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Question

A brass bar of solid section is encased in a steel tube as shown in the diagram below



The coefficient of expansion of steel is 11.2×106 per °C and the coefficient of expansion of brass is 16.5×106 per°C. The composite bar is heated through 60°C.
Now consider the following statements:
1. The stress in the brass will be tensile.
2. The stress in the steel will be tensile.
3. The stress in the steel will be compressive.
4. The stress in the brass will be compressive.
Which of these statements are correct?

A
1 and 2
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B
1 and 3
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C
2 and 4
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D
2 and 3
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Solution

The correct option is C 2 and 4
As both brass and steel should move together by same amount and coefficient of expansion of brass is more than that of steel. So brass will have compressive stress and steel will be under tension.

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