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Diameter of Circular Section given Section Modulus Formula

GoDiameter of Circular Section given Distance of Outermost Layer from Neutral Layer Formula

GoDiameter of Circular Section given Moment of Inertia about Neutral Axis Formula

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Diameter of Circular Section is the diameter of the circular cross-section of the beam. Check FAQs

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

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

Diameter of Circular Section given Section Modulus Example

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

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

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

63.3841 = {(\frac{32 \cdot 25000}{3.1416})}^{\frac{1}{3}}

63.3841mm = {(\frac{32 \cdot 25000mm³}{3.1416})}^{\frac{1}{3}}

63.3841 = {(\frac{32 \cdot 25000}{3.1416})}^{\frac{1}{3}}

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Diameter of Circular Section given Section Modulus Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

d c = {(\frac{32 \cdot 25000mm³}{π})}^{\frac{1}{3}}

Next Step Substitute values of Constants

∴

d c = {(\frac{32 \cdot 25000mm³}{3.1416})}^{\frac{1}{3}}

Next Step Convert Units

∴

d c = {(\frac{32 \cdot 2.5E-5m³}{3.1416})}^{\frac{1}{3}}

Next Step Prepare to Evaluate

∴

d c = {(\frac{32 \cdot 2.5E-5}{3.1416})}^{\frac{1}{3}}

Next Step Evaluate

∴

d c = 0.0633840576754908m

Next Step Convert to Output's Unit

∴

d c = 63.3840576754908mm

LAST Step Rounding Answer

∴

d c = 63.3841mm

Diameter of Circular Section given Section Modulus Formula Elements

Variables

Constants

Diameter of Circular Section

Diameter of Circular Section is the diameter of the circular cross-section of the beam.

Symbol: d_c

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Diameter of Circular Section

Section Modulus

Section Modulus is a geometric property of a cross-section used in structural and mechanical engineering to assess the strength of a beam or similar structure.

Symbol: Z

Measurement: VolumeUnit: mm³

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 to find Diameter of Circular Section

Go Diameter of Circular Section given Distance of Outermost Layer from Neutral Layer

d c = 2 \cdot Y max

Go Diameter of Circular Section given Moment of Inertia about Neutral Axis

d c = {(\frac{64 \cdot I circular}{π})}^{\frac{1}{4}}

Other formulas in Circular Section category

Go Section Modulus for Circular Section

Z = \frac{π}{32} \cdot {d c}^{3}

Go Distance of Outermost Layer from Neutral Layer in Circular Sections

Y max = \frac{d c}{2}

Go Moment of Inertia about Neutral Axis for Circular Section

I circular = \frac{π}{64} \cdot {d c}^{4}

How to Evaluate Diameter of Circular Section given Section Modulus?

Diameter of Circular Section given Section Modulus evaluator uses Diameter of Circular Section = ((32*Section Modulus)/pi)^(1/3) to evaluate the Diameter of Circular Section, The Diameter of Circular Section given Section Modulus formula is defined as a measure of the diameter of a circular section in a beam, which is essential in calculating the bending stress and ensuring the structural integrity of the beam. Diameter of Circular Section is denoted by d_c symbol.

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

FAQs on Diameter of Circular Section given Section Modulus

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

The formula of Diameter of Circular Section given Section Modulus is expressed as Diameter of Circular Section = ((32*Section Modulus)/pi)^(1/3). Here is an example- 63384.06 = ((32*2.5E-05)/pi)^(1/3).

How to calculate Diameter of Circular Section given Section Modulus?

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

What are the other ways to Calculate Diameter of Circular Section?

Here are the different ways to Calculate Diameter of Circular Section-

Diameter of Circular Section=2*Distance b/w Outermost and Neutral Layer
Diameter of Circular Section=((64*MOI of Area of Circular Section)/(pi))^(1/4)

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

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

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

Diameter of Circular Section 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 Section given Section Modulus can be measured.

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