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Bed Slope given Bed Shear Stress Formula

GoSlope of Channel given Discharge per Unit Channel Width Formula

GoSlope of Channel given Shear Stress Formula

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The Slope of Bed refers to the inclination or gradient of a surface, particularly in the context of various fields. Check FAQs

s = \frac{𝜏}{d section \cdot γ f}

s - Slope of Bed?𝜏 - Shear Stress?d_section - Diameter of Section?γ_f - Specific Weight of Liquid?

Bed Slope given Bed Shear Stress Example

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Here is how the Bed Slope given Bed Shear Stress equation looks like with Values.

Here is how the Bed Slope given Bed Shear Stress equation looks like with Units.

Here is how the Bed Slope given Bed Shear Stress equation looks like.

0.01 = \frac{490.5}{5 \cdot 9.81}

0.01 = \frac{490.5Pa}{5m \cdot 9.81kN/m³}

0.01 = \frac{490.5}{5 \cdot 9.81}

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Bed Slope given Bed Shear Stress Solution

Follow our step by step solution on how to calculate Bed Slope given Bed Shear Stress?

FIRST Step Consider the formula

s = \frac{𝜏}{d section \cdot γ f}

Next Step Substitute values of Variables

∴

s = \frac{490.5Pa}{5m \cdot 9.81kN/m³}

Next Step Convert Units

∴

s = \frac{490.5Pa}{5m \cdot 9810N/m³}

Next Step Prepare to Evaluate

∴

s = \frac{490.5}{5 \cdot 9810}

LAST Step Evaluate

∴

s = 0.01

Bed Slope given Bed Shear Stress Formula Elements

Variables

Slope of Bed

The Slope of Bed refers to the inclination or gradient of a surface, particularly in the context of various fields.

Symbol: s

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Slope of Bed

Shear Stress

The Shear Stress refers to the force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress.

Symbol: 𝜏

Measurement: StressUnit: Pa

Note: Value should be greater than 0.

Formulas to find Shear Stress

Diameter of Section

The Diameter of Section refers to the length of the segment that passes through the center of the circle and touches two points on the edge of the circle.

Symbol: d_section

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Diameter of Section

Specific Weight of Liquid

The Specific Weight of Liquid refers to the weight per unit volume of that substance.

Symbol: γ_f

Measurement: Specific WeightUnit: kN/m³

Note: Value should be greater than 0.

Formulas to find Specific Weight of Liquid

Other Formulas to find Slope of Bed

Go Slope of Channel given Discharge per Unit Channel Width

s = \frac{3 \cdot μ \cdot ν}{γ f \cdot {d section}^{3}}

Go Slope of Channel given Shear Stress

s = \frac{𝜏}{γ f \cdot (d section - R)}

Other formulas in Laminar Flow of Fluid in an Open Channel category

Go Mean Velocity of Flow in Section

V mean = \frac{γ f \cdot dh|dx \cdot (d section \cdot R - R^{2})}{μ}

Go Slope of Channel given Mean Velocity of Flow

S = \frac{μ \cdot V mean}{(d section \cdot R - \frac{R^{2}}{2}) \cdot γ f}

Go Diameter of Section given Mean Velocity of Flow

d section = \frac{(R^{2} + (μ \cdot V mean \cdot \frac{S}{γ f}))}{R}

Go Dynamic Viscosity given Mean Velocity of Flow in Section

μ = \frac{γ f \cdot dh|dx \cdot (d section \cdot R - R^{2})}{V mean}

How to Evaluate Bed Slope given Bed Shear Stress?

Bed Slope given Bed Shear Stress evaluator uses Slope of Bed = Shear Stress/(Diameter of Section*Specific Weight of Liquid) to evaluate the Slope of Bed, The Bed Slope given Bed Shear Stress formula is defined as the channel elevation with respect to horizontal line in the direction of fluid flow. Slope of Bed is denoted by s symbol.

How to evaluate Bed Slope given Bed Shear Stress using this online evaluator? To use this online evaluator for Bed Slope given Bed Shear Stress, enter Shear Stress (𝜏), Diameter of Section (d_section) & Specific Weight of Liquid (γ_f) and hit the calculate button.

FAQs on Bed Slope given Bed Shear Stress

What is the formula to find Bed Slope given Bed Shear Stress?

The formula of Bed Slope given Bed Shear Stress is expressed as Slope of Bed = Shear Stress/(Diameter of Section*Specific Weight of Liquid). Here is an example- 0.01 = 490.5/(5*9810).

How to calculate Bed Slope given Bed Shear Stress?

With Shear Stress (𝜏), Diameter of Section (d_section) & Specific Weight of Liquid (γ_f) we can find Bed Slope given Bed Shear Stress using the formula - Slope of Bed = Shear Stress/(Diameter of Section*Specific Weight of Liquid).

What are the other ways to Calculate Slope of Bed?

Here are the different ways to Calculate Slope of Bed-

Slope of Bed=(3*Dynamic Viscosity*Kinematic Viscosity)/(Specific Weight of Liquid*Diameter of Section^3)
Slope of Bed=Shear Stress/(Specific Weight of Liquid*(Diameter of Section-Horizontal Distance))

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Bed Slope given Bed Shear Stress Formula

​GoSlope of Channel given Discharge per Unit Channel Width Formula

​GoSlope of Channel given Shear Stress Formula

Bed Slope given Bed Shear Stress Example

Bed Slope given Bed Shear Stress Solution

Bed Slope given Bed Shear Stress Formula Elements

Other Formulas to find Slope of Bed

Other formulas in Laminar Flow of Fluid in an Open Channel category

How to Evaluate Bed Slope given Bed Shear Stress?

FAQs on Bed Slope given Bed Shear Stress

Variable Name

GoSlope of Channel given Discharge per Unit Channel Width Formula

GoSlope of Channel given Shear Stress Formula