# Finite Element Methods

 Course Code : RT41033 Author : uLektz University : JNTU Kakinada Regulation : 2013 Categories : Mechanical Format : ePUB3 (DRM Protected) Type : eBook

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Description :Finite Element Methods of RT41033 covers the latest syllabus prescribed by JNTU Kakinada for regulation 2013. Author: uLektz, Published by uLektz Learning Solutions Private Limited.

Note : No printed book. Only ebook. Access eBook using uLektz apps for Android, iOS and Windows Desktop PC.

##### Topics
###### UNIT-I INTRODUCTION:

1.1 Introduction to finite element method, Stress and equilibrium, Strain – displacement relations, Stress – strain relations

1.2 Plane stress and plane strain conditions, variational and weighted residual methods

1.3 Concept of potential energy, one dimensional problems

###### UNIT – II DISCRETIZATION PROCEDURE:

2.1 Discretization of domain, element shapes, discretization procedures

2. 2Assembly of stiffness matrix, band width, node numbering, mesh generation

2.3 Interpolation functions, local and global coordinates

2.4 Convergence requirements, treatment of boundary conditions

###### UNIT – III ANALYSIS OF TRUSSES & BEAMS:

3.1 Finite element modeling, Coordinates and shape functions,Assembly of global stiffness matrix and load vector

3.2 Finite element equations, treatment of boundary conditions, stress, strain and support reaction calculations

3.3 Element stiffness matrix for Hermite beam element

3.4 Derivation of load vector for concentrated and UDL, Simple problems on beams

###### UNIT – IV FINITE ELEMENT MODELLING:

4.1 Finite element modeling of two dimensional stress analysis with constant strain triangles and treatment of boundary conditions

4.2 Formulation of axisymmetric problems

###### UNIT-V HIGHER ORDER AND ISOPARAMETRIC ELEMENTS:

5.1 One dimensional quadratic and cubic elements in natural coordinates

5.2 Two dimensional four noded isoparametric elements and numerical integration

###### UNIT – VI STEADY STATE HEAT TRANSFER ANALYSIS & DYNAMIC ANALYSIS:

6.1 One dimensional analysis of a fin and two dimensional analysis of thin plate, analysis of a uniform shaft subjected to torsion

6.2 Formulation of finite element model, element consistent and lumped mass matrices

6.3 Evaluation of eigen values and eigen vectors, Free vibration analysis