Statics: Equilibrium of Machines

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Discussion Overview

The discussion revolves around a statics problem involving the equilibrium of a bolt cutter, focusing on the free body diagrams (FBDs) and the calculations of forces and moments. Participants analyze the setup and calculations to determine the correctness of the approach taken.

Discussion Character

  • Technical explanation
  • Debate/contested
  • Mathematical reasoning

Main Points Raised

  • One participant presents a calculation for the force Q based on moments about points A and C, concluding with a value of 12000 lb.
  • Another participant expresses agreement with the procedure but does not verify the arithmetic.
  • A different participant questions the simplicity of the problem, suggesting it may be too straightforward.
  • Another participant points out a potential oversight regarding the Bx component when calculating moments about point C, indicating that it should have been included.
  • One participant asserts that AE is a two-force member, leading to the conclusion that Bx is zero, which influences the subsequent calculations.

Areas of Agreement / Disagreement

Participants express differing views on the completeness of the calculations, particularly regarding the inclusion of the Bx component. There is no consensus on the correctness of the initial calculations, and the discussion remains unresolved.

Contextual Notes

Participants note potential missing components in the calculations and the implications of treating AE as a two-force member, which may affect the overall analysis.

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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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