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Problem 3. (30 points) A wooden beam is composed of a 2 x8 (1.5x7.25) top flange and a 3x10 (2.5x9.25) web to form a T section. Assume that the two members are glued together. L-16 ft. (a) For a uniform dead load of 20 lb/ft over the entire beam span and a uniform live load of 80 lb/ft over the left half of the span, draw the shear and moment diagrams. (b) Determine the cross-sectional properties of the built-up section, namely G) location of neutral axis from the bottom of the beam, ỹ, (ii) moment of inertia. I, and (iii) section modulus. S. (c) Calculate (i) the maximum shear stress and (ii) the shear stress at the glue plane. (d) Calculate the flexural stresses at the top and bottom of the beam. The beam is simply supported.
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