Problem 694 The frame shown in Fig. P-694 is of constant cross section and is perfectly restrained at its lower end. Compute the vertical deflection caused by the couple M.
$\delta_v = a\theta + \delta$
$\delta_v = a\left( \dfrac{Mb}{EI} \right) + \dfrac{Ma^2}{2EI}$
$\delta_v = \dfrac{Mba}{EI} + \dfrac{Ma^2}{2EI}$
$\delta_v = \dfrac{Ma}{2EI}(2b + a)$ answer
Problem 695 Solve Problem 694 if the couple is replaced by a downward load P.
$\delta_v = a\left( \dfrac{Pab}{EI} \right) + \dfrac{Pa^3}{3EI}$
$\delta_v = \dfrac{Pa^2b}{EI} + \dfrac{Pa^3}{3EI}$
$\delta_v = \dfrac{Pa^2}{3EI}(3b + a)$ answer
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