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 
1D 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 
1D Coordinate Systems  4.6  
10  Feb 1 
1D Differential Equations, Pipe Example  3.63.8, 5.25.7 
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 
1115  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 
9Node 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  9.19.2  
35  Apr 10  Element Matrices  9.3  
36  Apr 12  Linear Triangular Element, Shear Wall Example (PDF)  9.4 

37  Apr 15 
Quadratic (6node) Triangular Element, Example (PDF)  Axisymmetric foundation 

38  Apr 17 
Bilinear (4node) Quadrilateral Element, Example (PDF)  Project Outline 

39  Apr 19 
Quadratic (9node) Quadrilateral
Isoparametric Element, Example 

40  Apr 22 
Stresses  9.6 

41  Apr 24 
Exam #3  Old Exam  
42  Apr 26 
Mesh Instabilities Example (PDF) (1point)  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.