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Shaft Diameter given Angle of Twist in Shaft Formula

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Diameter of Shaft From Torsional Rigidity is the diameter of the external surface of a shaft calculated on the basis of torsional rigidity. Check FAQs

d = {(584 \cdot M \cdot \frac{L}{G \cdot θ})}^{\frac{1}{4}}

d - Diameter of Shaft From Torsional Rigidity?M - Torsional Moment in Shaft?L - Length of Shaft From Torsional Rigidity?G - Modulus of Rigidity of Shaft?θ - Angle of Twist in Shaft?

Shaft Diameter given Angle of Twist in Shaft Example

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Here is how the Shaft Diameter given Angle of Twist in Shaft equation looks like with Values.

Here is how the Shaft Diameter given Angle of Twist in Shaft equation looks like with Units.

Here is how the Shaft Diameter given Angle of Twist in Shaft equation looks like.

43.5 = {(584 \cdot 330000 \cdot \frac{450}{90000 \cdot 15.4192})}^{\frac{1}{4}}

43.5mm = {(584 \cdot 330000N*mm \cdot \frac{450mm}{90000N/mm² \cdot 15.4192°})}^{\frac{1}{4}}

43.5 = {(584 \cdot 330000 \cdot \frac{450}{90000 \cdot 15.4192})}^{\frac{1}{4}}

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Shaft Diameter given Angle of Twist in Shaft Solution

Follow our step by step solution on how to calculate Shaft Diameter given Angle of Twist in Shaft?

FIRST Step Consider the formula

d = {(584 \cdot M \cdot \frac{L}{G \cdot θ})}^{\frac{1}{4}}

Next Step Substitute values of Variables

∴

d = {(584 \cdot 330000N*mm \cdot \frac{450mm}{90000N/mm² \cdot 15.4192°})}^{\frac{1}{4}}

Next Step Convert Units

∴

d = {(584 \cdot 330N*m \cdot \frac{0.45m}{9E+10Pa \cdot 0.2691rad})}^{\frac{1}{4}}

Next Step Prepare to Evaluate

∴

d = {(584 \cdot 330 \cdot \frac{0.45}{9E+10 \cdot 0.2691})}^{\frac{1}{4}}

Next Step Evaluate

∴

d = 0.0434999997736597m

Next Step Convert to Output's Unit

∴

d = 43.4999997736597mm

LAST Step Rounding Answer

∴

d = 43.5mm

Shaft Diameter given Angle of Twist in Shaft Formula Elements

Variables

Diameter of Shaft From Torsional Rigidity

Diameter of Shaft From Torsional Rigidity is the diameter of the external surface of a shaft calculated on the basis of torsional rigidity.

Symbol: d

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Diameter of Shaft From Torsional Rigidity

Torsional Moment in Shaft

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

Symbol: M

Measurement: TorqueUnit: N*mm

Note: Value should be greater than 0.

Formulas to find Torsional Moment in Shaft

Length of Shaft From Torsional Rigidity

Length of Shaft From Torsional Rigidity is the length of the shaft calculated on the basis of torsional rigidity.

Symbol: L

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Length of Shaft From Torsional Rigidity

Modulus of Rigidity of Shaft

Modulus of Rigidity of Shaft is the elastic coefficient when a shear force is applied resulting in lateral deformation. It gives us a measure of how rigid is s shaft.

Symbol: G

Measurement: StressUnit: N/mm²

Note: Value should be greater than 0.

Formulas to find Modulus of Rigidity of Shaft

Angle of Twist in Shaft

Angle of Twist in Shaft is the angle through which the fixed end of a shaft rotates with respect to the free end.

Symbol: θ

Measurement: AngleUnit: °

Note: Value should be greater than 0.

Formulas to find Angle of Twist in Shaft

Other formulas in Torsional Rigidity category

Go Angle of Twist of Shaft

θ = 584 \cdot M \cdot \frac{L}{G \cdot d^{4}}

Go Length of Shaft Subjected to Torsional Moment given Angle of Twist

L = θ \cdot \frac{G \cdot d^{4}}{584 \cdot M}

Go Torsional Moment given Angle of Twist in Shaft

M = θ \cdot \frac{G \cdot d^{4}}{L \cdot 584}

Go Modulus of Rigidity given Angle of Twist

G = 584 \cdot M \cdot \frac{L}{θ \cdot d^{4}}

How to Evaluate Shaft Diameter given Angle of Twist in Shaft?

Shaft Diameter given Angle of Twist in Shaft evaluator uses Diameter of Shaft From Torsional Rigidity = (584*Torsional Moment in Shaft*Length of Shaft From Torsional Rigidity/(Modulus of Rigidity of Shaft*Angle of Twist in Shaft))^(1/4) to evaluate the Diameter of Shaft From Torsional Rigidity, Shaft Diameter given Angle of Twist in Shaft formula is defined as a measure of the diameter of a shaft that is subjected to torsional rigidity, which is a critical parameter in mechanical engineering, particularly in the design of shafts and axles in machines and mechanisms. Diameter of Shaft From Torsional Rigidity is denoted by d symbol.

How to evaluate Shaft Diameter given Angle of Twist in Shaft using this online evaluator? To use this online evaluator for Shaft Diameter given Angle of Twist in Shaft, enter Torsional Moment in Shaft (M), Length of Shaft From Torsional Rigidity (L), Modulus of Rigidity of Shaft (G) & Angle of Twist in Shaft (θ) and hit the calculate button.

FAQs on Shaft Diameter given Angle of Twist in Shaft

What is the formula to find Shaft Diameter given Angle of Twist in Shaft?

The formula of Shaft Diameter given Angle of Twist in Shaft is expressed as Diameter of Shaft From Torsional Rigidity = (584*Torsional Moment in Shaft*Length of Shaft From Torsional Rigidity/(Modulus of Rigidity of Shaft*Angle of Twist in Shaft))^(1/4). Here is an example- 43500 = (584*330*0.45/(90000000000*0.269116157089309))^(1/4).

How to calculate Shaft Diameter given Angle of Twist in Shaft?

With Torsional Moment in Shaft (M), Length of Shaft From Torsional Rigidity (L), Modulus of Rigidity of Shaft (G) & Angle of Twist in Shaft (θ) we can find Shaft Diameter given Angle of Twist in Shaft using the formula - Diameter of Shaft From Torsional Rigidity = (584*Torsional Moment in Shaft*Length of Shaft From Torsional Rigidity/(Modulus of Rigidity of Shaft*Angle of Twist in Shaft))^(1/4).

Can the Shaft Diameter given Angle of Twist in Shaft be negative?

No, the Shaft Diameter given Angle of Twist in Shaft, measured in Length cannot be negative.

Which unit is used to measure Shaft Diameter given Angle of Twist in Shaft?

Shaft Diameter given Angle of Twist in Shaft is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Shaft Diameter given Angle of Twist in Shaft can be measured.

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Shaft Diameter given Angle of Twist in Shaft Formula

Shaft Diameter given Angle of Twist in Shaft Example

Shaft Diameter given Angle of Twist in Shaft Solution

Shaft Diameter given Angle of Twist in Shaft Formula Elements

Other formulas in Torsional Rigidity category

How to Evaluate Shaft Diameter given Angle of Twist in Shaft?

FAQs on Shaft Diameter given Angle of Twist in Shaft

Variable Name