Comparison of the accuracy of various bearing capacity models for footings on single stone columns
| Designation | Observed load test data (Bergado and Lam, 1987) | Frikha and Bouassida (2014) | Modified Mitchell method | Modified Hughes and Withers method | Multiple linear regression model | ||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Friction angle, φ′: deg | qu /cu | qu: kPaa | qu: kPa | Biasb | qu: kPa | Bias | qu: kPa | Bias | qu: kPa | Bias | |||||
| G1 | 39·1 | 15·3 | 435 | 416 | 1·05 | 501 | 0·87 | 393 | 1·11 | 470 | 1·05 | ||||
| G2 | 38·4 | 14·3 | 404 | 404 | 1·00 | 501 | 0·81 | 380 | 1·06 | 470 | 0·98 | ||||
| G3 | 37·2 | 14·3 | 404 | 384 | 1·05 | 501 | 0·81 | 359 | 1·12 | 470 | 0·98 | ||||
| G4 | 37·0 | 14·3 | 404 | 381 | 1·06 | 501 | 0·81 | 356 | 1·13 | 470 | 0·98 | ||||
| G5 | 36·0 | 13·1 | 373 | 365 | 1·02 | 501 | 0·74 | 340 | 1·10 | 470 | 0·90 | ||||
| G6 | 37·6 | 13·1 | 373 | 391 | 0·95 | 501 | 0·74 | 366 | 1·02 | 470 | 0·90 | ||||
| G7 | 35·1 | 10·0 | 280 | 351 | 0·80 | 501 | 0·56 | 326 | 0·86 | 470 | 0·68 | ||||
| G8 | 36·2 | 10·0 | 280 | 368 | 0·76 | 501 | 0·56 | 343 | 0·82 | 470 | 0·68 | ||||
| G9 | 35·6 | 8·7 | 249 | 359 | 0·69 | 501 | 0·50 | 334 | 0·74 | 470 | 0·60 | ||||
| G10 | 37·4 | 14·2 | 404 | 388 | 1·04 | 501 | 0·81 | 363 | 1·11 | 470 | 0·98 | ||||
| G11 | 37·9 | 14·0 | 373 | 396 | 0·94 | 501 | 0·74 | 371 | 1·01 | 470 | 0·90 | ||||
| G12 | 42·5 | 15·3 | 435 | 481 | 0·90 | 501 | 0·87 | 464 | 0·94 | 470 | 1·05 | ||||
| G13 | 44·7 | 16·5 | 466 | 528 | 0·88 | 501 | 0·93 | 520 | 0·90 | 470 | 1·13 | ||||
| Mean | 0·94 | 0·75 | 0·99 | 0·91 | |||||||||||
| COV: %c | 13·00 | 17·70 | 13·20 | 17·70 | |||||||||||
| Designation | Observed load test data ( | Modified Mitchell method | Modified Hughes and Withers method | Multiple linear regression model | |||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Friction angle, | Biasb | Bias | Bias | Bias | |||||||||||
| G1 | 39·1 | 15·3 | 435 | 416 | 1·05 | 501 | 0·87 | 393 | 1·11 | 470 | 1·05 | ||||
| G2 | 38·4 | 14·3 | 404 | 404 | 1·00 | 501 | 0·81 | 380 | 1·06 | 470 | 0·98 | ||||
| G3 | 37·2 | 14·3 | 404 | 384 | 1·05 | 501 | 0·81 | 359 | 1·12 | 470 | 0·98 | ||||
| G4 | 37·0 | 14·3 | 404 | 381 | 1·06 | 501 | 0·81 | 356 | 1·13 | 470 | 0·98 | ||||
| G5 | 36·0 | 13·1 | 373 | 365 | 1·02 | 501 | 0·74 | 340 | 1·10 | 470 | 0·90 | ||||
| G6 | 37·6 | 13·1 | 373 | 391 | 0·95 | 501 | 0·74 | 366 | 1·02 | 470 | 0·90 | ||||
| G7 | 35·1 | 10·0 | 280 | 351 | 0·80 | 501 | 0·56 | 326 | 0·86 | 470 | 0·68 | ||||
| G8 | 36·2 | 10·0 | 280 | 368 | 0·76 | 501 | 0·56 | 343 | 0·82 | 470 | 0·68 | ||||
| G9 | 35·6 | 8·7 | 249 | 359 | 0·69 | 501 | 0·50 | 334 | 0·74 | 470 | 0·60 | ||||
| G10 | 37·4 | 14·2 | 404 | 388 | 1·04 | 501 | 0·81 | 363 | 1·11 | 470 | 0·98 | ||||
| G11 | 37·9 | 14·0 | 373 | 396 | 0·94 | 501 | 0·74 | 371 | 1·01 | 470 | 0·90 | ||||
| G12 | 42·5 | 15·3 | 435 | 481 | 0·90 | 501 | 0·87 | 464 | 0·94 | 470 | 1·05 | ||||
| G13 | 44·7 | 16·5 | 466 | 528 | 0·88 | 501 | 0·93 | 520 | 0·90 | 470 | 1·13 | ||||
| Mean | 0·94 | 0·75 | 0·99 | 0·91 | |||||||||||
| COV: %c | 13·00 | 17·70 | 13·20 | 17·70 | |||||||||||
a Assuming dp = 32 cm (Bergado and Lam, 1987).
b Defined as the ratio of the measured capacity and the predicted capacity.
c Coefficient of variation: defined as the ratio of the standard deviation of the point bias and the mean bias.
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