Chapter 8, Problem 27P

A simply supported beam is subjected to a load P as shown in Fig. P8.27. The deflection of the beam is given by

$y\left(x\right)=\frac{Pbx}{6EII}\left(x^2+b^2-t^2\right),0\le x\le \frac{1}{2}$ where EI k the flexural rigidity of the beam. Find the following:

(a) The location and the value of maximum deflection $y_{\max }$.

(b) The value of the slope $\theta =\frac{dy\left(x\right)}{dx}$ the end $x=0$.