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Q.

A bar of length l, breadth b and depth d is supported at its ends and is loaded at the centre by a load W. If Y is the Young's modulus of the material of the bar, then the depression δ at the centre is

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a

Wl34bd3Y

b

Wb34dl3Y

c

Wl3bd3Y

d

Wd34lb3Y

answer is A.

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Detailed Solution

A bar of length l, breadth b, and depth d when loaded at the centre by a load W sags by an amount given by

δ=Wl34bd3Y

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