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Manning's Formula for Slope of Channel Bed given Average Velocity 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 = {(V avg(U) \cdot \frac{n}{{R H}^{\frac{2}{3}}})}^{2}

S - Bed Slope?V_avg(U) - Average Velocity of Uniform Flow?n - Manning’s Roughness Coefficient?R_H - Hydraulic Radius of Channel?

Manning's Formula for Slope of Channel Bed given Average Velocity Example

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Here is how the Manning's Formula for Slope of Channel Bed given Average Velocity equation looks like with Values.

Here is how the Manning's Formula for Slope of Channel Bed given Average Velocity equation looks like with Units.

Here is how the Manning's Formula for Slope of Channel Bed given Average Velocity equation looks like.

4.9E-5 = {(0.796 \cdot \frac{0.012}{{1.6}^{\frac{2}{3}}})}^{2}

4.9E-5 = {(0.796m/s \cdot \frac{0.012}{{1.6m}^{\frac{2}{3}}})}^{2}

4.9E-5 = {(0.796 \cdot \frac{0.012}{{1.6}^{\frac{2}{3}}})}^{2}

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Manning's Formula for Slope of Channel Bed given Average Velocity Solution

Follow our step by step solution on how to calculate Manning's Formula for Slope of Channel Bed given Average Velocity?

FIRST Step Consider the formula

S = {(V avg(U) \cdot \frac{n}{{R H}^{\frac{2}{3}}})}^{2}

Next Step Substitute values of Variables

∴

S = {(0.796m/s \cdot \frac{0.012}{{1.6m}^{\frac{2}{3}}})}^{2}

Next Step Prepare to Evaluate

∴

S = {(0.796 \cdot \frac{0.012}{{1.6}^{\frac{2}{3}}})}^{2}

Next Step Evaluate

∴

S = 4.87560653743276E-05

LAST Step Rounding Answer

∴

S = 4.9E-5

Manning's Formula for Slope of Channel Bed given Average Velocity 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

Average Velocity of Uniform Flow

Average Velocity of Uniform Flow is defined as the mean of all different velocities.

Symbol: V_avg(U)

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Average Velocity of Uniform Flow

Manning’s Roughness Coefficient

Manning’s Roughness Coefficient represents the roughness or friction applied to the flow by the channel.

Symbol: n

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Manning’s Roughness Coefficient

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 in Manning's Formula in Uniform Flow category

Go Manning's Formula for Average Velocity

V avg(U) = (\frac{1}{n}) \cdot ({R H}^{\frac{2}{3}}) \cdot (S^{\frac{1}{2}})

Go Manning's Formula for Hydraulic Radius given Average Velocity

R H = {(V avg(U) \cdot \frac{n}{\sqrt{S}})}^{\frac{3}{2}}

Go Manning's Formula for Coefficient of Roughness given Average Velocity

n = (\frac{1}{V avg(U)}) \cdot (S^{\frac{1}{2}}) \cdot ({R H}^{\frac{2}{3}})

Go Manning's Formula for Roughness Coefficient given Chezy's Constant

n = (\frac{1}{C}) \cdot {D Hydraulic}^{\frac{1}{6}}

How to Evaluate Manning's Formula for Slope of Channel Bed given Average Velocity?

Manning's Formula for Slope of Channel Bed given Average Velocity evaluator uses Bed Slope = (Average Velocity of Uniform Flow*Manning’s Roughness Coefficient/(Hydraulic Radius of Channel^(2/3)))^(2) to evaluate the Bed Slope, The Manning's Formula for Slope of Channel Bed given Average Velocity formula is defined as the elevation of the channel with respect to horizontal. Bed Slope is denoted by S symbol.

How to evaluate Manning's Formula for Slope of Channel Bed given Average Velocity using this online evaluator? To use this online evaluator for Manning's Formula for Slope of Channel Bed given Average Velocity, enter Average Velocity of Uniform Flow (V_avg(U)), Manning’s Roughness Coefficient (n) & Hydraulic Radius of Channel (R_H) and hit the calculate button.

FAQs on Manning's Formula for Slope of Channel Bed given Average Velocity

What is the formula to find Manning's Formula for Slope of Channel Bed given Average Velocity?

The formula of Manning's Formula for Slope of Channel Bed given Average Velocity is expressed as Bed Slope = (Average Velocity of Uniform Flow*Manning’s Roughness Coefficient/(Hydraulic Radius of Channel^(2/3)))^(2). Here is an example- 4.9E-5 = (0.796*0.012/(1.6^(2/3)))^(2).

How to calculate Manning's Formula for Slope of Channel Bed given Average Velocity?

With Average Velocity of Uniform Flow (V_avg(U)), Manning’s Roughness Coefficient (n) & Hydraulic Radius of Channel (R_H) we can find Manning's Formula for Slope of Channel Bed given Average Velocity using the formula - Bed Slope = (Average Velocity of Uniform Flow*Manning’s Roughness Coefficient/(Hydraulic Radius of Channel^(2/3)))^(2).

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Manning's Formula for Slope of Channel Bed given Average Velocity Formula

Manning's Formula for Slope of Channel Bed given Average Velocity Example

Manning's Formula for Slope of Channel Bed given Average Velocity Solution

Manning's Formula for Slope of Channel Bed given Average Velocity Formula Elements

Other formulas in Manning's Formula in Uniform Flow category

How to Evaluate Manning's Formula for Slope of Channel Bed given Average Velocity?

FAQs on Manning's Formula for Slope of Channel Bed given Average Velocity

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