ETSC$312,$ SP$24$

FInal Exam Study Gulde

$3.$ A post is constructed from a $4^{\text{'}\text{'}}{4}^{\text{'}\text{'}}($actual dimensions$)$ that is fixed on the bottom and pinned on the top. It is ${60}^{\text{'}\text{'}}$ tall. Assume the Young's Modulus $E=1\mathrm{.}9010$ PSI. Calculate the following:

c$.$ The moment of inertia Ix and ly

d$.$ The critical load Pcr

e$.$ The radius of gyration, the slenderness ratio, and the critical stress ocr