A structure as shown in the figure is hinged at A and rests on a roller at C. In using Castigliano's second theorem, determine the horizontal displacement of the C end. The support is made of 40 mm x 40 mm square steel bars. Use E = 240 GPa and only consider the effects of bending.

A structure as shown in the figure is hinged at A and rests on a roller at C. In using Castigliano's second theorem, determine the horizontal displacement of the C end. The support is made of 40 mm x 40 mm square steel bars. Use E = 240 GPa and only consider the effects of bending.

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

System of Forces

A force is an external influence or agent that changes the state of a system. According to Newton's second law, the force applied to a body is proportional to the change in momentum of a body. Hence, whenever a force is applied to a body, its momentum changes. If the body is at rest, under the action of force, its state of rest changes to motion. In other words, the magnitude of the momentum of the body changes from zero to a measurable value. Similarly, if the body possesses some initial velocity, it has some associated momentum, the effect of force can cause the body to halt or come to rest, that is, the momentum reduces to zero.

Question

A structure as shown in the figure is hinged at A and rests on a roller at C. In using Castigliano's second
theorem, determine the horizontal displacement of the C end. The support is made of 40 mm x 40
mm square steel bars. Use E = 240 GPa and only consider the effects of bending.
A
1000 mm
B
90⁰
2.5 KN
750 mm
Hom

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given data

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theory of castigliano's theorem

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determination of reactions at supports

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determination of strain energy of frame

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determination of deflection of end C using castigliano's theorem

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