Finite Element Methods Notes JNTU – FEM Notes JNTU of Total Complete Notes
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All the above chapter are covered according to the below units (JNTU)
FINITE ELEMENT METHODS
Introduction to FEM: basic concepts. historical back ground. application of FEM. general description, comparison of FEM with other methods. Basic equations of elasticity, Stress – Strain and strain – displacement relations. Rayleigh-V Ritz method. Weighted residual methods.
One Dimensional problens : Stiffness equations for a axial bar element in local co-ordinates using Potential Energy approach and Virtual energy principle – Finite element analysis of uniform, stepped and tapered bars subjected to mechanical and thermal loads – Assembly of Global stiffness matrix and load vector – Quadratic shape functions – properties of stiffness matrix.
Stiffness equations for a truss bar element oriented in 2D plane – Finite Element Analysis of Trusses – Plane Truss and Space Truss elements — methods of assembly.
Analysis of bea: Hermite shape functions – Element stiffness matrix – Load vector – Problems.
2-D problems: CST – Stiffness matrix and load vector – lsoparametric element representation – Shape functions – convergence requirements – Problems.
Two dimensional four noded isoparametric elements – Numerical integration – Finite element modelling of AXisymmetric solids subjected to Axisymmetric loading with triangular elements – 3-D problems – Tetrahedran element.
Scalar field problems: 1-D Heat conduction — 1 D ﬁn elements – 2D heat conduction – analysis of thin plates – Composite slabs – problems.
Dynamic Analysis: Dynamic equations – Lumped and consistent mass matrices – Eigen Values and Eigen Vectors – mode shapes — modal analysis for bars and beams.