# FINITE ELEMENT ANALYSIS AND ITS APPLICATION TO THE CIVIL ENGINEERING

 Course Code : P1CIBC04 Author : uLektz University : Biju Patnaik University of Technology (BPUT) Regulation : 2016 Categories : General Engineering Format : ePUB3 (DRM Protected) Type : eBook

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Description :FINITE ELEMENT ANALYSIS AND ITS APPLICATION TO THE CIVIL ENGINEERING of P1CIBC04 covers the latest syllabus prescribed by Biju Patnaik University of Technology (BPUT) for regulation 2016. 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: Finite Element Method-Basic Concepts

1.2 Solution of Discrete Problems, Steady State and Time Dependent Continuous Problems

1.3 Application of Finite Method through illustrative Examples

1.4 Finite Difference Method-Finite Difference

1.5 Representation of Differential Equations- Stability Consistency and Convergence of Partial Differential Equations

1.6 Time integration -Finite Difference Methods in Solution of Steady and Unsteady Problem-Jacobi’s Method, Gauss Seidel Method

###### UNIT II FEM FOR TWO AND THREE DIMENSIONAL SOLIDS

2.1 FEM for Two and Three Dimensional Solids:The Continuum, Equations of Equilibrium, Boundary Conditions

2.2 Strain displacement relations, Stress strain Relations

2.3 Plane stress and plane Strain problems, Different methods of structural analysis including numerical methods

2.4 Basics of finite element method (FEM)

2.5 Different steps involved in FEM

2.6 Different approaches of FEM, Direct method, Energy approach

###### UNIT III ELEMENT PROPERTIES

3.1 Element properties: Interpolation Functions for General Element Formulations: Compatibility and Completeness

3.2 Polynomial Forms: One Dimensional Elements, Geometric Isotropy, Triangular Elements, Rectangular Elements, Lagrange and Serendipity Elements, Solid Elements

3.3 Isoparametric Formulation, Stiffness Matrix of Isoparametric Elements

3.4 Three Dimensional Elements, Isoparametric Formulations

3.5 Axisymmetric Elements

3.6 Numerical Integration: One, Two and Three Dimensional

###### UNIT IV ANALYSIS OF FRAME STRUCTURES AND ADDITIONAL APPLICATIONS OF FEM

4.1 Analysis of Frame Structures:-Stiffness of Truss Members

4.2 Analysis of Truss

4.3 Stiffness of Beam Members

4.4 Finite Element Analysis of Continuous Beam

4.5 Plane Frame Analysis

4.6 Analysis of Grid and Space Frame

4.7 Introduction to Plate Bending Problems

4.8 Finite Element Analysis of Shell

4.9 Additional Applications of FEM: Finite Elements for Elastic Stability, Finite Elements in Fluid Mechanics and ground water modelling