Problem 5. The figure shows an aluminum beam OB with rectangular cross section, pinned to the ground at one end, and supported by a round steel rod with hooks formed on the ends. A load is applied as shown. Use Castigliano's theorem to determine the vertical deflection at point B. F = 4400 N

Problem 5. The figure shows an aluminum beam OB with rectangular cross section, pinned to the ground at one end, and supported by a round steel rod with hooks formed on the ends. A load is applied as shown. Use Castigliano's theorem to determine the vertical deflection at point B. F = 4400 N

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 9.5.3P: Copper beam AB has circular cross section with a radius of 0.25 in. and length L = 3 ft. The beam is...

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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.

Question

Problem 5. The figure shows an aluminum beam OB with rectangular cross section, pinned to the
ground at one end, and supported by a round steel rod with hooks formed on the ends. A load is applied
as shown. Use Castigliano's theorem to determine the vertical deflection at point B.
F = 4400 N
50
·—A --·
150-
6 dia..
12 thick
300
-DO
C
220
- 200
All dimensions in mm.
F
B

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