A composite beam is fabricated by bolting two 3-in.-wide by 9-in-deep timber planks to the sides of a 0.6-in. by 9-in. steel plate. The moduli of elasticity of the timber and the steel are 1630 ksi and 28400 ksi, respectively. The simply supported beam spans a distance of 15 ft and carries two concentrated loads P, which are applied as shown. Assume LAB=LCD= 4 ft, Lac = 7 ft, b = 3 in., d = 9 in. and t = 0.6 in. (a) Determine the maximum bending stresses ,,o, produced in the timber planks and the steel plate if P = 3.3 kips. (b) Assume that the allowable bending stresses of the timber and the steel are 970 psi and 24700 psi, respectively. Determine the largest acceptable magnitude for concentrated loads P. (You may neglect the weight of the beam in your calculations.) Answers: (a) σ₁ = (b) P = i LAB P B LBC F H kotko b Cross section ksi, o, = kips. LCD Mi D ksi.

Steel Design (Activate Learning with these NEW titles from Engineering!)
6th Edition
ISBN:9781337094740
Author:Segui, William T.
Publisher:Segui, William T.
Chapter9: Composite Construction
Section: Chapter Questions
Problem 9.1.3P
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A composite beam is fabricated by bolting two 3-in.-wide by 9-in-deep timber planks to the sides of a 0.6-in. by 9-in. steel plate. The
moduli of elasticity of the timber and the steel are 1630 ksi and 28400 ksi, respectively. The simply supported beam spans a distance
of 15 ft and carries two concentrated loads P, which are applied as shown. Assume LAB=LCD= 4 ft, Lac = 7 ft, b = 3 in., d = 9 in. and t = 0.6
in.
(a) Determine the maximum bending stresses ,,o, produced in the timber planks and the steel plate if P = 3.3 kips.
(b) Assume that the allowable bending stresses of the timber and the steel are 970 psi and 24700 psi, respectively. Determine the
largest acceptable magnitude for concentrated loads P. (You may neglect the weight of the beam in your calculations.)
Answers:
(a) σ₁ =
(b) P = i
LAB
P
B
LBC
F
Lolo
b
Cross section
ksi, o, =
kips.
LCD
D
ksi.
Transcribed Image Text:A composite beam is fabricated by bolting two 3-in.-wide by 9-in-deep timber planks to the sides of a 0.6-in. by 9-in. steel plate. The moduli of elasticity of the timber and the steel are 1630 ksi and 28400 ksi, respectively. The simply supported beam spans a distance of 15 ft and carries two concentrated loads P, which are applied as shown. Assume LAB=LCD= 4 ft, Lac = 7 ft, b = 3 in., d = 9 in. and t = 0.6 in. (a) Determine the maximum bending stresses ,,o, produced in the timber planks and the steel plate if P = 3.3 kips. (b) Assume that the allowable bending stresses of the timber and the steel are 970 psi and 24700 psi, respectively. Determine the largest acceptable magnitude for concentrated loads P. (You may neglect the weight of the beam in your calculations.) Answers: (a) σ₁ = (b) P = i LAB P B LBC F Lolo b Cross section ksi, o, = kips. LCD D ksi.
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