A street gutter has a side slope of 25:1, a longitudinal slope of 0.03 and a Manning's "n" of 0.013. Compute the discharge rate and velocity if the depth of flow at the curb is 0.10 m. Compute the water depth and velocity if the discharge rate in the gutter is 0.12 cms.

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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Example: Gutter Flow
Water is flowing in a gutter at a depth of 0.40 ft. The gutter has a
Manning's n value of 0.017, a side slope of 20:1, and a longitudinal
slope of 0.01. Determine the discharge rate in the gutter using both
Manning's equation and the gutter flow equation. Estimate the error
in using the gutter flow equation.
A =
SS
1.49
0.017
1.6
Cm SS
n 3.2
Q
=10(0.4)² = 1.6 ft²
P = y(1 + V1 + SS²) = 0.4(1 + V1 + 400) = 8.01 ft
1.6 2/3
e
(0.01)¹1/2=4.79 cfs
8.01
Sin
Error
1.49
n
AR2/351/2
1.49 20
0.017 3.2
0.04
4.79
(0.4)(0.01)¹/2 = 4.75 cfs
X 100 -0.8%
Transcribed Image Text:Example: Gutter Flow Water is flowing in a gutter at a depth of 0.40 ft. The gutter has a Manning's n value of 0.017, a side slope of 20:1, and a longitudinal slope of 0.01. Determine the discharge rate in the gutter using both Manning's equation and the gutter flow equation. Estimate the error in using the gutter flow equation. A = SS 1.49 0.017 1.6 Cm SS n 3.2 Q =10(0.4)² = 1.6 ft² P = y(1 + V1 + SS²) = 0.4(1 + V1 + 400) = 8.01 ft 1.6 2/3 e (0.01)¹1/2=4.79 cfs 8.01 Sin Error 1.49 n AR2/351/2 1.49 20 0.017 3.2 0.04 4.79 (0.4)(0.01)¹/2 = 4.75 cfs X 100 -0.8%
A street gutter has a side slope of 25:1, a longitudinal slope of
0.03 and a Manning's “n” of 0.013. Compute the discharge
rate and velocity if the depth of flow at the curb is 0.10 m.
Compute the water depth and velocity if the discharge rate in
the gutter is 0.12 cms.
Transcribed Image Text:A street gutter has a side slope of 25:1, a longitudinal slope of 0.03 and a Manning's “n” of 0.013. Compute the discharge rate and velocity if the depth of flow at the curb is 0.10 m. Compute the water depth and velocity if the discharge rate in the gutter is 0.12 cms.
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