Area Moment of Inertia of Circular Cross-Section about Diameter Calculator

✖Area Moment of Inertia is a property of a two-dimensional plane shape that characterizes its deflection under loading.ⓘ Area Moment of Inertia of Circular Cross-Section about Diameter [I]

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Area Moment of Inertia of Circular Cross-Section about Diameter

Formula

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

Example

`"65597.24mm⁴"=pi*(("34mm")^4)/64`

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Area Moment of Inertia of Circular Cross-Section about Diameter Solution

STEP 0: Pre-Calculation Summary

Formula Used

Area Moment of Inertia = pi*(Diameter of circular section of shaft^4)/64
I = pi*(d_c^4)/64
This formula uses 1 Constants, 2 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Area Moment of Inertia - (Measured in Meter⁴) - Area Moment of Inertia is a property of a two-dimensional plane shape that characterizes its deflection under loading.
Diameter of circular section of shaft - (Measured in Meter) - Diameter of circular section of shaft is the diameter of the circular cross-section of the specimen.

STEP 1: Convert Input(s) to Base Unit

Diameter of circular section of shaft: 34 Millimeter --> 0.034 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

I = pi*(d_c^4)/64 --> pi*(0.034^4)/64

Evaluating ... ...

I = 6.55972400051183E-08

STEP 3: Convert Result to Output's Unit

6.55972400051183E-08 Meter⁴ -->65597.2400051183 Millimeter⁴ (Check conversion here)

FINAL ANSWER

65597.2400051183 ≈ 65597.24 Millimeter⁴ <-- Area Moment of Inertia

(Calculation completed in 00.004 seconds)

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Home » Engineering » Mechanical » Machine Design » Design Against Static Load » Stresses due to Bending Moment » Area Moment of Inertia of Circular Cross-Section about Diameter

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Created by Vaibhav Malani

National Institute of Technology (NIT), Tiruchirapalli

Vaibhav Malani has created this Calculator and 600+ more calculators!

Verified by Sagar S Kulkarni

Dayananda Sagar College of Engineering (DSCE), Bengaluru

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< 6 Stresses due to Bending Moment Calculators

Area Moment of Inertia of specimen given bending moment and bending stress

Go Area Moment of Inertia = (Bending Moment*Distance from Neutral Axis of Curved Beam)/Bending Stress

Bending stress in specimen due to bending moment

Go Bending Stress = (Bending Moment*Distance from Neutral Axis of Curved Beam)/Area Moment of Inertia

Bending moment in specimen given bending stress

Go Bending Moment = (Bending Stress*Area Moment of Inertia)/Distance from Neutral Axis of Curved Beam

Area Moment of inertia of rectangular cross-section along centroidal axis parallel to breadth

Go Area Moment of Inertia = (Breadth of rectangular section*(Length of rectangular section^3))/12

Area Moment of inertia of rectangular cross-section along centroidal axis parallel to length

Go Area Moment of Inertia = ((Length of rectangular section^3)*Breadth of rectangular section)/12

Area Moment of Inertia of Circular Cross-Section about Diameter

Go Area Moment of Inertia = pi*(Diameter of circular section of shaft^4)/64

Area Moment of Inertia of Circular Cross-Section about Diameter Formula

Area Moment of Inertia = pi*(Diameter of circular section of shaft^4)/64
I = pi*(d_c^4)/64

What is moment of inertia?

Moment of inertia, in physics, is a quantitative measure of the rotational inertia of a body—i.e., the opposition that the body exhibits to having its speed of rotation about an axis altered by the application of a torque (turning force).

How to Calculate Area Moment of Inertia of Circular Cross-Section about Diameter?

Area Moment of Inertia of Circular Cross-Section about Diameter calculator uses Area Moment of Inertia = pi*(Diameter of circular section of shaft^4)/64 to calculate the Area Moment of Inertia, The Area Moment of Inertia of Circular Cross-Section about Diameter formula is defined as the quantity expressing a body's tendency to resist angular acceleration, which is the sum of the products of the mass of each particle in the body with the square of its distance from the axis of rotation. Area Moment of Inertia is denoted by I symbol.

How to calculate Area Moment of Inertia of Circular Cross-Section about Diameter using this online calculator? To use this online calculator for Area Moment of Inertia of Circular Cross-Section about Diameter, enter Diameter of circular section of shaft (d_c) and hit the calculate button. Here is how the Area Moment of Inertia of Circular Cross-Section about Diameter calculation can be explained with given input values -> 6.6E+16 = pi*(0.034^4)/64.

FAQ

What is Area Moment of Inertia of Circular Cross-Section about Diameter?

The Area Moment of Inertia of Circular Cross-Section about Diameter formula is defined as the quantity expressing a body's tendency to resist angular acceleration, which is the sum of the products of the mass of each particle in the body with the square of its distance from the axis of rotation and is represented as I = pi*(d_c^4)/64 or Area Moment of Inertia = pi*(Diameter of circular section of shaft^4)/64. Diameter of circular section of shaft is the diameter of the circular cross-section of the specimen.

How to calculate Area Moment of Inertia of Circular Cross-Section about Diameter?

The Area Moment of Inertia of Circular Cross-Section about Diameter formula is defined as the quantity expressing a body's tendency to resist angular acceleration, which is the sum of the products of the mass of each particle in the body with the square of its distance from the axis of rotation is calculated using Area Moment of Inertia = pi*(Diameter of circular section of shaft^4)/64. To calculate Area Moment of Inertia of Circular Cross-Section about Diameter, you need Diameter of circular section of shaft (d_c). With our tool, you need to enter the respective value for Diameter of circular section of shaft 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 Area Moment of Inertia?

In this formula, Area Moment of Inertia uses Diameter of circular section of shaft. We can use 3 other way(s) to calculate the same, which is/are as follows -

Area Moment of Inertia = (Bending Moment*Distance from Neutral Axis of Curved Beam)/Bending Stress
Area Moment of Inertia = (Breadth of rectangular section*(Length of rectangular section^3))/12
Area Moment of Inertia = ((Length of rectangular section^3)*Breadth of rectangular section)/12

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