A First Course in the Finite Element Method

by Logan, Daryl L.

• ISBN13: 9780495668251
• ISBN10: 0495668257
• Edition: 5th
• Format: Hardcover
• Copyright: 2011-01-01
• Publisher: Cengage Learning

Summary

A FIRST COURSE IN THE FINITE ELEMENT METHOD provides a simple, basic approach to the course material that can be understood by both undergraduate and graduate students without the usual prerequisites (i.e. structural analysis). The book is written primarily as a basic learning tool for the undergraduate student in civil and mechanical engineering whose main interest is in stress analysis and heat transfer. The text is geared toward those who want to apply the finite element method as a tool to solve practical physical problems.

Table of Contents

Introduction

Introduction to the stiffness (displacement) method

Development of truss equations

Development of beam equations

Frame and grid equations

Development of the plane stress and strain stiffness equations

Practical considerations in modelling: interpreting results and examples of plane stress/strain analysis

Development of the linear-strain triangle equations

Axisymmetric elements

Isoparametric formulation

Three-dimensional stress analysis

Plate bending element

Heat transfer and mass transport

Fluid flow in porous media and through hydraulic networks; and electrical networks and electrostatics

Thermal stress

Structural dynamics and time-dependent heat transfer

Matrix algebra

Methods for solution of simultaneous linear equations

Equations for elasticity theory

Equivalent nodal forces

Principle of virtual work

Properties of structural steel and aluminum shapes

Answers to Selected problems

Index

Table of Contents provided by Publisher. All Rights Reserved.