Bed Slope given Bed Shear Stress Calculator

✖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.ⓘ Shear Stress [𝜏]			+10% -10%
✖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.ⓘ Diameter of Section [d_section]			+10% -10%
✖The Specific Weight of Liquid refers to the weight per unit volume of that substance.ⓘ Specific Weight of Liquid [γ_f]			+10% -10%

✖The Slope of Bed refers to the inclination or gradient of a surface, particularly in the context of various fields.ⓘ Bed Slope given Bed Shear Stress [s]

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Bed Slope given Bed Shear Stress Solution

STEP 0: Pre-Calculation Summary

Formula Used

Slope of Bed = Shear Stress/(Diameter of Section*Specific Weight of Liquid)
s = 𝜏/(d_section*γ_f)
This formula uses 4 Variables

Variables Used

Slope of Bed - The Slope of Bed refers to the inclination or gradient of a surface, particularly in the context of various fields.
Shear Stress - (Measured in Pascal) - 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.
Diameter of Section - (Measured in Meter) - 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.
Specific Weight of Liquid - (Measured in Newton per Cubic Meter) - The Specific Weight of Liquid refers to the weight per unit volume of that substance.

STEP 1: Convert Input(s) to Base Unit

Shear Stress: 490.5 Pascal --> 490.5 Pascal No Conversion Required
Diameter of Section: 5 Meter --> 5 Meter No Conversion Required
Specific Weight of Liquid: 9.81 Kilonewton per Cubic Meter --> 9810 Newton per Cubic Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

s = 𝜏/(d_section*γ_f) --> 490.5/(5*9810)

Evaluating ... ...

s = 0.01

STEP 3: Convert Result to Output's Unit

0.01 --> No Conversion Required

FINAL ANSWER

0.01 <-- Slope of Bed

(Calculation completed in 00.004 seconds)

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National Institute of Technology Karnataka (NITK), Surathkal

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< Laminar Flow of Fluid in an Open Channel Calculators

Slope of Channel given Mean Velocity of Flow

LaTeX Go Slope of Surface of Constant Pressure = (Dynamic Viscosity*Mean Velocity)/((Diameter of Section*Horizontal Distance-(Horizontal Distance^2)/2)*Specific Weight of Liquid)

Diameter of Section given Mean Velocity of Flow

LaTeX Go Diameter of Section = ((Horizontal Distance^2+(Dynamic Viscosity*Mean Velocity*Slope of Surface of Constant Pressure/Specific Weight of Liquid)))/Horizontal Distance

Dynamic Viscosity given Mean Velocity of Flow in Section

LaTeX Go Dynamic Viscosity = (Specific Weight of Liquid*Piezometric Gradient*(Diameter of Section*Horizontal Distance-Horizontal Distance^2))/Mean Velocity

Mean Velocity of Flow in Section

LaTeX Go Mean Velocity = (Specific Weight of Liquid*Piezometric Gradient*(Diameter of Section*Horizontal Distance-Horizontal Distance^2))/Dynamic Viscosity

Bed Slope given Bed Shear Stress Formula

LaTeX Go

Slope of Bed = Shear Stress/(Diameter of Section*Specific Weight of Liquid)
s = 𝜏/(d_section*γ_f)

What is Bed Slope?

The Slope of bed is used to calculate the shear stress at the bed of an open channel containing fluid that is undergoing steady, uniform flow. It is widely used in river engineering, stream restoratioview the full answer.

How to Calculate Bed Slope given Bed Shear Stress?

Bed Slope given Bed Shear Stress calculator uses Slope of Bed = Shear Stress/(Diameter of Section*Specific Weight of Liquid) to calculate 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 calculate Bed Slope given Bed Shear Stress using this online calculator? To use this online calculator 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. Here is how the Bed Slope given Bed Shear Stress calculation can be explained with given input values -> 0.01 = 490.5/(5*9810).

FAQ

What is Bed Slope given Bed Shear Stress?

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 and is represented as s = 𝜏/(d_section*γ_f) or Slope of Bed = Shear Stress/(Diameter of Section*Specific Weight of Liquid). 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, 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 & The Specific Weight of Liquid refers to the weight per unit volume of that substance.

How to calculate Bed Slope given Bed Shear Stress?

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 is calculated using Slope of Bed = Shear Stress/(Diameter of Section*Specific Weight of Liquid). To calculate Bed Slope given Bed Shear Stress, you need Shear Stress (𝜏), Diameter of Section (d_section) & Specific Weight of Liquid (γ_f). With our tool, you need to enter the respective value for Shear Stress, Diameter of Section & Specific Weight of Liquid and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Slope of Bed?

In this formula, Slope of Bed uses Shear Stress, Diameter of Section & Specific Weight of Liquid. We can use 2 other way(s) to calculate the same, which is/are as follows -

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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