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. Use the element stiffness matrix given below: 45° C? Cs -C? -CS S? -Cs -S? L-C? -CS C² -CS -S? AE CS k = CS CS

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. Use the element stiffness matrix given below: 45° C? Cs -C? -CS S? -Cs -S? L-C? -CS C² -CS -S? AE CS k = CS CS

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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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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