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

✖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 [L_shaft]			+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 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 using Shear Strain at Outer Surface of Shaft [R]

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

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
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.
Length of Shaft - (Measured in Meter) - Length of Shaft is the distance between two ends of shaft.
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.

STEP 1: Convert Input(s) to Base Unit

Shear Strain: 1.75 --> No Conversion Required
Length of Shaft: 4.58 Meter --> 4.58 Meter No Conversion Required
Angle of Twist for Circular Shafts: 72 Radian --> 72 Radian No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R = (𝜂*L_shaft)/θ_{Circularshafts} --> (1.75*4.58)/72

Evaluating ... ...

R = 0.111319444444444

STEP 3: Convert Result to Output's Unit

0.111319444444444 Meter -->111.319444444444 Millimeter (Check conversion here)

FINAL ANSWER

111.319444444444 ≈ 111.3194 Millimeter <-- Radius of Shaft

(Calculation completed in 00.004 seconds)

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National Institute Of Technology (NIT), Hamirpur

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Birsa Institute of Technology (BIT), Sindri

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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

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

LaTeX Go

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

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 Stress?

Shear Stress, force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress.

How to Calculate Radius of Shaft using Shear Strain at Outer Surface of Shaft?

Radius of Shaft using Shear Strain at Outer Surface of Shaft calculator uses Radius of Shaft = (Shear Strain*Length of Shaft)/Angle of Twist for Circular Shafts to calculate the Radius of Shaft, The Radius of Shaft using Shear Strain at Outer 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 calculate Radius of Shaft using Shear Strain at Outer Surface of Shaft using this online calculator? To use this online calculator for Radius of Shaft using Shear Strain at Outer Surface of Shaft, enter Shear Strain (𝜂), Length of Shaft (L_shaft) & Angle of Twist for Circular Shafts (θ_{Circularshafts}) and hit the calculate button. Here is how the Radius of Shaft using Shear Strain at Outer Surface of Shaft calculation can be explained with given input values -> 0.111319 = (1.75*4.58)/72.

FAQ

What is Radius of Shaft using Shear Strain at Outer Surface of Shaft?

The Radius of Shaft using Shear Strain at Outer 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 and is represented as R = (𝜂*L_shaft)/θ_{Circularshafts} or Radius of Shaft = (Shear Strain*Length of Shaft)/Angle of Twist for Circular Shafts. 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, Length of Shaft is the distance between two ends of shaft & Angle of Twist for Circular Shafts is the angular deformation along the length of a circular shaft subjected to torsion, measured in radians.

How to calculate Radius of Shaft using Shear Strain at Outer Surface of Shaft?

The Radius of Shaft using Shear Strain at Outer 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 is calculated using Radius of Shaft = (Shear Strain*Length of Shaft)/Angle of Twist for Circular Shafts. To calculate Radius of Shaft using Shear Strain at Outer Surface of Shaft, you need Shear Strain (𝜂), Length of Shaft (L_shaft) & Angle of Twist for Circular Shafts (θ_{Circularshafts}). With our tool, you need to enter the respective value for Shear Strain, Length of Shaft & Angle of Twist for Circular Shafts 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 Radius of Shaft?

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

Radius of Shaft = (Shear Stress in Shaft*Length of Shaft)/(Modulus of Rigidity*Angle of Twist SOM)
Radius of Shaft = (Radius from Center to Distance r*Shear Stress in Shaft)/Shear Stress at Radius r
Radius of Shaft = (Radius from Center to Distance r*Shear Stress in Shaft)/Shear Stress at Radius r

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