Angle of Twist with known 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%
✖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 with known Shear Strain at Outer Surface of Shaft [θ_{Circularshafts}]

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

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
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.

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
Radius of Shaft: 110 Millimeter --> 0.11 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

θ_{Circularshafts} = (𝜂*L_shaft)/R --> (1.75*4.58)/0.11

Evaluating ... ...

θ_{Circularshafts} = 72.8636363636364

STEP 3: Convert Result to Output's Unit

72.8636363636364 Radian --> No Conversion Required

FINAL ANSWER

72.8636363636364 ≈ 72.86364 Radian <-- Angle of Twist for Circular Shafts

(Calculation completed in 00.020 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

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

LaTeX Go

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

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.

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

Angle of Twist with known Shear Strain at Outer Surface of Shaft calculator uses Angle of Twist for Circular Shafts = (Shear Strain*Length of Shaft)/Radius of Shaft to calculate the Angle of Twist for Circular Shafts, The Angle of twist with known shear strain at outer surface of shaft formula is defined as the angle through which the fixed end of a shaft rotates with respect to the free end is called the angle of twist. Angle of Twist for Circular Shafts is denoted by θ_{Circularshafts} symbol.

How to calculate Angle of Twist with known Shear Strain at Outer Surface of Shaft using this online calculator? To use this online calculator for Angle of Twist with known Shear Strain at Outer Surface of Shaft, enter Shear Strain (𝜂), Length of Shaft (L_shaft) & Radius of Shaft (R) and hit the calculate button. Here is how the Angle of Twist with known Shear Strain at Outer Surface of Shaft calculation can be explained with given input values -> 72.86364 = (1.75*4.58)/0.11.

FAQ

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

The Angle of twist with known shear strain at outer surface of shaft formula is defined as the angle through which the fixed end of a shaft rotates with respect to the free end is called the angle of twist and is represented as θ_{Circularshafts} = (𝜂*L_shaft)/R or Angle of Twist for Circular Shafts = (Shear Strain*Length of Shaft)/Radius of Shaft. 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 & The Radius of Shaft is the line segment extending from the center of a circle or sphere to the circumference or bounding surface.

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

The Angle of twist with known shear strain at outer surface of shaft formula is defined as the angle through which the fixed end of a shaft rotates with respect to the free end is called the angle of twist is calculated using Angle of Twist for Circular Shafts = (Shear Strain*Length of Shaft)/Radius of Shaft. To calculate Angle of Twist with known Shear Strain at Outer Surface of Shaft, you need Shear Strain (𝜂), Length of Shaft (L_shaft) & Radius of Shaft (R). With our tool, you need to enter the respective value for Shear Strain, Length of Shaft & Radius of Shaft and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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