Chapter 10, Problem 10.4.38P

A fixed-end beam AB of a length L is subjected to a uniform load of intensity q acting over the middle region of the beam (sec figure).

1. Obtain a formula for the fixed-end moments M_Aand M_Bin terms of the load q, the length L, and the length h of the loaded part of the beam.

Plot a graph of the fixed-end moment M_Aversus the length b of the loaded part of the beam. For convenience, plot the graph in the following nondimensional form:

   $\frac{M_A}{q{L}^2/l2}\text{versus }\frac{b}{L}$

with the ratio b/L varying between its extreme values of 0 and 1.

(c) For the special case in which ù = h = L/3, draw the shear-force and bending-moment diagrams for the beam, labeling all critical ordinates.