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

GoDiameter of Circular Section given Section Modulus Formula

GoDiameter of Circular Section given Distance of Outermost Layer from Neutral Layer 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{64 \cdot I circular}{π})}^{\frac{1}{4}}

d_c - Diameter of Circular Section?I_circular - MOI of Area of Circular Section?π - Archimedes' constant?

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

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Here is how the Diameter of Circular Section given Moment of Inertia about Neutral Axis equation looks like with Values.

Here is how the Diameter of Circular Section given Moment of Inertia about Neutral Axis equation looks like with Units.

Here is how the Diameter of Circular Section given Moment of Inertia about Neutral Axis equation looks like.

12.3825 = {(\frac{64 \cdot 1154}{3.1416})}^{\frac{1}{4}}

12.3825mm = {(\frac{64 \cdot 1154mm⁴}{3.1416})}^{\frac{1}{4}}

12.3825 = {(\frac{64 \cdot 1154}{3.1416})}^{\frac{1}{4}}

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

Follow our step by step solution on how to calculate Diameter of Circular Section given Moment of Inertia about Neutral Axis?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

d c = {(\frac{64 \cdot 1154mm⁴}{π})}^{\frac{1}{4}}

Next Step Substitute values of Constants

∴

d c = {(\frac{64 \cdot 1154mm⁴}{3.1416})}^{\frac{1}{4}}

Next Step Convert Units

∴

d c = {(\frac{64 \cdot 1.2E-9m⁴}{3.1416})}^{\frac{1}{4}}

Next Step Prepare to Evaluate

∴

d c = {(\frac{64 \cdot 1.2E-9}{3.1416})}^{\frac{1}{4}}

Next Step Evaluate

∴

d c = 0.012382518272427m

Next Step Convert to Output's Unit

∴

d c = 12.382518272427mm

LAST Step Rounding Answer

∴

d c = 12.3825mm

Diameter of Circular Section given Moment of Inertia about Neutral Axis 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

MOI of Area of Circular Section

MOI of Area of Circular Section is the second moment of the area of the section about the neutral axis.

Symbol: I_circular

Measurement: Second Moment of AreaUnit: mm⁴

Note: Value should be greater than 0.

Formulas to find MOI of Area of Circular Section

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 Section Modulus

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

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

d c = 2 \cdot Y max

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 Moment of Inertia about Neutral Axis?

Diameter of Circular Section given Moment of Inertia about Neutral Axis evaluator uses Diameter of Circular Section = ((64*MOI of Area of Circular Section)/(pi))^(1/4) to evaluate the Diameter of Circular Section, The Diameter of Circular Section given Moment of Inertia about Neutral Axis formula is defined as a measure of the diameter of a circular section in a beam, which is essential in determining the bending stress and moment of inertia about the neutral axis in beam analysis. Diameter of Circular Section is denoted by d_c symbol.

How to evaluate Diameter of Circular Section given Moment of Inertia about Neutral Axis using this online evaluator? To use this online evaluator for Diameter of Circular Section given Moment of Inertia about Neutral Axis, enter MOI of Area of Circular Section (I_circular) and hit the calculate button.

FAQs on Diameter of Circular Section given Moment of Inertia about Neutral Axis

What is the formula to find Diameter of Circular Section given Moment of Inertia about Neutral Axis?

The formula of Diameter of Circular Section given Moment of Inertia about Neutral Axis is expressed as Diameter of Circular Section = ((64*MOI of Area of Circular Section)/(pi))^(1/4). Here is an example- 12382.52 = ((64*1.154E-09)/(pi))^(1/4).

How to calculate Diameter of Circular Section given Moment of Inertia about Neutral Axis?

With MOI of Area of Circular Section (I_circular) we can find Diameter of Circular Section given Moment of Inertia about Neutral Axis using the formula - Diameter of Circular Section = ((64*MOI of Area of Circular Section)/(pi))^(1/4). 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=((32*Section Modulus)/pi)^(1/3)
Diameter of Circular Section=2*Distance b/w Outermost and Neutral Layer

Can the Diameter of Circular Section given Moment of Inertia about Neutral Axis be negative?

No, the Diameter of Circular Section given Moment of Inertia about Neutral Axis, measured in Length cannot be negative.

Which unit is used to measure Diameter of Circular Section given Moment of Inertia about Neutral Axis?

Diameter of Circular Section given Moment of Inertia about Neutral Axis 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 Moment of Inertia about Neutral Axis can be measured.

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