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Shear Resistance given Shear Stress Formula

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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. Check FAQs

R shear = 𝜏 \cdot A shear

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

Shear Resistance given Shear Stress Example

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

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

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

1.6 = 200 \cdot 8

1.6kN = 200MPa \cdot 8mm²

1.6 = 200 \cdot 8

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Shear Resistance given Shear Stress Solution

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

FIRST Step Consider the formula

R shear = 𝜏 \cdot A shear

Next Step Substitute values of Variables

∴

R shear = 200MPa \cdot 8mm²

Next Step Convert Units

∴

R shear = 2E+8Pa \cdot 8E-6m²

Next Step Prepare to Evaluate

∴

R shear = 2E+8 \cdot 8E-6

Next Step Evaluate

∴

R shear = 1600N

LAST Step Convert to Output's Unit

∴

R shear = 1.6kN

Shear Resistance given Shear Stress Formula Elements

Variables

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 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 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 Resistance given Shear Stress?

Shear Resistance given Shear Stress evaluator uses Shear Resistance = Shear Stress in body*Shear Area to evaluate the Shear Resistance, Shear Resistance given Shear Stress formula is defined as a measure of the internal resistance of a material to shear stress, which is a type of stress that causes deformation by sliding or rotating along a plane. It is an important concept in materials science and engineering, used to analyze and predict the behavior of materials under various types of loading. Shear Resistance is denoted by R_shear symbol.

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

FAQs on Shear Resistance given Shear Stress

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

The formula of Shear Resistance given Shear Stress is expressed as Shear Resistance = Shear Stress in body*Shear Area. Here is an example- 1.6E-6 = 200000000*8E-06.

How to calculate Shear Resistance given Shear Stress?

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

Can the Shear Resistance given Shear Stress be negative?

Yes, the Shear Resistance given Shear Stress, measured in Force can be negative.

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

Shear Resistance given Shear Stress is usually measured using the Kilonewton[kN] for Force. Newton[kN], Exanewton[kN], Meganewton[kN] are the few other units in which Shear Resistance given Shear Stress can be measured.

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