| Assignment |
Description |
Date Assigned |
|
1 |
Do problems 2.4,
2.10, and 2.22 on pages 66 - 71 in your
textbook “A First Course in the Finite Element Method” by D. Logan. |
August 27 |
|
2 |
Verify the global stiffness matrix for a three-dimensional bar. Hint: First,
expand T* to a 6 x 6 square matrix, then expand 6 x 6 square matrix by adding the appropriate
rows and columns of zeros, and finally, perform the matrix triple product k = TT
|
September 8 |
|
3 |
Do problems 3.4, 3.10, 3.12, 3.15a,b, 3.18, 3.23, 3.37, 3.43, 3.48, 3.50,
and 3.55 on pages 146-165 in your textbook “A First Course
in the Finite Element Method” by D. Logan. |
September 8 |
|
4 |
Use SAP2000 and solve problems 3.63 and 3.67. |
September 15 |
|
5 |
Do problem B.9 on pages 866 in your textbook “A First Course in the
Finite Element Method” by D. Logan. |
September 15 |
|
6 |
Solve the
following truss problems: a 15-bar truss;
a 25-bar truss; and a
72-bar truss. You may use SAP2000 to do truss analysis. |
September 15 |
|
7 |
Verify the four beam
element equations are contained in the following matrix expression.
 |
September 24 |
|
8 |
Do problems 4.7, 4.11, 4.18, 4.22, 4.40 and 4.47 on
pages 225-234 in
your textbook “A First Course in the Finite Element Method” by D. Logan |
September 24 |
|
9 |
Work problem 4.22
(on page 229 in your textbook “A First Course in the Finite Element Method”
by D. Logan) using the SAP2000 analysis system (you may used any available
structural analysis software system). Start with one element and increase
the number of beam elements until you get good agreement with the exact
solution. Plot you results for each discretization to the exact solution.
How many elements are enough to accurately model this problem? |
September 24 |
|
10 |
Work problem 4.34 (on page 231 in your textbook “A First Course in
the Finite Element Method” by D. Logan) using the SAP2000. Attempt to select
the lightest standard W section to support the loads for the beam. The
bending stress must not exceed 160 MPa. |
September 24 |
|
11 |
Do problems 5.1, 5.8, 5.13, 5.28, and 5.51
on pages 299 - 327 in your textbook “A First Course in the Finite Element
Method” by D. Logan. |
October 1 |
|
12 |
Do problems 5.20, 5.23, 5.25, 5.35, and 5.53
on pages 299 - 327 in your textbook “A First Course in the Finite Element
Method” by D. Logan. You may use the SAP2000 to do frame analysis. |
October 1 |
|
13 |
Do problems 6.6a, 6.6c, 6.7, 6.9a-c, 6.11,
and 6.13 on pages 377 - 383 in your textbook “A First Course in the
Finite Element Method” by D. Logan. |
October 15 |
|
14 |
Rework the plane stress problem given on page 356 in your textbook “A First
Course in the Finite Element Method” by D. Logan using
Brower's MATLAB
code to do
analysis. Start with the simple two element model. Continuously refine your
discretization by a factor of two each time until your FEM solution is in
agreement with the exact solution for both displacements and stress. How
many elements did you need? |
October 15 |
| 15 |
Do problems 7.2, 7.3, and 7.4 on pages 420 - 436 in
your textbook “A First Course in the Finite Element Method” by D. Logan. |
October 22 |
| 16 |
Work problems 7.13, 7.16, and 7.22 on pages 420 -
436 in your textbook “A First Course in the Finite Element Method” by D.
Logan using
Brower's MATLAB code. |
October 22 |
| 17 |
Do problems 8.3, 8.5, and 8.7 on pages 449 - 451 in
your textbook “A First Course in the Finite Element Method” by D. Logan. |
October 27 |
| 18 |
Do problems 9.2, 9.3, and 9.5 on pages 476 - 485 in
your textbook “A First Course in the Finite Element Method” by D. Logan. |
November 10 |
| 19 |
Do problems 12.1 and 12.5 on pages 590 - 598 in your textbook
“A First Course in the Finite Element Method” by D. Logan using SAP2000. |
November 12 |
| 20 |
Do problems 16.5 and 16.11c on pages 824-828 in your textbook
“A First Course in the Finite Element Method” by D. Logan. |
November 24 |
| 21 |
Do problems 16.14 and 16.16 on pages 824-828 in your textbook
“A First Course in the Finite Element Method” by D. Logan using SAP2000. |
November 24 |
