KEVOS® MAKEOS · Mechanics

Wire Rope Reeving: Line Pull and Safety Factor

What pull is on the hoist rope with this reeving, and is the rope’s safety factor enough?

Line pull at the drum for a load reeved over several parts of line with sheave friction, the rope safety factor against its minimum breaking load, and the sheave-to-rope diameter ratio.

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How this tool works

Inputs, units and where to find them

InputUnitTypical source
Load mass (including hook block)kgMass lifted including the hook block and slings.
Parts of line supporting the loadpartsNumber of rope falls between the upper and lower blocks.
Efficiency per sheave%Efficiency of each sheave (about 98% for rolling bearings, 96% for plain bushes).
Rope minimum breaking loadkNMinimum breaking load from the rope certificate.
Required rope safety factorRope design factor required by your crane or hoist code (often 5 or more).
Sheave pitch diametermmPitch diameter of the smallest sheave.
Rope diametermmNominal rope diameter.
Required minimum D/dMinimum sheave-to-rope ratio from the code or rope maker.

Method and formulas

  1. Line pull F = W (1 − η) ÷ (1 − ηⁿ), with W = m g.
  2. Reeving efficiency = W ÷ (n F).
  3. Safety factor = MBL ÷ F; D/d = sheave ÷ rope diameter.
  4. Example: 5000 kg on 4 parts gives 12.632 kN line pull and a safety factor of 9.4995.

Limitations

  • Hoisting at steady speed; acceleration, dynamic and wind loads must be added per the code.
  • Lead and equaliser sheaves outside the block are not included.
  • Example values are illustrations. Replace them with values for your actual task.

Typical uses

  • Check hoist rope and drum pull for a block
  • Choose the number of parts of line
  • Check sheave size against the rope

Who it is for

  • Lifting engineers
  • Maintenance engineers
  • Crane and hoist designers

What you get

  • Line pull at the drum
  • Rope safety factor
  • Reeving efficiency
  • Sheave D/d ratio

Interpreting the result

  • Lifting equipment must meet its design code and be certified by a competent person.

References

  • Machinery’s Handbook, 29th edition (Industrial Press, 2012), printed pp. 2613–2650. Topic reference; no source tables or recommended settings are reproduced.

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Open the Wire Rope Reeving: Line Pull and Safety Factor calculator