Statics: Equilibrium of Machines

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SUMMARY

The discussion focuses on the equilibrium analysis of a bolt cutter using Free Body Diagrams (FBDs). The user calculated the vertical reaction force at point B (By) to be -Q/4 lb and determined the magnitude of the load Q to be 12000 lb. An update highlighted an oversight regarding the Bx component during the moment calculation about point C, indicating that Bx is zero due to the equilibrium equations of member AB. This correction is crucial for accurate analysis in statics.

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The problem is stated in the picture. And I drew the FBDs of the top half of the bolt cutter, as shown in the second page:

Setting moment about A to be 0, I obtain -Q(1 in)-FBy*4 in=0
And By= -Q/4 lb

Then setting moment about C to be zero. I obtain
FBy(0.5 in)-20 in(75 lb)=0
Substitute in By, I get the magnitude of Q to be 12000 lb.

UPDATE: PICS
Problem:
http://img368.imageshack.us/img368/7535/1239zw.jpg
FBD's:
http://img368.imageshack.us/img368/431/22cm.jpg Am I correct?
 

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What was the problem then?, it looks good to me (the procedure, i didn't do the arithmetic).
 
The problem just seems...too easy...
 
I was checking the problem again you forgot the Bx component when you did moment about C, it does have a moment, and the lever arm for 75 about c is 19.5
 
AE is 2-force member (so the reaction at A is only Ay), so that Bx is actually zero (due to the equilibrium eqs of AB). Then you can solve the rest of them.
 
Last edited:

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