Solving Horizontal Beam & Cable System: F, W & T1, T2

Click For Summary
SUMMARY

The discussion focuses on solving a static equilibrium problem involving a uniform horizontal beam supported by cables and a vertical force. Given the forces W = 1 kN and F = 4 kN, participants calculated the tensions T1 and T2 in cables BD and BE, respectively. The solution required careful consideration of the forces in three dimensions and the correct application of equilibrium equations. Ultimately, the user successfully solved the problem and gained confidence in tackling additional 3D statics problems.

PREREQUISITES
  • Understanding of static equilibrium principles
  • Knowledge of tension forces in cables
  • Familiarity with 3D vector analysis
  • Ability to apply equilibrium equations in multiple dimensions
NEXT STEPS
  • Study the method of joints in 3D statics
  • Learn about vector decomposition in three dimensions
  • Explore the use of free body diagrams for complex structures
  • Investigate the principles of geometric scaling in tension problems
USEFUL FOR

Students of engineering mechanics, structural engineers, and anyone involved in analyzing static systems with multiple forces and supports.

Femme_physics
Gold Member
Messages
2,548
Reaction score
1

Homework Statement



http://img864.imageshack.us/img864/8066/graspcc.jpg

the uniform horizontal beam AC, is held at tip A by a circular joint, and at point B it's held by 2 cables, BD and BE, as described in the drawing. At tip C of the beam acts a vertical force, F:

Given

W = 1 [kN]
F = 4 [kN]

Calculate the forces acting on the cables BE and BD and the reaction force at joint A.

Ignore the cables weight.

The Attempt at a Solution



I get stuck at finding T1 and T2, where the 2 eq 2 unknowns cancel each other out

http://img807.imageshack.us/img807/6979/20031xx.jpg

http://img842.imageshack.us/img842/4901/20032xx.jpg
 
Last edited by a moderator:
Physics news on Phys.org
points D,E are in plane of A or something else?
EDIT: ok ... i got it from your solution :)
 
Good morning, Fp! :smile:

Say, that a sexy problem! :blushing:

So you have 2 threads keeping that humongous thing up.
But somehow the forces in these 2 threads cancel out? :confused:

How about checking your visual cues?
 
Hi ILS :smile:

You're right! I confused the signs on sigma Fy. But, I'm still off with the solution manual when it comes to T1 and T2. I equals 8.something [kN] I got

http://img21.imageshack.us/img21/7365/6364k.jpg

But all my A's are correct for the record :approve:
 
Last edited by a moderator:
Did you consider all 3 dimensions?

Otherwise it may yet fall! :eek:
 
Why not consider a geometrical approach? You have the relative proportions for the tensions in the x,y,z directions. Since you've already solved for one of the components, you can scale for the rest accordingly.
 
I like Serena said:
Did you consider all 3 dimensions?

Otherwise it may yet fall! :eek:


Thanks, solved it! :smile: And, after that, I solved 5 more 3D statics problem without a hitch! I think I'm getting the hang of it :biggrin:

Why not consider a geometrical approach? You have the relative proportions for the tensions in the x,y,z directions. Since you've already solved for one of the components, you can scale for the rest accordingly.

Yep, always an option :smile: thank you.
 
Femme_physics said:
Thanks, solved it! :smile: And, after that, I solved 5 more 3D statics problem without a hitch! I think I'm getting the hang of it :biggrin:

Good! :smile:
 

Similar threads

Replies
2
Views
1K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 9 ·
Replies
9
Views
5K
  • · Replies 5 ·
Replies
5
Views
5K
  • · Replies 4 ·
Replies
4
Views
9K
  • · Replies 1 ·
Replies
1
Views
3K
  • · Replies 7 ·
Replies
7
Views
4K
Replies
4
Views
5K
  • · Replies 3 ·
Replies
3
Views
3K
  • · Replies 6 ·
Replies
6
Views
2K