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 threedimensional 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 = T^{T}

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 15bar truss;
a 25bar truss; and a
72bar 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, 6.10ac, 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
