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Shear Stress at any Cylindrical Element Formula

GoShear Stress at any Cylindrical Element given Head Loss Formula

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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. Check FAQs

𝜏 = dp|dr \cdot \frac{d radial}{2}

𝜏 - Shear Stress?dp|dr - Pressure Gradient?d_radial - Radial Distance?

Shear Stress at any Cylindrical Element Example

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Here is how the Shear Stress at any Cylindrical Element equation looks like with Values.

Here is how the Shear Stress at any Cylindrical Element equation looks like with Units.

Here is how the Shear Stress at any Cylindrical Element equation looks like.

78.2 = 17 \cdot \frac{9.2}{2}

78.2Pa = 17N/m³ \cdot \frac{9.2m}{2}

78.2 = 17 \cdot \frac{9.2}{2}

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Shear Stress at any Cylindrical Element Solution

Follow our step by step solution on how to calculate Shear Stress at any Cylindrical Element?

FIRST Step Consider the formula

𝜏 = dp|dr \cdot \frac{d radial}{2}

Next Step Substitute values of Variables

∴

𝜏 = 17N/m³ \cdot \frac{9.2m}{2}

Next Step Prepare to Evaluate

∴

𝜏 = 17 \cdot \frac{9.2}{2}

LAST Step Evaluate

∴

𝜏 = 78.2Pa

Shear Stress at any Cylindrical Element Formula Elements

Variables

Shear Stress

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.

Symbol: 𝜏

Measurement: StressUnit: Pa

Note: Value should be greater than 0.

Formulas to find Shear Stress

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

Radial Distance

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.

Symbol: d_radial

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Radial Distance

Other Formulas to find Shear Stress

Go Shear Stress at any Cylindrical Element given Head Loss

𝜏 = \frac{γ f \cdot h \cdot d radial}{2 \cdot L p}

Other formulas in Steady Laminar Flow in Circular Pipes category

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

d radial = 2 \cdot \frac{𝜏}{dp|dr}

Go Distance of Element from Center Line given Head Loss

d radial = 2 \cdot 𝜏 \cdot \frac{L p}{h \cdot γ f}

Go Velocity Gradient given Pressure Gradient at Cylindrical Element

V G = (\frac{1}{2 \cdot μ}) \cdot dp|dr \cdot d radial

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

d radial = 2 \cdot μ \cdot \frac{V G}{dp|dr}

How to Evaluate Shear Stress at any Cylindrical Element?

Shear Stress at any Cylindrical Element evaluator uses Shear Stress = Pressure Gradient*Radial Distance/2 to evaluate 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 evaluate Shear Stress at any Cylindrical Element using this online evaluator? To use this online evaluator for Shear Stress at any Cylindrical Element, enter Pressure Gradient (dp|dr) & Radial Distance (d_radial) and hit the calculate button.

FAQs on Shear Stress at any Cylindrical Element

What is the formula to find Shear Stress at any Cylindrical Element?

The formula of Shear Stress at any Cylindrical Element is expressed as Shear Stress = Pressure Gradient*Radial Distance/2. Here is an example- 78.2 = 17*9.2/2.

How to calculate Shear Stress at any Cylindrical Element?

With Pressure Gradient (dp|dr) & Radial Distance (d_radial) we can find Shear Stress at any Cylindrical Element using the formula - Shear Stress = Pressure Gradient*Radial Distance/2.

What are the other ways to Calculate Shear Stress?

Here are the different ways to Calculate Shear Stress-

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

Can the Shear Stress at any Cylindrical Element be negative?

No, the Shear Stress at any Cylindrical Element, measured in Stress cannot be negative.

Which unit is used to measure Shear Stress at any Cylindrical Element?

Shear Stress at any Cylindrical Element is usually measured using the Pascal[Pa] for Stress. Newton per Square Meter[Pa], Newton per Square Millimeter[Pa], Kilonewton per Square Meter[Pa] are the few other units in which Shear Stress at any Cylindrical Element can be measured.

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