| Assignment |
Description |
Date
Assigned |
| 1 |
Do problems 2.4,
2.10, and 2.22
in your textbook
|
August 30
|
| 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 5
|
| 3a |
Do problems 3.4, 3.10, 3.12, 3.15a,b, 3.18, 3.23, 3.37, 3.43,
and 3.48 in your textbook
|
September 10
|
| 3b |
Do problems
3.50,
and 3.55 in your textbook
|
September 12
|
| 4 |
Use SAP2000 and solve problems 3.63 and 3.67. |
September 12
|
| 5 |
Do problem B.9
in your textbook |
September 12
|
| 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 12
|
| 7 |
Verify the four beam element
equations are contained in the
following matrix expression.
 |
September 24
|
| 8 |
Do problems 4.10, 4.12,
4.18, 4.22, 4.40, and 4.47 in
your textbook |
September 24
|
| 9 |
Work problem 4.36 in
your textbook
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 and the allowable deflection
must not
exceed (L = 6 m)/360 |
September 24
|
| 10 |
Do problems 5.1, 5.7, 5.15, 5.28, and 5.51
in your textbook. |
October 1
|
| 11 |
Do problems 5.20, 5.23, 5.25, 5.35, and 5.53
in your textbook. You may use the SAP2000 to do frame analysis. |
October 3
|
| 12 |
Do problems 6.6a, 6.6c, 6.7, 6.10a-c, 6.11,
and 6.13. |
October 10
|
| 13 |
Rework the plane stress problem
given on page 364 in your textbook using
either
FEM_2Dor3D_linelast_standard
from
Brower's MATLAB
code to do analysis or Camp's CST code.
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 10
|
| 14 |
Do problems 7.2,
7.3, and 7.4
in your textbook. |
October 17
|
| 15 |
Work problems 7.13,
7.16, and
7.22
in your textbook. -
Cancelled |
October 17
|
| 16 |
Work problems 8.3, 8.6,
and 8.7
in your textbook. |
October 22
|
| 17 |
Rework the plane stress problem
given on page 364 and 6.13
in your textbook using Camp's
LST code.
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 22
|
| 18 |
Work problems 9.2,
9.3, and
9.5 in your textbook. |
October 31
|
| 19 |
Work 9.16 your textbook using Camp's
axisymmetric CST code.
|
October 31
|
| 20 |
Work problems 10.1,
10.6a, 10.8,
10.15dg, and
10.17b in your textbook. |
November 7
|
| 21 |
Write a computer program to
evaluation of the [k] stiffness
matrix for the Q4 element by
Gaussian quadrature (click
here for an Excel
file containing some 1 to 7 Gauss
points). Check your
stiffness matrix values with the
Example 10.4 in the textbook. In
addition, develop your code in such
a way that it could be easily
extended to the Q8, Q9, and Q12
elements. |
November 7
|
| 22 |
Work problems 12.1
and 12.5 in your
textbook using SAP2000. |
November 14
|
| 23 |
Work problems 16.6
and 16.11c in your
textbook. |
November 28
|
| 24 |
Work problems 16.14
and 16.16 in your
textbook using SAP2000. |
November 28
|
| 25 |
Work problems 11.1,
11.3, 11.6a,
and 11.9 in your
textbook. |
November 30
|
| 26 |
Use solid elements in SAP2000 to
solve problem 11.14
in your textbook. |
November 30
|
