engineering recuitment UPCL AE (E&M) 2021 Mock Test Strength of Materials Simple Stress and Strain Thermal Stress and Strain
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
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0
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\(\frac{{{\rm{\alpha }}\left( {{\rm{\Delta T}}} \right){\rm{E}}}}{{1 - 2{\rm{v}}}}\)
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\(- \frac{{{\rm{\alpha }}\left( {{\rm{\Delta T}}} \right){\rm{E}}}}{{1 - 2{\rm{v}}}}\)
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\(\frac{{{\rm{\alpha }}\left( {{\rm{\Delta T}}} \right){\rm{E}}}}{{3\left( {1 - 2{\rm{v}}} \right)}}\)