Unprotected Side Slopes Shear Stress Required to Move Single Grain Calculator

✖Resisting shear against movement of particle the ability of an adhesive to resist shear stress.ⓘ Resisting Shear against Movement of Particle [ζ_c]			+10% -10%
✖Side slope is the slope of the cut or fill expressed as the ratio of horizontal distance to vertical distance.ⓘ Side Slope [θ]			+10% -10%
✖The angle of repose of soil of a granular material is the steepest angle of descent relative to the horizontal plane to which a material can be piled without slumping. It ranges 0°-90°.ⓘ Angle of Repose of Soil [Φ]			+10% -10%

✖The critical shear stress on horizontal bed is the magnitude of shear stress required to move a given particle.ⓘ Unprotected Side Slopes Shear Stress Required to Move Single Grain [ζc^']

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Unprotected Side Slopes Shear Stress Required to Move Single Grain Solution

STEP 0: Pre-Calculation Summary

Formula Used

Critical Shear Stress on Horizontal Bed = Resisting Shear against Movement of Particle*sqrt(1-(sin(Side Slope)^2/sin(Angle of Repose of Soil)^2))
ζc^' = ζ_c*sqrt(1-(sin(θ)^2/sin(Φ)^2))
This formula uses 2 Functions, 4 Variables

Functions Used

sin - Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse., sin(Angle)
sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Critical Shear Stress on Horizontal Bed - (Measured in Pascal) - The critical shear stress on horizontal bed is the magnitude of shear stress required to move a given particle.
Resisting Shear against Movement of Particle - (Measured in Pascal) - Resisting shear against movement of particle the ability of an adhesive to resist shear stress.
Side Slope - (Measured in Radian) - Side slope is the slope of the cut or fill expressed as the ratio of horizontal distance to vertical distance.
Angle of Repose of Soil - (Measured in Radian) - The angle of repose of soil of a granular material is the steepest angle of descent relative to the horizontal plane to which a material can be piled without slumping. It ranges 0°-90°.

STEP 1: Convert Input(s) to Base Unit

Resisting Shear against Movement of Particle: 0.005437 Kilonewton per Square Meter --> 5.437 Pascal (Check conversion here)
Side Slope: 45 Degree --> 0.785398163397301 Radian (Check conversion here)
Angle of Repose of Soil: 60 Degree --> 1.0471975511964 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ζc^' = ζ_c*sqrt(1-(sin(θ)^2/sin(Φ)^2)) --> 5.437*sqrt(1-(sin(0.785398163397301)^2/sin(1.0471975511964)^2))

Evaluating ... ...

ζc^' = 3.1390534135842

STEP 3: Convert Result to Output's Unit

3.1390534135842 Pascal -->0.0031390534135842 Kilonewton per Square Meter (Check conversion here)

FINAL ANSWER

0.0031390534135842 ≈ 0.003139 Kilonewton per Square Meter <-- Critical Shear Stress on Horizontal Bed

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Irrigation Engineering » Canal Design » Design of Non Scouring Stable Channels having Protected Side Slopes (Shield's Entrainmnet Method) » Unprotected Side Slopes Shear Stress Required to Move Single Grain

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Coorg institute of technology (CIT), Kodagu

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< Design of Non Scouring Stable Channels having Protected Side Slopes (Shield's Entrainmnet Method) Calculators

Drag Force Exerted by Flow

LaTeX Go Drag Force Exerted by Flow = Factor Depending on Shape of Particles*(Coefficient of Drag Exerted by Flow)*(Diameter of Particle^2)*(0.5)*(Density of Flowing Fluid)*(Velocity Flow at Bottom of Channel)

Unprotected Side Slopes Shear Stress Required to Move Single Grain

LaTeX Go Critical Shear Stress on Horizontal Bed = Resisting Shear against Movement of Particle*sqrt(1-(sin(Side Slope)^2/sin(Angle of Repose of Soil)^2))

Resisting Shear against Movement of Particle

LaTeX Go Resisting Shear against Movement of Particle = 0.056*Unit Weight of Water*Diameter of Particle*(Specific Gravity of Particles-1)

General Relation between Resisting Shear and Diameter of Particle

LaTeX Go Resisting Shear against Movement of Particle = 0.155+(0.409*(Diameter of Particle^2)/sqrt(1+0.77*Diameter of Particle^2))

Unprotected Side Slopes Shear Stress Required to Move Single Grain Formula

LaTeX Go

Critical Shear Stress on Horizontal Bed = Resisting Shear against Movement of Particle*sqrt(1-(sin(Side Slope)^2/sin(Angle of Repose of Soil)^2))
ζc^' = ζ_c*sqrt(1-(sin(θ)^2/sin(Φ)^2))

What is Shear Force?

Shear force is a force acting in a direction that's parallel to (over the top of) a surface or cross section of a body, like the pressure of air flow over an airplane wing. The word shear in the term is a reference to the fact that such a force can cut, or shear, through the surface or object under strain

What is a Soil Repose?

The angle of repose or the critical angle of repose, is the steepest angle of dip relative to the horizontal plane to which a material can be pulled without slumping. At this angle material on the slope is on the verge of sliding.

How to Calculate Unprotected Side Slopes Shear Stress Required to Move Single Grain?

Unprotected Side Slopes Shear Stress Required to Move Single Grain calculator uses Critical Shear Stress on Horizontal Bed = Resisting Shear against Movement of Particle*sqrt(1-(sin(Side Slope)^2/sin(Angle of Repose of Soil)^2)) to calculate the Critical Shear Stress on Horizontal Bed, The Unprotected Side Slopes Shear Stress Required to Move Single Grain formula is defined as the product of shear stress required to move a similar grain to the square root of the ratio of side slope and angle of repose. Critical Shear Stress on Horizontal Bed is denoted by ζc^' symbol.

How to calculate Unprotected Side Slopes Shear Stress Required to Move Single Grain using this online calculator? To use this online calculator for Unprotected Side Slopes Shear Stress Required to Move Single Grain, enter Resisting Shear against Movement of Particle (ζ_c), Side Slope (θ) & Angle of Repose of Soil (Φ) and hit the calculate button. Here is how the Unprotected Side Slopes Shear Stress Required to Move Single Grain calculation can be explained with given input values -> 3.1E-6 = 5.437*sqrt(1-(sin(0.785398163397301)^2/sin(1.0471975511964)^2)).

FAQ

What is Unprotected Side Slopes Shear Stress Required to Move Single Grain?

The Unprotected Side Slopes Shear Stress Required to Move Single Grain formula is defined as the product of shear stress required to move a similar grain to the square root of the ratio of side slope and angle of repose and is represented as ζc^' = ζ_c*sqrt(1-(sin(θ)^2/sin(Φ)^2)) or Critical Shear Stress on Horizontal Bed = Resisting Shear against Movement of Particle*sqrt(1-(sin(Side Slope)^2/sin(Angle of Repose of Soil)^2)). Resisting shear against movement of particle the ability of an adhesive to resist shear stress, Side slope is the slope of the cut or fill expressed as the ratio of horizontal distance to vertical distance & The angle of repose of soil of a granular material is the steepest angle of descent relative to the horizontal plane to which a material can be piled without slumping. It ranges 0°-90°.

How to calculate Unprotected Side Slopes Shear Stress Required to Move Single Grain?

The Unprotected Side Slopes Shear Stress Required to Move Single Grain formula is defined as the product of shear stress required to move a similar grain to the square root of the ratio of side slope and angle of repose is calculated using Critical Shear Stress on Horizontal Bed = Resisting Shear against Movement of Particle*sqrt(1-(sin(Side Slope)^2/sin(Angle of Repose of Soil)^2)). To calculate Unprotected Side Slopes Shear Stress Required to Move Single Grain, you need Resisting Shear against Movement of Particle (ζ_c), Side Slope (θ) & Angle of Repose of Soil (Φ). With our tool, you need to enter the respective value for Resisting Shear against Movement of Particle, Side Slope & Angle of Repose of Soil and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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