Determine the thermal stresses at a b in a cylinder with pr

Determine the thermal stresses at a & b in a cylinder with properties 2a = 3/8 in, 2b = 1 & 1/4 in, and ((E*alpha)/(1-Mu))=615, if the inner temperature T_i = -1C and the outer temperature is zero.

Use temperature distribution as: T=(T_i*ln(b/r))/(ln(b/a))

1) Sketch the profile of the thermal stresses and locate the maximum value of the radial stress.

Solution

Determine the thermal stresses at a & b in a cylinder with properties 2a = 3/8 in, 2b = 1 & 1/4 in, and ((E*alpha)/(1-Mu))=615, if the inner temperature T_i = -1C and the outer temperature is zero.

Use temperature distribution as: T=(T_i*ln(b/r))/(ln(b/a))

1) Sketch the profile of the thermal stresses and locate the maximum value of the radial stress.