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22-Mec-B10 Finite Element Analysis: May 2016

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

  1. Question 1 Collocation solution of a bar under a linearly varying axial load
  2. Question 2 Gauss quadrature over a rectangular domain
  3. Question 3 Rigid plane frame — nodal displacements, member forces and reactions
  4. Question 4 Shape functions of a seven-node transition element
  5. Question 5 Geometric isotropy of polynomial field representations
  6. Question 6 Thermal stresses in a three-bar assemblage
  7. Question 7 Eight-node hexahedron — shape functions, Jacobian and strains

Start with Question 1 →

Paper format. National Examinations, May 2016 — 07-Mec-B10 Finite Element Analysis. Three hours, open book (any texts, references or notes; any non-communicating calculator). Seven equally weighted questions of 20 marks; candidates attempt any five, and every question is to be solved within the context of the finite element method. All seven are worked here, because the set is a study resource rather than a sitting.

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.