Answer to Question #256286 in Physics for arjhay

Question

A steel circular rod with a radius of 15 cm is placed between two vertical supports

at 15 degrees Celsius. What compressive force is exerted by the vertical supports

if the temperature increases to 60 degrees Celsius? (The coefficient of linear

expansion for steel is 12 x 10-6°C-1 and the elastic modulus of steel is 200 x 10-9 N/m2).

Answer 1

The force is

$$F=\sigma A=\epsilon EA=(1+\alpha T)EA,\\ F=2·10^{11}\text{ N}.$$