Value of Radius r using Shear Stress induced at Radius r from Center of Shaft Solution

STEP 0: Pre-Calculation Summary
Formula Used
Radius from Center to Distance r = (Shear Stress at Radius r*Radius of Shaft)/Shear Stress in Shaft
r = (Tr*R)/τ
This formula uses 4 Variables
Variables Used
Radius from Center to Distance r - (Measured in Meter) - The Radius from Center to Distance r of the shaft is a radial line from the focus to any point of a curve.
Shear Stress at Radius r - (Measured in Pascal) - Shear Stress at Radius r from shaft is a force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed 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.
Shear Stress in Shaft - (Measured in Pascal) - Shear Stress in Shaft is when a shaft is subjected to torque or twisting shearing stress is produced in the shaft.
STEP 1: Convert Input(s) to Base Unit
Shear Stress at Radius r: 200 Megapascal --> 200000000 Pascal (Check conversion ​here)
Radius of Shaft: 110 Millimeter --> 0.11 Meter (Check conversion ​here)
Shear Stress in Shaft: 180 Megapascal --> 180000000 Pascal (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
r = (Tr*R)/τ --> (200000000*0.11)/180000000
Evaluating ... ...
r = 0.122222222222222
STEP 3: Convert Result to Output's Unit
0.122222222222222 Meter --> No Conversion Required
FINAL ANSWER
0.122222222222222 0.122222 Meter <-- Radius from Center to Distance r
(Calculation completed in 00.004 seconds)

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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

Value of Radius r using Shear Stress induced at Radius r from Center of Shaft Formula

​LaTeX ​Go
Radius from Center to Distance r = (Shear Stress at Radius r*Radius of Shaft)/Shear Stress in Shaft
r = (Tr*R)/τ

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 Value of Radius r using Shear Stress induced at Radius r from Center of Shaft?

Value of Radius r using Shear Stress induced at Radius r from Center of Shaft calculator uses Radius from Center to Distance r = (Shear Stress at Radius r*Radius of Shaft)/Shear Stress in Shaft to calculate the Radius from Center to Distance r, The Value of Radius r using Shear Stress induced at Radius r from Center 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 from Center to Distance r is denoted by r symbol.

How to calculate Value of Radius r using Shear Stress induced at Radius r from Center of Shaft using this online calculator? To use this online calculator for Value of Radius r using Shear Stress induced at Radius r from Center of Shaft, enter Shear Stress at Radius r (Tr), Radius of Shaft (R) & Shear Stress in Shaft (τ) and hit the calculate button. Here is how the Value of Radius r using Shear Stress induced at Radius r from Center of Shaft calculation can be explained with given input values -> 0.122222 = (200000000*0.11)/180000000.

FAQ

What is Value of Radius r using Shear Stress induced at Radius r from Center of Shaft?
The Value of Radius r using Shear Stress induced at Radius r from Center 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 = (Tr*R)/τ or Radius from Center to Distance r = (Shear Stress at Radius r*Radius of Shaft)/Shear Stress in Shaft. Shear Stress at Radius r from shaft is a force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress, The Radius of Shaft is the line segment extending from the center of a circle or sphere to the circumference or bounding surface & Shear Stress in Shaft is when a shaft is subjected to torque or twisting shearing stress is produced in the shaft.
How to calculate Value of Radius r using Shear Stress induced at Radius r from Center of Shaft?
The Value of Radius r using Shear Stress induced at Radius r from Center 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 from Center to Distance r = (Shear Stress at Radius r*Radius of Shaft)/Shear Stress in Shaft. To calculate Value of Radius r using Shear Stress induced at Radius r from Center of Shaft, you need Shear Stress at Radius r (Tr), Radius of Shaft (R) & Shear Stress in Shaft (τ). With our tool, you need to enter the respective value for Shear Stress at Radius r, Radius of Shaft & Shear Stress in 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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