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

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter11: Columns

Section: Chapter Questions

Problem 11.3.23P: The truss ABC shown in the figure supports a vertical load W at joint B. Each member is a slender...

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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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