A compounded bar consists of material A encased in material B. It is tightly secured at the ends. The coefficient of thermal expansion of A is more than that of B. If the temperature of the bar is increased, the stresses induced will be

tensile in both materials

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Compressive in both mate'rials

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tensile in material 8 and compressive in material A

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compressive in material 8 and tensile in material A

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Solution

The correct option is C tensile in material 8 and compressive in material A
Since $α_{A} > α_{B}$ , therefore the free expansion of A will be more than that of B when temperature is increased. But the compound bar tightly secured at the ends, hence the free expansion is prevented. Thus compressive stresses will be induced in A and tensile stresses will be induced in B.

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