Cylinder (12, 2)
Equations:
V = π ⋅ r2 ⋅ h |
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| A = 2 ⋅ π ⋅ r2 + 2 ⋅ π ⋅ r ⋅ h | |||||||
Ixx = | 1 | ⋅ m ⋅ r | 2 | 1 | ⋅ m ⋅ h | 2 | Izz = | 1 | ⋅ m ⋅ r | 2 |
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| 12 |
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| 2 |
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Id = Ixx + m ⋅ d2
Example:
Given: r=8.5_in, h=65_in, m=12000_lbs, d=2.5_in.
Solution: V=14753.7045_in^3, A=3925.4200_in^2, Izz=4441750_lb∗in^2, Izz=433500_lb∗in^2,
Id=4516750_lb∗in^2.
Parallelepiped (12, 3)
Equations:
V = b ⋅ h ⋅ t
I = | 1 | ⋅ m(h | 2 | + t | 2 | ) |
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| 12 |
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A= 2 ⋅ ( b ⋅ h + b ⋅ t + h ⋅ t) Id = I + m ⋅ d2
Example:
Given: b=36_in, h=12_in, t=72_in, m=83_lb, d=7_in.
Solution: V=31104_in^3, A=7776_IN^2, I=36852_lb∗in^2, Id=40919_lb∗in^2.