Bed Slope using Mannings Equation Calculator

✖Mean Velocity of Culverts is defined as the average velocity of a fluid at a point and over an arbitrary time T.ⓘ Mean Velocity of Culverts [v_m]			+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%
✖Manning’s Roughness Coefficient represents the roughness or friction applied to the flow by the channel.ⓘ Manning’s Roughness Coefficient [n]			+10% -10%

✖Bed Slope of Channel is used to calculate the shear stress at the bed of an open channel containing fluid that is undergoing steady, uniform flow.ⓘ Bed Slope using Mannings Equation [S]

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Bed Slope using Mannings Equation Solution

STEP 0: Pre-Calculation Summary

Formula Used

Bed Slope of Channel = (Mean Velocity of Culverts/sqrt(2.2*Hydraulic Radius of Channel^(4/3)/(Manning’s Roughness Coefficient*Manning’s Roughness Coefficient)))^(2)
S = (v_m/sqrt(2.2*r_h^(4/3)/(n*n)))^(2)
This formula uses 1 Functions, 4 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Bed Slope of Channel - Bed Slope of Channel is used to calculate the shear stress at the bed of an open channel containing fluid that is undergoing steady, uniform flow.
Mean Velocity of Culverts - (Measured in Meter per Second) - Mean Velocity of Culverts is defined as the average velocity of a fluid at a point and over an arbitrary time T.
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.
Manning’s Roughness Coefficient - Manning’s Roughness Coefficient represents the roughness or friction applied to the flow by the channel.

STEP 1: Convert Input(s) to Base Unit

Mean Velocity of Culverts: 10 Meter per Second --> 10 Meter per Second No Conversion Required
Hydraulic Radius of Channel: 0.609 Meter --> 0.609 Meter No Conversion Required
Manning’s Roughness Coefficient: 0.012 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

S = (v_m/sqrt(2.2*r_h^(4/3)/(n*n)))^(2) --> (10/sqrt(2.2*0.609^(4/3)/(0.012*0.012)))^(2)

Evaluating ... ...

S = 0.0126799270340577

STEP 3: Convert Result to Output's Unit

0.0126799270340577 --> No Conversion Required

FINAL ANSWER

0.0126799270340577 ≈ 0.01268 <-- Bed Slope of Channel

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Hydraulics and Waterworks » Culverts » Culverts on Subcritical Slopes » Bed Slope using Mannings Equation

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Created by Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

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< Culverts on Subcritical Slopes Calculators

Entrance Loss Coefficient using formula for Head on Entrance measured from Bottom of Culvert

LaTeX Go Entrance Loss Coefficient = ((Total Head at Entrance of Flow-Normal Depth of Flow)/(Mean Velocity of Culverts*Mean Velocity of Culverts/(2*[g])))-1

Normal Depth of Flow given Head on Entrance measured from Bottom of Culvert

LaTeX Go Normal Depth of Flow = Total Head at Entrance of Flow-(Entrance Loss Coefficient+1)*(Mean Velocity of Culverts*Mean Velocity of Culverts/(2*[g]))

Head on Entrance measured from Bottom of Culvert

LaTeX Go Total Head at Entrance of Flow = (Entrance Loss Coefficient+1)*(Mean Velocity of Culverts*Mean Velocity of Culverts/(2*[g]))+Normal Depth of Flow

Velocity of Flow given Head on Entrance measured from Bottom of Culvert

LaTeX Go Mean Velocity of Culverts = sqrt((Total Head at Entrance of Flow-Normal Depth of Flow)*(2*[g])/(Entrance Loss Coefficient+1))

Bed Slope using Mannings Equation Formula

LaTeX Go

What is Mannings Formula?

The Manning formula is an empirical formula estimating the average velocity of a liquid flowing in a conduit that does not completely enclose the liquid, i.e., open channel flow.

How to Calculate Bed Slope using Mannings Equation?

Bed Slope using Mannings Equation calculator uses Bed Slope of Channel = (Mean Velocity of Culverts/sqrt(2.2*Hydraulic Radius of Channel^(4/3)/(Manning’s Roughness Coefficient*Manning’s Roughness Coefficient)))^(2) to calculate the Bed Slope of Channel, The Bed Slope using Mannings Equation is determining slope of channel bottom when values of Velocity of flow, Hydraulic radius, and Mannings coefficient are given. Bed Slope of Channel is denoted by S symbol.

How to calculate Bed Slope using Mannings Equation using this online calculator? To use this online calculator for Bed Slope using Mannings Equation, enter Mean Velocity of Culverts (v_m), Hydraulic Radius of Channel (r_h) & Manning’s Roughness Coefficient (n) and hit the calculate button. Here is how the Bed Slope using Mannings Equation calculation can be explained with given input values -> 0.01268 = (10/sqrt(2.2*0.609^(4/3)/(0.012*0.012)))^(2).

FAQ

What is Bed Slope using Mannings Equation?

The Bed Slope using Mannings Equation is determining slope of channel bottom when values of Velocity of flow, Hydraulic radius, and Mannings coefficient are given and is represented as S = (v_m/sqrt(2.2*r_h^(4/3)/(n*n)))^(2) or Bed Slope of Channel = (Mean Velocity of Culverts/sqrt(2.2*Hydraulic Radius of Channel^(4/3)/(Manning’s Roughness Coefficient*Manning’s Roughness Coefficient)))^(2). Mean Velocity of Culverts is defined as the average velocity of a fluid at a point and over an arbitrary time T, 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 Roughness Coefficient represents the roughness or friction applied to the flow by the channel.

How to calculate Bed Slope using Mannings Equation?

The Bed Slope using Mannings Equation is determining slope of channel bottom when values of Velocity of flow, Hydraulic radius, and Mannings coefficient are given is calculated using Bed Slope of Channel = (Mean Velocity of Culverts/sqrt(2.2*Hydraulic Radius of Channel^(4/3)/(Manning’s Roughness Coefficient*Manning’s Roughness Coefficient)))^(2). To calculate Bed Slope using Mannings Equation, you need Mean Velocity of Culverts (v_m), Hydraulic Radius of Channel (r_h) & Manning’s Roughness Coefficient (n). With our tool, you need to enter the respective value for Mean Velocity of Culverts, Hydraulic Radius of Channel & Manning’s Roughness Coefficient 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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