Page 177 - Standard Handbook Of Petroleum & Natural Gas Engineering

162 General Engineering and Science

Table 2-7

AREA MOMENTS
FIGURE CENTROID OF INERTIA

- rsina
Arc Segment r=-
\ a
\
Quarter and Semicirmlar Arcs

y-a--- I =- bh’
Y T”’ - a+b I 1.2
xx-
I 3
TriangularArea I - - bh3
I =-
h
-
Y =3 36
I =- bh’
Lb-’ ‘I 4
bh’
I =-
x 3
+ xo = 12
-
Rectangular Area I =- bh3
__
- bh
J= - (bz + hz)
12
r4 1 .
I, =-(a --sin 2a)
4 2
r‘ 1 ,
I, =-((a+-sin2a)
4 2
1
J=-r4a
2
IY
I
Quarter Circular -
Area 4L.c

SOURCE: Meriam pp. 498-499.