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Torsional Moment given Torsional Shear Stress in Hollow Shaft Formula

GoTorsional Moment given Angle of Twist on Basis of Torsional Rigidity Formula

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Torsional Moment in Hollow Shaft is the reaction induced in a structural shaft hollow element when an external force or moment is applied to the element, causing the element to twist. Check FAQs

Mt hollowshaft = 𝜏 h \cdot \frac{π \cdot {d o}^{3} \cdot (1 - C^{4})}{16}

Mt_hollowshaft - Torsional Moment in Hollow Shaft?𝜏_h - Torsional Shear Stress in Hollow Shaft?d_o - Outer Diameter of Hollow Shaft?C - Ratio of Inner to Outer Diameter of Hollow Shaft?π - Archimedes' constant?

Torsional Moment given Torsional Shear Stress in Hollow Shaft Example

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Here is how the Torsional Moment given Torsional Shear Stress in Hollow Shaft equation looks like with Values.

Here is how the Torsional Moment given Torsional Shear Stress in Hollow Shaft equation looks like with Units.

Here is how the Torsional Moment given Torsional Shear Stress in Hollow Shaft equation looks like.

320651.0893 = 35.1 \cdot \frac{3.1416 \cdot 46^{3} \cdot (1 - {0.85}^{4})}{16}

320651.0893N*mm = 35.1N/mm² \cdot \frac{3.1416 \cdot {46mm}^{3} \cdot (1 - {0.85}^{4})}{16}

320651.0893 = 35.1 \cdot \frac{3.1416 \cdot 46^{3} \cdot (1 - {0.85}^{4})}{16}

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Torsional Moment given Torsional Shear Stress in Hollow Shaft Solution

Follow our step by step solution on how to calculate Torsional Moment given Torsional Shear Stress in Hollow Shaft?

FIRST Step Consider the formula

Mt hollowshaft = 𝜏 h \cdot \frac{π \cdot {d o}^{3} \cdot (1 - C^{4})}{16}

Next Step Substitute values of Variables

∴

Mt hollowshaft = 35.1N/mm² \cdot \frac{π \cdot {46mm}^{3} \cdot (1 - {0.85}^{4})}{16}

Next Step Substitute values of Constants

∴

Mt hollowshaft = 35.1N/mm² \cdot \frac{3.1416 \cdot {46mm}^{3} \cdot (1 - {0.85}^{4})}{16}

Next Step Convert Units

∴

Mt hollowshaft = 3.5E+7Pa \cdot \frac{3.1416 \cdot {0.046m}^{3} \cdot (1 - {0.85}^{4})}{16}

Next Step Prepare to Evaluate

∴

Mt hollowshaft = 3.5E+7 \cdot \frac{3.1416 \cdot {0.046}^{3} \cdot (1 - {0.85}^{4})}{16}

Next Step Evaluate

∴

Mt hollowshaft = 320.651089276111N*m

Next Step Convert to Output's Unit

∴

Mt hollowshaft = 320651.089276111N*mm

LAST Step Rounding Answer

∴

Mt hollowshaft = 320651.0893N*mm

Torsional Moment given Torsional Shear Stress in Hollow Shaft Formula Elements

Variables

Constants

Torsional Moment in Hollow Shaft

Torsional Moment in Hollow Shaft is the reaction induced in a structural shaft hollow element when an external force or moment is applied to the element, causing the element to twist.

Symbol: Mt_hollowshaft

Measurement: TorqueUnit: N*mm

Note: Value should be greater than 0.

Formulas to find Torsional Moment in Hollow Shaft

Torsional Shear Stress in Hollow Shaft

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

Symbol: 𝜏_h

Measurement: StressUnit: N/mm²

Note: Value should be greater than 0.

Formulas to find Torsional Shear Stress in Hollow Shaft

Outer Diameter of Hollow Shaft

Outer Diameter of Hollow Shaft 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 Outer Diameter of Hollow Shaft

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: C

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 to find Torsional Moment in Hollow Shaft

Go Torsional Moment given Angle of Twist on Basis of Torsional Rigidity

Mt hollowshaft = θ hollow \cdot \frac{G h \cdot {d o}^{4} \cdot (1 - C^{4})}{584 \cdot L h}

Other formulas in Design of Hollow Shaft category

Go Ratio of Inner Diameter to Outer Diameter

C = \frac{d i}{d o}

Go Inner Diameter of Hollow Shaft given Ratio of Diameters

d i = C \cdot d o

Go Outer Diameter given Ratio of Diameters

d o = \frac{d i}{C}

Go Tensile Stress in Hollow Shaft when Subjected to Axial Force

σ tp = \frac{P ax hollow}{\frac{π}{4} \cdot ({d o}^{2} - {d i}^{2})}

How to Evaluate Torsional Moment given Torsional Shear Stress in Hollow Shaft?

Torsional Moment given Torsional Shear Stress in Hollow Shaft evaluator uses Torsional Moment in Hollow Shaft = Torsional Shear Stress in Hollow Shaft*(pi*Outer Diameter of Hollow Shaft^3*(1-Ratio of Inner to Outer Diameter of Hollow Shaft^4))/16 to evaluate the Torsional Moment in Hollow Shaft, Torsional Moment given Torsional Shear Stress in Hollow Shaft formula is defined as the twisting force that causes shear stress in a hollow shaft, which is a critical parameter in the design of hollow shafts to ensure their structural integrity and resistance to torsional loads. Torsional Moment in Hollow Shaft is denoted by Mt_hollowshaft symbol.

How to evaluate Torsional Moment given Torsional Shear Stress in Hollow Shaft using this online evaluator? To use this online evaluator for Torsional Moment given Torsional Shear Stress in Hollow Shaft, enter Torsional Shear Stress in Hollow Shaft (𝜏_h), Outer Diameter of Hollow Shaft (d_o) & Ratio of Inner to Outer Diameter of Hollow Shaft (C) and hit the calculate button.

FAQs on Torsional Moment given Torsional Shear Stress in Hollow Shaft

What is the formula to find Torsional Moment given Torsional Shear Stress in Hollow Shaft?

The formula of Torsional Moment given Torsional Shear Stress in Hollow Shaft is expressed as Torsional Moment in Hollow Shaft = Torsional Shear Stress in Hollow Shaft*(pi*Outer Diameter of Hollow Shaft^3*(1-Ratio of Inner to Outer Diameter of Hollow Shaft^4))/16. Here is an example- 3.2E+8 = 35100000*(pi*0.046^3*(1-0.85^4))/16.

How to calculate Torsional Moment given Torsional Shear Stress in Hollow Shaft?

With Torsional Shear Stress in Hollow Shaft (𝜏_h), Outer Diameter of Hollow Shaft (d_o) & Ratio of Inner to Outer Diameter of Hollow Shaft (C) we can find Torsional Moment given Torsional Shear Stress in Hollow Shaft using the formula - Torsional Moment in Hollow Shaft = Torsional Shear Stress in Hollow Shaft*(pi*Outer Diameter of Hollow Shaft^3*(1-Ratio of Inner to Outer Diameter of Hollow Shaft^4))/16. This formula also uses Archimedes' constant .

What are the other ways to Calculate Torsional Moment in Hollow Shaft?

Here are the different ways to Calculate Torsional Moment in Hollow Shaft-

Torsional Moment in Hollow Shaft=Angle of Twist of Hollow Shaft*(Modulus of Rigidity of Hollow Shaft*Outer Diameter of Hollow Shaft^4*(1-Ratio of Inner to Outer Diameter of Hollow Shaft^4))/(584*Length of Hollow Shaft)

Can the Torsional Moment given Torsional Shear Stress in Hollow Shaft be negative?

No, the Torsional Moment given Torsional Shear Stress in Hollow Shaft, measured in Torque cannot be negative.

Which unit is used to measure Torsional Moment given Torsional Shear Stress in Hollow Shaft?

Torsional Moment given Torsional Shear Stress in Hollow Shaft is usually measured using the Newton Millimeter[N*mm] for Torque. Newton Meter[N*mm], Newton Centimeter[N*mm], Kilonewton Meter[N*mm] are the few other units in which Torsional Moment given Torsional Shear Stress in Hollow Shaft can be measured.

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Torsional Moment given Torsional Shear Stress in Hollow Shaft Formula

​GoTorsional Moment given Angle of Twist on Basis of Torsional Rigidity Formula

Torsional Moment given Torsional Shear Stress in Hollow Shaft Example

Torsional Moment given Torsional Shear Stress in Hollow Shaft Solution

Torsional Moment given Torsional Shear Stress in Hollow Shaft Formula Elements

Other Formulas to find Torsional Moment in Hollow Shaft

Other formulas in Design of Hollow Shaft category

How to Evaluate Torsional Moment given Torsional Shear Stress in Hollow Shaft?

FAQs on Torsional Moment given Torsional Shear Stress in Hollow Shaft

Variable Name

GoTorsional Moment given Angle of Twist on Basis of Torsional Rigidity Formula