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Diameter of Circular Shape given Section Modulus Formula

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Diameter of circular shaft is denoted by d. Check FAQs

Φ = {(\frac{32 \cdot Z}{π})}^{\frac{1}{3}}

Φ - Diameter of Circular Shaft?Z - Section Modulus?π - Archimedes' constant?

Diameter of Circular Shape given Section Modulus Example

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Here is how the Diameter of Circular Shape given Section Modulus equation looks like with Values.

Here is how the Diameter of Circular Shape given Section Modulus equation looks like with Units.

Here is how the Diameter of Circular Shape given Section Modulus equation looks like.

749.9548 = {(\frac{32 \cdot 0.0414}{3.1416})}^{\frac{1}{3}}

749.9548mm = {(\frac{32 \cdot 0.0414m³}{3.1416})}^{\frac{1}{3}}

749.9548 = {(\frac{32 \cdot 0.0414}{3.1416})}^{\frac{1}{3}}

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Diameter of Circular Shape given Section Modulus Solution

Follow our step by step solution on how to calculate Diameter of Circular Shape given Section Modulus?

FIRST Step Consider the formula

Φ = {(\frac{32 \cdot Z}{π})}^{\frac{1}{3}}

Next Step Substitute values of Variables

∴

Φ = {(\frac{32 \cdot 0.0414m³}{π})}^{\frac{1}{3}}

Next Step Substitute values of Constants

∴

Φ = {(\frac{32 \cdot 0.0414m³}{3.1416})}^{\frac{1}{3}}

Next Step Prepare to Evaluate

∴

Φ = {(\frac{32 \cdot 0.0414}{3.1416})}^{\frac{1}{3}}

Next Step Evaluate

∴

Φ = 0.749954839579949m

Next Step Convert to Output's Unit

∴

Φ = 749.954839579949mm

LAST Step Rounding Answer

∴

Φ = 749.9548mm

Diameter of Circular Shape given Section Modulus Formula Elements

Variables

Constants

Diameter of Circular Shaft

Diameter of circular shaft is denoted by d.

Symbol: Φ

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Diameter of Circular Shaft

Section Modulus

The Section modulus is a geometric property for a given cross-section used in the design of beams or flexural members.

Symbol: Z

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Section Modulus

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

Other formulas in Section Modulus for Various Shapes category

Go Section Modulus of Rectangular Shape

Z = \frac{b \cdot d^{2}}{6}

Go Breadth of Rectangular Shape given Section Modulus

b = \frac{6 \cdot Z}{d^{2}}

Go Depth of Rectangular Shape given Section Modulus

d = \sqrt{\frac{6 \cdot Z}{b}}

Go Section Modulus of Hollow Rectangular Shape

Z = \frac{(B o \cdot {D o}^{3}) - (B i \cdot {D i}^{3})}{6 \cdot D o}

How to Evaluate Diameter of Circular Shape given Section Modulus?

Diameter of Circular Shape given Section Modulus evaluator uses Diameter of Circular Shaft = ((32*Section Modulus)/pi)^(1/3) to evaluate the Diameter of Circular Shaft, The Diameter of Circular Shape given Section Modulus formula is defined as diameter which can result in the specified section modulus. Diameter of Circular Shaft is denoted by Φ symbol.

How to evaluate Diameter of Circular Shape given Section Modulus using this online evaluator? To use this online evaluator for Diameter of Circular Shape given Section Modulus, enter Section Modulus (Z) and hit the calculate button.

FAQs on Diameter of Circular Shape given Section Modulus

What is the formula to find Diameter of Circular Shape given Section Modulus?

The formula of Diameter of Circular Shape given Section Modulus is expressed as Diameter of Circular Shaft = ((32*Section Modulus)/pi)^(1/3). Here is an example- 0.749955 = ((32*0.04141)/pi)^(1/3).

How to calculate Diameter of Circular Shape given Section Modulus?

With Section Modulus (Z) we can find Diameter of Circular Shape given Section Modulus using the formula - Diameter of Circular Shaft = ((32*Section Modulus)/pi)^(1/3). This formula also uses Archimedes' constant .

Can the Diameter of Circular Shape given Section Modulus be negative?

No, the Diameter of Circular Shape given Section Modulus, measured in Length cannot be negative.

Which unit is used to measure Diameter of Circular Shape given Section Modulus?

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

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