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Area Moment of inertia of rectangular cross-section along centroidal axis parallel to length Formula

GoArea Moment of Inertia of specimen given bending moment and bending stress Formula

GoArea Moment of inertia of rectangular cross-section along centroidal axis parallel to breadth Formula

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Area Moment of Inertia is a property of a two-dimensional plane shape that characterizes its deflection under loading. Check FAQs

I = \frac{(L^{3}) \cdot b}{12}

I - Area Moment of Inertia?L - Length of rectangular section?b - Breadth of rectangular section?

Area Moment of inertia of rectangular cross-section along centroidal axis parallel to length Example

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Here is how the Area Moment of inertia of rectangular cross-section along centroidal axis parallel to length equation looks like with Values.

Here is how the Area Moment of inertia of rectangular cross-section along centroidal axis parallel to length equation looks like with Units.

Here is how the Area Moment of inertia of rectangular cross-section along centroidal axis parallel to length equation looks like.

50810.4167 = \frac{(29^{3}) \cdot 25}{12}

50810.4167mm⁴ = \frac{({29mm}^{3}) \cdot 25mm}{12}

50810.4167 = \frac{(29^{3}) \cdot 25}{12}

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Area Moment of inertia of rectangular cross-section along centroidal axis parallel to length Solution

Follow our step by step solution on how to calculate Area Moment of inertia of rectangular cross-section along centroidal axis parallel to length?

FIRST Step Consider the formula

I = \frac{(L^{3}) \cdot b}{12}

Next Step Substitute values of Variables

∴

I = \frac{({29mm}^{3}) \cdot 25mm}{12}

Next Step Convert Units

∴

I = \frac{({0.029m}^{3}) \cdot 0.025m}{12}

Next Step Prepare to Evaluate

∴

I = \frac{({0.029}^{3}) \cdot 0.025}{12}

Next Step Evaluate

∴

I = 5.08104166666667E-08m⁴

Next Step Convert to Output's Unit

∴

I = 50810.4166666667mm⁴

LAST Step Rounding Answer

∴

I = 50810.4167mm⁴

Area Moment of inertia of rectangular cross-section along centroidal axis parallel to length Formula Elements

Variables

Area Moment of Inertia

Area Moment of Inertia is a property of a two-dimensional plane shape that characterizes its deflection under loading.

Symbol: I

Measurement: Second Moment of AreaUnit: mm⁴

Note: Value should be greater than 0.

Formulas to find Area Moment of Inertia

Length of rectangular section

length of rectangular section is the measurement or extent of the rectangular cross-section of the specimen from end to end.

Symbol: L

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Length of rectangular section

Breadth of rectangular section

Breadth of rectangular section is the measurement or extent of the rectangular cross-section of the specimen from side to side.

Symbol: b

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Breadth of rectangular section

Other Formulas to find Area Moment of Inertia

Go Area Moment of Inertia of specimen given bending moment and bending stress

I = \frac{M b \cdot y}{σ b}

Go Area Moment of inertia of rectangular cross-section along centroidal axis parallel to breadth

I = \frac{b \cdot (L^{3})}{12}

Go Area Moment of Inertia of Circular Cross-Section about Diameter

I = π \cdot \frac{{d c}^{4}}{64}

Other formulas in Stresses due to Bending Moment category

Go Bending stress in specimen due to bending moment

σ b = \frac{M b \cdot y}{I}

Go Bending moment in specimen given bending stress

M b = \frac{σ b \cdot I}{y}

How to Evaluate Area Moment of inertia of rectangular cross-section along centroidal axis parallel to length?

Area Moment of inertia of rectangular cross-section along centroidal axis parallel to length evaluator uses Area Moment of Inertia = ((Length of rectangular section^3)*Breadth of rectangular section)/12 to evaluate the Area Moment of Inertia, The Area Moment of inertia of rectangular cross-section along centroidal axis parallel to length formula is defined as the quantityFormula name and def updated expressing a body's tendency to resist angular acceleration, which is the sum of the products of the mass of each particle in the body with the square of its distance from the axis of rotation. Area Moment of Inertia is denoted by I symbol.

How to evaluate Area Moment of inertia of rectangular cross-section along centroidal axis parallel to length using this online evaluator? To use this online evaluator for Area Moment of inertia of rectangular cross-section along centroidal axis parallel to length, enter Length of rectangular section (L) & Breadth of rectangular section (b) and hit the calculate button.

FAQs on Area Moment of inertia of rectangular cross-section along centroidal axis parallel to length

What is the formula to find Area Moment of inertia of rectangular cross-section along centroidal axis parallel to length?

The formula of Area Moment of inertia of rectangular cross-section along centroidal axis parallel to length is expressed as Area Moment of Inertia = ((Length of rectangular section^3)*Breadth of rectangular section)/12. Here is an example- 5.1E+16 = ((0.029^3)*0.025)/12.

How to calculate Area Moment of inertia of rectangular cross-section along centroidal axis parallel to length?

With Length of rectangular section (L) & Breadth of rectangular section (b) we can find Area Moment of inertia of rectangular cross-section along centroidal axis parallel to length using the formula - Area Moment of Inertia = ((Length of rectangular section^3)*Breadth of rectangular section)/12.

What are the other ways to Calculate Area Moment of Inertia?

Here are the different ways to Calculate Area Moment of Inertia-

Area Moment of Inertia=(Bending Moment*Distance from Neutral Axis of Curved Beam)/Bending Stress
Area Moment of Inertia=(Breadth of rectangular section*(Length of rectangular section^3))/12
Area Moment of Inertia=pi*(Diameter of circular section of shaft^4)/64

Can the Area Moment of inertia of rectangular cross-section along centroidal axis parallel to length be negative?

No, the Area Moment of inertia of rectangular cross-section along centroidal axis parallel to length, measured in Second Moment of Area cannot be negative.

Which unit is used to measure Area Moment of inertia of rectangular cross-section along centroidal axis parallel to length?

Area Moment of inertia of rectangular cross-section along centroidal axis parallel to length is usually measured using the Millimeter⁴[mm⁴] for Second Moment of Area. Meter⁴[mm⁴], Centimeter⁴[mm⁴] are the few other units in which Area Moment of inertia of rectangular cross-section along centroidal axis parallel to length can be measured.

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Area Moment of inertia of rectangular cross-section along centroidal axis parallel to length Formula

​GoArea Moment of Inertia of specimen given bending moment and bending stress Formula

​GoArea Moment of inertia of rectangular cross-section along centroidal axis parallel to breadth Formula

Area Moment of inertia of rectangular cross-section along centroidal axis parallel to length Example

Area Moment of inertia of rectangular cross-section along centroidal axis parallel to length Solution

Area Moment of inertia of rectangular cross-section along centroidal axis parallel to length Formula Elements

Other Formulas to find Area Moment of Inertia

Other formulas in Stresses due to Bending Moment category

How to Evaluate Area Moment of inertia of rectangular cross-section along centroidal axis parallel to length?

FAQs on Area Moment of inertia of rectangular cross-section along centroidal axis parallel to length

Variable Name

GoArea Moment of Inertia of specimen given bending moment and bending stress Formula

GoArea Moment of inertia of rectangular cross-section along centroidal axis parallel to breadth Formula