A to C. WALL B 6 m WALL D 2 m 4 m 6 m 12 kN y A 3 m 3 т 5 т 5 т 25 kN
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Question
Assume the following equilibrium equations.
x-direction: − 0.65 ⋅ A C + 0.35 ⋅ A D = 0
y-direction: − 0.35 ⋅ A C − 0.45 ⋅ A D + 12 = 0
z-direction: A B + 0.65 ⋅ A C + 0.65 ⋅ A D − 25 = 0
a) Determine the tension in kN in cable AB. (Give your answer to 0 decimal places.)
b) Determine the tension in kN in cable AC. (Give your answer to 0 decimal places.)
c) Determine the tension in kN in cable AD. (Give your answer to 0 decimal places.)

Transcribed Image Text:3D Particle Equilibrium
Use the following information.
• The orange lines represent cables used to support the other forces.
• The red lines are the axes.
• The blue lines are used to show distances of the points.
• The cables attach to the wall at points B, C, and D.
The weight acts vertically down.
Cable AB is also vertical with the distance from A to B being the same as the vertical height from
A to C.
WALL
B
6 m
WALL
D
2 m
4 т
6 m
----.
----
12 kN
3 т
3 т
A
y
5 m
5 т
25 kN
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