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Radius of Shaft using Shear Stress induced at Surface of Shaft Formula

GoRadius of Shaft using Shear Strain at Outer Surface of Shaft Formula

GoRadius of Shaft if Shear Stress induced at Radius r from Center of Shaft Formula

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The Radius of Shaft is the line segment extending from the center of a circle or sphere to the circumference or bounding surface. Check FAQs

R = \frac{τ \cdot L shaft}{G Torsion \cdot θ Torsion}

R - Radius of Shaft?τ - Shear Stress in Shaft?L_shaft - Length of Shaft?G_Torsion - Modulus of Rigidity?θ_Torsion - Angle of Twist SOM?

Radius of Shaft using Shear Stress induced at Surface of Shaft Example

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Here is how the Radius of Shaft using Shear Stress induced at Surface of Shaft equation looks like with Values.

Here is how the Radius of Shaft using Shear Stress induced at Surface of Shaft equation looks like with Units.

Here is how the Radius of Shaft using Shear Stress induced at Surface of Shaft equation looks like.

110.2139 = \frac{180 \cdot 4.58}{40 \cdot 0.187}

110.2139mm = \frac{180MPa \cdot 4.58m}{40GPa \cdot 0.187rad}

110.2139 = \frac{180 \cdot 4.58}{40 \cdot 0.187}

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Radius of Shaft using Shear Stress induced at Surface of Shaft Solution

Follow our step by step solution on how to calculate Radius of Shaft using Shear Stress induced at Surface of Shaft?

FIRST Step Consider the formula

R = \frac{τ \cdot L shaft}{G Torsion \cdot θ Torsion}

Next Step Substitute values of Variables

∴

R = \frac{180MPa \cdot 4.58m}{40GPa \cdot 0.187rad}

Next Step Convert Units

∴

R = \frac{1.8E+8Pa \cdot 4.58m}{4E+10Pa \cdot 0.187rad}

Next Step Prepare to Evaluate

∴

R = \frac{1.8E+8 \cdot 4.58}{4E+10 \cdot 0.187}

Next Step Evaluate

∴

R = 0.110213903743316m

Next Step Convert to Output's Unit

∴

R = 110.213903743316mm

LAST Step Rounding Answer

∴

R = 110.2139mm

Radius of Shaft using Shear Stress induced at Surface of Shaft Formula Elements

Variables

Radius of Shaft

The Radius of Shaft is the line segment extending from the center of a circle or sphere to the circumference or bounding surface.

Symbol: R

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Radius of Shaft

Shear Stress in Shaft

Shear Stress in Shaft is when a shaft is subjected to torque or twisting shearing stress is produced in the shaft.

Symbol: τ

Measurement: StressUnit: MPa

Note: Value can be positive or negative.

Formulas to find Shear Stress in Shaft

Length of Shaft

Length of Shaft is the distance between two ends of shaft.

Symbol: L_shaft

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Length of Shaft

Modulus of Rigidity

Modulus of Rigidity is the measure of the rigidity of the body, given by the ratio of shear stress to shear strain. It is often denoted by G.

Symbol: G_Torsion

Measurement: PressureUnit: GPa

Note: Value should be greater than 0.

Formulas to find Modulus of Rigidity

Angle of Twist SOM

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

Symbol: θ_Torsion

Measurement: AngleUnit: rad

Note: Value can be positive or negative.

Formulas to find Angle of Twist SOM

Other Formulas to find Radius of Shaft

Go Radius of Shaft using Shear Strain at Outer Surface of Shaft

R = \frac{𝜂 \cdot L shaft}{θ Circularshafts}

Go Radius of Shaft if Shear Stress induced at Radius r from Center of Shaft

R = \frac{r \cdot τ}{T r}

Other formulas in Deviation of Shear Stress produced in a Circular Shaft subjected to Torsion category

Go Angle of Twist with known Shear Strain at Outer Surface of Shaft

θ Circularshafts = \frac{𝜂 \cdot L shaft}{R}

Go Angle of Twist with known Shear Stress induced at Radius r from Center of Shaft

θ Torsion = \frac{L shaft \cdot τ}{R \cdot G Torsion}

Go Angle of Twist with known Shear Stress in Shaft

θ Torsion = \frac{τ \cdot L shaft}{R \cdot G Torsion}

Go Length of Shaft with known Shear Strain at Outer Surface of Shaft

L shaft = \frac{R \cdot θ Circularshafts}{𝜂}

How to Evaluate Radius of Shaft using Shear Stress induced at Surface of Shaft?

Radius of Shaft using Shear Stress induced at Surface of Shaft evaluator uses Radius of Shaft = (Shear Stress in Shaft*Length of Shaft)/(Modulus of Rigidity*Angle of Twist SOM) to evaluate the Radius of Shaft, The Radius of Shaft using Shear Stress induced at Surface of Shaft formula is defined as a line segment extending from the center of a circle or sphere to the circumference or bounding surface. Radius of Shaft is denoted by R symbol.

How to evaluate Radius of Shaft using Shear Stress induced at Surface of Shaft using this online evaluator? To use this online evaluator for Radius of Shaft using Shear Stress induced at Surface of Shaft, enter Shear Stress in Shaft (τ), Length of Shaft (L_shaft), Modulus of Rigidity (G_Torsion) & Angle of Twist SOM (θ_Torsion) and hit the calculate button.

FAQs on Radius of Shaft using Shear Stress induced at Surface of Shaft

What is the formula to find Radius of Shaft using Shear Stress induced at Surface of Shaft?

The formula of Radius of Shaft using Shear Stress induced at Surface of Shaft is expressed as Radius of Shaft = (Shear Stress in Shaft*Length of Shaft)/(Modulus of Rigidity*Angle of Twist SOM). Here is an example- 0.110214 = (180000000*4.58)/(40000000000*0.187).

How to calculate Radius of Shaft using Shear Stress induced at Surface of Shaft?

With Shear Stress in Shaft (τ), Length of Shaft (L_shaft), Modulus of Rigidity (G_Torsion) & Angle of Twist SOM (θ_Torsion) we can find Radius of Shaft using Shear Stress induced at Surface of Shaft using the formula - Radius of Shaft = (Shear Stress in Shaft*Length of Shaft)/(Modulus of Rigidity*Angle of Twist SOM).

What are the other ways to Calculate Radius of Shaft?

Here are the different ways to Calculate Radius of Shaft-

Radius of Shaft=(Shear Strain*Length of Shaft)/Angle of Twist for Circular Shafts
Radius of Shaft=(Radius from Center to Distance r*Shear Stress in Shaft)/Shear Stress at Radius r

Can the Radius of Shaft using Shear Stress induced at Surface of Shaft be negative?

No, the Radius of Shaft using Shear Stress induced at Surface of Shaft, measured in Length cannot be negative.

Which unit is used to measure Radius of Shaft using Shear Stress induced at Surface of Shaft?

Radius of Shaft using Shear Stress induced at Surface of Shaft is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Radius of Shaft using Shear Stress induced at Surface of Shaft can be measured.

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Radius of Shaft using Shear Stress induced at Surface of Shaft Formula

​GoRadius of Shaft using Shear Strain at Outer Surface of Shaft Formula

​GoRadius of Shaft if Shear Stress induced at Radius r from Center of Shaft Formula

Radius of Shaft using Shear Stress induced at Surface of Shaft Example

Radius of Shaft using Shear Stress induced at Surface of Shaft Solution

Radius of Shaft using Shear Stress induced at Surface of Shaft Formula Elements

Other Formulas to find Radius of Shaft

Other formulas in Deviation of Shear Stress produced in a Circular Shaft subjected to Torsion category

How to Evaluate Radius of Shaft using Shear Stress induced at Surface of Shaft?

FAQs on Radius of Shaft using Shear Stress induced at Surface of Shaft

Variable Name

GoRadius of Shaft using Shear Strain at Outer Surface of Shaft Formula

GoRadius of Shaft if Shear Stress induced at Radius r from Center of Shaft Formula