Paper format. National Examinations, December 2016 — 07-Mec-B10, Finite Element Analysis. Three hours, open book, any non-communicating calculator permitted. FIVE (5) questions constitute a complete paper and the first five appearing in the answer book are the ones marked; each question carries 20 marks and every question must be solved within the context of the finite element method. Some questions require an essay-format answer, where clarity and organization are themselves marked. All seven questions are worked below so the set functions as a complete study resource.
Reference texts (22-Mec-B10 Finite Element Analysis).
- D. L. Logan, A First Course in the Finite Element Method, 6th ed. — bar, beam, frame, plane and solid elements; isoparametric formulation; numerical integration.
- J. N. Reddy, An Introduction to the Finite Element Method, 4th ed. — weighted-residual and variational foundations, weak forms, Timoshenko beam elements, locking.
- R. D. Cook, D. S. Malkus, M. E. Plesha & R. J. Witt, Concepts and Applications of Finite Element Analysis, 4th ed. — element quality, Jacobians, transition and mixed elements.
- K.-J. Bathe, Finite Element Procedures, 2nd ed. — convergence theory, integration rules, locking and mixed formulations.
- O. C. Zienkiewicz, R. L. Taylor & J. Z. Zhu, The Finite Element Method: Its Basis and Fundamentals, 7th ed. — shape-function construction, mapping, adaptivity.
- D. V. Hutton, Fundamentals of Finite Element Analysis — heat-conduction elements with convection boundaries.
