Torque on lead screw based on psi

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SUMMARY

The discussion centers on calculating the torque required to generate at least 1.5 psi in a syringe using a lead screw in a CNC machine setup. The user is constructing a syringe mechanism with one-way valves and has determined that the axial torque needed is approximately 0.184 kg*cm using a square lead screw for efficiency. Accurate results depend on knowing friction values for both the lead screw and the plunger, which can be obtained experimentally. The user plans to utilize a stepper motor controlled by an Arduino for precise fluid displacement.

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  • Understanding of lead screw mechanics and equations
  • Knowledge of torque calculations and their application in fluid systems
  • Familiarity with friction coefficients for materials such as silicone and polyethylene
  • Experience with stepper motors and Arduino programming
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  • Research lead screw mechanics and torque calculations in detail
  • Learn how to experimentally determine friction coefficients for various materials
  • Explore stepper motor control techniques using Arduino
  • Investigate methods for accurate pressure measurement in fluid systems
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Engineers, hobbyists, and developers involved in CNC machine design, fluid dispensing systems, and those seeking to optimize mechanical torque calculations in their projects.

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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