Bridge truss Static Equilibrium

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SUMMARY

The discussion focuses on calculating the forces of tension and compression in a bridge truss structure, specifically for components T_AC and T_CE, given a span of 214 meters and an angle θ of 35°. The solution involves applying Lami's Theorem and the method of joints to determine the horizontal component of the force in member AB, leading to the conclusion that T_AC equals T_AB multiplied by the cosine of 35 degrees. This method effectively simplifies the analysis of forces in truss structures.

PREREQUISITES
  • Understanding of Lami's Theorem
  • Familiarity with the method of joints in truss analysis
  • Basic knowledge of static equilibrium principles
  • Ability to perform trigonometric calculations
NEXT STEPS
  • Study the application of Lami's Theorem in various structural scenarios
  • Learn advanced techniques in truss analysis, including the method of sections
  • Explore the effects of thermal expansion on bridge structures
  • Investigate the design considerations for pin-jointed trusses
USEFUL FOR

Structural engineers, civil engineering students, and professionals involved in bridge design and analysis will benefit from this discussion.

pegasus24
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Homework Statement


A bridge truss extends x = 214 m across a river (Fig. P12.68) where θ = 35°. The structure is free to slide horizontally to permit thermal expansion. The structural components are connected by pin joints, and the masses of the bars are small compared with the mass of a 1270 kg car at the center. Calculate the force of tension or compression in each structural component.

Homework Equations


Lami's Theorem
A/sin a = B/sin b = C/sin c

The Attempt at a Solution


I found the forces in most of the members except T_AC and T_CE.
How do i find the force? Should I use moment equation? Is so how should I apply it?
 

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If you have correctly solved for the force in AB, then T_AC is just the horizontal component of the force in AB. Use the method of joints.

Welcome to PF!:smile:
 
PhanthomJay said:
If you have correctly solved for the force in AB, then T_AC is just the horizontal component of the force in AB. Use the method of joints.

Welcome to PF!:smile:

Thanks a lot.. I got it right now.. T_AC = T_AB cos 35
 

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