| Class |
Date |
Topic (Class notes will be posted
approximately one week before the scheduled lecture) |
Reading |
Assignment |
| 1 |
Jan 10 |
Introduction to Finite Elements, Nat'l
Crash Center |
1.1 |
Get Adobe
Acrobat® Reader |
| 2 |
Jan 12 |
Energy
and Variational Methods, Table
of Integrals Access instructions will be given in class |
1.1 |
|
|
Jan 15 |
Martin Luther King Jr. Day |
|
|
| 3 |
Jan 17 |
Method of Weighted
Residuals |
1.2 |
|
| 4 |
Jan 19 |
Integration Methods,
Potential
Energy & Galerkin (PDF)
Weak Formulation |
1.3-1.4 |
Chapt 1: N1 |
| 5 |
Jan 22 |
Calculus of
Variations |
2.1-2.3 |
Chapt 1: N2, N3 |
| 6 |
Jan 24 |
1-D
Shape Function, 1-D
Differential Equation |
3.1-3.2 |
|
| 7 |
Jan 26 |
Variational
Formulation, Pile Example
(PDF) |
3.3 |
Chapt 2: N1 |
| 8 |
Jan 29 |
Boundary Conditions,
Solution
without Rearrangement, (PDF) |
3.4-3.5 |
|
| 9 |
Jan 31 |
1-D Coordinate Systems |
4.4-4.5 |
|
| 10 |
Feb 2 |
1-D Differential
Equations, Pipe Example
(PDF) |
4.1-4.3 |
Chapt 3: N3 |
| 11 |
Feb 5 |
Triangular Element,
Example
(PDF)
Triangular Element: Area Coordinates |
5.1-5.4 |
|
| 12 |
Feb 7 |
Finite Element Solutions
to Poisson's Equation |
6.1 |
|
| 13 |
Feb 9 |
Triangular
Element Matrices |
6.2 |
Chapt 4: P1 |
| 14 |
Feb 12 |
Torsional
Problem |
7.1-7.6 |
|
| 15 |
Feb
14 |
Torsion Example
(PDF) |
7.4 |
|
| 16 |
Feb 16 |
Bilinear Rectangular
Element, Example
(PDF) |
|
Chapt 6: N3 |
| |
Feb 19 |
Presidents' Day |
|
|
| 17 |
Feb 21 |
Bilinear
Rectangular Element Matrices |
|
|
| 18 |
Feb 23 |
Exam #1 |
Old Exam |
|
| 19 |
Feb 26 |
Derivative Boundary
Conditions |
9.1.4-9.1.5 |
|
| 20 |
Feb 28 |
Rectangular
Element B.C., Triangular
Element B.C. |
|
|
| 21 |
Mar 2 |
Irrotational Flow
(PDF) |
7.3 |
Chapt 7: P3 |
| 22 |
Mar 5 |
Isoparametric
Elements, Example
(PDF) |
8.1-8.2 |
|
| 23 |
Mar 7 |
Linear
Quadrilateral Isoparametric Element |
8.3 |
project assignment
|
| 24 |
Mar 9 |
Numerical Integration
of Isoparametric Elements, Example
(PDF) |
8.4 |
|
| Mar |
12-16 |
Spring
Recess |
|
Internet
FE resources |
| 25 |
Mar 19 |
Point Sources and Sinks,
Example
(PDF) |
|
|
| 26 |
Mar 21 |
Quadratic
Triangular Element |
8.5.1 |
Project Proposal |
| 27 |
Mar 23 |
Heat
Flow Example (PDF) |
|
|
| 28 |
Mar 26 |
9-Node Quadratic
Quadrilateral Element, |
8.5.2-8.5.4 |
Chapt
7: P4 with isoparametric elements |
| 29 |
Mar 28 |
Heat Exchanger
Example (PDF) |
|
|
| 30 |
Mar 30 |
Axisymmetric Field
Problems |
9.1.3 |
|
| 31 |
Apr 2 |
Axisymmetric Element
Matrices |
|
|
| 32 |
Apr 4 |
Cofferdam Example
(PDF) |
|
Project Progress Report |
| 33 |
Apr 6 |
Exam #2 |
Old Exam |
Chapt 7: P5 with quadratic triangular elements |
| 34 |
Apr 9 |
Work & Energy for Mechanical/Structural
Elements |
11.1-11.4 |
|
| 35 |
Apr 11 |
Element Matrices |
11.5-11.6 |
|
| 36 |
Apr 13 |
Linear Triangular
Element, Shear
Wall Example (PDF) |
11.7 |
|
| 37 |
Apr 16 |
Quadratic Triangular
Element, Example
(PDF) |
|
Chapt 9:P2, assuming foundation is axisymmetric around centerline |
| 38 |
Apr 18 |
Bilinear
Quadrilateral Element, Example
(PDF) |
|
Project Outline |
| 39 |
Apr 20 |
Stresses |
11.8 |
|
| 40 |
Apr 23 |
Mesh
Instabilities Example
(PDF)
(1-point) |
|
|
| 41 |
Apr 25 |
Linear Hexahedral
Element |
|
|
| 42 |
Apr 27 |
Solid Element Beam
(PDF), Negative
Jacobian (PDF) |
|
Chapt 11: P2 with quadratic triangular or bilinear quadrilateral isoparametric
elements |
| 43 |
Apr 30 |
Exam #3 |
Old Exam |
|
| 44 |
May 2 |
Survey of Advanced
Topics |
|
|
| 45 |
May 4 |
Student Presentations |
|
|
| 46 |
May 7 |
Student Presentations - 7:30 A.M. |
|
|
Homework assignments are due on the dates shown.
