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

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

Formula
`"L"_{"shaft"} = ("R"*"θ"_{"Circularshafts"})/"𝜂"`

Example
`"4.525714m"=("110mm"*"72rad")/"1.75"`

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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
Lshaft = (R*θCircularshafts)/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
Lshaft = (R*θCircularshafts)/𝜂 --> (0.11*72)/1.75
Evaluating ... ...
Lshaft = 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 00.021 seconds)
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Home » Physics » Strength of Materials » Torsion of Shafts And Springs » Deviation of Shear Stress produced in a Circular Shaft subjected to Torsion » Length of Shaft with known Shear Strain at Outer Surface of Shaft

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Created by Anshika Arya
National Institute Of Technology (NIT), Hamirpur
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Birsa Institute of Technology (BIT), Sindri
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17 Deviation of Shear Stress produced in a Circular Shaft subjected to Torsion Calculators

Shear Stress induced at Radius 'r' from Center of Shaft using Modulus of Rigidity
Go Shear Stress at Radius r = (Radius from Center to Distance r*Modulus of Rigidity*Angle of Twist for Circular Shafts)/Shear Stress in Shaft
Modulus of Rigidity of material of Shaft using Shear Stress-induced at Surface of Shaft
Go Modulus of Rigidity = (Shear Stress in Shaft*Length of Shaft)/(Radius of Shaft*Angle of Twist SOM)
Modulus of Rigidity of Shaft if Shear Stress-induced at Radius 'r' from Center of Shaft
Go Modulus of Rigidity = (Length of Shaft*Shear Stress in Shaft)/(Radius of Shaft*Angle of Twist SOM)
Angle of Twist with known Shear Stress induced at Radius r from Center of Shaft
Go Angle of Twist SOM = (Length of Shaft*Shear Stress in Shaft)/(Radius of Shaft*Modulus of Rigidity)
Radius of Shaft using Shear Stress induced at Surface of Shaft
Go Radius of Shaft = (Shear Stress in Shaft*Length of Shaft)/(Modulus of Rigidity*Angle of Twist SOM)
Angle of Twist with known Shear Stress in Shaft
Go Angle of Twist SOM = (Shear Stress in Shaft*Length of Shaft)/(Radius of Shaft*Modulus of Rigidity)
Length of Shaft with known Shear Stress induced at Radius r from Center of Shaft
Go Length of Shaft = (Radius of Shaft*Modulus of Rigidity*Angle of Twist SOM)/Shear Stress in Shaft
Length of Shaft with known Shear Stress induced at Surface of Shaft
Go Length of Shaft = (Radius of Shaft*Modulus of Rigidity*Angle of Twist SOM)/Shear Stress in Shaft
Shear Stress induced at Surface of Shaft
Go Shear Stress in Shaft = (Radius of Shaft*Modulus of Rigidity*Angle of Twist SOM)/Length of Shaft
Shear Stress at Surface of Shaft using Shear Stress-induced at Radius 'r' from Center of Shaft
Go Shear Stress at Radius r = (Shear Stress in Shaft*Radius from Center to Distance r)/Radius of Shaft
Value of Radius r using Shear Stress induced at Radius r from Center of Shaft
Go Radius from Center to Distance r = (Shear Stress at Radius r*Radius of Shaft)/Shear Stress in Shaft
Radius of Shaft if Shear Stress induced at Radius r from Center of Shaft
Go Radius of Shaft = (Radius from Center to Distance r*Shear Stress in Shaft)/Shear Stress at Radius r
Shear Stress induced at Radius 'r' from Center of Shaft
Go Shear Stress in Shaft = (Shear Stress at Radius r*Radius from Center to Distance r)/Radius of Shaft
Length of Shaft with known Shear Strain at Outer Surface of Shaft
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
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
Go Radius of Shaft = (Shear Strain*Length of Shaft)/Angle of Twist for Circular Shafts
Shear Strain at Outer Surface of Circular Shaft
Go Shear Strain = (Radius of Shaft*Angle of Twist for Circular Shafts)/Length of Shaft

17 Torsion Equation of Circular Shafts Calculators

Shear Stress induced at Radius 'r' from Center of Shaft using Modulus of Rigidity
Go Shear Stress at Radius r = (Radius from Center to Distance r*Modulus of Rigidity*Angle of Twist for Circular Shafts)/Shear Stress in Shaft
Modulus of Rigidity of material of Shaft using Shear Stress-induced at Surface of Shaft
Go Modulus of Rigidity = (Shear Stress in Shaft*Length of Shaft)/(Radius of Shaft*Angle of Twist SOM)
Modulus of Rigidity of Shaft if Shear Stress-induced at Radius 'r' from Center of Shaft
Go Modulus of Rigidity = (Length of Shaft*Shear Stress in Shaft)/(Radius of Shaft*Angle of Twist SOM)
Angle of Twist with known Shear Stress induced at Radius r from Center of Shaft
Go Angle of Twist SOM = (Length of Shaft*Shear Stress in Shaft)/(Radius of Shaft*Modulus of Rigidity)
Radius of Shaft using Shear Stress induced at Surface of Shaft
Go Radius of Shaft = (Shear Stress in Shaft*Length of Shaft)/(Modulus of Rigidity*Angle of Twist SOM)
Angle of Twist with known Shear Stress in Shaft
Go Angle of Twist SOM = (Shear Stress in Shaft*Length of Shaft)/(Radius of Shaft*Modulus of Rigidity)
Length of Shaft with known Shear Stress induced at Radius r from Center of Shaft
Go Length of Shaft = (Radius of Shaft*Modulus of Rigidity*Angle of Twist SOM)/Shear Stress in Shaft
Length of Shaft with known Shear Stress induced at Surface of Shaft
Go Length of Shaft = (Radius of Shaft*Modulus of Rigidity*Angle of Twist SOM)/Shear Stress in Shaft
Shear Stress induced at Surface of Shaft
Go Shear Stress in Shaft = (Radius of Shaft*Modulus of Rigidity*Angle of Twist SOM)/Length of Shaft
Shear Stress at Surface of Shaft using Shear Stress-induced at Radius 'r' from Center of Shaft
Go Shear Stress at Radius r = (Shear Stress in Shaft*Radius from Center to Distance r)/Radius of Shaft
Value of Radius r using Shear Stress induced at Radius r from Center of Shaft
Go Radius from Center to Distance r = (Shear Stress at Radius r*Radius of Shaft)/Shear Stress in Shaft
Radius of Shaft if Shear Stress induced at Radius r from Center of Shaft
Go Radius of Shaft = (Radius from Center to Distance r*Shear Stress in Shaft)/Shear Stress at Radius r
Shear Stress induced at Radius 'r' from Center of Shaft
Go Shear Stress in Shaft = (Shear Stress at Radius r*Radius from Center to Distance r)/Radius of Shaft
Length of Shaft with known Shear Strain at Outer Surface of Shaft
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
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
Go Radius of Shaft = (Shear Strain*Length of Shaft)/Angle of Twist for Circular Shafts
Shear Strain at Outer Surface of Circular Shaft
Go Shear Strain = (Radius of Shaft*Angle of Twist for Circular Shafts)/Length of Shaft

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

Length of Shaft = (Radius of Shaft*Angle of Twist for Circular Shafts)/Shear Strain
Lshaft = (R*θCircularshafts)/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 Lshaft 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 (θCircularshafts) & 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 Lshaft = (R*θCircularshafts)/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 (θCircularshafts) & 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 4 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
  • Length of Shaft = (Radius of Shaft*Modulus of Rigidity*Angle of Twist SOM)/Shear Stress in Shaft
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