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

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

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

J_yy - Moment of Inertia about y-y axis?L_rect - Length of Rectangular Section?B - Breadth of Rectangular Section?

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

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Here is how the Moment of inertia of rectangle about centroidal axis along y-y parallel to length equation looks like with Values.

Here is how the Moment of inertia of rectangle about centroidal axis along y-y parallel to length equation looks like with Units.

Here is how the Moment of inertia of rectangle about centroidal axis along y-y parallel to length equation looks like.

1.32 = 2.01 \cdot \frac{{1.99}^{3}}{12}

1.32m⁴ = 2.01m \cdot \frac{{1.99m}^{3}}{12}

1.32 = 2.01 \cdot \frac{{1.99}^{3}}{12}

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

Follow our step by step solution on how to calculate Moment of inertia of rectangle about centroidal axis along y-y parallel to length?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

J yy = 2.01m \cdot \frac{{1.99m}^{3}}{12}

Next Step Prepare to Evaluate

∴

J yy = 2.01 \cdot \frac{{1.99}^{3}}{12}

Next Step Evaluate

∴

J yy = 1.3200003325m⁴

LAST Step Rounding Answer

∴

J yy = 1.32m⁴

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

Variables

Moment of Inertia about y-y axis

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

Symbol: J_yy

Measurement: Second Moment of AreaUnit: m⁴

Note: Value should be greater than 0.

Formulas to find Moment of Inertia about y-y axis

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

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

Other formulas in Moment of Inertia in Solids category

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 Hollow Rectangle about Centroidal Axis x-x Parallel to Breadth

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

Go Moment of inertia of hollow circle about diametrical axis

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

How to Evaluate Moment of inertia of rectangle about centroidal axis along y-y parallel to length?

Moment of inertia of rectangle about centroidal axis along y-y parallel to length evaluator uses Moment of Inertia about y-y axis = Length of Rectangular Section*(Breadth of Rectangular Section^3)/12 to evaluate the Moment of Inertia about y-y axis, Moment of inertia of rectangle about centroidal axis along y-y parallel to length formula is defined as the product of length of rectangle and cube of breadth of rectangle divided by 12. Moment of Inertia about y-y axis is denoted by J_yy symbol.

How to evaluate Moment of inertia of rectangle about centroidal axis along y-y parallel to length using this online evaluator? To use this online evaluator for Moment of inertia of rectangle about centroidal axis along y-y parallel to length, enter Length of Rectangular Section (L_rect) & Breadth of Rectangular Section (B) and hit the calculate button.

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

What is the formula to find Moment of inertia of rectangle about centroidal axis along y-y parallel to length?

The formula of Moment of inertia of rectangle about centroidal axis along y-y parallel to length is expressed as Moment of Inertia about y-y axis = Length of Rectangular Section*(Breadth of Rectangular Section^3)/12. Here is an example- 1.32 = 2.01*(1.99^3)/12.

How to calculate Moment of inertia of rectangle about centroidal axis along y-y parallel to length?

With Length of Rectangular Section (L_rect) & Breadth of Rectangular Section (B) we can find Moment of inertia of rectangle about centroidal axis along y-y parallel to length using the formula - Moment of Inertia about y-y axis = Length of Rectangular Section*(Breadth of Rectangular Section^3)/12.

Can the Moment of inertia of rectangle about centroidal axis along y-y parallel to length be negative?

No, the Moment of inertia of rectangle about centroidal axis along y-y parallel to length, measured in Second Moment of Area cannot be negative.

Which unit is used to measure Moment of inertia of rectangle about centroidal axis along y-y parallel to length?

Moment of inertia of rectangle about centroidal axis along y-y parallel to length 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 rectangle about centroidal axis along y-y parallel to length can be measured.

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

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

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

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

Other formulas in Moment of Inertia in Solids category

How to Evaluate Moment of inertia of rectangle about centroidal axis along y-y parallel to length?

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

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