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Bed Slope of Channel Section given Discharge Formula

GoBed Slope given Conveyance Factor Formula

GoManning's Formula for Bed Slope given Discharge Formula

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Bed Slope is used to calculate the shear stress at the bed of an open channel containing fluid that is undergoing steady, uniform flow. Check FAQs

S = \frac{{(\frac{Q}{C \cdot A cs})}^{2}}{R H}

S - Bed Slope?Q - Discharge of Channel?C - Chezy's Constant?A_cs - Cross-Sectional Area of Channel?R_H - Hydraulic Radius of Channel?

Bed Slope of Channel Section given Discharge Example

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Here is how the Bed Slope of Channel Section given Discharge equation looks like with Values.

Here is how the Bed Slope of Channel Section given Discharge equation looks like with Units.

Here is how the Bed Slope of Channel Section given Discharge equation looks like.

0.0003 = \frac{{(\frac{14}{40 \cdot 15})}^{2}}{1.6}

0.0003 = \frac{{(\frac{14m³/s}{40 \cdot 15m²})}^{2}}{1.6m}

0.0003 = \frac{{(\frac{14}{40 \cdot 15})}^{2}}{1.6}

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Bed Slope of Channel Section given Discharge Solution

Follow our step by step solution on how to calculate Bed Slope of Channel Section given Discharge?

FIRST Step Consider the formula

S = \frac{{(\frac{Q}{C \cdot A cs})}^{2}}{R H}

Next Step Substitute values of Variables

∴

S = \frac{{(\frac{14m³/s}{40 \cdot 15m²})}^{2}}{1.6m}

Next Step Prepare to Evaluate

∴

S = \frac{{(\frac{14}{40 \cdot 15})}^{2}}{1.6}

Next Step Evaluate

∴

S = 0.000340277777777778

LAST Step Rounding Answer

∴

S = 0.0003

Bed Slope of Channel Section given Discharge Formula Elements

Variables

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.

Symbol: S

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Bed Slope

Discharge of Channel

Discharge of Channel is the rate of flow of a liquid.

Symbol: Q

Measurement: Volumetric Flow RateUnit: m³/s

Note: Value should be greater than 0.

Formulas to find Discharge of Channel

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.

Symbol: C

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Chezy's Constant

Cross-Sectional Area of Channel

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.

Symbol: A_cs

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Cross-Sectional Area of Channel

Hydraulic Radius of 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.

Symbol: R_H

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Hydraulic Radius of Channel

Other Formulas to find Bed Slope

Go Bed Slope given Conveyance Factor

S = {(\frac{Q}{C f})}^{2}

Go Manning's Formula for Bed Slope given Discharge

S = {(\frac{Q}{C f})}^{2}

Other formulas in Computation of Uniform Flow category

Go Discharge through Channel

Q = C \cdot A cs \cdot \sqrt{R H \cdot S}

Go Area of Channel Section given Discharge

A cs = \frac{Q}{C \cdot \sqrt{R H \cdot S}}

Go Hydraulic Radius of Channel Section given Discharge

R H = \frac{{(\frac{Q}{C \cdot A cs})}^{2}}{S}

Go Chezy Constant given Discharge

C = \frac{Q}{A cs \cdot \sqrt{R H \cdot S}}

How to Evaluate Bed Slope of Channel Section given Discharge?

Bed Slope of Channel Section given Discharge evaluator uses Bed Slope = ((Discharge of Channel/(Chezy's Constant*Cross-Sectional Area of Channel))^2)/Hydraulic Radius of Channel to evaluate 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 evaluate Bed Slope of Channel Section given Discharge using this online evaluator? To use this online evaluator 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.

FAQs on Bed Slope of Channel Section given Discharge

What is the formula to find Bed Slope of Channel Section given Discharge?

The formula of Bed Slope of Channel Section given Discharge is expressed as Bed Slope = ((Discharge of Channel/(Chezy's Constant*Cross-Sectional Area of Channel))^2)/Hydraulic Radius of Channel. Here is an example- 0.006623 = ((14/(40*15))^2)/1.6.

How to calculate Bed Slope of Channel Section given Discharge?

With Discharge of Channel (Q), Chezy's Constant (C), Cross-Sectional Area of Channel (A_cs) & Hydraulic Radius of Channel (R_H) we can find Bed Slope of Channel Section given Discharge using the formula - Bed Slope = ((Discharge of Channel/(Chezy's Constant*Cross-Sectional Area of Channel))^2)/Hydraulic Radius of Channel.

What are the other ways to Calculate Bed Slope?

Here are the different ways to Calculate Bed Slope-

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

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: Unit

Bed Slope of Channel Section given Discharge Formula

​GoBed Slope given Conveyance Factor Formula

​GoManning's Formula for Bed Slope given Discharge Formula

Bed Slope of Channel Section given Discharge Example

Bed Slope of Channel Section given Discharge Solution

Bed Slope of Channel Section given Discharge Formula Elements

Other Formulas to find Bed Slope

Other formulas in Computation of Uniform Flow category

How to Evaluate Bed Slope of Channel Section given Discharge?

FAQs on Bed Slope of Channel Section given Discharge

Variable Name

GoBed Slope given Conveyance Factor Formula

GoManning's Formula for Bed Slope given Discharge Formula