A composite beam is fabricated by bolting two 2-in.-wide by 12-in.-deep timber planks to the sides of a 0.7-in. by 12-in. steel plate. The moduli of elasticity of the timber and the steel are 1790 ksi and 31800 ksi, respectively. The simply supported beam spans a distance of 21 ft and carries two concentrated loads P, which are applied as shown. Assume LAB = LCD = 7 ft, LBC = 7 ft, b = 2 in., d = 12 in. and t = 0.7 in. (a) Determine the maximum bending stresses σtσt, σsσs produced in the timber planks and the steel plate if P = 3.9 kips. (b) Assume that the allowable bending stresses of the timber and the steel are 1050 psi and 20800 psi, respectively. Determine the largest acceptable magnitude for concentrated loads P. (You may neglect the weight of the beam in your calculations.)
A composite beam is fabricated by bolting two 2-in.-wide by 12-in.-deep timber planks to the sides of a 0.7-in. by 12-in. steel plate. The moduli of elasticity of the timber and the steel are 1790 ksi and 31800 ksi, respectively. The simply supported beam spans a distance of 21 ft and carries two concentrated loads P, which are applied as shown. Assume LAB = LCD = 7 ft, LBC = 7 ft, b = 2 in., d = 12 in. and t = 0.7 in.
(a) Determine the maximum bending stresses σtσt, σsσs produced in the timber planks and the steel plate if P = 3.9 kips.
(b) Assume that the allowable bending stresses of the timber and the steel are 1050 psi and 20800 psi, respectively. Determine the largest acceptable magnitude for concentrated loads P. (You may neglect the weight of the beam in your calculations.)
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