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.)

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Concept explainers

Composite Construction

Composite construction is the construction of structures in which two or more materials are used. Regarding structural engineering, composite construction is a construction where two materials are bound together in a technical manner such that both the materials act as a single unit to carry and transfer the load. The motives of composite construction are to increase the structural strength, make structures more aesthetic, and provide a sustainable environment.

Question

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.)

LAB
Answers:
(a) o₁ =
i
ksi, os =
B
LBC
AF
Lodhod
b
Cross section
C
LCD
D

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