Shear Strain at Outer Surface of Circular 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%
✖Length of Shaft is the distance between two ends of shaft.ⓘ Length of Shaft [L_shaft]			+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 at Outer Surface of Circular Shaft [𝜂]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Torsion of Shafts And Springs Formula PDF PDF Image

Shear Strain at Outer Surface of Circular Shaft Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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

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
Length of Shaft: 4.58 Meter --> 4.58 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

𝜂 = (R*θ_{Circularshafts})/L_shaft --> (0.11*72)/4.58

Evaluating ... ...

𝜂 = 1.7292576419214

STEP 3: Convert Result to Output's Unit

1.7292576419214 --> No Conversion Required

FINAL ANSWER

1.7292576419214 ≈ 1.729258 <-- Shear Strain

(Calculation completed in 00.004 seconds)

You are here -

Home » Physics » Strength of Materials » Torsion of Shafts And Springs » Mechanical » Deviation of Shear Stress produced in a Circular Shaft subjected to Torsion » Shear Strain at Outer Surface of Circular Shaft

Credits

Created by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

Anshika Arya has created this Calculator and 2000+ more calculators!

Verified by Payal Priya

Birsa Institute of Technology (BIT), Sindri

Payal Priya has verified this Calculator and 1900+ more calculators!

< 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

Shear Strain at Outer Surface of Circular Shaft Formula

LaTeX Go

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

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 occurs when a sideways force is exerted on a medium. A shear force wave may be generated that travels perpendicularly to the direction of the applied force. Particle motion of a shear wave is perpendicular to the direction of propagation.

How to Calculate Shear Strain at Outer Surface of Circular Shaft?

Shear Strain at Outer Surface of Circular Shaft calculator uses Shear Strain = (Radius of Shaft*Angle of Twist for Circular Shafts)/Length of Shaft to calculate the Shear Strain, The Shear Strain at Outer Surface of Circular Shaft formula is defined as a function of the beam curvature and the distance from the neutral axis. Shear Strain is denoted by 𝜂 symbol.

How to calculate Shear Strain at Outer Surface of Circular Shaft using this online calculator? To use this online calculator for Shear Strain at Outer Surface of Circular Shaft, enter Radius of Shaft (R), Angle of Twist for Circular Shafts (θ_{Circularshafts}) & Length of Shaft (L_shaft) and hit the calculate button. Here is how the Shear Strain at Outer Surface of Circular Shaft calculation can be explained with given input values -> 1.729258 = (0.11*72)/4.58.

FAQ

What is Shear Strain at Outer Surface of Circular Shaft?

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

How to calculate Shear Strain at Outer Surface of Circular Shaft?

The Shear Strain at Outer Surface of Circular Shaft formula is defined as a function of the beam curvature and the distance from the neutral axis is calculated using Shear Strain = (Radius of Shaft*Angle of Twist for Circular Shafts)/Length of Shaft. To calculate Shear Strain at Outer Surface of Circular Shaft, you need Radius of Shaft (R), Angle of Twist for Circular Shafts (θ_{Circularshafts}) & Length of Shaft (L_shaft). With our tool, you need to enter the respective value for Radius of Shaft, Angle of Twist for Circular Shafts & Length of Shaft and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

Home

FREE PDFs

🔍 Search