Chapter 4.6, Problem 4.86P

The metal strap has a thickness t and width w and is subjected to a temperature gradient T₁ to T₂: (T₁<T₂). This causes the modulus of elasticity for the material to vary linearly from E₁ at the top to a smaller amount E₂ at the bottom. As a result, for any vertical position y, measured from the top surface. E=[(E₂−E₁)/w]y+E₁. Determine the position d where the axial force P must be applied so that the bar stretches uniformly over its cross section.

Prob. 4–86