$3\mathrm{.}4$ Derive the expressions for the maximum deflection and maxiMum moments for the beam$-$columns shown in Figs. P$3,4$a$,$b$.$ Using

a$.$ General Differential Equation

b$.$ Principle of Superposition

Determine the value of $$ if the expression

$[\frac{1+(\frac{P}{P_{ek}})}{1-(\frac{P}{P_{ek}})}]M_0$

FIGURE P$3\mathrm{.}4$

$($b$)$