A composite beam is fabricated by bolting two 2.9-in.-wide by 13-in.-deep timber planks to the sides of a 0.5-in. by 13-in. steel plate. The moduli of elasticity of the timber and the steel are 1650 ksi and 28700 ksi, respectively. The simply supported beam spans a distance of 11 ft and carries two concentrated loads P, which are applied as shown. Assume LAB = LcD = 3 ft, LBc= 5 ft, b = 2.9 in., d = 13 in. and t= 0.5 in. (a) Determine the maximum bending stresses o,, o, produced in the timber planks and the steel plate if P = 2.1 kips. (b) Assume that the allowable bending stresses of the timber and the steel are 1060 psi and 25000 psi, respectively. Determine the largest acceptable magnitude for concentrated loads P. (You may neglect the weight of the beam in your calculations.) B D LAB LBc LCD d

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter6: Stresses In Beams (advanced Topics)
Section: Chapter Questions
Problem 6.8.1P: A simple beam with a W 10 x 30 wide-flange cross section supports a uniform load of intensity q =...
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A composite beam is fabricated by bolting two 2.9-in.-wide by 13-in.-deep timber planks to the sides of a 0.5-in. by 13-in. steel plate.
The moduli of elasticity of the timber and the steel are 1650 ksi and 28700 ksi, respectively. The simply supported beam spans a
distance of 11 ft and carries two concentrated loads P, which are applied as shown. Assume LAB = LCD = 3 ft, Lgc = 5 ft, b = 2.9 in., d = 13
in. and t = 0.5 in.
(a) Determine the maximum bending stresses o,, o, produced in the timber planks and the steel plate if P = 2.1 kips.
(b) Assume that the allowable bending stresses of the timber and the steel are 1060 psi and 25000 psi, respectively. Determine the
largest acceptable magnitude for concentrated loads P. (You may neglect the weight of the beam in your calculations.)
P
P
B
D
LẠB
LBC
LCD
d
b
Transcribed Image Text:A composite beam is fabricated by bolting two 2.9-in.-wide by 13-in.-deep timber planks to the sides of a 0.5-in. by 13-in. steel plate. The moduli of elasticity of the timber and the steel are 1650 ksi and 28700 ksi, respectively. The simply supported beam spans a distance of 11 ft and carries two concentrated loads P, which are applied as shown. Assume LAB = LCD = 3 ft, Lgc = 5 ft, b = 2.9 in., d = 13 in. and t = 0.5 in. (a) Determine the maximum bending stresses o,, o, produced in the timber planks and the steel plate if P = 2.1 kips. (b) Assume that the allowable bending stresses of the timber and the steel are 1060 psi and 25000 psi, respectively. Determine the largest acceptable magnitude for concentrated loads P. (You may neglect the weight of the beam in your calculations.) P P B D LẠB LBC LCD d b
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