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Shear Stress given Slope of Channel Formula

GoBed Shear Stress 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 - R)

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

Shear Stress given Slope of Channel Example

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

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

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

391.419 = 9.81 \cdot 0.01 \cdot (5 - 1.01)

391.419Pa = 9.81kN/m³ \cdot 0.01 \cdot (5m - 1.01m)

391.419 = 9.81 \cdot 0.01 \cdot (5 - 1.01)

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Shear Stress given Slope of Channel Solution

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

FIRST Step Consider the formula

𝜏 = γ f \cdot s \cdot (d section - R)

Next Step Substitute values of Variables

∴

𝜏 = 9.81kN/m³ \cdot 0.01 \cdot (5m - 1.01m)

Next Step Convert Units

∴

𝜏 = 9810N/m³ \cdot 0.01 \cdot (5m - 1.01m)

Next Step Prepare to Evaluate

∴

𝜏 = 9810 \cdot 0.01 \cdot (5 - 1.01)

LAST Step Evaluate

∴

𝜏 = 391.419Pa

Shear Stress given Slope of Channel 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

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 Shear Stress

Go Bed Shear Stress

𝜏 = γ f \cdot s \cdot d section

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 Shear Stress given Slope of Channel?

Shear Stress given Slope of Channel evaluator uses Shear Stress = Specific Weight of Liquid*Slope of Bed*(Diameter of Section-Horizontal Distance) to evaluate the Shear Stress, The Shear Stress given Slope of Channel formula is defined as the amount of resistance developed by the surface on to the motion of the fluid. Shear Stress is denoted by 𝜏 symbol.

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

FAQs on Shear Stress given Slope of Channel

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

The formula of Shear Stress given Slope of Channel is expressed as Shear Stress = Specific Weight of Liquid*Slope of Bed*(Diameter of Section-Horizontal Distance). Here is an example- 391.419 = 9810*0.01*(5-1.01).

How to calculate Shear Stress given Slope of Channel?

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

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

Can the Shear Stress given Slope of Channel be negative?

No, the Shear Stress given Slope of Channel, measured in Stress cannot be negative.

Which unit is used to measure Shear Stress given Slope of Channel?

Shear Stress given Slope of Channel 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 Shear Stress given Slope of Channel can be measured.

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Shear Stress given Slope of Channel Formula

​GoBed Shear Stress Formula

Shear Stress given Slope of Channel Example

Shear Stress given Slope of Channel Solution

Shear Stress given Slope of Channel Formula Elements

Other Formulas to find Shear Stress

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

How to Evaluate Shear Stress given Slope of Channel?

FAQs on Shear Stress given Slope of Channel

Variable Name

GoBed Shear Stress Formula