Bed Slope of Channel Section given Discharge Calculator

✖Discharge of Channel is the rate of flow of a liquid.ⓘ Discharge of Channel [Q]			+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%
✖Cross-Sectional Area of Channel is the area of a two-dimensional shape that is obtained when a three-dimensional shape is sliced perpendicular to some specified axis at a point.ⓘ Cross-Sectional Area of Channel [A_cs]			+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.ⓘ Bed Slope of Channel Section given Discharge [S]

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Bed Slope of Channel Section given Discharge Solution

STEP 0: Pre-Calculation Summary

Formula Used

Bed Slope = ((Discharge of Channel/(Chezy's Constant*Cross-Sectional Area of Channel))^2)/Hydraulic Radius of Channel
S = ((Q/(C*A_cs))^2)/R_H
This formula uses 5 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.
Discharge of Channel - (Measured in Cubic Meter per Second) - Discharge of Channel is the rate of flow of a liquid.
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.
Cross-Sectional Area of Channel - (Measured in Square Meter) - Cross-Sectional Area of Channel is the area of a two-dimensional shape that is obtained when a three-dimensional shape is sliced perpendicular to some specified axis at a point.
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

Discharge of Channel: 14 Cubic Meter per Second --> 14 Cubic Meter per Second No Conversion Required
Chezy's Constant: 40 --> No Conversion Required
Cross-Sectional Area of Channel: 15 Square Meter --> 15 Square Meter 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 = ((Q/(C*A_cs))^2)/R_H --> ((14/(40*15))^2)/1.6

Evaluating ... ...

S = 0.000340277777777778

STEP 3: Convert Result to Output's Unit

0.000340277777777778 --> No Conversion Required

FINAL ANSWER

0.000340277777777778 ≈ 0.00034 <-- Bed Slope

(Calculation completed in 00.004 seconds)

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National Institute of Technology Karnataka (NITK), Surathkal

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< Computation of Uniform Flow Calculators

Area of Channel Section given Discharge

LaTeX Go Cross-Sectional Area of Channel = Discharge of Channel/(Chezy's Constant*sqrt(Hydraulic Radius of Channel*Bed Slope))

Discharge through Channel

LaTeX Go Discharge of Channel = Chezy's Constant*Cross-Sectional Area of Channel*sqrt(Hydraulic Radius of Channel*Bed Slope)

Hydraulic Radius of Channel Section given Discharge

LaTeX Go Hydraulic Radius of Channel = ((Discharge of Channel/(Chezy's Constant*Cross-Sectional Area of Channel))^2)/Bed Slope

Bed Slope of Channel Section given Discharge

LaTeX Go Bed Slope = ((Discharge of Channel/(Chezy's Constant*Cross-Sectional Area of Channel))^2)/Hydraulic Radius of Channel

Bed Slope of Channel Section given Discharge Formula

LaTeX Go

Bed Slope = ((Discharge of Channel/(Chezy's Constant*Cross-Sectional Area of Channel))^2)/Hydraulic Radius of Channel
S = ((Q/(C*A_cs))^2)/R_H

What is Chezy Constant?

This equation is called as Chezy's Formula. Where, A is the area of flow of water, m is the hydraulic mean depth or hydraulic radius, 'i' is the slope of the bed and 'C' is the Chezy's Constant.

How to Calculate Bed Slope of Channel Section given Discharge?

Bed Slope of Channel Section given Discharge calculator uses Bed Slope = ((Discharge of Channel/(Chezy's Constant*Cross-Sectional Area of Channel))^2)/Hydraulic Radius of Channel to calculate the Bed Slope, Bed Slope of Channel Section given Discharge is defined as elevation of channel with respect to horizontal. Bed Slope is denoted by S symbol.

How to calculate Bed Slope of Channel Section given Discharge using this online calculator? To use this online calculator for Bed Slope of Channel Section given Discharge, enter Discharge of Channel (Q), Chezy's Constant (C), Cross-Sectional Area of Channel (A_cs) & Hydraulic Radius of Channel (R_H) and hit the calculate button. Here is how the Bed Slope of Channel Section given Discharge calculation can be explained with given input values -> 0.006623 = ((14/(40*15))^2)/1.6.

FAQ

What is Bed Slope of Channel Section given Discharge?

Bed Slope of Channel Section given Discharge is defined as elevation of channel with respect to horizontal and is represented as S = ((Q/(C*A_cs))^2)/R_H or Bed Slope = ((Discharge of Channel/(Chezy's Constant*Cross-Sectional Area of Channel))^2)/Hydraulic Radius of Channel. Discharge of Channel is the rate of flow of a liquid, The Chezy's constant is a dimensionless quantity that can be calculated by three formulas, namely: Bazin Formula. Ganguillet -Kutter Formula. Manning's Formula, Cross-Sectional Area of Channel is the area of a two-dimensional shape that is obtained when a three-dimensional shape is sliced perpendicular to some specified axis at a point & 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 Bed Slope of Channel Section given Discharge?

Bed Slope of Channel Section given Discharge is defined as elevation of channel with respect to horizontal is calculated using Bed Slope = ((Discharge of Channel/(Chezy's Constant*Cross-Sectional Area of Channel))^2)/Hydraulic Radius of Channel. To calculate Bed Slope of Channel Section given Discharge, you need Discharge of Channel (Q), Chezy's Constant (C), Cross-Sectional Area of Channel (A_cs) & Hydraulic Radius of Channel (R_H). With our tool, you need to enter the respective value for Discharge of Channel, Chezy's Constant, Cross-Sectional Area of Channel & 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.

How many ways are there to calculate Bed Slope?

In this formula, Bed Slope uses Discharge of Channel, Chezy's Constant, Cross-Sectional Area of Channel & Hydraulic Radius of Channel. We can use 2 other way(s) to calculate the same, which is/are as follows -

Bed Slope = (Discharge of Channel/Conveyance Factor)^2
Bed Slope = (Discharge of Channel/Conveyance Factor)^2

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