CE 121 - Advanced Structural Analysis
Homework 7
Filip C. Filippou
Problem 1
Set up the compatibility relations between element deformation and free global degree-offreedom displacements in the form V = A f U f . Show that the compatibility matrix A f is
University of California, Berkeley Spring Semester 2009
Dept. of Civil and Environmental Engineering
CE 121 Advanced Structural Analysis Homework Set #7 (due Mar. 20, 2009) 1. Problem (5 points) The truss model in the following figure is the same as the m
UNIVERSITY OF CALIFORNIA, BERKELEY Spring Semester 2009
Dept. of Civil and Environmental Engineering
CE 121 Advanced Structural Analysis
Homework Set #2 (due Feb. 6, 2009)
1. Problem (10 points)
12
1 a 2 b 3 c 4
15
d
5
10
10
5
10
2.5 1 a 2 b 3 c 4 d 5
The
UNIVERSITY OF CALIFORNIA, BERKELEY Spring Semester 2008
Dept. of Civil and Environmental Engineering Instructor: Filip C. Filippou
CE 121 Advanced Structural Analysis
Homework Set #6 (due March 7, 2008)
1. Problem (5 points) Determine the deformed shape o
UNIVERSITY OF CALIFORNIA, BERKELEY Spring Semester 2008
Dept. of Civil and Environmental Engineering Instructor: Filip C. Filippou
CE 121 Advanced Structural Analysis
Homework Set #5 (due Feb. 29, 2008)
1. Problem (10 points)
30 30 2 b 3 c 4
30 2 b
30
UNIVERSITY OF CALIFORNIA, BERKELEY Spring Semester 2008
Dept. of Civil and Environmental Engineering Instructor: Filip C. Filippou
CE 121 Advanced Structural Analysis
Homework Set #4 (due Feb. 22, 2008)
1. Problem (7 points)
4
d w=5 1 a 8
c
6
2
b 8
3
The
UNIVERSITY OF CALIFORNIA, BERKELEY Spring Semester 2008
Dept. of Civil and Environmental Engineering Instructor: Filip C. Filippou
CE 121 Advanced Structural Analysis
Homework Set #3 (due Feb. 15, 2008)
1. Problem (5 points)
w = 10 2 b w = 10 3 c 4
a d 6
UNIVERSITY OF CALIFORNIA, BERKELEY
Spring Semester 2015
Dept. of Civil and Environmental Engineering
Instructor: Filip C. Filippou
CE 121 - Advanced Structural Analysis
Solution for Homework Set #9
1. Problem
The truss structure in Fig. 2 is subjected to
UNIVERSITY OF CALIFORNIA, BERKELEY Spring Semester 2008
Dept. of Civil and Environmental Engineering Instructor: Filip C. Filippou
CE 121 Advanced Structural Analysis
Homework Set #2 (due Feb. 8, 2008)
1. Problem (5 points)
12
1 a 2 b 3 c 4
15
d
5
10
10
5
UNIVERSITY OF CALIFORNIA, BERKELEY Spring Semester 2008
Dept. of Civil and Environmental Engineering Instructor: Filip C. Filippou
CE 121 Advanced Structural Analysis
Homework Set #1 (due Feb. 4, 2008)
1. Problem (5 points)
4 8 4
10 6
7
15 7
10 5
11 6
8
4
UNIVERSITY OF CALIFORNIA, BERKELEY Spring Semester 2008
Dept. of Civil and Environmental Engineering Instructor: Filip C. Filippou
CE 121 Advanced Structural Analysis
Homework Set #14 (due May 9, 2008)
1. Problem (2 points) For the structure in the figure
UNIVERSITY OF CALIFORNIA, BERKELEY Spring Semester 2008
Dept. of Civil and Environmental Engineering Instructor: Filip C. Filippou
CE 121 Advanced Structural Analysis
Homework Set #13 (due May 2, 2008)
1. Problem (7 points) The two span continuous beam in
UNIVERSITY OF CALIFORNIA, BERKELEY Spring Semester 2008
Dept. of Civil and Environmental Engineering Instructor: Filip C. Filippou
CE 121 Advanced Structural Analysis
Homework Set #12 (due April 25, 2008)
1. Problem (10 points) The truss structure in the
UNIVERSITY OF CALIFORNIA, BERKELEY Spring Semester 2008
Dept. of Civil and Environmental Engineering Instructor: Filip C. Filippou
CE 121 Advanced Structural Analysis
Homework Set #11 (due April 18, 2008)
1. Problem (10 points) The degree of static indete
UNIVERSITY OF CALIFORNIA, BERKELEY Spring Semester 2008
Dept. of Civil and Environmental Engineering Instructor: Filip C. Filippou
CE 121 Advanced Structural Analysis
Homework Set #8 (due March 21, 2008)
1. Problem (5 points) The deformations of the stati
UNIVERSITY OF CALIFORNIA, BERKELEY Spring Semester 2008
Dept. of Civil and Environmental Engineering Instructor: Filip C. Filippou
CE 121 Advanced Structural Analysis
Homework Set #9 (due April 4, 2008)
1. Problem (5 points) The truss model in the followi
UNIVERSITY OF CALIFORNIA, BERKELEY Spring Semester 2008
Dept. of Civil and Environmental Engineering Instructor: Filip C. Filippou
CE 121 Advanced Structural Analysis
Homework Set #10 (due April 11, 2008)
1. Problem (10 points) The truss structure in the
UNIVERSITY OF CALIFORNIA, BERKELEY
Spring Semester 2015
Dept. of Civil and Environmental Engineering
Instructor: Filip C. Filippou
CE 121 - Advanced Structural Analysis
Solution for Homework Set #1
1. Problem
The parabolic arch on simple supports in Fig.
UNIVERSITY OF CALIFORNIA, BERKELEY
Spring Semester 2015
Dept. of Civil and Environmental Engineering
Instructor: Filip C. Filippou
CE 121 - Advanced Structural Analysis
Solution for Homework Set #10
1. Problem
Fig. 1 shows a simple truss consisting of fou
UNIVERSITY OF CALIFORNIA, BERKELEY
Spring Semester 2015
Dept. of Civil and Environmental Engineering
Instructor: Filip C. Filippou
CE 121 - Advanced Structural Analysis
Solution for Homework Set #8
1. Problem
Fig. 1 shows a braced frame.
6
1
8
8
Figure 1:
UNIVERSITY OF CALIFORNIA, BERKELEY
Spring Semester 2015
Dept. of Civil and Environmental Engineering
Instructor: Filip C. Filippou
CE 121 - Advanced Structural Analysis
Solution for Homework Set #4
1. Problem
The frame in Fig. 1(a) has 8 free dofs and 8 b
UNIVERSITY OF CALIFORNIA, BERKELEY
Spring Semester 2015
Dept. of Civil and Environmental Engineering
Instructor: Filip C. Filippou
CE 121 - Advanced Structural Analysis
Solution for Homework Set #7
1. Problem
Elements a through d of the structural model i
UNIVERSITY OF CALIFORNIA, BERKELEY
Spring Semester 2015
Dept. of Civil and Environmental Engineering
Instructor: Filip C. Filippou
CE 121 - Advanced Structural Analysis
Solution for Homework Set #3
1. Problem
The girder over two spans in Fig. 1 consists o
UNIVERSITY OF CALIFORNIA, BERKELEY
Spring Semester 2015
Dept. of Civil and Environmental Engineering
Instructor: Filip C. Filippou
CE 121 - Advanced Structural Analysis
Solution for Homework Set #6
1. Problem
Fig. 1 shows a Howe truss with span of 120 len
UNIVERSITY OF CALIFORNIA, BERKELEY
Spring Semester 2015
Dept. of Civil and Environmental Engineering
Instructor: Filip C. Filippou
CE 121 - Advanced Structural Analysis
Solution for Homework Set #5
1. Problem
Fig. 1 shows four basic beam structural models
UNIVERSITY OF CALIFORNIA, BERKELEY
Spring Semester 2015
Dept. of Civil and Environmental Engineering
Instructor: Filip C. Filippou
CE 121 - Advanced Structural Analysis
Solution for Homework Set #2
1. Problem
Fig. 1 shows the structural model for the thre
UNIVERSITY OF CALIFORNIA, BERKELEY Spring Semester 2008
Dept. of Civil and Environmental Engineering Instructor: Filip C. Filippou
CE 121 Advanced Structural Analysis
Homework Set #14 (due May 9, 2008)
1. Problem (2 points) For the structure in the figure
UNIVERSITY OF CALIFORNIA, BERKELEY Spring Semester 2008
Dept. of Civil and Environmental Engineering Instructor: Filip C. Filippou
CE 121 Advanced Structural Analysis
Homework Set #13 (due May 2, 2008)
1. Problem (7 points) The two span continuous beam in
UNIVERSITY OF CALIFORNIA, BERKELEY Spring Semester 2008
Dept. of Civil and Environmental Engineering Instructor: Filip C. Filippou
CE 121 Advanced Structural Analysis
Homework Set #12 (due April 25, 2008)
1. Problem (10 points) The truss structure in the