The 50mm diameter bronze bar is fixed at support A and has a

The 50-mm diameter bronze bar is fixed at support A and has a gap of 2 mm from the wall at B Determine the increase in temperature Delta T required to cause the bar to buckle. Assume that the contact at B acts as a pin. Use alpha = 17 times 10^6/C degree and E=100 GPa.

Solution

Here

delta , d = 2 mm

Length , L = 1 m

alpha , a = 17 *10^-6 1/degree C

Now , let the increase in temperature is del T

change in length = L * a * del T

0.002 = 1 * 17 *10^-6 * del T

del T = 117.6 degree C

the increase in temperature must be 117.6 degree C