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GATE Exam Questions - Engineering

Q1:

A test plate 30 cm x 30 cm resting on a sand deposit settles by 10 mm under a certain loading intensity. A footing 150 cm x 200 cm resting on the same sand deposit and loaded to the same load intensity settles by

A 2.0 mm

B 27.8 mm

C 3.02 mm

D 50.0 mm

ANS:B - 27.8 mm

For sand,

S_f /S_p = [(B_f*(B_p + 30))/(B_p*(B_f + 30))]^2.
B_f = width of footing in cm.
b_p = width of plate in cm.

So answer: 27.7777 mm.