EngineeringAmp.com

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Calculations

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Absolute pressure

Calculates absolute pressure for given gauge and atmospheric pressures.

$$ P_{abs} = {P_{atm} + P_{gauge}} $$

Atmospheric pressure

Pressure of the atmosphere at specific altitude.

Atmospheric pressure

$$ P_{atm} = {101.325} \: kPa $$

Classification of crane mechanism

Group classification of crane mechanism

Crane mechanism classification

Convert Celsius to Kelvin

Converts gas temperature from degrees Celsius (°C) to degrees Kelvin (°K)

Degree Kelvin

$$ T_{gas_K} = {T_{gas_C} + 273.15} $$

Coupling torque

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

Required torque

$$ T_{cn} = {T_n . f_s} $$

Crane classification

Group classification for the crane as a whole

Crane classification

Crane operating cycles

No. of operating cycles for required service life

Total service cycles

$$ crane_{cycles} = {hoist_{cycles_{day}} \cdot hoist_{days} \cdot hoist_{years}} $$

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

$$ e = {2.71828} \: $$

Gas Density

Calculate gas density using molecular weighr and compresibility factor.

$$ \rho_{gas} = {{( P_{abs} \cdot MW ) \over \left({ z_{gas} \cdot R_{gas} \cdot T_{gas_K} }\right)}} $$

Gauge pressure

Pressure measured by a gauge.

$$ P_{gauge} = {0} \: kPa $$

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 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

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

Hoist cycles per day

Number of hoist motion operating cycles in a day

Hoist motion cycles per day

$$ hoist_{cycles_{day}} = {hoist_{hours_{day}} \cdot cycles_{hour}} $$

Hoist hours per day

Operating time of hoist motion per day

Hoist motion hours per day

$$ hoist_{hours_{day}} = {{( hook_{cycles} \cdot hook_{travel} \cdot cycles_{hour} \cdot hours_{operating} ) \over \left({ v_{hoist} \cdot 60 }\right)}} $$

Load spectrum factor

Used to determine spectrum loading

Load spectrum factor

$$ K_{p_{crane}} = {0.63} \: $$

Load spectrum factor

Used to determine crane mechanism classification

Load spectrum factor

$$ K_{m_{crane}} = {0.63} \: $$