Details regarding class organization...
and Engineering Outreach and
Contact Information (Dr. Nielsen's Homepage)
Class | Date | Topic | Reading | Assignment |
1 | Jan 9 |
Introduction to Finite
Elements |
Chapter 1 |
|
2 | Jan 11 |
Energy and Variational Methods, Table of Integrals |
||
Jan 14 |
Method of Weighted Residuals | 3.1 | ||
3 |
Jan 16 |
Integration Methods, Potential Energy & Galerkin Weak Formulation | 3.2 | |
4 |
Jan 18 |
Weak Form Solutions | 3.9 | Prob. 3.1 |
5 |
Jan 21 |
Human Rights Day |
||
6 | Jan 23 |
1-D Shape Function | 4 | |
7 | Jan 25 |
Weak Form Matrix Formulation, Pile Example | 4.1 | Prob. 3.3, 3.4 |
8 | Jan 28 |
Boundary Conditions, Solution without Rearrangement, (PDF) | 2.2.2, 3.7 |
|
9 | Jan 30 |
1-D Coordinate Systems | 4.6 | |
10 | Feb 1 |
1-D Differential Equations, Pipe Example | 3.6-3.8, 5.2-5.7 |
Prob. 3.7 |
11 | Feb 4 |
Triangular Element, Example, |
7.2 |
|
12 | Feb 6 |
Triangular Element: Area Coordinates | 7.6.1 | |
13 | Feb 8 |
Finite Element Solutions to Poisson's Equation | 6 | |
14 |
Feb 11 |
Triangular Element Matrices | 7.2 | |
15 | Feb 13 |
Torsional Problem, Torsion Example (PDF) | Handout: heat flow in pipe | |
16 | Feb
15 |
Bilinear Rectangular Element, Example | 7.3 | |
Feb 18 |
Presidents' Day | |||
17 | Feb 20 |
Bilinear Rectangular Element Matrices | 7.4 | |
18 | Feb 22 |
Exam #1 | Old Exam | |
19 | Feb 25 |
Derivative Boundary Conditions | Prob. 8.2 | |
20 | Feb 27 |
Rectangular Element B.C., Triangular Element B.C. | 7.2.3, 7.4.2 | Torsion problem |
21 | Mar 1 |
Irrotational Flow | ||
22 | Mar 4 |
Isoparametric Elements, Example | 4.2, 7.4.2 | |
23 | Mar 6 |
Linear Quadrilateral Isoparametric Element | 7.4.2 |
project assignment |
24 | Mar 8 |
Numerical Integration of Isoparametric Elements, Example | 7.8 | |
Mar |
11-15 | Spring Break |
||
25 | Mar 18 |
Point Sources and Sinks, Example | Project Proposal |
|
26 | Mar 20 | Quadratic Triangular Element | 7.6, 7.8.2 |
|
27 | Mar 22 | Heat Flow Example | Handout: flow under dam with
isoparametric elements |
|
28 | Mar 25 |
9-Node Quadratic Quadrilateral Element | 7.5 |
|
29 | Mar 27 |
Heat Exchanger Example | ||
30 | Mar 29 |
Axisymmetric Field Problems | ||
31 | Apr 1 |
Axisymmetric Element Matrices | Project Progress Report |
|
32 | Apr 3 |
Cofferdam Example | Prob. 8.6 with quadratic triangular elements | |
33 | Apr 5 |
Exam #2 | Old Exam | |
34 | Apr 8 |
Work & Energy for Mechanical/Structural Elements | 9.1-9.2 | |
35 | Apr 10 | Element Matrices | 9.3 | |
36 | Apr 12 | Linear Triangular Element, Shear Wall Example (PDF) | 9.4 |
|
37 | Apr 15 |
Quadratic (6-node) Triangular Element, Example (PDF) | Axisymmetric foundation |
|
38 | Apr 17 |
Bilinear (4-node) Quadrilateral Element, Example (PDF) | Project Outline |
|
39 | Apr 19 |
Quadratic (9-node) Quadrilateral
Isoparametric Element, Example |
||
40 | Apr 22 |
Stresses | 9.6 |
|
41 | Apr 24 |
Exam #3 | Old Exam | |
42 | Apr 26 |
Mesh Instabilities Example (PDF) (1-point) | Disk with point loads using quadratic triangular or bilinear quadrilateral isoparametric elements | |
43 | Apr 29 |
Survey of Advanced Topics | ||
44 | May 1 |
Student Presentations | ||
45 | May 3 |
Student Presentations |
||
May 7 |
Student Presentations - May 7, 3:00 P.M. |
The reading assignments should be completed before each lecture.
Homework assignments are due on the dates shown.