A free bar of length l is uniformly heated from 0- to a temperature t-C- - is the coefficient of linear expansion and E is the modulus of elasticity- The stress in the bar is

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Strength of Materials

Thermal Stresses in Composite Bars

A free bar of...

Question

A free bar of length $l$ is uniformly heated from $0^{\circ}$ to a temperature $t^{\circ} C$ , $α$ is the coefficient of linear expansion and E is the modulus of elasticity. The stress in the bar is

α t E

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α t E / 2

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Zero

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None of these

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Solution

The correct option is C Zero
If a bar is free, it will expand freely on heating and no thermal stress will generate. Thermal stress gets generated only when bar is constrained.

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A free bar of length l is uniformly heated from 0∘ to a temperature t∘C, α is the coefficient of linear expansion and E is the modulus of elasticity. The stress in the bar is

The correct option is C ZeroIf a bar is free, it will expand freely on heating and no thermal stress will generate. Thermal stress gets generated only when bar is constrained.

A free bar of length $l$ is uniformly heated from $0^{\circ}$ to a temperature $t^{\circ} C$ , $α$ is the coefficient of linear expansion and E is the modulus of elasticity. The stress in the bar is

The correct option is C Zero
If a bar is free, it will expand freely on heating and no thermal stress will generate. Thermal stress gets generated only when bar is constrained.