Figure A1 below represents a system of three linear springs attached to a wall. The system is subjected to three uniaxial forces at nodes 1, 2 and 3 respectively kı F₁ [K] = Figure Al (a) Prove the stiffness of the system is (show your workings) [k₁+k₂ -k₂ 0 -k₂ k₂ + k3 -K3 k F₂ k3 0 k3 3 F₁

Figure A1 below represents a system of three linear springs attached to a wall. The system is subjected to three uniaxial forces at nodes 1, 2 and 3 respectively kı F₁ [K] = Figure Al (a) Prove the stiffness of the system is (show your workings) [k₁+k₂ -k₂ 0 -k₂ k₂ + k3 -K3 k F₂ k3 0 k3 3 F₁

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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Question

Figure A1 below represents a system of three linear springs attached to a wall. The
system is subjected to three uniaxial forces at nodes 1, 2 and 3 respectively
|
kı
k₂
[K] =
F₁
k3
Figure Al
(a) Prove the stiffness of the system is (show your workings)
[k₁ + k₂
-k₂
0
F₂
-K₂ 0
k₂ + K3-K3
-k3
K3
3 F3

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