Consider the following showing the three-bar assembly. Nodes 1 and 4 are fixed.At node 2, a horizontal force of 50 kN is exerted. The modulus of elasticity of elements 1and 2 is 200 GPa and that of element 3 is 110 GPa. Similarly, the area of cross section ofelements 1 and 2 is 0.001 m2 and that of element 3 is 0.002 m2.Determine the reactions at nodes 1 and 4.50 kN|23341 m1 m1 mReaction at node 1 = 30 kN. Rection at node 4 = 20 kNReaction at node 1 25 kN. Rection at node 4 = 25 kNа)b)c)d)%3DReaction at node 1 = 42.5 kN. Rection at node 4 = 7.5 kNReaction at node 1 = 32.81 kN. Rection at node 4 = 17.19 kN

as given in the question both end is fixed so that the net extinction on the bar assembly is equal…

Consider the following showing the three-bar assembly. Nodes 1 and 4 are fixed. At node 2, a horizontal force of 50 kN is exerted. The modulus of elasticity of elements 1 and 2 is 200 GPa and that of element 3 is 110 GPa. Similarly, the area of cross section of elements 1 and 2 is 0.001 m? and that of element 3 is 0.002 m². Determine the reactions at nodes 1 and 4.

Consider the following showing the three-bar assembly. Nodes 1 and 4 are fixed. At node 2, a horizontal force of 50 kN is exerted. The modulus of elasticity of elements 1 and 2 is 200 GPa and that of element 3 is 110 GPa. Similarly, the area of cross section of elements 1 and 2 is 0.001 m? and that of element 3 is 0.002 m². Determine the reactions at nodes 1 and 4.

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

Consider the following showing the three-bar assembly. Nodes 1 and 4 are fixed.
At node 2, a horizontal force of 50 kN is exerted. The modulus of elasticity of elements 1
and 2 is 200 GPa and that of element 3 is 110 GPa. Similarly, the area of cross section of
elements 1 and 2 is 0.001 m2 and that of element 3 is 0.002 m2.
Determine the reactions at nodes 1 and 4.
50 kN
|2
3
3
4
1 m
1 m
1 m
Reaction at node 1 = 30 kN. Rection at node 4 = 20 kN
Reaction at node 1 25 kN. Rection at node 4 = 25 kN
а)
b)
c)
d)
%3D
Reaction at node 1 = 42.5 kN. Rection at node 4 = 7.5 kN
Reaction at node 1 = 32.81 kN. Rection at node 4 = 17.19 kN

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