Exercises for Matrix Methods for Mechanical Systems 2.5 2001/08/09 2002/08/19 Doug Daniels rainking@alumni.rice.edu Steven Cox cox@rice.edu Doug Daniels rainking@alumni.rice.edu Steven Cox cox@rice.edu exercises Exercises for Chapter 2. With regard to the uniaxial truss figure, (i) Derive the A and K matrices resulting from the removal of the fourth spring, (ii) Compute the inverse, by hand via Gauss-Jordan, of the resulting A K A with k 1 k 2 k 3 k (iii) Use the result of (ii) to find the displacement corresponding to the load f 0 0 F . 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 f. 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.

A copy of the before-after figure from the general planar module.