Shear Stress at any Cylindrical Element Calculator

✖Pressure Gradient is the change in pressure with respect to radial distance of element.ⓘ Pressure Gradient [dp\|dr]			+10% -10%
✖Radial distance is defined as distance between whisker sensor's pivot point to whisker-object contact point.ⓘ Radial Distance [d_radial]			+10% -10%

✖Shear Stress is force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress.ⓘ Shear Stress at any Cylindrical Element [𝜏]

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Formula

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Shear Stress at any Cylindrical Element

Formula

`"𝜏" = "dp|dr"*"d"_{"radial"}/2`

Example

`"78.2Pa"="17N/m³"*"9.2m"/2`

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Shear Stress at any Cylindrical Element Solution

STEP 0: Pre-Calculation Summary

Formula Used

Shear Stress = Pressure Gradient*Radial Distance/2
𝜏 = dp|dr*d_radial/2
This formula uses 3 Variables

Variables Used

Shear Stress - (Measured in Pascal) - Shear Stress is 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) - Pressure Gradient is the change in pressure with respect to radial distance of element.
Radial Distance - (Measured in Meter) - Radial distance is defined as distance between whisker sensor's pivot point to whisker-object contact point.

STEP 1: Convert Input(s) to Base Unit

Pressure Gradient: 17 Newton per Cubic Meter --> 17 Newton per Cubic Meter No Conversion Required
Radial Distance: 9.2 Meter --> 9.2 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

𝜏 = dp|dr*d_radial/2 --> 17*9.2/2

Evaluating ... ...

𝜏 = 78.2

STEP 3: Convert Result to Output's Unit

78.2 Pascal --> No Conversion Required

FINAL ANSWER

78.2 Pascal <-- Shear Stress

(Calculation completed in 00.004 seconds)

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Created by Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

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Verified by M Naveen

National Institute of Technology (NIT), Warangal

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< 12 Steady Laminar Flow in Circular Pipes – Hagen Poiseuille Law Calculators

Distance of Element from Center Line given Velocity at any point in Cylindrical Element

Go Radial Distance = sqrt((Pipe Radius^2)-(-4*Dynamic Viscosity*Fluid Velocity in Pipe/Pressure Gradient))

Velocity at any point in Cylindrical Element

Go Fluid Velocity in Pipe = -(1/(4*Dynamic Viscosity))*Pressure Gradient*((Pipe Radius^2)-(Radial Distance^2))

Shear Stress at any Cylindrical Element given Head Loss

Go Shear Stress = (Specific Weight of Liquid*Head Loss due to Friction*Radial Distance)/(2*Length of Pipe)

Distance of Element from Center Line given Head Loss

Go Radial Distance = 2*Shear Stress*Length of Pipe/(Head Loss due to Friction*Specific Weight of Liquid)

Discharge through Pipe given Pressure Gradient

Go Discharge in pipe = (pi/(8*Dynamic Viscosity))*(Pipe Radius^4)*Pressure Gradient

Velocity Gradient given Pressure Gradient at Cylindrical Element

Go Velocity Gradient = (1/(2*Dynamic Viscosity))*Pressure Gradient*Radial Distance

Distance of Element from Center Line given Velocity Gradient at Cylindrical Element

Go Radial Distance = 2*Dynamic Viscosity*Velocity Gradient/Pressure Gradient

Mean Velocity of Fluid Flow

Go Mean Velocity = (1/(8*Dynamic Viscosity))*Pressure Gradient*Pipe Radius^2

Distance of Element from Center line given Shear Stress at any Cylindrical Element

Go Radial Distance = 2*Shear Stress/Pressure Gradient

Shear Stress at any Cylindrical Element

Go Shear Stress = Pressure Gradient*Radial Distance/2

Mean Velocity of Flow given Maximum Velocity at Axis of Cylindrical Element

Go Mean Velocity = 0.5*Maximum Velocity

Maximum Velocity at Axis of Cylindrical Element given Mean Velocity of Flow

Go Maximum Velocity = 2*Mean Velocity

Shear Stress at any Cylindrical Element Formula

Shear Stress = Pressure Gradient*Radial Distance/2
𝜏 = dp|dr*d_radial/2

What is Shear Stress ?

Shear stress, often denoted by τ, is the component of stress coplanar with a material cross section. It arises from the shear force, the component of force vector parallel to the material cross section

How to Calculate Shear Stress at any Cylindrical Element?

Shear Stress at any Cylindrical Element calculator uses Shear Stress = Pressure Gradient*Radial Distance/2 to calculate the Shear Stress, The Shear Stress at any Cylindrical Element is defined as variation of stress at a point r from the center line of cylinder. Shear Stress is denoted by 𝜏 symbol.

How to calculate Shear Stress at any Cylindrical Element using this online calculator? To use this online calculator for Shear Stress at any Cylindrical Element, enter Pressure Gradient (dp|dr) & Radial Distance (d_radial) and hit the calculate button. Here is how the Shear Stress at any Cylindrical Element calculation can be explained with given input values -> 78.2 = 17*9.2/2.

FAQ

What is Shear Stress at any Cylindrical Element?

The Shear Stress at any Cylindrical Element is defined as variation of stress at a point r from the center line of cylinder and is represented as 𝜏 = dp|dr*d_radial/2 or Shear Stress = Pressure Gradient*Radial Distance/2. Pressure Gradient is the change in pressure with respect to radial distance of element & Radial distance is defined as distance between whisker sensor's pivot point to whisker-object contact point.

How to calculate Shear Stress at any Cylindrical Element?

The Shear Stress at any Cylindrical Element is defined as variation of stress at a point r from the center line of cylinder is calculated using Shear Stress = Pressure Gradient*Radial Distance/2. To calculate Shear Stress at any Cylindrical Element, you need Pressure Gradient (dp|dr) & Radial Distance (d_radial). With our tool, you need to enter the respective value for Pressure Gradient & Radial Distance 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 Pressure Gradient & Radial Distance. We can use 1 other way(s) to calculate the same, which is/are as follows -

Shear Stress = (Specific Weight of Liquid*Head Loss due to Friction*Radial Distance)/(2*Length of Pipe)

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