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Maximum Bending Stress Formula

GoMaximum Bending Stress given Rectangular Section Modulus Formula

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Maximum 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 max = \frac{M b \cdot c}{J}

σ_max - Maximum Bending Stress?M_b - Bending Moment?c - Distance from Neutral Axis to Extreme Point?J - Polar Moment of Inertia?

Maximum Bending Stress Example

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

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

Here is how the Maximum Bending Stress equation looks like.

9.8E-9 = \frac{53 \cdot 10}{54.2}

9.8E-9N/mm² = \frac{53N*m \cdot 10mm}{54.2m⁴}

9.8E-9 = \frac{53 \cdot 10}{54.2}

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Maximum Bending Stress Solution

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

FIRST Step Consider the formula

σ max = \frac{M b \cdot c}{J}

Next Step Substitute values of Variables

∴

σ max = \frac{53N*m \cdot 10mm}{54.2m⁴}

Next Step Convert Units

∴

σ max = \frac{53N*m \cdot 0.01m}{54.2m⁴}

Next Step Prepare to Evaluate

∴

σ max = \frac{53 \cdot 0.01}{54.2}

Next Step Evaluate

∴

σ max = 0.00977859778597786Pa

Next Step Convert to Output's Unit

∴

σ max = 9.77859778597786E-09N/mm²

LAST Step Rounding Answer

∴

σ max = 9.8E-9N/mm²

Maximum Bending Stress Formula Elements

Variables

Maximum Bending Stress

Maximum 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_max

Measurement: PressureUnit: N/mm²

Note: Value should be greater than 0.

Formulas to find Maximum 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 to Extreme Point

Distance from Neutral Axis to Extreme Point is the distance between the neutral axis and the extreme point.

Symbol: c

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Distance from Neutral Axis to Extreme Point

Polar Moment of Inertia

The Polar moment of Inertia is a shaft or beam's resistance to being distorted by torsion, as a function of its shape.

Symbol: J

Measurement: Second Moment of AreaUnit: m⁴

Note: Value can be positive or negative.

Formulas to find Polar Moment of Inertia

Other Formulas to find Maximum Bending Stress

Go Maximum Bending Stress given Rectangular Section Modulus

σ max = \frac{M b}{Z}

Other formulas in Stress in Design category

Go Torsional Shear Stress in Bar

σ s = \frac{8 \cdot F \cdot d coil}{π \cdot {d s}^{3}}

Go Shear Stress on Circular Fillet Weld Subjected to Torsion

σ s = \frac{Mt t}{π \cdot h t \cdot r^{2}}

Go Shear Stress in Parallel Fillet Weld

𝜏 = \frac{P f}{0.707 \cdot L \cdot h l}

Go Shear Stress in Double Parallel Fillet Weld

𝜏 = \frac{P dp}{0.707 \cdot L \cdot h l}

How to Evaluate Maximum Bending Stress?

Maximum Bending Stress evaluator uses Maximum Bending Stress = (Bending Moment*Distance from Neutral Axis to Extreme Point)/(Polar Moment of Inertia) to evaluate the Maximum Bending Stress, Maximum bending stress is the normal stress that is induced at a point in a body subjected to loads that cause it to bend. Maximum Bending Stress is denoted by σ_max symbol.

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

FAQs on Maximum Bending Stress

What is the formula to find Maximum Bending Stress?

The formula of Maximum Bending Stress is expressed as Maximum Bending Stress = (Bending Moment*Distance from Neutral Axis to Extreme Point)/(Polar Moment of Inertia). Here is an example- 9.8E-15 = (53*0.01)/(54.2).

How to calculate Maximum Bending Stress?

With Bending Moment (M_b), Distance from Neutral Axis to Extreme Point (c) & Polar Moment of Inertia (J) we can find Maximum Bending Stress using the formula - Maximum Bending Stress = (Bending Moment*Distance from Neutral Axis to Extreme Point)/(Polar Moment of Inertia).

What are the other ways to Calculate Maximum Bending Stress?

Here are the different ways to Calculate Maximum Bending Stress-

Maximum Bending Stress=Bending Moment/Rectangular Section Modulus

Can the Maximum Bending Stress be negative?

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

Which unit is used to measure Maximum Bending Stress?

Maximum Bending Stress is usually measured using the Newton per Square Millimeter[N/mm²] for Pressure. Pascal[N/mm²], Kilopascal[N/mm²], Bar[N/mm²] are the few other units in which Maximum Bending Stress can be measured.

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Maximum Bending Stress Formula

​GoMaximum Bending Stress given Rectangular Section Modulus Formula

Maximum Bending Stress Example

Maximum Bending Stress Solution

Maximum Bending Stress Formula Elements

Other Formulas to find Maximum Bending Stress

Other formulas in Stress in Design category

How to Evaluate Maximum Bending Stress?

FAQs on Maximum Bending Stress

Variable Name

GoMaximum Bending Stress given Rectangular Section Modulus Formula