1. A metal beam of span L=3ft is simply supported at points A and B (see Fig. (a)). The uniform load on the beam (including its own weight) is q-160 lb/in. The cross section of the beam is rectangular (see Fig. (b)) with width b=1 in and height=4 in. a) Determine the normal stress and the magnitude of the shear stress Te at point C, which is located 1 in below the top of the beam and 8 in from the right hand support. b) Show these stresses, i.e., the normal and shear stresses found in part a), on a sketch of a stress element at point C. c) For the stress state shown in part b), determine the principal planes, principal stresses and sketch the orientation of the planes of principal stresses. A z 4 in. q = 160 lb/in. = 2.0 in. = 2.0 in. C 3 in. L = 3 ft (a) O b = 1.0 in. (b) 8 in. 1.0 in. B y = 1.0 in.