1.

A solid steel cube constrained on all six faces is heated so that the temperature rises uniformly by ΔT. If the thermal coefficient of the material is α, Young’s modulus is E and the Poisson’s ratio is v, the thermal stress developed in the cube due to heating is

A. \(-\frac{{\alpha \left( {{\rm{\Delta }}T} \right)E}}{{\left( {1 - 2v} \right)}}\)
B. \(- \frac{{2\alpha \left( {{\rm{\Delta }}T} \right)E}}{{\left( {1 - 2v} \right)}}\)
C. \(- \frac{{3\alpha \left( {{\rm{\Delta }}T} \right)E}}{{\left( {1 - 2v} \right)}}\)
D. \(-\frac{{\alpha \left( {{\rm{\Delta }}T} \right)E}}{{3\left( {1 - 2v} \right)}}\)
Answer» B. \(- \frac{{2\alpha \left( {{\rm{\Delta }}T} \right)E}}{{\left( {1 - 2v} \right)}}\)


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