Question 3

A solid 30x30mm square beam with a length L=1.2 m is supported by a pin and roller. There is a 0.4mm gap between the beam and an adjacent rigid wall when the temperature is 10°C.

c) if the temperature is raised to 45°C and with the wall now in place as shown in the figure above, calculate the axial stress in the beam in MPa?   Indicate a compressive stress as a negative value. Do NOT include any units.

Assume Est = 200GPa, αst = 12x10-6/ºC. 

Give the answer to 1 decimal place.