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Moment of Inertia: Basic Shapes from the MOI Table
Use a table of properties to find the Area Moment of inertia for simple shapes: rectangle, triangle, circle, semicircle, and quarter circle.
The parallel axis theorem is not required for any of these shapes. One situation requires subtracting a triangle from a rectangle however.
Distinguish between centroidal and non-centroidal moments of inertia.
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William Haynes
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said | Ready to use | 4 years, 7 months ago |
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| Name | Type | Generated Value |
|---|
| h | integer |
-3
|
||||
| r | integer |
7
|
||||
| b | integer |
7
|
||||
| index | integer |
2
|
||||
| units | quantity |
quantity(1, "m")
|
||||
| Z | integer |
8
|
| Name | Type | Generated Value |
|---|
| shape | string |
rectangle
|
||||
| dimensions | string |
$\var{abs(b units)} \times \va
|
||||
| isCircular | boolean |
false
|
| Name | Type | Generated Value |
|---|
| Ix | quantity |
quantity(63, "m^4")
|
||||
| PIR4 | quantity |
quantity(7542.963961269093488, "m^4")
|
||||
| bh3 | quantity |
quantity(189, "m^4")
|
||||
| hb3 | quantity |
quantity(1029, "m^4")
|
||||
| Iy | quantity |
quantity(343, "m^4")
|
||||
| centroidalaxis | list |
[ 0, 0, 0, 10 ]
|
||||
| x | list |
[ 10, 0, 0, 0 ]
|
||||
| y | list |
[ 0, 10, 0, 0 ]
|
||||
| both | list |
[ 0, 0, 10, 0 ]
|
||||
| neither | list |
[ 0, 0, 0, 10 ]
|
| Name | Type | Generated Value |
|---|
| applet | string |
applet()
|
Generated value: integer
- bh3
- dimensions
- hb3
- Statement
- Variable testing condition
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