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CAAM 335 Chapter 2 Exercises

Module by: Doug Daniels, Steven J. Cox. E-mail the authors

Summary: Exercises for Chapter 2.

Exercise 1

With regard to the uniaxial truss figure,

  • (i) Derive the AA and KK matrices resulting from the removal of the fourth spring,
  • (ii) Compute the inverse, by hand via Gauss-Jordan, of the resulting AT⁢K⁢A A K A with k 1 = k 2 = k 3 =k k 1 k 2 k 3 k
  • (iii) Use the result of (ii) to find the displacement corresponding to the load f=00FT f 0 0 F .

Exercise 2

Generalize example 3, the general planar truss, to the case of 16 nodes connected by 42 fibers. Introduce one stiff (say k=100 k 100 ) fiber and show how to detect it by 'properly' choosing ff. Submit your well-documented M-file as well as the plots, similar to the before-after plot in the general planar module, from which you conclude the presence of a stiff fiber.

Figure 1: A copy of the before-after figure from the general planar module.
Figure 1 (beforeafter.png)

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