As we can see from the table above - with
α angle = 60 degrees
β angle = 30 degrees
the force or tension F in the rope is doubled.
The force acting in the rope can be calculated as
Frope = θ F (1)
Frope = force acting in the rope (N, lb)
θ = increased force or tension factor from the table above
F = load (N, lb)
The force acting in the horizontal beam can be calculated as
Fbeam = (Frope2 + F2)1/2 (2)
The angle α can be calculated as
α = tan-1(h / d) (3)
α = angle (degrees)
h = vertical distance between horizontal beam and rope (m, ft)
d = length of horizontal beam (m, ft)
The angle β can be calculated as
β = tan-1(d / h) (4)
β = angle (degrees)
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 approximately 1.22 and the force in the rope can be calculated as
Frope = (500 kN) 1.22
= 610 kN
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