Timing Belt Length Calculator

Belt length and centre distance

Work out the belt for your two pulleys

Pick the belt profile, enter both tooth counts and the centre distance. The belt length, nearest belts and wrap update as you type.

T
T
mm
Shaft centre to shaft centre
Units

Belt pitch length

750.6 mm 29.55 in · 93.8 teeth

Speed ratio
2.00 : 1
Pitch diameters
50.93 / 101.86 mm
Wrap on small pulley
168.5°
Teeth in mesh (small)
9
Nearest belts (whole teeth)
Belt teethPitch lengthCentre distance
93 T744.0 mm250.7 mm
94 T752.0 mm254.7 mm

Results are theoretical pitch lengths for an open, two-pulley drive. Check stock belt lengths with your belt supplier and allow centre adjustment for tensioning.

How it works

The formulas behind the calculator

  • Pitch diameter

    PD = teeth × pitch ÷ π

    The belt runs on the pitch circle, so lengths are worked out from pitch diameters, not outside diameters.

  • Belt length from centre distance

    L = 2C + π(D + d) ÷ 2 + (D − d)² ÷ 4C

    C is the centre distance, D and d the large and small pitch diameters.

  • Centre distance from belt length

    C = (b + √(b² − 8(D − d)²)) ÷ 8, where b = 2L − π(D + d)

    Used for the nearest belts, and when you already have the belt.

  • Wrap and teeth in mesh

    θ = 180° − 2 × asin((D − d) ÷ 2C)

    Teeth in mesh = small pulley teeth × θ ÷ 360. Keep it at 6 or more.

Profiles

Belt profiles and pitches in the calculator

We machine timing pulleys for each of these profiles, in aluminium, steel, cast iron and plastics.

Timing pulleys
Timing belt profiles and pitches
FamilyProfiles and pitchTypical use
HTDHTD 3M (3 mm), HTD 5M (5 mm), HTD 8M (8 mm), HTD 14M (14 mm), HTD 20M (20 mm)High torque drives: machine tools, pumps, compressors, conveyors
STD (S-profile)S3M (3 mm), S5M (5 mm), S8M (8 mm), S14M (14 mm)Quiet, high torque drives; same pitches as HTD
GTGT 2M (2 mm), GT 3M (3 mm), GT 5M (5 mm), GT 8M (8 mm), GT 14M (14 mm)Precise positioning and low backlash: CNC, printing, packaging
Metric TT2.5 (2.5 mm), T5 (5 mm), T10 (10 mm), T20 (20 mm)Linear motion, packaging and printing machines
ATAT3 (3 mm), AT5 (5 mm), AT10 (10 mm), AT20 (20 mm)High-load linear drives and automation
ImperialMXL (2.032 mm), XL (5.08 mm), L (9.525 mm), H (12.7 mm), XH (22.225 mm), XXH (31.75 mm)General machinery, conveyors and older imported machines

For your drive

Pulleys and bushes for the drive

All products

FAQ

Belt length questions

Work out each pulley's pitch diameter (teeth × pitch ÷ π), then belt length = 2C + π(D + d) ÷ 2 + (D − d)² ÷ 4C, where C is the centre distance. Divide the length by the pitch to get the number of belt teeth.

A timing belt has a whole number of teeth, so the exact length is rarely a stock belt. The calculator gives the belts just shorter and just longer, and the centre distance each one needs.

Aim for at least 6 teeth in mesh. With fewer, the belt can jump teeth under load, so use a bigger small pulley or longer centres.

Yes. Send the profile, tooth counts, bore and face width, or the numbers from this calculator, and we quote pulleys machined to suit.