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Shear Stresses 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 = γ f \cdot dh /dx \cdot \frac{d radial}{2}

𝜏 - Shear Stress?γ_f - Specific Weight of Liquid?dh_/dx - Piezometric Gradient?d_radial - Radial Distance?

Shear Stresses Example

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Here is how the Shear Stresses equation looks like with Values.

Here is how the Shear Stresses equation looks like with Units.

Here is how the Shear Stresses equation looks like.

451260 = 9.81 \cdot 10 \cdot \frac{9.2}{2}

451260Pa = 9.81kN/m³ \cdot 10 \cdot \frac{9.2m}{2}

451260 = 9.81 \cdot 10 \cdot \frac{9.2}{2}

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Shear Stresses Solution

Follow our step by step solution on how to calculate Shear Stresses?

FIRST Step Consider the formula

𝜏 = γ f \cdot dh /dx \cdot \frac{d radial}{2}

Next Step Substitute values of Variables

∴

𝜏 = 9.81kN/m³ \cdot 10 \cdot \frac{9.2m}{2}

Next Step Convert Units

∴

𝜏 = 9810N/m³ \cdot 10 \cdot \frac{9.2m}{2}

Next Step Prepare to Evaluate

∴

𝜏 = 9810 \cdot 10 \cdot \frac{9.2}{2}

LAST Step Evaluate

∴

𝜏 = 451260Pa

Shear Stresses 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

Specific Weight of Liquid

The Specific Weight of Liquid refers to the weight per unit volume of that substance.

Symbol: γ_f

Measurement: Specific WeightUnit: kN/m³

Note: Value should be greater than 0.

Formulas to find Specific Weight of Liquid

Piezometric Gradient

The Piezometric Gradient refers to the measure of the change in hydraulic head (or piezometric head) per unit distance in a given direction within a fluid system.

Symbol: dh_/dx

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Piezometric 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 in Laminar Flow Through Inclined Pipes category

Go Radius of Elemental Section of Pipe given Shear Stress

d radial = \frac{2 \cdot 𝜏}{γ f \cdot dh /dx}

Go Specific Weight of Fluid given Shear Stress

γ f = \frac{2 \cdot 𝜏}{d radial \cdot dh /dx}

Go Piezometric Gradient given Shear Stress

dh /dx = \frac{2 \cdot 𝜏}{γ f \cdot d radial}

Go Velocity Gradient given Piezometric Gradient with Shear Stress

V G = (\frac{γ f}{μ}) \cdot dh /dx \cdot 0.5 \cdot d radial

How to Evaluate Shear Stresses?

Shear Stresses evaluator uses Shear Stress = Specific Weight of Liquid*Piezometric Gradient*Radial Distance/2 to evaluate the Shear Stress, The Shear Stresses is defined as stress or resistance developed with respect respect to boundary condition due to liquid flowing through it. Shear Stress is denoted by 𝜏 symbol.

How to evaluate Shear Stresses using this online evaluator? To use this online evaluator for Shear Stresses, enter Specific Weight of Liquid (γ_f), Piezometric Gradient (dh_/dx) & Radial Distance (d_radial) and hit the calculate button.

FAQs on Shear Stresses

What is the formula to find Shear Stresses?

The formula of Shear Stresses is expressed as Shear Stress = Specific Weight of Liquid*Piezometric Gradient*Radial Distance/2. Here is an example- 451260 = 9810*10*9.2/2.

How to calculate Shear Stresses?

With Specific Weight of Liquid (γ_f), Piezometric Gradient (dh_/dx) & Radial Distance (d_radial) we can find Shear Stresses using the formula - Shear Stress = Specific Weight of Liquid*Piezometric Gradient*Radial Distance/2.

Can the Shear Stresses be negative?

No, the Shear Stresses, measured in Stress cannot be negative.

Which unit is used to measure Shear Stresses?

Shear Stresses 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 Stresses can be measured.

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