An isolated concrete pavement slab of length $L$ is resting on a frictionless base. The temperature of the top and bottom fibre of the slab are $T_{t}$ and $T_{b}$, respectively. Given: the coefficient of thermal expansion $=\alpha$ and the elastic modulus $=E$. Assuming $T_{t}>T_{b}$ and the unit weight of concrete as zero, the maximum thermal stress is calculated as
(A) $L \alpha\left(T_{t}-T_{b}\right)$
(B) $E \alpha\left(T_{t}-T_{b}\right)$
(C) $\frac{E \alpha\left(T_{t}-T_{b}\right)}{2}$
(D) zero

Question ID - 156961 | SaraNextGen Top Answer

An isolated concrete pavement slab of length $L$ is resting on a frictionless base. The temperature of the top and bottom fibre of the slab are $T_{t}$ and $T_{b}$, respectively. Given: the coefficient of thermal expansion $=\alpha$ and the elastic modulus $=E$. Assuming $T_{t}>T_{b}$ and the unit weight of concrete as zero, the maximum thermal stress is calculated as
(A) $L \alpha\left(T_{t}-T_{b}\right)$
(B) $E \alpha\left(T_{t}-T_{b}\right)$
(C) $\frac{E \alpha\left(T_{t}-T_{b}\right)}{2}$
(D) zero