HP 48GII

5-48 Equation Reference
Cylinder (12, 2)
Equations:
V π r
2
h⋅⋅=
A2π r
2
⋅⋅ 2 π rh⋅⋅⋅+=
Ixx
1
4
---
mr
2
⋅⋅
1
12
------
mh
2
⋅⋅+=
Izz
1
2
---
mr
2
⋅⋅=
Id Ixx m d
2
⋅+=
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:
Vbht⋅⋅=
A2bh⋅ bt⋅ ht⋅++()⋅=
I
1
12
------
m⋅ h
2
t
2
+()=
Id I m d
2
⋅+=
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.