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Radius given Torsional Section Modulus Formula

GoRadius with known Maximum permissible shear stress Formula

GoRadius given Twisting moment and Polar Moment of Inertia of shaft Formula

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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 = \frac{J}{Z p}

R - Radius of Shaft?J - Polar Moment of Inertia?Z_p - Polar Modulus?

Radius given Torsional Section Modulus Example

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Here is how the Radius given Torsional Section Modulus equation looks like with Values.

Here is how the Radius given Torsional Section Modulus equation looks like with Units.

Here is how the Radius given Torsional Section Modulus equation looks like.

911.1111 = \frac{0.0041}{0.0045}

911.1111mm = \frac{0.0041m⁴}{0.0045m³}

911.1111 = \frac{0.0041}{0.0045}

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Radius given Torsional Section Modulus Solution

Follow our step by step solution on how to calculate Radius given Torsional Section Modulus?

FIRST Step Consider the formula

R = \frac{J}{Z p}

Next Step Substitute values of Variables

∴

R = \frac{0.0041m⁴}{0.0045m³}

Next Step Prepare to Evaluate

∴

R = \frac{0.0041}{0.0045}

Next Step Evaluate

∴

R = 0.911111111111111m

Next Step Convert to Output's Unit

∴

R = 911.111111111111mm

LAST Step Rounding Answer

∴

R = 911.1111mm

Radius given Torsional Section Modulus 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.

Formulas to find Radius of Shaft

Polar Moment of Inertia

Polar Moment of Inertia is the moment of inertia of a cross-section with respect to its polar axis, which is an axis at right angles to the plane of the cross-section.

Symbol: J

Measurement: Second Moment of AreaUnit: m⁴

Note: Value should be greater than 0.

Formulas to find Polar Moment of Inertia

Polar Modulus

The Polar Modulus of the shaft section is equal to the ratio of the polar moment of inertia to the radius of the shaft. It is denoted by Zp.

Symbol: Z_p

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Polar Modulus

Other Formulas to find Radius of Shaft

Go Radius with known Maximum permissible shear stress

R = τ max \cdot \frac{J}{T}

Go Radius given Twisting moment and Polar Moment of Inertia of shaft

R = τ max \cdot \frac{J}{T}

Go Radius of Shaft using Polar Modulus

R = \frac{J}{Z p}

Other formulas in Torsion category

Go Twisting Moment given Maximum Permissible Shear Stress

T = \frac{J \cdot τ max}{R}

Go Maximum permissible shear stress

τ max = T \cdot \frac{R}{J}

Go Maximum permissible shear stress for given Radius and modulus of rigidity

τ max = \frac{G Torsion \cdot (θ) \cdot R}{L shaft}

Go Modulus of rigidity given maximum permissible shear stress

G Torsion = \frac{τ max \cdot L shaft}{θ \cdot R}

How to Evaluate Radius given Torsional Section Modulus?

Radius given Torsional Section Modulus evaluator uses Radius of Shaft = Polar Moment of Inertia/Polar Modulus to evaluate the Radius of Shaft, The Radius given Torsional Section Modulus is defined as the radius of the cross-section of the shaft when its undergoing twisting. Radius of Shaft is denoted by R symbol.

How to evaluate Radius given Torsional Section Modulus using this online evaluator? To use this online evaluator for Radius given Torsional Section Modulus, enter Polar Moment of Inertia (J) & Polar Modulus (Z_p) and hit the calculate button.

FAQs on Radius given Torsional Section Modulus

What is the formula to find Radius given Torsional Section Modulus?

The formula of Radius given Torsional Section Modulus is expressed as Radius of Shaft = Polar Moment of Inertia/Polar Modulus. Here is an example- 0.911111 = 0.0041/0.0045.

How to calculate Radius given Torsional Section Modulus?

With Polar Moment of Inertia (J) & Polar Modulus (Z_p) we can find Radius given Torsional Section Modulus using the formula - Radius of Shaft = Polar Moment of Inertia/Polar Modulus.

What are the other ways to Calculate Radius of Shaft?

Here are the different ways to Calculate Radius of Shaft-

Radius of Shaft=Maximum Shear Stress*Polar Moment of Inertia/Torque
Radius of Shaft=Maximum Shear Stress*Polar Moment of Inertia/Torque
Radius of Shaft=Polar Moment of Inertia/Polar Modulus

Can the Radius given Torsional Section Modulus be negative?

No, the Radius given Torsional Section Modulus, measured in Length cannot be negative.

Which unit is used to measure Radius given Torsional Section Modulus?

Radius given Torsional Section Modulus is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Radius given Torsional Section Modulus can be measured.

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Radius given Torsional Section Modulus Formula

​GoRadius with known Maximum permissible shear stress Formula

​GoRadius given Twisting moment and Polar Moment of Inertia of shaft Formula

Radius given Torsional Section Modulus Example

Radius given Torsional Section Modulus Solution

Radius given Torsional Section Modulus Formula Elements

Other Formulas to find Radius of Shaft

Other formulas in Torsion category

How to Evaluate Radius given Torsional Section Modulus?

FAQs on Radius given Torsional Section Modulus

Variable Name

GoRadius with known Maximum permissible shear stress Formula

GoRadius given Twisting moment and Polar Moment of Inertia of shaft Formula