Bed Shear Stress Calculator

✖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.ⓘ Slope of Bed [s]			+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 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.ⓘ Bed Shear Stress [𝜏]

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Bed Shear Stress Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
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.
Slope of Bed - The Slope of Bed refers to the inclination or gradient of a surface, particularly in the context of various fields.
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.

STEP 1: Convert Input(s) to Base Unit

Specific Weight of Liquid: 9.81 Kilonewton per Cubic Meter --> 9810 Newton per Cubic Meter (Check conversion here)
Slope of Bed: 0.01 --> No Conversion Required
Diameter of Section: 5 Meter --> 5 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

𝜏 = γ_f*s*d_section --> 9810*0.01*5

Evaluating ... ...

𝜏 = 490.5

STEP 3: Convert Result to Output's Unit

490.5 Pascal --> No Conversion Required

FINAL ANSWER

490.5 Pascal <-- Shear Stress

(Calculation completed in 00.020 seconds)

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Created by Rithik Agrawal

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 Shear Stress Formula

LaTeX Go

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

What is Shear Stress?

Shear Stress (t) is a measure of the force of friction from a fluid acting on a body in the path of that fluid. In the case of open channel flow, it is the force of moving water against the bed of the channel.

How to Calculate Bed Shear Stress?

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

FAQ

What is Bed 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 and is represented as 𝜏 = γ_f*s*d_section or Shear Stress = Specific Weight of Liquid*Slope of Bed*Diameter of Section. The Specific Weight of Liquid refers to the weight per unit volume of that substance, The Slope of Bed refers to the inclination or gradient of a surface, particularly in the context of various fields & 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.

How to calculate Bed 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 is calculated using Shear Stress = Specific Weight of Liquid*Slope of Bed*Diameter of Section. To calculate Bed Shear Stress, you need Specific Weight of Liquid (γ_f), Slope of Bed (s) & Diameter of Section (d_section). With our tool, you need to enter the respective value for Specific Weight of Liquid, Slope of Bed & Diameter of Section 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 Shear Stress?

In this formula, Shear Stress uses Specific Weight of Liquid, Slope of Bed & Diameter of Section. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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