Calculating Forces on Scissors Lift Arms

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Discussion Overview

The discussion revolves around calculating the forces acting on the arms of a scissors lift, focusing on the mechanics involved in determining these forces and stresses at specific points. The context includes homework-related inquiries and technical calculations based on a provided force diagram.

Discussion Character

  • Homework-related
  • Technical explanation
  • Mathematical reasoning

Main Points Raised

  • The original poster seeks verification of their calculations regarding forces on the scissors lift arms, noting that they have attached a force diagram and previous calculations.
  • Some participants propose that the assumption of axial forces in the arms is incorrect and suggest that the poster should revise their calculations accordingly.
  • One participant indicates familiarity with the relationship between moment (M) and force (F), providing a formula that incorporates the weight of the arms and the angle alpha.
  • Another participant agrees with the formula provided for moment (M) but suggests defining the weight of each arm as W, leading to a modified expression for M.
  • A later reply introduces the principle of virtual work, suggesting that the sum of work done by the pivot is zero due to opposing forces of equal magnitude.

Areas of Agreement / Disagreement

Participants express differing views on the assumptions made regarding axial forces, and there is no consensus on the correctness of the original calculations. Multiple perspectives on the approach to solving the problem remain present.

Contextual Notes

Participants note the lack of dimensions for the arm segments and the need for clarity in the definitions used in the calculations. There are unresolved mathematical steps regarding the calculation of forces at specific points.

nabilishes
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Homework Statement


I need help in calculating the forces that act upon the arms of a scissors lift. Attached is the force diagramm and some calculations i made earlier. The calculation was made based on each arm

It would be nice if any of you could have a look and check whether the calculation are correct or perhaps i missed something out.

Thankss


Homework Equations





The Attempt at a Solution


solutions are in the attached picture
 

Attachments

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nabilishes: It seems you are assuming Fa, Fb, Fc, and Fd are axial forces in members 1 and 2, which is incorrect. You would need to quit making that assumption, and rewrite your solution. Also, you did not give the dimensions of each arm segment. Also, you can solve for M in terms of F and alpha.
 
Last edited:
For M and F, i already know how to solve that. If I'm not wrong
M=(F+(Warm/2)) / tan alpha

Say L= 0.5 m

i need to calculate the stress acting upon the pivot and the moving points C and A.
C and A is bolted to a slot, where when the mechanical actuator or hydraulic cylinder acts upon C, the scissors lift will the object. Attached is a picture of the slot

So how do i get the force acting on both points?
 

Attachments

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nabilishes: OK, do what is mentioned in the first two sentences of post 2. And also use your expression for M in post 3, which is correct. However, I prefer to define, W = self weight of each arm, in which case, M = (F + W)/tan(alpha). Show your work, and someone might check your math.
 
I made some additional reading at stumbled upon the principle of virtual work and came to a conclusion that there sum of the work done by the pivot is zero since both forces have the same magnitude but opposite in sign.

Thanks for the help.
 

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