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Diameter of Solid Shaft based on Equivalent Twisting Moment Formula

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

Diameter solidshaft = {(T e \cdot \frac{16}{π} \cdot \frac{1}{f s})}^{\frac{1}{3}}

Diameter_solidshaft - Diameter of Solid Shaft?T_e - Equivalent Twisting Moment?f_s - Torsional Shear Stress in Shaft?π - Archimedes' constant?

Diameter of Solid Shaft based on Equivalent Twisting Moment Example

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

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

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

21.5501 = {(900000 \cdot \frac{16}{3.1416} \cdot \frac{1}{458})}^{\frac{1}{3}}

21.5501mm = {(900000N*mm \cdot \frac{16}{3.1416} \cdot \frac{1}{458N/mm²})}^{\frac{1}{3}}

21.5501 = {(900000 \cdot \frac{16}{3.1416} \cdot \frac{1}{458})}^{\frac{1}{3}}

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Diameter of Solid Shaft based on Equivalent Twisting Moment Solution

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

FIRST Step Consider the formula

Diameter solidshaft = {(T e \cdot \frac{16}{π} \cdot \frac{1}{f s})}^{\frac{1}{3}}

Next Step Substitute values of Variables

∴

Diameter solidshaft = {(900000N*mm \cdot \frac{16}{π} \cdot \frac{1}{458N/mm²})}^{\frac{1}{3}}

Next Step Substitute values of Constants

∴

Diameter solidshaft = {(900000N*mm \cdot \frac{16}{3.1416} \cdot \frac{1}{458N/mm²})}^{\frac{1}{3}}

Next Step Convert Units

∴

Diameter solidshaft = {(900N*m \cdot \frac{16}{3.1416} \cdot \frac{1}{4.6E+8Pa})}^{\frac{1}{3}}

Next Step Prepare to Evaluate

∴

Diameter solidshaft = {(900 \cdot \frac{16}{3.1416} \cdot \frac{1}{4.6E+8})}^{\frac{1}{3}}

Next Step Evaluate

∴

Diameter solidshaft = 0.0215500879596176m

Next Step Convert to Output's Unit

∴

Diameter solidshaft = 21.5500879596176mm

LAST Step Rounding Answer

∴

Diameter solidshaft = 21.5501mm

Diameter of Solid Shaft based on Equivalent Twisting Moment Formula Elements

Variables

Constants

Diameter of Solid Shaft

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

Symbol: Diameter_solidshaft

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Diameter of Solid Shaft

Equivalent Twisting Moment

Equivalent Twisting Moment that alone produces maximum shear stress equal to the maximum shear stress produce due to combined bending and torsion.

Symbol: T_e

Measurement: Moment of ForceUnit: N*mm

Note: Value should be greater than 0.

Formulas to find Equivalent Twisting Moment

Torsional Shear Stress in Shaft

Torsional Shear Stress in Shaft is the shear stress produced in the shaft due to the twisting.

Symbol: f_s

Measurement: StressUnit: N/mm²

Note: Value should be greater than 0.

Formulas to find Torsional Shear Stress in 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 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 Twisting Moment?

Diameter of Solid Shaft based on Equivalent Twisting Moment evaluator uses Diameter of Solid Shaft = (Equivalent Twisting Moment*16/pi*1/Torsional Shear Stress in Shaft)^(1/3) to evaluate the Diameter of Solid Shaft, The Diameter of Solid Shaft based on Equivalent Twisting Moment formula is defined with respect to the twisting moment that alone produce produce maximum shear stress equal to the maximum shear stress produce due to combined bending and torsion. Diameter of Solid Shaft is denoted by Diameter_solidshaft symbol.

How to evaluate Diameter of Solid Shaft based on Equivalent Twisting Moment using this online evaluator? To use this online evaluator for Diameter of Solid Shaft based on Equivalent Twisting Moment, enter Equivalent Twisting Moment (T_e) & Torsional Shear Stress in Shaft (f_s) and hit the calculate button.

FAQs on Diameter of Solid Shaft based on Equivalent Twisting Moment

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

The formula of Diameter of Solid Shaft based on Equivalent Twisting Moment is expressed as Diameter of Solid Shaft = (Equivalent Twisting Moment*16/pi*1/Torsional Shear Stress in Shaft)^(1/3). Here is an example- 21550.09 = (900*16/pi*1/458000000)^(1/3).

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

With Equivalent Twisting Moment (T_e) & Torsional Shear Stress in Shaft (f_s) we can find Diameter of Solid Shaft based on Equivalent Twisting Moment using the formula - Diameter of Solid Shaft = (Equivalent Twisting Moment*16/pi*1/Torsional Shear Stress in Shaft)^(1/3). This formula also uses Archimedes' constant .

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

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

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

Diameter of Solid Shaft based on Equivalent Twisting 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 Twisting Moment can be measured.

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Diameter of Solid Shaft based on Equivalent Twisting Moment Formula

Diameter of Solid Shaft based on Equivalent Twisting Moment Example

Diameter of Solid Shaft based on Equivalent Twisting Moment Solution

Diameter of Solid Shaft based on Equivalent Twisting Moment Formula Elements

Other formulas in Design of Agitation System Components category

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

FAQs on Diameter of Solid Shaft based on Equivalent Twisting Moment

Variable Name