2.4: Chapter 2 Exercises
- Page ID
- 21808
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With regard to the unixial truss figure,
- Derive the \(A\) and \(K\) matrices resulting from the removal of the fourth spring,
- Compute the inverse, by hand via Gauss-Jordan, of the resulting \(A^{T} KA\) with \(k_{1} = k_{2} = k_{3} = k\)
- Use the result of (ii) to find the displacement corresponding to the load \(\textbf{f} = (0, 0, F)^{T}\)
Generalize example 3, the general planar truss, to the case of 16 nodes connected by 42 fibers. Introduce one stiff (say \(k=100\)) fiber and show how to detect it by 'properly' choosing \(\textbf{f}\) the before-after plot in the general planar module, from which you conclude the presence of a stiff fiber.
