How to calculate toggle mechanisnm forces?

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SUMMARY

The discussion focuses on calculating the spreading force of a simple toggle mechanism with two equal-length arms hinged together. The mechanism features a pivot pin at one end and a sliding end that encounters a fixed stop. The user seeks an equation to determine the force along the plane when a perpendicular force is applied to the hinge, emphasizing that friction is not a consideration at this stage. The solution involves balancing torque forces across the pivot to derive the necessary calculations.

PREREQUISITES
  • Understanding of basic mechanics principles, specifically torque and force balance.
  • Familiarity with toggle mechanisms and their configurations.
  • Knowledge of hinge dynamics and their impact on force distribution.
  • Basic algebra for solving equations related to force and torque.
NEXT STEPS
  • Research the equations governing torque in mechanical systems.
  • Study the mechanics of toggle mechanisms in engineering literature.
  • Explore graphical methods for visualizing force distribution in hinged systems.
  • Investigate simulation tools for modeling mechanical forces, such as CAD software.
USEFUL FOR

Mechanical engineers, physics students, and anyone involved in designing or analyzing toggle mechanisms and their force dynamics.

Flint
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Hi,

This is not a homework question although I'll admit it could be.

I've searched everywhere trying to work out how to calculate the spreading force of a simple toggle mechanism.

I have a two equal length arms that are hinged together. One end is fixed on a pivot pin and the other can slide along a flat plane but is resisted by a fixed stop. The hinged arms are not quite in line and aligning them would increase their overall length. If I apply a force to the hinge, perpendicular to the base plane, what force along the plane will I get?

Is there an equation I can use? I don't need to consider friction in the pins or sliding surfaces just now.

Help!
 
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Need a picture. But in general, you usually solve this kind of problem by balancing the torque forces across the pivot.
 

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