.49 | 229 |
250 | 292 | 67 | 2.8 | 0.101 | 632 | 2.49 | 175 |
250 | 198 | 67 | 2.78 | 0.157 | 569 | 2.5 | 258 |
250 | 292 | 67 | 2.8 | 0.157 | 569 | 2.53 | 203 |
250 | 292 | 87 | 2.8 | 0.157 | 569 | 3.01 | 242 |
250 | 292 | 87 | 2.8 | 0.157 | 569 | 2.74 | 260 |
250 | 294 | 89 | 4.46 | 0.157 | 569 | 2.5 | 244 |
250 | 294 | 89 | 4.46 | 0.126 | 569 | 3.3 | 205 |
250 | 294 | 89 | 4.46 | 0.157 | 569 | 3.3 | 247 |
250 | 294 | 89 | 4.46 | 0.196 | 569 | 3.3 | 274 |
250 | 294 | 75 | 4.46 | 0.224 | 569 | 3.3 | 304 |
250 | 292 | 75 | 2.8 | 0.262 | 569 | 3.3 | 311 |
250 | 292 | 75 | 2.8 | 0.105 | 569 | 2.5 | 272 |
250 | 292 | 75 | 2.8 | 0.126 | 569 | 2.5 | 251 |
250 | 292 | 75 | 2.8 | 0.157 | 569 | 2.5 | 266 |
250 | 292 | 75 | 2.8 | 0.196 | 569 | 2.5 | 289 |
250 | 292 | 75 | 2.8 | 0.227 | 569 | 2.5 | 284 |
200 | 260 | 26 | 1.47 | 0.12 | 267 | 2.77 | 89 |
200 | 260 | 26 | 1.47 | 0.16 | 269 | 2.77 | 89 |
200 | 260 | 26 | 1.47 | 0.25 | 256 | 2.77 | 93 |
200 | 260 | 26 | 1.96 | 0.13 | 262 | 3.46 | 85 |
295 | 920 | 75 | 1.36 | 0.16 | 500 | 2.5 | 583 |
169 | 459 | 74 | 1.03 | 0.13 | 500 | 2.72 | 139 |
169 | 459 | 74 | 1.16 | 0.13 | 500 | 2.72 | 152 |
295 | 920 | 71 | 1.03 | 1.16 | 500 | 2.5 | 516 |
300 | 925 | 21 | 1.01 | 1.791 | 508 | 2.92 | 282 |
300 | 925 | 38 | 1.01 | 1.791 | 508 | 2.92 | 277 |
300 | 925 | 47 | 0.76 | 1.791 | 508 | 2.92 | 342 |
290 | 278 | 49 | 1.95 | 0.11 | 430 | 2.88 | 158 |
290 | 278 | 49 | 1.95 | 0.18 | 536 | 2.88 | 169 |
290 | 278 | 49 | 1.95 | 0.28 | 430 | 2.88 | 230 |
290 | 278 | 51 | 1.95 | 0.214 | 430 | 2.88 | 201 |
110 | 443 | 55 | 2.58 | 0.48 | 499 | 2.82 | 155 |
110 | 398 | 74 | 5.8 | 0.48 | 538 | 3.14 | 265 |
110 | 463 | 43 | 1.23 | 0.333 | 555 | 2.7 | 105 |
150 | 310 | 75 | 2.59 | 0.23 | 255 | 3 | 156 |
150 | 310 | 73 | 3.08 | 0.2 | 255 | 3 | 143 |
150 | 310 | 82 | 4.43 | 0.13 | 425 | 5 | 97 |
150 | 310 | 75 | 4.43 | 0.18 | 425 | 5 | 119 |
150 | 310 | 82 | 4.43 | 0.27 | 425 | 5 | 125 |
200 | 353 | 50 | 2.28 | 0.109 | 530 | 3.06 | 178 |
200 | 351 | 50 | 2.99 | 0.239 | 540 | 3.08 | 246 |
200 | 353 | 61 | 2.228 | 0.141 | 530 | 3.06 | 180 |
200 | 353 | 69 | 2.28 | 0.141 | 530 | 3.06 | 204 |
200 | 351 | 69 | 2.99 | 0.239 | 530 | 3.08 | 255 |
200 | 351 | 50 | 2.99 | 0.239 | 540 | 3.08 | 267 |
127 | 216 | 45 | 2.07 | 0.378 | 421 | 3 | 63 |
127 | 198 | 88 | 4.54 | 0.65 | 421 | 3 | 107 |
127 | 198 | 87 | 4.54 | 0.78 | 421 | 3 | 121 |
127 | 198 | 83 | 4.54 | 0.51 | 421 | 4 | 95 |
200 | 303 | 42 | 2.99 | 0.166 | 530 | 3.3 | 177 |
200 | 303 | 42 | 2.99 | 0.118 | 530 | 3.3 | 188 |
199 | 307 | 38 | 2.9 | 0.21 | 500 | 3.25 | 190 |
199 | 306 | 39 | 2.92 | 0.16 | 500 | 3.27 | 151 |
195 | 306 | 39 | 2.99 | 0.12 | 500 | 3.27 | 128 |
200 | 312 | 45 | 2.86 | 0.16 | 500 | 3.21 | 200 |
200 | 302 | 44 | 2.95 | 0.12 | 500 | 3.3 | 150 |
200 | 306 | 42 | 2.91 | 0.16 | 500 | 3.27 | 177 |
201 | 306 | 39 | 2.9 | 0.12 | 500 | 3.27 | 164 |
199 | 3053 | 41 | 2.93 | 0.21 | 500 | 3.28 | 202 |
199 | 305 | 45 | 2.93 | 0.16 | 500 | 3.28 | 193 |
199 | 307 | 43 | 2.91 | 0.12 | 500 | 3.25 | 147 |
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Namjoshi, P., Joshi, S. (2021). Estimation of Design Shear Strength of Concrete Using Genetic Programming. In: Gupta, L.M., Ray, M.R., Labhasetwar, P.K. (eds) Advances in Civil Engineering and Infrastructural Development. Lecture Notes in Civil Engineering, vol 87. Springer, Singapore. https://doi.org/10.1007/978-981-15-6463-5_66
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