Shear Stress Distribution Profile Calculator

✖The Pressure Gradient refers to the rate of change of pressure in a particular direction indicating how quickly the pressure increases or decreases around a specific location.ⓘ Pressure Gradient [dp\|dr]			+10% -10%
✖Width is the measurement or extent of something from side to side.ⓘ Width [w]			+10% -10%
✖Horizontal Distance denotes the instantaneous horizontal distance cover by an object in a projectile motion.ⓘ Horizontal Distance [R]			+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.ⓘ Shear Stress Distribution Profile [𝜏]

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Shear Stress Distribution Profile Solution

STEP 0: Pre-Calculation Summary

Formula Used

Shear Stress = -Pressure Gradient*(Width/2-Horizontal Distance)
𝜏 = -dp|dr*(w/2-R)
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.
Pressure Gradient - (Measured in Newton per Cubic Meter) - The Pressure Gradient refers to the rate of change of pressure in a particular direction indicating how quickly the pressure increases or decreases around a specific location.
Width - (Measured in Meter) - Width is the measurement or extent of something from side to side.
Horizontal Distance - (Measured in Meter) - Horizontal Distance denotes the instantaneous horizontal distance cover by an object in a projectile motion.

STEP 1: Convert Input(s) to Base Unit

Pressure Gradient: 17 Newton per Cubic Meter --> 17 Newton per Cubic Meter No Conversion Required
Width: 3 Meter --> 3 Meter No Conversion Required
Horizontal Distance: 6.9 Meter --> 6.9 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

𝜏 = -dp|dr*(w/2-R) --> -17*(3/2-6.9)

Evaluating ... ...

𝜏 = 91.8

STEP 3: Convert Result to Output's Unit

91.8 Pascal --> No Conversion Required

FINAL ANSWER

91.8 Pascal <-- Shear Stress

(Calculation completed in 00.004 seconds)

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Created by Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

Rithik Agrawal has created this Calculator and 1300+ more calculators!

Verified by M Naveen

National Institute of Technology (NIT), Warangal

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< Laminar Flow between Parallel Plates, both Plates at Rest Calculators

Velocity Distribution Profile

LaTeX Go Velocity of Liquid = -(1/(2*Dynamic Viscosity))*Pressure Gradient*(Width*Horizontal Distance-(Horizontal Distance^2))

Distance between Plates using Velocity Distribution Profile

LaTeX Go Width = (((-Velocity of Liquid*2*Dynamic Viscosity)/Pressure Gradient)+(Horizontal Distance^2))/Horizontal Distance

Distance between Plates given Maximum Velocity between Plates

LaTeX Go Width = sqrt((8*Dynamic Viscosity*Maximum Velocity)/(Pressure Gradient))

Maximum Velocity between Plates

LaTeX Go Maximum Velocity = ((Width^2)*Pressure Gradient)/(8*Dynamic Viscosity)

Shear Stress Distribution Profile Formula

LaTeX Go

Shear Stress = -Pressure Gradient*(Width/2-Horizontal Distance)
𝜏 = -dp|dr*(w/2-R)

What is Roughness?

Roughness often shortened to roughness, is a component of surface texture. It is quantified by the deviations in the direction of the normal vector of a real surface from its ideal form. If these deviations are large, the surface is rough; if they are small, the surface is smooth.

How to Calculate Shear Stress Distribution Profile?

Shear Stress Distribution Profile calculator uses Shear Stress = -Pressure Gradient*(Width/2-Horizontal Distance) to calculate the Shear Stress, The Shear Stress Distribution Profile is defined as the stress or resistance developed due to boundary condition and roughness of pipe. Shear Stress is denoted by 𝜏 symbol.

How to calculate Shear Stress Distribution Profile using this online calculator? To use this online calculator for Shear Stress Distribution Profile, enter Pressure Gradient (dp|dr), Width (w) & Horizontal Distance (R) and hit the calculate button. Here is how the Shear Stress Distribution Profile calculation can be explained with given input values -> 91.8 = -17*(3/2-6.9).

FAQ

What is Shear Stress Distribution Profile?

The Shear Stress Distribution Profile is defined as the stress or resistance developed due to boundary condition and roughness of pipe and is represented as 𝜏 = -dp|dr*(w/2-R) or Shear Stress = -Pressure Gradient*(Width/2-Horizontal Distance). The Pressure Gradient refers to the rate of change of pressure in a particular direction indicating how quickly the pressure increases or decreases around a specific location, Width is the measurement or extent of something from side to side & Horizontal Distance denotes the instantaneous horizontal distance cover by an object in a projectile motion.

How to calculate Shear Stress Distribution Profile?

The Shear Stress Distribution Profile is defined as the stress or resistance developed due to boundary condition and roughness of pipe is calculated using Shear Stress = -Pressure Gradient*(Width/2-Horizontal Distance). To calculate Shear Stress Distribution Profile, you need Pressure Gradient (dp|dr), Width (w) & Horizontal Distance (R). With our tool, you need to enter the respective value for Pressure Gradient, Width & Horizontal Distance 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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