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Gear module

Gear module from reference pitch

Gear module

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

Gear module

Gear module from reference diameter and number of teeth

Gear module

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

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

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

Idler speed

Rotating speed of conveyor idler.

Idler speed

$$ idler_{rpm} = {{( v_{conv} \cdot 60 ) \over \left({ \pi \cdot D_{idler} }\right)}} \; \; , {rpm} $$

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

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

Material surcharge angle (deg)

Surcharge angle of material used in conveyor calculations.

Surcharge angle

$$ \beta_{surcharge} = {20} \; \; , {°} $$

Material surcharge angle (rad)

Surcharge angle of material used in conveyor calculations.

Surcharge angle

$$ \beta_{surcharge_{rad}} = {\beta_{surcharge} \cdot {\pi \over 180}} \; \; , {rad} $$

No. of hoist cycles per hour

Number of hoist cycles per hour, used in class of utilisation for the crane as a whole.

No. of hoist cycles per hour

$$ cycles_{hour} = {4} \; \; $$

Pipe friction head loss

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

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

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

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

Slurry SG

Calculate specific gravity of slurry, with known solids concentration, using Cv, Cw and Sw,

Slurry specific gravity

$$ S_{m_{vw}} = {S_w \cdot {( {C_v \over 100} - 1 ) \over \left({ {C_w \over 100} - 1 }\right)}} \; \; $$

Slurry SG

Calculate specific gravity of slurry, with known volumetric concentration, using Cv, S and Sw,

Slurry specific gravity

$$ S_{m_v} = {S_w + \left({ {C_v \over 100 }}\right) \cdot \left({ S - S_w }\right)} \; \; $$

Slurry SG

Calculate specific gravity of slurry, with known solids mass concentration, using Cw, S and Sw,

Slurry specific gravity

$$ S_{m_w} = {{S_w \over \left({ 1 - \left({ {C_w \over 100 }}\right) \cdot \left({ 1 - {S_w \over S }}\right) }\right)}} \; \; $$

System curve factor

Determines relationship between flow and head loss in a pipeline

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

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