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Radius of shaft given shear stress at radius r from center Formula

GoRadius of shaft given shear strain energy in ring of radius r Formula

GoRadius of Shaft given Total Strain Energy Stored in Shaft Formula

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The Radius of Shaft is the radius of the shaft subjected under torsion. Check FAQs

r shaft = (\frac{r center}{q}) \cdot 𝜏

r_shaft - Radius of Shaft?r_center - Radius 'r' from Center Of Shaft?q - Shear stress at radius 'r' from shaft?𝜏 - Shear stress on surface of shaft?

Radius of shaft given shear stress at radius r from center Example

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Here is how the Radius of shaft given shear stress at radius r from center equation looks like with Values.

Here is how the Radius of shaft given shear stress at radius r from center equation looks like with Units.

Here is how the Radius of shaft given shear stress at radius r from center equation looks like.

0.001 = (\frac{1500}{6}) \cdot 4E-6

0.001mm = (\frac{1500mm}{6MPa}) \cdot 4E-6MPa

0.001 = (\frac{1500}{6}) \cdot 4E-6

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Radius of shaft given shear stress at radius r from center Solution

Follow our step by step solution on how to calculate Radius of shaft given shear stress at radius r from center?

FIRST Step Consider the formula

r shaft = (\frac{r center}{q}) \cdot 𝜏

Next Step Substitute values of Variables

∴

r shaft = (\frac{1500mm}{6MPa}) \cdot 4E-6MPa

Next Step Convert Units

∴

r shaft = (\frac{1.5m}{6E+6Pa}) \cdot 4Pa

Next Step Prepare to Evaluate

∴

r shaft = (\frac{1.5}{6E+6}) \cdot 4

Next Step Evaluate

∴

r shaft = 1E-06m

LAST Step Convert to Output's Unit

∴

r shaft = 0.001mm

Radius of shaft given shear stress at radius r from center Formula Elements

Variables

Radius of Shaft

The Radius of Shaft is the radius of the shaft subjected under torsion.

Symbol: r_shaft

Measurement: LengthUnit: mm

Note: Value can be positive or negative.

Formulas to find Radius of Shaft

Radius 'r' from Center Of Shaft

Radius 'r' from Center Of Shaft is a radial line from the focus to any point of a curve.

Symbol: r_center

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Radius 'r' from Center Of Shaft

Shear stress at radius 'r' from 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.

Symbol: q

Measurement: StressUnit: MPa

Note: Value should be greater than 0.

Formulas to find Shear stress at radius 'r' from shaft

Shear stress on surface of shaft

Shear stress on surface of shaft is force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress.

Symbol: 𝜏

Measurement: PressureUnit: MPa

Note: Value should be greater than 0.

Formulas to find Shear stress on surface of shaft

Other Formulas to find Radius of Shaft

Go Radius of shaft given shear strain energy in ring of radius r

r shaft = \sqrt{\frac{2 \cdot π \cdot (𝜏^{2}) \cdot L \cdot ({r center}^{3}) \cdot δx}{2 \cdot G \cdot (U)}}

Go Radius of Shaft given Total Strain Energy Stored in Shaft

r shaft = \sqrt{\frac{(𝜏^{2}) \cdot L \cdot J shaft}{2 \cdot G \cdot (U)}}

Other formulas in Expression for Strain Energy stored in a Body Due to Torsion category

Go Value of radius 'r' given shear stress at radius 'r' from center

r center = \frac{q \cdot r shaft}{𝜏}

Go Shear strain energy

U = (𝜏^{2}) \cdot \frac{V}{2 \cdot G}

Go Modulus of rigidity given shear strain energy

G = (𝜏^{2}) \cdot \frac{V}{2 \cdot U}

Go Volume given shear strain energy

V = \frac{U \cdot 2 \cdot G}{𝜏^{2}}

How to Evaluate Radius of shaft given shear stress at radius r from center?

Radius of shaft given shear stress at radius r from center evaluator uses Radius of Shaft = (Radius 'r' from Center Of Shaft/Shear stress at radius 'r' from shaft)*Shear stress on surface of shaft to evaluate the Radius of Shaft, Radius of shaft given shear stress at radius r from center 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_shaft symbol.

How to evaluate Radius of shaft given shear stress at radius r from center using this online evaluator? To use this online evaluator for Radius of shaft given shear stress at radius r from center, enter Radius 'r' from Center Of Shaft (r_center), Shear stress at radius 'r' from shaft (q) & Shear stress on surface of shaft (𝜏) and hit the calculate button.

FAQs on Radius of shaft given shear stress at radius r from center

What is the formula to find Radius of shaft given shear stress at radius r from center?

The formula of Radius of shaft given shear stress at radius r from center is expressed as Radius of Shaft = (Radius 'r' from Center Of Shaft/Shear stress at radius 'r' from shaft)*Shear stress on surface of shaft. Here is an example- 1 = (1.5/6000000)*4.

How to calculate Radius of shaft given shear stress at radius r from center?

With Radius 'r' from Center Of Shaft (r_center), Shear stress at radius 'r' from shaft (q) & Shear stress on surface of shaft (𝜏) we can find Radius of shaft given shear stress at radius r from center using the formula - Radius of Shaft = (Radius 'r' from Center Of Shaft/Shear stress at radius 'r' from shaft)*Shear stress on surface of shaft.

What are the other ways to Calculate Radius of Shaft?

Here are the different ways to Calculate Radius of Shaft-

Radius of Shaft=sqrt((2*pi*(Shear stress on surface of shaft^2)*Length of Shaft*(Radius 'r' from Center Of Shaft^3)*Length of Small Element)/(2*Modulus of rigidity of Shaft*(Strain Energy in body)))
Radius of Shaft=sqrt(((Shear stress on surface of shaft^2)*Length of Shaft*Polar Moment of Inertia of shaft)/(2*Modulus of rigidity of Shaft*(Strain Energy in body)))

Can the Radius of shaft given shear stress at radius r from center be negative?

Yes, the Radius of shaft given shear stress at radius r from center, measured in Length can be negative.

Which unit is used to measure Radius of shaft given shear stress at radius r from center?

Radius of shaft given shear stress at radius r from center 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 given shear stress at radius r from center can be measured.

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Radius of shaft given shear stress at radius r from center Formula

​GoRadius of shaft given shear strain energy in ring of radius r Formula

​GoRadius of Shaft given Total Strain Energy Stored in Shaft Formula

Radius of shaft given shear stress at radius r from center Example

Radius of shaft given shear stress at radius r from center Solution

Radius of shaft given shear stress at radius r from center Formula Elements

Other Formulas to find Radius of Shaft

Other formulas in Expression for Strain Energy stored in a Body Due to Torsion category

How to Evaluate Radius of shaft given shear stress at radius r from center?

FAQs on Radius of shaft given shear stress at radius r from center

Variable Name

GoRadius of shaft given shear strain energy in ring of radius r Formula

GoRadius of Shaft given Total Strain Energy Stored in Shaft Formula