Thermal expansion across a copper rod

[dabess]

Homework Statement

Determine the actual shape of a copper bar in contact with a furnace at a constant 200 C at one end and a constant ice bank at 0 C at the other end.

Diameter of the rod is 2.54 cm. Length is .5 meters. Thermal conductivity of copper is 380 J /
(smC)

Homework Equations

Q = k A (Thot – Tcold)
t L

The Attempt at a Solution

Honestly, I have no idea how to do this. I know that I must find the temperature distribution across the rod in order to find the linear and volumetric expansion at each point. But I don't know how to do this.

 

[dabess]

bump. someone please help.