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Radius of Pipe given Maximum Shear Stress at Cylindrical Element Formula

GoRadius of Pipe given Velocity at any Point in Cylindrical Element Formula

GoRadius of Pipe for Maximum Velocity at Axis of Cylindrical Element Formula

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The Radius of Pipe refers to the distance from the center of the pipe to its inner wall. Check FAQs

R = 2 \cdot \frac{𝜏 max}{dp|dr}

R - Radius of pipe?𝜏_max - Maximum Shear Stress on Shaft?dp|dr - Pressure Gradient?

Radius of Pipe given Maximum Shear Stress at Cylindrical Element Example

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Here is how the Radius of Pipe given Maximum Shear Stress at Cylindrical Element equation looks like with Values.

Here is how the Radius of Pipe given Maximum Shear Stress at Cylindrical Element equation looks like with Units.

Here is how the Radius of Pipe given Maximum Shear Stress at Cylindrical Element equation looks like.

11764.7059 = 2 \cdot \frac{0.0001}{17}

11764.7059mm = 2 \cdot \frac{0.0001MPa}{17N/m³}

11764.7059 = 2 \cdot \frac{0.0001}{17}

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Radius of Pipe given Maximum Shear Stress at Cylindrical Element Solution

Follow our step by step solution on how to calculate Radius of Pipe given Maximum Shear Stress at Cylindrical Element?

FIRST Step Consider the formula

R = 2 \cdot \frac{𝜏 max}{dp|dr}

Next Step Substitute values of Variables

∴

R = 2 \cdot \frac{0.0001MPa}{17N/m³}

Next Step Convert Units

∴

R = 2 \cdot \frac{100Pa}{17N/m³}

Next Step Prepare to Evaluate

∴

R = 2 \cdot \frac{100}{17}

Next Step Evaluate

∴

R = 11.7647058823529m

Next Step Convert to Output's Unit

∴

R = 11764.7058823529mm

LAST Step Rounding Answer

∴

R = 11764.7059mm

Radius of Pipe given Maximum Shear Stress at Cylindrical Element Formula Elements

Variables

Radius of pipe

The Radius of Pipe refers to the distance from the center of the pipe to its inner wall.

Symbol: R

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Radius of pipe

Maximum Shear Stress on Shaft

The Maximum Shear Stress on Shaft occurs due to torsional forces acting on it. This stress is highest at the outer surface of the shaft and decreases towards the center.

Symbol: 𝜏_max

Measurement: PressureUnit: MPa

Note: Value can be positive or negative.

Formulas to find Maximum Shear Stress on Shaft

Pressure Gradient

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.

Symbol: dp|dr

Measurement: Pressure GradientUnit: N/m³

Note: Value should be greater than 0.

Formulas to find Pressure Gradient

Other Formulas to find Radius of pipe

Go Radius of Pipe given Velocity at any Point in Cylindrical Element

R = \sqrt{(- 4 \cdot \frac{μ}{dp|dr}) + ({d radial}^{2})}

Go Radius of Pipe for Maximum Velocity at Axis of Cylindrical Element

R = \sqrt{\frac{4 \cdot μ}{dp|dr}}

Go Radius of Pipe given Discharge through Pipe

R = {(\frac{8 \cdot μ}{π \cdot dp|dr})}^{\frac{1}{4}}

Go Radius of Pipe for Mean Velocity of Flow

R = \sqrt{V mean \cdot 8 \cdot \frac{μ}{dp|dr}}

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

Radius of Pipe given Maximum Shear Stress at Cylindrical Element evaluator uses Radius of pipe = 2*Maximum Shear Stress on Shaft/Pressure Gradient to evaluate the Radius of pipe, 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. Radius of pipe is denoted by R symbol.

How to evaluate Radius of Pipe given Maximum Shear Stress at Cylindrical Element using this online evaluator? To use this online evaluator 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.

FAQs on Radius of Pipe given Maximum Shear Stress at Cylindrical Element

What is the formula to find Radius of Pipe given Maximum Shear Stress at Cylindrical Element?

The formula of Radius of Pipe given Maximum Shear Stress at Cylindrical Element is expressed as Radius of pipe = 2*Maximum Shear Stress on Shaft/Pressure Gradient. Here is an example- 1.2E+7 = 2*100/17.

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

With Maximum Shear Stress on Shaft (𝜏_max) & Pressure Gradient (dp|dr) we can find Radius of Pipe given Maximum Shear Stress at Cylindrical Element using the formula - Radius of pipe = 2*Maximum Shear Stress on Shaft/Pressure Gradient.

What are the other ways to Calculate Radius of pipe?

Here are the different ways to Calculate Radius of pipe-

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

Can the Radius of Pipe given Maximum Shear Stress at Cylindrical Element be negative?

No, the Radius of Pipe given Maximum Shear Stress at Cylindrical Element, measured in Length cannot be negative.

Which unit is used to measure Radius of Pipe given Maximum Shear Stress at Cylindrical Element?

Radius of Pipe given Maximum Shear Stress at Cylindrical Element is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Radius of Pipe given Maximum Shear Stress at Cylindrical Element can be measured.

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