Consider a steel H-pile (HP 310 × 125) 30 m long, embedded fully in a sandy soil. Assume nh = 12 MN/m³. Assume also that the pile is flexible and is free headed (e/D = 2). Let the yield stress of the pile material, Fy = 248'000 kN/m²; the elastic modulus, Ep = 207 × 103 MN/m²; the unit weight of the soil y = 17 kN/m³, and the soil friction angle ' = 32°. The allowable displacement at the pile head xo is 10 mm. 1-i) Determine the allowable lateral load Qg by using the Broms's method. Table 11.1 Common H-Pile Sections used in the United States Moment of Designation, size (mm) x weight (kg/m) Depth d₁ (mm) Section area (m² x 10-3) Flange and web thickness w inertia (m x 10-6) (mm) Flange width d₂ (mm) 1xx Lyy HP 200 x 53 204 6.84 11.3 207 49.4 16.8 HP 250 × 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 X 93 303 11.9 13.1 308 197 63.7 × 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 × 109 324 13.9 14.5 330 263 86 × 89 319 11.3 11.7 328 210 69 HP 360 × 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 × 108 346 13.8 12.82 371 303 109 I