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Question

What is the equivalent spring stiffness for the system of springs shown in the figure given below?

A
43 kN/m
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B
50 kN/m
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C
58 kN/m
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D
64 kN/m
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Solution

The correct option is C 58 kN/m
Spring of 10 kN/m stiffness and 40 kN/m stiffness are in series. They will have equivalent stiffness of 10×4010+40=8 kN/m.

Now 20 kN/m, 8 kN/m and 30 kN/m stiffness springs will be in parallel so the equivalent spring stiffness will be 20 + 8 + 30 = 58 kN/m

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