Stepper Motor Torque Calculator

⚙️ Stepper Motor Torque Calculator

Calculate required load torque, safety margin, and steps per revolution for NEMA stepper motors

Unit System
Presets
Motor Parameters
Common: 3D printing, light CNC, robotics
From motor datasheet (at rated current)
Typically 5–15% of holding torque
Typical: 75–90% for lead screw drives
Load Application
Linear distance per revolution
Distance from axis to load center
Lead screw: 0.1–0.2, Slide: 0.05–0.15
0 = horizontal, 90 = vertical
⚠ Speed Note: At high speeds, stepper torque drops significantly — always check the motor speed-torque curve for your operating RPM.
💡 Microstepping: Microstepping improves smoothness and resolution but does NOT increase torque output. Torque decreases as microstep count increases.

✅ Calculation Results

Required Load Torque
Safety Margin vs Holding Torque
Steps per Revolution
Motor Adequacy

📋 Calculation Breakdown

Gravity Force Component
Friction Force Component
Acceleration Force Component
Total Force
Raw Torque (before safety factor)
Safety Factor Applied
Effective Holding Torque (70% at speed)
Detent Torque
Required Torque (with safety factor)
NEMA Frame Size Comparison
FrameTorque RangeTypical CurrentCommon Uses
NEMA 82–10 oz-in0.2–0.5AMiniature instruments, medical
NEMA 1110–30 oz-in0.5–1ASmall robots, security cameras
NEMA 1414–40 oz-in0.8–1.5ACamera sliders, pen plotters
NEMA 1740–90 oz-in1–2A3D printers, light CNC, laser cutters
NEMA 23100–400 oz-in2–4ACNC routers, mills, engravers
NEMA 2460–170 oz-in1.5–3AExtruders, compact automation
NEMA 34500–2000 oz-in4–8AHeavy CNC, lathes, plasma cutters
Microstepping Comparison
ModeSteps/RevTorque %ResolutionBest Use
Full Step200100%1.8°Max torque, low noise apps
Half Step400~70%0.9°Good balance of torque/smoothness
1/4 Step800~38%0.45°Smoother motion, hobby CNC
1/8 Step1600~19%0.225°3D printing standard
1/16 Step3200~10%0.1125°High resolution positioning
1/32 Step6400~5%0.05625°Ultra-smooth, low-torque only
Torque vs Speed (% of Rated Holding Torque)
Step ModeAt 200 RPMAt 500 RPMAt 1000 RPMAt 2000 RPM
Full Step~85%~65%~45%~20%
Half Step~75%~55%~35%~15%
1/8 Step~60%~40%~25%~10%
1/16 Step~45%~25%~12%~5%
Motor Sizing Quick Guide
NEMA 17 — Standard
Typical Holding Torque
62 oz-in
1.7A rated current, 1.8° step angle, 200 steps/rev. Ideal for 3D printers and light CNC applications up to ~3 kg load.
NEMA 23 — Mid-Range
Typical Holding Torque
280 oz-in
3A rated current, 1.8° step angle. Suitable for CNC routers and mills with loads up to ~15 kg. Most popular for desktop CNC.
NEMA 34 — Heavy Duty
Typical Holding Torque
1200 oz-in
6A rated current, 1.8° step angle. For heavy CNC, plasma tables, and lathes. Requires high-current drivers (6–8A peak).
Safety Margin Guidance
Recommended Overhead
1.5–2.5×
At operating speed, torque may be 50–70% of rated. Always size motor so required torque is <70% of holding torque at speed.
⚠️ Safety Note: Always include a safety factor of at least 1.5–2× when sizing stepper motors. At operating speed, available torque drops to 50–70% of the rated holding torque. Never operate a stepper motor at or near its stall torque rating.

stepper motor genuinely perform well in delivery of torque at low speeds. That is one of their main advantages. Even so, to well understand how the torque works in those engines, we need to dig into their behavior at various speeds and with different setups.

Curves of speed and torque show how much torque a stepper motor is able to give at a certain speed, when it connects to a particular driver. Different combinations of engine and driver cause different results. At low speeds stepper motors create strong torque, because the inductance helps that more current passes through the coils.

How Stepper Motor Torque Changes with Speed

In the intermediate speed range there is a bit of decrease of torque because of changes in frequencies.

stepper motors usually ensure steady power. When the RPM doubles, torque halves. Reduction of speed by means of adapter can expand the accuracy and commonly reduce the noise, but because the engine must spin more quickly to keep the same RPM at the shaft, torque does not genuinely grow only by means of adaptation.

An efficient way too reach more torque is to expand the current, and that one does by means of higher voltage. The torque of a stepper motor is directly tied to the steady coil current. Double the current doubles also the torque.

In stepper motors there exist two main kinds of torque: static and dynamic. Static torque is that which the engine creates when it stands without motion. Holding torque and detent-torque both belong to static.

Holding torque is the maximum torque that a stepper motor can create at zero speed. Pull-out torque, or also called running torque or dynamic torque, shows the biggest load that the engine carries during rotation without losing steps.

Very important is choosing the right size of engine. If the required torque is less than 0.8 Nm, then Nema 8 until Nema 17 engines work well. For 1 until 3 Nm Nema 23 fits more.

Above 3 Nm one chooses Nema 34 or Nema 42. Usually one picks a stepper motor with more torque than genuinely needed, just to ensure that it does not lose steps.

stepper motors obey the law of Newton about rotation, where torque is tied to the inertia of rotor and load multiplied by angular boost. Increasing the speed requires more force, just as a car requires more gas to boost a heavy object. When the inductance is too high, the engines limit in the torque that they give during movement.

So holding torque alone does not describe everything. One can check the overall torque by means of turning the engine so that its shaft freely spins, with a fixed lever to the shaft and linkage of the lever end to a spring scale.

Some downsides include risk of skipping at high speeds and big size compared to brushless DC-engines. Servomotors offer strong torque through a broad speed range withclosing-loop feedback, which makes them more fitting for some tasks.

Stepper Motor Torque Calculator

Author

  • Thomas Martinez

    Hi, I am Thomas Martinez, the owner of ToolCroze.com! As a passionate DIY enthusiast and a firm believer in the power of quality tools, I created this platform to share my knowledge and experiences with fellow craftsmen and handywomen alike.

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