Question
Download Solution PDFThe moment of inertia of a rectangle of base b, and height h, about the base of the rectangle is:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFExplanation:
The moment of inertia (I) of a rectangle about its base is given by the formula:
I = \( \frac{b h^3}{3}\)
\(b\) is the base width of the rectangle,
\(h\) is the height of the rectangle.
MOI of Some Standard Shapes:
|
Type of Shape |
Moment of Inertia |
|
Rectangle |
\({I_{xx}} = \frac{{b{h^3}}}{{12}},\;\;{I_{yy}} = \frac{{h{b^3}}}{{12}}\) |
|
Triangle |
\({I_{C.G}} = \frac{{b{h^3}}}{{36}}\;,\;{I_{base}} = \frac{{b{h^3}}}{{12}}\) |
|
Circle |
\({I_{xx}} = {I_{yy}} = \frac{\pi }{{64}}{d^4}\) |
|
Semicircle |
\({I_{xc}} = 0.393{r^4}\;,\;\;\;{I_{yc}} = 0.11{r^4}\) |
Last updated on Jun 4, 2025
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