Calculations

Coupling torque
public
Calculates coupling torque requirements based on electric motor nominal torque and application safety factor.

Required torque
$$ T_{cn} = {T_n . f_s} $$
Electrical motor nominal torque
public
Electrical motor nominal torque calculation based on motor nominal power and rotational speed.

Motor nominal torque
$$ T_n = {9550 . \left({ P_n \over n_n }\right)} $$
Euler's number
public

Euler's number
$$ e = {2.71828} $$
Gear module
public
Gear module from reference diameter and number of teeth

Gear module
$$ m_{gd} = {d_r \over z_g} $$
Gear module
public
Gear module from reference pitch

Gear module
$$ m_{gp} = {p_r \over \pi} $$
Gear reduction ratio
public
Reduction ratio of two gear wheels using number of teeth

First stage ratio
$$ i_{gr1} = {z_2 \over z_1} $$
Gearbox reduction ratio
public
Reduction ratio of 3 stage gearbox

Three stage gearbox ratio
$$ i_{gb3} = {i_{gr1} . i_{gr2} . i_{gr3}} $$
Rope reeving efficiency
public
Calculate efficiency of rope reeving arrangement

Efficiency
$$ \eta_{reeving} = {\eta_{sheave} ^ \left({ n_{sheaves} }\right)} $$
Rope sheave efficiency
public
Calculates sheave efficiency in a rope reeving arrangement based on Euler-Eytelwein equation

Sheave efficiency
$$ \eta_{sheave} = {1 \over \left({ e ^ \left({ \mu . \theta }\right) }\right)} $$
Wire rope breaking force
public
Calculate minimum required breaking force of a wire rope for a given reeving arrangement and a safety factor

Minimum required breaking force
$$ F_{breq} = {\left({ P_{load} . 9.81 . s_f }\right) \over \left({ n_{falls} . \eta_{reeving} }\right)} $$