Rack & Pinion Drive

Horizontal / vertical rack & pinion: required force, permissible force and motor torque.

Note

Moving mass m (kg)

Speed v (m/s)

Accel time Tb (s)

Friction coefficient (mu)

Load factor ka

Service-life factor Fn

Safety factor Sb

Linear-load factor Lkhb

Pinion pitch diameter (mm)

Rack max drive force Fubab (kN, manual)

Formulas

F_h = (m·g·μ + m·a) / 1000        [kN]
F_v = (m·g + m·a) / 1000          [kN]
a   = v / Tb
T   = F · (d_p / 2)               [N·m]
Fuzul = Fubab / (ka·sb·fn·lkhb)

Fuzul must be greater than F

Rack & Pinion Drive

Result

Formulas