Reference Guide

5-48 Equation Reference
Cylinder (12, 2)
Equations:
V π r
2
h⋅ ⋅=
A 2 π r
2
⋅ ⋅ 2 π r h⋅ ⋅ ⋅+=
Ixx
1
4
---
m r
2
⋅ ⋅
1
12
------
m h
2
⋅ ⋅+=
Izz
1
2
---
m r
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:
V b h t⋅ ⋅=
A 2 b h⋅ b t⋅ h t⋅+ +( )⋅=
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.