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
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
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
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s 1c
![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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7419f2cc-aeda-4dec-9d87-b880641fc307%2Ffdbc0343-342c-403c-99dc-94cb87383f9a%2Fr2q8a8k_processed.png&w=3840&q=75)
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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