Chain Drive

Deterministic engineering intelligence platform for mechanical, structural, and electrical designers. 91 modules validated solvers, 3D CAD workspace, and ISO/DIN standards compliance.

Loading...
▸Formula · assumptions · example(ISO 606:2015 · DIN 8187 (European Series) · DIN 8188 (ANSI Series))

Formula

d_p = \frac{p}{\sin(180^\circ / z)}, \quad L_p = 2 C_p + \frac{z_1 + z_2}{2} + \frac{(z_2 - z_1)^2}{4 \pi^2 C_p}

ISO 606 precision roller chain pitch diameter, center distance calculation, chain length in pitches, and strand tensile safety factor.

Assumptions

  • · Driving sprocket tooth count z1 ≥ 17 to mitigate chordal speed variation (polygon effect)
  • · Recommended center distance C ≈ 30 to 50 times chain pitch p with 1-2% nominal sag
  • · Adequate lubrication method (drip, bath, or forced oil) based on chain speed category

Worked example

Worked example — ISO 08B-1 (p = 12.7 mm, z1 = 19, z2 = 38, C = 500 mm)

Pitch diameters dp1 = 77.16 mm, dp2 = 153.80 mm. Chain length = 108 pitches (1371.6 mm) with exact adjusted center distance C = 504.2 mm.