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Civil Engineering : Strength of Materials - Quiz(MCQ)
A solid metal bat of uniform diameter D and length L is hung vertically from a ceiling. If the density of the material of the bar is 1 and the modulus of elasticity is E, then the total elongation of the bar due to its own weight will be ________.
A)
E/2L
B)
L/2E
C)
E/2L²
D)
L²/2E

Correct Answer :   L²/2E


Explanation : The elongation of bar due to its own weight is δ= WL/2AE
Now W = ρAL
There fore δ= L² / 2E.

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