Section: Solid Mechanics | Marks: 2
A rectangular plate of uniform thickness having initial length a and width b is placed between two rigid immovable walls. The temperature of the plate is increased by ΔT. The plate is free to expand along the y and z directions. The mid-surface of the plate remains in the xy-plane. The Poisson’s ratio is ν and the coefficient of thermal expansion is α. Assuming that the plate is initially free of stresses, the change in length of the plate after the increase in temperature is given by
- A. (1 ) a T να − Δ
- B. (1 ) a T να + Δ
- C. a T αΔ
- D. 2a T αΔ
Answer: B. (1 ) a T να + Δ