Radius of Pipe given Maximum Shear Stress at Cylindrical Element Calculator

✖Maximum Shear Stress on Shaft that acts coplanar with a cross-section of material arises due to shear forces.ⓘ Maximum Shear Stress on Shaft [𝜏_max]			+10% -10%
✖Pressure Gradient is the change in pressure with respect to radial distance of element.ⓘ Pressure Gradient [dp\|dr]			+10% -10%

✖The Pipe Radius is the radius of the pipe through which the fluid is flowing.ⓘ Radius of Pipe given Maximum Shear Stress at Cylindrical Element [R]

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Formula

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Radius of Pipe given Maximum Shear Stress at Cylindrical Element

Formula

`"R" = 2*"𝜏"_{"max"}/"dp|dr"`

Example

`"11764.71mm"=2*"0.0001MPa"/"17N/m³"`

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Radius of Pipe given Maximum Shear Stress at Cylindrical Element Solution

STEP 0: Pre-Calculation Summary

Formula Used

Pipe Radius = 2*Maximum Shear Stress on Shaft/Pressure Gradient
R = 2*𝜏_max/dp|dr
This formula uses 3 Variables

Variables Used

Pipe Radius - (Measured in Meter) - The Pipe Radius is the radius of the pipe through which the fluid is flowing.
Maximum Shear Stress on Shaft - (Measured in Pascal) - Maximum Shear Stress on Shaft that acts coplanar with a cross-section of material arises due to shear forces.
Pressure Gradient - (Measured in Newton per Cubic Meter) - Pressure Gradient is the change in pressure with respect to radial distance of element.

STEP 1: Convert Input(s) to Base Unit

Maximum Shear Stress on Shaft: 0.0001 Megapascal --> 100 Pascal (Check conversion here)
Pressure Gradient: 17 Newton per Cubic Meter --> 17 Newton per Cubic Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R = 2*𝜏_max/dp|dr --> 2*100/17

Evaluating ... ...

R = 11.7647058823529

STEP 3: Convert Result to Output's Unit

11.7647058823529 Meter -->11764.7058823529 Millimeter (Check conversion here)

FINAL ANSWER

11764.7058823529 ≈ 11764.71 Millimeter <-- Pipe Radius

(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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< 5 Radius of Pipe Calculators

Radius of Pipe given Velocity at any Point in Cylindrical Element

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

Radius of Pipe for Mean Velocity of Flow

Go Pipe Radius = sqrt(Mean Velocity*8*Dynamic Viscosity/Pressure Gradient)

Radius of Pipe given Discharge through Pipe

Go Pipe Radius = ((8*Dynamic Viscosity)/(pi*Pressure Gradient))^(1/4)

Radius of Pipe for Maximum Velocity at Axis of Cylindrical Element

Go Pipe Radius = sqrt((4*Dynamic Viscosity)/(Pressure Gradient))

Radius of Pipe given Maximum Shear Stress at Cylindrical Element

Go Pipe Radius = 2*Maximum Shear Stress on Shaft/Pressure Gradient

Radius of Pipe given Maximum Shear Stress at Cylindrical Element Formula

Pipe Radius = 2*Maximum Shear Stress on Shaft/Pressure Gradient
R = 2*𝜏_max/dp|dr

What is Pipe Radius?

The Pipe Radius is the distance, in pixels, between the center of a pipe segment to the edge of the pipe segment. The maximum pipe radius is one pixel less than the radius of the narrowest flange. The radius of a flange is equal to the pipe radius plus the flange width.

How to Calculate Radius of Pipe given Maximum Shear Stress at Cylindrical Element?

Radius of Pipe given Maximum Shear Stress at Cylindrical Element calculator uses Pipe Radius = 2*Maximum Shear Stress on Shaft/Pressure Gradient to calculate the Pipe Radius, The Radius of Pipe given Maximum Shear Stress at Cylindrical Element is defined as a geometric parameter influencing the pressure gradient and maximum shear stress. Negative sign is given to pressure gradient inorder to account for the decrease in pressure. Pipe Radius is denoted by R symbol.

How to calculate Radius of Pipe given Maximum Shear Stress at Cylindrical Element using this online calculator? To use this online calculator for Radius of Pipe given Maximum Shear Stress at Cylindrical Element, enter Maximum Shear Stress on Shaft (𝜏_max) & Pressure Gradient (dp|dr) and hit the calculate button. Here is how the Radius of Pipe given Maximum Shear Stress at Cylindrical Element calculation can be explained with given input values -> 1.2E+7 = 2*100/17.

FAQ

What is Radius of Pipe given Maximum Shear Stress at Cylindrical Element?

The Radius of Pipe given Maximum Shear Stress at Cylindrical Element is defined as a geometric parameter influencing the pressure gradient and maximum shear stress. Negative sign is given to pressure gradient inorder to account for the decrease in pressure and is represented as R = 2*𝜏_max/dp|dr or Pipe Radius = 2*Maximum Shear Stress on Shaft/Pressure Gradient. Maximum Shear Stress on Shaft that acts coplanar with a cross-section of material arises due to shear forces & Pressure Gradient is the change in pressure with respect to radial distance of element.

How to calculate Radius of Pipe given Maximum Shear Stress at Cylindrical Element?

The Radius of Pipe given Maximum Shear Stress at Cylindrical Element is defined as a geometric parameter influencing the pressure gradient and maximum shear stress. Negative sign is given to pressure gradient inorder to account for the decrease in pressure is calculated using Pipe Radius = 2*Maximum Shear Stress on Shaft/Pressure Gradient. To calculate Radius of Pipe given Maximum Shear Stress at Cylindrical Element, you need Maximum Shear Stress on Shaft (𝜏_max) & Pressure Gradient (dp|dr). With our tool, you need to enter the respective value for Maximum Shear Stress on Shaft & Pressure Gradient 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 Pipe Radius?

In this formula, Pipe Radius uses Maximum Shear Stress on Shaft & Pressure Gradient. We can use 4 other way(s) to calculate the same, which is/are as follows -

Pipe Radius = sqrt((-4*Dynamic Viscosity/Pressure Gradient)+(Radial Distance^2))
Pipe Radius = sqrt((4*Dynamic Viscosity)/(Pressure Gradient))
Pipe Radius = ((8*Dynamic Viscosity)/(pi*Pressure Gradient))^(1/4)
Pipe Radius = sqrt(Mean Velocity*8*Dynamic Viscosity/Pressure Gradient)

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