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 otherand to the walls by pin joints. The members make equal angles with each other, and Element 2 isvertical. The members are identical to each other withproperties: Young's modulus E = 206 GPa, cross-sectionalarea A = 1x10–4 m² , and length L = 1 m. An inclinedforce F = 20,000 N is applied at Node 1. Solve for thedisplacements at Node 1.%3D2FUse the element stiffness matrix given below:45°C²CS-C2-CSS?AE CSk =L-C? -CS C²-CS -S?CS-CS -S²CS

Answered: Image /qna-images/answer/f1cb7276-5d0a-40b9-acab-43b6b8fbfa2f.jpg

Answered: displacements at Node 1.

Engineering

Civil Engineering

displacements at Node 1.

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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Question

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

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