Shear Stress at any Cylindrical Element 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%
✖The Radial Distance refers to the distance from a central point, such as the center of a well or pipe, to a point within the fluid system.ⓘ Radial Distance [d_radial]			+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 at any Cylindrical Element [𝜏]

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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) - 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.
Radial Distance - (Measured in Meter) - The Radial Distance refers to the distance from a central point, such as the center of a well or pipe, to a point within the fluid system.

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 00.020 seconds)

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Created by Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

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National Institute of Technology (NIT), Warangal

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< Steady Laminar Flow in Circular Pipes Calculators

Shear Stress at any Cylindrical Element given Head Loss

LaTeX 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

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

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

LaTeX Go Radial Distance = 2*Shear Stress/Pressure Gradient

Shear Stress at any Cylindrical Element

LaTeX Go Shear Stress = Pressure Gradient*Radial Distance/2

Shear Stress at any Cylindrical Element Formula

LaTeX Go

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 formula 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 formula 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. 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 & The Radial Distance refers to the distance from a central point, such as the center of a well or pipe, to a point within the fluid system.

How to calculate Shear Stress at any Cylindrical Element?

The Shear Stress at any Cylindrical Element formula 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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