고체역학 (Gere) — Axially Loaded Members: Problem 2.3-24

2.3-24 A post AB supporting equipment in a laboratory is tapered uniformly throughout its height H (see figure). The cross sections of the post are square, with dimensions b x b at the top and 1.5b x 1.5b at the base. Derive a formula for the shortening \(\delta\) of the post due to the compressive load P acting at the top. (Assume that the angle of taper is small and disregard the weight of the post itself.)