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Side Slope of Channel Bed given Discharge through Channels 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{p}{\frac{(A^{3})}{{(\frac{Q}{C})}^{2}}}

S - Bed Slope?p - Wetted Perimeter of Channel?A - Wetted Surface Area of Channel?Q - Discharge of Channel?C - Chezy's Constant?

Side Slope of Channel Bed given Discharge through Channels Example

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

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

Here is how the Side Slope of Channel Bed given Discharge through Channels equation looks like.

0.0001 = \frac{16}{\frac{(25^{3})}{{(\frac{14}{40})}^{2}}}

0.0001 = \frac{16m}{\frac{({25m²}^{3})}{{(\frac{14m³/s}{40})}^{2}}}

0.0001 = \frac{16}{\frac{(25^{3})}{{(\frac{14}{40})}^{2}}}

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Side Slope of Channel Bed given Discharge through Channels Solution

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

FIRST Step Consider the formula

S = \frac{p}{\frac{(A^{3})}{{(\frac{Q}{C})}^{2}}}

Next Step Substitute values of Variables

∴

S = \frac{16m}{\frac{({25m²}^{3})}{{(\frac{14m³/s}{40})}^{2}}}

Next Step Prepare to Evaluate

∴

S = \frac{16}{\frac{(25^{3})}{{(\frac{14}{40})}^{2}}}

Next Step Evaluate

∴

S = 0.00012544

LAST Step Rounding Answer

∴

S = 0.0001

Side Slope of Channel Bed given Discharge through Channels 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

Wetted Perimeter of Channel

Wetted Perimeter of Channel is defined as the surface of the channel bottom and sides in direct contact with the aqueous body.

Symbol: p

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Wetted Perimeter of Channel

Wetted Surface Area of Channel

Wetted Surface Area of Channel [length^2] is the total area of outer surface in contact with the surrounding water.

Symbol: A

Measurement: AreaUnit: m²

Note: Value can be positive or negative.

Formulas to find Wetted Surface Area of Channel

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

Other formulas in Circular Section category

Go Discharge through Channels

Q = C \cdot \sqrt{(A^{3}) \cdot \frac{S}{p}}

Go Chezy Constant given Discharge through Channels

C = \frac{Q}{\sqrt{(A^{3}) \cdot \frac{S}{p}}}

Go Wetted Area given Discharge through Channels

A = {(({(\frac{Q}{C})}^{2}) \cdot \frac{p}{S})}^{\frac{1}{3}}

Go Wetted Perimeter given Discharge through Channels

p = \frac{(A^{3}) \cdot S}{{(\frac{Q}{C})}^{2}}

How to Evaluate Side Slope of Channel Bed given Discharge through Channels?

Side Slope of Channel Bed given Discharge through Channels evaluator uses Bed Slope = Wetted Perimeter of Channel/(((Wetted Surface Area of Channel^3))/((Discharge of Channel/Chezy's Constant)^2)) to evaluate the Bed Slope, The Side Slope of Channel Bed given Discharge through Channels is defined as elevation of boundary with respect to vertical. Bed Slope is denoted by S symbol.

How to evaluate Side Slope of Channel Bed given Discharge through Channels using this online evaluator? To use this online evaluator for Side Slope of Channel Bed given Discharge through Channels, enter Wetted Perimeter of Channel (p), Wetted Surface Area of Channel (A), Discharge of Channel (Q) & Chezy's Constant (C) and hit the calculate button.

FAQs on Side Slope of Channel Bed given Discharge through Channels

What is the formula to find Side Slope of Channel Bed given Discharge through Channels?

The formula of Side Slope of Channel Bed given Discharge through Channels is expressed as Bed Slope = Wetted Perimeter of Channel/(((Wetted Surface Area of Channel^3))/((Discharge of Channel/Chezy's Constant)^2)). Here is an example- 0.000125 = 16/(((25^3))/((14/40)^2)).

How to calculate Side Slope of Channel Bed given Discharge through Channels?

With Wetted Perimeter of Channel (p), Wetted Surface Area of Channel (A), Discharge of Channel (Q) & Chezy's Constant (C) we can find Side Slope of Channel Bed given Discharge through Channels using the formula - Bed Slope = Wetted Perimeter of Channel/(((Wetted Surface Area of Channel^3))/((Discharge of Channel/Chezy's Constant)^2)).

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Side Slope of Channel Bed given Discharge through Channels Formula

Side Slope of Channel Bed given Discharge through Channels Example

Side Slope of Channel Bed given Discharge through Channels Solution

Side Slope of Channel Bed given Discharge through Channels Formula Elements

Other formulas in Circular Section category

How to Evaluate Side Slope of Channel Bed given Discharge through Channels?

FAQs on Side Slope of Channel Bed given Discharge through Channels

Variable Name