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

✖The Radius of Shaft is the line segment extending from the center of a circle or sphere to the circumference or bounding surface.ⓘ Radius of Shaft [R]			+10% -10%
✖Angle of Twist for Circular Shafts is the angular deformation along the length of a circular shaft subjected to torsion, measured in radians.ⓘ Angle of Twist for Circular Shafts [θ_{Circularshafts}]			+10% -10%
✖The Shear Strain is the ratio of the change in deformation to its original length perpendicular to the axes of the member due to shear stress.ⓘ Shear Strain [𝜂]			+10% -10%

✖Length of Shaft is the distance between two ends of shaft.ⓘ Length of Shaft with known Shear Strain at Outer Surface of Shaft [L_shaft]

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

STEP 0: Pre-Calculation Summary

Formula Used

Length of Shaft = (Radius of Shaft*Angle of Twist for Circular Shafts)/Shear Strain
L_shaft = (R*θ_{Circularshafts})/𝜂
This formula uses 4 Variables

Variables Used

Length of Shaft - (Measured in Meter) - Length of Shaft is the distance between two ends of shaft.
Radius of Shaft - (Measured in Meter) - The Radius of Shaft is the line segment extending from the center of a circle or sphere to the circumference or bounding surface.
Angle of Twist for Circular Shafts - (Measured in Radian) - Angle of Twist for Circular Shafts is the angular deformation along the length of a circular shaft subjected to torsion, measured in radians.
Shear Strain - The Shear Strain is the ratio of the change in deformation to its original length perpendicular to the axes of the member due to shear stress.

STEP 1: Convert Input(s) to Base Unit

Radius of Shaft: 110 Millimeter --> 0.11 Meter (Check conversion here)
Angle of Twist for Circular Shafts: 72 Radian --> 72 Radian No Conversion Required
Shear Strain: 1.75 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

L_shaft = (R*θ_{Circularshafts})/𝜂 --> (0.11*72)/1.75

Evaluating ... ...

L_shaft = 4.52571428571429

STEP 3: Convert Result to Output's Unit

4.52571428571429 Meter --> No Conversion Required

FINAL ANSWER

4.52571428571429 ≈ 4.525714 Meter <-- Length of Shaft

(Calculation completed in 00.004 seconds)

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National Institute Of Technology (NIT), Hamirpur

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< Deviation of Shear Stress produced in a Circular Shaft subjected to Torsion Calculators

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

LaTeX Go Length of Shaft = (Radius of Shaft*Angle of Twist for Circular Shafts)/Shear Strain

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

LaTeX Go Angle of Twist for Circular Shafts = (Shear Strain*Length of Shaft)/Radius of Shaft

Radius of Shaft using Shear Strain at Outer Surface of Shaft

LaTeX Go Radius of Shaft = (Shear Strain*Length of Shaft)/Angle of Twist for Circular Shafts

Shear Strain at Outer Surface of Circular Shaft

LaTeX Go Shear Strain = (Radius of Shaft*Angle of Twist for Circular Shafts)/Length of Shaft

< Torsion Equation of Circular Shafts Calculators

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

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

Angle of Twist with known Shear Stress in Shaft

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

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

LaTeX Go Length of Shaft = (Radius of Shaft*Angle of Twist for Circular Shafts)/Shear Strain

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

LaTeX Go Angle of Twist for Circular Shafts = (Shear Strain*Length of Shaft)/Radius of Shaft

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

LaTeX Go

Length of Shaft = (Radius of Shaft*Angle of Twist for Circular Shafts)/Shear Strain
L_shaft = (R*θ_{Circularshafts})/𝜂

What is Torsional Force?

A Torsion Force is a load that is applied to material through torque. The torque that is applied creates shear stress. If a torsion force is large enough, it can cause a material to undergo a twisting motion during elastic and plastic deformation.

What is Shear Strain?

Shear Strain is the ratio of displacement to an object's original dimensions due to stress, and is the amount of deformation perpendicular to a given line rather than parallel to it

How to Calculate Length of Shaft with known Shear Strain at Outer Surface of Shaft?

Length of Shaft with known Shear Strain at Outer Surface of Shaft calculator uses Length of Shaft = (Radius of Shaft*Angle of Twist for Circular Shafts)/Shear Strain to calculate the Length of Shaft, Length of Shaft with known Shear Strain at Outer 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 calculate Length of Shaft with known Shear Strain at Outer Surface of Shaft using this online calculator? To use this online calculator for Length of Shaft with known Shear Strain at Outer Surface of Shaft, enter Radius of Shaft (R), Angle of Twist for Circular Shafts (θ_{Circularshafts}) & Shear Strain (𝜂) and hit the calculate button. Here is how the Length of Shaft with known Shear Strain at Outer Surface of Shaft calculation can be explained with given input values -> 4.525714 = (0.11*72)/1.75.

FAQ

What is Length of Shaft with known Shear Strain at Outer Surface of Shaft?

Length of Shaft with known Shear Strain at Outer Surface of Shaft is the measurement or extent of something from end to end and is represented as L_shaft = (R*θ_{Circularshafts})/𝜂 or Length of Shaft = (Radius of Shaft*Angle of Twist for Circular Shafts)/Shear Strain. The Radius of Shaft is the line segment extending from the center of a circle or sphere to the circumference or bounding surface, Angle of Twist for Circular Shafts is the angular deformation along the length of a circular shaft subjected to torsion, measured in radians & The Shear Strain is the ratio of the change in deformation to its original length perpendicular to the axes of the member due to shear stress.

How to calculate Length of Shaft with known Shear Strain at Outer Surface of Shaft?

Length of Shaft with known Shear Strain at Outer Surface of Shaft is the measurement or extent of something from end to end is calculated using Length of Shaft = (Radius of Shaft*Angle of Twist for Circular Shafts)/Shear Strain. To calculate Length of Shaft with known Shear Strain at Outer Surface of Shaft, you need Radius of Shaft (R), Angle of Twist for Circular Shafts (θ_{Circularshafts}) & Shear Strain (𝜂). With our tool, you need to enter the respective value for Radius of Shaft, Angle of Twist for Circular Shafts & Shear Strain and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Length of Shaft?

In this formula, Length of Shaft uses Radius of Shaft, Angle of Twist for Circular Shafts & Shear Strain. We can use 3 other way(s) to calculate the same, which is/are as follows -

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

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