A detention reservoir was found to have a linear storage discharge relationship, Q = KQ (a) Show that the storage_routing equation of an inflow hydrograph through this reservoir is Q, =C, I, +C¿Q, where C, and C, are constants and ī, = (1, +1,)/ 2. Determine the values of C, and C, in terms of K and the routing time step At.

Structural Analysis
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Author:KASSIMALI, Aslam.
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Chapter2: Loads On Structures
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A detention reservoir was found to have a linear storage discharge relationship, Q= KQ
(a) Show that the storage_routing equation of an inflow hydrograph through
this reservoir is Q, = C,I, +C,Q, where C, and C, are constants and I=(4, +1,)/
2. Determine the values of C, and C, in terms of K and the routing time step Ar.
(b) If K = 4.0 h and At = 2 h, route the following inflow hydrograph through this
reservoir. Assume the initial condition that at 1 = 0, 1, = Q, = 0.
Time (h)
Inflow (m³/s)
2
4
8
10
12
14
16
18
20
60
100
80
60
40
30
20
10
Transcribed Image Text:A detention reservoir was found to have a linear storage discharge relationship, Q= KQ (a) Show that the storage_routing equation of an inflow hydrograph through this reservoir is Q, = C,I, +C,Q, where C, and C, are constants and I=(4, +1,)/ 2. Determine the values of C, and C, in terms of K and the routing time step Ar. (b) If K = 4.0 h and At = 2 h, route the following inflow hydrograph through this reservoir. Assume the initial condition that at 1 = 0, 1, = Q, = 0. Time (h) Inflow (m³/s) 2 4 8 10 12 14 16 18 20 60 100 80 60 40 30 20 10
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