River and Canal Engineering, the characteristics of open flowing streams, and the principles and methods to be followed in dealing with them.Bellasis, E. S. (Edward Skelton)
Science
River and Canal Engineering, the characteristics of open flowing streams, and the principles and methods to be followed in dealing with them.
Bellasis, E. S. (Edward Skelton)
Canals; Hydraulic engineering; Rivers
These figures are probably quite safe enough even for the most
important works and for those where the heading up is constant. For
small works or for regulators (_Art. 5_) where the heading up is not
constant, steeper gradients are permissible. Much also depends on
the condition of the water. If it contains much silt, all interstices
will probably become choked up. The hydraulic gradient in the case of
the Narora weir across the Ganges was 1 in 11. The weir failed after
working for twenty years. It was rebuilt with a gradient of 1 in 16. In
the Zifta and Assiut regulators on the Nile the gradients are 1 in 16·4
and 1 in 21.
[Illustration: NARORA WEIR AS ORIGINALLY BUILT.]
[Illustration: NARORA WEIR AS RECONSTRUCTED.]
[Illustration: FOUNDATION OF THE ZIFTA REGULATOR, RIVER NILE.]
Regarding the upward pressure on the floor due to the hydrostatic
pressure from the head A B, there is a theory that the weight of a
portion of the floor at any point P should be able to balance the
pressure due to a head of water P R. This, supposing the masonry to be
twice as heavy as water, would give a thickness of floor equal to half
P R. According to Bligh, the theoretical thickness ought, for safety,
to be increased by one-third. Practically the thickness need not, in
most cases, be made even so great as is given by the theoretical rule.
On canals in the Punjab it is certainly less. Water passing through
soil or fine sand does not exert anything like the pressure which it
exerts when passing through a pipe. It acts in the same manner as in a
capillary tube. It is only in coarse sand or gravel or boulders that
water flows as in a pipe.[12] If the tail water covers the floor, the
weight of a portion of floor is reduced by the weight of an equal
volume of water. If the foundation of any part of the floor is higher
than B E, the upward pressure on it is reduced because the water has to
force its way upwards through the soil.
Bligh also states as an empirical rule that in order to provide
efficiently against scour the length of floor B E should be 4/_s_
√(H/13), where H is the maximum head A B; and he points out that in a
case where this length is less--as it usually is--than that necessary
to give a hydraulic gradient of the requisite flatness, according to
the rule previously quoted, it is better to add an upstream floor B
D, which may be of puddle and therefore cheap, than to add to the
downstream floor a length E C which must be of masonry or concrete, and
that this arrangement, by shifting the line of hydraulic gradient from
A E to F E, gives a reduced upward pressure on the downstream floor.
The length E N to which pitching, if of “rip-rap” type, should extend
is given by Bligh as 10/_s_ √(H/10) √(_q_/75), where _q_ is the maximum
discharge in cubic feet per second passing over a 1-foot length of the
weir, and H is the head A B.
Public-domain text, read in full here on John Shaqi.
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