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Moment of Inertia for Hollow Rectangular Section Formula

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MOI of Area of Circular Section is the second moment of the area of the section about the neutral axis. Check FAQs

I circular = \frac{B outer \cdot {L outer}^{3} - B inner \cdot {L inner}^{3}}{12}

I_circular - MOI of Area of Circular Section?B_outer - Outer Breadth of Hollow Rectangular Section?L_outer - Outer Length of Hollow Rectangle?B_inner - Inner Breadth of Hollow Rectangular Section?L_inner - Inner Length of Hollow Rectangle?

Moment of Inertia for Hollow Rectangular Section Example

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Here is how the Moment of Inertia for Hollow Rectangular Section equation looks like with Values.

Here is how the Moment of Inertia for Hollow Rectangular Section equation looks like with Units.

Here is how the Moment of Inertia for Hollow Rectangular Section equation looks like.

4.9E+10 = \frac{480 \cdot 1100^{3} - 250 \cdot 600^{3}}{12}

4.9E+10mm⁴ = \frac{480mm \cdot {1100mm}^{3} - 250mm \cdot {600mm}^{3}}{12}

4.9E+10 = \frac{480 \cdot 1100^{3} - 250 \cdot 600^{3}}{12}

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Moment of Inertia for Hollow Rectangular Section Solution

Follow our step by step solution on how to calculate Moment of Inertia for Hollow Rectangular Section?

FIRST Step Consider the formula

I circular = \frac{B outer \cdot {L outer}^{3} - B inner \cdot {L inner}^{3}}{12}

Next Step Substitute values of Variables

∴

I circular = \frac{480mm \cdot {1100mm}^{3} - 250mm \cdot {600mm}^{3}}{12}

Next Step Convert Units

∴

I circular = \frac{0.48m \cdot {1.1m}^{3} - 0.25m \cdot {0.6m}^{3}}{12}

Next Step Prepare to Evaluate

∴

I circular = \frac{0.48 \cdot {1.1}^{3} - 0.25 \cdot {0.6}^{3}}{12}

Next Step Evaluate

∴

I circular = 0.04874m⁴

Next Step Convert to Output's Unit

∴

I circular = 48740000000mm⁴

LAST Step Rounding Answer

∴

I circular = 4.9E+10mm⁴

Moment of Inertia for Hollow Rectangular Section Formula Elements

Variables

MOI of Area of Circular Section

MOI of Area of Circular Section is the second moment of the area of the section about the neutral axis.

Symbol: I_circular

Measurement: Second Moment of AreaUnit: mm⁴

Note: Value should be greater than 0.

Formulas to find MOI of Area of Circular Section

Outer Breadth of Hollow Rectangular Section

Outer Breadth of Hollow Rectangular Section is the shorter side of the outside rectangle in a hollow rectangular section.

Symbol: B_outer

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Outer Breadth of Hollow Rectangular Section

Outer Length of Hollow Rectangle

The outer length of hollow rectangle is the longest side length of the hollow rectangle.

Symbol: L_outer

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Outer Length of Hollow Rectangle

Inner Breadth of Hollow Rectangular Section

Inner Breadth of Hollow Rectangular Section is the internal horizontal distance between the two vertical sides of the section.

Symbol: B_inner

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Inner Breadth of Hollow Rectangular Section

Inner Length of Hollow Rectangle

Inner Length of Hollow Rectangle is the distance measured along the inside of the longer side (length) of the hollow rectangular section.

Symbol: L_inner

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Inner Length of Hollow Rectangle

Other formulas in Hollow Rectangular Section category

Go Outer Length of Hollow Rectangular Section

L outer = 2 \cdot Y max

Go Outer Breadth of Hollow Rectangular Section given Section Modulus

B outer = \frac{6 \cdot Z \cdot L outer + B inner \cdot {L inner}^{3}}{{L outer}^{3}}

Go Section Modulus for Hollow Rectangular Section

Z = \frac{B outer \cdot {L outer}^{3} - B inner \cdot {L inner}^{3}}{6 \cdot L outer}

Go Distance of Outermost Layer from Neutral Axis for Hollow Rectangular Sections

Y max = \frac{L outer}{2}

How to Evaluate Moment of Inertia for Hollow Rectangular Section?

Moment of Inertia for Hollow Rectangular Section evaluator 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 evaluate 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 evaluate Moment of Inertia for Hollow Rectangular Section using this online evaluator? To use this online evaluator 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.

FAQs on Moment of Inertia for Hollow Rectangular Section

What is the formula to find Moment of Inertia for Hollow Rectangular Section?

The formula of Moment of Inertia for Hollow Rectangular Section is expressed as 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. Here is an example- 4.9E+22 = (0.48*1.1^3-0.25*0.6^3)/12.

How to calculate Moment of Inertia for Hollow Rectangular Section?

With 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) we can find Moment of Inertia for Hollow Rectangular Section using the formula - 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.

Can the Moment of Inertia for Hollow Rectangular Section be negative?

No, the Moment of Inertia for Hollow Rectangular Section, measured in Second Moment of Area cannot be negative.

Which unit is used to measure Moment of Inertia for Hollow Rectangular Section?

Moment of Inertia for Hollow Rectangular Section is usually measured using the Millimeter⁴[mm⁴] for Second Moment of Area. Meter⁴[mm⁴], Centimeter⁴[mm⁴] are the few other units in which Moment of Inertia for Hollow Rectangular Section can be measured.

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Moment of Inertia for Hollow Rectangular Section Formula

Moment of Inertia for Hollow Rectangular Section Example

Moment of Inertia for Hollow Rectangular Section Solution

Moment of Inertia for Hollow Rectangular Section Formula Elements

Other formulas in Hollow Rectangular Section category

How to Evaluate Moment of Inertia for Hollow Rectangular Section?

FAQs on Moment of Inertia for Hollow Rectangular Section

Variable Name