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Thermal Stresses in Composite Bars

A steel bar i...

Question

A steel bar is held by two fixed supports as shown in the figure and is subjected to an increase of temperature $Δ T = 100^{o} C$ . If the coefficient of thermal expansion and Young's modulus of elasticity of steel are $11 \times 10^{- 6} /^{o} C$ and 200 GPa, respectively. the magnitude of thermal stress (in MPa) induced in the bar is

220

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Solution

The correct option is A 220
We know that for completely restricted expansion thermal stress developed in bar is given by

$σ_{t h} = α (Δ T) E$

$= 11 \times 10^{- 6} \times 100 \times 200 \times 10^{3}$

=220 MPa (compressive in nature)

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