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Question

A steel cube, with all faces free to deform, has Young's modulus E, Poisson's ratio ν, and coefficient of thermal expansion α. The pressure (hydrostatic stress) developed within the cube, when it is subjected to a uniform increase in temperature, ΔT, is given by

A
0
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B
α(ΔT)E12v
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C
α(ΔT)E12v
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D
α(ΔT)E3(12v)
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Solution

The correct option is A 0
As all forces are free to deform, there is no thermal stress.

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