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Q.

A tapered rod of non uniform cross-sectional area is fitted between two rigid supports. The rod is heated at the middle, then choose the incorrect options. 

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a

Compressive stress is maximum at narrow section

b

Elastic strain developed in the rod is zero as length remains same. 

c

Compressive stress is maximum at wider section 

d

Compressive stress is maximum at mid section

answer is B, C, D.

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Detailed Solution

Due to thermal strain, compressive force developed is same every where on the rod, but stress = F/ A is maximum at smallest value of A. As thermal strain is compensated by elastic strain, so elastic strain is not zero.

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