Static equilibrium, tension and compression

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SUMMARY

The discussion focuses on analyzing a static equilibrium problem involving a light truss with three struts subjected to a downward force of 1,330 N at point B. The contact forces calculated are 491 N on the left side and 839 N on the right side. The problem requires determining the tension or compression in the three beams using net torque and lever arm calculations based on angles of 29.5 degrees and 44.0 degrees. The absence of a visual figure complicates the solution process, as participants struggle to visualize the forces involved.

PREREQUISITES
  • Understanding of static equilibrium principles
  • Knowledge of truss structures and their mechanics
  • Familiarity with torque calculations and lever arms
  • Ability to resolve forces into components
NEXT STEPS
  • Study the method of joints in truss analysis
  • Learn about calculating tension and compression in structural members
  • Explore the use of free body diagrams for static equilibrium problems
  • Investigate the effects of angle on force distribution in trusses
USEFUL FOR

Students in engineering mechanics, structural engineers, and anyone involved in analyzing truss systems and static equilibrium problems.

Dietrichw
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Homework Statement


The figure below shows a light truss formed from three struts lying in a plane and joined by three smooth hinge pins at their ends. The truss supports a downward force of
Farrowbold.gif
= 1 330 N applied at the point B. The truss has negligible weight. The piers at A and C are smooth.

The beams make a triangular bridge over a gap without friction at the joints or contact points to simplify it

For part A the Theta on the left is 29.5 and the right is 44.0, Find the contact forces on each side of the gap. I've done this.
The contact force on the left side is 491N
Right side is 839

For part B it asks for the tension or compression of the three beams.

Homework Equations


Net torque for part A and using h/tan(theta) for the lever arms since lengths were not given

The Attempt at a Solution


[/B]
I've tried looking at the vector component that is in line with the right side and that does not work. I tried the same with adding the part of the contact force that acts on the right beam. I though about net force but there aren't any in the x direction
 
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No figure was attached. :frown:
 
SteamKing said:
No figure was attached. :frown:
sorry, forgot
V5Oh3Qh.png
 

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