Manning's Formula for Hydraulic Radius given Chezy's Constant Calculator

✖Bed Slope is used to calculate the shear stress at the bed of an open channel containing fluid that is undergoing steady, uniform flow.ⓘ Bed Slope [S]			+10% -10%
✖Average Velocity of Flow is defined as the mean of all different velocities.ⓘ Average Velocity of Flow [V_avg]			+10% -10%
✖The Chezy's constant is a dimensionless quantity that can be calculated by three formulas, namely: Bazin Formula. Ganguillet -Kutter Formula. Manning's Formula.ⓘ Chezy's Constant [C]			+10% -10%

✖Hydraulic Radius of Channel is the ratio of the cross-sectional area of a channel or pipe in which a fluid is flowing to the wet perimeter of the conduit.ⓘ Manning's Formula for Hydraulic Radius given Chezy's Constant [R_H]

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Manning's Formula for Hydraulic Radius given Chezy's Constant Solution

STEP 0: Pre-Calculation Summary

Formula Used

Hydraulic Radius of Channel = (1/Bed Slope)*(Average Velocity of Flow/Chezy's Constant)^2
R_H = (1/S)*(V_avg/C)^2
This formula uses 4 Variables

Variables Used

Hydraulic Radius of Channel - (Measured in Meter) - Hydraulic Radius of Channel is the ratio of the cross-sectional area of a channel or pipe in which a fluid is flowing to the wet perimeter of the conduit.
Bed Slope - Bed Slope is used to calculate the shear stress at the bed of an open channel containing fluid that is undergoing steady, uniform flow.
Average Velocity of Flow - (Measured in Meter per Second) - Average Velocity of Flow is defined as the mean of all different velocities.
Chezy's Constant - The Chezy's constant is a dimensionless quantity that can be calculated by three formulas, namely: Bazin Formula. Ganguillet -Kutter Formula. Manning's Formula.

STEP 1: Convert Input(s) to Base Unit

Bed Slope: 0.0004 --> No Conversion Required
Average Velocity of Flow: 0.32 Meter per Second --> 0.32 Meter per Second No Conversion Required
Chezy's Constant: 40 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R_H = (1/S)*(V_avg/C)^2 --> (1/0.0004)*(0.32/40)^2

Evaluating ... ...

R_H = 0.16

STEP 3: Convert Result to Output's Unit

0.16 Meter --> No Conversion Required

FINAL ANSWER

0.16 Meter <-- Hydraulic Radius of Channel

(Calculation completed in 00.004 seconds)

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< Manning's Formula in Uniform Flow Calculators

Manning's Formula for Hydraulic Radius given Average Velocity

LaTeX Go Hydraulic Radius of Channel = (Average Velocity of Uniform Flow*Manning’s Roughness Coefficient/sqrt(Bed Slope))^(3/2)

Manning's Formula for Coefficient of Roughness given Average Velocity

LaTeX Go Manning’s Roughness Coefficient = (1/Average Velocity of Uniform Flow)*(Bed Slope^(1/2))*(Hydraulic Radius of Channel^(2/3))

Manning's Formula for Average Velocity

LaTeX Go Average Velocity of Uniform Flow = (1/Manning’s Roughness Coefficient)*(Hydraulic Radius of Channel^(2/3))*(Bed Slope^(1/2))

Manning's Formula for Slope of Channel Bed given Average Velocity

LaTeX Go Bed Slope = (Average Velocity of Uniform Flow*Manning’s Roughness Coefficient/(Hydraulic Radius of Channel^(2/3)))^(2)

Manning's Formula for Hydraulic Radius given Chezy's Constant Formula

LaTeX Go

Hydraulic Radius of Channel = (1/Bed Slope)*(Average Velocity of Flow/Chezy's Constant)^2
R_H = (1/S)*(V_avg/C)^2

What is Slope of Bed?

The Slope of the bed is used to calculate the shear stress at the bed of an open channel containing fluid that is undergoing steady, uniform flow. It is widely used in river engineering, stream restoration.

How to Calculate Manning's Formula for Hydraulic Radius given Chezy's Constant?

Manning's Formula for Hydraulic Radius given Chezy's Constant calculator uses Hydraulic Radius of Channel = (1/Bed Slope)*(Average Velocity of Flow/Chezy's Constant)^2 to calculate the Hydraulic Radius of Channel, The Manning's Formula for Hydraulic Radius given Chezy's Constant formula is defined as the inverse of the slope of the bed, and the square of the ratio of the velocity to the Chezy's constant. Hydraulic Radius of Channel is denoted by R_H symbol.

How to calculate Manning's Formula for Hydraulic Radius given Chezy's Constant using this online calculator? To use this online calculator for Manning's Formula for Hydraulic Radius given Chezy's Constant, enter Bed Slope (S), Average Velocity of Flow (V_avg) & Chezy's Constant (C) and hit the calculate button. Here is how the Manning's Formula for Hydraulic Radius given Chezy's Constant calculation can be explained with given input values -> 0.16 = (1/0.0004)*(0.32/40)^2.

FAQ

What is Manning's Formula for Hydraulic Radius given Chezy's Constant?

The Manning's Formula for Hydraulic Radius given Chezy's Constant formula is defined as the inverse of the slope of the bed, and the square of the ratio of the velocity to the Chezy's constant and is represented as R_H = (1/S)*(V_avg/C)^2 or Hydraulic Radius of Channel = (1/Bed Slope)*(Average Velocity of Flow/Chezy's Constant)^2. Bed Slope is used to calculate the shear stress at the bed of an open channel containing fluid that is undergoing steady, uniform flow, Average Velocity of Flow is defined as the mean of all different velocities & The Chezy's constant is a dimensionless quantity that can be calculated by three formulas, namely: Bazin Formula. Ganguillet -Kutter Formula. Manning's Formula.

How to calculate Manning's Formula for Hydraulic Radius given Chezy's Constant?

The Manning's Formula for Hydraulic Radius given Chezy's Constant formula is defined as the inverse of the slope of the bed, and the square of the ratio of the velocity to the Chezy's constant is calculated using Hydraulic Radius of Channel = (1/Bed Slope)*(Average Velocity of Flow/Chezy's Constant)^2. To calculate Manning's Formula for Hydraulic Radius given Chezy's Constant, you need Bed Slope (S), Average Velocity of Flow (V_avg) & Chezy's Constant (C). With our tool, you need to enter the respective value for Bed Slope, Average Velocity of Flow & Chezy's Constant and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Hydraulic Radius of Channel?

In this formula, Hydraulic Radius of Channel uses Bed Slope, Average Velocity of Flow & Chezy's Constant. We can use 1 other way(s) to calculate the same, which is/are as follows -

Hydraulic Radius of Channel = (Average Velocity of Uniform Flow*Manning’s Roughness Coefficient/sqrt(Bed Slope))^(3/2)

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