$$ e = 2.7182800769806 \:
$$
$$ g = 9.8066501617432 \:
{{m \over s ^ 2}}
$$
Calculates sheave efficiency in a rope reeving arrangement based on Euler-Eytelwein equation
Sheave efficiency
$$ \eta_{sheave} = {1 \over \left({ e ^ \left({ \mu \cdot \theta }\right) }\right)} $$
Calculate efficiency of rope reeving arrangement
Reeving Arrangement Efficiency
$$ \eta_{reeving} = {\eta_{sheave} ^ \left({ n_{sheaves} }\right)} $$
Number of sheaves in different rope reeving arrangements.
Reeving Arrangement |
No of sheeves |
2 / 1 |
1 sheeve |
4 / 1 |
3 sheeves |
4 / 2 |
1 sheeve |
8 / 2 |
3 sheeves |
Calculate minimum required breaking force of a wire rope for a given reeving arrangement and a safety factor
Number of rope falls in different rope reeving arrangements
Reeving arrangement |
No of rope falls |
2 / 1 |
2 fall |
4 / 1 |
4 fall |
4 / 2 |
4 falls |
8 / 2 |
8 falls |
Required breaking force
$$ F_{rope_{breq}} = {{( P_{load} \cdot g \cdot s_f ) \over \left({ n_{falls} \cdot \eta_{reeving} }\right)}} $$