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Manning's equation is Q = where Cm AR 2/3 1/2 n Q = Cm = = flow (m³/s) 1.49 USC system 1.00 SI system roughness factor for various boundary conditions area (m2) hydraulic radius (m) n = A = R == = S = slope of EGL (or HGL for steady uniform flow conditions) m/m area/wetted perimeter Transform the above equation to solve for pipe diameter (mm) expressed in terms of flow (L/s), pipe slope (%) and pipe roughness "n". The value of Cm 1s 1.00 for a metric equation. Express your answer in the simplest form mathematically. Check by assuming arbitrary values and comparing the results between the original equation and the transformed equation.

Manning's equation is Q = where Cm AR 2/3 1/2 n Q = Cm = = flow (m³/s) 1.49 USC system 1.00 SI system roughness factor for various boundary conditions area (m2) hydraulic radius (m) n = A = R == = S = slope of EGL (or HGL for steady uniform flow conditions) m/m area/wetted perimeter Transform the above equation to solve for pipe diameter (mm) expressed in terms of flow (L/s), pipe slope (%) and pipe roughness "n". The value of Cm 1s 1.00 for a metric equation. Express your answer in the simplest form mathematically. Check by assuming arbitrary values and comparing the results between the original equation and the transformed equation.

Structural Analysis
Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Manning's equation is Q = where Cm AR 2/3 1/2 n Q = Cm = = flow (m³/s) 1.49 USC system 1.00 SI system roughness factor for various boundary conditions area (m2) hydraulic radius (m) n = A = R == = S = slope of EGL (or HGL for steady uniform flow conditions) m/m area/wetted perimeter Transform the above equation to solve for pipe diameter (mm) expressed in terms of flow (L/s), pipe slope (%) and pipe roughness "n". The value of Cm 1s 1.00 for a metric equation. Express your answer in the simplest form mathematically. Check by assuming arbitrary values and comparing the results between the original equation and the transformed equation.
Transcribed Image Text:Manning's equation is Q = where Cm AR 2/3 1/2 n Q = Cm = = flow (m³/s) 1.49 USC system 1.00 SI system roughness factor for various boundary conditions area (m2) hydraulic radius (m) n = A = R == = S = slope of EGL (or HGL for steady uniform flow conditions) m/m area/wetted perimeter Transform the above equation to solve for pipe diameter (mm) expressed in terms of flow (L/s), pipe slope (%) and pipe roughness "n". The value of Cm 1s 1.00 for a metric equation. Express your answer in the simplest form mathematically. Check by assuming arbitrary values and comparing the results between the original equation and the transformed equation.
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