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Gear Train Basics

Gear Ratio Torque

A gear ratio trades speed for torque. We explain the math, the losses, and the machining tolerances that keep a gearbox quiet at speed. Then we cut the parts.

±0.005 mm16 five-axis centersNo MOQ12-hour quote
CNC Lathe Technical Specifications Terminology
±0.005 mmAchievable tolerance
127High-precision CNC machines
16Simultaneous 5-axis centers
99.99%Qualification rate
Common Failures

Where Ratio Calculations Go Wrong

Four problems we see in gearbox designs that reach the shop floor.

01

Torque loss at the output shaft

A 10:1 reduction multiplies torque ten times, in theory. Add a 0.94 mesh efficiency and the number drops fast. Engineers who skip efficiency over-spec the motor and the housing.

02

Backlash that grows with load

A gear pair measured at 0.05 mm backlash can open to 0.2 mm under reversing torque. Position error shows up as chatter in a servo axis, and no controller gain hides it.

03

Housing bores that drift out of alignment

Shaft center distance sets the mesh. Miss it by 0.03 mm and the teeth contact on the tip instead of the pitch line. Noise rises and the tooth root cracks early.

04

Torque ripple from a bad tooth profile

A profile error of a few micrometers is enough to make a reducer pulse once per tooth. On a robot joint that reads as vibration, and the servo has to work harder to hold position.

How We Approach It

From Ratio to Finished Gearbox Parts

The math sets the target. The machining holds it.

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Step 1

Fix the ratio, then check the torque budget

Start with the teeth. A 13-tooth pinion driving a 21-tooth gear gives a ratio of 21/13, or 1.615:1. That is overdrive: output speed rises, output torque falls by the same factor. Swap the driver and driven gears and you get 0.619:1, a reduction that multiplies torque by 1.615.

The theoretical number is only the first line. Real output torque equals input torque times the ratio times mesh efficiency. A single spur mesh runs about 0.98. A worm drive can sit near 0.5 at low ratios. Multiply through before you size the motor, or the extra margin comes out of the housing wall thickness.

  • 1
    RatioDriven teeth divided by driver teeth
  • 2
    TorqueInput torque × ratio × mesh efficiency
  • 3
    SpeedInput rpm divided by the same ratio

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Step 2

Hold the center distance the mesh needs

A gear pair only behaves the way the drawing says if the shaft centers stay where they were designed. On a two-stage reducer we hold bearing bore position to ±0.005 mm and the bore-to-bore center distance to the same band. That keeps contact near the pitch line instead of the tooth tip.

Bores are cut in one setup on a mill-turn center or a 5-axis machine, so the front face and the back face share a datum. Flip a part between two fixtures and the stack-up alone can eat 0.02 mm. We would rather cut it once and measure it once.

Surface finish matters too. A bore at Ra 1.6–3.2 μm holds a press-fit bearing fine. For a shaft running directly in the housing, we go to Ra 0.8–1.6 μm or finer depending on the fit and the load.

  • 1
    One setupBoth bores cut from the same datum
  • 2
    MeasuredCMM report on request, per lot
  • 3
    Fit controlBore tolerance matched to the bearing class
6011
Step 3

Pick materials for the load path, not the catalog

Gear blanks and housings carry different loads, so they get different materials. Housings in 6061-T6 or 6082 keep weight down and machine cleanly. Shafts in 4140 or 4340 take the bending without yielding. Stainless 17-4PH (SUS630) shows up when corrosion and strength both matter.

Heat treat and finish come after the geometry is set. Hardcoat anodizing on a housing adds wear resistance but changes the bore by a few micrometers, so we mask bearing seats. Electroless nickel holds tight tolerances better on a shaft journal.

  • 1
    Housing6061-T6, 6082, ADC12 for die-cast volumes
  • 2
    Shaft4140, 4340, 17-4PH where corrosion matters
  • 3
    FinishMasked anodizing, electroless nickel, black oxide
Selection Guide

Reduction vs Overdrive vs Direct

What each arrangement does to speed and torque.

ArrangementSpeedTorqueTypical use
Reduction (i > 1)Falls by the ratioRises by the ratio × efficiencyRobot joints, winches, conveyors
Overdrive (i < 1)Rises by the ratioFalls by the ratio × efficiencySpindle drives, pump inputs
Direct (i = 1)UnchangedUnchanged minus bearing dragCoupling two shafts in line
Compound trainProduct of all stagesProduct of all stage ratiosHigh reduction in a short housing
What We Machine

Gearbox and Drive Train Parts

One shop for the housing, the shafts, and the small hardware around them.

01

Housings and covers

Bearing bores, seal grooves and mounting faces cut in one setup to keep center distance on the drawing.

02

Shafts and spindles

Turned and ground journals, keyways, splines and shoulders held to ±0.005 mm where the bearing sits.

03

Gear blanks

Blanks and finished bore-and-face features. We machine the body; hobbing and grinding are quoted with the same lot.

04

Flanges and adapters

Bolt patterns, pilot diameters and register fits for motor and reducer interfaces.

05

Brackets and mounts

5-axis cuts on thin ribs and angled pads without a second fixture or a weld.

06

Prototype to production

One unit or 10,000. The same drawing, the same inspection sheet, the same datum.

Capability

Machining Scope for Drive Parts

Numbers you can design against.

ItemRangeNotes
Tolerance±0.005 mm (±0.0002 in)On critical bores and journals
Surface finishRa 0.2–0.8 μm fineRa 0.8–1.6 μm on bearing fits
Max part size4,000 mmLarger travel: 4,000 × 400 × 150 mm
Rotary workØ400 mm table4-axis indexing for bolt circles
MaterialsAl, SS, steel, Cu, Ti6061, 4140, 17-4PH, Ti-6Al-4V
Inspection100% before shipmentReports on request
Why GreatLight

Built Around Tight Drive Parts

Six reasons engineers send us the parts that set backlash.

15Y

Machining since 2011

Fifteen years of turning and milling parts that have to fit on the first assembly.

±0.005

Tolerance in millimeters

The same band we hold on bearing bores applies to shaft journals and register fits.

127

CNC machines

Mills, lathes and mill-turn centers across three plants. No single machine becomes the bottleneck.

12h

Quote turnaround

Send a model in the morning and get a quote with DFM notes the same day.

99.99%

Qualification rate

Raw material check, in-process monitoring and final inspection on every lot.

0

Minimum order quantity

One prototype gearbox or a 10,000-part run. No setup fee gating a first article.

3Wholly-owned plants
7,600 m²Manufacturing space
150Technicians
4ISO certifications held
Industry Fit

What These Parts Have to Do

Leader in Cnc Machining Service China

Robotics and automation

Joint housings and harmonic drive adapters where backlash shows up as position error.

  • ±0.005 mm
  • Ra 0.8–1.6 μm
  • IATF 16949
GreatLight Metal new factory building

Automotive and EV

Reducer covers, motor mounts and sensor brackets that bolt to a fixed interface.

  • 99.99% qualification
  • 3–5 day ship
  • 100% inspection
Forge ahead with determination and create the future together.

Industrial machinery

Gearbox housings and shafts that run for years, so bore alignment decides service life.

  • 4,000 mm max size
  • Ø400 mm rotary
  • ISO 9001
oplus_262178

Aerospace

Actuator housings and gear blanks where weight and stiffness are both constrained.

  • Ti-6Al-4V
  • 5-axis
  • Reports on request
FAQs

Questions on Gear Ratio and Torque

Does a higher gear ratio always give more torque?

Only if the ratio number is greater than one and you mean a reduction. A 1.615:1 reduction takes input torque and multiplies it by 1.615, minus mesh losses. An overdrive with the same number does the opposite and cuts output torque.

Past a point, more reduction stops being free. Multi-stage trains add mesh losses, and a very high single-stage ratio on a worm drive can drop efficiency near 0.5. The torque budget, not the ratio, decides the limit.

How do I calculate output torque from a gear ratio?

Take input torque, multiply by the ratio, then multiply by the mesh efficiency. For a 2 N·m input, a 4:1 reduction and a 0.97 spur mesh, output is about 7.76 N·m at the shaft.

That figure is static. Under acceleration, add the inertia of the driven parts reflected back through the ratio squared. For reversing axes, check backlash separately because it changes the position, not the torque.

What efficiency should I use for a spur gear pair?

A well-lubricated spur or helical mesh runs about 0.97 to 0.99 per stage. Use 0.97 for sizing and you leave yourself a little margin.

Bevel and worm drives are different. Worm efficiency depends on the lead angle and drops quickly at low ratios. Below about 10:1, plan for 0.5 to 0.7 and check the heat the losses put into the oil.

Why does backlash change when the load reverses?

Backlash is the gap between non-working flanks. Under one direction of torque, the driving flanks stay in contact and the gap sits on the other side. Reverse the load and the teeth cross that gap before they carry torque.

The measured number also grows with wear and with housing deflection. If the axis needs tight bidirectional position, preload or a split gear is usually the answer, not a smaller nominal backlash.

How tight should the center distance be on a gearbox housing?

Tighter than most people expect. Center distance error moves the contact point along the tooth profile, and the teeth stop meeting near the pitch line. A few hundredths of a millimeter is enough to raise noise and load the tips.

We hold bearing bore position and center distance to ±0.005 mm on critical housings and cut both bores from one datum so the number survives assembly. If the design allows a floating idler or an adjustable mount, you can relax that band.

Can you machine both the housing and the shafts in one order?

Yes. Housings, covers, shafts, gear blanks, flanges and brackets all run through the same shop. That means one drawing set, one inspection sheet and one shipment instead of three vendors arguing about which part caused the interference.

We hold ISO 9001:2015, IATF 16949:2016, ISO 13485:2016 and ISO 27001:2022. Uploads stay confidential and we sign an NDA on request.

What do you need to quote a gearbox part?

A 3D model or a 2D drawing with the critical dimensions marked. Tell us the fit class on bearing bores, the material, the finish and whether the part sees reversing load.

A STEP file and a note on the function is usually enough. We return a quote with DFM notes within 12 hours, and production can start within 24 hours of a released drawing.

Is there a minimum order quantity?

No. We run from one prototype to 10,000+ part runs. A single housing for a test rig goes through the same inspection as a production lot.

Prototype parts typically ship in 3–5 days. Larger runs get a schedule with the quote so you can plan the assembly line around it.

Send Us the Parts That Set Backlash

Upload a STEP file and get a quote with DFM notes within 12 hours. No minimum order quantity, 100% inspection before shipment.

12-hour quote100% inspectionNo MOQNDA on request

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