MG University B.Tech Syllabus S8 Civil
Module 1
Introduction to FEM-Historical development-Idealization of actual structures-Mathematical model-General procedure of FEA-Displacement approach. Solution techniques- Gauss Elimination – Frontal solver (concepts only)
Module 2
Finite element analysis- -Energy principles- Principle of Stationary Potential Energy- Complementary Energy – Variational approach -Stable- Unstable- Neutral equilibrium-Virtual work- Principle of virtual forces – Principle of virtual displacements.
Module 3
Shape functions-Lagrangian and Hermition Interpolation – Polynomials – General coordinates-Area coordinates-Compatibility –C0 and C1 elements-convergence criteria- conforming & nonconforming elements – Patch test
Finite element analysis- -Energy principles- Principle of Stationary Potential Energy- Complementary Energy – Variational approach -Stable- Unstable- Neutral equilibrium-Virtual work- Principle of virtual forces – Principle of virtual displacements.
Module 3
Shape functions-Lagrangian and Hermition Interpolation – Polynomials – General coordinates-Area coordinates-Compatibility –C0 and C1 elements-convergence criteria- conforming & nonconforming elements – Patch test
Module 4
Stiffness matrix-Bar element-Beam element-Triangular elements – Constant Strain Triangle-Linear Strain Triangle- Isoparametric elements-Numerical Integration – Gauss Quadrature.
Stiffness matrix-Bar element-Beam element-Triangular elements – Constant Strain Triangle-Linear Strain Triangle- Isoparametric elements-Numerical Integration – Gauss Quadrature.
Module 5
General plate bending elements- Plate bending theory – Kirchhoff’s theory – Mindlin’s theory – Introduction to locking problems- preventive measures – reduced integration – selective integration. Axysymmetric elements- Introduction to shell elements
General plate bending elements- Plate bending theory – Kirchhoff’s theory – Mindlin’s theory – Introduction to locking problems- preventive measures – reduced integration – selective integration. Axysymmetric elements- Introduction to shell elements
References
1. O C Zienkiewicz,.Finite Element Method, fourth Edition,McGraw Hill,
R.D.Cook, Concepts and Applications of Finite Element Analysis, John Wiley &Sons.
Stephen P.Timoshenko& Krieger, S.W., Theory of Plates and Shells, McGraw Hill.
C.S.Krishnamoorthy, Finite Element Analysis, Tata McGraw Hill .New Delhi, 1987.
5. S.Rajasekharan, Finite Element Analysis, Wheeler Publishing Co., &Sons.1993.
T.Kant, Finite Element Methods in Computational Mechanics, Pergamons Press.
K.J.Bathe, Finite Element Procedures in Engineering Analysis, Prentice Hall,
Mukhopadhyay M., Matrix Finite Element Computer and Structural Analysis, Oxford &IBH, 1984.
Irving H.Shames, Energy &Finite Element Methods in Structural Mechanics.
Desai C.S.&Abel J.F., Introduction to Finite Element Methods, East West Press.
R.D.Cook, Concepts and Applications of Finite Element Analysis, John Wiley &Sons.
Stephen P.Timoshenko& Krieger, S.W., Theory of Plates and Shells, McGraw Hill.
C.S.Krishnamoorthy, Finite Element Analysis, Tata McGraw Hill .New Delhi, 1987.
5. S.Rajasekharan, Finite Element Analysis, Wheeler Publishing Co., &Sons.1993.
T.Kant, Finite Element Methods in Computational Mechanics, Pergamons Press.
K.J.Bathe, Finite Element Procedures in Engineering Analysis, Prentice Hall,
Mukhopadhyay M., Matrix Finite Element Computer and Structural Analysis, Oxford &IBH, 1984.
Irving H.Shames, Energy &Finite Element Methods in Structural Mechanics.
Desai C.S.&Abel J.F., Introduction to Finite Element Methods, East West Press.