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.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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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.
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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