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Moment of Inertia of Hollow Rectangle about Centroidal Axis x-x Parallel to Breadth Formula

GoMoment of inertia of rectangle about centroidal axis along x-x parallel to breadth Formula

GoMoment of inertia of triangle about centroidal axis x-x parallel to base 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

J xx = \frac{(B \cdot {L rect}^{3}) - (B i \cdot {L i}^{3})}{12}

J_xx - Moment of Inertia about x-x axis?B - Breadth of Rectangular Section?L_rect - Length of Rectangular Section?B_i - Inner Breadth of Hollow Rectangular Section?L_i - Inner Length of Hollow Rectangle?

Moment of Inertia of Hollow Rectangle about Centroidal Axis x-x Parallel to Breadth Example

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Here is how the Moment of Inertia of Hollow Rectangle about Centroidal Axis x-x Parallel to Breadth equation looks like with Values.

Here is how the Moment of Inertia of Hollow Rectangle about Centroidal Axis x-x Parallel to Breadth equation looks like with Units.

Here is how the Moment of Inertia of Hollow Rectangle about Centroidal Axis x-x Parallel to Breadth equation looks like.

1.2246 = \frac{(1.99 \cdot {2.01}^{3}) - (0.75 \cdot {1.25}^{3})}{12}

1.2246m⁴ = \frac{(1.99m \cdot {2.01m}^{3}) - (0.75m \cdot {1.25m}^{3})}{12}

1.2246 = \frac{(1.99 \cdot {2.01}^{3}) - (0.75 \cdot {1.25}^{3})}{12}

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Moment of Inertia of Hollow Rectangle about Centroidal Axis x-x Parallel to Breadth Solution

Follow our step by step solution on how to calculate Moment of Inertia of Hollow Rectangle about Centroidal Axis x-x Parallel to Breadth?

FIRST Step Consider the formula

J xx = \frac{(B \cdot {L rect}^{3}) - (B i \cdot {L i}^{3})}{12}

Next Step Substitute values of Variables

∴

J xx = \frac{(1.99m \cdot {2.01m}^{3}) - (0.75m \cdot {1.25m}^{3})}{12}

Next Step Prepare to Evaluate

∴

J xx = \frac{(1.99 \cdot {2.01}^{3}) - (0.75 \cdot {1.25}^{3})}{12}

Next Step Evaluate

∴

J xx = 1.22459602m⁴

LAST Step Rounding Answer

∴

J xx = 1.2246m⁴

Moment of Inertia of Hollow Rectangle about Centroidal Axis x-x Parallel to Breadth 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: J_xx

Measurement: Second Moment of AreaUnit: m⁴

Note: Value should be greater than 0.

Formulas to find Moment of Inertia about x-x axis

Breadth of Rectangular Section

Breadth of Rectangular Section is the shortest length.

Symbol: B

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Breadth of Rectangular Section

Length of Rectangular Section

Length of Rectangular Section is the total distance from one end to other end, length is the longest side of rectangle.

Symbol: L_rect

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Length of Rectangular Section

Inner Breadth of Hollow Rectangular Section

Inner Breadth of Hollow Rectangular Section is the shorter breadth of the rectangle.

Symbol: B_i

Measurement: LengthUnit: m

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 shorter length of the rectangle.

Symbol: L_i

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Inner Length of Hollow Rectangle

Other Formulas to find Moment of Inertia about x-x axis

Go Moment of inertia of rectangle about centroidal axis along x-x parallel to breadth

J xx = B \cdot (\frac{{L rect}^{3}}{12})

Go Moment of inertia of triangle about centroidal axis x-x parallel to base

J xx = \frac{b tri \cdot {H tri}^{3}}{36}

Other formulas in Moment of Inertia in Solids category

Go Moment of inertia of rectangle about centroidal axis along y-y parallel to length

J yy = L rect \cdot \frac{B^{3}}{12}

Go Moment of inertia of hollow circle about diametrical axis

I s = (\frac{π}{64}) \cdot ({d c}^{4} - {d i}^{4})

Go Moment of inertia of semicircular section about its base

I s = 0.393 \cdot {r sc}^{4}

Go Moment of inertia of semicircular section through center of gravity, parallel to base

I s = 0.11 \cdot {r sc}^{4}

How to Evaluate Moment of Inertia of Hollow Rectangle about Centroidal Axis x-x Parallel to Breadth?

Moment of Inertia of Hollow Rectangle about Centroidal Axis x-x Parallel to Breadth evaluator uses Moment of Inertia about x-x axis = ((Breadth of Rectangular Section*Length of Rectangular Section^3)-(Inner Breadth of Hollow Rectangular Section*Inner Length of Hollow Rectangle^3))/12 to evaluate the Moment of Inertia about x-x axis, Moment of Inertia of Hollow Rectangle about Centroidal Axis x-x Parallel to Breadth formula is defined as the 1/12 times of difference in product of breadth, cube of length and product of inner breadth, cube of inner length. Moment of Inertia about x-x axis is denoted by J_xx symbol.

How to evaluate Moment of Inertia of Hollow Rectangle about Centroidal Axis x-x Parallel to Breadth using this online evaluator? To use this online evaluator for Moment of Inertia of Hollow Rectangle about Centroidal Axis x-x Parallel to Breadth, enter Breadth of Rectangular Section (B), Length of Rectangular Section (L_rect), Inner Breadth of Hollow Rectangular Section (B_i) & Inner Length of Hollow Rectangle (L_i) and hit the calculate button.

FAQs on Moment of Inertia of Hollow Rectangle about Centroidal Axis x-x Parallel to Breadth

What is the formula to find Moment of Inertia of Hollow Rectangle about Centroidal Axis x-x Parallel to Breadth?

The formula of Moment of Inertia of Hollow Rectangle about Centroidal Axis x-x Parallel to Breadth is expressed as Moment of Inertia about x-x axis = ((Breadth of Rectangular Section*Length of Rectangular Section^3)-(Inner Breadth of Hollow Rectangular Section*Inner Length of Hollow Rectangle^3))/12. Here is an example- 1.224596 = ((1.99*2.01^3)-(0.75*1.25^3))/12.

How to calculate Moment of Inertia of Hollow Rectangle about Centroidal Axis x-x Parallel to Breadth?

With Breadth of Rectangular Section (B), Length of Rectangular Section (L_rect), Inner Breadth of Hollow Rectangular Section (B_i) & Inner Length of Hollow Rectangle (L_i) we can find Moment of Inertia of Hollow Rectangle about Centroidal Axis x-x Parallel to Breadth using the formula - Moment of Inertia about x-x axis = ((Breadth of Rectangular Section*Length of Rectangular Section^3)-(Inner Breadth of Hollow Rectangular Section*Inner Length of Hollow Rectangle^3))/12.

What are the other ways to Calculate Moment of Inertia about x-x axis?

Here are the different ways to Calculate Moment of Inertia about x-x axis-

Moment of Inertia about x-x axis=Breadth of Rectangular Section*(Length of Rectangular Section^3/12)
Moment of Inertia about x-x axis=(Base of Triangle*Height of Triangle^3)/36

Can the Moment of Inertia of Hollow Rectangle about Centroidal Axis x-x Parallel to Breadth be negative?

Yes, the Moment of Inertia of Hollow Rectangle about Centroidal Axis x-x Parallel to Breadth, measured in Second Moment of Area can be negative.

Which unit is used to measure Moment of Inertia of Hollow Rectangle about Centroidal Axis x-x Parallel to Breadth?

Moment of Inertia of Hollow Rectangle about Centroidal Axis x-x Parallel to Breadth is usually measured using the Meter⁴[m⁴] for Second Moment of Area. Centimeter⁴[m⁴], Millimeter⁴[m⁴] are the few other units in which Moment of Inertia of Hollow Rectangle about Centroidal Axis x-x Parallel to Breadth can be measured.

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Moment of Inertia of Hollow Rectangle about Centroidal Axis x-x Parallel to Breadth Formula

​GoMoment of inertia of rectangle about centroidal axis along x-x parallel to breadth Formula

​GoMoment of inertia of triangle about centroidal axis x-x parallel to base Formula

Moment of Inertia of Hollow Rectangle about Centroidal Axis x-x Parallel to Breadth Example

Moment of Inertia of Hollow Rectangle about Centroidal Axis x-x Parallel to Breadth Solution

Moment of Inertia of Hollow Rectangle about Centroidal Axis x-x Parallel to Breadth Formula Elements

Other Formulas to find Moment of Inertia about x-x axis

Other formulas in Moment of Inertia in Solids category

How to Evaluate Moment of Inertia of Hollow Rectangle about Centroidal Axis x-x Parallel to Breadth?

FAQs on Moment of Inertia of Hollow Rectangle about Centroidal Axis x-x Parallel to Breadth

Variable Name

GoMoment of inertia of rectangle about centroidal axis along x-x parallel to breadth Formula

GoMoment of inertia of triangle about centroidal axis x-x parallel to base Formula