A beam of wide-flange cross section (see figure) has the following dimensions: b = 5 in., t = 0.5 in., h = 12 in., and h1 = 10.5 in. The beam is simply supported with span length L = 10 ft and supports a uniform load q = 6 k/ft.
Calculate the principal stresses (1 and (2 and the maximum shear stress Tmax at a cross section located 3 ft from the left-hand support at each of the following locations: (a) the bottom of the beam, (b) the bottom of the web, and (c) the neutral axis.