Moment of Inertia of Circular Section Calculator

✖Radius of Circular Section is the distance from the center of a circle to any point on its boundary, it represent the characteristic size of a circular cross-section in various applications.ⓘ Radius of Circular Section [r]

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✖Moment of Inertia of Area of Section is a geometric property that quantifies how a cross-sectional area is distributed relative to an axis.ⓘ Moment of Inertia of Circular Section [I]

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Moment of Inertia of Circular Section Solution

STEP 0: Pre-Calculation Summary

Formula Used

Moment of Inertia of Area of Section = pi/4*Radius of Circular Section^4
I = pi/4*r^4
This formula uses 1 Constants, 2 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Moment of Inertia of Area of Section - (Measured in Meter⁴) - Moment of Inertia of Area of Section is a geometric property that quantifies how a cross-sectional area is distributed relative to an axis.
Radius of Circular Section - (Measured in Meter) - Radius of Circular Section is the distance from the center of a circle to any point on its boundary, it represent the characteristic size of a circular cross-section in various applications.

STEP 1: Convert Input(s) to Base Unit

Radius of Circular Section: 1200 Millimeter --> 1.2 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

I = pi/4*r^4 --> pi/4*1.2^4

Evaluating ... ...

I = 1.62860163162095

STEP 3: Convert Result to Output's Unit

1.62860163162095 Meter⁴ --> No Conversion Required

FINAL ANSWER

1.62860163162095 ≈ 1.628602 Meter⁴ <-- Moment of Inertia of Area of Section

(Calculation completed in 00.004 seconds)

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< Moment of Inertia Calculators

Moment of Inertia of Circular Section given Shear Stress

LaTeX Go Moment of Inertia of Area of Section = (Shear Force on Beam*2/3*(Radius of Circular Section^2-Distance from Neutral Axis^2)^(3/2))/(Shear Stress in Beam*Width of Beam Section)

Moment of Inertia of Circular Section given Maximum Shear Stress

LaTeX Go Moment of Inertia of Area of Section = Shear Force on Beam/(3*Maximum Shear Stress on Beam)*Radius of Circular Section^2

Area Moment of Considered Area about Neutral Axis

LaTeX Go First Moment of Area = 2/3*(Radius of Circular Section^2-Distance from Neutral Axis^2)^(3/2)

Moment of Inertia of Circular Section

LaTeX Go Moment of Inertia of Area of Section = pi/4*Radius of Circular Section^4

Moment of Inertia of Circular Section Formula

LaTeX Go

Moment of Inertia of Area of Section = pi/4*Radius of Circular Section^4
I = pi/4*r^4

What is Moment of Inertia?

Moment of inertia, denoted by I, measures the extent to which an object resists rotational acceleration about a particular axis, and is the rotational analogue to mass (which determines an object's resistance to linear acceleration).

How to Calculate Moment of Inertia of Circular Section?

Moment of Inertia of Circular Section calculator uses Moment of Inertia of Area of Section = pi/4*Radius of Circular Section^4 to calculate the Moment of Inertia of Area of Section, The Moment of Inertia of Circular Section formula is defined as a measure of the tendency of an object to resist changes in its rotation, which is essential in calculating the shear stress in circular sections, particularly in mechanical and structural engineering applications. Moment of Inertia of Area of Section is denoted by I symbol.

How to calculate Moment of Inertia of Circular Section using this online calculator? To use this online calculator for Moment of Inertia of Circular Section, enter Radius of Circular Section (r) and hit the calculate button. Here is how the Moment of Inertia of Circular Section calculation can be explained with given input values -> 1.628602 = pi/4*1.2^4.

FAQ

What is Moment of Inertia of Circular Section?

The Moment of Inertia of Circular Section formula is defined as a measure of the tendency of an object to resist changes in its rotation, which is essential in calculating the shear stress in circular sections, particularly in mechanical and structural engineering applications and is represented as I = pi/4*r^4 or Moment of Inertia of Area of Section = pi/4*Radius of Circular Section^4. Radius of Circular Section is the distance from the center of a circle to any point on its boundary, it represent the characteristic size of a circular cross-section in various applications.

How to calculate Moment of Inertia of Circular Section?

The Moment of Inertia of Circular Section formula is defined as a measure of the tendency of an object to resist changes in its rotation, which is essential in calculating the shear stress in circular sections, particularly in mechanical and structural engineering applications is calculated using Moment of Inertia of Area of Section = pi/4*Radius of Circular Section^4. To calculate Moment of Inertia of Circular Section, you need Radius of Circular Section (r). With our tool, you need to enter the respective value for Radius 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 Moment of Inertia of Area of Section?

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

Moment of Inertia of Area of Section = Shear Force on Beam/(3*Maximum Shear Stress on Beam)*Radius of Circular Section^2
Moment of Inertia of Area of Section = (Shear Force on Beam*2/3*(Radius of Circular Section^2-Distance from Neutral Axis^2)^(3/2))/(Shear Stress in Beam*Width of Beam Section)

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