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Moment of Inertia about xx axis for Hollow Rectangular Section Formula

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Moment of Inertia about X-X Axis is defined as the quantity expressed by the body resisting angular acceleration. Check FAQs

I xx = (B outer \cdot \frac{{L outer}^{3}}{12}) - (({L inner}^{3}) \cdot \frac{B inner}{12})

I_xx - Moment of Inertia about X-X Axis?B_outer - Outer Breadth of Hollow Rectangular Section?L_outer - Outer Length of Hollow Rectangle?L_inner - Inner Length of Hollow Rectangle?B_inner - Inner Breadth of Hollow Rectangular Section?

Moment of Inertia about xx axis for Hollow Rectangular Section Example

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

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

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

-4437530083.2103 = (480 \cdot \frac{{116.0211}^{3}}{12}) - ((600^{3}) \cdot \frac{250}{12})

-4437530083.2103mm⁴ = (480mm \cdot \frac{{116.0211mm}^{3}}{12}) - (({600mm}^{3}) \cdot \frac{250mm}{12})

-4437530083.2103 = (480 \cdot \frac{{116.0211}^{3}}{12}) - ((600^{3}) \cdot \frac{250}{12})

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Moment of Inertia about xx axis for Hollow Rectangular Section Solution

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

FIRST Step Consider the formula

I xx = (B outer \cdot \frac{{L outer}^{3}}{12}) - (({L inner}^{3}) \cdot \frac{B inner}{12})

Next Step Substitute values of Variables

∴

I xx = (480mm \cdot \frac{{116.0211mm}^{3}}{12}) - (({600mm}^{3}) \cdot \frac{250mm}{12})

Next Step Convert Units

∴

I xx = (0.48m \cdot \frac{{0.116m}^{3}}{12}) - (({0.6m}^{3}) \cdot \frac{0.25m}{12})

Next Step Prepare to Evaluate

∴

I xx = (0.48 \cdot \frac{{0.116}^{3}}{12}) - (({0.6}^{3}) \cdot \frac{0.25}{12})

Next Step Evaluate

∴

I xx = -0.0044375300832103m⁴

LAST Step Convert to Output's Unit

∴

I xx = -4437530083.2103mm⁴

Moment of Inertia about xx axis for Hollow Rectangular Section Formula Elements

Variables

Moment of Inertia about X-X Axis

Moment of Inertia about X-X Axis is defined as the quantity expressed by the body resisting angular acceleration.

Symbol: I_xx

Measurement: Second Moment of AreaUnit: mm⁴

Note: Value should be greater than 0.

Formulas to find Moment of Inertia about X-X Axis

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

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 Length of Hollow Rectangle

Inner Length of Hollow Rectangle is the distance along the inside length of a rectangular section that has a hollowed-out interior.

Symbol: L_inner

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Inner Length of Hollow Rectangle

Inner Breadth of Hollow Rectangular Section

Inner Breadth of Hollow Rectangular Section is the shorter breadth of the rectangular section.

Symbol: B_inner

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Inner Breadth of Hollow Rectangular Section

Other formulas in Kernel of Hollow Rectangular Section category

Go Maximum Eccentricity of Load about Y Axis for Hollow Rectangular Section

e yy = \frac{(({B outer}^{3}) \cdot (L outer)) - ((L inner) \cdot ({B inner}^{3}))}{6 \cdot B outer \cdot (((B outer) \cdot (L outer)) - ((L inner) \cdot (B inner)))}

Go Maximum Eccentricity of Load about X Axis for Hollow Rectangular Section

e xx = \frac{(B outer \cdot ({L outer}^{3})) - (({L inner}^{3}) \cdot B inner)}{6 \cdot L outer \cdot ((B outer \cdot (L outer)) - ((L inner) \cdot B inner))}

Go Internal Length of Hollow Rectangular Section using Section Modulus about y-y axis

L inner = \frac{(({B outer}^{3}) \cdot (L outer)) - (6 \cdot S \cdot B outer)}{{B inner}^{3}}

Go External Length of hollow Rectangular Section using Section Modulus about y-y axis

L outer = \frac{(6 \cdot S \cdot B outer) + ((L inner) \cdot ({B inner}^{3}))}{{B outer}^{3}}

How to Evaluate Moment of Inertia about xx axis for Hollow Rectangular Section?

Moment of Inertia about xx axis for Hollow Rectangular Section evaluator uses Moment of Inertia about X-X Axis = (Outer Breadth of Hollow Rectangular Section*(Outer Length of Hollow Rectangle^3)/12)-((Inner Length of Hollow Rectangle^3)*Inner Breadth of Hollow Rectangular Section/12) to evaluate the Moment of Inertia about X-X Axis, The Moment of Inertia about xx axis for Hollow Rectangular Section formula is defined as a measure of the tendency of an object to resist changes in its rotation, providing a way to quantify the distribution of mass in a hollow rectangular section around the xx axis. Moment of Inertia about X-X Axis is denoted by I_xx symbol.

How to evaluate Moment of Inertia about xx axis for Hollow Rectangular Section using this online evaluator? To use this online evaluator for Moment of Inertia about xx axis for Hollow Rectangular Section, enter Outer Breadth of Hollow Rectangular Section (B_outer), Outer Length of Hollow Rectangle (L_outer), Inner Length of Hollow Rectangle (L_inner) & Inner Breadth of Hollow Rectangular Section (B_inner) and hit the calculate button.

FAQs on Moment of Inertia about xx axis for Hollow Rectangular Section

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

The formula of Moment of Inertia about xx axis for Hollow Rectangular Section is expressed as Moment of Inertia about X-X Axis = (Outer Breadth of Hollow Rectangular Section*(Outer Length of Hollow Rectangle^3)/12)-((Inner Length of Hollow Rectangle^3)*Inner Breadth of Hollow Rectangular Section/12). Here is an example- 4.9E+22 = (0.48*(0.1160211^3)/12)-((0.6^3)*0.25/12).

How to calculate Moment of Inertia about xx axis for Hollow Rectangular Section?

With Outer Breadth of Hollow Rectangular Section (B_outer), Outer Length of Hollow Rectangle (L_outer), Inner Length of Hollow Rectangle (L_inner) & Inner Breadth of Hollow Rectangular Section (B_inner) we can find Moment of Inertia about xx axis for Hollow Rectangular Section using the formula - Moment of Inertia about X-X Axis = (Outer Breadth of Hollow Rectangular Section*(Outer Length of Hollow Rectangle^3)/12)-((Inner Length of Hollow Rectangle^3)*Inner Breadth of Hollow Rectangular Section/12).

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

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

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

Moment of Inertia about xx axis 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 about xx axis for Hollow Rectangular Section can be measured.

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Moment of Inertia about xx axis for Hollow Rectangular Section Formula

Moment of Inertia about xx axis for Hollow Rectangular Section Example

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Moment of Inertia about xx axis for Hollow Rectangular Section Solution

Moment of Inertia about xx axis for Hollow Rectangular Section Formula Elements

Other formulas in Kernel of Hollow Rectangular Section category

How to Evaluate Moment of Inertia about xx axis for Hollow Rectangular Section?

FAQs on Moment of Inertia about xx axis for Hollow Rectangular Section

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