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Radius of Elementary Ring given Shear Stress of Elementary Ring Formula

GoRadius of Elementary Ring given Turning Moment of Elementary Ring Formula

GoRadius of Elementary Ring given Turning Force of Elementary Ring Formula

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The Radius of Elementary Circular Ring is the distance from the center to the edge of a thin circular section, relevant in analyzing torque in hollow shafts. Check FAQs

r = \frac{d outer \cdot q}{2 \cdot 𝜏 max}

r - Radius of Elementary Circular Ring?d_outer - Outer Diameter of Shaft?q - Shear Stress at Elementary Ring?𝜏_max - Maximum Shear Stress?

Radius of Elementary Ring given Shear Stress of Elementary Ring Example

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Here is how the Radius of Elementary Ring given Shear Stress of Elementary Ring equation looks like with Values.

Here is how the Radius of Elementary Ring given Shear Stress of Elementary Ring equation looks like with Units.

Here is how the Radius of Elementary Ring given Shear Stress of Elementary Ring equation looks like.

3978.875 = \frac{4000 \cdot 31.831}{2 \cdot 16}

3978.875mm = \frac{4000mm \cdot 31.831MPa}{2 \cdot 16MPa}

3978.875 = \frac{4000 \cdot 31.831}{2 \cdot 16}

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Radius of Elementary Ring given Shear Stress of Elementary Ring Solution

Follow our step by step solution on how to calculate Radius of Elementary Ring given Shear Stress of Elementary Ring?

FIRST Step Consider the formula

r = \frac{d outer \cdot q}{2 \cdot 𝜏 max}

Next Step Substitute values of Variables

∴

r = \frac{4000mm \cdot 31.831MPa}{2 \cdot 16MPa}

Next Step Convert Units

∴

r = \frac{4m \cdot 3.2E+7Pa}{2 \cdot 1.6E+7Pa}

Next Step Prepare to Evaluate

∴

r = \frac{4 \cdot 3.2E+7}{2 \cdot 1.6E+7}

Next Step Evaluate

∴

r = 3.978875m

LAST Step Convert to Output's Unit

∴

r = 3978.875mm

Radius of Elementary Ring given Shear Stress of Elementary Ring Formula Elements

Variables

Radius of Elementary Circular Ring

The Radius of Elementary Circular Ring is the distance from the center to the edge of a thin circular section, relevant in analyzing torque in hollow shafts.

Symbol: r

Measurement: LengthUnit: mm

Note: Value can be positive or negative.

Formulas to find Radius of Elementary Circular Ring

Outer Diameter of Shaft

Outer Diameter of Shaft is defined as the length of the longest chord of the surface of the hollow circular shaft.

Symbol: d_outer

Measurement: LengthUnit: mm

Note: Value can be positive or negative.

Formulas to find Outer Diameter of Shaft

Shear Stress at Elementary Ring

The Shear Stress at Elementary Ring is the internal stress experienced by a thin ring in a hollow shaft due to the applied torque, affecting its structural integrity.

Symbol: q

Measurement: PressureUnit: MPa

Note: Value should be greater than 0.

Formulas to find Shear Stress at Elementary Ring

Maximum Shear Stress

Maximum Shear Stress that acts coplanar with cross-section of material, arises due to shear forces.

Symbol: 𝜏_max

Measurement: StressUnit: MPa

Note: Value can be positive or negative.

Formulas to find Maximum Shear Stress

Other Formulas to find Radius of Elementary Circular Ring

Go Radius of Elementary Ring given Turning Moment of Elementary Ring

r = {(\frac{T \cdot d outer}{4 \cdot π \cdot 𝜏 max \cdot b r})}^{\frac{1}{3}}

Go Radius of Elementary Ring given Turning Force of Elementary Ring

r = \sqrt{\frac{T f \cdot d outer}{4 \cdot π \cdot 𝜏 max \cdot b r}}

Other formulas in Torque Transmitted by a Hollow Circular Shaft category

Go Maximum Shear Stress at Outer Surface given Diameter of Shaft on Hollow Circular Shaft

𝜏 max = \frac{16 \cdot d outer \cdot T}{π \cdot (({d outer}^{4}) - ({d inner}^{4}))}

Go Total Turning Moment on Hollow Circular Shaft given Diameter of Shaft

T = \frac{π \cdot 𝜏 max \cdot (({d outer}^{4}) - ({d inner}^{4}))}{16 \cdot d outer}

Go Maximum Shear Stress at Outer Surface given Total Turning Moment on Hollow Circular Shaft

𝜏 max = \frac{T \cdot 2 \cdot r h}{π \cdot (({r h}^{4}) - ({r i}^{4}))}

Go Total Turning Moment on Hollow Circular Shaft given Radius of Shaft

T = \frac{π \cdot 𝜏 max \cdot (({r h}^{4}) - ({r i}^{4}))}{2 \cdot r h}

How to Evaluate Radius of Elementary Ring given Shear Stress of Elementary Ring?

Radius of Elementary Ring given Shear Stress of Elementary Ring evaluator uses Radius of Elementary Circular Ring = (Outer Diameter of Shaft*Shear Stress at Elementary Ring)/(2*Maximum Shear Stress) to evaluate the Radius of Elementary Circular Ring, Radius of Elementary Ring given Shear Stress of Elementary Ring formula is defined as a method to determine the radius of an elementary ring in a hollow circular shaft based on the outer diameter and the shear stress experienced by the shaft, which is crucial for torque analysis. Radius of Elementary Circular Ring is denoted by r symbol.

How to evaluate Radius of Elementary Ring given Shear Stress of Elementary Ring using this online evaluator? To use this online evaluator for Radius of Elementary Ring given Shear Stress of Elementary Ring, enter Outer Diameter of Shaft (d_outer), Shear Stress at Elementary Ring (q) & Maximum Shear Stress (𝜏_max) and hit the calculate button.

FAQs on Radius of Elementary Ring given Shear Stress of Elementary Ring

What is the formula to find Radius of Elementary Ring given Shear Stress of Elementary Ring?

The formula of Radius of Elementary Ring given Shear Stress of Elementary Ring is expressed as Radius of Elementary Circular Ring = (Outer Diameter of Shaft*Shear Stress at Elementary Ring)/(2*Maximum Shear Stress). Here is an example- 6.999969 = (0.014*31831000)/(2*111408500).

How to calculate Radius of Elementary Ring given Shear Stress of Elementary Ring?

With Outer Diameter of Shaft (d_outer), Shear Stress at Elementary Ring (q) & Maximum Shear Stress (𝜏_max) we can find Radius of Elementary Ring given Shear Stress of Elementary Ring using the formula - Radius of Elementary Circular Ring = (Outer Diameter of Shaft*Shear Stress at Elementary Ring)/(2*Maximum Shear Stress).

What are the other ways to Calculate Radius of Elementary Circular Ring?

Here are the different ways to Calculate Radius of Elementary Circular Ring-

Radius of Elementary Circular Ring=((Turning Moment*Outer Diameter of Shaft)/(4*pi*Maximum Shear Stress*Thickness of Ring))^(1/3)
Radius of Elementary Circular Ring=sqrt((Turning Force*Outer Diameter of Shaft)/(4*pi*Maximum Shear Stress*Thickness of Ring))

Can the Radius of Elementary Ring given Shear Stress of Elementary Ring be negative?

Yes, the Radius of Elementary Ring given Shear Stress of Elementary Ring, measured in Length can be negative.

Which unit is used to measure Radius of Elementary Ring given Shear Stress of Elementary Ring?

Radius of Elementary Ring given Shear Stress of Elementary Ring is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Radius of Elementary Ring given Shear Stress of Elementary Ring can be measured.

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Radius of Elementary Ring given Shear Stress of Elementary Ring Formula

​GoRadius of Elementary Ring given Turning Moment of Elementary Ring Formula

​GoRadius of Elementary Ring given Turning Force of Elementary Ring Formula

Radius of Elementary Ring given Shear Stress of Elementary Ring Example

Radius of Elementary Ring given Shear Stress of Elementary Ring Solution

Radius of Elementary Ring given Shear Stress of Elementary Ring Formula Elements

Other Formulas to find Radius of Elementary Circular Ring

Other formulas in Torque Transmitted by a Hollow Circular Shaft category

How to Evaluate Radius of Elementary Ring given Shear Stress of Elementary Ring?

FAQs on Radius of Elementary Ring given Shear Stress of Elementary Ring

Variable Name

GoRadius of Elementary Ring given Turning Moment of Elementary Ring Formula

GoRadius of Elementary Ring given Turning Force of Elementary Ring Formula