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Bed Shear Stress Formula

GoShear Stress given Slope of Channel Formula

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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. Check FAQs

𝜏 = γ f \cdot s \cdot d section

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

Bed Shear Stress Example

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

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

Here is how the Bed Shear Stress equation looks like.

490.5 = 9.81 \cdot 0.01 \cdot 5

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

490.5 = 9.81 \cdot 0.01 \cdot 5

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Bed Shear Stress Solution

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

FIRST Step Consider the formula

𝜏 = γ f \cdot s \cdot d section

Next Step Substitute values of Variables

∴

𝜏 = 9.81kN/m³ \cdot 0.01 \cdot 5m

Next Step Convert Units

∴

𝜏 = 9810N/m³ \cdot 0.01 \cdot 5m

Next Step Prepare to Evaluate

∴

𝜏 = 9810 \cdot 0.01 \cdot 5

LAST Step Evaluate

∴

𝜏 = 490.5Pa

Bed Shear Stress Formula Elements

Variables

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

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

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

Other Formulas to find Shear Stress

Go Shear Stress given Slope of Channel

𝜏 = γ f \cdot s \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 Shear Stress?

Bed Shear Stress evaluator uses Shear Stress = Specific Weight of Liquid*Slope of Bed*Diameter of Section to evaluate the Shear Stress, The Bed Shear Stress formula is defined as the maximum value of shear stress at the bed point or bottom most point of the flowing stream in the channel. Shear Stress is denoted by 𝜏 symbol.

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

FAQs on Bed Shear Stress

What is the formula to find Bed Shear Stress?

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

How to calculate Bed Shear Stress?

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

What are the other ways to Calculate Shear Stress?

Here are the different ways to Calculate Shear Stress-

Shear Stress=Specific Weight of Liquid*Slope of Bed*(Diameter of Section-Horizontal Distance)

Can the Bed Shear Stress be negative?

No, the Bed Shear Stress, measured in Stress cannot be negative.

Which unit is used to measure Bed Shear Stress?

Bed Shear Stress is usually measured using the Pascal[Pa] for Stress. Newton per Square Meter[Pa], Newton per Square Millimeter[Pa], Kilonewton per Square Meter[Pa] are the few other units in which Bed Shear Stress can be measured.

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Bed Shear Stress Formula

​GoShear Stress given Slope of Channel Formula

Bed Shear Stress Example

Bed Shear Stress Solution

Bed Shear Stress Formula Elements

Other Formulas to find Shear Stress

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

How to Evaluate Bed Shear Stress?

FAQs on Bed Shear Stress

Variable Name

GoShear Stress given Slope of Channel Formula