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Area Moment of Inertia of a Filled Rectangle about a Centroidal Axis

The second moment of area, also known as moment of inertia of a plane area, area moment of inertia or second area moment, is a geometrical property of an area that reflects how its points are distributed with regard to an arbitrary axis.

The second moment of area for a filled rectangle equals the product of the base and height to the third power divided by 12.

Formula

QuantityVariable["J", "SecondMomentOfArea"] == (QuantityVariable["B", "Length"]*QuantityVariable["H", "Height"]^3)/12

symbol description physical quantity
J second moment of area "SecondMomentOfArea"
B base "Length"
H height "Height"

Forms

Examples

Get the resource:

In[1]:=
ResourceObject["Area Moment of Inertia of a Filled Rectangle about a \ Centroidal Axis"]
Out[1]=

Get the formula:

In[2]:=
FormulaData[ ResourceObject[ "Area Moment of Inertia of a Filled Rectangle about a Centroidal \ Axis"]]
Out[2]=

Use some values:

In[3]:=
FormulaData[ ResourceObject[ "Area Moment of Inertia of a Filled Rectangle about a Centroidal \ Axis"], {QuantityVariable["B","Length"] -> Quantity[1, "Meters"], QuantityVariable["H","Height"] -> Quantity[1, "Meters"]}]
Out[3]=

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