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Manning's Formula for Bed Slope given Discharge Formula

GoBed Slope of Channel Section given Discharge Formula

GoBed Slope given Conveyance Factor 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{Q}{C f})}^{2}

S - Bed Slope?Q - Discharge of Channel?C_f - Conveyance Factor?

Manning's Formula for Bed Slope given Discharge Example

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Here is how the Manning's Formula for Bed Slope given Discharge equation looks like with Values.

Here is how the Manning's Formula for Bed Slope given Discharge equation looks like with Units.

Here is how the Manning's Formula for Bed Slope given Discharge equation looks like.

0.0004 = {(\frac{14}{700})}^{2}

0.0004 = {(\frac{14m³/s}{700})}^{2}

0.0004 = {(\frac{14}{700})}^{2}

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Manning's Formula for Bed Slope given Discharge Solution

Follow our step by step solution on how to calculate Manning's Formula for Bed Slope given Discharge?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

S = {(\frac{14m³/s}{700})}^{2}

Next Step Prepare to Evaluate

∴

S = {(\frac{14}{700})}^{2}

LAST Step Evaluate

∴

S = 0.0004

Manning's Formula for Bed Slope 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

Conveyance Factor

Conveyance factor is the ratio of the discharge, Q, in a channel to the square root of the energy gradient, Sf.

Symbol: C_f

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Conveyance Factor

Other Formulas to find Bed Slope

Go Bed Slope of Channel Section given Discharge

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

Go Bed Slope given Conveyance Factor

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 Manning's Formula for Bed Slope given Discharge?

Manning's Formula for Bed Slope given Discharge evaluator uses Bed Slope = (Discharge of Channel/Conveyance Factor)^2 to evaluate the Bed Slope, The Manning's Formula for Bed Slope given Discharge formula is used to calculate the slope of the channel with respect to the horizontal line on ground level. Bed Slope is denoted by S symbol.

How to evaluate Manning's Formula for Bed Slope given Discharge using this online evaluator? To use this online evaluator for Manning's Formula for Bed Slope given Discharge, enter Discharge of Channel (Q) & Conveyance Factor (C_f) and hit the calculate button.

FAQs on Manning's Formula for Bed Slope given Discharge

What is the formula to find Manning's Formula for Bed Slope given Discharge?

The formula of Manning's Formula for Bed Slope given Discharge is expressed as Bed Slope = (Discharge of Channel/Conveyance Factor)^2. Here is an example- 0.0004 = (14/700)^2.

How to calculate Manning's Formula for Bed Slope given Discharge?

With Discharge of Channel (Q) & Conveyance Factor (C_f) we can find Manning's Formula for Bed Slope given Discharge using the formula - Bed Slope = (Discharge of Channel/Conveyance Factor)^2.

What are the other ways to Calculate Bed Slope?

Here are the different ways to Calculate Bed Slope-

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

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