- #1
yaro99
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Homework Statement
Homework Equations
ƩF_y=0
ƩF_x=0
ƩM=0
The Attempt at a Solution
The weight of the wire is 500*16=8000lb
I isolated each part of the system:
Using a force triangle on the cross section of the wire, knowing it is a 345 triangle:
8000/4=B/3=D/5
B=6 kips
D=10 kips
I wrote equations for members ABC and CDE:
for ABC:
ƩMA = 6*d1 + 9*Cx = 0
for CDE:
ƩME = 10*d2 - 6*Cx + 8*Cy = 0
d1 and d2 are the vertical distance from A to B, and the diagonal distance from D to E, respectively. This is what I had trouble finding.
I tried using similar triangles:
5/8 = a/10 = (3+b)/6
b=0.75ft
d2=6.25ft
Since b is 0.75, d1 = 9 - 6 + 1.5 + 0.75 = 5.25ft
Plugging these into the above equations, I get Cx = 3.5kips, and Cy = 10.4 kips, which are not the right answers.