Answered: 15. Considering horizontal reaction at…

15. Considering horizontal reaction at B as redundant, what is the horizontal displacement at B for the primary structure of the given frame in kN m^3/EI? El is constant. Use Force Method

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

15. Considering horizontal reaction at B as
redundant, what is the horizontal displacement at B for
the primary structure of the given frame in kN m^3/El?
El is constant. Use Force Method
450 N
5.196 m
30
450 N
5.196 m

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Step 1: Given data

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Step 2: Reactions of P force truss

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Step 3: Calculation of P forces

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Step 4: Calculation of K forces :

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Step 5: Internal forces

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Step 6: Horizontal Deflection at B

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Step 7: K force analysis for horizontal deflection at B

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Step 8: Horizontal Deflection

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