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Shearing Stress Formula

GoShear Stress Formula

GoTorsional Shear Stress Formula

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The Shearing Stress is a type of stress that acts coplanar with cross section of material. Check FAQs

𝜏 = \frac{V \cdot Ay}{I \cdot t}

𝜏 - Shearing Stress?V - Shearing Force?Ay - First Moment of Area?I - Moment of Inertia?t - Thickness of Material?

Shearing Stress Example

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Here is how the Shearing Stress equation looks like with Values.

Here is how the Shearing Stress equation looks like with Units.

Here is how the Shearing Stress equation looks like.

3.6 = \frac{42 \cdot 4500}{3.5 \cdot 0.015}

3.6Pa = \frac{42N \cdot 4500mm³}{3.5kg·m² \cdot 0.015mm}

3.6 = \frac{42 \cdot 4500}{3.5 \cdot 0.015}

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Shearing Stress Solution

Follow our step by step solution on how to calculate Shearing Stress?

FIRST Step Consider the formula

𝜏 = \frac{V \cdot Ay}{I \cdot t}

Next Step Substitute values of Variables

∴

𝜏 = \frac{42N \cdot 4500mm³}{3.5kg·m² \cdot 0.015mm}

Next Step Convert Units

∴

𝜏 = \frac{42N \cdot 4.5E-6m³}{3.5kg·m² \cdot 1.5E-5m}

Next Step Prepare to Evaluate

∴

𝜏 = \frac{42 \cdot 4.5E-6}{3.5 \cdot 1.5E-5}

LAST Step Evaluate

∴

𝜏 = 3.6Pa

Shearing Stress Formula Elements

Variables

Shearing Stress

The Shearing Stress is a type of stress that acts coplanar with cross section of material.

Symbol: 𝜏

Measurement: StressUnit: Pa

Note: Value should be greater than 0.

Formulas to find Shearing Stress

Shearing Force

The Shearing force are unaligned forces pushing one part of a body in one specific direction, and another part of the body in the opposite direction.

Symbol: V

Measurement: ForceUnit: N

Note: Value can be positive or negative.

Formulas to find Shearing Force

First Moment of Area

The First Moment of Area of a shape, about a certain axis, equals the sum over all the infinitesimal parts of the shape of the area of that part times its distance from the axis [Σ(a × d)].

Symbol: Ay

Measurement: First Moment of AreaUnit: mm³

Note: Value should be greater than 0.

Formulas to find First Moment of Area

Moment of Inertia

Moment of Inertia is the measure of the resistance of a body to angular acceleration about a given axis.

Symbol: I

Measurement: Moment of InertiaUnit: kg·m²

Note: Value should be greater than 0.

Formulas to find Moment of Inertia

Thickness of Material

The Thickness of Material is the distance through an object.

Symbol: t

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Thickness of Material

Other Formulas to find Shearing Stress

Go Shear Stress

𝜏 = \frac{F t}{A cs}

Go Torsional Shear Stress

𝜏 = \frac{τ \cdot r shaft}{J}

Other formulas in Stress category

Go Beam Shear Stress

ζ b = \frac{ΣS \cdot Ay}{I \cdot t}

Go Bending Stress

σ b = M b \cdot \frac{y}{I}

Go Bulk Stress

B stress = \frac{N.F}{A cs}

Go Direct Stress

σ = \frac{P axial}{A cs}

How to Evaluate Shearing Stress?

Shearing Stress evaluator uses Shearing Stress = (Shearing Force*First Moment of Area)/(Moment of Inertia*Thickness of Material) to evaluate the Shearing Stress, The Shearing Stress formula is defined as the measure of the type of stress that acts coplanar with a cross-section of material. Shearing Stress is denoted by 𝜏 symbol.

How to evaluate Shearing Stress using this online evaluator? To use this online evaluator for Shearing Stress, enter Shearing Force (V), First Moment of Area (Ay), Moment of Inertia (I) & Thickness of Material (t) and hit the calculate button.

FAQs on Shearing Stress

What is the formula to find Shearing Stress?

The formula of Shearing Stress is expressed as Shearing Stress = (Shearing Force*First Moment of Area)/(Moment of Inertia*Thickness of Material). Here is an example- 3.6 = (42*4.5E-06)/(3.5*1.5E-05).

How to calculate Shearing Stress?

With Shearing Force (V), First Moment of Area (Ay), Moment of Inertia (I) & Thickness of Material (t) we can find Shearing Stress using the formula - Shearing Stress = (Shearing Force*First Moment of Area)/(Moment of Inertia*Thickness of Material).

What are the other ways to Calculate Shearing Stress?

Here are the different ways to Calculate Shearing Stress-

Shearing Stress=Tangential Force/Cross Sectional Area
Shearing Stress=(Torque*Radius of Shaft)/Polar Moment of Inertia

Can the Shearing Stress be negative?

No, the Shearing Stress, measured in Stress cannot be negative.

Which unit is used to measure Shearing Stress?

Shearing Stress 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 Shearing Stress can be measured.

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: Value
: Unit

Shearing Stress Formula

​GoShear Stress Formula

​GoTorsional Shear Stress Formula

Shearing Stress Example

Shearing Stress Solution

Shearing Stress Formula Elements

Other Formulas to find Shearing Stress

Other formulas in Stress category

How to Evaluate Shearing Stress?

FAQs on Shearing Stress

Variable Name

GoShear Stress Formula

GoTorsional Shear Stress Formula