Statics problem - bridge made of 2 segments

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SUMMARY

The discussion focuses on solving a statics problem involving a bridge made of two identical segments, M and N, connected by rods at a 45° angle to the horizontal. The key equations used are the equilibrium equations: ƩFx = 0, ƩFy = 0, and ƩM = 0. The solution approach involves summing moments about the base of segment M to find vertical forces at the bases of both segments, followed by calculating axial forces in the rods as a truss system. The user expresses gratitude for the guidance received and indicates a willingness to return for further assistance if needed.

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  • Understanding of static equilibrium principles
  • Familiarity with truss analysis techniques
  • Knowledge of axial forces in structural elements
  • Ability to apply moment equations in statics
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  • Study the method of joints in truss analysis
  • Learn about calculating moments in static systems
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  • Review equilibrium equations in two-dimensional structures
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This discussion is beneficial for civil engineering students, structural engineers, and anyone involved in analyzing static structures and truss systems.

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Homework Statement


Bridge consist of two identical segments M and N connected by rods as shown in the picture. Each rod makes angle of 45° with the horizontal line.
Determine the axial forces in each rod due to the load P at point G.
[URL=http://imageshack.us/photo/my-images/266/62688168.jpg/][PLAIN]http://img266.imageshack.us/img266/2156/62688168.th.jpg[/URL][/PLAIN]


Homework Equations


ƩFx= 0
ƩFy= 0
ƩM= 0


The Attempt at a Solution


I have tried with cutting the bridge into 2 parts to get a result. But basically I am unable to solve the problem on my own. I think it somehow involves using moments.
I would be grateful for any help.
 
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Before splitting up the bridge into 2 sections, first sum moments about the base of M (at the top of the X) and apply equilibrium equation to solve for the vertical force at the base of N, then sum forces in y direction = 0 to solve for the vertical force at the base of M. The vert force at N divides equally to each rod at N, and the vert force at divides equally to each rod at M. Solve for the rod forces as a truss, noting that the rod forces must act axially along the long axis of the rods. Then split up the bridge and similarly solve for the uppermosts rods forces. Welome to these forums.
 
Thank you for helping me. I now will try solving it using your instructions.
If I get stuck again, I may be back with my attemps at solution and pleadings for more detailed help. :)
Thanks again
 

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