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

✖MOI of Area of Circular Section is the second moment of the area of the section about the neutral axis.ⓘ MOI of Area of Circular Section [I_circular]

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✖Diameter of Circular section is the diameter of the circular cross-section of the beam.ⓘ Diameter of Circular Section given Moment of Inertia about Neutral Axis [d_c]

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Formula

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Diameter of Circular Section given Moment of Inertia about Neutral Axis

Formula

`"d"_{"c"} = ((64*"I"_{"circular"})/(pi))^(1/4)`

Example

`"12.38252mm"=((64*"1154mm⁴")/(pi))^(1/4)`

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

STEP 0: Pre-Calculation Summary

Formula Used

Diameter of Circular section = ((64*MOI of Area of Circular Section)/(pi))^(1/4)
d_c = ((64*I_circular)/(pi))^(1/4)
This formula uses 1 Constants, 2 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Diameter of Circular section - (Measured in Meter) - Diameter of Circular section is the diameter of the circular cross-section of the beam.
MOI of Area of Circular Section - (Measured in Meter⁴) - MOI of Area of Circular Section is the second moment of the area of the section about the neutral axis.

STEP 1: Convert Input(s) to Base Unit

MOI of Area of Circular Section: 1154 Millimeter⁴ --> 1.154E-09 Meter⁴ (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d_c = ((64*I_circular)/(pi))^(1/4) --> ((64*1.154E-09)/(pi))^(1/4)

Evaluating ... ...

d_c = 0.012382518272427

STEP 3: Convert Result to Output's Unit

0.012382518272427 Meter -->12.382518272427 Millimeter (Check conversion here)

FINAL ANSWER

12.382518272427 ≈ 12.38252 Millimeter <-- Diameter of Circular section

(Calculation completed in 00.004 seconds)

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< 6 Circular Section Calculators

Diameter of Circular Section given Moment of Inertia about Neutral Axis

Go Diameter of Circular section = ((64*MOI of Area of Circular Section)/(pi))^(1/4)

Moment of Inertia about Neutral Axis for Circular Section

Go MOI of Area of Circular Section = pi/64*Diameter of Circular section^4

Diameter of Circular Section given Section Modulus

Go Diameter of Circular section = ((32*Section Modulus)/pi)^(1/3)

Section Modulus for Circular Section

Go Section Modulus = pi/32*Diameter of Circular section^3

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

Go Diameter of Circular section = 2*Distance b/w Outermost and Neutral Layer

Distance of Outermost Layer from Neutral Layer in Circular Sections

Go Distance b/w Outermost and Neutral Layer = Diameter of Circular section/2

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

Diameter of Circular section = ((64*MOI of Area of Circular Section)/(pi))^(1/4)
d_c = ((64*I_circular)/(pi))^(1/4)

What is the difference between elastic and plastic section modulus?

The elastic section modulus assumes the section remains elastic. The plastic section modulus assumes the entire section yields. Elastic modulus is the steel modulus based on the stress strain curve before yielding.

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

Diameter of Circular Section given Moment of Inertia about Neutral Axis calculator uses Diameter of Circular section = ((64*MOI of Area of Circular Section)/(pi))^(1/4) to calculate the Diameter of Circular section, Diameter of Circular section given Moment of inertia about Neutral axis is defined as any straight line segment that passes through the center of the circle and whose endpoints lie on the circle. Diameter of Circular section is denoted by d_c symbol.

How to calculate Diameter of Circular Section given Moment of Inertia about Neutral Axis using this online calculator? To use this online calculator 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. Here is how the Diameter of Circular Section given Moment of Inertia about Neutral Axis calculation can be explained with given input values -> 12382.52 = ((64*1.154E-09)/(pi))^(1/4).

FAQ

What is Diameter of Circular Section given Moment of Inertia about Neutral Axis?

Diameter of Circular section given Moment of inertia about Neutral axis is defined as any straight line segment that passes through the center of the circle and whose endpoints lie on the circle and is represented as d_c = ((64*I_circular)/(pi))^(1/4) or Diameter of Circular section = ((64*MOI of Area of Circular Section)/(pi))^(1/4). MOI of Area of Circular Section is the second moment of the area of the section about the neutral axis.

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

Diameter of Circular section given Moment of inertia about Neutral axis is defined as any straight line segment that passes through the center of the circle and whose endpoints lie on the circle is calculated using Diameter of Circular section = ((64*MOI of Area of Circular Section)/(pi))^(1/4). To calculate Diameter of Circular Section given Moment of Inertia about Neutral Axis, you need MOI of Area of Circular Section (I_circular). With our tool, you need to enter the respective value for MOI of Area of Circular Section and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Diameter of Circular section?

In this formula, Diameter of Circular section uses MOI of Area of Circular Section. We can use 2 other way(s) to calculate the same, which is/are as follows -

Diameter of Circular section = ((32*Section Modulus)/pi)^(1/3)
Diameter of Circular section = 2*Distance b/w Outermost and Neutral Layer

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