A composite beam is fabricated by bolting two 3.9-in.-wide by 13-in.-deep timber planks to the sides of a 0.6-in. by 13-in. steel plate. The moduli of elasticity of the timber and the steel are 1540 ksi and 28100 ksi, respectively. The simply supported beam spans a distance of 19 ft and carries two concentrated loads P, which are applied as shown. Assume LAB=LCD= 6 ft, LBC=7 ft, b = 3.9 in., d = 13 in. and t = 0.6 in. (a) Determine the maximum bending stresses 0, 0, produced in the timber planks and the steel plate if P = 2.7 kips. (b) Assume that the allowable bending stresses

Structural Analysis
6th Edition
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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 13-in.-deep timber planks
to the sides of a 0.6-in. by 13-in. steel plate. The
moduli of elasticity of the timber and the steel
are 1540 ksi and 28100 ksi, respectively. The
simply supported beam spans a distance
of 19 ft and carries two concentrated loads P,
which are applied as shown. Assume LAB = LCD=
6 ft, LBC = 7 ft, b = 3.9 in., d = 13 in. and t = 0.6 in.
(a) Determine the maximum bending stresses
o, os produced in the timber planks and the
steel plate if P = 2.7 kips.
(b) Assume that the allowable bending stresses
of the timber and the steel are 1180 psi
and 25500 psi, respectively. Determine the
largest acceptable magnitude for concentrated
loads P. (You may neglect the weight of the
beam in your calculations.)
Answers:
(a) o, =
i
LAB
ksi, o, =
i
ksi.
(b) P=
i
kips.
B
LBC
AF
Cross section
C
LCD
D
Transcribed Image Text:A composite beam is fabricated by bolting two 3.9-in.-wide by 13-in.-deep timber planks to the sides of a 0.6-in. by 13-in. steel plate. The moduli of elasticity of the timber and the steel are 1540 ksi and 28100 ksi, respectively. The simply supported beam spans a distance of 19 ft and carries two concentrated loads P, which are applied as shown. Assume LAB = LCD= 6 ft, LBC = 7 ft, b = 3.9 in., d = 13 in. and t = 0.6 in. (a) Determine the maximum bending stresses o, os produced in the timber planks and the steel plate if P = 2.7 kips. (b) Assume that the allowable bending stresses of the timber and the steel are 1180 psi and 25500 psi, respectively. Determine the largest acceptable magnitude for concentrated loads P. (You may neglect the weight of the beam in your calculations.) Answers: (a) o, = i LAB ksi, o, = i ksi. (b) P= i kips. B LBC AF Cross section C LCD D
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