Mechanics of Materials (MindTap Course List)
9th Edition
ISBN: 9781337093347
Author: Barry J. Goodno, James M. Gere
Publisher: Cengage Learning
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Textbook Question
Chapter 5, Problem 5.8.1P
The shear stresses t in a rectangular beam arc given by Eq. (5-43):
in which Fis the shear force, / is the moment of inertia of the cross-sectional area, /lis the height of the beam, and i] is the distance from the neutral axis to the point where the shear stress is being determined (Fig. 5-32).
By integrating over the cross-sectional area, show that the resultant of the shear stresses is equal to the shear force V.
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3. Relation between load, shear and moment:
The free body diagram
wdx
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W (N/m)
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of segment of this beam
of length (dx) is shown
M+4M
but wdx is the summation of area between (x, and x2)
in figure (2).
V+av
..V, -V, = AV = (area) nad
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. dV =wdx
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. W =-
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(slope of shear diagram)
Where:
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Chapter 5 Solutions
Mechanics of Materials (MindTap Course List)
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