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22-Mec-B10 Finite Element Analysis: December 2014

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

  1. Question 1 Spring assemblage by the principle of minimum potential energy
  2. Question 2 One-dimensional heat conduction in a rod with an internal source
  3. Question 3 Shape functions of a seven-node transition element
  4. Question 4 Basis functions, shape functions and geometric isotropy
  5. Question 5 Plane-strain constant-strain triangle — element and principal stresses
  6. Question 6 Eight-node hexahedron — shape functions, Jacobian and strains
  7. Question 7 Isoparametric quadrilateral — Jacobian and the validity of a mapping

Start with Question 1 →

Paper format. National Examinations, December 2014 — 07-Mec-B10 Finite Element Analysis. Three hours, open book (any texts, references or notes; any non-communicating calculator). Seven questions of equal value (20 marks each); candidates attempt any five, and every question is to be solved within the context of the finite element method. All seven are worked here.

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.); Zienkiewicz, Taylor & Zhu, The Finite Element Method: Its Basis and Fundamentals (7th ed.); Bathe, Finite Element Procedures (2nd ed.); Hutton, Fundamentals of Finite Element Analysis.