Consider the 1D FE problem of linear-elastic spring system shown in Fig Q1(c). Springs are capable of supporting axial loading only and their stiffness constants are KA = 90 N/mm and ke kc 100 N/mm. Node 1 and node 4 are attached to a fixed support and forces applied at node 2 and 3 are 75 N and 25 N respectively. Construct element stiffness matrix and global stiffness matrix for a given spring system. Determine displacements at node 2 and node 3, and forces at node 1 and node 4. 1 2 kB 3 www B F₁ Fig Q1(c): 1D spring problem

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Consider the 1D FE problem of linear-elastic spring system
shown in Fig Q1(c). Springs are capable of supporting axial
loading only and their stiffness constants are K₁ = 90 N/mm
and kB kc 100 N/mm. Node 1 and node 4 are attached to a
fixed support and forces applied at node 2 and 3 are 75 N and
25 N respectively.
Construct element stiffness matrix and global stiffness matrix
for a given spring system.
Determine displacements at node 2 and node 3, and forces at
node 1 and node 4.
F₂
KB
kc
3
2
F₁
B
Fig Q1(c): 1D spring problem
Transcribed Image Text:Consider the 1D FE problem of linear-elastic spring system shown in Fig Q1(c). Springs are capable of supporting axial loading only and their stiffness constants are K₁ = 90 N/mm and kB kc 100 N/mm. Node 1 and node 4 are attached to a fixed support and forces applied at node 2 and 3 are 75 N and 25 N respectively. Construct element stiffness matrix and global stiffness matrix for a given spring system. Determine displacements at node 2 and node 3, and forces at node 1 and node 4. F₂ KB kc 3 2 F₁ B Fig Q1(c): 1D spring problem
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