A composite beam is fabricated by bolting two 3.8-in-wide by 8-in.-deep timber planks to the sides of a 0.5-in. by 8-in. steel plate. The moduli of elasticity of the timber and the steel are 1720 ksi and 28700 ksi, respectively. The simply supported beam spans a distance of 17 ft and carries two concentrated loads P, which are applied as shown. Assume LAB = LCD= 3 ft, LBC = 11 ft, b = 3.8 in., d = 8 in. and t = 0.5 in. (a) Determine the maximum bending stresses 0₁, os produced in the timber planks and the steel plate if P = 2.2 kips. (b) Assume that the allowable bending stresses of the timber and the steel are 1210 psi and 26900 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 3.8-in-wide by 8-in.-deep timber planks to the sides of a 0.5-in. by 8-in. steel plate. The moduli of elasticity of the timber and the steel are 1720 ksi and 28700 ksi, respectively. The simply supported beam spans a distance of 17 ft and carries two concentrated loads P, which are applied as shown. Assume LAB = LCD= 3 ft, LBC = 11 ft, b = 3.8 in., d = 8 in. and t = 0.5 in. (a) Determine the maximum bending stresses 0₁, os produced in the timber planks and the steel plate if P = 2.2 kips. (b) Assume that the allowable bending stresses of the timber and the steel are 1210 psi and 26900 psi, respectively. Determine the largest acceptable magnitude for concentrated loads P. (You may neglect the weight of the beam in your calculations.)
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:A composite beam is fabricated by bolting
two 3.8-in-wide by 8-in.-deep timber planks to
the sides of a 0.5-in. by 8-in. steel plate. The
moduli of elasticity of the timber and the steel
are 1720 ksi and 28700 ksi, respectively. The
simply supported beam spans a distance
of 17 ft and carries two concentrated loads P,
which are applied as shown. Assume LAB = LCD=
3 ft, LBC = 11 ft, b = 3.8 in., d = 8 in. and t = 0.5 in.
(a) Determine the maximum bending stresses
0₁, os produced in the timber planks and the
steel plate if P = 2.2 kips.
(b) Assume that the allowable bending stresses
of the timber and the steel are 1210 psi
and 26900 psi, respectively. Determine the
largest acceptable magnitude for concentrated
loads P. (You may neglect the weight of the
beam in your calculations.)
Transcribed Image Text:LAB
Answers:
(a) o₁ =
i
ksi, os =
B
LBC
AF
Lodhod
b
Cross section
C
LCD
D
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