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Euler's number
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beta stage
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Euler's number
public
Euler's number
$$ e = 2.7182800769806 \: $$
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e = 2.71828
Dependant calculations
3
Wire rope breaking force
public
Calculate minimum required breaking force of a wire rope for a given reeving arrangement and a safety factor
Load to be lifted
$$ P_{load} = 3 \: t $$ Number of rope falls
$$ n_{falls} = 1 \: $$ Safety factor
$$ s_f = 5.6 \: $$
Required breaking force
$$ F_{rope_{breq}} = {{( P_{load} \cdot g \cdot s_f ) \over \left({ n_{falls} \cdot \eta_{reeving} }\right)}} \:, kN $$
Rope reeving efficiency
public
Calculate efficiency of rope reeving arrangement
Number of sheaves
$$ n_{sheaves} = 2 \: $$
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
Friction coefficient of sheave bearing
$$ \mu = 0.005 \: $$ Wrap angle
$$ \theta = 3.1415 \: rad $$
Sheave efficiency
$$ \eta_{sheave} = {1 \over \left({ e ^ \left({ \mu \cdot \theta }\right) }\right)} $$
Discipline:
mechanical