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Force and Tension in Rope due to Angle

Reduced load capacity in ropes, cables or lines - due to angle

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Force and tension in rope or cable due to angle

The increased force or tension in a rope or cable due to angle:

Rope Angle with Load (degrees)Increased Force or Tension Factor
αβ
0 90 1.00
5 85 1.00
10 80 1.02
15 75 1.04
20 70 1.07
25 65 1.10
30 60 1.16
35 55 1.22
40 50 1.31
45 45 1.41
50 40 1.56
55 35 1.74
60 30 2.00
65 25 2.37
70 20 2.92
75 15 3.86
80 10 5.76
85 5 11.5

As we can see from the table above - with

α angle = 60 degrees

and

β angle = 30 degrees

the force or tension F in the rope is doubled. 

Example - Increased Force in a Rope due to Angle

Rope angle - force and increased tension - example

The maximum force in the rope in the figure above can be estimated by firs calculate the angles:

α = tan-1(3.1 / 4.3)

   = 35.8 o

β = tan-1(4.3 / 3.1)

   = 54.2 o

From the table above the tension factor is aprox. 1.22 and the maximum force or tension in the rope can be calculated as

Fmax = (500 kN) 1.22

         = 610 kN

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  • en: tension increase rope angle
  • es: tensión ángulo incremento cuerda
  • de: Spannungserhöhung Seilwinkel
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  • Engineering ToolBox, (2009). Force and Tension in Rope due to Angle. [online] Available at: https://www.engineeringtoolbox.com/rope-angle-tension-increase-d_1507.html [Accessed Day Mo. Year].

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