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Calculations

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Coupling torque

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

Electrical motor nominal torque calculation based on motor nominal power and rotational speed.

Motor nominal torque

$$ T_n = {9550 \cdot \left({ {P_n \over n_n} }\right)} $$

Euler's number

Euler's number

$$ e = {2.71828} \: $$

Gear module

Gear module from reference diameter and number of teeth

Gear module

$$ m_{gd} = {{d_{r1} \over z_g}} $$

Gear module

Gear module from reference pitch

Gear module

$$ m_{gp} = {p_r \over \pi} $$

Gear module normal

Normal gear module.

Module

$$ m_n = {4} \: mm $$

Gear reduction ratio

Reduction ratio of two gear wheels using number of teeth

First stage ratio

$$ i_{gr1} = {z_2 \over z_1} $$

Gearbox reduction ratio

Reduction ratio of 3 stage gearbox

Three stage gearbox ratio

$$ i_{gb3} = {i_{gr1} . i_{gr2} . i_{gr3}} $$

Gravity of Earth

Standard Earth gravity

Gravity

$$ g = {9.80665} \: m/s^2 $$

No of teeth

Number of teeth of gear wheel.

No. of teeth

$$ z_1 = {20} \: $$

Pipe friction head loss

Calculates head loss due to wall friction in pipelines using Darcy friction factor.

Head loss

$$ Hf_{pipe} = {f_{Darcy} \cdot \left({ \left({ L_{pipe} \cdot V_{fluid} ^ 2 }\right) \over \left({ ID_{pipe} \cdot 2 \cdot g }\right) }\right)} $$

Reference diameter

Reference diameter (pitch diameter) of straight cut cylindrical gear.

Reference diameter

$$ d_{r1} = {m_n \cdot z_1} $$

Rope reeving efficiency

Calculate efficiency of rope reeving arrangement

Reeving Arrangement Efficiency

$$ \eta_{reeving} = {\eta_{sheave} ^ \left({ n_{sheaves} }\right)} $$

Rope sheave efficiency

Calculates sheave efficiency in a rope reeving arrangement based on Euler-Eytelwein equation

Sheave efficiency

$$ \eta_{sheave} = {1 \over \left({ e ^ \left({ \mu \cdot \theta }\right) }\right)} $$

System curve factor

Determines relationship between flow and head loss in a pipeline

$$ k_{system} = {h_{loss} \over q ^ 2} $$

Wire rope breaking force

Calculate minimum required breaking force of a wire rope for a given reeving arrangement and a safety factor

Minimum required breaking force

$$ F_{breq} = {\left({ P_{load} \cdot g \cdot s_f }\right) \over \left({ n_{falls} \cdot \eta_{reeving} }\right)} $$