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displacements at Node 1.

displacements at Node 1.

Structural Analysis
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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Please answer this question by showing every step of the process and do highligh the answer at the end for me please.

Please solve it in a way so that I can understand every step you did. 

Thanks in advnace.!

The plane truss shown in the figure below consists of three members connected to each other and to the walls by pin joints. The members make equal angles with each other, and Element 2 is vertical. The members are identical to each other with properties: Young's modulus E = 206 GPa, cross-sectional area A = 1x10–4 m² , and length L = 1 m. An inclined force F = 20,000 N is applied at Node 1. Solve for the displacements at Node 1. %3D 2 F Use the element stiffness matrix given below: 45° C² CS -C2 -CS S? AE CS k = L-C? -CS C² -CS -S? CS -CS -S² CS
Transcribed Image Text:The plane truss shown in the figure below consists of three members connected to each other and to the walls by pin joints. The members make equal angles with each other, and Element 2 is vertical. The members are identical to each other with properties: Young's modulus E = 206 GPa, cross-sectional area A = 1x10–4 m² , and length L = 1 m. An inclined force F = 20,000 N is applied at Node 1. Solve for the displacements at Node 1. %3D 2 F Use the element stiffness matrix given below: 45° C² CS -C2 -CS S? AE CS k = L-C? -CS C² -CS -S? CS -CS -S² CS
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