Mechanics of Materials
11th Edition
ISBN: 9780137605460
Author: Russell C. Hibbeler
Publisher: Pearson Education (US)
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Textbook Question
Chapter 14.2, Problem 24P
Determine the bending strain energy in the simply supported beam. Solve the problem two ways, (a) Apply Eq. 14–17. (b) The load w dx acting on the segment dx of the beam is displaced a distance y, where y = w(−x4 + 2Lx3 − L3x)/(24EI), the equation of the elastic curve. Hence the internal strain energy in the differential segment dx of the beam is equal to the external work, i.e.,
Prob. 14–24
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Determine the maximum allowable intensity w of the uniform distributed load that can be applied to the beam. Assume w passes through the centroid of the beam’s cross-sectional area, and the beam is simply supported at A and B. The allowable bending stress is sallow = 165 MPa.
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bending moments that occur in the beam and the points along the length where each occurs. Take x = 0
to be at point A at the left edge of the beam.
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BY NC
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2016 Eric Davishahl
B
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Values for dimensions on the figure are given in the following table. Note the figure may not be to scale.
Variable Value
a
3.20 m
b
3.68 m
The maximum negative internal bending moment is
N-m
and occurs at x =
m to the right of A.
The maximum positive internal bending moment is
N-m
and occurs at x =
m to the right of A.
Chapter 14 Solutions
Mechanics of Materials
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