Figure 1 - Geometry of Overhead Span



The shape of the a inelastic conductor between suspended between two supports is described by the catenary shape in figure 1, with the following equation:



Where the catenary constant C is:



H = horizontal component of conductor tension T (N)

W = resultant or inclined distributed conductor load (N)



Wind and Ice Conditons


The following equation  describe the effect of wind and ice on W:





Where:

P = wind pressure (Pa)

d = overall conductor diameter exposed to transverse wind (m)

r = radial ice thickness (m)

g = gravitational constant = 9.8067 m/s

m = conductor uint mass (kg/m)

ρ = ice density. Default to 900 kg/m^3



Conductor Sag


Conductor sag D is described by the following:



Where:

I = chord length between conductor supports (m)

L = span length (m)


Reference:

AS/NZS 7000:2016 Overhead Line Design


See Also:

Tip Load Calculation