CE6020 Finite Element Techniques Syllabus Notes Question Bank with answers

UNIT I INTRODUCTION TO FINITE ELEMENT ANALYSIS AND FINITE ELEMENT FORMULATION TECHNIQUES
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
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
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
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
Plate Bending Problems – Finite Elements for Elastic Stability – Finite Elements in Fluid Mechanics – Dynamic Analysis