Balancing Canal depth
Balancing Canal depth:
Balancing canal depth comes
when the canal is in partially embankment and partially in cutting.It is the
depth of the canal(H) which gives equal amount of filling(i.e earth required
for formation of Banks) and cutting(i.e earth from digging). For a given cross-section
of a canal, it has only one balancing depth. For this depth the canal sectional
will be economical.
B= Bed width.
b1,b2= width of embankment
of left and right side respectively.
d= excavation depth.
h= embankment height.
H=height of embankment from the bed of the canal.
H=height of embankment from the bed of the canal.
X- sectional
area in cutting =Bd+sd2
X-
sectional area in embankment = (b1+b2)h+2s1 h2
For balancing depth,
Area in cutting= Area in
embankment.
or, Bd+sd2
= (b1+b2)h+2s1 h2
or,
Bd+sd^2=(b1+b2)(H-d)+2s1(H-d)^2.
From this equation 'd' can
be calculated.
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