Section 1
1. In linear FEA analysis, all elements are assumed to be perfectly elastic. T/F
2. In steel structures, which is more important for determination of failure (a) Maximum
Principal Stress (b)Von Mises Stress
3. In FEA, stresses are always calcula
Lecture 8
A 3-Node Element Stiffness Matrix
The selection of shape functions discussed so far is actually the simplest possible with
its piece-wise linear nature with a discontinuous first-order derivative.
Let us now introduce a second choice of shape fu
Finite Element Trusses
3.0
Trusses Using FEA
We started this series of lectures looking at truss problems. We limited the
discussion to statically determinate structures and solved for the forces in elements and
reactions at supports using basic concepts
8/28/2016
Motivations
But we would like to solve problems like these:
p
A Simple Truss Element
F
F
We need more elements for 2D and 3D problems!
E. Chan SJSU ME273
4
Agenda
Motivations
Development of A Simple Truss Element
Two main types of finite ele
ME 273 Fall 2016 Homework 1
Due September 14, 2016 at 6:00pm
Instructions: Please solve the following problems by hand.
1. Find the eigenvalues and eigenvectors of the following matrices:
5 2
a. [] =
2 2
5
b. [] = 2
0
5
[]
c.
= 0
2
2 0
2 0
0 3
0 2
6 0
0
ME 273 Fall 2016 Homework 2
Due October 3, 2016 at 6:00pm
Instructions: For matrix operations such as matrix multiplications or inversions, you can use any
software package to do these computations. Dont waste time solving linear systems
of equations by h
ME 273 Fall 2016 Homework 4
Due October 24, 2016 at 6:00pm
Instructions: For matrix operations such as matrix multiplications or inversions, you can use any
software package to do these computations. Dont waste time solving linear systems
of equations by
San Jos State University
Department of Mechanical Engineering
ME 273 Finite Element Methods in Engineering
Section 01 (42862), Fall 2016
Course and Contact Information
Instructor:
Dr. Eduardo Chan
Office Location:
ENG 213
Telephone:
(408) 418-8535
Email:
8/28/2016
Bad Thermal Results!
Introduction to the Finite Element
Method
E. Chan SJSU ME273
Course Prerequisites
4
FEA Disasters!
BSME or instructors consent.
Please sign the Student Consent & Acknowledgement of
Satisfactory Completion of Course Prerequ
ME 273 Fall 2016 Homework 3
Due October 17, 2016 at 6pm
Instructions: For matrix operations such as matrix multiplications or inversion, you can use any
software package to do these computations. Dont waste time solving linear systems of
equations by hand
1.5 Element stiffness matrices for the six spring elements:
[
]
[
]
[
]
[
]
[
]
[
]
Global stiffness matrix for the entire system:
[
]
1.6 (a) Element stiffness matrices for the six spring elements:
[
]
[
]
[
Global stiffness matrix for the entire system:
2.1. (a) Use three 1-D bar elements,
For element 1 (connecting nodes 1 and 2),
[
]
[
]
[
]
For element 2 (connecting nodes 2 and 3),
For element 3 (connecting nodes 3 and 4),
We can assemble the global FE equation as follows:
[
]
][
[ ]
Load and boundary
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Motivations
Beam element is the most common structural element:
buildings, bridges and towers
automobile body frames
aircraft fuselage & wingspan frames
A Simple Beam Element
E. Chan SJSU ME273
Agenda
4
Review of Euler-Bernouli Beam Theory