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22-Mec-B10 Finite Element Analysis: December 2017

Nivaar worked solution (AI-drafted; not reviewed by a licensed engineer)

  1. Question 1 Geometric isotropy of polynomial interpolations
  2. Question 2 Seven-node transition element and mesh compatibility
  3. Question 3 Gauss quadrature over a mapped rectangular domain
  4. Question 4 Collocation solution for an axially loaded cantilevered bar
  5. Question 5 One-dimensional finite element model of a composite wall
  6. Question 6 Isoparametric quadrilateral — Jacobian matrix and mapping validity
  7. Question 7 The 20-node quadratic Serendipity prism

Start with Question 1 →

Paper format. National Examinations, December 2017 — 16-Mec-B10 Finite Element Analysis. Three hours, OPEN BOOK, any non-communicating calculator permitted. Seven questions of 20 marks each; five constitute a complete paper and only the first five appearing in the answer book are marked. Every question is to be solved within the context of the finite element method, and several parts call for an essay-style answer in which clarity and organisation carry marks. All seven questions are worked below.

Reference texts. D. L. Logan, A First Course in the Finite Element Method, 6th ed.; J. N. Reddy, An Introduction to the Finite Element Method, 4th ed.; R. D. Cook, D. S. Malkus, M. E. Plesha and R. J. Witt, Concepts and Applications of Finite Element Analysis, 4th ed.; K.-J. Bathe, Finite Element Procedures, 2nd ed.; O. C. Zienkiewicz, R. L. Taylor and J. Z. Zhu, The Finite Element Method: Its Basis and Fundamentals, 7th ed.; D. V. Hutton, Fundamentals of Finite Element Analysis.

Check: the printed page headers on this December 2017 paper read “National Examinations May 2017” on pages 2–6 — a re-use of the May template by the setter. The cover page carries both “National Exams December 2017” and the May line. The paper is solved as the December 2017 sitting.