3. (35 points) A simple beam AB of span length L = 22 ft (Fig. 3a) supports a uniform load of intensity q = 1.5 kip/ft (weight of beam included) and a concentrated load P = 12 kip. The concentrated load acts at a point 9.0 ft from the left-hand end of the beam. The beam is constructed of glued laminated wood and has a cross section of width b = 8.75 in. and height h=27 in. (Fig 3b): (a) Determine the moment of inertia of the cross section (b) Given the shear diagram of the beam, determine the max bending moment in the beam (c) Determine the maximum tensile and compressive stresses in the beam due to bending. |P = 12 k -9 ft- q=1.5 k/ft L=22 ft- Fig 3a B V 23.59 (k) h=27 in. 10.09 0 -1.91 b=8.75 in. Fig 3b -21.41 Fig 3c