Method of joints & forces between joints

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SUMMARY

The discussion focuses on applying the method of joints to analyze forces in a truss bridge with loads applied between the joints. Participants emphasize the challenge of calculating forces that do not act directly through the joints, necessitating a vertical force equilibrium equation. The assumption is made that each member is in pure tension or compression, with no deflection or bending moments. The key takeaway is the need to accurately model the reactions at joints to ensure proper force transmission through the truss members.

PREREQUISITES
  • Understanding of the method of joints in structural analysis
  • Knowledge of truss bridge design principles
  • Familiarity with vertical force equilibrium equations
  • Basic concepts of tension and compression in structural members
NEXT STEPS
  • Study the derivation of vertical force equilibrium equations in truss analysis
  • Learn about the assumptions in static equilibrium for truss structures
  • Explore advanced methods for analyzing non-joint loads in truss systems
  • Investigate software tools for simulating truss behavior under various loading conditions
USEFUL FOR

Structural engineers, civil engineering students, and anyone involved in the design and analysis of truss bridges will benefit from this discussion.

Shakarri
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Part of my assignment is to find the stresses in each member of a truss bridge, but unlike the problems I have been taught before, this involves a load between the joints of the bridge. Me and my group are using the method of joints to find the forces acting through each member, the problem is that there are forces that do not act through the joints so we cannot sum them so easily. I would like to know how to set up an equation describing the vertical force on the joints beside the force.
I attached an image which should help make sense of my query. We are meant to assume that each member is in pure tension or compression i.e. there is no deflection or bending moments.
 

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If the members can sustain no deflections and the joints cannot experience bending moments, then all that can be done is to write an equation for vertical force equilibrium involving the joints on either side of the applied load. The reactions due to the loads must then be transmitted into whatever members meet at a particular joint.
 

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