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Modulus of Rigidity of material of Shaft using Shear Stress-induced at Surface of Shaft Formula

GoModulus of Rigidity of Shaft if Shear Stress-induced at Radius 'r' from Center of Shaft Formula

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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. Check FAQs

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

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

Modulus of Rigidity of material of Shaft using Shear Stress-induced at Surface of Shaft Example

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Here is how the Modulus of Rigidity of material of Shaft using Shear Stress-induced at Surface of Shaft equation looks like with Values.

Here is how the Modulus of Rigidity of material of Shaft using Shear Stress-induced at Surface of Shaft equation looks like with Units.

Here is how the Modulus of Rigidity of material of Shaft using Shear Stress-induced at Surface of Shaft equation looks like.

40.0778 = \frac{180 \cdot 4.58}{110 \cdot 0.187}

40.0778GPa = \frac{180MPa \cdot 4.58m}{110mm \cdot 0.187rad}

40.0778 = \frac{180 \cdot 4.58}{110 \cdot 0.187}

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Home » Physics » Mechanical » Strength of Materials » Modulus of Rigidity of material of Shaft using Shear Stress-induced at Surface of Shaft

Modulus of Rigidity of material of Shaft using Shear Stress-induced at Surface of Shaft Solution

Follow our step by step solution on how to calculate Modulus of Rigidity of material of Shaft using Shear Stress-induced at Surface of Shaft?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

G Torsion = \frac{180MPa \cdot 4.58m}{110mm \cdot 0.187rad}

Next Step Convert Units

∴

G Torsion = \frac{1.8E+8Pa \cdot 4.58m}{0.11m \cdot 0.187rad}

Next Step Prepare to Evaluate

∴

G Torsion = \frac{1.8E+8 \cdot 4.58}{0.11 \cdot 0.187}

Next Step Evaluate

∴

G Torsion = 40077783179.3875Pa

Next Step Convert to Output's Unit

∴

G Torsion = 40.0777831793875GPa

LAST Step Rounding Answer

∴

G Torsion = 40.0778GPa

Modulus of Rigidity of material of Shaft using Shear Stress-induced at Surface of Shaft Formula Elements

Variables

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.

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.

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.

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.

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.

Credits

Created by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

Anshika Arya has created this Formula and 2000+ more formulas!

Verified by Payal Priya

Birsa Institute of Technology (BIT), Sindri

Payal Priya has verified this Formula and 1900+ more formulas!

Other Formulas to find Modulus of Rigidity

Go Modulus of Rigidity of Shaft if Shear Stress-induced at Radius 'r' from Center of Shaft

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

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 Modulus of Rigidity of material of Shaft using Shear Stress-induced at Surface of Shaft?

Modulus of Rigidity of material of Shaft using Shear Stress-induced at Surface of Shaft evaluator uses Modulus of Rigidity = (Shear Stress in Shaft*Length of Shaft)/(Radius of Shaft*Angle of Twist SOM) to evaluate the Modulus of Rigidity, Modulus of Rigidity of material of Shaft using Shear Stress-induced at Surface of Shaft is the measure of the rigidity of the body, given by the ratio of shear stress to shear strain. Modulus of Rigidity is denoted by G_Torsion symbol.

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

FAQs on Modulus of Rigidity of material of Shaft using Shear Stress-induced at Surface of Shaft

What is the formula to find Modulus of Rigidity of material of Shaft using Shear Stress-induced at Surface of Shaft?

The formula of Modulus of Rigidity of material of Shaft using Shear Stress-induced at Surface of Shaft is expressed as Modulus of Rigidity = (Shear Stress in Shaft*Length of Shaft)/(Radius of Shaft*Angle of Twist SOM). Here is an example- 4E-8 = (180000000*4.58)/(0.11*0.187).

How to calculate Modulus of Rigidity of material of Shaft using Shear Stress-induced at Surface of Shaft?

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

What are the other ways to Calculate Modulus of Rigidity?

Here are the different ways to Calculate Modulus of Rigidity-

Modulus of Rigidity=(Length of Shaft*Shear Stress in Shaft)/(Radius of Shaft*Angle of Twist SOM)

Can the Modulus of Rigidity of material of Shaft using Shear Stress-induced at Surface of Shaft be negative?

No, the Modulus of Rigidity of material of Shaft using Shear Stress-induced at Surface of Shaft, measured in Pressure cannot be negative.

Which unit is used to measure Modulus of Rigidity of material of Shaft using Shear Stress-induced at Surface of Shaft?

Modulus of Rigidity of material of Shaft using Shear Stress-induced at Surface of Shaft is usually measured using the Gigapascal[GPa] for Pressure. Pascal[GPa], Kilopascal[GPa], Bar[GPa] are the few other units in which Modulus of Rigidity of material of Shaft using Shear Stress-induced at Surface of Shaft can be measured.

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Modulus of Rigidity of material of Shaft using Shear Stress-induced at Surface of Shaft Formula

​GoModulus of Rigidity of Shaft if Shear Stress-induced at Radius 'r' from Center of Shaft Formula

Modulus of Rigidity of material of Shaft using Shear Stress-induced at Surface of Shaft Example

Modulus of Rigidity of material of Shaft using Shear Stress-induced at Surface of Shaft Solution

Modulus of Rigidity of material of Shaft using Shear Stress-induced at Surface of Shaft Formula Elements

Credits

Other Formulas to find Modulus of Rigidity

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

How to Evaluate Modulus of Rigidity of material of Shaft using Shear Stress-induced at Surface of Shaft?

FAQs on Modulus of Rigidity of material of Shaft using Shear Stress-induced at Surface of Shaft

Variable Name

GoModulus of Rigidity of Shaft if Shear Stress-induced at Radius 'r' from Center of Shaft Formula