Syllabus of University of Pune M.E.Civil (Structures) Semester I-FINITE ELEMENT METHOD

501409: FINITE ELEMENT METHOD
Teaching Scheme: Examination Scheme:
Lectures: 3Hrs/Week Theory Paper:100 Marks
Duration :4Hrs.
Section I
Unit 1:
Review of one dimensioned elements of skeletal structures Principle of minimum potential energy, Use of polynomial displacement function. Variational approach for formulation of element stiffness matrix for truss & beam elements.

Unit 2:
Two dimensional elements in plane stress / strain problems. CST, LST & Rectangular elements, Standard formulation procedure using variational principle. Use of polynomial displacement functions, Pascal triangle. Requirements for convergence

Unit 3:
Shape functions in Cartesian & natural coordinate systems, shape functions for one dimensional element such as truss & beam. Shape function for two dimensioned elements. Concept of isoparametric elements, Jacobion Matrix, Formulation procedure for 2 D quadrilateral isoparametric element in plane elasticity problem.

Section II
Unit 4:
Three dimensional elements such as Tetrahydron, Hexahydron, shape functions, stress strain relations, isoparametric elements. Axisymmetric elements in axisymmetric problems, stress strain relations, triangular and Quadrilateral elements.

Unit 5:
Thin Plate bending elements, various Triangular and Rectangular elements, ACM (Adini, Clough, Melosh) and BFS (Bogner, Fox, Schimdt) elements, Conforming & nonconforming elements, Concept of four noded & eight nodded isoparametric elements, Mindlin’s hypothesis for plate bending element.

Unit 6:
Flat & curved shell element, elements for cylindried shells, curved solid element, Ahmad’s degenerated solid element, Pawsey’s eight nodded shell element.

Reference Books
1. J.N. Reddy – An Introduction to the finite element method – Tata McGraw Hill
Publishing Co. Ltd
2. C.S. Krishnamoorthy – Finite Element Analysis – Theory & Programming - Tata
McGraw Hill Publishing Co. Ltd
3. Zienkiewicz & Taylor - The Finite Element Method 4th Edition – Vol – I & II –
McGraw Hill International Edition
4. G.R. Buchanan – Finite Element Analysis Schaum’s outlines - Tata McGraw Hill
Publishing Co. Ltd
5. S.S. Bhavikatti - Finite Element Analysis – New Age International Publishers,
Delhi
6. S.S. Rao - The Finite Element Method in Engineering 4th Edition - ELSEVIER
Publication
7. Robert D. Cook, D.S. Malkus, M.E. Plesha – Concepts & Applications of Finite
Element Analysis – John Wiley & Sons.
8. Segerlind L.J. – Applied Finite Element Analysis - John Wiley & Sons.

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