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Shear Stress Distribution Profile 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{w}{2} - R)

𝜏 - Shear Stress?dp|dr - Pressure Gradient?w - Width?R - Horizontal Distance?

Shear Stress Distribution Profile Example

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Here is how the Shear Stress Distribution Profile equation looks like with Values.

Here is how the Shear Stress Distribution Profile equation looks like with Units.

Here is how the Shear Stress Distribution Profile equation looks like.

91.8 = - 17 \cdot (\frac{3}{2} - 6.9)

91.8Pa = - 17N/m³ \cdot (\frac{3m}{2} - 6.9m)

91.8 = - 17 \cdot (\frac{3}{2} - 6.9)

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Shear Stress Distribution Profile Solution

Follow our step by step solution on how to calculate Shear Stress Distribution Profile?

FIRST Step Consider the formula

𝜏 = - dp|dr \cdot (\frac{w}{2} - R)

Next Step Substitute values of Variables

∴

𝜏 = - 17N/m³ \cdot (\frac{3m}{2} - 6.9m)

Next Step Prepare to Evaluate

∴

𝜏 = - 17 \cdot (\frac{3}{2} - 6.9)

LAST Step Evaluate

∴

𝜏 = 91.8Pa

Shear Stress Distribution Profile 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

Width

Width is the measurement or extent of something from side to side.

Symbol: w

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Width

Horizontal Distance

Horizontal Distance denotes the instantaneous horizontal distance cover by an object in a projectile motion.

Symbol: R

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Horizontal Distance

Other formulas in Laminar Flow between Parallel Plates, both Plates at Rest category

Go Velocity Distribution Profile

v = - (\frac{1}{2 \cdot μ}) \cdot dp|dr \cdot (w \cdot R - (R^{2}))

Go Distance between Plates using Velocity Distribution Profile

w = \frac{(\frac{- v \cdot 2 \cdot μ}{dp|dr}) + (R^{2})}{R}

Go Maximum Velocity between Plates

V max = \frac{(w^{2}) \cdot dp|dr}{8 \cdot μ}

Go Distance between Plates given Maximum Velocity between Plates

w = \sqrt{\frac{8 \cdot μ \cdot V max}{dp|dr}}

How to Evaluate Shear Stress Distribution Profile?

Shear Stress Distribution Profile evaluator uses Shear Stress = -Pressure Gradient*(Width/2-Horizontal Distance) to evaluate the Shear Stress, The Shear Stress Distribution Profile is defined as the stress or resistance developed due to boundary condition and roughness of pipe. Shear Stress is denoted by 𝜏 symbol.

How to evaluate Shear Stress Distribution Profile using this online evaluator? To use this online evaluator for Shear Stress Distribution Profile, enter Pressure Gradient (dp|dr), Width (w) & Horizontal Distance (R) and hit the calculate button.

FAQs on Shear Stress Distribution Profile

What is the formula to find Shear Stress Distribution Profile?

The formula of Shear Stress Distribution Profile is expressed as Shear Stress = -Pressure Gradient*(Width/2-Horizontal Distance). Here is an example- 91.8 = -17*(3/2-6.9).

How to calculate Shear Stress Distribution Profile?

With Pressure Gradient (dp|dr), Width (w) & Horizontal Distance (R) we can find Shear Stress Distribution Profile using the formula - Shear Stress = -Pressure Gradient*(Width/2-Horizontal Distance).

Can the Shear Stress Distribution Profile be negative?

No, the Shear Stress Distribution Profile, measured in Stress cannot be negative.

Which unit is used to measure Shear Stress Distribution Profile?

Shear Stress Distribution Profile 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 Distribution Profile can be measured.

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