### Question #: 14410

Question:
**
How can I determine which wires on my stepper motor bellong to A+ A- B+ or B-?
**

**
**

**You can use a multimeter to determine the wires of the same coil (i.e A+ and A- belong to he same coil). The wires that are connected on the same coil will have relatively low resistance. A wire from one coil to another coil with have no continuity since the two coils are not touching each other.**

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**

### 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)

R = radius of the lead screw

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

Additional Information:

Additional Information:

Additional Information:

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

Additional Information:

Pls

Additional Information:

1m 16mmdiameter ball screws calculations**Click the link to respond:**

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.**HOW DO I DETERMINE THE AMOUNT OF SCREW WEIGTH THAT MY MOTOR CAN HANDLE**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)

R = radius of the lead screw

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

Additional Information:

Additional Information:

Additional Information:

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

Additional Information:

Pls

Additional Information:

1m 16mmdiameter ball screws calculations**Click the link to respond:**

HOW DO I DETERMINE THE AMOUNT OF SCREW WEIGTH THAT MY MOTOR CAN HANDLE**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)

R = radius of the lead screw

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

Additional Information:

Additional Information:

Additional Information:

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

Additional Information:

Pls

Additional Information:

1m 16mmdiameter ball screws calculations**Click the link to respond:**

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.**I cannot turn the shaft of my stepper motor. It not even connected to a driver**The motor is creating it's own EMF when you try to turn the shaft manually. When coils are connected (or not connected) to any circuit that is not powered can cause unpredictable results.

The motor freezing from just turning it by hand with no connection is surely the wires touching each other. This is actually how we test if a motor is good or bad. If the motor freezes when two of the wires are touching, that means the motor is functioning properly since the magnets are causing current to flow through that coil opposing the magnet.**Click the link to respond:**

I cannot turn the shaft of my stepper motor. It not even connected to a driver**Hi please could you tell me how to work out the size required for the stepper motors ? which kit to get thanks**The size of motors required for your machine build will depend on many characteristics of the machine.

If the machine uses a gantry (rather than moving the table bed) and the weight of the gantry (specifically with inertia),

The mechanics used with the axes, lead screw, roller chain, timing belt or rack and pinion. Generally you will need less torque if using lead screw due to the mechanical advantage, but friction is important to consider.

If you are building a 4'x8' or larger machine, it would be best to use: https://buildyourcnc.com/item/electronicsAndMotors-3axis-heavy-gantry-elcombo

Otherwise: this electronics: https://buildyourcnc.com/item/electronicsAndMotors-3axis-425-elcombo should be fine for most configurations.

If you feel that you need extra torque on the z-axis (the z-axis will use a very heavy spindle, for instance), use this electronics: https://buildyourcnc.com/item/electronicsAndMotors-3axis-651-elcombo**Click the link to respond:**

Hi please could you tell me how to work out the size required for the stepper motors ? which kit to get thanks**How can I have two stepper motors on one axis**Yes, you can use 2 motors in the same axis output, however you will still need a driver for that motor! Also depending on the orientation on which you mount the motor you might have to invert the direction of the motor, and that will be simple by swapping the A+,A-, to the B+,B- locations and vice versa, from the driver to the motor wiring.

Also you can run a slave motor using another axis on the board, and setting it up in the Planet-CNC settings.

Planet-CNC/File/Settings/Axes, here you will enter 3 in the Number of Axes location, and then change the Function of the Axis 4 to Slave 1. There you will have the 4th axis or A-axis be a slave for the x-axis.

Slave 1 - X-Axis

Slave 2 - Y-Axis

Slave 3 - A-Axis

Slave 4 - B-Axis

Etc...**Click the link to respond:**

How can I have two stepper motors on one axis**I need to determine steps/inch mach3 setup information for my motors and drivers.**blueChick:

X-axis

“CW230 (3.0A) Driver”

Set to 1/16 Microstep, 2.7A

Dipswitches: 11001100

Mach3 Motor Tuning: 1422.22 steps/in

Y-axis

“CW230 (3.0A) Driver”

Set to 1/16 Microstep, 2.7A

Dipswitches: 11001100

Mach3 Motor Tuning: 1422.22 steps/in

Z-axis

“CW230 (3.0A) Driver”

Set to 1/4 Microstep, 2.7A

Dipswitches: 10101100

Mach3 Motor Tuning: 1600 steps/in

blackToe:

X-axis

“CW230 (3.0A) Driver”

Set to 1/16 Microstep, 2.7A

Dipswitches: 11001100

Mach3 Motor Tuning: 1422.22 steps/in

Y-axis

“CW230 (3.0A) Driver”

Set to 1/16 Microstep, 2.7A

Dipswitches: 11001100

Mach3 Motor Tuning: 1422.22 steps/in

Z-axis

“CW230 (3.0A) Driver”

Set to 1/4 Microstep, 2.7A

Dipswitches: 10101100

Mach3 Motor Tuning: 1600 steps/in

blackFoot:

X-axis

“CW8060 (6.0A) Driver”

Set to 1/16 Microstep, 2.7A

Dipswitches: 11001100 (“0”=down, “1”=up)

Mach3 Motor Tuning: 914.29 steps/in

Y-axis

“CW230 (3.0A) Driver”

Set to 1/16 Microstep, 2.7A

Dipswitches: 11001100

Mach3 Motor Tuning: 1422.22 steps/in

Z-axis

“CW230 (3.0A) Driver”

Set to 1/4 Microstep, 2.7A

Dipswitches: 10101100

Mach3 Motor Tuning: 1600 steps/in

greenBull:

X-axis

“CW8060 (6.0A) Driver”

Set to 5.43A, 1/16 Microstep

Dipswitches: 01100110 (“0”=down, “1”=up)

Mach3 Motor Tuning: 914.29 steps/in

Y-axis

“CW8060 (6.0A) Driver”

Set to 5.43A, 1/16 Microstep

Dipswitches: 01100110

Mach3 Motor Tuning: 914.29 steps/in

Z-axis

“CW8060 (6.0A) Driver”

Set to 5.43A, 1/4 Microstep

Dipswitches: 01100100

Mach3 Motor Tuning: 1600 steps/in

Scratch-Build / Book-Build Kit:

X-axis

“CW230 (3.0A) Driver”

Set to 1/4 Microstep, 2.7A

Dipswitches: 10101100 (“0”=down, “1”=up)

Mach3 Motor Tuning: 1600 steps/in

Y-axis

“CW230 (3.0A) Driver”

Set to 1/4 Microstep, 2.7A

Dipswitches: 10101100

Mach3 Motor Tuning: 1600 steps/in

Z-axis

“CW230 (3.0A) Driver”

Set to 1/4 Microstep, 2.7A

Dipswitches: 10101100

Mach3 Motor Tuning: 1600 steps/in

Additional Information:

Additional Information:

Scratch built/book CNC with NEMA 34 motors and CW8060 microstep driver

Additional Information:**Click the link to respond:**

I need to determine steps/inch mach3 setup information for my motors and drivers.**delivered Stepper motors do not have the same colored wires as book/videos. What wires to to connect to what?**You will need to use the datasheets or instructions on the product page of the actual motor you have. For instance, if you have the 425 oz-in motors, you can go here: https://www.buildyourcnc.com/item/electronicsAndMotors-nema24-425ozin

Click on the link for the datasheet, or look in the instruction steps and you will find a wiring diagram. If the datasheet gives you an option for bipolar parallel connection scheme, use that one, otherwise, there is probably only one diagram, so you will need to use that one.**Click the link to respond:**

delivered Stepper motors do not have the same colored wires as book/videos. What wires to to connect to what?**Can I run two stepper motors off the same axis output on the USB controller?**Yes, you can use 2 motors in the same axis output, however you will still need a driver for that motor! Also depending on the orientation on which you mount the motor you might have to invert the direction of the motor, and that will be simple by swapping the A+,A-, to the B+,B- locations and vice versa, from the driver to the motor wiring.

Also you can run a slave motor using another axis on the board, and setting it up in the Planet-CNC settings.

Planet-CNC/File/Settings/Axes, here you will enter 3 in the Number of Axes location, and then change the Function of the Axis 4 to Slave 1. There you will have the 4th axis or A-axis be a slave for the x-axis.

Slave 1 - X-Axis

Slave 2 - Y-Axis

Slave 3 - A-Axis

Slave 4 - B-Axis

Etc...**Click the link to respond:**

Can I run two stepper motors off the same axis output on the USB controller?**How to determine lead screw length needed. My Thomson 1 1:4 rails are 60 inches long roughly for the router I’m building. I know I have to have it long enough to couple up with the stepper motor of course but does it matter if it’s a little long on the other end**It generally does not matter if it is longer at the other end as long as the lead screw provides the desired travel for that axis. The lead screw will only need to be long enough for the travel, plus any structure and lead-nut positioning.

For example:

- The motor that will turn the lead screw will need to be mounted at some position (generally at one end of the axis). In many cases, this positioning will be mounted where some of the lead screw will not be used (the lead nut will not be able to moved close to the coupling of the lead screw to the motor shaft). Add some of the length of the lead screw to be inserted into the coupling.

- If the lead screw will contain bearings at either end of the travel, that portion of the mechanical assembly will need to be considered in the lead screw length.

- The lead-nut will need to be mounted in a position on a structural member of the part that is to move. The distance from the part of the structure that will extend closest to the motor will have some distance to the position of the lead nut. This distance will need to be added to the lead screw length.

Add these discrepancies to the length of the lead screw and the travel length and you will have the final length.**How can i calculate how much can carry my stepper motor? i have these informations: (Detent Torque: 2.2N.cm; Rotor Inertia: 54g.cm2; Holding Torque: 40N.cm). It's a nema 17**The holding torque will provide the best information for the calculation on how much your stepper motor will carry. But first, when you say carry, do you mean how much weight it can lift, how much inertia it can withstand during an acceleration and deceleration state or how fast it can accelerate or velocity it can maintain under load from the milling process?

**Click the link to respond:**

How can i calculate how much can carry my stepper motor? i have these informations: (Detent Torque: 2.2N.cm; Rotor Inertia: 54g.cm2; Holding Torque: 40N.cm). It's a nema 17**How can i calculate how much can carry my stepper motor? i have these informations: (Detent Torque: 2.2N.cm; Rotor Inertia: 54g.cm2; Holding Torque: 40N.cm). It's a nema 17**The holding torque will provide the best information for the calculation on how much your stepper motor will carry. But first, when you say carry, do you mean how much weight it can lift, how much inertia it can withstand during an acceleration and deceleration state or how fast it can accelerate or velocity it can maintain under load from the milling process?

**Click the link to respond:**

How can i calculate how much can carry my stepper motor? i have these informations: (Detent Torque: 2.2N.cm; Rotor Inertia: 54g.cm2; Holding Torque: 40N.cm). It's a nema 17**How long does it take to ship to Israel 3 nema 11 stepper motors ?**Unfortunately I am not able to give an estimate of shipping time. This is because there are multiple shipping options, Some of them cost more than others, but ensure the package arrives in a certain number of days. Others do not give a number of days, and many factors could change the length of shipping time, such as weather, or busy season. It would be best to choose an option you are comfortable with the price of, and then Google search the typical times it takes for that option to get to you, or call the shipping company and request that estimated time from them.

**Click the link to respond:**

How long does it take to ship to Israel 3 nema 11 stepper motors ?**What determines how fast the stepping motors will spin?**The amount of voltage that is used to power the motors will generally determine the top RPM of the stepping motors. As you increase the voltage, the time constant is reduced in the process of current flowing through the coils of the motor. The faster the current can be drawn through the coils, the faster the motor will spin.

**Click the link to respond:**

What determines how fast the stepping motors will spin?**how do I determine the steps per inch for the motors?**blueChick:

X-axis

“CW230 (3.0A) Driver”

Set to 1/16 Microstep, 2.7A

Dipswitches: 11001100

Mach3 Motor Tuning: 1422.22 steps/in

Y-axis

“CW230 (3.0A) Driver”

Set to 1/16 Microstep, 2.7A

Dipswitches: 11001100

Mach3 Motor Tuning: 1422.22 steps/in

Z-axis

“CW230 (3.0A) Driver”

Set to 1/4 Microstep, 2.7A

Dipswitches: 10101100

Mach3 Motor Tuning: 1600 steps/in

blackToe:

X-axis

“CW230 (3.0A) Driver”

Set to 1/16 Microstep, 2.7A

Dipswitches: 11001100

Mach3 Motor Tuning: 1422.22 steps/in

Y-axis

“CW230 (3.0A) Driver”

Set to 1/16 Microstep, 2.7A

Dipswitches: 11001100

Mach3 Motor Tuning: 1422.22 steps/in

Z-axis

“CW230 (3.0A) Driver”

Set to 1/4 Microstep, 2.7A

Dipswitches: 10101100

Mach3 Motor Tuning: 1600 steps/in

blackFoot:

X-axis

“CW8060 (6.0A) Driver”

Set to 1/16 Microstep, 2.7A

Dipswitches: 11001100 (“0”=down, “1”=up)

Mach3 Motor Tuning: 914.29 steps/in

Y-axis

“CW230 (3.0A) Driver”

Set to 1/16 Microstep, 2.7A

Dipswitches: 11001100

Mach3 Motor Tuning: 1422.22 steps/in

Z-axis

“CW230 (3.0A) Driver”

Set to 1/4 Microstep, 2.7A

Dipswitches: 10101100

Mach3 Motor Tuning: 1600 steps/in

greenBull:

X-axis

“CW8060 (6.0A) Driver”

Set to 5.43A, 1/16 Microstep

Dipswitches: 01100110 (“0”=down, “1”=up)

Mach3 Motor Tuning: 914.29 steps/in

Y-axis

“CW8060 (6.0A) Driver”

Set to 5.43A, 1/16 Microstep

Dipswitches: 01100110

Mach3 Motor Tuning: 914.29 steps/in

Z-axis

“CW8060 (6.0A) Driver”

Set to 5.43A, 1/4 Microstep

Dipswitches: 01100100

Mach3 Motor Tuning: 1600 steps/in

Scratch-Build / Book-Build Kit:

X-axis

“CW230 (3.0A) Driver”

Set to 1/4 Microstep, 2.7A

Dipswitches: 10101100 (“0”=down, “1”=up)

Mach3 Motor Tuning: 1600 steps/in

Y-axis

“CW230 (3.0A) Driver”

Set to 1/4 Microstep, 2.7A

Dipswitches: 10101100

Mach3 Motor Tuning: 1600 steps/in

Z-axis

“CW230 (3.0A) Driver”

Set to 1/4 Microstep, 2.7A

Dipswitches: 10101100

Mach3 Motor Tuning: 1600 steps/in

Additional Information:

Additional Information:

Scratch built/book CNC with NEMA 34 motors and CW8060 microstep driver

Additional Information:**Click the link to respond:**

how do I determine the steps per inch for the motors?**can my stepper motor lift the weight of my router?**

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)

R = radius of the lead screw

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

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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

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Pls

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