UNIVERSITY OF ILLINOIS AT URBANA-CHAMPAIGN
College of Engineering
CEE-361 Methods of Structural Analysis
Solutions for Homework #12:
Problem #1
v1
v = a1 + a2x + a3x2 + a4x3 + a5x4
dv
= z = a2 + 2a3x + 3a4x2 + 4a5x3
dx
v3
v2
2
1
x
L
Evaluate v at v1, v2 &
UNIVERSITY OF ILLINOIS AT URBANA-CHAMPAIGN
College of Engineering
CEE-361 Methods of Structural Analysis
Solutions for Homework #11:
Problem #1
Draw a separate virtual displacement for each reaction
dW
dW
dva
= Pya dVa - P(1 - L1/L) dVa = 0
= [Pya - P(1 -
.
Part1 Stiffness matrices of all members
Using the general expression for a ZD truss member stiffness matrix in Eocai coordinates and the
transformation matrix [T] (L in meters):
1 O -1 0 c -s 0 0
[Kllocal = ENL 0 0 O O [T] = 5 c O 0
-1 0
UNIVERSITY OF ILLINOIS AT URBANA-CHAMPAIGN
College of Engineering
CEE361 Methods of Structural Analysis
Solutions for Homework #5
1)
Node Coordinates :
y
2
E
5
1
A (0,0,4)
B (3,0,4)
C (3,0,0)
4
F
3
D (0,0,0)
E (1,2,2)
F (2,2,2)
6
Member Lengths :
D
x
C
A
UNIVERSITY OF ILLINOIS AT URBANA-CHAMPAIGN
College of Engineering
GEE-361 Methods of Structural Analysis
Solutions for Homework #2:
Problem #1 Structure A (frame):
7//}
Sketch 2
Problem #1 Structure B (frame):
Sketch 3
Sketch 4
V/A
97/