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Question
The length, coefficient of thermal expansion and young's modulus of bar 'A' are twice that of bar 'B'. If the temperature of both bars is increased by the same amount while preventing any expansion, then the ratio of stress developed in bar A to that in bar B will be
A.
2
B.
4
C.
8
D.
16
Answer ( Option B)

4

Solution

Given:

EA = 2EB

αA = 2αB

ΔT is same for both bars

 σA
= EA .αA .ΔT = (2EB)(2∝B)(ΔT) = 4x (EBαΔT) = 4σB

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