Compute the volume of discharge over the watershed (m³) by computing the area under the hydrograph using Trapezoidal Rule. (or simply find the area of the triangle since the hydrograph is symmetric)
Compute the volume of discharge over the watershed (m³) by computing the area under the hydrograph using Trapezoidal Rule. (or simply find the area of the triangle since the hydrograph is symmetric)
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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HYDROLOGY CIVIL ENGINEERING
![From the Hydrograph in Figure 5, prove that it is indeed a Unit Hydrograph for Concepcion basin
a. Compute the volume of discharge over the watershed (m³) by computing the area under the hydrograph using
Trapezoidal Rule. (or simply find the area of the triangle since the hydrograph is symmetric)
b. Assuming that this discharge is from an excess rainfall distributed uniformly over the watershed area and given that the
area of Concepcion basin is 4.968 x 10³ m², deduce the validity of the Unit Hydrograph.
c. Be consistent with the units. Perform dimensional Analysis if needed. (e.g. convert time units into seconds, etc.)
Trapezoidal Rule
[ f(x) dx = ½ [ f(a) + 2 f (x₂) + 2ƒ (x3) +--- + 2ƒ (x,„) + ƒ (b)]
a
80
f(x3)
t (hr)
0
70
60
50
f(x2)
f(x4)
40
30
20
10
3
Discharge (m³/s)
O
f(a)
0.5
h = 1 hour (time step)
1.5
Time (hr)
(
2.5
of o
3.5
f(b)
AWNI
2
3
4
Q (m³/s)
0
34.5
69
34.5
0](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F85c3fec8-4917-4342-a06a-1a04a8075087%2F81e3b5eb-ac2f-41b4-80e1-e0fca27cd4f5%2Flbvm03b_processed.jpeg&w=3840&q=75)
Transcribed Image Text:From the Hydrograph in Figure 5, prove that it is indeed a Unit Hydrograph for Concepcion basin
a. Compute the volume of discharge over the watershed (m³) by computing the area under the hydrograph using
Trapezoidal Rule. (or simply find the area of the triangle since the hydrograph is symmetric)
b. Assuming that this discharge is from an excess rainfall distributed uniformly over the watershed area and given that the
area of Concepcion basin is 4.968 x 10³ m², deduce the validity of the Unit Hydrograph.
c. Be consistent with the units. Perform dimensional Analysis if needed. (e.g. convert time units into seconds, etc.)
Trapezoidal Rule
[ f(x) dx = ½ [ f(a) + 2 f (x₂) + 2ƒ (x3) +--- + 2ƒ (x,„) + ƒ (b)]
a
80
f(x3)
t (hr)
0
70
60
50
f(x2)
f(x4)
40
30
20
10
3
Discharge (m³/s)
O
f(a)
0.5
h = 1 hour (time step)
1.5
Time (hr)
(
2.5
of o
3.5
f(b)
AWNI
2
3
4
Q (m³/s)
0
34.5
69
34.5
0
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