Application Guidelines · Doc 146B

Line Pull: Grade Resistance & Friction

The pull needed to move a load depends on its weight, the slope it climbs and what it slides or rolls on. Work it out from these two tables, then add parts of line if one line isn’t enough.

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Required line pull

Required line pull
Required Line Pull = W × (GR + CF)
W
weight of the load (lbs)
GR
grade resistance (table below)
CF
coefficient of friction (table below)

Coefficients of friction

Approximate ranges.

SurfacesCoefficient of friction (CF)
Steel on steel0.40 – 0.60
Wood on concrete0.40 – 0.60
Steel on concrete0.30 – 0.70
Load on wheels0.02 – 0.05
Load on rollers0.05 – 0.10

Grade resistance

Percent grade
% Grade = AB
A
rise
B
run
Level base line A rise B run grade
% grade = rise ÷ run (A ÷ B). A 100% grade rises 1 ft for every 1 ft of run.
% GradeGrade resistance (GR)
50.050
100.100
200.196
300.288
400.372
500.448
600.513
700.573
800.624
900.669
1000.701
2000.896
4000.970
Vertical1.000

Using multiple parts of line

When the required line pull is more than the unit’s single line pull, reeve the rope through sheaves.

  1. Divide the total required line pull by the available single line pull. The result is the multiplier.
  2. In the column for your sheave type, find the first value greater than the multiplier. The number of parts of line is in that row.
Parts of lineNylatron sheavesBronze bushed sheavesRoller bearing sheaves
21.861.911.96
32.582.762.88
43.163.533.77
53.604.244.63
63.904.895.45
7—5.486.24
8—6.037.00

Worked example

Total required line pull is 7,400 lbs; available single line pull is 2,000 lbs.

7,400 lbs ÷ 2,000 lbs = 3.70 multiplier

  • Nylatron sheaves: the first value above 3.70 is 3.90 → 6 parts of line
  • Bronze bushed sheaves: the first value above 3.70 is 4.24 → 5 parts of line
  • Roller bearing sheaves: the first value above 3.70 is 3.77 → 4 parts of line

Rig 6 parts with Nylatron sheaves, 5 with bronze bushed sheaves, or 4 with roller bearing sheaves.

More on reeving, including diagrams: Utilizing Multiple Parts of Line.

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