# Solid mechanics thermal stress of infinite cylinder

## Homework Statement

My problem is to calculate the Thermal stress of a Cylindric shell with inner radius a and outer radius b the inner surface is experiencing Temperature T1 and the outer surface is experiencing T2 with T1>T2 assuming that the linear thermal expansion coefficient is a, the Young modulus E and that the heat gradient within the shell is linear how to obtain the thermal stress (S) induced by these conditions?

## Homework Equations

Thermal stress as given by most sources I could find, no equation given in the problem
S=Ea (T1-T2)

## The Attempt at a Solution

I attempted to solve the problem with the equation above however I am hesitant to if it is right or not