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### Question #: 13516

Question: Do you sell leadscrews and ballnuts that are 5 TPI? I'd like 0.001" per step, using a 200 steps/rev (1.8 degree) motor.

Current Solution

We sell leadscews and anti-backlash nuts at the moment. Ballnuts will be available from us in the future.

Specifically to your question, you want 0.001" resolution:

The formula: (we are looking for a minimum of 1000 steps per inch
steps = (motors steps)/(travel with one motor rotation)

steps = (200 natural motor steps) x (microsteps ) / 0.5" travel (1/2" leadscrew 10 TPI 5 Starts)

steps = 200 * microsteps / 0.5"

multiply both sides by 0.5":

steps * 0.5" = 200 * microsteps

divide both sides by 200:

(steps * 0.5") / 200 = microsteps

replace steps with 1000:

(1000 * 0.5") / 200 = microsteps

500 / 200 = microsteps

2.5 microsteps will provide .001"

I would recommend 4 microsteps (1/4 microstepping), so your formula will be as follows:

steps = steps/inch = (200 * 4) / 0.5" = 800 / 0.5" = 1600 steps/inch

Respond:

### Other Possible Solutions to this Question

• I need the calculation to determine the stepper motor torque to find the load that it can lift using a lead screw at 1/2" diameter with 13 TPI.

There are two main questions that we can answer with respect to motor torque and the mechanical advantage of lead screws, 1) What torque motor do you need to lift a particular weight, or 2) What maximum weight will my motor torque be able to lift.

This formula uses Newtons (N) as it's final unit. Use this with the included radius (R) to determine the torque. Newtons can easily be converted to lbs or ounces using online conversions.

Effort = Sf + (Load/(2 x pi x (R/p) x Se))

where:
p = pitch of the screw
Se = screw efficiency = Standard lead screw will be between 20% (.2) and 40% (.4)
Sf = static force. This is the force that is needed to start the movement. The number may be eliminated, but it is good to use a number in the 5 N to 20 N range.
Load = the expected load that the effort will need to carry (i.e., the router and the included axis assembly that the motor will need to lift)

This formula is based on the "law of the machine"

The final effort amount with its unit of newtons and R will be the torque. For example, if the effort comes to 100 N (newtons) and the R is .5 inches, then you can assume that the effort is 50 N-in since it would take twice the effort to turn form the one inch mark from the center of the shaft.

Example:

Load = 90 N (20.2 lbs)
R = 1 inch since that is the length from the center of the shaft that the motor is rated
p = 1 inch / 13 = .08 inches

Effort = 5 N + (90 N / (2 x 3.14 x (1 / .08) x .2))
Effort = 5 N + (90 N / (6.28 x 12.5 x .2))
Effort = 5 N + (90 N / (15.7))
Effort = 5 N + (5.73 N)
Effort = 10.7 N = 2.4 lbs = 38.4 oz-in

I am putting the oz-in on the end because the formula considers the distance from the center of the shaft to be one inch.

Therefore, a 425 oz-in motor would be able to lift a 20.2 lb Router with its accompanying assembly. If the assembly and router is heavier, plug in the numbers and determine the effort required.

With a bit of algebra, the formula can be rewritten to find the load:

Load = (Effort - Sf) x (2 x pi x (R/p) x Se)

Another formula that does not consider friction at all:

Effort = (Load x p) / (2 x pi x R)

Lets see if we get similar results:

Effort = (20 lb x .08 inches) / (2 x 3.14 x 1)
Effort = 1.6 / 6.28 = .255 lbs = 4.08 oz-in

The results from both formulas appear to be very small because a 13 TPI screw will have enormous mechanical advantage.

It is evident that the first formula that does consider friction that we are loosely estimating is far more conservative than the second formula. Either way, even the most conservative formula shows that the 425 oz-in motor will handle very large weights. If you are using a lead screw with only two turns per inch, .5 inch pitch, you can determine the requirements with the first formula.

Example for a 10 TPI 5 start (2 turns per inch) lead screw:

Load = 90 N (20.2 lbs)
R = 1 inch since that is the length from the center of the shaft that the motor is rated
p = 1 inch / 2 = .5 inches

Effort = 5 N + (90 N / (2 x 3.14 x (1 / .5) x .2))
Effort = 5 N + (90 N / (6.28 x 2 x .2))
Effort = 5 N + (90 N / (2.512))
Effort = 5 N + (35.83 N)
Effort = 40.828 N = 9.18 lbs = 146.88 oz-in

Customer Response:
thank you so much

how do i calculate torque of stepper motor if lead screw coupled to motor shaft and load applied by lead screw on plate is 100 kg by vertically

Pls

1m 16mmdiameter ball screws calculations

I need the calculation to determine the stepper motor torque to find the load that it can lift using a lead screw at 1/2" diameter with 13 TPI.

• I HAVE YOUR MACH3 USB BOB, DO YOU GUYS SELL A TORCH CONTROL RELAY CAN WIRE UP TO TURN MY PLASMA ON AND OFF HOW WOULD WIFE THAT TOO THIS BOB?

We do have a relay board that words like a standard relay.

Here is the URL of the relay board that we offer:

https://www.buildyourcnc.com/item/electronicsAndMotors-breakout-Relays-relay-board-250V-12A-5V

I HAVE YOUR MACH3 USB BOB, DO YOU GUYS SELL A TORCH CONTROL RELAY CAN WIRE UP TO TURN MY PLASMA ON AND OFF HOW WOULD WIFE THAT TOO THIS BOB?

• Building the 5x10 GreenBull, I went to install the ribs on the mid section of the gantry and you say in the video to skip a spot for the motor to sit, but I have 3 sections that are going to blank not just one like you show in the video. Do I skip more than one, am I missing ribs?

We apologize for the confusion! The current greenBull kit in the video is a 4' x 8' gB CNC machine, so we currently have a shorter Y-axis length, compared to the 5X/6X kits. However with the gB 5X you should skip every other section(or something similar so it is symmetrical), since we added the option for you to increase the number of ribs if you wish, but is not necessary for the CNC machine.

• I need the calculation to determine the stepper motor torque to find the load that it can withstand in horizontal position using a lead screw at 1/2" diameter with 13 TPI.

There are two main questions that we can answer with respect to motor torque and the mechanical advantage of lead screws, 1) What torque motor do you need to lift a particular weight, or 2) What maximum weight will my motor torque be able to lift.

This formula uses Newtons (N) as it's final unit. Use this with the included radius (R) to determine the torque. Newtons can easily be converted to lbs or ounces using online conversions.

Effort = Sf + (Load/(2 x pi x (R/p) x Se))

where:
p = pitch of the screw
Se = screw efficiency = Standard lead screw will be between 20% (.2) and 40% (.4)
Sf = static force. This is the force that is needed to start the movement. The number may be eliminated, but it is good to use a number in the 5 N to 20 N range.
Load = the expected load that the effort will need to carry (i.e., the router and the included axis assembly that the motor will need to lift)

This formula is based on the "law of the machine"

The final effort amount with its unit of newtons and R will be the torque. For example, if the effort comes to 100 N (newtons) and the R is .5 inches, then you can assume that the effort is 50 N-in since it would take twice the effort to turn form the one inch mark from the center of the shaft.

Example:

Load = 90 N (20.2 lbs)
R = 1 inch since that is the length from the center of the shaft that the motor is rated
p = 1 inch / 13 = .08 inches

Effort = 5 N + (90 N / (2 x 3.14 x (1 / .08) x .2))
Effort = 5 N + (90 N / (6.28 x 12.5 x .2))
Effort = 5 N + (90 N / (15.7))
Effort = 5 N + (5.73 N)
Effort = 10.7 N = 2.4 lbs = 38.4 oz-in

I am putting the oz-in on the end because the formula considers the distance from the center of the shaft to be one inch.

Therefore, a 425 oz-in motor would be able to lift a 20.2 lb Router with its accompanying assembly. If the assembly and router is heavier, plug in the numbers and determine the effort required.

With a bit of algebra, the formula can be rewritten to find the load:

Load = (Effort - Sf) x (2 x pi x (R/p) x Se)

Another formula that does not consider friction at all:

Effort = (Load x p) / (2 x pi x R)

Lets see if we get similar results:

Effort = (20 lb x .08 inches) / (2 x 3.14 x 1)
Effort = 1.6 / 6.28 = .255 lbs = 4.08 oz-in

The results from both formulas appear to be very small because a 13 TPI screw will have enormous mechanical advantage.

It is evident that the first formula that does consider friction that we are loosely estimating is far more conservative than the second formula. Either way, even the most conservative formula shows that the 425 oz-in motor will handle very large weights. If you are using a lead screw with only two turns per inch, .5 inch pitch, you can determine the requirements with the first formula.

Example for a 10 TPI 5 start (2 turns per inch) lead screw:

Load = 90 N (20.2 lbs)
R = 1 inch since that is the length from the center of the shaft that the motor is rated
p = 1 inch / 2 = .5 inches

Effort = 5 N + (90 N / (2 x 3.14 x (1 / .5) x .2))
Effort = 5 N + (90 N / (6.28 x 2 x .2))
Effort = 5 N + (90 N / (2.512))
Effort = 5 N + (35.83 N)
Effort = 40.828 N = 9.18 lbs = 146.88 oz-in

Customer Response:
thank you so much

how do i calculate torque of stepper motor if lead screw coupled to motor shaft and load applied by lead screw on plate is 100 kg by vertically

Pls

1m 16mmdiameter ball screws calculations

I need the calculation to determine the stepper motor torque to find the load that it can withstand in horizontal position using a lead screw at 1/2" diameter with 13 TPI.

• What are the toggle switch settings on the stepper motor drivers for the .5 in. lead screw 10 tpi 2 turns per inch? Thankyou!

On the top of the stepper motor drivers is a grid with the appropriate toggle switch positions for the lead screw being used. If it is 2 turns per inch, the proper toggle switch positions would be 01101110. Try this and see if it works.

What are the toggle switch settings on the stepper motor drivers for the .5 in. lead screw 10 tpi 2 turns per inch? Thankyou!

• I would like to know if your breakout board and driver boards are compatible with MAC OS X working with Sketch Up pro using SketchUcam ?

SketchUcam will output gcode which standard CNC control software will typically interpret, execute and control CNC machines. So, there is no problem using SketchUcam. However, our CNC machine control software that use our CNC machine interface boards require Windows OS, of Linux. The Mach3 USB board will only run with Mach3 control software which runs under the Windows OS. The parallel breakout board can run under Windows or Linux OS and the computer must contain a parallel port.

I would like to know if your breakout board and driver boards are compatible with MAC OS X working with Sketch Up pro using SketchUcam ?

• I AM USING A XYLOTEX 3 AXIS BOARD AND WANT TO ADD ANOTHER MOTOR SLAVED THE X-AXIS. WILL DRIVE CW230 WORK?

If the pins from the terminal block on the side of the board are outputs, or at least 2 of them are outputs, then you can connect our modular driver to the board (example: cw230). If they are all inputs, then you would not be able to connect an external driver.

I AM USING A XYLOTEX 3 AXIS BOARD AND WANT TO ADD ANOTHER MOTOR SLAVED THE X-AXIS. WILL DRIVE CW230 WORK?

• Are there contour type brushes available for leadscrews and round rails

Yes, you can use these flexible strip brushes and create a mount for the contour that you need:

https://www.buildyourcnc.com/item/strip-brush

Are there contour type brushes available for leadscrews and round rails

• Please share what versions of ReplicatorG, Python, Java, Firmware and the Arduino drivers you are currently using for the whiteAnt 3d printer.

We use the version 0024 of replicatorG which works quite well. The firmware is specified on the videos as you perform the installation. You can find the videos on this page: https://www.buildyourcnc.com/whiteAnt3DPrinterandCNCMachine.aspx

Please share what versions of ReplicatorG, Python, Java, Firmware and the Arduino drivers you are currently using for the whiteAnt 3d printer.

• Are there .dxf files or other files for the MDF parts in Combo #1 so that they may be cut using a CNC?

No, at this time, we do not offer any .dxf or any other type of file to cut the pieces for the DIY Combo #1. Just the directions that you are already able to access with the dimensions in them.

Are there .dxf files or other files for the MDF parts in Combo #1 so that they may be cut using a CNC?

• Can I use one motor drive 6A and conect 2 motor nema 24 425oz-in?, Can I do that??

Connecting two motors to a single, larger current driver, is not recommended. Theoretically, this may not be an issue; however, problems could occur where one of the motors draw more current than the other due to some external forces or friction and one of the motors stalling as a result.

If you need to have two motors turn in a synchronous way as a single axis, connect the two drivers to the same axis signal (the same step and direction pins from the breakout board).

Can I use one motor drive 6A and conect 2 motor nema 24 425oz-in?, Can I do that??

• I'VE BUFFERED A PWM SIGNAL TO 0-10V ANALOG AND I WOULD LIKE USE THAT RUN YOUR 110V 2.2KW SPINDLE VFD. COULD YOU PLEASE DETAIL THE CORRECT WIRING VFD SETTINGS GET WORKING?

This will depend on the VFD you have to identify the correct terminal. The terminal on the VFD will be labeled AI1 typically (Analog Input #1). You will also need to make sure to complete the PWM circuit using the GND terminal on the VFD.

I have wired my 0-10V signal to the AI1 and GND terminals as suggested. I have also set the PD-01 and PD-02 settings to 1. Still nothing. Is there something else that I am missing?

Thanks for the information. Can you let me know the model of the VFD that you have?

VFD Model # YL600-2S-2K20

Thanks. I will check our resources and documentation to see if there is another programming setting that needs to be changed.

Does your VFD have a VI terminal?

No, it does not. The terminals for this VFD are as follows (seperated by dashes "-").

10V-AI1-AO2-PLC-DI5-DI3-DI1-COM
AI2-GND-AO1-DI6-DI4-DI2-FM-24V

Do you have a PD070 parameter?

The options for that parameter is:
0: 0-10V
1: 0-5V
2: 0-20mA
3: 4-20mA
4: 0-10V (4-20mA Stacked)
5: XIA
6: (VI+XIA)/2
7: (3VA+XIA)/4
8: (XIA_XIB)/2
9: Max (XIA, XIB)
10: Min (XIA, XIB)

There is a PD-00 thru PD-09. PD-07 is currently set to 0.

It appears that the manual I’m using “Titled YL600” is not the same as your unit. I will check our manuals and find the one that has only PD-00 to PD-09.

For that VFD, the parameters are P0. The 0 may look like a D on the display.

The parameters that need to be changed for the AI1 to work (Brackets [] around the correct selection):

P0-01: First Motor Control Mode
- 0: Sensorless Vector Control
- 1: Flux Vector Control (FVC)
- [2]: V/F Control

P0-02: Options of Command Source
- 0: Operation Panel Command Channel (LED will be off)
- [1]: Terminal Command Channel (LED will be on)
- 2: Communication Command Channel (LED will flicker)

P0-03: Options of Principle Frequency Source X
- 0: Digital Setting (Preset Frequency P0-08, UP/DOWN modifiable, no power-down memory)
- 1: Digital Setting (Preset Frequency P0-08, UP/DOWN modifiable, with power-down memory)
- [2]: AI1
- 3: AI2
- 4: AI3
- 5: Pulse Setting (DI5)
- 6: Multi Speed Instruction
- 7: Simple PLC
- 8: PID (Proportional Integral Derivative Control)
- 9: Communication Given

P0-11: Upper Limit Frequency Source
- 0: P0-12 (Make sure the P0-12 parameter has the correct max frequency if used)
- [1]: AI1
- 2: AI2
- 3: AI3
- 4: Pulse Setting
- 5: Communication Given

P0-27: Command Source Bundle with Frequency Sources
Single Digit: Options of Operation Panel Command Bundle with Frequency Sources
- 0: No Bundling
- 1: Digital Setting Frequency
- [2]: AI1
- 3: AI2
- 4: AI3
- 5: Pulse Setting (DI5)
- 6: Multi Speed Instruction
- 7: Simple PLC
- 8: PID
- 9: Communication Given
Double Digit: Options of Terminal Command Bundle with Frequency Sources
Hundred Place: Options of Communication Command Bundle with Frequency Sources
Kilobit: Options of Automatic Operation Bundle with Frequency Sources

P2-09: Upper Limit Source of Lower Torque Under Speed Control Mode
- 0: Function Code P2-10 Setting
- [1]: AI1
- 2: AI2
- 3: AI3
- 4: Pulse Setting
- 5: Communication Given
- 6: MIN (Al1, Al2)
- 7: MAX (Al1, Al2)
- Maximum range for options 1-7, accords with P2-10

If you elect to use a different AI#, then configure the parameters (P0-03, P0-11, P0-27 and P2-09) accordingly.

I'VE BUFFERED A PWM SIGNAL TO 0-10V ANALOG AND I WOULD LIKE USE THAT RUN YOUR 110V 2.2KW SPINDLE VFD. COULD YOU PLEASE DETAIL THE CORRECT WIRING VFD SETTINGS GET WORKING?

• HOW DO I WIRE THE 4TH AXIS THAT YOU SELL. I HAVE MACH3 SOFTWARE. NO INSTRUCTIONS ON YOUR SITE

The motor that is attached to the 4th axis is wired as follows:

The motor should have red, green yellow and blue wires coming form the motor. The red and green are paired as one coil and the yellow and blue is paired as the other coil. You can wire the motor to a 3.0 amp driver with red to A+, green to A-, Yellow to B+ and Blue to B-

HOW DO I WIRE THE 4TH AXIS THAT YOU SELL. I HAVE MACH3 SOFTWARE. NO INSTRUCTIONS ON YOUR SITE

• For a stepper motor that requires 5.5 amps, would you recommend setting the stepper driver to 5.43 or 6 amps? Better to go lower or higher?

If your motor spec call for 5.5 amps, it is best to set the driver for the setting that matches that spec, or the next lowest value. This will allow the motor to run within its designed characteristics.

For a stepper motor that requires 5.5 amps, would you recommend setting the stepper driver to 5.43 or 6 amps? Better to go lower or higher?

• I'm assembling the gantry for a 5x10 greenbull and noticed that there are 9 spaces for torsion spacers but only 7 in the kit. Should I just space them out on the right side behind the motor?

That is correct. We send the fewer ribs than could be fastened within the gantry. One reduction of a rib will provide more space for the motor at the midpoint of the gantry and at the other side of the gantry (opposite the motor) can be reduced to provide more space to work with the coupling.

I'm assembling the gantry for a 5x10 greenbull and noticed that there are 9 spaces for torsion spacers but only 7 in the kit. Should I just space them out on the right side behind the motor?

• Have a CNC routher that uses the Porter Cable 78125 considering 2.2kw spindle and controller do you have any mounts and our recommenadtions?

You are making the right choice. The overall cost benefit of a spindle over a router is worth the change. We used a router back in 2008-2012 and constantly replaced it due to the daily use, but we are still using the same spindle we began using back in 2012.

We sell a mount that you can find here:
https://www.buildyourcnc.com/item/spindle-inverter-2!2kw-spindle-80mm-mount

The mount fits standard 80mm spindles.

Have a CNC routher that uses the Porter Cable 78125 considering 2.2kw spindle and controller do you have any mounts and our recommenadtions?

• Hello. I like your vertikal router. Is then router stabil enogh for the need of a Carpenter? Are you using 21mm Plywood or 21mm MDF. What type of spindel (KW) is maximum allowed and whatbis the maximum feed (6mm cutter) in oak. Thank you, Veit

The greenLean vertical CNC is stable enough to handle large-scale production on a daily basis. We use 3/4" MDO plywood, which is equivalent to about 19mm. The gantry is designed to hold a 2.2kW Spindle, with a maximum of 24,000 RPM.

• Using a Pokey57 CNC and Mach 4 can you tell me how to connect my laser. The laser has three wires.. Ground - 12V Power and PMW.

Do you have a TL or a TH for triggering the laser? If you power the digital side of your laser power supply with 12V and tie the gnd with the PWM gnd on the pokeys57CNC controller, you may be able to use the PWM on the pokeys57CNC controller. Before you do this, I would suggest that you contact polabs support (http://support.polabs.com/) and ask them if this is possible.

Using a Pokey57 CNC and Mach 4 can you tell me how to connect my laser. The laser has three wires.. Ground - 12V Power and PMW.

• Do you sell the 5x10 or 5x12 machines fully assembled complete with spindle that will do detailed signs in wood. We have very large eastern red cedar are interested in producing custom signs etc.

Yes, we have fully assembled machines that come complete with the spindle (and laser if needed) with sizes ranging from 1'x2' all the way up to 6'x12' or longer. We can also make custom fully assembled machines with other sizes. All of these machines are perfect for very intricate detailed work including but definitely not limited to sign making, bas relief, cabinetry, architectural model making, engraving, machine parts, automotive, custom sound enclosures (automotive or other), and other scientific application which we have delivered machine for many types of these applications.

Our machines are as follows (in order by size, larger at top):

The Fabricator Pro (although stated on the website at 4'x8') can be provided up to a 6'x12' (or longer) size. Call us for the price above the 4'x8' size.
https://www.buildyourcnc.com/item/cnc-machine-fabricator-pro-milling

The greenBull 4x, 5x or 6x CNC Machine is available fully assembled; however, you are responsible for building the table on this machine, but the price is considerably lower. The 4x, 5x, and 6x is a width specification and the length is determined by your table length.
4x: https://www.buildyourcnc.com/item/cnc-machine-greenBull-v4-4X-milling-hybrid
5x: https://www.buildyourcnc.com/item/cnc-machine-greenBull-v4-5X-milling-hybrid
6x: https://www.buildyourcnc.com/item/cnc-machine-greenBull-v4-6X-milling-hybrid

The 4'x8' greenLean CNC Router (Table bed is vertically oriented with a slant) fully assembled:
This machine is fully assembled with the overall frame. The customer would need to fasten the frame to the wall and affix a spoilboard to the bed.
https://www.buildyourcnc.com/item/cnc-machine-greenLean-v1-milling

The 4'x8' Vertical Laser XL Laser Cutter and Engraver fully assembled:
https://www.buildyourcnc.com/item/cnc-machine-vertical-laser-xl-laser-cutter

The 4'x8' blackFoot CNC Router:
This machine requires a table to be built by the customer.
https://www.buildyourcnc.com/item/cnc-machine-blackFoot-v4-milling

The 2'x4' blackToe CNC router fully assembled complete with table:
https://www.buildyourcnc.com/item/cnc-machine-blacktoe-v4-2x4-milling

The blueChick CNC Router fully assembled completel with table:
https://www.buildyourcnc.com/item/cnc-machine-bluechick-v4-milling

Do you sell the 5x10 or 5x12 machines fully assembled complete with spindle that will do detailed signs in wood. We have very large eastern red cedar are interested in producing custom signs etc.

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