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Ballscrew Sizing Calculator

Enter the ballscrew, load, acceleration, and motor-gear parameters to instantly see total force, reflected inertias, screw speed, motor speed, required torque, and power. Send the results to ONX Control engineers to request a custom solution for your application.

Start Calculation
Linear Speed
v → nbs
Total Force
FT = Fw+Ff+Fa
Screw Torque
T = pF / 2πη
Inertia Ratio
Λ = Jref / Jm
M Load v T = pF / 2πη n = 60000v/p
Force
FT
Torque
Tm

Ballscrew Geometry

Mechanical
°
mm/rev
mm
mm

Load and Motion Profile

Dynamic
kg
m/s
s
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Motor and Gearbox Parameters

Drive
rpm
kg·cm²
kg·cm²
0.00

System Forces

N
Gravity Force
0.00 N
Friction Force
0.00 N
Acceleration Force
0.00 N
Total Force
0.00 N

Inertia Values

kg·cm²
Load Inertia
0.00
Screw Inertia
0.00
Total Inertia
0.00
Reflected to Motor
0.00

Kinematic Results

Velocity
Screw Angular Accel.
0.00 rad/s²
Screw Angular Vel.
0.00 rad/s
Screw Speed
0.00 rpm
Motor Speed
0.00 rpm

Motor Sizing

Drive
Screw Torque
0.00 Nm
Screw Torque w/ SF
0.00 Nm
Required Motor Torque
0.00 Nm
Motor Torque w/ SF
0.00 Nm
Required Motor Power
0.00 kW
Inertia Ratio
0.00

Engineering Expert Insight

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How to Calculate Ballscrew Sizing?

Motor selection in ballscrew systems is not based solely on load weight. Incline, friction, acceleration time, screw lead, screw efficiency, gear ratio, and total reflected inertia must be evaluated together.

When converting a linear load to a rotary system, the total linear force is found first. This force is then converted to rotary torque via screw lead and efficiency. The next step is calculating the required motor torque and power, factoring in gear ratio and gear efficiency.

This calculator by ONX Control brings together force, inertia, screw speed, motor speed, required torque, and power values on a single screen, providing rapid pre-sizing for linear axes, Z-axes, servo presses, pick-and-place, and special machine applications.

Frequently Asked Questions

What is the most critical parameter in ballscrew sizing?

There is no single critical parameter. Lead, total load, acceleration time, and inertia ratio must be evaluated together.

What should the inertia ratio be?

It depends on the application. In servo systems, lower ratios are easier to tune. Ratios above 10 require more careful analysis of system behavior.

Does gearbox efficiency affect motor torque?

Yes. The torque required at the screw is seen by the motor as a higher input torque due to gearbox inefficiency.

Is this tool sufficient for final motor selection?

It is very useful for pre-sizing. However, for the final selection, duty cycle, rigidity, critical screw speed, resonance, braking, and safety factors must also be examined.

ONX Technical Summary

Live linear axis summary

Ballscrew
Total Force 0.00 N
Motor Speed 0.00 rpm
Motor Momenti 0.00 Nm
Motor Gücü 0.00 kW
ONX Insight

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