The beam shown below is supported by a pin at A and a roller at B and is a subjected to a 40kN load at L/2. Determine the deflection at C and the slope at A using: 1. The double integration method 2. The moment-area theorem 3. The conjugate beam method 4. Virtual work 5. Castigliano's theorem A L/2 40 KN L • C B

The beam shown below is supported by a pin at A and a roller at B and is a subjected to a 40kN load at L/2. Determine the deflection at C and the slope at A using: 1. The double integration method 2. The moment-area theorem 3. The conjugate beam method 4. Virtual work 5. Castigliano's theorem A L/2 40 KN L • C 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 beam shown below is supported by a pin at A and a roller at B and is a subjected to a 40kN load at
L/2. Determine the deflection at C and the slope at A using:
1. The double integration method
2. The moment-area theorem
3. The conjugate beam method
4. Virtual work
5. Castigliano's theorem
A
L/2
40 kN
Į
• C
B

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