A plastic beam has a cross section with dimensions of a-1.8 in., b-6.3 in., d-3.6 in., and t-0.5 in. The centroid is locatedc-1.523 in. above the bottom surface of the beam, and the moment of inertia of the shape about the z centroidal axis is I,- 12.88 in. 4. For a shear force of V- 3300 lb, what is the maximum shear stress in the beam? a t (typ.) Answer: Tmax 1i psi

The internal shear force V at a certain section of a steel beam is 79 kips. If the beam has the cross section shown (assume a = 2.1 in., b₁ = 3.5 in., b₂ = 7.6 in., tw = tf = 0.6 in., d = 11.6 in.), determine: (a) the value of Q associated with point H, which is located 2.1 in. below the top surface of the flanged shape. (b) the maximum horizontal shear stress Tmax in the flanged shape. a H d

If M, = 285 kip-ft, find the magnitude of the bending stress at a point H For the beam cross section, assume a = 9 in. b= 12 in. d= 31 in r= 45 in. The centroid of the cross section is located 14.16 in. below the uppermost surface of the beam. The moment of inertia about the z axis is 26227 in 4

6-50 The beam is subjected to a moment of M = 40 kN. m. Determine the bending stress acting at points A and B. Sketch the results on a volume element acting at each of these points. 50 mm B 50 mm 50 mm 50 mm 50 mm 50 mm Prob. 6-50 M = 40 kN·m