Hello, I found this question online and want to know how exactly one will tackle this question. Please could you show full working out and as the hint implies, use the direct stiffness method for this question. Many thanks Figure 1 shows a spring assemblage of three springs with spring constant of k₁ = 10,000k₂ = 20,000 and k3 = 30,000respectively.For this system of springs:(i)(ii)F = 500 Nwwwwwwwww.k₁ 2 k₂3Figure 1Obtain the global stiffness matrix [K] of the assemblage by superimposing thestiffness matrices of the individual springs.k3 4If nodes 1 and 4 are fixed and a force F = 500 N acts on node 2 along the xdirection, determine the nodal displacements of nodes 2 and 3.(iii) Determine the reaction forces at nodes 1 and 4.➤ (Hint: Use the direct stiffness method for this problems)ZIE

There are 4 nodes and with 3 elements

Answered: Figure 1 shows a spring assemblage of…

Elements Of Electromagnetics

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Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

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Hello, I found this question online and want to know how exactly one will tackle this question. Please could you show full working out and as the hint implies, use the direct stiffness method for this question. Many thanks

Figure 1 shows a spring assemblage of three springs with spring constant of k₁ = 10,000
k₂ = 20,000 and k3 = 30,000
respectively.
For this system of springs:
(i)
(ii)
F = 500 N
wwwwwwwww.
k₁ 2 k₂
3
Figure 1
Obtain the global stiffness matrix [K] of the assemblage by superimposing the
stiffness matrices of the individual springs.
k3 4
If nodes 1 and 4 are fixed and a force F = 500 N acts on node 2 along the x
direction, determine the nodal displacements of nodes 2 and 3.
(iii) Determine the reaction forces at nodes 1 and 4.
➤ (Hint: Use the direct stiffness method for this problems)
ZIE

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