Determine the magnitude of the vertical clamping force at E

  • #1
Moved from a technical forum, no template.
Problem: Determine the magnitude of the vertical clamping force at E in terms of the force P applied to the handle of the toggle clamp.
Picture:
media%2Fdad%2Fdad30f90-a6cb-4dd1-b40f-e2fc66b6ffbd%2Fphp7wuVlp.png

I separated the machine into different parts and tried using ΣFx=0, ΣFy=0, and ΣM=0, but I can't seem to get the equations to link up to each other. Any help?
 

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Answers and Replies

  • #2
Baluncore
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Welcome to PF.
I can't see the picture, server not found. Posted address is wrong. Drag and drop your image onto PF browser.
Is this a homework problem?
 
  • #3
Welcome to PF.
I can't see the picture, server not found. Posted address is wrong. Drag and drop your image onto PF browser.
Is this a homework problem?
Are you able to see the picture now? And yes this is a homework problem!
 
  • #4
Baluncore
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Yes.
 
  • #5
anorlunda
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I separated the machine into different parts and tried using ΣFx=0, ΣFy=0, and ΣM=0, but I can't seem to get the equations to link up to each other. Any help?
Show us your work. We need to see your attempt before the homework helpers help.
 
  • #6
Baluncore
Science Advisor
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First understand the mechanism. It is called an “over-centre” clamp.
Find and experiment with some locking pliers; https://en.wikipedia.org/wiki/Locking_pliers
Follow the over-center link to; https://en.wikipedia.org/wiki/Tipping_point_(physics)

Notice that as the point C passes through the straight line between B and D, the force multiplication will change sign and momentarily approach infinity.

You might solve the problem as an approximation.
The first step could be Force Cy = Force Py * 130mm / 18mm
The final step could be; Force Ey = Force Dx * 10mm / 70mm
The angle of the link vector B-C will translate the vertical component Cy into horizontal component Dx.
 
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