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 #7 (due March 14, 2008)
1.
Problem (5 points)
Set up the compatibility relations between element deformation and free global degreeof
freedom displacements in the form
f
f
=
A
VU
. Show that the compatibility matrix
f
A
is equal
to the transpose of the equilibrium matrix
f
B
.
4
4
3
3
a
b
c
d
e
1
2
3
4
Assume now that elements b and c are delivered longer than shown in the above figure: element
b by 0.1 and element c by 0.2 units of length. Elements a and e are delivered with the required
length. What should be the length of member d so as to avoid stresses due to restraint?
Suppose that you were given all element lengths and corresponding deformation values from the
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 Fall '09
 filippou
 Environmental Engineering, Deformation, ADVANCED STRUCTURAL ANALYSIS, negligible axial deformations, global degreeoffreedom displacements

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