Symbolic relationship between the input and output load

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SUMMARY

The discussion focuses on determining the symbolic relationship between the input load and the output load in a loading bar system connected by a pin. The key equations utilized include the Free Body Diagram and the equilibrium equation ∑Fy = 0, which leads to the conclusion that the input load equals the effective load plus the pin force in the y direction. The concept of treating the loading bar as a lever is also suggested to aid in understanding the relationship. This analysis is crucial for accurately modeling forces in mechanical systems.

PREREQUISITES
  • Understanding of Free Body Diagrams
  • Knowledge of static equilibrium equations
  • Familiarity with lever mechanics
  • Basic principles of force analysis in mechanical systems
NEXT STEPS
  • Study the principles of static equilibrium in mechanical systems
  • Explore the application of levers in force distribution
  • Learn about advanced Free Body Diagram techniques
  • Investigate the effects of pin connections on load distribution
USEFUL FOR

Mechanical engineering students, physics learners, and professionals involved in structural analysis and load calculations will benefit from this discussion.

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Homework Statement


A testing device has the applied load located at the end of a loading bar. The loading bar is connected by a pin to the post. Find the symbolic relationship between the applied load(the "input" load) and the effective load applied the specimen(the "output" load).

Homework Equations


Free Body Diagram
∑Fy = 0
∑Fy = Fs + Piny - P = 0

The Attempt at a Solution


So I drew a free body diagram of the loading bar, but I'm not sure if it's correct. I tried to think about what the relationship might be, but all I can see from my diagram is that the input load is equal to the effective load + the pin force in the y direction. Any help with this would be appreciated!
IMG_0829.JPG
IMG_0827.JPG
 
Does it help if you consider the loading bar as a lever?
 

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