A steel pile (H-section; HP 310 × 125; see Table 12.1a) is driven into a layer of sandstone. The length of the pile is 25 m. Following are the properties of the sandstone: unconfined compression strength = q_u(lab) = 80 MN/m² and angle of friction = 36°. Using a factor of safety of 3, estimate the allowable point load that can be carried by the pile. Use [q_usdesignd = q_uslabd/5].

Table 12.1a

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Moment of inertia Designation, size (mm) x weight (kg/m) Flange and web (m* x 10-6) Depth di Section area thickness w Flange width d, (mm) (m² x 10-3) yy (mm) (mm) НР 200 х 53 204 6.84 11.3 207 49.4 16.8 HP 250 X 85 254 10.8 14.4 260 123 42 X 62 246 8.0 10.6 256 87.5 24 HP 310 X 125 312 15.9 17.5 312 271 89 X 110 308 14.1 15.49 310 237 77.5 х 93 303 11.9 13.1 308 197 63.7 X 79 299 10.0 11.05 306 164 62.9 HP 330 X 149 334 19.0 19.45 335 370 123 X 129 329 16.5 16.9 333 314 104 X 109 324 13.9 14.5 330 263 86 X 89 319 11.3 11.7 328 210 69 HP 360 X 174 361 22.2 20.45 378 508 184 X 152 356 19.4 17.91 376 437 158 X 132 351 16.8 15.62 373 374 136 X 108 346 13.8 12.82 371 303 109