Head on Entrance measured from Bottom of Culvert using Mannings formula Calculator

✖Entrance Loss Coefficient is defined as the amount of head lost at entrance.ⓘ Entrance Loss Coefficient [K_e]			+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 of Channel [S]			+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%
✖Normal Depth of Flow is a depth of flow in a channel or culvert when the slope of the water surface and channel bottom is the same and the water depth remains constant.ⓘ Normal Depth of Flow [h]			+10% -10%

✖Total Head at Entrance of Flow is the measure of fluid's potential at the entrance.ⓘ Head on Entrance measured from Bottom of Culvert using Mannings formula [H_in]

⎘ Copy

👎

Formula

✖

Head on Entrance measured from Bottom of Culvert using Mannings formula

Formula

`"H"_{"in"} = ("K"_{"e"}+1)*((2.2*"S"*"r"_{"h"}^(4/3)/("n"*"n"))/(2*"[g]"))+"h"`

Example

`"10.64731m"=("0.85"+1)*((2.2*"0.0127"*("0.609m")^(4/3)/("0.012"*"0.012"))/(2*"[g]"))+"1.2m"`

Calculator

LaTeX

Reset

👍

Download Culverts Formulas PDF PDF Image

Head on Entrance measured from Bottom of Culvert using Mannings formula Solution

STEP 0: Pre-Calculation Summary

Formula Used

Total Head at Entrance of Flow = (Entrance Loss Coefficient+1)*((2.2*Bed Slope of Channel*Hydraulic Radius of Channel^(4/3)/(Manning’s Roughness Coefficient*Manning’s Roughness Coefficient))/(2*[g]))+Normal Depth of Flow
H_in = (K_e+1)*((2.2*S*r_h^(4/3)/(n*n))/(2*[g]))+h
This formula uses 1 Constants, 6 Variables

Constants Used

[g] - Gravitational acceleration on Earth Value Taken As 9.80665

Variables Used

Total Head at Entrance of Flow - (Measured in Meter) - Total Head at Entrance of Flow is the measure of fluid's potential at the entrance.
Entrance Loss Coefficient - Entrance Loss Coefficient is defined as the amount of head lost at entrance.
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.
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.
Normal Depth of Flow - (Measured in Meter) - Normal Depth of Flow is a depth of flow in a channel or culvert when the slope of the water surface and channel bottom is the same and the water depth remains constant.

STEP 1: Convert Input(s) to Base Unit

Entrance Loss Coefficient: 0.85 --> No Conversion Required
Bed Slope of Channel: 0.0127 --> 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
Normal Depth of Flow: 1.2 Meter --> 1.2 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

H_in = (K_e+1)*((2.2*S*r_h^(4/3)/(n*n))/(2*[g]))+h --> (0.85+1)*((2.2*0.0127*0.609^(4/3)/(0.012*0.012))/(2*[g]))+1.2

Evaluating ... ...

H_in = 10.6473068967848

STEP 3: Convert Result to Output's Unit

10.6473068967848 Meter --> No Conversion Required

FINAL ANSWER

10.6473068967848 ≈ 10.64731 Meter <-- Total Head at Entrance of Flow

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Civil » Hydraulics and Waterworks » Culverts » Culverts on Subcritical Slopes » Head on Entrance measured from Bottom of Culvert using Mannings formula

Credits

Created by Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

Rithik Agrawal has created this Calculator and 1300+ more calculators!

Verified by Ishita Goyal

Meerut Institute of Engineering and Technology (MIET), Meerut

Ishita Goyal has verified this Calculator and 2600+ more calculators!

< 11 Culverts on Subcritical Slopes Calculators

Entrance Loss Coefficient given Head on Entrance using Mannings formula

Go Entrance Loss Coefficient = ((Total Head at Entrance of Flow-Normal Depth of Flow)/((2.2*Bed Slope of Channel*Hydraulic Radius of Channel^(4/3)/((Manning’s Roughness Coefficient*Manning’s Roughness Coefficient)))/(2*[g])))-1

Normal Depth of Flow given Head on Entrance measured from Bottom using Mannings formula

Go Normal Depth of Flow = Total Head at Entrance of Flow-(Entrance Loss Coefficient+1)*((2.2*Bed Slope of Channel*Hydraulic Radius of Channel^(4/3)/((Manning’s Roughness Coefficient*Manning’s Roughness Coefficient)))/(2*[g]))

Head on Entrance measured from Bottom of Culvert using Mannings formula

Go Total Head at Entrance of Flow = (Entrance Loss Coefficient+1)*((2.2*Bed Slope of Channel*Hydraulic Radius of Channel^(4/3)/(Manning’s Roughness Coefficient*Manning’s Roughness Coefficient))/(2*[g]))+Normal Depth of Flow

Bed Slope using Mannings Equation

Go 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)

Manning's Formula for Hydraulic Radius given Velocity of Flow in Culverts

Go Hydraulic Radius of Channel = (Mean Velocity of Culverts/sqrt(2.2*Bed Slope of Channel/(Manning’s Roughness Coefficient*Manning’s Roughness Coefficient)))^(2/3)

Velocity of Flow through Mannings Formulas in Culverts

Go Mean Velocity of Culverts = sqrt(2.2*Bed Slope of Channel*Hydraulic Radius of Channel^(4/3)/(Manning’s Roughness Coefficient*Manning’s Roughness Coefficient))

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

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

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

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

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

Manning's Formula for Roughness Coefficient given Velocity of Flow in Culverts

Go Manning’s Roughness Coefficient = sqrt(2.2*Bed Slope of Channel*Hydraulic Radius of Channel^(4/3))/Mean Velocity of Culverts

Head on Entrance measured from Bottom of Culvert using Mannings formula Formula

What is Normal Depth?

Normal depth is the depth of flow in a channel or culvert when the slope of the water surface and channel bottom is the same and the water depth remains constant. Normal depth occurs when gravitational force of the water is equal to the friction drag along the culvert and there is no acceleration of flow.

How to Calculate Head on Entrance measured from Bottom of Culvert using Mannings formula?

Head on Entrance measured from Bottom of Culvert using Mannings formula calculator uses Total Head at Entrance of Flow = (Entrance Loss Coefficient+1)*((2.2*Bed Slope of Channel*Hydraulic Radius of Channel^(4/3)/(Manning’s Roughness Coefficient*Manning’s Roughness Coefficient))/(2*[g]))+Normal Depth of Flow to calculate the Total Head at Entrance of Flow, The Head on Entrance measured from Bottom of Culvert using Mannings formula is defined as amount of potential energy at the entrance of culverts. Total Head at Entrance of Flow is denoted by H_in symbol.

How to calculate Head on Entrance measured from Bottom of Culvert using Mannings formula using this online calculator? To use this online calculator for Head on Entrance measured from Bottom of Culvert using Mannings formula, enter Entrance Loss Coefficient (K_e), Bed Slope of Channel (S), Hydraulic Radius of Channel (r_h), Manning’s Roughness Coefficient (n) & Normal Depth of Flow (h) and hit the calculate button. Here is how the Head on Entrance measured from Bottom of Culvert using Mannings formula calculation can be explained with given input values -> 10.64731 = (0.85+1)*((2.2*0.0127*0.609^(4/3)/(0.012*0.012))/(2*[g]))+1.2.

FAQ

What is Head on Entrance measured from Bottom of Culvert using Mannings formula?

The Head on Entrance measured from Bottom of Culvert using Mannings formula is defined as amount of potential energy at the entrance of culverts and is represented as H_in = (K_e+1)*((2.2*S*r_h^(4/3)/(n*n))/(2*[g]))+h or Total Head at Entrance of Flow = (Entrance Loss Coefficient+1)*((2.2*Bed Slope of Channel*Hydraulic Radius of Channel^(4/3)/(Manning’s Roughness Coefficient*Manning’s Roughness Coefficient))/(2*[g]))+Normal Depth of Flow. Entrance Loss Coefficient is defined as the amount of head lost at entrance, 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, 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 & Normal Depth of Flow is a depth of flow in a channel or culvert when the slope of the water surface and channel bottom is the same and the water depth remains constant.

How to calculate Head on Entrance measured from Bottom of Culvert using Mannings formula?

The Head on Entrance measured from Bottom of Culvert using Mannings formula is defined as amount of potential energy at the entrance of culverts is calculated using Total Head at Entrance of Flow = (Entrance Loss Coefficient+1)*((2.2*Bed Slope of Channel*Hydraulic Radius of Channel^(4/3)/(Manning’s Roughness Coefficient*Manning’s Roughness Coefficient))/(2*[g]))+Normal Depth of Flow. To calculate Head on Entrance measured from Bottom of Culvert using Mannings formula, you need Entrance Loss Coefficient (K_e), Bed Slope of Channel (S), Hydraulic Radius of Channel (r_h), Manning’s Roughness Coefficient (n) & Normal Depth of Flow (h). With our tool, you need to enter the respective value for Entrance Loss Coefficient, Bed Slope of Channel, Hydraulic Radius of Channel, Manning’s Roughness Coefficient & Normal Depth of Flow 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 Total Head at Entrance of Flow?

In this formula, Total Head at Entrance of Flow uses Entrance Loss Coefficient, Bed Slope of Channel, Hydraulic Radius of Channel, Manning’s Roughness Coefficient & Normal Depth of Flow. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

Home

FREE PDFs

🔍 Search