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

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

GoMoment of Inertia of Hollow Rectangle about Centroidal Axis x-x Parallel to Breadth 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 tri \cdot {H tri}^{3}}{36}

J_xx - Moment of Inertia about x-x axis?b_tri - Base of Triangle?H_tri - Height of Triangle?

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

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Here is how the Moment of inertia of triangle about centroidal axis x-x parallel to base equation looks like with Values.

Here is how the Moment of inertia of triangle about centroidal axis x-x parallel to base equation looks like with Units.

Here is how the Moment of inertia of triangle about centroidal axis x-x parallel to base equation looks like.

1.124 = \frac{2.82 \cdot {2.43}^{3}}{36}

1.124m⁴ = \frac{2.82m \cdot {2.43m}^{3}}{36}

1.124 = \frac{2.82 \cdot {2.43}^{3}}{36}

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

Follow our step by step solution on how to calculate Moment of inertia of triangle about centroidal axis x-x parallel to base?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

J xx = \frac{2.82m \cdot {2.43m}^{3}}{36}

Next Step Prepare to Evaluate

∴

J xx = \frac{2.82 \cdot {2.43}^{3}}{36}

Next Step Evaluate

∴

J xx = 1.123997715m⁴

LAST Step Rounding Answer

∴

J xx = 1.124m⁴

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

Base of Triangle

Base of Triangle is one side in a triangle.

Symbol: b_tri

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Base of Triangle

Height of Triangle

The Height of Triangle is the length of the altitude from the opposite vertex to that base.

Symbol: H_tri

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Height of Triangle

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 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}

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 triangle about centroidal axis x-x parallel to base?

Moment of inertia of triangle about centroidal axis x-x parallel to base evaluator uses Moment of Inertia about x-x axis = (Base of Triangle*Height of Triangle^3)/36 to evaluate the Moment of Inertia about x-x axis, Moment of inertia of triangle about centroidal axis x-x parallel to base formula is defined as the 1/36 times of product of base of triangle and cube of the height of the triangle. Moment of Inertia about x-x axis is denoted by J_xx symbol.

How to evaluate Moment of inertia of triangle about centroidal axis x-x parallel to base using this online evaluator? To use this online evaluator for Moment of inertia of triangle about centroidal axis x-x parallel to base, enter Base of Triangle (b_tri) & Height of Triangle (H_tri) and hit the calculate button.

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

What is the formula to find Moment of inertia of triangle about centroidal axis x-x parallel to base?

The formula of Moment of inertia of triangle about centroidal axis x-x parallel to base is expressed as Moment of Inertia about x-x axis = (Base of Triangle*Height of Triangle^3)/36. Here is an example- 1.123998 = (2.82*2.43^3)/36.

How to calculate Moment of inertia of triangle about centroidal axis x-x parallel to base?

With Base of Triangle (b_tri) & Height of Triangle (H_tri) we can find Moment of inertia of triangle about centroidal axis x-x parallel to base using the formula - Moment of Inertia about x-x axis = (Base of Triangle*Height of Triangle^3)/36.

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=((Breadth of Rectangular Section*Length of Rectangular Section^3)-(Inner Breadth of Hollow Rectangular Section*Inner Length of Hollow Rectangle^3))/12

Can the Moment of inertia of triangle about centroidal axis x-x parallel to base be negative?

Yes, the Moment of inertia of triangle about centroidal axis x-x parallel to base, measured in Second Moment of Area can be negative.

Which unit is used to measure Moment of inertia of triangle about centroidal axis x-x parallel to base?

Moment of inertia of triangle about centroidal axis x-x parallel to base 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 triangle about centroidal axis x-x parallel to base can be measured.

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

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

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

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

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

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

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

Variable Name

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

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