BAR & TRUSS FINITE ELEMENT
Direct Stiffness Method
FINITE ELEMENT ANALYSIS AND
APPLICATIONS
1
INTRODUCTION TO FINITE ELEMENT METHOD
What is the finite element method (FEM)?
A technique for obtaining approximate solutions of differential
equations.
Part
1
Why symmetry?
Symmetry is often argued from the requirement that the
strain energy must be positive. (e.g. Generalized 3-D
Hookes law)
One of the derivatives of energy principles is the BettiMaxwell reciprocity theorem. (Very useful in structural
mech
CHAP 4 FINITE ELEMENT ANALYSIS OF
BEAMS AND FRAMES
1
INTRODUCTION
We learned Direct Stiffness Method in Chapter 2
Limited to simple elements such as 1D bars
we will learn Energy Method to build beam finite element
Structure is in equilibrium when the
Finite Element Analysis
m
y
Using ABAQUS 2
1
Methods of Analysis in ABAQUS
Interactive mode
Create analysis model and procedure using GUI
Advantage: No need to remember commands
Disadvantage: No automatic procedure for changing model or
parameters
Py
WEIGHTED RESIDUAL METHOD
1
INTRODUCTION
Direct stiffness method is limited for simple 1D problems
PMPE is limited to potential problems
FEM can be applied to many engineering problems that are
governed by a differential equation
Need systematic approa
1
Chapter 3: BASIC ELEMENTS
Section 3.1: Preliminaries (review of
3 1:
solid mechanics)
R.T. Haftka
EML5526 Finite Element Analysis
University of Florida
2
Outline
Most structural analysis FE codes are displacement
y
p
based
In this chapter we discuss i