Given assemblage of 5 Springs (Figure 1), with stiffness: k = 105 N/m, k2 = 2x105...

  

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Given assemblage of 5 Springs (Figure 1), with stiffness: k₁ = 105 N/m, k2 = 2x105 N/m, k3 = 3x105 N/m, k4 = 4x105 N/m, k5 = 5x105 N/m. These Springs are subjected to a load, P=1000 N at node 4. Establish the global stiffness matrix of the assemblage of springs (10 Points) Calculate the displacements of nodes 2, 3 and 4 (10 Points) Node 1 7 min min Node 1 Node 2 K₂ www www Node 3 Node 4 K5 www -U₂ Figure 1. Assemblage of springs for Question 1 m -U₁ Note: Assumption: The vertical bars with nodes 2, 3, and 4 are rigid and massless and only move horizontally. Given assemblage of 5 Springs (Figure 1), with stiffness: k₁ = 105 N/m, k2 = 2x105 N/m, k3 = 3x105 N/m, k4 = 4x105 N/m, k5 = 5x105 N/m. These Springs are subjected to a load, P=1000 N at node 4. Establish the global stiffness matrix of the assemblage of springs (10 Points) Calculate the displacements of nodes 2, 3 and 4 (10 Points) Node 1 7 min min Node 1 Node 2 K₂ www www Node 3 Node 4 K5 www -U₂ Figure 1. Assemblage of springs for Question 1 m -U₁ Note: Assumption: The vertical bars with nodes 2, 3, and 4 are rigid and massless and only move horizontally.