Physics - Heat & Thermo Question with Solution | TestHub

A long, thin metal bar of length $\ell$ is clamped rigidly at its ends at temperature ${\mathrm{t}}_0$. When the temperature is increased to $t$, the expanding bar will bow out, as shown below. If the bowing is not too large, a fair first approximation to the shape of the bar is two equal straight segments in the form of a wide V. What is the $\mathrm{arch}\delta$ of the bow as a function of t ? (This is the distance between the corner of the V and the straight line that represents the form of the bar at ${\mathrm{t}}_0$).