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22-Mec-B10 Finite Element Analysis: Undated paper

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

  1. Question 1 Gauss quadrature of a field variable over a rectangular domain
  2. Question 2 Bubnov–Galerkin cubic solution for an axially loaded cantilevered bar
  3. Question 3 One-dimensional finite element heat conduction in a rod
  4. Question 4 Shape functions of a seven-node transition element, and a Serendipity mesh interface
  5. Question 5 Stresses in a constant-strain triangular plane-strain element
  6. Question 6 Isoparametric mapping and the Jacobian of four-node quadrilaterals
  7. Question 7 Shape functions of the 20-noded quadratic Serendipity prism

Start with Question 1 →

Paper format. National Examinations (May 2019 sitting; every interior page is headed “National Examinations May 2019, 16-Mec-B10. Finite Element Analysis”). Open book, any non-communicating calculator, 3 hours, seven questions of 20 marks each; five constitute a complete paper. All seven questions are solved here. Questions are to be answered “within the context of the finite element method”.

Reference texts. Logan, A First Course in the Finite Element Method, 6th ed.; Reddy, An Introduction to the Finite Element Method, 4th ed.; Cook, Malkus, Plesha & Witt, Concepts and Applications of Finite Element Analysis, 4th ed.; Bathe, Finite Element Procedures, 2nd ed.; Zienkiewicz, Taylor & Zhu, The Finite Element Method: Its Basis and Fundamentals, 7th ed.; Hutton, Fundamentals of Finite Element Analysis.