JAWAHARLAL NEHRU TECHNOLOGICAL UNIVERSITY HYDERABAD

UNIT - I

Introduction to FEM, basic concepts, historical back ground, applications of FEM, general description, comparison of FEM with other methods, variational approach, Glerkin’s Methods. Co-ordinates, basic element shapes, interpolation function, Virtual energy principle, Rayleigh – Ritz method, properties of stiffness matrix, treatment of boundary conditions, solution of system of equations, shape functions and characteristics, Basic equations of elasticity, strain- displacement relations.

UNIT - II

1-D Structural Problems: Axial bar element – stiffness matrix, load vector, temperature effects, Quadratic shape functions, and problems. Analysis of Trusses: Plane Trusses and Space Truss elements and problems Analysis of Beams: Hermite shape functions – stiffness matrix – Load vector – Problems.

UNIT - III

2-D Problems: CST, LST, force terms, Stiffness matrix and load vectors, boundary conditions, Isoparametric elements – quadrilateral element, shape functions – Numerical Integration. Finite element modelling of Axi-symmetric solids subjected to Axi-symmetric loading with triangular elements. 3-D Problems: Tetrahedran element – Jacobian matrix – Stiffness matrix.

UNIT - IV

Scalar Field Problems: 1-D Heat conduction-Slabs – fins - 2-D heat conduction problems – Introduction to Torsional problems.

UNIT - V

Dynamic considerations, Dynamic equations – consistent mass matrix – Eigen Values, Eigen vector, natural frequencies – mode shapes – modal analysis.

REFERENCES:

• 1. The Finite Element Methods in Engineering / SS Rao / Pergamon.
• 2. Finite Element Methods: Basic Concepts and applications, Alavala, PHI
• 3. Introduction to Finite Elements in Engineering, Chandrupatla, Ashok and Belegundu, Prentice – Hall
• 4. Finite Element Method – Zienkiewicz / McGraw Hill
• 5. Introduction to Fininte element analysis- S. Md. Jalaludeen, Anuradha Publications, print- 2012 th
• 6. A First Course in the Finite Element Method/Daryl L Logan/Cengage Learning/5 Edition
• 7. Finite Element Method – Krishna Murthy / TMH
• 8. Finite Element Analysis – Bathe / PHI M. Tech I Year – II Sem (Machine Design)