A composite beam is fabricated by bolting two wooden boards (b = 3 in. and d = 12 in.) to the sides of a steel plate (t = 0.5 in. and d = 12 in.), as shown in Figure (b). The moduli of elasticity of the wood and the steel are 1,800 ksi and 30,000 ksi, respectively. The simply supported beam spans a distance of L = 24 ft and carries a uniformly distributed load of w as shown in Figure (a). (You may neglect the weight of the beam in your calculations.) (a) Determine the maximum bending stresses produced in the wooden boards and the steel plate if w = 400 lb/ft. (b) Assume that the allowable bending stresses of the wood and the steel are 1,200 psi and 24,000 psi, respectively. Determine the largest acceptable magnitude for distributed load w
A composite beam is fabricated by bolting two wooden boards (b = 3 in. and d = 12 in.) to the sides of a
steel plate (t = 0.5 in. and d = 12 in.), as shown in Figure (b). The moduli of elasticity of the wood and
the steel are 1,800 ksi and 30,000 ksi, respectively. The simply supported beam spans a distance of L =
24 ft and carries a uniformly distributed load of w as shown in Figure (a). (You may neglect the weight
of the beam in your calculations.)
(a) Determine the maximum bending stresses produced in the wooden boards and the steel plate if w =
400 lb/ft.
(b) Assume that the allowable bending stresses of the wood and the steel are 1,200 psi and 24,000 psi,
respectively. Determine the largest acceptable magnitude for distributed load w.
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