# Wire Rope Slings

## Sling angle and influence on capacity

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Slings angles affects ropes capacities.

If angle - *alpha* - is measured between

- the vertical line (as with gravity force), and
- the rope or wire

the relative capacity compared to a vertical straight lifting is reduced as indicated below:

Angle - α -(degrees) | Reduction Factor - f - |
---|---|

0 | 1.000 |

10 | 0.985 |

20 | 0.940 |

30 | 0.866 |

40 | 0.766 |

50 | 0.643 |

60 | 0.500 |

70 | 0.342 |

### Example - Capacity of a Single Rope or Wire

The capacity of a single rope that follows a vertical line is *100%* since the reduction factor is *1*.

If the weight of a body is *W* - the load in the wire is

*F = W (1)*

For a body with weight *1000 N* the load in the rope can be calculated

*F = 1000 N*

### Example - Capacity of Two Ropes (or Wires)

#### Two wires or ropes follows the vertical line

The capacity of two wires that follows the vertical line is *100%* since the reduction factor is *1*.

If the weight of a body is *W* - the load in each wire is

*F = W / 2 (2)*

For a body with weight *1000 N* the loads in the ropes can be calculated

*F = (1000 N) / 2*

* = 500 N*

#### Two wires - or ropes - with angle *30*^{o} to the vertical line

^{o}

The capacity of two wires with angle *30*^{o} to the vertical line is 86.6% since the reduction factor is *0.866*.

If the weight of a body is *W* - the load in each wire is

*F = (W / 2) / cos(30 ^{o})*

* = 1.15 W / 2 (3)*

For a body with weight *1000 N* the loads in the ropes can be calculated

*F = 1.15 (1000 N) / 2*

* = 575 N*

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