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

GoValue of radius 'r' given shear strain energy in ring of radius 'r' Formula

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

r center = \frac{q \cdot r shaft}{𝜏}

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

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

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

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

3E+9 = \frac{6 \cdot 2000}{4E-6}

3E+9mm = \frac{6MPa \cdot 2000mm}{4E-6MPa}

3E+9 = \frac{6 \cdot 2000}{4E-6}

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

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

FIRST Step Consider the formula

r center = \frac{q \cdot r shaft}{𝜏}

Next Step Substitute values of Variables

∴

r center = \frac{6MPa \cdot 2000mm}{4E-6MPa}

Next Step Convert Units

∴

r center = \frac{6E+6Pa \cdot 2m}{4Pa}

Next Step Prepare to Evaluate

∴

r center = \frac{6E+6 \cdot 2}{4}

Next Step Evaluate

∴

r center = 3000000m

Next Step Convert to Output's Unit

∴

r center = 3000000000mm

LAST Step Rounding Answer

∴

r center = 3E+9mm

Value of radius 'r' given shear stress at radius 'r' from center Formula Elements

Variables

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

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

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 'r' from Center Of Shaft

Go Value of radius 'r' given shear strain energy in ring of radius 'r'

r center = {(\frac{U \cdot (2 \cdot G \cdot ({r shaft}^{2}))}{2 \cdot π \cdot (𝜏^{2}) \cdot L \cdot U \cdot δx})}^{\frac{1}{3}}

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

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

r shaft = (\frac{r center}{q}) \cdot 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 Value of radius 'r' given shear stress at radius 'r' from center?

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

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

FAQs on Value of radius 'r' given shear stress at radius 'r' from center

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

The formula of Value of radius 'r' given shear stress at radius 'r' from center is expressed as Radius 'r' from Center Of Shaft = (Shear stress at radius 'r' from shaft*Radius of Shaft)/Shear stress on surface of shaft. Here is an example- 3E+12 = (6000000*2)/4.

How to calculate Value of radius 'r' given shear stress at radius 'r' from center?

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

What are the other ways to Calculate Radius 'r' from Center Of Shaft?

Here are the different ways to Calculate Radius 'r' from Center Of Shaft-

Radius 'r' from Center Of Shaft=((Strain Energy in body*(2*Modulus of rigidity of Shaft*(Radius of Shaft^2)))/(2*pi*(Shear stress on surface of shaft^2)*Length of Shaft*Strain Energy in body*Length of Small Element))^(1/3)

Can the Value of radius 'r' given shear stress at radius 'r' from center be negative?

No, the Value of radius 'r' given shear stress at radius 'r' from center, measured in Length cannot be negative.

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

Value of radius 'r' 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 Value of radius 'r' given shear stress at radius 'r' from center can be measured.

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

​GoValue of radius 'r' given shear strain energy in ring of radius 'r' Formula

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

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

Value of radius 'r' given shear stress at radius 'r' from center Formula Elements

Other Formulas to find Radius 'r' from Center Of Shaft

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

How to Evaluate Value of radius 'r' given shear stress at radius 'r' from center?

FAQs on Value of radius 'r' given shear stress at radius 'r' from center

Variable Name

GoValue of radius 'r' given shear strain energy in ring of radius 'r' Formula