The beams described in the problems for Section 9.9 have constant flexural rigidity El. A simple beam AB of length L is loaded at the lefthand end by a couple of moment Mo (see figure). Determine the angle of rotation 6, at support A. (Obtain the solution by determining the strain energy of the beam and then using Castigliano's theorem.) Mo B

The beams described in the problems for Section 9.9 have constant flexural rigidity El. A simple beam AB of length L is loaded at the lefthand end by a couple of moment Mo (see figure). Determine the angle of rotation 6, at support A. (Obtain the solution by determining the strain energy of the beam and then using Castigliano's theorem.) Mo B

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

Beams

In structural engineering, a beam is a component made of a variety of materials (including steel alloys, and wood) that can resist loads applied laterally to the beam axis. Members, elements, rafters, shafts, and purlins are all terms used to describe beams.

Question

The beams described in the problems for Section 9.9 have constant flexural rigidity El.
A simple beam AB of length L is loaded at the lefthand end by a couple of moment M, (see
figure).
Determine the angle of rotation 6, at support A. (Obtain the solution by determining the strain
energy of the beam and then using Castigliano's theorem.)
Mo
B
L
PROB. 9.9-1
Step-by-step solution
Step 1 of 5 A
Length of the simple beam AB = L
Couple of moment at A,= M,
Angle of rotation at A= 0,

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