1
UNIVERSITY OF CALIFORNIA, BERKELEY
Dept. of Civil and Environmental Engineering
Spring Semester 200
9
CE 121 – Advanced Structural Analysis
Homework Set #3 (due Feb. 1
3
, 200
9
)
1.
Problem (5 points)
4
4
6
1
2
3
4
w = 10
w = 10
a
b
c
d
1.
Number the global degrees of freedom (dof) without including the trivial equations with a
single unknown basic force whose value can therefore be determined by inspection.
2.
Set up the equilibrium equations in terms of the element forces
Q
and the equivalent nodal
forces due to the uniformly distributed element loading w = 10 units of force/unit of length.
3.
Solve the equilibrium equations for the basic forces
Q
.
4.
Determine the dependent element forces and draw the axial force, shear force, and bending
moment diagrams.
5.
Determine the support reactions and check global equilibrium.
6.
Return to question #2 above and separate the equilibrium equations into two groups: those
involving only end moments as basic forces and the axial force in the brace, and those that
also include the axial forces in column and girder. Solve the first group of equations for the
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 Fall '09
 filippou
 Force, Environmental Engineering, Equilibrium Equations, basic forces, axial forces

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