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Outer Radius of Shaft given Shear Stress of Elementary Ring Formula

GoOuter Radius of Shaft using Turning Force on Elementary Ring given Turning Moment Formula

GoOuter Radius of Shaft using Turning Force on Elementary Ring Formula

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Outer Radius Of shaft of any figure is the radius of a larger circle of the two concentric circles that form its boundary. Check FAQs

r outer = \frac{𝜏 max \cdot r}{q}

r_outer - Outer Radius Of shaft?𝜏_max - Maximum Shear Stress?r - Radius of elementary circular ring?q - Shear stress at elementary ring?

Outer Radius of Shaft given Shear Stress of Elementary Ring Example

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

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

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

5.3333 = \frac{16 \cdot 2}{6}

5.3333mm = \frac{16MPa \cdot 2mm}{6MPa}

5.3333 = \frac{16 \cdot 2}{6}

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Outer Radius of Shaft given Shear Stress of Elementary Ring Solution

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

FIRST Step Consider the formula

r outer = \frac{𝜏 max \cdot r}{q}

Next Step Substitute values of Variables

∴

r outer = \frac{16MPa \cdot 2mm}{6MPa}

Next Step Convert Units

∴

r outer = \frac{1.6E+7Pa \cdot 0.002m}{6E+6Pa}

Next Step Prepare to Evaluate

∴

r outer = \frac{1.6E+7 \cdot 0.002}{6E+6}

Next Step Evaluate

∴

r outer = 0.00533333333333333m

Next Step Convert to Output's Unit

∴

r outer = 5.33333333333333mm

LAST Step Rounding Answer

∴

r outer = 5.3333mm

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

Variables

Outer Radius Of shaft

Outer Radius Of shaft of any figure is the radius of a larger circle of the two concentric circles that form its boundary.

Symbol: r_outer

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Outer Radius Of shaft

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

Radius of elementary circular ring

Radius of elementary circular ring is defined as any of the line segments from its center to its perimeter.

Symbol: r

Measurement: LengthUnit: mm

Note: Value can be positive or negative.

Formulas to find Radius of elementary circular ring

Shear stress at elementary ring

Shear stress at elementary ring is defined as force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress.

Symbol: q

Measurement: PressureUnit: MPa

Note: Value should be greater than 0.

Formulas to find Shear stress at elementary ring

Other Formulas to find Outer Radius Of shaft

Go Outer Radius of Shaft using Turning Force on Elementary Ring given Turning Moment

r outer = \frac{2 \cdot π \cdot 𝜏 max \cdot (r^{2}) \cdot b ring}{T}

Go Outer Radius of Shaft using Turning Force on Elementary Ring

r outer = \frac{2 \cdot π \cdot 𝜏 max \cdot (r^{2}) \cdot b ring}{T force}

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 hollow}{π \cdot (({r hollow}^{4}) - ({r inner}^{4}))}

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

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

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

Outer Radius of Shaft given Shear Stress of Elementary Ring evaluator uses Outer Radius Of shaft = (Maximum Shear Stress*Radius of elementary circular ring)/Shear stress at elementary ring to evaluate the Outer Radius Of shaft, The Outer radius of shaft given shear stress of elementary ring formula is defined as any of the line segments from its center to its perimeter, and in more modern usage, it is also their length. Outer Radius Of shaft is denoted by r_outer symbol.

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

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

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

The formula of Outer Radius of Shaft given Shear Stress of Elementary Ring is expressed as Outer Radius Of shaft = (Maximum Shear Stress*Radius of elementary circular ring)/Shear stress at elementary ring. Here is an example- 5333.333 = (16000000*0.002)/6000000.

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

With Maximum Shear Stress (𝜏_max), Radius of elementary circular ring (r) & Shear stress at elementary ring (q) we can find Outer Radius of Shaft given Shear Stress of Elementary Ring using the formula - Outer Radius Of shaft = (Maximum Shear Stress*Radius of elementary circular ring)/Shear stress at elementary ring.

What are the other ways to Calculate Outer Radius Of shaft?

Here are the different ways to Calculate Outer Radius Of shaft-

Outer Radius Of shaft=(2*pi*Maximum Shear Stress*(Radius of elementary circular ring^2)*Thickness of ring)/Turning moment
Outer Radius Of shaft=(2*pi*Maximum Shear Stress*(Radius of elementary circular ring^2)*Thickness of ring)/Turning force

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

No, the Outer Radius of Shaft given Shear Stress of Elementary Ring, measured in Length cannot be negative.

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

Outer Radius of Shaft 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 Outer Radius of Shaft given Shear Stress of Elementary Ring can be measured.

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