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Diameter of Solid Shaft based on Equivalent Bending Moment Formula

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Diameter of Solid Shaft for Agitator is defined as the diameter of the hole in the iron laminations that contains the shaft. Check FAQs

d solidshaft = {(M e \cdot \frac{32}{π} \cdot \frac{1}{f b})}^{\frac{1}{3}}

d_solidshaft - Diameter of Solid Shaft for Agitator?M_e - Equivalent Bending Moment?f_b - Bending Stress?π - Archimedes' constant?

Diameter of Solid Shaft based on Equivalent Bending Moment Example

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Here is how the Diameter of Solid Shaft based on Equivalent Bending Moment equation looks like with Values.

Here is how the Diameter of Solid Shaft based on Equivalent Bending Moment equation looks like with Units.

Here is how the Diameter of Solid Shaft based on Equivalent Bending Moment equation looks like.

6.3384 = {(5000 \cdot \frac{32}{3.1416} \cdot \frac{1}{200})}^{\frac{1}{3}}

6.3384mm = {(5000N*mm \cdot \frac{32}{3.1416} \cdot \frac{1}{200N/mm²})}^{\frac{1}{3}}

6.3384 = {(5000 \cdot \frac{32}{3.1416} \cdot \frac{1}{200})}^{\frac{1}{3}}

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Diameter of Solid Shaft based on Equivalent Bending Moment Solution

Follow our step by step solution on how to calculate Diameter of Solid Shaft based on Equivalent Bending Moment?

FIRST Step Consider the formula

d solidshaft = {(M e \cdot \frac{32}{π} \cdot \frac{1}{f b})}^{\frac{1}{3}}

Next Step Substitute values of Variables

∴

d solidshaft = {(5000N*mm \cdot \frac{32}{π} \cdot \frac{1}{200N/mm²})}^{\frac{1}{3}}

Next Step Substitute values of Constants

∴

d solidshaft = {(5000N*mm \cdot \frac{32}{3.1416} \cdot \frac{1}{200N/mm²})}^{\frac{1}{3}}

Next Step Convert Units

∴

d solidshaft = {(5N*m \cdot \frac{32}{3.1416} \cdot \frac{1}{2E+8Pa})}^{\frac{1}{3}}

Next Step Prepare to Evaluate

∴

d solidshaft = {(5 \cdot \frac{32}{3.1416} \cdot \frac{1}{2E+8})}^{\frac{1}{3}}

Next Step Evaluate

∴

d solidshaft = 0.00633840576754909m

Next Step Convert to Output's Unit

∴

d solidshaft = 6.33840576754909mm

LAST Step Rounding Answer

∴

d solidshaft = 6.3384mm

Diameter of Solid Shaft based on Equivalent Bending Moment Formula Elements

Variables

Constants

Diameter of Solid Shaft for Agitator

Diameter of Solid Shaft for Agitator is defined as the diameter of the hole in the iron laminations that contains the shaft.

Symbol: d_solidshaft

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Diameter of Solid Shaft for Agitator

Equivalent Bending Moment

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

Symbol: M_e

Measurement: Bending MomentUnit: N*mm

Note: Value should be greater than 0.

Formulas to find Equivalent Bending Moment

Bending Stress

Bending stress is 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.

Symbol: f_b

Measurement: StressUnit: N/mm²

Note: Value should be greater than 0.

Formulas to find Bending Stress

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 Design of Agitation System Components category

Go Equivalent Twisting Moment for Solid Shaft

Te solidshaft = (\sqrt{({M m}^{2}) + ({T m}^{2})})

Go Equivalent Twisting Moment for Hollow Shaft

Te hollowshaft = (\frac{π}{16}) \cdot (f b) \cdot ({d o}^{3}) \cdot (1 - k^{4})

Go Equivalent Bending Moment for Solid Shaft

Me solidshaft = (\frac{1}{2}) \cdot (M m + \sqrt{{M m}^{2} + {T m}^{2}})

Go Equivalent Bending Moment for Hollow Shaft

Me hollowshaft = (\frac{π}{32}) \cdot (f b) \cdot ({d o}^{3}) \cdot (1 - k^{4})

How to Evaluate Diameter of Solid Shaft based on Equivalent Bending Moment?

Diameter of Solid Shaft based on Equivalent Bending Moment evaluator uses Diameter of Solid Shaft for Agitator = (Equivalent Bending Moment*32/pi*1/Bending Stress)^(1/3) to evaluate the Diameter of Solid Shaft for Agitator, The Diameter of Solid Shaft based on Equivalent Bending Moment formula can be calculated with respect to the Bending Moment that alone produce maximum normal stress equal to the maximum normal stress produced due to combined bending and torsion. Diameter of Solid Shaft for Agitator is denoted by d_solidshaft symbol.

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

FAQs on Diameter of Solid Shaft based on Equivalent Bending Moment

What is the formula to find Diameter of Solid Shaft based on Equivalent Bending Moment?

The formula of Diameter of Solid Shaft based on Equivalent Bending Moment is expressed as Diameter of Solid Shaft for Agitator = (Equivalent Bending Moment*32/pi*1/Bending Stress)^(1/3). Here is an example- 6338.406 = (5*32/pi*1/200000000)^(1/3).

How to calculate Diameter of Solid Shaft based on Equivalent Bending Moment?

With Equivalent Bending Moment (M_e) & Bending Stress (f_b) we can find Diameter of Solid Shaft based on Equivalent Bending Moment using the formula - Diameter of Solid Shaft for Agitator = (Equivalent Bending Moment*32/pi*1/Bending Stress)^(1/3). This formula also uses Archimedes' constant .

Can the Diameter of Solid Shaft based on Equivalent Bending Moment be negative?

No, the Diameter of Solid Shaft based on Equivalent Bending Moment, measured in Length cannot be negative.

Which unit is used to measure Diameter of Solid Shaft based on Equivalent Bending Moment?

Diameter of Solid Shaft based on Equivalent Bending Moment is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Diameter of Solid Shaft based on Equivalent Bending Moment can be measured.

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Diameter of Solid Shaft based on Equivalent Bending Moment Formula

Diameter of Solid Shaft based on Equivalent Bending Moment Example

Diameter of Solid Shaft based on Equivalent Bending Moment Solution

Diameter of Solid Shaft based on Equivalent Bending Moment Formula Elements

Other formulas in Design of Agitation System Components category

How to Evaluate Diameter of Solid Shaft based on Equivalent Bending Moment?

FAQs on Diameter of Solid Shaft based on Equivalent Bending Moment

Variable Name