Calculate the displacements at nodes 1 and 2, the reactions at nodes 1 and 3, as well as the axial strains and stresses in the three bars of the planar truss shown below. Use analytical (hand) finite element formulation. Known are P₁ - 500 N, P-1000 N. /-0.05 m, the constant cross- sectional area of all bars A = 0.0001 m², Young's modulus E= 2 x 10¹¹ N/m², and Poisson's ration v=0.3.
Calculate the displacements at nodes 1 and 2, the reactions at nodes 1 and 3, as well as the axial strains and stresses in the three bars of the planar truss shown below. Use analytical (hand) finite element formulation. Known are P₁ - 500 N, P-1000 N. /-0.05 m, the constant cross- sectional area of all bars A = 0.0001 m², Young's modulus E= 2 x 10¹¹ N/m², and Poisson's ration v=0.3.
Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter1: Tension, Compression, And Shear
Section: Chapter Questions
Problem 1.6.5P: An aluminum bar has length L = 6 ft and diameter d = 1.375 in. The stress-strain curse for the...
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![Problem 1
Calculate the displacements at nodes 1 and 2, the reactions at nodes 1 and 3, as well as the
axial strains and stresses in the three bars of the planar truss shown below. Use analytical (hand)
finite element formulation. Known are P₁ = 500 N, P₂= 1000 N. /= 0.05 m, the constant cross-
sectional area of all bars A = 0.0001 m², Young's modulus E= 2 x 10¹¹ N/m², and Poisson's ratio
v=0.3.
V
P₂
R
21
Problem 2
Remove the loads in Problem 1 and calculate the natural frequencies of the truss for a mass
density p= 7800 kg/m³ using analytical calculation.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5b16b9bb-7af5-4cc0-b9e8-1ede0c36c592%2F873400aa-273d-4ef4-9a0b-7e55a8fce440%2F8a6apec_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Problem 1
Calculate the displacements at nodes 1 and 2, the reactions at nodes 1 and 3, as well as the
axial strains and stresses in the three bars of the planar truss shown below. Use analytical (hand)
finite element formulation. Known are P₁ = 500 N, P₂= 1000 N. /= 0.05 m, the constant cross-
sectional area of all bars A = 0.0001 m², Young's modulus E= 2 x 10¹¹ N/m², and Poisson's ratio
v=0.3.
V
P₂
R
21
Problem 2
Remove the loads in Problem 1 and calculate the natural frequencies of the truss for a mass
density p= 7800 kg/m³ using analytical calculation.
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