A solid steel cube constrained on all six faces is heated so that the temperature rises uniformly by $\Delta T$. If the thermal coefficient of the material is $\alpha$, Young's modulus is $E$ and the Poisson's ratio is $v,$ the thermal stress developed in the cube due to heating is

(A) $-\frac{\alpha(\Delta T) E}{(1-2 v)}$

(B) $-\frac{2 \alpha(\Delta T) E}{(1-2 v)}$

(C) $-\frac{3 \alpha(\Delta T) E}{(1-2 v)}$

(D) $-\frac{\alpha(\Delta T) E}{3(1-2 v)}$

A solid steel cube constrained on all six faces is heated so that the temperature rises uniformly by $\Delta T$. If the thermal coefficient of the material is $\alpha$, Young's modulus is $E$ and the Poisson's ratio is $v,$ the thermal stress developed in the cube due to heating is

(A) $-\frac{\alpha(\Delta T) E}{(1-2 v)}$

(B) $-\frac{2 \alpha(\Delta T) E}{(1-2 v)}$

(C) $-\frac{3 \alpha(\Delta T) E}{(1-2 v)}$

(D) $-\frac{\alpha(\Delta T) E}{3(1-2 v)}$

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