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Bending Stress of Circular Shaft given Equivalent Bending Moment 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 = \frac{32 \cdot M e}{π \cdot (Φ^{3})}

σ_b - Bending Stress?M_e - Equivalent Bending Moment?Φ - Diameter of Circular Shaft?π - Archimedes' constant?

Bending Stress of Circular Shaft given Equivalent Bending Moment Example

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Here is how the Bending Stress of Circular Shaft given Equivalent Bending Moment equation looks like with Values.

Here is how the Bending Stress of Circular Shaft given Equivalent Bending Moment equation looks like with Units.

Here is how the Bending Stress of Circular Shaft given Equivalent Bending Moment equation looks like.

0.7243 = \frac{32 \cdot 30}{3.1416 \cdot (750^{3})}

0.7243MPa = \frac{32 \cdot 30kN*m}{3.1416 \cdot ({750mm}^{3})}

0.7243 = \frac{32 \cdot 30}{3.1416 \cdot (750^{3})}

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Bending Stress of Circular Shaft given Equivalent Bending Moment Solution

Follow our step by step solution on how to calculate Bending Stress of Circular Shaft given Equivalent Bending Moment?

FIRST Step Consider the formula

σ b = \frac{32 \cdot M e}{π \cdot (Φ^{3})}

Next Step Substitute values of Variables

∴

σ b = \frac{32 \cdot 30kN*m}{π \cdot ({750mm}^{3})}

Next Step Substitute values of Constants

∴

σ b = \frac{32 \cdot 30kN*m}{3.1416 \cdot ({750mm}^{3})}

Next Step Convert Units

∴

σ b = \frac{32 \cdot 30000N*m}{3.1416 \cdot ({0.75m}^{3})}

Next Step Prepare to Evaluate

∴

σ b = \frac{32 \cdot 30000}{3.1416 \cdot ({0.75}^{3})}

Next Step Evaluate

∴

σ b = 724331.829893781Pa

Next Step Convert to Output's Unit

∴

σ b = 0.724331829893781MPa

LAST Step Rounding Answer

∴

σ b = 0.7243MPa

Bending Stress of Circular Shaft given Equivalent Bending Moment Formula Elements

Variables

Constants

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: StressUnit: MPa

Note: Value should be greater than 0.

Formulas to find Bending Stress

Equivalent Bending Moment

The Equivalent Bending Moment is a bending moment which, acting alone, would produce in a circular shaft a normal stress.

Symbol: M_e

Measurement: Moment of ForceUnit: kN*m

Note: Value should be greater than 0.

Formulas to find Equivalent Bending Moment

Diameter of Circular Shaft

Diameter of circular shaft is denoted by d.

Symbol: Φ

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Diameter of Circular Shaft

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

Other formulas in Equivalent Bending Moment and Torque category

Go Maximum Shear Stress due to Equivalent Torque

τ max = \frac{16 \cdot T e}{π \cdot (Φ^{3})}

Go Diameter of Circular Shaft given Equivalent Bending Stress

Φ = {(\frac{32 \cdot M e}{π \cdot (σ b)})}^{\frac{1}{3}}

Go Diameter of Circular Shaft for Equivalent Torque and Maximum Shear Stress

Φ = {(\frac{16 \cdot T e}{π \cdot (τ max)})}^{\frac{1}{3}}

Go Equivalent Torque given Maximum Shear Stress

T e = \frac{τ max}{\frac{16}{π \cdot (Φ^{3})}}

How to Evaluate Bending Stress of Circular Shaft given Equivalent Bending Moment?

Bending Stress of Circular Shaft given Equivalent Bending Moment evaluator uses Bending Stress = (32*Equivalent Bending Moment)/(pi*(Diameter of Circular Shaft^3)) to evaluate the Bending Stress, The Bending Stress of Circular Shaft given Equivalent Bending Moment formula is defined as the normal stress that an object encounters when it is subjected to a large load at a particular point that causes the object to bend and become fatigued. Bending Stress is denoted by σ_b symbol.

How to evaluate Bending Stress of Circular Shaft given Equivalent Bending Moment using this online evaluator? To use this online evaluator for Bending Stress of Circular Shaft given Equivalent Bending Moment, enter Equivalent Bending Moment (M_e) & Diameter of Circular Shaft (Φ) and hit the calculate button.

FAQs on Bending Stress of Circular Shaft given Equivalent Bending Moment

What is the formula to find Bending Stress of Circular Shaft given Equivalent Bending Moment?

The formula of Bending Stress of Circular Shaft given Equivalent Bending Moment is expressed as Bending Stress = (32*Equivalent Bending Moment)/(pi*(Diameter of Circular Shaft^3)). Here is an example- 7.2E-7 = (32*30000)/(pi*(0.75^3)).

How to calculate Bending Stress of Circular Shaft given Equivalent Bending Moment?

With Equivalent Bending Moment (M_e) & Diameter of Circular Shaft (Φ) we can find Bending Stress of Circular Shaft given Equivalent Bending Moment using the formula - Bending Stress = (32*Equivalent Bending Moment)/(pi*(Diameter of Circular Shaft^3)). This formula also uses Archimedes' constant .

Can the Bending Stress of Circular Shaft given Equivalent Bending Moment be negative?

No, the Bending Stress of Circular Shaft given Equivalent Bending Moment, measured in Stress cannot be negative.

Which unit is used to measure Bending Stress of Circular Shaft given Equivalent Bending Moment?

Bending Stress of Circular Shaft given Equivalent Bending Moment is usually measured using the Megapascal[MPa] for Stress. Pascal[MPa], Newton per Square Meter[MPa], Newton per Square Millimeter[MPa] are the few other units in which Bending Stress of Circular Shaft given Equivalent Bending Moment can be measured.

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Bending Stress of Circular Shaft given Equivalent Bending Moment Formula

Bending Stress of Circular Shaft given Equivalent Bending Moment Example

Bending Stress of Circular Shaft given Equivalent Bending Moment Solution

Bending Stress of Circular Shaft given Equivalent Bending Moment Formula Elements

Other formulas in Equivalent Bending Moment and Torque category

How to Evaluate Bending Stress of Circular Shaft given Equivalent Bending Moment?

FAQs on Bending Stress of Circular Shaft given Equivalent Bending Moment

Variable Name