1
UNIVERSITY OF CALIFORNIA, BERKELEY
Dept. of Civil and Environmental Engineering
Spring Semester 2008
Instructor: Filip C. Filippou
CE 121 – Advanced Structural Analysis
Homework Set #1 (due Feb. 4, 2008)
1.
Problem (5 points)
1
2
3
4
5
6
7
1
2
3
4
5
6
7
10
11
8
9
8
8
8
4
4
8
4
10
15
You are asked to determine the internal forces and support reactions for the truss in the figure.
To do so, proceed as follows:
1.
Set up the equilibrium equations at all free degrees of freedom (dof's). There should be as
many equilibrium equations as unknown basic element forces. Write the equations down in
the form
=
f
f
B
P
Q
, where
f
P
is the applied force vector,
f
B
is the equilibrium matrix for
the free dof's and
Q
is the basic element force vector.
2.
Use Mathcad or Matlab to solve for the unknown basic element forces
Q
by solving the
linear system of equations.
3.
Use the equilibrium equations at the restrained dof's to determine the support reactions
R
.
4.
Make a clear sketch of the free body of the entire structural model and check global
equilibrium.

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Homework 1
CE 121 - Advanced Structural Analysis
Filip C. Filippou
Homework 1, Problem 1
Numbering of global degrees of freedom
1
2
3
4
5
6
7
1
2
3
4
5
6
7
10
11
8
9
1
2
3
4
5
6
7
8
9
10
11
12
13
14
Length of inclined elements
L
5
4
2
8
2
+
:=
L
5
8.944
=
L
6
4
2
8
2
+
:=
L
6
8.944
=
L
8
4
2
8
2
+
:=
L
8
8.944
=
L
9
4
2
8
2
+
:=
L
9
8.944
=
L
10
12
2
12
2
+
:=
L
10
16.971
=
L
11
12
2
12
2
+
:=
L
11
16.971
=
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