TABLE OF CONTENTS | 1.1 | Review existing literature and write a brief history of the beginning of the finite element method as applied to engineering problems. |
| 1.2 | Read Courant's paper [*] and solve the hollow square box torsion problem (Fig. A1) with varying mesh size in appropriate direction to perform a convergence study. |
| 1.3 | Review Argyris, [ ] and derive an expression for the stiffness matrix of the rectangular element. |
| 1.4 | Examine the plane stress triangular element developed by Turner et. al. [ ] and provide a concise summary of its derivation. |
[*]Courant, R., "Methods for the Solution of Problems of Equilibrium and Vibrations," Transactions of the American Mathematical Society, June 1942, pp. 1 23.
[ ]Argyris, J. H., "Energy Theorems and Structural Analysis Part 1," Aircraft Engineering, Vols. 26, 27, Oct. 1954, May 1955.
[ ]Turner, M. J., Clough, R. W., Martin, H. C., and Topp, L. T., "Stiffness and Deflection Analysis of Complex Structures," Journal of Aeronautical Sciences, Vol. 25, No. 9, 1956, pp. 805 823.
| 2.1 | Extend the line element problem of Example 2.1 (see p. 19) in three dimensions. |
| 2.2 | Write an essay summarizing the analysis techniques associated with the finite element procedure for discretizing a physical problem. |
| 3.1 | Derive the material stress strain matrix for the plane strain isotropic case by setting the appropriate strain components to zero in the three-dimensional strain stress (compliance) matrix. |
| 4.1 | A10 10 square plate... |
