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Slope of Channel given Shear Stress Formula

GoSlope of Channel given Discharge per Unit Channel Width Formula

GoBed Slope given Bed 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}{γ f \cdot (d section - R)}

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

Slope of Channel given Shear Stress Example

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With units

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

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

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

0.0125 = \frac{490.5}{9.81 \cdot (5 - 1.01)}

0.0125 = \frac{490.5Pa}{9.81kN/m³ \cdot (5m - 1.01m)}

0.0125 = \frac{490.5}{9.81 \cdot (5 - 1.01)}

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Slope of Channel given Shear Stress Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

s = \frac{490.5Pa}{9.81kN/m³ \cdot (5m - 1.01m)}

Next Step Convert Units

∴

s = \frac{490.5Pa}{9810N/m³ \cdot (5m - 1.01m)}

Next Step Prepare to Evaluate

∴

s = \frac{490.5}{9810 \cdot (5 - 1.01)}

Next Step Evaluate

∴

s = 0.012531328320802

LAST Step Rounding Answer

∴

s = 0.0125

Slope of Channel given 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

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

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

Horizontal Distance

The Horizontal Distance refers to the instantaneous horizontal distance cover by an object in a projectile motion.

Symbol: R

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Horizontal Distance

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 Bed Slope given Bed Shear Stress

s = \frac{𝜏}{d section \cdot γ f}

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 Slope of Channel given Shear Stress?

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

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

FAQs on Slope of Channel given Shear Stress

What is the formula to find Slope of Channel given Shear Stress?

The formula of Slope of Channel given Shear Stress is expressed as Slope of Bed = Shear Stress/(Specific Weight of Liquid*(Diameter of Section-Horizontal Distance)). Here is an example- 12.53133 = 490.5/(9810*(5-1.01)).

How to calculate Slope of Channel given Shear Stress?

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

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/(Diameter of Section*Specific Weight of Liquid)

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Slope of Channel given Shear Stress Formula

​GoSlope of Channel given Discharge per Unit Channel Width Formula

​GoBed Slope given Bed Shear Stress Formula

Slope of Channel given Shear Stress Example

Slope of Channel given Shear Stress Solution

Slope of Channel given 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 Slope of Channel given Shear Stress?

FAQs on Slope of Channel given Shear Stress

Variable Name

GoSlope of Channel given Discharge per Unit Channel Width Formula

GoBed Slope given Bed Shear Stress Formula