Page 665 - APPLIED PROCESS DESIGN FOR CHEMICAL AND PETROCHEMICAL PLANTS, Volume 1, 3rd Edition

A-24. A-24.
( Continued). (Continued).

PROPERTIES OF SECTIONS PROPERTIES OF SECTIONS

TRAPEZOID
Axis of momenb through PARABOLA
center of gravity 4
d(b+b,)
A - --2- 2 A m 3 ab
2
-r e d(2b + b1) T7, m - sa
3(b + b,)
a
c d• (b• + 4 bb1 + b1•) •t- 16
--+--- -T1
_j__ 36 (b + b,) -'----.- 1 •• - 175 a•b
4
s d• (bl + 4 bb, + b,•) 3..:l'... --+ -'L •• - ,s":ib•
12 (2b + b,) l<-b-
! 2 la 32 lb
r 6(b b,) ..J 2 (b• +4 bbt + bt•) - 105 a
----·--------- -·
2
HALF PARABOLA A - 3 ab
CIRCLE
r··n-
T."dl - 2 4 - ?.
Axis of moments A a _4 .. a -..:R2 .785398 di • 3,141593R• m sa
through center - 3
d
c T - R I n -8-b
c -r.d• 1:R• - a 11 8 •b
.1 - 64 - -4- � ,049087 d• ,785398 R• , . ·--r• ,. - 175 a
�-�- ab•
,:R>
s - 32 - -4- - .098175 d• .. .785398 R• 3 ..'.L - -+---.....---+- _ _j_ 3 - 480
"'d•
16 lb
d R •• - 105 a
4 - T -b--
4 �ab•
•• - 15
HOLLOW CIRCLE COMPLEMENT OF HALF
PARABOLA 1
Axis of moments A - - .785398 (d•-d,•) A 3 ab
through center
d -
G 7
2 m Toa
,(d -d, 4) - .049087 (d•-d,•)
4
64 n .!. b
4
4
s ,(d -d,•) .098175 d•-d.• 37 •b
32d d la - 2100 a
..J-d•+d,• 1
- ··--4-- la ab•
--b-- - 80
------
HALF CIRCLE PARABOLIC FILLET IN t
Axia of moments through 1.570796 R• RIGHT ANGLE &I 2...J·£
2
center of gravity c R (1-�) .575587 R -. r-m t
--§I R• ---- .109757 R• A -;;z:
b
3�
8 )
(
r
8
9�
�ti
6
24 (3.,-4)
4 t
......
--d-- s R• (9T.•-64) ,190687 R• m - n T m
R ,J-9-;,� ,264336 R 11 t• 01
6,-; '• la Hoo