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Sathyabama Institute of Science and Technology M.E. - Structural Engineering SCIA5201 Finite Element Analysis Syllabus SATHYABAMA INSTITUTE OF SCIENCE AND TECHNOLOGY SCHOOL OF BUILDING AND ENVIRONMENT SCIA5201 FINITE ELEMENT ANALYSIS L T P Credits Total Marks 3 0 0 3 100 UNIT 1 INTRODUCTION 9 Hrs. Boundary Value Problems – Approximate Solutions – Variational and Weighed Residual Methods – Ritz and Galerkin Formulations – Concept of Piecewise Approximation and Finite Element – Displacement and Shape Functions –Weak Formulation – Minimum Potential Energy – Generation of Stiffness Matrix and Load Vector. UNIT 2 STRESS ANALYSIS 9 Hrs. Two Dimensional problems – Plane Stress, Plane Strain and Axisymmetric Problems – Triangular and Quadrilateral Elements –Natural Coordinates – Isoparametric Formulation - Numerical Integration – Plate Bending and Shell Elements –– Brick Elements –Elements for Fracture Analysis. UNIT 3 MESHING AND SOLUTION PROBLEMS 9 Hrs. Higher Order Elements – p and h Methods of Mesh Refinement – ill conditioned Elements – Discretisation Errors – Auto and Adaptive Mesh Generation Techniques -Error Evaluation. UNIT 4 NONLINEAR, VIBRATION AND THERMAL PROBLEMS 9 Hrs. Material and Geometric Nonlinearity – Methods of Treatment – Consistent System Matrices – Dynamic Condensation – Eigen Value Extraction - thermal analysis. UNIT 5 DYNAMIC ANALYSIS AND SOFTWARE APPLICATION 9 Hrs. Dynamic equations – Consistent and lumped mass matrices - 1-D bar element - Formulation of element stiffness, mass and force matrices - Example problems. Natural frequencies - 1-D bar element - Formulation of element stiffness, mass matrices. Modeling and analysis using recent softwares. Max. 45 Hrs. TEXT / REFERENCE BOOKS 1. Bhavikatti S.S., “Finite Element Analysis”, New Age Publishers, 2007. 2. Krishnamoorthy C.S., “Finite Element Analysis: Theory and Programming”, Tata McGraw-Hill, 1995. 3. David Hutton, “Fundamentals of Finite Element Analysis”, Tata McGraw Hill Publishing Company Limited, New Delhi, 2005. 4. Bathe, K.J., “Finite Element Procedures in Engineering Analysis”, Prentice Hall Inc., 1996. 5. Zienkiewicz, O.C. and Taylor, R.L., “The Finite Element Method”, McGraw Hill, 1987. 6. Chandrupatla, R.T. and Belegundu, A.D., “Introduction to Finite Elements in Engineering”, Prentice Hall of India, 1997.. 7. Moaveni, S., “Finite Element Analysis Theory and Application with ANSYS”, Prentice Hall Inc., 1999. END SEMESTER EXAMINATION QUESTION PAPER PATTERN Max. Marks: 100 Exam Duration: 3 Hrs. PART A: 5 Questions of 6 Marks each – No choice 30 Marks PART B: 2 Questions from each unit of internal choice, each carrying 14 Marks 70 Marks |
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