A spring system is shown here: ¹ k₁ Ę k3 mm 3 k₂ www. w 2 22 Part 1: For this specific system, develop the: • a. Global stiffness matrix • b. Boundary condition vector • c. Load vector • d. Reduced system of equations • e. Reaction force equations (i.e., the equations eliminated by the Part 2: Given: k1 = 70 N/mm, k2 = 110 N/mm, k3 = 165 N/mm, F1 = 1 and nodes 1 and 3 are fixed; calculate the: a. Global stiffness matrix b. Displacements of nodes 2 and 4 c. Reaction forces at nodes 1 and 3
A spring system is shown here: ¹ k₁ Ę k3 mm 3 k₂ www. w 2 22 Part 1: For this specific system, develop the: • a. Global stiffness matrix • b. Boundary condition vector • c. Load vector • d. Reduced system of equations • e. Reaction force equations (i.e., the equations eliminated by the Part 2: Given: k1 = 70 N/mm, k2 = 110 N/mm, k3 = 165 N/mm, F1 = 1 and nodes 1 and 3 are fixed; calculate the: a. Global stiffness matrix b. Displacements of nodes 2 and 4 c. Reaction forces at nodes 1 and 3
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Transcribed Image Text:A spring system is shown here:
k₁
3
Ę
k3
2
K₂
www
ma
4
Ę₂
Part 1: For this specific system, develop the:
a. Global stiffness matrix
. b. Boundary condition vector
• c. Load vector
• d. Reduced system of equations
• e. Reaction force equations (i.e., the equations eliminated by the boundary conditions)
Part 2: Given: k1 = 70 N/mm, k2 = 110 N/mm, k3 = 165 N/mm, F1 = 150 N, F2 = 100 N,
and nodes 1 and 3 are fixed; calculate the:
a. Global stiffness matrix
b. Displacements of nodes 2 and 4
c. Reaction forces at nodes 1 and 3
d. Spring force in each of the springs
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