A composite beam is fabricated by bolting two 3.9-in-wide by 8-in.-deep timber planks to the sides of a 0.4-in. by 8-in. steel plate. The moduli of elasticity of the timber and the steel are 1630 ksi and 30900 ksi, respectively. The simply supported beam spans a distance of 12 ft and carries two concentrated loads P, which are applied as shown. Assume LAB = LCD = 3 ft, LBC = 6 ft, b = 3.9 in., d = 8 in. and t = 0.4 in. (a) Determine the maximum bending stresses 0₁, 0, produced in the timber planks and the steel plate if P = 2 kips. (b) Assume that the allowable bending stresses of the timber and the steel are 1250 psi and 27900 psi, respectively. Determine the largest acceptable magnitude for concentrated loads P. (You may neglect the weight of the beam in your calculations.) LAB BO в LBC C LCD D

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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A composite beam is fabricated by bolting
two 3.9-in-wide by 8-in.-deep timber planks to
the sides of a 0.4-in. by 8-in. steel plate. The
moduli of elasticity of the timber and the steel
are 1630 ksi and 30900 ksi, respectively. The
simply supported beam spans a distance
of 12 ft and carries two concentrated loads P,
which are applied as shown. Assume LAB = LCD=
3 ft, LBC = 6 ft, b = 3.9 in., d = 8 in. and t = 0.4 in.
(a) Determine the maximum bending stresses
0, 0, produced in the timber planks and the
steel plate if P = 2 kips.
(b) Assume that the allowable bending stresses
of the timber and the steel are 1250 psi
and 27900 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 =
i
LAB
ksi, o, =
i
ksi.
(b) P =
i
kips.
B
LBC
F
b
Cross section
LCD
D
Transcribed Image Text:A composite beam is fabricated by bolting two 3.9-in-wide by 8-in.-deep timber planks to the sides of a 0.4-in. by 8-in. steel plate. The moduli of elasticity of the timber and the steel are 1630 ksi and 30900 ksi, respectively. The simply supported beam spans a distance of 12 ft and carries two concentrated loads P, which are applied as shown. Assume LAB = LCD= 3 ft, LBC = 6 ft, b = 3.9 in., d = 8 in. and t = 0.4 in. (a) Determine the maximum bending stresses 0, 0, produced in the timber planks and the steel plate if P = 2 kips. (b) Assume that the allowable bending stresses of the timber and the steel are 1250 psi and 27900 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 = i LAB ksi, o, = i ksi. (b) P = i kips. B LBC F b Cross section LCD D
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