Hydraulic Structures: Fourth Edition

(Amelia) #1
whereVais the approach velocity.
IfLeis the effective length of the crest, the head causing flow is given
by the weir formula:

H(Q/CdLe)2/3 (10.41)

whereQis the discharge and Cdis the discharge coefficient of the crest.
Therefore, the RL of the crest is E H.
Two types of crest are used (Fig. 10.18); the rectangular one for dis-
charges up to 10 m^3 s^1 and the trapezoidal one for larger discharges (see
Punmia and Lal, 1977).
The following are the design criteria established by extensive model
studies at the Irrigation Research Institute in India.


  1. For a rectangular crest,


top width, B0.55d1/2(m), (10.42)

base width, B 1 (Hd)/Ss, (10.43)

whereSsis the relative density of the crest material (for masonry,
Ss2). The discharge is given by the following formula:

Q1.835LH3/2(H/B)1/6. (10.44)


  1. For a trapezoidal crest,


top width, B0.55(Hd)1/2(m). (10.45)

For the base width, B 1 , upstream and downstream slopes of around 1

452 CROSS-DRAINAGE AND DROP STRUCTURES


Fig. 10.18 Sarda fall crests
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