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GATE CE 2021: Soil Mechanics & Foundation Engineering#15 (App update required to attempt this test)

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Question 1

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 Nc = 81.7, Nq = 65.4 and Nγ = 75 .45

Question 2

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 Nc = 45.4, Nq = 48.7 and Nγ = 28.8.

Question 3

If the settlement ratio of foundation to plate of 30 cm diameter in case of clayey soil is twice that of granular soil, then the width of foundation (in cm) will be

Question 4

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)

Question 5

A square footing located at a depth of 1.3 m below the ground has to carry a safe load of 800 kN. The size (in m) of the footing, if the desired factor of safety is 3, by using the following properties of the soil is
Void ratio = 0.55, Degree of saturation = 50%
Specific gravity = 2.67, c = 8 kN/m3, = 30 °

[Use Terzaghi's analysis]

Question 6

With the soil profile as shown below, calculate the settlement (in cm) that will occur, if the water table gradually drops to elevation = - 6 m.
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Oct 31ESE & GATE CE