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Spring Assemblies in Series/Parallel: Two Springs in Series
Based on Figure 1, we get:
where:
In matrix form, the above can be re-written as:
Example
Calculate k1, δ2, and f3.
Solution
Based on Figure 2, we have:
and
The system stiffness matrix is:
Therefore, the problem becomes:
Which in turn results in the 3×3 system of equations:
Finally, we get:
Selected Topics
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