Torque on lead screw based on psi

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Discussion Overview

The discussion revolves around the calculation of torque required for a lead screw in a CNC machine to generate a specific pressure (1.5 psi) in a syringe system designed for precise fluid displacement. Participants explore the relationship between torque, axial force, and pressure, as well as the implications of friction in the system.

Discussion Character

  • Technical explanation
  • Mathematical reasoning
  • Experimental/applied

Main Points Raised

  • One participant describes the setup involving a lead screw and a syringe, seeking to determine the necessary torque to achieve a pressure of at least 1.5 psi.
  • Another participant notes the importance of considering the cross-section of the syringe when calculating the pressure generated by the screw's axial force.
  • Participants mention that friction values for both the screw and the plunger are critical for accurate calculations, suggesting that experimental determination of these values may be necessary.
  • One participant expresses confidence in their calculations using a square lead screw, reporting a torque value of .184 kg*cm, while another questions the source of data for plunger friction.
  • Concerns are raised about the difficulty of determining the normal force affecting the friction coefficient, with a suggestion that experimental methods may yield better accuracy.
  • There is mention of using a stepper motor for precise dosing, with one participant confirming the use of a stepper motor controlled by an Arduino.

Areas of Agreement / Disagreement

Participants express varying levels of confidence in their calculations and assumptions, particularly regarding friction and normal force. There is no consensus on the exact values needed for accurate torque calculations, and multiple viewpoints on the necessity of experimental validation remain evident.

Contextual Notes

Participants highlight limitations in their calculations due to unknown friction values and the complexities of determining normal force, which may affect the overall accuracy of their torque estimates.

Aaron Holwick
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So in a cnc machine, the screw that drives the x,y,z axiis are called "lead screws". I am constructing a machine that displences fluid at percise volumes. It will be essencially a seringe with one way valves coming in and going out. To open the "check valve" it requires at least 1.5 psi. If I am using a motor, with a lead screw to push down the plunger in the syringe, how much torque will I need to create 1.5+ psi in the syringe cylinder?
 
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From the threading of the screw you can calculate axial force from torque, but in order to know the value of pressure inside of the syringe, caused by that screw pushing the piston of the syringe, you have to take into account the cross-section of that syringe...
 
Lead screw equations can be found on Wikipedia (or a google search).
http://en.wikipedia.org/wiki/Leadscrew#Mechanics
If you don't know the friction values you won't get accurate results, that'll include the screw friction and the plunger friction. Getting theses values via experiment should be straight forward.
 
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billy_joule said:
Lead screw equations can be found on Wikipedia (or a google search).
http://en.wikipedia.org/wiki/Leadscrew#Mechanics
If you don't know the friction values you won't get accurate results, that'll include the screw friction and the plunger friction. Getting theses values via experiment should be straight forward.
Thanks billy for the link! I think I have it solved! I used the square lead screw because it seems the most efficient.. The axial torque seems to be .184 kg*cm.. Seems low but math doesn't lie! Hopefully it works..
 
where did you get data for plunger friction?
 
billy_joule said:
where did you get data for plunger friction?
Oh heck! I didn't factor that in! It'll just be silicone on polyethylene.. sound be easy to find.. :confused:
 
Finding a friction coefficient for those materials may be easy but getting the normal force will not be. Probably easier and more accurate to do it experimentally.
I'm guessing you are using a stepper motor to get accurate dosing? Or a motor with an encoder?
 
billy_joule said:
Finding a friction coefficient for those materials may be easy but getting the normal force will not be. Probably easier and more accurate to do it experimentally.
I'm guessing you are using a stepper motor to get accurate dosing? Or a motor with an encoder?
A stepper motor with an Arduino
 

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