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Equivalent Twisting Moment for Hollow Shaft Formula

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Equivalent Twisting Moment for Hollow Shaft refers to the measure of the combined effect of torsional loads applied to the shaft's cross-section. Check FAQs

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

Te_hollowshaft - Equivalent Twisting Moment for Hollow Shaft?f_b - Bending Stress?d_o - Hollow Shaft Outer Diameter?k - Ratio of Inner to Outer Diameter of Hollow Shaft?π - Archimedes' constant?

Equivalent Twisting Moment for Hollow Shaft Example

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Here is how the Equivalent Twisting Moment for Hollow Shaft equation looks like with Values.

Here is how the Equivalent Twisting Moment for Hollow Shaft equation looks like with Units.

Here is how the Equivalent Twisting Moment for Hollow Shaft equation looks like.

150166.1653 = (\frac{3.1416}{16}) \cdot (200) \cdot (20^{3}) \cdot (1 - {0.85}^{4})

150166.1653N*mm = (\frac{3.1416}{16}) \cdot (200N/mm²) \cdot ({20mm}^{3}) \cdot (1 - {0.85}^{4})

150166.1653 = (\frac{3.1416}{16}) \cdot (200) \cdot (20^{3}) \cdot (1 - {0.85}^{4})

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Equivalent Twisting Moment for Hollow Shaft Solution

Follow our step by step solution on how to calculate Equivalent Twisting Moment for Hollow Shaft?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

Te hollowshaft = (\frac{π}{16}) \cdot (200N/mm²) \cdot ({20mm}^{3}) \cdot (1 - {0.85}^{4})

Next Step Substitute values of Constants

∴

Te hollowshaft = (\frac{3.1416}{16}) \cdot (200N/mm²) \cdot ({20mm}^{3}) \cdot (1 - {0.85}^{4})

Next Step Convert Units

∴

Te hollowshaft = (\frac{3.1416}{16}) \cdot (2E+8Pa) \cdot ({0.02m}^{3}) \cdot (1 - {0.85}^{4})

Next Step Prepare to Evaluate

∴

Te hollowshaft = (\frac{3.1416}{16}) \cdot (2E+8) \cdot ({0.02}^{3}) \cdot (1 - {0.85}^{4})

Next Step Evaluate

∴

Te hollowshaft = 150.166165346184N*m

Next Step Convert to Output's Unit

∴

Te hollowshaft = 150166.165346184N*mm

LAST Step Rounding Answer

∴

Te hollowshaft = 150166.1653N*mm

Equivalent Twisting Moment for Hollow Shaft Formula Elements

Variables

Constants

Equivalent Twisting Moment for Hollow Shaft

Equivalent Twisting Moment for Hollow Shaft refers to the measure of the combined effect of torsional loads applied to the shaft's cross-section.

Symbol: Te_hollowshaft

Measurement: Moment of ForceUnit: N*mm

Note: Value should be greater than 0.

Formulas to find Equivalent Twisting Moment for Hollow Shaft

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

Hollow Shaft Outer Diameter

Hollow Shaft Outer Diameter is defined as the length of the longest chord of the surface of the hollow circular shaft.

Symbol: d_o

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Hollow Shaft Outer Diameter

Ratio of Inner to Outer Diameter of Hollow Shaft

The Ratio of Inner to Outer Diameter of Hollow Shaft is defined as the inner diameter of the shaft divided by the outer diameter.

Symbol: k

Measurement: NAUnit: Unitless

Note: Value should be less than 1.

Formulas to find Ratio of Inner to Outer Diameter of Hollow 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 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})

Go Diameter of Solid Shaft based on Equivalent Twisting Moment

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

How to Evaluate Equivalent Twisting Moment for Hollow Shaft?

Equivalent Twisting Moment for Hollow Shaft evaluator uses Equivalent Twisting Moment for Hollow Shaft = (pi/16)*(Bending Stress)*(Hollow Shaft Outer Diameter^3)*(1-Ratio of Inner to Outer Diameter of Hollow Shaft^4) to evaluate the Equivalent Twisting Moment for Hollow Shaft, The Equivalent Twisting Moment for Hollow Shaft formula is defined as the twisting moment that alone produces maximum shear stress equal to the maximum shear stress produce due to combined bending and torsion. Equivalent Twisting Moment for Hollow Shaft is denoted by Te_hollowshaft symbol.

How to evaluate Equivalent Twisting Moment for Hollow Shaft using this online evaluator? To use this online evaluator for Equivalent Twisting Moment for Hollow Shaft, enter Bending Stress (f_b), Hollow Shaft Outer Diameter (d_o) & Ratio of Inner to Outer Diameter of Hollow Shaft (k) and hit the calculate button.

FAQs on Equivalent Twisting Moment for Hollow Shaft

What is the formula to find Equivalent Twisting Moment for Hollow Shaft?

The formula of Equivalent Twisting Moment for Hollow Shaft is expressed as Equivalent Twisting Moment for Hollow Shaft = (pi/16)*(Bending Stress)*(Hollow Shaft Outer Diameter^3)*(1-Ratio of Inner to Outer Diameter of Hollow Shaft^4). Here is an example- 1.5E+8 = (pi/16)*(200000000)*(0.02^3)*(1-0.85^4).

How to calculate Equivalent Twisting Moment for Hollow Shaft?

With Bending Stress (f_b), Hollow Shaft Outer Diameter (d_o) & Ratio of Inner to Outer Diameter of Hollow Shaft (k) we can find Equivalent Twisting Moment for Hollow Shaft using the formula - Equivalent Twisting Moment for Hollow Shaft = (pi/16)*(Bending Stress)*(Hollow Shaft Outer Diameter^3)*(1-Ratio of Inner to Outer Diameter of Hollow Shaft^4). This formula also uses Archimedes' constant .

Can the Equivalent Twisting Moment for Hollow Shaft be negative?

No, the Equivalent Twisting Moment for Hollow Shaft, measured in Moment of Force cannot be negative.

Which unit is used to measure Equivalent Twisting Moment for Hollow Shaft?

Equivalent Twisting Moment for Hollow Shaft is usually measured using the Newton Millimeter[N*mm] for Moment of Force. Newton Meter[N*mm], Kilonewton Meter[N*mm], Millinewton Meter[N*mm] are the few other units in which Equivalent Twisting Moment for Hollow Shaft can be measured.

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Equivalent Twisting Moment for Hollow Shaft Formula

Equivalent Twisting Moment for Hollow Shaft Example

Equivalent Twisting Moment for Hollow Shaft Solution

Equivalent Twisting Moment for Hollow Shaft Formula Elements

Other formulas in Design of Agitation System Components category

How to Evaluate Equivalent Twisting Moment for Hollow Shaft?

FAQs on Equivalent Twisting Moment for Hollow Shaft

Variable Name