Use Castigliano's theorem to determine the magnitude of deflection at midspan for the solid steel shaft shown in the figure, where a = 3 in, b = 7 in, da = 1.125 in, db=1.875 in, and w=160 lbf/in. da 1 db W b The magnitude of deflection at the mid-span of the beam is da a → in.

Use Castigliano's theorem to determine the magnitude of deflection at midspan for the solid steel shaft shown in the figure, where a = 3 in, b = 7 in, da = 1.125 in, db=1.875 in, and w=160 lbf/in. da 1 db W b The magnitude of deflection at the mid-span of the beam is da a → in.

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter9: Deflections Of Beams

Section: Chapter Questions

Problem 9.6.5P: -5 Calen1ate the deflections S 3a nd

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Concept explainers

Slope and Deflection

The slope in a deflected beam is described as an angle in radians made by the tangent of the section with the original axis of the beam. The deflection at any point on the axis of the beam is defined as the lateral displacement of the point before and after loading.

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Use Castigliano's theorem to determine the magnitude of deflection at midspan for the solid steel shaft shown in the figure, where a =
3 in, b = 7 in, da = 1.125 in, db = 1.875 in, and w=160 lbf/in.
da
k
db
W
b
The magnitude of deflection at the mid-span of the beam is
da
in.

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