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

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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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1m 16mmdiameter ball screws calculations


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What is the max load that 2 NEMA 17 stepper motors (spaced 2 feet apart, both will be pushing up on the same gantry) can lift while using a rod with the following specifications T8 OD 8mm Pitch 2mm Lead 4mm for each motor.

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1

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

The parallel breakout board has a relay that can turn the router on and off according to the control software in the computer. The router will turn on automatically prior to the machine moving (a time frame can be set so the router is up to speed). When the machine is finished and is not moving, the router automatically turns off. This is with the m3, m4, and m5 codes in the g-code.

If you are interested in the USB breakout board, you will need to get an independent relay board.

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HOW CAN THE ROUTER BE CONTROLLED BY COMPUTER?

The parallel breakout board has a relay that can turn the router on and off according to the control software in the computer. The router will turn on automatically prior to the machine moving (a time frame can be set so the router is up to speed). When the machine is finished and is not moving, the router automatically turns off. This is with the m3, m4, and m5 codes in the g-code.

If you are interested in the USB breakout board, you will need to get an independent relay board.

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HOW CAN THE ROUTER BE CONTROLLED OR CONNECTED TO ELECTRONICS COMPUTER?

Yes, the 651 oz/in motor requires a driver that is compatible to the motors (the motor will draw 6 amps max and the driver paired with this motor will be able to allow for a 6 amp draw). I would also recommend a 36 volt power supply for better high velocity performance.

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I HAVE ONE OF YOUR SMALLER STEPPER MOTORS RUNNING MY X AXIS BRIDGE CRANE AND IF IT IS MOVED TO FAST THE MOTOR SOUNDS LIKE SKIPPING STEPS WILL 651OZ REQUIRE A DIFFERENT POWER SUPPLY CONTROLER?

Upgrade your mirrors to SI coated mirrors, using a HQ ZnSe lens and even pushing up to a beam expander will all boost power. The ideal order of experimenation for lowest cost would be changing out for a higher quality lens labeled HQ ZnSE lens. Next would be SI mirrors, which will absorb less heat and reflect better, the last would be to use a beam expander which expands the beam, reducing the heat signature on the mirrors and makes a tighter focal width.

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CAN BOOST THE POWER OF MY BLACKTOOTH LASER?

Yes, the customer will need to sign our NDA (Non Disclosure Agreement) form and send it back to us. We will then send the dxf of the specific updated part of the machine.

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-1' OR 2+849-849-1=0+0+0+1 or 'WBwHf8k5'='

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CAN I GET DXF FILES FOR THE UPDATED PARTS OF MY MACHINE?

Check step 9 on this page: http://www.buildyourcnc.com/item/electronicsAndMotors-parallel-breakout-relay

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IF YOU HAVE CIRCUIT (OR PICTURE) OF HOW THIS RELAY IS CONNECTED TO THE ROUTER

You will need the following:
- router/spindle for the machine
- computer to control the machine
- construct a table if the optional table is not purchased
- wire and cable to connect all of the electronics

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- software to run the gcode (purchased separately)

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DOES THE PRICE OF 2’ X 4’ ROUTER INCLUDE EVERYTHING WOULD NEED TO START ROUTING?

The recommended total length of motor cable should be 15 feet for the blueChick v4.2

Z - 6 feet
Y - 5 feet
X- 4 feet

20 AWG 4 conductor

If your drivers will be positioned farther from the machine, you may need longer cable.

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WHAT LENGTH OF MOTOR CABLE SHOULD BE USED WTIH THE BLUECHICK V4.2

Hour meter. This will tell you exactly how long your system has been 'on' giving you a more accurate bead on the length of your tubes life.

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WHAT CAN ADD TO MY BLACKTOOTH LASER CUTTER MEASURE THE TIME OF USE?

The parallel breakout board has a relay that can turn the router on and off according to the control software in the computer. The router will turn on automatically prior to the machine moving (a time frame can be set so the router is up to speed). When the machine is finished and is not moving, the router automatically turns off. This is with the m3, m4, and m5 codes in the g-code.

If you are interested in the USB breakout board, you will need to get an independent relay board.

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HOW THE ROUTER IS CONNECTED TO ELECTRONICS?

The parallel breakout board has a relay that can turn the router on and off according to the control software in the computer. The router will turn on automatically prior to the machine moving (a time frame can be set so the router is up to speed). When the machine is finished and is not moving, the router automatically turns off. This is with the m3, m4, and m5 codes in the g-code.

If you are interested in the USB breakout board, you will need to get an independent relay board.

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HOW IS THE ROUTER CONNECTED TO ELECTRONICS?

Yes and properly soldered.

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20

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DO YOU SUPPLY THE MALE PORTION OF MOTOR CONTROL CABLES WITH REDLEAF?

Lettuce, or any vegetable. Also drink a cup of water before meals, it'll make you feel fuller.

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WHAT ARE THE BEST FOODS THAT WILL HELP YOU LOSE WEIGHT?

Shipping crate 121" X 36" X 92"

Weight 511 LBS

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ship in india pls

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International shipping rates can be determined by:
- adding products to the cart
- go to the cart and enter shipped by address
- and pressing the calculate shipping button

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WHAT IS THE SHIPPING WEIGHT AND DIMENSIONS FOR GREENLEAN?

Shipping crate size 121" X 36" X 92"

Weight 511 LBS

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WHAT IS SHIPPING DIMENSIONS AND WEIGHT FOR THE VERTICAL LASER.

The motor cables for the blackToe are as follows:

Total 30 feet

X - 9
Y - 10
Z - 11

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HOW LONG SHOULD THE MOTOR CABLES BE FOR BLACKTOE

I haven't delved into using encoders with stepping motors too much. From my research, you need to have a controller that can provide the closed loop control, rather than software handling that process. I have also found from my research that using encoders on stepping motors is generally used to stop the machine in the case that the motor failed to achieve the commanded position for some reason and gives the user the chance to correct and continue with the job.

If you want proper closed loop control, it may be best to go with servos and servo controller that provide the closed loop control within the real of those two components.

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CAN I USE A STEPPING MOTOR WITH AN ENCODER?

If you remove the dust shoe, you should be able to reach the collet to remove the end mill.

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DO HAVE TO REMOVE THE PORTER CABLE 892 ROUTER EVERY TIME CHANGE BIT?