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Bending Stress in Shaft 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 b}{π \cdot {d s}^{3}}

σ_b - Bending Stress?M_b - Bending Moment?d_s - Diameter of Shaft?π - Archimedes' constant?

Bending Stress in Shaft Example

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

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

Here is how the Bending Stress in Shaft equation looks like.

312.4153 = \frac{32 \cdot 53}{3.1416 \cdot 1200^{3}}

312.4153Pa = \frac{32 \cdot 53N*m}{3.1416 \cdot {1200mm}^{3}}

312.4153 = \frac{32 \cdot 53}{3.1416 \cdot 1200^{3}}

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Bending Stress in Shaft Solution

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

FIRST Step Consider the formula

σ b = \frac{32 \cdot M b}{π \cdot {d s}^{3}}

Next Step Substitute values of Variables

∴

σ b = \frac{32 \cdot 53N*m}{π \cdot {1200mm}^{3}}

Next Step Substitute values of Constants

∴

σ b = \frac{32 \cdot 53N*m}{3.1416 \cdot {1200mm}^{3}}

Next Step Convert Units

∴

σ b = \frac{32 \cdot 53N*m}{3.1416 \cdot {1.2m}^{3}}

Next Step Prepare to Evaluate

∴

σ b = \frac{32 \cdot 53}{3.1416 \cdot {1.2}^{3}}

Next Step Evaluate

∴

σ b = 312.415258661869Pa

LAST Step Rounding Answer

∴

σ b = 312.4153Pa

Bending Stress in Shaft 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: PressureUnit: Pa

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

Diameter of Shaft

The Diameter of Shaft is the diameter of the external surface of a shaft which is a rotating element in the transmitting system for transmitting power.

Symbol: d_s

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Diameter of 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 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 Bending Stress in Shaft?

Bending Stress in Shaft evaluator uses Bending Stress = (32*Bending Moment)/(pi*Diameter of Shaft^3) to evaluate the Bending Stress, The bending stress in shaft is the normal stress that shaft 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 in Shaft using this online evaluator? To use this online evaluator for Bending Stress in Shaft, enter Bending Moment (M_b) & Diameter of Shaft (d_s) and hit the calculate button.

FAQs on Bending Stress in Shaft

What is the formula to find Bending Stress in Shaft?

The formula of Bending Stress in Shaft is expressed as Bending Stress = (32*Bending Moment)/(pi*Diameter of Shaft^3). Here is an example- 312.4153 = (32*53)/(pi*1.2^3).

How to calculate Bending Stress in Shaft?

With Bending Moment (M_b) & Diameter of Shaft (d_s) we can find Bending Stress in Shaft using the formula - Bending Stress = (32*Bending Moment)/(pi*Diameter of Shaft^3). This formula also uses Archimedes' constant .

Can the Bending Stress in Shaft be negative?

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

Which unit is used to measure Bending Stress in Shaft?

Bending Stress in Shaft is usually measured using the Pascal[Pa] for Pressure. Kilopascal[Pa], Bar[Pa], Pound Per Square Inch[Pa] are the few other units in which Bending Stress in Shaft can be measured.

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Bending Stress in Shaft Formula

Bending Stress in Shaft Example

Bending Stress in Shaft Solution

Bending Stress in Shaft Formula Elements

Other formulas in Stress in Design category

How to Evaluate Bending Stress in Shaft?

FAQs on Bending Stress in Shaft

Variable Name