CE6020 FINITE ELEMENT TECHNIQUES L T P C 3 0 0 3
OBJECTIVES:
• To apprise the students about the basics of Finite Element theory, computer implementation of this theory and its practical applications.
UNIT I INTRODUCTION TO FINITE ELEMENT ANALYSIS AND FINITE ELEMENT FORMULATION TECHNIQUES 9
Introduction - Basic Concepts of Finite Element Analysis - Introduction to Elasticity - Steps in Finite Element Analysis - Virtual Work and Variational Principle - Galerkin Method- Finite Element Method: Displacement Approach - Stiffness Matrix and Boundary Conditions.
UNIT II ELEMENT PROPERTIES 9
Natural Coordinates - Triangular Elements - Rectangular Elements - Lagrange and Serendipity Elements - Solid Elements -Isoparametric Formulation - Stiffness Matrix of Isoparametric Elements Numerical Integration: One, Two and Three Dimensional
UNIT III ANALYSIS OF FRAME STRUCTURES 9
Stiffness of Truss Members - Analysis of Truss - Stiffness of Beam Members - Finite Element
Analysis of Continuous Beam - Plane Frame Analysis - Analysis of Grid and Space Frame.
UNIT IV FEM FOR TWO AND THREE DIMENSIONAL SOLIDS 9
Constant Strain Triangle - Linear Strain Triangle - Rectangular Elements -Numerical Evaluation of Element Stiffness -Computation of Stresses, Geometric Nonlinearity and Static Condensation - Axisymmetric Element -Finite Element Formulation of Axisymmetric Element -Finite Element Formulation for 3 Dimensional Elements
UNIT V APPLICATIONS OF FEM 9
Plate Bending Problems - Finite Elements for Elastic Stability - Finite Elements in Fluid Mechanics
- Dynamic Analysis
OUTCOMES:
TOTAL: 45 PERIODS
• Students will be in a position to develop computer codes for any physical problems using
FE techniques.
TEXTBOOKS:
1. Chandrupatla, T.R., and Belegundu, A.D., “Introduction to Finite Element in Engineering”,
Third Edition, Prentice Hall, India, 2003.
2. Krishnamoorthy C. S. ,"Finite Element Analysis Theory and Programming", Tata McGraw
Hill Education, 1994
3. David V. Hutton,"Fundamentals of Finite Element Analysis", Tata McGraw Hill, 2004
4. Daryl L.Logan, "A First Course in Finite Element Method", Cengage Learning, 2012.
REFERENCES:
1. Reddy J.N., “An Introduction to Finite Element Method”, McGraw-Hill, Intl. Student Edition,
1985.
2. Zienkiewics, “The finite element method, Basic formulation and linear problems”, Vol.1, 4th
Edition, McGraw-Hill, Book Co., 1987
3. Rao S.S, “The Finite Element Method in Engineering”, Pergaman Press, 2003.
4. Desai C.S. and. Abel J.F, “Introduction to the Finite Element Method”, Affiliated East West
Press, 1972.
5. Cook R. D.,"Concepts and Applications of Finite Element Analysis", Wiley and Sons, 1989.
OBJECTIVES:
• To apprise the students about the basics of Finite Element theory, computer implementation of this theory and its practical applications.
UNIT I INTRODUCTION TO FINITE ELEMENT ANALYSIS AND FINITE ELEMENT FORMULATION TECHNIQUES 9
Introduction - Basic Concepts of Finite Element Analysis - Introduction to Elasticity - Steps in Finite Element Analysis - Virtual Work and Variational Principle - Galerkin Method- Finite Element Method: Displacement Approach - Stiffness Matrix and Boundary Conditions.
UNIT II ELEMENT PROPERTIES 9
Natural Coordinates - Triangular Elements - Rectangular Elements - Lagrange and Serendipity Elements - Solid Elements -Isoparametric Formulation - Stiffness Matrix of Isoparametric Elements Numerical Integration: One, Two and Three Dimensional
UNIT III ANALYSIS OF FRAME STRUCTURES 9
Stiffness of Truss Members - Analysis of Truss - Stiffness of Beam Members - Finite Element
Analysis of Continuous Beam - Plane Frame Analysis - Analysis of Grid and Space Frame.
UNIT IV FEM FOR TWO AND THREE DIMENSIONAL SOLIDS 9
Constant Strain Triangle - Linear Strain Triangle - Rectangular Elements -Numerical Evaluation of Element Stiffness -Computation of Stresses, Geometric Nonlinearity and Static Condensation - Axisymmetric Element -Finite Element Formulation of Axisymmetric Element -Finite Element Formulation for 3 Dimensional Elements
UNIT V APPLICATIONS OF FEM 9
Plate Bending Problems - Finite Elements for Elastic Stability - Finite Elements in Fluid Mechanics
- Dynamic Analysis
OUTCOMES:
TOTAL: 45 PERIODS
• Students will be in a position to develop computer codes for any physical problems using
FE techniques.
TEXTBOOKS:
1. Chandrupatla, T.R., and Belegundu, A.D., “Introduction to Finite Element in Engineering”,
Third Edition, Prentice Hall, India, 2003.
2. Krishnamoorthy C. S. ,"Finite Element Analysis Theory and Programming", Tata McGraw
Hill Education, 1994
3. David V. Hutton,"Fundamentals of Finite Element Analysis", Tata McGraw Hill, 2004
4. Daryl L.Logan, "A First Course in Finite Element Method", Cengage Learning, 2012.
REFERENCES:
1. Reddy J.N., “An Introduction to Finite Element Method”, McGraw-Hill, Intl. Student Edition,
1985.
2. Zienkiewics, “The finite element method, Basic formulation and linear problems”, Vol.1, 4th
Edition, McGraw-Hill, Book Co., 1987
3. Rao S.S, “The Finite Element Method in Engineering”, Pergaman Press, 2003.
4. Desai C.S. and. Abel J.F, “Introduction to the Finite Element Method”, Affiliated East West
Press, 1972.
5. Cook R. D.,"Concepts and Applications of Finite Element Analysis", Wiley and Sons, 1989.
