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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. Check FAQs
R=rτTr
R - Radius of Shaft?r - Radius from Center to Distance r?τ - Shear Stress in Shaft?Tr - Shear Stress at Radius r?

Radius of Shaft if Shear Stress induced at Radius r from Center of Shaft Example

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Here is how the Radius of Shaft if Shear Stress induced at Radius r from Center of Shaft equation looks like with Values.

Here is how the Radius of Shaft if Shear Stress induced at Radius r from Center of Shaft equation looks like with Units.

Here is how the Radius of Shaft if Shear Stress induced at Radius r from Center of Shaft equation looks like.

109.8Edit=0.122Edit180Edit200Edit
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Radius of Shaft if Shear Stress induced at Radius r from Center of Shaft Solution

Follow our step by step solution on how to calculate Radius of Shaft if Shear Stress induced at Radius r from Center of Shaft?

FIRST Step Consider the formula
R=rτTr
Next Step Substitute values of Variables
R=0.122m180MPa200MPa
Next Step Convert Units
R=0.122m1.8E+8Pa2E+8Pa
Next Step Prepare to Evaluate
R=0.1221.8E+82E+8
Next Step Evaluate
R=0.1098m
LAST Step Convert to Output's Unit
R=109.8mm

Radius of Shaft if Shear Stress induced at Radius r from Center of Shaft Formula Elements

Variables
Radius 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.
Symbol: R
Measurement: LengthUnit: mm
Note: Value should be greater than 0.
Radius from Center to Distance r
The Radius from Center to Distance r of the shaft is a radial line from the focus to any point of a curve.
Symbol: r
Measurement: LengthUnit: m
Note: Value can be positive or negative.
Shear Stress in Shaft
Shear Stress in Shaft is when a shaft is subjected to torque or twisting shearing stress is produced in the shaft.
Symbol: τ
Measurement: StressUnit: MPa
Note: Value can be positive or negative.
Shear Stress at Radius r
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.
Symbol: Tr
Measurement: StressUnit: MPa
Note: Value can be positive or negative.

Other Formulas to find Radius of Shaft

​Go Radius of Shaft using Shear Strain at Outer Surface of Shaft
R=𝜂LshaftθCircularshafts
​Go Radius of Shaft using Shear Stress induced at Surface of Shaft
R=τLshaftGTorsionθTorsion

Other formulas in Deviation of Shear Stress produced in a Circular Shaft subjected to Torsion category

​Go Angle of Twist with known Shear Strain at Outer Surface of Shaft
θCircularshafts=𝜂LshaftR
​Go Angle of Twist with known Shear Stress induced at Radius r from Center of Shaft
θTorsion=LshaftτRGTorsion
​Go Angle of Twist with known Shear Stress in Shaft
θTorsion=τLshaftRGTorsion
​Go Length of Shaft with known Shear Strain at Outer Surface of Shaft
Lshaft=RθCircularshafts𝜂

How to Evaluate Radius of Shaft if Shear Stress induced at Radius r from Center of Shaft?

Radius of Shaft if Shear Stress induced at Radius r from Center of Shaft evaluator uses Radius of Shaft = (Radius from Center to Distance r*Shear Stress in Shaft)/Shear Stress at Radius r to evaluate the Radius of Shaft, The Radius of Shaft if Shear Stress induced at Radius r from Center of Shaft is 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 evaluate Radius of Shaft if Shear Stress induced at Radius r from Center of Shaft using this online evaluator? To use this online evaluator for Radius of Shaft if Shear Stress induced at Radius r from Center of Shaft, enter Radius from Center to Distance r (r), Shear Stress in Shaft (τ) & Shear Stress at Radius r (Tr) and hit the calculate button.

FAQs on Radius of Shaft if Shear Stress induced at Radius r from Center of Shaft

What is the formula to find Radius of Shaft if Shear Stress induced at Radius r from Center of Shaft?
The formula of Radius of Shaft if Shear Stress induced at Radius r from Center of Shaft is expressed as Radius of Shaft = (Radius from Center to Distance r*Shear Stress in Shaft)/Shear Stress at Radius r. Here is an example- 0.1098 = (0.122*180000000)/200000000.
How to calculate Radius of Shaft if Shear Stress induced at Radius r from Center of Shaft?
With Radius from Center to Distance r (r), Shear Stress in Shaft (τ) & Shear Stress at Radius r (Tr) we can find Radius of Shaft if Shear Stress induced at Radius r from Center of Shaft using the formula - Radius of Shaft = (Radius from Center to Distance r*Shear Stress in Shaft)/Shear Stress at Radius r.
What are the other ways to Calculate Radius of Shaft?
Here are the different ways to Calculate Radius of Shaft-
  • Radius of Shaft=(Shear Strain*Length of Shaft)/Angle of Twist for Circular ShaftsOpenImg
  • Radius of Shaft=(Shear Stress in Shaft*Length of Shaft)/(Modulus of Rigidity*Angle of Twist SOM)OpenImg
Can the Radius of Shaft if Shear Stress induced at Radius r from Center of Shaft be negative?
No, the Radius of Shaft if Shear Stress induced at Radius r from Center of Shaft, measured in Length cannot be negative.
Which unit is used to measure Radius of Shaft if Shear Stress induced at Radius r from Center of Shaft?
Radius of Shaft if Shear Stress induced at Radius r from Center of Shaft is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Radius of Shaft if Shear Stress induced at Radius r from Center of Shaft can be measured.
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