3. For the two-bar structure shown below, determine the global stiffness matrix K and the force vector F. Then solve the resulting set of equations to determine the vector of nodal point displacements. Finally, use the element stiffness matrices to determine the element nodal forces for each element. F₂ = 4500 N 1 2 2 = -6000 N 3 Take L₁ = 0.75 m, L2 = 0.50 m, A₁ = 300 cm², A2 = 100 cm², E₁ = E2 = 80 GPa.

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
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3. For the two-bar structure shown below, determine the global stiffness matrix K and
the force vector F. Then solve the resulting set of equations to determine the vector of
nodal point displacements. Finally, use the element stiffness matrices to determine
the element nodal forces for each element.
1
1
=
F₂ = 4500 N
2
2
3
F₂ -6000 N
3
Take L₁ = 0.75 m, L2 = 0.50 m, A₁ = 300 cm², A₂ = 100 cm², E₁ = E2 = 80 GPa.
Transcribed Image Text:3. For the two-bar structure shown below, determine the global stiffness matrix K and the force vector F. Then solve the resulting set of equations to determine the vector of nodal point displacements. Finally, use the element stiffness matrices to determine the element nodal forces for each element. 1 1 = F₂ = 4500 N 2 2 3 F₂ -6000 N 3 Take L₁ = 0.75 m, L2 = 0.50 m, A₁ = 300 cm², A₂ = 100 cm², E₁ = E2 = 80 GPa.
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