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

✖length of rectangular section is the measurement or extent of the rectangular cross-section of the specimen from end to end.ⓘ Length of rectangular section [L]			+10% -10%
✖Breadth of rectangular section is the measurement or extent of the rectangular cross-section of the specimen from side to side.ⓘ Breadth of rectangular section [b]			+10% -10%

✖Area Moment of Inertia is a property of a two-dimensional plane shape that characterizes its deflection under loading.ⓘ Area Moment of inertia of rectangular cross-section along centroidal axis parallel to length [I]

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

STEP 0: Pre-Calculation Summary

Formula Used

Area Moment of Inertia = ((Length of rectangular section^3)*Breadth of rectangular section)/12
I = ((L^3)*b)/12
This formula uses 3 Variables

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.
Length of rectangular section - (Measured in Meter) - length of rectangular section is the measurement or extent of the rectangular cross-section of the specimen from end to end.
Breadth of rectangular section - (Measured in Meter) - Breadth of rectangular section is the measurement or extent of the rectangular cross-section of the specimen from side to side.

STEP 1: Convert Input(s) to Base Unit

Length of rectangular section: 29 Millimeter --> 0.029 Meter (Check conversion here)
Breadth of rectangular section: 25 Millimeter --> 0.025 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

I = ((L^3)*b)/12 --> ((0.029^3)*0.025)/12

Evaluating ... ...

I = 5.08104166666667E-08

STEP 3: Convert Result to Output's Unit

5.08104166666667E-08 Meter⁴ -->50810.4166666667 Millimeter⁴ (Check conversion here)

FINAL ANSWER

50810.4166666667 ≈ 50810.42 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 rectangular cross-section along centroidal axis parallel to length

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Created by Vaibhav Malani

National Institute of Technology (NIT), Tiruchirapalli

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< Stresses due to Bending Moment Calculators

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

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

Bending stress in specimen due to bending moment

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

Bending moment in specimen given bending stress

LaTeX 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

LaTeX 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 Formula

LaTeX Go

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

What is moment of inertia?

Moment of inertia, in physics, 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 rectangular cross-section along centroidal axis parallel to length?

Area Moment of inertia of rectangular cross-section along centroidal axis parallel to length calculator uses Area Moment of Inertia = ((Length of rectangular section^3)*Breadth of rectangular section)/12 to calculate the Area Moment of Inertia, The Area Moment of inertia of rectangular cross-section along centroidal axis parallel to length formula is defined as the quantityFormula name and def updated 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 rectangular cross-section along centroidal axis parallel to length using this online calculator? To use this online calculator for Area Moment of inertia of rectangular cross-section along centroidal axis parallel to length, enter Length of rectangular section (L) & Breadth of rectangular section (b) and hit the calculate button. Here is how the Area Moment of inertia of rectangular cross-section along centroidal axis parallel to length calculation can be explained with given input values -> 5.1E+16 = ((0.029^3)*0.025)/12.

FAQ

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

The Area Moment of inertia of rectangular cross-section along centroidal axis parallel to length formula is defined as the quantityFormula name and def updated 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 = ((L^3)*b)/12 or Area Moment of Inertia = ((Length of rectangular section^3)*Breadth of rectangular section)/12. length of rectangular section is the measurement or extent of the rectangular cross-section of the specimen from end to end & Breadth of rectangular section is the measurement or extent of the rectangular cross-section of the specimen from side to side.

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

The Area Moment of inertia of rectangular cross-section along centroidal axis parallel to length formula is defined as the quantityFormula name and def updated 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 = ((Length of rectangular section^3)*Breadth of rectangular section)/12. To calculate Area Moment of inertia of rectangular cross-section along centroidal axis parallel to length, you need Length of rectangular section (L) & Breadth of rectangular section (b). With our tool, you need to enter the respective value for Length of rectangular section & Breadth of rectangular 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 Area Moment of Inertia?

In this formula, Area Moment of Inertia uses Length of rectangular section & Breadth of rectangular section. 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 = pi*(Diameter of circular section of shaft^4)/64

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