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Maximum 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}{Z}

σ_max - Maximum Bending Stress?M_b - Bending Moment?Z - Rectangular Section Modulus?

Maximum Bending Stress given Rectangular Section Modulus Example

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Here is how the Maximum Bending Stress given Rectangular Section Modulus equation looks like with Values.

Here is how the Maximum Bending Stress given Rectangular Section Modulus equation looks like with Units.

Here is how the Maximum Bending Stress given Rectangular Section Modulus equation looks like.

3312.5 = \frac{53}{16}

3312.5N/mm² = \frac{53N*m}{16mm³}

3312.5 = \frac{53}{16}

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Maximum Bending Stress given Rectangular Section Modulus Solution

Follow our step by step solution on how to calculate Maximum Bending Stress given Rectangular Section Modulus?

FIRST Step Consider the formula

σ max = \frac{M b}{Z}

Next Step Substitute values of Variables

∴

σ max = \frac{53N*m}{16mm³}

Next Step Convert Units

∴

σ max = \frac{53N*m}{1.6E-8m³}

Next Step Prepare to Evaluate

∴

σ max = \frac{53}{1.6E-8}

Next Step Evaluate

∴

σ max = 3312500000Pa

LAST Step Convert to Output's Unit

∴

σ max = 3312.5N/mm²

Maximum Bending Stress given Rectangular Section Modulus 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

Rectangular Section Modulus

Rectangular section modulus is a geometric property for a given cross-section used in the design of beams or flexural members.

Symbol: Z

Measurement: VolumeUnit: mm³

Note: Value should be greater than 0.

Formulas to find Rectangular Section Modulus

Other Formulas to find Maximum Bending Stress

Go Maximum Bending Stress

σ max = \frac{M b \cdot c}{J}

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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 given Rectangular Section Modulus?

Maximum Bending Stress given Rectangular Section Modulus evaluator uses Maximum Bending Stress = Bending Moment/Rectangular Section Modulus to evaluate the Maximum Bending Stress, The Maximum Bending Stress given Rectangular Section Modulus is defined as the maximum stress occurs at the surface of the beam farthest from the neutral axis. Maximum Bending Stress is denoted by σ_max symbol.

How to evaluate Maximum Bending Stress given Rectangular Section Modulus using this online evaluator? To use this online evaluator for Maximum Bending Stress given Rectangular Section Modulus, enter Bending Moment (M_b) & Rectangular Section Modulus (Z) and hit the calculate button.

FAQs on Maximum Bending Stress given Rectangular Section Modulus

What is the formula to find Maximum Bending Stress given Rectangular Section Modulus?

The formula of Maximum Bending Stress given Rectangular Section Modulus is expressed as Maximum Bending Stress = Bending Moment/Rectangular Section Modulus. Here is an example- 0.003312 = 53/1.6E-08.

How to calculate Maximum Bending Stress given Rectangular Section Modulus?

With Bending Moment (M_b) & Rectangular Section Modulus (Z) we can find Maximum Bending Stress given Rectangular Section Modulus using the formula - Maximum Bending Stress = Bending Moment/Rectangular Section Modulus.

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*Distance from Neutral Axis to Extreme Point)/(Polar Moment of Inertia)

Can the Maximum Bending Stress given Rectangular Section Modulus be negative?

No, the Maximum Bending Stress given Rectangular Section Modulus, measured in Pressure cannot be negative.

Which unit is used to measure Maximum Bending Stress given Rectangular Section Modulus?

Maximum Bending Stress given Rectangular Section Modulus 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 given Rectangular Section Modulus can be measured.

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Maximum Bending Stress given Rectangular Section Modulus Formula

​GoMaximum Bending Stress Formula

Maximum Bending Stress given Rectangular Section Modulus Example

Maximum Bending Stress given Rectangular Section Modulus Solution

Maximum Bending Stress given Rectangular Section Modulus Formula Elements

Other Formulas to find Maximum Bending Stress

Other formulas in Stress in Design category

How to Evaluate Maximum Bending Stress given Rectangular Section Modulus?

FAQs on Maximum Bending Stress given Rectangular Section Modulus

Variable Name

GoMaximum Bending Stress Formula