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Length of Shaft with known Shear Stress induced at Surface of Shaft Formula

GoLength of Shaft with known Shear Strain at Outer Surface of Shaft Formula

GoLength of Shaft with known Shear Stress induced at Radius r from Center of Shaft Formula

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

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

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

Length of Shaft with known Shear Stress induced at Surface of Shaft Example

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

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

Here is how the Length of Shaft with known Shear Stress induced at Surface of Shaft equation looks like.

4.5711 = \frac{110 \cdot 40 \cdot 0.187}{180}

4.5711m = \frac{110mm \cdot 40GPa \cdot 0.187rad}{180MPa}

4.5711 = \frac{110 \cdot 40 \cdot 0.187}{180}

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Length of Shaft with known Shear Stress induced at Surface of Shaft Solution

Follow our step by step solution on how to calculate Length of Shaft with known Shear Stress induced at Surface of Shaft?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

L shaft = \frac{110mm \cdot 40GPa \cdot 0.187rad}{180MPa}

Next Step Convert Units

∴

L shaft = \frac{0.11m \cdot 4E+10Pa \cdot 0.187rad}{1.8E+8Pa}

Next Step Prepare to Evaluate

∴

L shaft = \frac{0.11 \cdot 4E+10 \cdot 0.187}{1.8E+8}

Next Step Evaluate

∴

L shaft = 4.57111111111111m

LAST Step Rounding Answer

∴

L shaft = 4.5711m

Length of Shaft with known Shear Stress induced at Surface of Shaft Formula Elements

Variables

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

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

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

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

Other Formulas to find Length of Shaft

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

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

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

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

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

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

How to Evaluate Length of Shaft with known Shear Stress induced at Surface of Shaft?

Length of Shaft with known Shear Stress induced at Surface of Shaft evaluator uses Length of Shaft = (Radius of Shaft*Modulus of Rigidity*Angle of Twist SOM)/Shear Stress in Shaft to evaluate the Length of Shaft, The Length of Shaft with known Shear Stress induced at Surface of Shaft is the measurement or extent of something from end to end. Length of Shaft is denoted by L_shaft symbol.

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

FAQs on Length of Shaft with known Shear Stress induced at Surface of Shaft

What is the formula to find Length of Shaft with known Shear Stress induced at Surface of Shaft?

The formula of Length of Shaft with known Shear Stress induced at Surface of Shaft is expressed as Length of Shaft = (Radius of Shaft*Modulus of Rigidity*Angle of Twist SOM)/Shear Stress in Shaft. Here is an example- 4.571111 = (0.11*40000000000*0.187)/180000000.

How to calculate Length of Shaft with known Shear Stress induced at Surface of Shaft?

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

What are the other ways to Calculate Length of Shaft?

Here are the different ways to Calculate Length of Shaft-

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

Can the Length of Shaft with known Shear Stress induced at Surface of Shaft be negative?

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

Which unit is used to measure Length of Shaft with known Shear Stress induced at Surface of Shaft?

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

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Length of Shaft with known Shear Stress induced at Surface of Shaft Formula

​GoLength of Shaft with known Shear Strain at Outer Surface of Shaft Formula

​GoLength of Shaft with known Shear Stress induced at Radius r from Center of Shaft Formula

Length of Shaft with known Shear Stress induced at Surface of Shaft Example

Length of Shaft with known Shear Stress induced at Surface of Shaft Solution

Length of Shaft with known Shear Stress induced at Surface of Shaft Formula Elements

Other Formulas to find Length of Shaft

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

How to Evaluate Length of Shaft with known Shear Stress induced at Surface of Shaft?

FAQs on Length of Shaft with known Shear Stress induced at Surface of Shaft

Variable Name

GoLength of Shaft with known Shear Strain at Outer Surface of Shaft Formula

GoLength of Shaft with known Shear Stress induced at Radius r from Center of Shaft Formula