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Chezy Formula for Bed Slope given Normal Depth of Wide Rectangular Channel Formula

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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. Check FAQs

S 0 = (({(\frac{C}{Y n})}^{3}) \cdot \frac{[g]}{{C VF}^{2}})

S₀ - Bed Slope of Channel?C - Critical Depth of Channel?Y_n - Normal Depth of Varied Flow?C_VF - Chézy’s Coefficients for Varied Flow?[g] - Gravitational acceleration on Earth?

Chezy Formula for Bed Slope given Normal Depth of Wide Rectangular Channel Example

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Here is how the Chezy Formula for Bed Slope given Normal Depth of Wide Rectangular Channel equation looks like with Values.

Here is how the Chezy Formula for Bed Slope given Normal Depth of Wide Rectangular Channel equation looks like with Units.

Here is how the Chezy Formula for Bed Slope given Normal Depth of Wide Rectangular Channel equation looks like.

3.9998 = (({(\frac{3}{0.24})}^{3}) \cdot \frac{9.8066}{{69.2}^{2}})

3.9998 = (({(\frac{3m}{0.24m})}^{3}) \cdot \frac{9.8066m/s²}{{69.2}^{2}})

3.9998 = (({(\frac{3}{0.24})}^{3}) \cdot \frac{9.8066}{{69.2}^{2}})

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Chezy Formula for Bed Slope given Normal Depth of Wide Rectangular Channel Solution

Follow our step by step solution on how to calculate Chezy Formula for Bed Slope given Normal Depth of Wide Rectangular Channel?

FIRST Step Consider the formula

S 0 = (({(\frac{C}{Y n})}^{3}) \cdot \frac{[g]}{{C VF}^{2}})

Next Step Substitute values of Variables

∴

S 0 = (({(\frac{3m}{0.24m})}^{3}) \cdot \frac{[g]}{{69.2}^{2}})

Next Step Substitute values of Constants

∴

S 0 = (({(\frac{3m}{0.24m})}^{3}) \cdot \frac{9.8066m/s²}{{69.2}^{2}})

Next Step Prepare to Evaluate

∴

S 0 = (({(\frac{3}{0.24})}^{3}) \cdot \frac{9.8066}{{69.2}^{2}})

Next Step Evaluate

∴

S 0 = 3.9998022990348

LAST Step Rounding Answer

∴

S 0 = 3.9998

Chezy Formula for Bed Slope given Normal Depth of Wide Rectangular Channel Formula Elements

Variables

Constants

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.

Symbol: S₀

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Bed Slope of Channel

Critical Depth of Channel

Critical Depth of Channel occurs when the flow in a channel has a minimum specific energy.

Symbol: C

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Critical Depth of Channel

Normal Depth of Varied Flow

Normal Depth of Varied 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.

Symbol: Y_n

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Normal Depth of Varied Flow

Chézy’s Coefficients for Varied Flow

Chézy’s Coefficients for Varied Flow is a function of the flow Reynolds Number - Re - and the relative roughness - ε/R - of the channel.

Symbol: C_VF

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Chézy’s Coefficients for Varied Flow

Gravitational acceleration on Earth

Gravitational acceleration on Earth means that the velocity of an object in free fall will increase by 9.8 m/s2 every second.

Symbol: [g]

Value: 9.80665 m/s²

Other formulas in Integration of the Varied Flow Equation category

Go Manning's Formula for Energy Slope

S f = \frac{{(n \cdot v m,R)}^{2}}{{R H}^{\frac{4}{3}}}

Go Manning's Formula for Roughness Coefficient given Energy Slope

n = {(\frac{S f}{\frac{{(v m,R)}^{2}}{{R H}^{\frac{4}{3}}}})}^{\frac{1}{2}}

Go Manning's Formula for Hydraulic Radius given Energy Slope

R H = {(\frac{{(n \cdot v m,R)}^{2}}{S f})}^{\frac{3}{4}}

Go Manning's Formula for Mean Velocity given Energy Slope

v m,R = {(\frac{S f}{\frac{{(n)}^{2}}{{R H}^{\frac{4}{3}}}})}^{\frac{1}{2}}

How to Evaluate Chezy Formula for Bed Slope given Normal Depth of Wide Rectangular Channel?

Chezy Formula for Bed Slope given Normal Depth of Wide Rectangular Channel evaluator uses Bed Slope of Channel = (((Critical Depth of Channel/Normal Depth of Varied Flow)^3)*[g]/Chézy’s Coefficients for Varied Flow^2) to evaluate the Bed Slope of Channel, The Chezy Formula for Bed Slope given Normal Depth of Wide Rectangular Channel formula is defined as the formula which is used to calculate the channel slope of open channel flow. Bed Slope of Channel is denoted by S₀ symbol.

How to evaluate Chezy Formula for Bed Slope given Normal Depth of Wide Rectangular Channel using this online evaluator? To use this online evaluator for Chezy Formula for Bed Slope given Normal Depth of Wide Rectangular Channel, enter Critical Depth of Channel (C), Normal Depth of Varied Flow (Y_n) & Chézy’s Coefficients for Varied Flow (C_VF) and hit the calculate button.

FAQs on Chezy Formula for Bed Slope given Normal Depth of Wide Rectangular Channel

What is the formula to find Chezy Formula for Bed Slope given Normal Depth of Wide Rectangular Channel?

The formula of Chezy Formula for Bed Slope given Normal Depth of Wide Rectangular Channel is expressed as Bed Slope of Channel = (((Critical Depth of Channel/Normal Depth of Varied Flow)^3)*[g]/Chézy’s Coefficients for Varied Flow^2). Here is an example- 3.999802 = (((3/0.24)^3)*[g]/69.2^2).

How to calculate Chezy Formula for Bed Slope given Normal Depth of Wide Rectangular Channel?

With Critical Depth of Channel (C), Normal Depth of Varied Flow (Y_n) & Chézy’s Coefficients for Varied Flow (C_VF) we can find Chezy Formula for Bed Slope given Normal Depth of Wide Rectangular Channel using the formula - Bed Slope of Channel = (((Critical Depth of Channel/Normal Depth of Varied Flow)^3)*[g]/Chézy’s Coefficients for Varied Flow^2). This formula also uses Gravitational acceleration on Earth constant(s).

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Chezy Formula for Bed Slope given Normal Depth of Wide Rectangular Channel Formula

Chezy Formula for Bed Slope given Normal Depth of Wide Rectangular Channel Example

Chezy Formula for Bed Slope given Normal Depth of Wide Rectangular Channel Solution

Chezy Formula for Bed Slope given Normal Depth of Wide Rectangular Channel Formula Elements

Other formulas in Integration of the Varied Flow Equation category

How to Evaluate Chezy Formula for Bed Slope given Normal Depth of Wide Rectangular Channel?

FAQs on Chezy Formula for Bed Slope given Normal Depth of Wide Rectangular Channel

Variable Name