Moment of Inertia for Hollow Rectangular Section Calculator

✖Outer Breadth of Hollow Rectangular Section is the shorter side of the outside rectangle in a hollow rectangular section.ⓘ Outer Breadth of Hollow Rectangular Section [B_outer]			+10% -10%
✖The outer length of hollow rectangle is the longest side length of the hollow rectangle.ⓘ Outer Length of Hollow Rectangle [L_outer]			+10% -10%
✖Inner Breadth of Hollow Rectangular Section is the internal horizontal distance between the two vertical sides of the section.ⓘ Inner Breadth of Hollow Rectangular Section [B_inner]			+10% -10%
✖Inner Length of Hollow Rectangle is the distance measured along the inside of the longer side (length) of the hollow rectangular section.ⓘ Inner Length of Hollow Rectangle [L_inner]			+10% -10%

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

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Moment of Inertia for Hollow Rectangular Section Solution

STEP 0: Pre-Calculation Summary

Formula Used

MOI of Area of Circular Section = (Outer Breadth of Hollow Rectangular Section*Outer Length of Hollow Rectangle^3-Inner Breadth of Hollow Rectangular Section*Inner Length of Hollow Rectangle^3)/12
I_circular = (B_outer*L_outer^3-B_inner*L_inner^3)/12
This formula uses 5 Variables

Variables Used

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.
Outer Breadth of Hollow Rectangular Section - (Measured in Meter) - Outer Breadth of Hollow Rectangular Section is the shorter side of the outside rectangle in a hollow rectangular section.
Outer Length of Hollow Rectangle - (Measured in Meter) - The outer length of hollow rectangle is the longest side length of the hollow rectangle.
Inner Breadth of Hollow Rectangular Section - (Measured in Meter) - Inner Breadth of Hollow Rectangular Section is the internal horizontal distance between the two vertical sides of the section.
Inner Length of Hollow Rectangle - (Measured in Meter) - Inner Length of Hollow Rectangle is the distance measured along the inside of the longer side (length) of the hollow rectangular section.

STEP 1: Convert Input(s) to Base Unit

Outer Breadth of Hollow Rectangular Section: 480 Millimeter --> 0.48 Meter (Check conversion here)
Outer Length of Hollow Rectangle: 1100 Millimeter --> 1.1 Meter (Check conversion here)
Inner Breadth of Hollow Rectangular Section: 250 Millimeter --> 0.25 Meter (Check conversion here)
Inner Length of Hollow Rectangle: 600 Millimeter --> 0.6 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

I_circular = (B_outer*L_outer^3-B_inner*L_inner^3)/12 --> (0.48*1.1^3-0.25*0.6^3)/12

Evaluating ... ...

I_circular = 0.04874

STEP 3: Convert Result to Output's Unit

0.04874 Meter⁴ -->48740000000 Millimeter⁴ (Check conversion here)

FINAL ANSWER

48740000000 ≈ 4.9E+10 Millimeter⁴ <-- MOI of Area of Circular Section

(Calculation completed in 00.008 seconds)

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National Institute Of Technology (NIT), Hamirpur

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< Hollow Rectangular Section Calculators

Outer Breadth of Hollow Rectangular Section given Section Modulus

LaTeX Go Outer Breadth of Hollow Rectangular Section = (6*Section Modulus*Outer Length of Hollow Rectangle+Inner Breadth of Hollow Rectangular Section*Inner Length of Hollow Rectangle^3)/(Outer Length of Hollow Rectangle^3)

Section Modulus for Hollow Rectangular Section

LaTeX Go Section Modulus = (Outer Breadth of Hollow Rectangular Section*Outer Length of Hollow Rectangle^3-Inner Breadth of Hollow Rectangular Section*Inner Length of Hollow Rectangle^3)/(6*Outer Length of Hollow Rectangle)

Distance of Outermost Layer from Neutral Axis for Hollow Rectangular Sections

LaTeX Go Distance b/w Outermost and Neutral Layer = Outer Length of Hollow Rectangle/2

Outer Length of Hollow Rectangular Section

LaTeX Go Outer Length of Hollow Rectangle = 2*Distance b/w Outermost and Neutral Layer

Moment of Inertia for Hollow Rectangular Section Formula

LaTeX Go

What is Moment of Inertia?

The Moment of Inertia (I), also known as the second moment of area, is a geometric property of a cross-section that quantifies its resistance to bending and torsion. It plays a crucial role in structural and mechanical engineering, particularly in analyzing beams and other load-bearing structures.

How to Calculate Moment of Inertia for Hollow Rectangular Section?

Moment of Inertia for Hollow Rectangular Section calculator uses MOI of Area of Circular Section = (Outer Breadth of Hollow Rectangular Section*Outer Length of Hollow Rectangle^3-Inner Breadth of Hollow Rectangular Section*Inner Length of Hollow Rectangle^3)/12 to calculate the MOI of Area of Circular Section, The Moment of Inertia for Hollow Rectangular Section formula is defined as a measure of the resistance of a hollow rectangular section to bending or twisting, which is crucial in determining the stress and deformation of beams under various loads. MOI of Area of Circular Section is denoted by I_circular symbol.

How to calculate Moment of Inertia for Hollow Rectangular Section using this online calculator? To use this online calculator for Moment of Inertia for Hollow Rectangular Section, enter Outer Breadth of Hollow Rectangular Section (B_outer), Outer Length of Hollow Rectangle (L_outer), Inner Breadth of Hollow Rectangular Section (B_inner) & Inner Length of Hollow Rectangle (L_inner) and hit the calculate button. Here is how the Moment of Inertia for Hollow Rectangular Section calculation can be explained with given input values -> 4.9E+22 = (0.48*1.1^3-0.25*0.6^3)/12.

FAQ

What is Moment of Inertia for Hollow Rectangular Section?

The Moment of Inertia for Hollow Rectangular Section formula is defined as a measure of the resistance of a hollow rectangular section to bending or twisting, which is crucial in determining the stress and deformation of beams under various loads and is represented as I_circular = (B_outer*L_outer^3-B_inner*L_inner^3)/12 or MOI of Area of Circular Section = (Outer Breadth of Hollow Rectangular Section*Outer Length of Hollow Rectangle^3-Inner Breadth of Hollow Rectangular Section*Inner Length of Hollow Rectangle^3)/12. Outer Breadth of Hollow Rectangular Section is the shorter side of the outside rectangle in a hollow rectangular section, The outer length of hollow rectangle is the longest side length of the hollow rectangle, Inner Breadth of Hollow Rectangular Section is the internal horizontal distance between the two vertical sides of the section & Inner Length of Hollow Rectangle is the distance measured along the inside of the longer side (length) of the hollow rectangular section.

How to calculate Moment of Inertia for Hollow Rectangular Section?

The Moment of Inertia for Hollow Rectangular Section formula is defined as a measure of the resistance of a hollow rectangular section to bending or twisting, which is crucial in determining the stress and deformation of beams under various loads is calculated using MOI of Area of Circular Section = (Outer Breadth of Hollow Rectangular Section*Outer Length of Hollow Rectangle^3-Inner Breadth of Hollow Rectangular Section*Inner Length of Hollow Rectangle^3)/12. To calculate Moment of Inertia for Hollow Rectangular Section, you need Outer Breadth of Hollow Rectangular Section (B_outer), Outer Length of Hollow Rectangle (L_outer), Inner Breadth of Hollow Rectangular Section (B_inner) & Inner Length of Hollow Rectangle (L_inner). With our tool, you need to enter the respective value for Outer Breadth of Hollow Rectangular Section, Outer Length of Hollow Rectangle, Inner Breadth of Hollow Rectangular Section & Inner Length of Hollow Rectangle and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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