x
θ
T
1
dy
dx
wz
Consider the half span as shown in figure (1). The support P is at the same height as the
support at the other end of the span and the lowest point of the conductor, O is midway
between the supports.
Let the length of the conductor between O and P is z and the weight per unit length of the
conductor equal to w. Tension at O and P measured tangential to the conductor at these
points are T and
T1
respectively. Then resolving vertically,
=
………………………( )
T1sinθ wz
1
And horizontally,
= ……………………………………………………( )
T1cosθ T
2
Then from the above two equations,
=
=
=
………………………( )
tanθ wzT wzwc zc
3
This is true for every point along conductor. Considering an elemental length
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 Spring '11
 dr.sohrabuddin
 Vector Space, Elementary algebra, elemental length dz

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