Screw Drive - Vertical

Load torque, acceleration torque, required torque and inertia ratio for motor sizing.

Speed (m/min)

Sliding mass (kg)

Screw length (m)

Screw diameter (m)

Screw density (kg/m3)

Screw lead (m)

Coupling mass (kg)

Coupling diameter (m)

Friction coefficient

Travel distance (m)

Mechanical efficiency

Positioning time (s)

Accel/decel ratio

External force (N)

Preload force (N)

Incline angle (deg)

Safety factor

Motor rotor inertia (kg.m2)

Formulas

F_axial = M·g·(1 + μ) + FA + Fpre      (vertical)
T_L = F_axial·P / (2π·η)
J_L = M·(P/2π)² + J_screw + J_coupling
T_S = J_L·ω / t_acc ;  T_M = (T_L + T_S)·S
T_RMS = √( Σ T_k²·t_k / Σ t_k )

Use safety factor >= 2 for vertical / intermittent motion.

Screw Drive - Vertical

Result

Formulas