In: Civil Engineering
A 40 m long concrete box culvert (n = 0.012) will be laid on a
slope S =
0.001. The inlet will have a headwall parallel the embankment and
the
entrance will be beveled on three sides. What should be the width,
b, of
the culvert if D = 1 m TW = 1.1 m, Q = 1.8 m3/s, and the HW <
3.0 m.
Assume that the outlet creates the maximum headwater for your
solution.
Given Data:-
L=40 m
n=Mannings Constant = .012
S=slope=0.001
D=1 m
TW=Tailwater depth=1.1 m
Q=discharge from culvert=1.8 m3/sec
HW=Headwater depth=3 m
The equation for headwater depth is given by-
where R= hydraulic radius
Putting all values in HW Equation, we get,
Solving this equation for b, we get,