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

✖Average Velocity of Uniform Flow is defined as the mean of all different velocities.ⓘ Average Velocity of Uniform Flow [V_avg(U)]			+10% -10%
✖Manning’s Roughness Coefficient represents the roughness or friction applied to the flow by the channel.ⓘ Manning’s Roughness Coefficient [n]			+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.ⓘ Hydraulic Radius of Channel [R_H]			+10% -10%

✖Bed Slope is used to calculate the shear stress at the bed of an open channel containing fluid that is undergoing steady, uniform flow.ⓘ Manning's Formula for Slope of Channel Bed given Average Velocity [S]

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

Formula

`"S" = ("V"_{"avg(U)"}*"n"/("R"_{"H"}^(2/3)))^(2)`

Example

`"4.9E^-5"=("0.796m/s"*"0.012"/(("1.6m")^(2/3)))^(2)`

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

STEP 0: Pre-Calculation Summary

Formula Used

Bed Slope = (Average Velocity of Uniform Flow*Manning’s Roughness Coefficient/(Hydraulic Radius of Channel^(2/3)))^(2)
S = (V_avg(U)*n/(R_H^(2/3)))^(2)
This formula uses 4 Variables

Variables Used

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 Uniform Flow - (Measured in Meter per Second) - Average Velocity of Uniform Flow is defined as the mean of all different velocities.
Manning’s Roughness Coefficient - Manning’s Roughness Coefficient represents the roughness or friction applied to the flow by the channel.
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.

STEP 1: Convert Input(s) to Base Unit

Average Velocity of Uniform Flow: 0.796 Meter per Second --> 0.796 Meter per Second No Conversion Required
Manning’s Roughness Coefficient: 0.012 --> No Conversion Required
Hydraulic Radius of Channel: 1.6 Meter --> 1.6 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

S = (V_avg(U)*n/(R_H^(2/3)))^(2) --> (0.796*0.012/(1.6^(2/3)))^(2)

Evaluating ... ...

S = 4.87560653743276E-05

STEP 3: Convert Result to Output's Unit

4.87560653743276E-05 --> No Conversion Required

FINAL ANSWER

4.87560653743276E-05 ≈ 4.9E-5 <-- Bed Slope

(Calculation completed in 00.004 seconds)

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< 7 Manning's Formula in Uniform Flow Calculators

Manning's Formula for Hydraulic Radius given Average Velocity

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

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

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

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

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

Manning's Formula for Roughness Coefficient given Chezy's Constant

Go Manning’s Roughness Coefficient = (1/Chezy's Constant)*Hydraulic Depth^(1/6)

Manning's Coefficient using Strickler Formula

Go Manning’s Roughness Coefficient = (Roughness Value^(1/6))/21

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

Bed Slope = (Average Velocity of Uniform Flow*Manning’s Roughness Coefficient/(Hydraulic Radius of Channel^(2/3)))^(2)
S = (V_avg(U)*n/(R_H^(2/3)))^(2)

What is Manning's Equation?

The Mannings equation is an empirical equation that applies to uniform flow in open channels and is a function of the channel velocity, flow area and channel slope. Under the assumption of uniform flow conditions the bottom slope is the same as the slope of the energy grade line and the water surface slope.

How to Calculate Manning's Formula for Slope of Channel Bed given Average Velocity?

Manning's Formula for Slope of Channel Bed given Average Velocity calculator uses Bed Slope = (Average Velocity of Uniform Flow*Manning’s Roughness Coefficient/(Hydraulic Radius of Channel^(2/3)))^(2) to calculate the Bed Slope, The Manning's Formula for Slope of Channel Bed given Average Velocity formula is defined as the elevation of the channel with respect to horizontal. Bed Slope is denoted by S symbol.

How to calculate Manning's Formula for Slope of Channel Bed given Average Velocity using this online calculator? To use this online calculator for Manning's Formula for Slope of Channel Bed given Average Velocity, enter Average Velocity of Uniform Flow (V_avg(U)), Manning’s Roughness Coefficient (n) & Hydraulic Radius of Channel (R_H) and hit the calculate button. Here is how the Manning's Formula for Slope of Channel Bed given Average Velocity calculation can be explained with given input values -> 4.9E-5 = (0.796*0.012/(1.6^(2/3)))^(2).

FAQ

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

The Manning's Formula for Slope of Channel Bed given Average Velocity formula is defined as the elevation of the channel with respect to horizontal and is represented as S = (V_avg(U)*n/(R_H^(2/3)))^(2) or Bed Slope = (Average Velocity of Uniform Flow*Manning’s Roughness Coefficient/(Hydraulic Radius of Channel^(2/3)))^(2). Average Velocity of Uniform Flow is defined as the mean of all different velocities, Manning’s Roughness Coefficient represents the roughness or friction applied to the flow by the channel & 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.

How to calculate Manning's Formula for Slope of Channel Bed given Average Velocity?

The Manning's Formula for Slope of Channel Bed given Average Velocity formula is defined as the elevation of the channel with respect to horizontal is calculated using Bed Slope = (Average Velocity of Uniform Flow*Manning’s Roughness Coefficient/(Hydraulic Radius of Channel^(2/3)))^(2). To calculate Manning's Formula for Slope of Channel Bed given Average Velocity, you need Average Velocity of Uniform Flow (V_avg(U)), Manning’s Roughness Coefficient (n) & Hydraulic Radius of Channel (R_H). With our tool, you need to enter the respective value for Average Velocity of Uniform Flow, Manning’s Roughness Coefficient & Hydraulic Radius of Channel and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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