Problem 1Calculate the displacements at nodes 1 and 2, the reactions at nodes 1 and 3, as well as theaxial 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 ratiov=0.3.VP₂R21Problem 2Remove the loads in Problem 1 and calculate the natural frequencies of the truss for a massdensity p= 7800 kg/m³ using analytical calculation.

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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.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

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Concept explainers

Thermal Properties of Materials

In mechanical engineering, the thermal property is represented as the physical quantity that is relevant to the application of heat. The thermal properties are evaluated by variations in any specific material due to low heat or high heat. The quantities that influence the thermal property of the materials are mass, density, temperature, and many others.

Question

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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