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GATE Exam Questions

Q1:

A footing 2 m x 1 m exerts a uniform pressure of 150 kN/m2 on the soil. Assuming a load dispersion of 2 vertical to 1 horizontal the average vertical stress (kN/m2) at 1.0 m below the footing is

A 50

B 75

C 80

D 100

ANS:A - 50

F = 150 * 2 * 1 (rectangular base) = 300kN.

Load disperses under the footing in a trapezoidal pattern, with 2V:1H.
Area of trapezium= 1/2(4+2)2 = 6m^2.
Ave vertical stress at 1m below = 300/6 = 50 kN/m^2.



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