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Shear Stress given Shear Resistance Formula

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The Shear Stress in body is a type of stress that occurs when a force is applied parallel to the surface of an object, causing deformation. Check FAQs

𝜏 = \frac{R shear}{A shear}

𝜏 - Shear Stress in body?R_shear - Shear Resistance?A_shear - Shear Area?

Shear Stress given Shear Resistance Example

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Here is how the Shear Stress given Shear Resistance equation looks like with Values.

Here is how the Shear Stress given Shear Resistance equation looks like with Units.

Here is how the Shear Stress given Shear Resistance equation looks like.

200 = \frac{1.6}{8}

200MPa = \frac{1.6kN}{8mm²}

200 = \frac{1.6}{8}

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Shear Stress given Shear Resistance Solution

Follow our step by step solution on how to calculate Shear Stress given Shear Resistance?

FIRST Step Consider the formula

𝜏 = \frac{R shear}{A shear}

Next Step Substitute values of Variables

∴

𝜏 = \frac{1.6kN}{8mm²}

Next Step Convert Units

∴

𝜏 = \frac{1600N}{8E-6m²}

Next Step Prepare to Evaluate

∴

𝜏 = \frac{1600}{8E-6}

Next Step Evaluate

∴

𝜏 = 200000000Pa

LAST Step Convert to Output's Unit

∴

𝜏 = 200MPa

Shear Stress given Shear Resistance Formula Elements

Variables

Shear Stress in body

The Shear Stress in body is a type of stress that occurs when a force is applied parallel to the surface of an object, causing deformation.

Symbol: 𝜏

Measurement: StressUnit: MPa

Note: Value should be greater than 0.

Formulas to find Shear Stress in body

Shear Resistance

The Shear Resistance is the ability of a material to resist deformation due to shear stress, which occurs when forces parallel to the surface act on it.

Symbol: R_shear

Measurement: ForceUnit: kN

Note: Value can be positive or negative.

Formulas to find Shear Resistance

Shear Area

The Shear Area is the area that is subjected to shear stress, which is a force that causes deformation by sliding along a plane.

Symbol: A_shear

Measurement: AreaUnit: mm²

Note: Value should be greater than 0.

Formulas to find Shear Area

Other formulas in Types of Stresses category

Go Tensile Stress given Resisting Force

σ t = \frac{F resistance}{A}

Go Tensile Stress given Tensile Load

σ t = \frac{P load}{A}

Go Resisting Force given Tensile Stress

F resistance = σ t \cdot A

Go Tensile Load given Tensile Stress

P load = σ t \cdot A

How to Evaluate Shear Stress given Shear Resistance?

Shear Stress given Shear Resistance evaluator uses Shear Stress in body = Shear Resistance/Shear Area to evaluate the Shear Stress in body, Shear Stress given Shear Resistance formula is defined as a measure of the stress that occurs when a force is applied parallel to a surface, causing deformation by sliding or rotating along a plane, and is a critical concept in understanding the behavior of materials under various types of loading conditions. Shear Stress in body is denoted by 𝜏 symbol.

How to evaluate Shear Stress given Shear Resistance using this online evaluator? To use this online evaluator for Shear Stress given Shear Resistance, enter Shear Resistance (R_shear) & Shear Area (A_shear) and hit the calculate button.

FAQs on Shear Stress given Shear Resistance

What is the formula to find Shear Stress given Shear Resistance?

The formula of Shear Stress given Shear Resistance is expressed as Shear Stress in body = Shear Resistance/Shear Area. Here is an example- 0.0002 = 1600/8E-06.

How to calculate Shear Stress given Shear Resistance?

With Shear Resistance (R_shear) & Shear Area (A_shear) we can find Shear Stress given Shear Resistance using the formula - Shear Stress in body = Shear Resistance/Shear Area.

Can the Shear Stress given Shear Resistance be negative?

No, the Shear Stress given Shear Resistance, measured in Stress cannot be negative.

Which unit is used to measure Shear Stress given Shear Resistance?

Shear Stress given Shear Resistance is usually measured using the Megapascal[MPa] for Stress. Pascal[MPa], Newton per Square Meter[MPa], Newton per Square Millimeter[MPa] are the few other units in which Shear Stress given Shear Resistance can be measured.

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