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Bending Stress Formula

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The Bending Stress is the normal stress that is induced at a point in a body subjected to loads that cause it to bend. Check FAQs

σ b = M b \cdot \frac{y}{I}

σ_b - Bending Stress?M_b - Bending Moment?y - Distance from Neutral Axis?I - Moment of Inertia?

Bending Stress Example

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With units

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

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

Here is how the Bending Stress equation looks like.

6.5E-5 = 450 \cdot \frac{503}{3.5}

6.5E-5MPa = 450N*m \cdot \frac{503mm}{3.5kg·m²}

6.5E-5 = 450 \cdot \frac{503}{3.5}

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Bending Stress Solution

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

FIRST Step Consider the formula

σ b = M b \cdot \frac{y}{I}

Next Step Substitute values of Variables

∴

σ b = 450N*m \cdot \frac{503mm}{3.5kg·m²}

Next Step Convert Units

∴

σ b = 450N*m \cdot \frac{0.503m}{3.5kg·m²}

Next Step Prepare to Evaluate

∴

σ b = 450 \cdot \frac{0.503}{3.5}

Next Step Evaluate

∴

σ b = 64.6714285714286Pa

Next Step Convert to Output's Unit

∴

σ b = 6.46714285714286E-05MPa

LAST Step Rounding Answer

∴

σ b = 6.5E-5MPa

Bending Stress Formula Elements

Variables

Bending Stress

The Bending Stress is the normal stress that is induced at a point in a body subjected to loads that cause it to bend.

Symbol: σ_b

Measurement: PressureUnit: MPa

Note: Value should be greater than 0.

Formulas to find Bending Stress

Bending Moment

The Bending Moment is the reaction induced in a structural element when an external force or moment is applied to the element, causing the element to bend.

Symbol: M_b

Measurement: Moment of ForceUnit: N*m

Note: Value should be greater than 0.

Formulas to find Bending Moment

Distance from Neutral Axis

Distance from Neutral Axis is defined as the distance from an axis in the cross section of a beam or shaft along which there are no longitudinal stresses or strains.

Symbol: y

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Distance from Neutral Axis

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

Other formulas in Stress category

Go Beam Shear Stress

ζ b = \frac{ΣS \cdot Ay}{I \cdot t}

Go Bulk Stress

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

Go Direct Stress

σ = \frac{P axial}{A cs}

Go Maximum Shearing Stress

σ 1 = \frac{1.5 \cdot V}{A cs}

How to Evaluate Bending Stress?

Bending Stress evaluator uses Bending Stress = Bending Moment*Distance from Neutral Axis/Moment of Inertia to evaluate the Bending Stress, The Bending Stress Formula is defined as the normal stress that is induced at a point in a body subjected to loads that cause it to bend. Bending Stress is denoted by σ_b symbol.

How to evaluate Bending Stress using this online evaluator? To use this online evaluator for Bending Stress, enter Bending Moment (M_b), Distance from Neutral Axis (y) & Moment of Inertia (I) and hit the calculate button.

FAQs on Bending Stress

What is the formula to find Bending Stress?

The formula of Bending Stress is expressed as Bending Stress = Bending Moment*Distance from Neutral Axis/Moment of Inertia. Here is an example- 64.67143 = 450*0.503/3.5.

How to calculate Bending Stress?

With Bending Moment (M_b), Distance from Neutral Axis (y) & Moment of Inertia (I) we can find Bending Stress using the formula - Bending Stress = Bending Moment*Distance from Neutral Axis/Moment of Inertia.

Can the Bending Stress be negative?

No, the Bending Stress, measured in Pressure cannot be negative.

Which unit is used to measure Bending Stress?

Bending Stress is usually measured using the Megapascal[MPa] for Pressure. Pascal[MPa], Kilopascal[MPa], Bar[MPa] are the few other units in which Bending Stress can be measured.

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Bending Stress Formula

Bending Stress Example

Bending Stress Solution

Bending Stress Formula Elements

Other formulas in Stress category

How to Evaluate Bending Stress?

FAQs on Bending Stress

Variable Name