GATE CE 2022: Soil Mechanics & Foundation Engineering#14

Find the ultimate bearing capacity of a continuous footing having width 1.45 m and depth 1.2 m in a soil (c = 26 kN/m², ϕ = 38˚, γ = 19.25 kN/m³) as per Terzaghi’s theory. Use N_c = 81.7, N_q = 65.4 and N_γ = 75 .45

A square footing is to be designed to carry a total load of 385 kN. Determine the size of the footing using a Factor of safety of 3 if it is embedded in a cohesionless soil (ϕ = 32˚, γ = 19.5 kN/m³) up to a depth of 1.45 m.

Assume general shear failure with N_c = 45.4, N_q = 48.7 and N_γ = 28.8.

A strip footing of width 2m rest below ground surface at a depth of 1.5 cm. The water table is present at a depth of 1 m below the ground surface. What will be the water table correction factor for 2^nd and 3^rd term in Terzaghi bearing capacity equation respectively?

A square footing of 2.5m× 2.5m size has been founded at 1.2m below the ground level in a cohesion soil having bulk density of 1.8t/m³ and unconfined compressive strength of 6.0 t/m². Determine the ultimate bearing capacity of footing for a FOS of 3.0 by Skempton’s Method. (In t/m²)

What will be the safe bearing capacity of a footing 2 m × 1.5 m resting at a depth of 1.2 m below ground level in a homogeneous soil layer having c = 40 kN/m² and ϕ = 29°? The unit weight of the soil is 20 kN/m² and F.O.S. = 2.5 [Given, N_c = 25, N_q = 12.5, N_γ = 10]