ML3312 FINITE ELEMENT ANALYSIS ML3312 FINITE ELEMENT ANALYSIS SYLLABUS | ANNA UNIVERSITY BE MATERIALS SCIENCE AND ENGINEERING 6TH SEMESTER SYLLABUS REGULATION 2008 2011 2012-2013 BELOW IS THE ANNA UNIVERSITY SIXTH SEMESTER B.E MATERIALS SCIENCE AND ENGINEERING DEPARTMENT SYLLABUS, TEXTBOOKS, REFERENCE BOOKS,EXAM PORTIONS,QUESTION BANK,PREVIOUS YEAR QUESTION PAPERS,MODEL QUESTION PAPERS, CLASS NOTES, IMPORTANT 2 MARKS, 8 MARKS, 16 MARKS TOPICS. IT IS APPLICABLE FOR ALL STUDENTS ADMITTED IN THE YEAR 2011 2012-2013 (ANNA UNIVERSITY CHENNAI,TRICHY,MADURAI, TIRUNELVELI,COIMBATORE), 2008 REGULATION OF ANNA UNIVERSITY CHENNAI AND STUDENTS ADMITTED IN ANNA UNIVERSITY CHENNAI DURING 2009
ML3312 FINITE ELEMENT ANALYSIS L T P C
3 1 0 4
OBJECTIVES
To introduce the concepts of Mathematical Modeling of Engineering Problems.
To appreciate the use of FEM to a range of Engineering Problems.
UNIT I INTRODUCTION 9
Historical Background – Mathematical Modeling of field problems in Engineering –
Governing Equations – Discrete and continuous models – Boundary, Initial and Eigen
Value problems – Weighted Residual Methods – Variational Formulation of Boundary
Value Problems – Ritz Technique – Basic concepts of the Finite Element Method.
UNIT II ONE-DIMENSIONAL PROBLEMS 9
One Dimensional Second Order Equations – Discretization – Element types- Linear and
Higher order Elements – Derivation of Shape functions and Stiffness matrices and force
vectors. Assembly of Matrices solution of problems from solid mechanics and heat
transfer. Fourth Order Beam Equation – Transverse deflections and Natural frequencies
of beams.
UNIT III TWO DIMENSIONAL SCALAR VARIABLE PROBLEMS 9
Second Order 2D Equations involving Scalar Variable Functions – Variational
formulation – Finite Element formulation – Triangular elements – Shape functions and
element matrices and vectors. Application to Field Problems - Thermal problems –
Torsion of Non circular shafts – Quadrilateral elements – Higher Order Elements.
UNIT IV TWO DIMENSIONAL VECTOR VARIABLE PROBLEMS 9
Equations of elasticity – Plane stress, plane strain and axisymmetric problems – Body
forces and temperature effects – Stress calculations - Plate and shell elements.
UNIT V ISOPARAMETRIC FORMULATION AND MISCELLANEOUS TOPICS 9
Natural co-ordinate systems – Isoparametric elements – Shape functions for
isoparametric elements – One and two dimensions – Serendipity elements – Numerical
integration and application to plane stress problems - Matrix solution techniques –
Solutions Techniques to Dynamic problems – Introduction to Analysis Software.
48
L : 45, T : 15, TOTAL : 60 PERIODS
TEXT BOOKS
1. Seshu. P. “Textbook of Finite Element Analysis” Prentice Hall of India, 2003.
2. J. N. Reddy, “Finite Element Method” Tata McGraw Hill, 2003.
REFERENCES
1. Chandrupatla and Belegundu, “Introduction to Finite Elements in Engineering” PHI /
Pearson Education, 2003.
2. Logan. D.L. “A first course in Finite Element Method”, Thomson Asia Pvt. Ltd., 2002.
3. Cook R.D., Malkus. D.S. Plesha, ME., “Concepts and Applications of Finite Element
Analysis”, John – Wiley Sons 2003.
4. S.S. Rao, “The Finite Element Method in Engineering “Butter worth Heinemann,
2001.
ML3312 FINITE ELEMENT ANALYSIS L T P C
3 1 0 4
OBJECTIVES
To introduce the concepts of Mathematical Modeling of Engineering Problems.
To appreciate the use of FEM to a range of Engineering Problems.
UNIT I INTRODUCTION 9
Historical Background – Mathematical Modeling of field problems in Engineering –
Governing Equations – Discrete and continuous models – Boundary, Initial and Eigen
Value problems – Weighted Residual Methods – Variational Formulation of Boundary
Value Problems – Ritz Technique – Basic concepts of the Finite Element Method.
UNIT II ONE-DIMENSIONAL PROBLEMS 9
One Dimensional Second Order Equations – Discretization – Element types- Linear and
Higher order Elements – Derivation of Shape functions and Stiffness matrices and force
vectors. Assembly of Matrices solution of problems from solid mechanics and heat
transfer. Fourth Order Beam Equation – Transverse deflections and Natural frequencies
of beams.
UNIT III TWO DIMENSIONAL SCALAR VARIABLE PROBLEMS 9
Second Order 2D Equations involving Scalar Variable Functions – Variational
formulation – Finite Element formulation – Triangular elements – Shape functions and
element matrices and vectors. Application to Field Problems - Thermal problems –
Torsion of Non circular shafts – Quadrilateral elements – Higher Order Elements.
UNIT IV TWO DIMENSIONAL VECTOR VARIABLE PROBLEMS 9
Equations of elasticity – Plane stress, plane strain and axisymmetric problems – Body
forces and temperature effects – Stress calculations - Plate and shell elements.
UNIT V ISOPARAMETRIC FORMULATION AND MISCELLANEOUS TOPICS 9
Natural co-ordinate systems – Isoparametric elements – Shape functions for
isoparametric elements – One and two dimensions – Serendipity elements – Numerical
integration and application to plane stress problems - Matrix solution techniques –
Solutions Techniques to Dynamic problems – Introduction to Analysis Software.
48
L : 45, T : 15, TOTAL : 60 PERIODS
TEXT BOOKS
1. Seshu. P. “Textbook of Finite Element Analysis” Prentice Hall of India, 2003.
2. J. N. Reddy, “Finite Element Method” Tata McGraw Hill, 2003.
REFERENCES
1. Chandrupatla and Belegundu, “Introduction to Finite Elements in Engineering” PHI /
Pearson Education, 2003.
2. Logan. D.L. “A first course in Finite Element Method”, Thomson Asia Pvt. Ltd., 2002.
3. Cook R.D., Malkus. D.S. Plesha, ME., “Concepts and Applications of Finite Element
Analysis”, John – Wiley Sons 2003.
4. S.S. Rao, “The Finite Element Method in Engineering “Butter worth Heinemann,
2001.
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