Chain & Sprocket Calculation Center
DİNAMİK ZİNCİR
Dinamik Transmisyon Zincir Tic. ve San. A.Ş. | www.dinamikzincir.com25.10.2026 13:51
Use our engineering tools below to calculate sprocket manufacturing diameters (DIN 8187 BS & DIN 8188 ASA), speed & transmission ratios, chain length & link count, linear chain speed, or identify standard chain types from your caliper measurements.
Sprocket Diameter & Manufacturing Calculator
DIN 8187 · BS SerisiSelected Sprocket Tooth Width (mm)
View Product Page| Chain | Pitch (in) | Pitch p (mm) | B1 (1x) | b1 (2x/3x) | B2 (2x) | B3 (3x) |
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All Standard Sizes (Click a Row to Select)
| Chain | Inch | p (mm) | Ø D (d1) | B1 | b1 | B2 | B3 |
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Speed & Transmission Ratio Inputs
i = Z2 / Z1Calculated Speed, Ratio & Torque Results
Chain Length & Link Count Inputs
L = X · pCalculated Link Count & Chain Length
Chain Speed & Tensile Force Inputs
v = (Z · p · n) / 60000Calculated Speed, Force & Lubrication Advice
Identify Chain Type from Dimensions
BS & ASAEnter any caliper measurements you have (you do not need to fill all fields). The system automatically ranks matching standard chains:
Matching Standard Chain Types
0 Matches| Match | DIN / ISO Code | Series | p (mm) | b1 Min | d1 Max | d2 (Pim) | a1 / a | Action |
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Request a Free Chain Wear Measurement Gauge
Check the wear and elongation condition of your roller and leaf chains easily. Submit your corporate application form.
Chain & Sprocket Calculation Guide (Formulas & Selection Criteria)
1. How to Calculate Sprocket Diameter?
For DIN 8187 (BS) and DIN 8188 (ASA) roller chain sprockets, pitch circle diameter is calculated as dp = p / sin(180° / Z), where p is pitch (mm) and Z is the number of teeth.
2. Tooth Count & Transmission Ratio Selection
To minimize polygon effect, noise and wear, a minimum of 17 teeth (19–25 for high speeds) is recommended on the driving sprocket. Single-stage transmission ratio (i = Z2 / Z1) should ideally not exceed 1:7.
3. Chain Length & Center Distance
Optimum center distance is typically 30 to 50 times the chain pitch (30p – 50p). Rounding the link count (X) to an even integer avoids offset links, while an odd tooth count on the pinion ensures uniform wear.
4. Technical Support Since 1960
Dinamik Zincir provides full engineering and stock support for Iwis, Eurochain, CZ Favorit, Ewart, DBC (Dong Bo), Renold, Ditton and custom conveyor chains & sprockets.
Technical References, Standards & Formula Sources (DIN / ISO / ANSI & MRC–MRT–MDC–MDT)
- Chain Dimension Standards: European (BS) series roller chains (03B–72B) follow ISO 606 / DIN 8187 / BS 228; American (ASA) series chains (ASA 25–240 / 04C–48A) follow ISO 606 / DIN 8188 / ANSI B29.1 standard tables.
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Sprocket Diameter & Geometry Formulas (DIN 8196 / ISO 606):
• Pitch Circle Diameter:dp = p / sin(180° / Z)
• Root Diameter (Theoretical):df = dp - d1
• Tip Diameter Limits:da(min) = dp + 0.8·d1,da(tavsiye) = dp + 0.9·d1,da(max) = dp + d1
• Maximum Hub Diameter:dg(max) = (dp - 1.01·p) × 0.75
• Tooth Widths (B1, b1, B2, B3): DIN 8196 / ISO 606 (h14)
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MRC, MRT, MDC & MDT Quality Control & Tolerance Values:
Inspection dimensions over gauge pins/rollers in sprocket manufacturing. Tolerance band is based on ISO 286-2 (DIN ISO 286-2) grade h11 (standard root diameter df tolerance specified in ISO 606 Section 4):
•MRC= Nominal roller seating / pitch check diameter (dp)
•MRT=MRC + IT11(dp)(Upper limit with ISO 286-2 h11 tolerance)
•MDC= Practical root check diameter (dp - 2 × 0.505 × p)
•MDT=MDC + IT11(dp)(Root check dimension with ISO 286-2 h11 tolerance)
ISO 286-2 IT11: ≤3mm: 0.060 | 3–6mm: 0.070 | 6–10mm: 0.080 | 10–18mm: 0.090 | 18–30mm: 0.110 | 30–50mm: 0.130 | 50–80mm: 0.160 | 80–120mm: 0.190 | 120–180mm: 0.220 | 180–250mm: 0.250 | 250–315mm: 0.280 | 315–400mm: 0.320 | >400mm: 0.360 mm. -
Kinematics, Torque & Chain Length (DIN 8195 / ISO 10823):
i = Z2 / Z1,n2 = n1 / i,M1 = 9550 × P(kW) / n1,v = (Z1 × p × n1) / 60000,X = 2·(a/p) + (Z1+Z2)/2 + ((Z2-Z1)/(2π))² · (p/a)