Welding Formulas and Tables

WELDING
FORMULAS
AND TABLES
'for
STRUCTURAL
and MECHANICAL
ENGINEERS
and PIPE SUPPORT
DESIGNERS
I.V.I. Structural Design Service
Portland
Oregon
Second Edition
1ELIM PORMLAS and TA= for Structural and Mechanical
Dineers and Pipe Support Designers
by T.S. Hobert
Sad time saving tables for the
The Manual contains foanmh
for structural
design of welded structures and rye
ers and students
s
suuno
vivo
and mechai engneers,
dsign.
'struntral
of
baaies
the
with
familiar
Notices
Althoug this saoal is based on the best available knowledae
and
it must not be used without independent examination
verification of its suitability by a licensed structural
be
only
can
tdbles
and
engineer. The use of these formulas
Structural Design Servl:
made with understanding that "I..I.
the us
makes no warranty of any kind respecting such use and
assmses all liability arising therefrom.
Published by I.V.I. Structural Design Serrice.
7943 S.V. 36th Portland Oregon 97219
scheduled to
watch for the following I.T.I. publications
come out:
of:
Formulas and tables for the design and calculation
-
beas
-
frames
- deflections
- torsion
- and the math formula
booklet.
De-ign Serrice
Copyright Oj 1983 by I.Y.I. Structural
may be
All Right, Rsserved. 1o part of this publication
the pr!
used or reproduced in any manner whatsoever without
written permission of the publisher.
Printed in the United States of America.
treating as a line . .
2
- straidht lines patterns (formulas 1 - 23) . . . .
2
- angles (formlae 24 - 28) . . . . . . . . . . . .
6
I. Formulas for weld propertie
-
chaimels (formulas 29 -
32)
.
.
.
.
.
.
.
.
- V and T sbapes (formlas 33 - 4))
. . . . .
- structural tubing (formulae 49'-
51)
-
oircular welds
-
ellipse
(formula
(formula 71).
.
.
.
7
...
. . . . . . 11
52 - 70) . . . . . . . . 12
.
. . . . . . . 16
. . . ...
II. Weld properties of any plane pattern
. .
. 17
. .
III. Propdrties of three-diensional weld
(straight lines)
IV.
Welding
. . . . . .
. . . . . . . . . . . 21
of structural tubing
. . . . . . . . . . . 23
V. Weld stress for various weld patterns . . . . . . . 25
VI.
Three-dImenional weld strees .
. .
. . . . . . . . 31
VII. Tables of allowable loads fort
Table 1, Fillet weld
.
. . . . . . . . . . . . . . 34
Table 2, Flare bevel weld . . . .
35
VIII. Tables of weld properties treating as a line
for seleoted structural abapes
Table 3, Parallel welds . . . . . . . . . . . . . . 38
Table 4, Square and rectangular welds . . . . . . . 39
Table 5, Circumferential welds
. . . . . ...
..
40
Tables 6-13, For angles . . . . . . . . . . . . ..41
Tables 14-16, For nhamels
. . . . . . . . . . . . 54
Tables 17-18,
For M and M shapes
Tables 19-22,
For structural tubings
Table 23, For trimed round bars
...... ... .
57
. . . . . . .61
. . . . . . . . . 68
(5)vwlds
PROPErTIE
)
+ 2a2
b(5I.-
--
- -
F-01'
rtation--.
abown (in)(cm)
a,b,d etc. - linear dimensions as
L - area (length) of weld (in)(cm)
org - distances to center of grwvIty (in)(om)
)3(cmS)
Ix, l - moments of inertia (
Sx, Sy - section modulus (in )(amp)
3
3
inertia (fn )(o )
fit
1 - polr(mi
welds
1 - 5a + b;
L - 6b;
I
where J or S are not shown they can be found as J - Ix + Iy
7..
b2 + 35a2)
-
(n) odd
welds
L-
1 - a(n - 1) + b;
nb;
1
- distance from e.g. to, the extreme fiber
o
(6)
6.
.0174533)
angle (radian) (i radian - -'
8-
S -
1-4a+b;
L=5b
QF VILD TREATED AS A LIM5
-
-
-- +
b2 + a2(n2
I -
0
-;a
)
a(y
}-o
1..
n
X-4-
Y
L - 1i7s
=
_
2.
a
)
elds
-
welds
d136
(3) welds
L.-
3b;
b
~
d(n
1x 0u
(n
9.
pairs of welds
-alb
-.-.
(4) welds
L - 4b;
--
5x
i
-
1 - 2a + b;
Y
10.
- bent
+ 2a b
X
+
I -
3a
+ b
11.
x
-1
1 oo,2L
13
121
Sy 120
i
_
=
1
1
-
3
4
-
2
2
13sin A
L
Y
L
-T
+ S.
b
- 2;
Ix
6(b2 ,
--
-3-2-
2
1) 1d2 + a n(n - 2)
+ '
I. TSI
4.
b;
L - 2nb; ly - 21;
(Where I from formulas 7,8)
L
I
a-
d_
b
.......
1 - a(n - 1) + bi d -
L - nbI
Ib
d f b
3.
1 - a + b;
L = I - d - 2M
XI +y
(n) even
B.
y' - la2
+ 162d
13 - 4
1
-
=
-
_ _'_
12
13
-
-
- On
;
--
-
y -
2
3d );
Sr -
bd;
Sy -
1d£
2.
_ I+
X
-.
1
h
j
( te )
ad
gzb
ba
.Y
+b+7
2
-0
3
y - - ' a
+,
X
2&2
-~Ic
1
-
,(~)
(
z Sy -+
i *1
t
i
+
sxi2
-3 _i
2 S' -
4-,
X
I!~~~ - 21; ( +i 3d)
+
S=
14.
-
b+d
S7 -Dd
i
21.
L =
-.
6
,
(
+ b
(
2
) Is
- +(
V+ a
y-
r
2
I
) I
L 4 (B - b );
-
x7
+b
Ix*
"
'
- 9 3 -
2
I-
2
Sa2(b4)
2 3.d
2
4 ) -
I
3
D
3
6
Si
23.-b
17.
L (-
b
a 2A
3
16
'3 ?
I ' t .16 & 3
.a
.12-S
b4'1Xsz
8x I x -
-
L
15 .Y
1I-
b)~
y-252
1XiS
)
+-
-
o
3i
2it
xt.
I
- b
)
x°
(
3
~
J « 12 3 a
3
24.
L =b + dl
'.
7
d
i
it
24
-
z-
Bzb 6 ( b+ d
I
25.~
7
+-7 I7+~J ox
28.. L 2(b(4d -
).
b toy
t
-
+ d +2w
-
Ly
f
Bz - (4 . ) _zt-
.
oy
@7....
+...
+
t
2
2.L.2+
Tr "
+ox(b +4d)
b2(+
uyl
-t)2 +i (b
.k.
J
ox
+)2]
+-
. 7 .D.....
$I
-
30
30.
-(i
b
L-2
x
2)
..
-w~~~I
--
--
-
-t~-
-
b +2d
xL .4b+2bo a-
-
-
---
+-) I
-
j--1
-7-
-6-
3
- (b
+(
%(b 4.b( -
o)
S
x
t)+
brW
4 2
-oz) +
Ix
+--r[(O-
cx.=-
1
2
- 2f)
-t
7(
~-
)2oxt)a.~
2w(f-)
+(-y
3
b.t) at e( - 7 t -
+d( f
It=d r +17b+d
b
17 ----
~ 2+ Ls.(
LT
f 2+2t-w)
d.4v
x
td
~2
b-2fC
.
i
c2+b+tc
+
y
ld+b
c
2
b(-t +
oz) )
36.
2-2r~d2(v)
Y
f
b
t
x=
x z - 4 2(41 + b) + 2i(4..-
)2,
t Isit
o2+ 2 b(b+o
32.b
c~-W.? a-
-
.4
2
L-(4.+b )+" .4- b-~ ti " d-
Y
3+
b2+N)
,t
X
fO
X
~
L
b
T
I -2oi
J
~
L
42
+d
~
b+
-
ox)2+
t) +
1
- )tb2
.
.
1
1-X
P -t
(
.
.
d
.
t2
2
atb+d
+(b
..
D2
3
Lx
(4.2)
t
7x -9-)
.
d)
2
-i 3
-
.
(L
X
+xd3626I 31
..
2=
6dt2
L..2(b+dt)I3
[
62
35
t3+
+ -
iti10
lt.
+ 2b(+
b(--
t
I-b-
°.4-(4a~d);
'b.
__
38.
Ox
+ d )i
d
37.
42
a
t
.b
Y
0)2+~
-;
(
b3 -
I
IT-D
d2
L=2d+b-t!
- 2d ( d2
t
o)i + ( bt
))2
+t
2=2
41.
o
b
d2
L -
-
2(b + d);
46.
X
43 +d
r
u-
{
L
xi
-1
0
2(b + u + 2w);
4
42
b3
--g- Sy--
e
a - d - 2fi
d(4
St
+ d);
Sxb -
b
4.
- t) + d2
-L
-
- t)(o - f) 2 +
(b
2w;
2b + 4w + u1
4
) -__o-
Ix - -S + bo2 +
*
+
d2
f(b +2d
bL-2(b +
b -
-
'-Tr-
*r'
3
"
a - d - 2f
e - b - 2w
S48.
L
43.
2(b +
-
-
I);
-
-r+
'3
+
2 r4
2
-r
+ ,ut
a-..$-1f7
2
.
49.
Y
L-
+
2(b+d-
T
-X+
1I
-
.86R);
+
+
a-b-2R; h - d-2R
X
'
- 4b + +d{
-
1
. -3 -63
+
50.
y
-- -1+*22x
45.
a-d-2f{
-10-
a - b - 2R{
2
Ix f-
- .iR)
Ix
-
S-
L - 2b - .861
x
t
1
R(4h+X R)]I
R
L+
44.
+ b( - 3)2 + 2w(a + ) + .02,
Ix - -.-
Ty ---
-r
L
L - b+ u + a - -
b
U_
---
*
+)+)s
e + bil S .- r + L-[ - r3
2bb
)
+
at
+
( +0 2
-
-
a-b-t{
-
11-
d
1R(-+
R( -
2
+ .024R3;
.627R)2+
1 a3
R + R(4 +%R)];
L "2b +d - .
51.
1c
1I. +r i
2.5-
SX
b-R(
6
a-b-
t
b 1h.-
'3638)
2
ilol
+
X
u
.
I -JrIt;________________
0
x
.(~~
:
-:z,2
-
" 23159
Ixr54.
.t.
-
0.
-
?r
B
1
-
ix
4 5
>e-4r,
56.
z.731
4S"
8s a 2.57ri ;
z-.0x!I
r3(e +
> -7rwS
Tirct.57,31
2
:'.Sz i
uinuJ)g
r3(20 -
17y
°1
1-
j
-
"2x3(7(-
2xinZi
.iioi-
+ .lnboo.J);
-
. r3(Tr- e -
I
" " r1
o"
- rainAI n -
L -2P(W
03r161.
,.9x
Ix a 2.57x31
4r x3
{J
-
I=' . r3(9
.637r{
,YL-*
)3
rl.
C
A
L - 2re 1 o-
32
55
run.)
-(
X60.
I
( -
-Y .. r3(20 + .in2d);
4-se
ItJ
I
L + 4z9;
L-~~~~g
)3
--
( 8-a"o.)
r
~~~~~OZ
t
"i2
Ix
L-m;
b
52.
,.9rl
0
CYL"eiI
1
5
a.285r ;
'1rily
IV 1x.285r 31
22e3+5.
bg-2~a-i
~
-
L
+SRi) jL----*'4-5--
+{~ -3r-(4h
a2
-
X
2X1
-
e+
e-
as rainS
a " raoos3
2.n24
sin2d
4
1
)
&)
sue)-~
Co -
nA
~----
62.
L
2r01
0-08
o; o~1j2!±rl 9- 0+s
YI
%1
YY
[email protected]_XIx
&r
X
r3(2.in2AMinJ-
oos12 ]t
L -0
63.
S.
2 r1
d"-
2
X.~~4L
±
r[o2
-
1- Fb-
Ix23fnSfdOJ.J
Y.L7r+2b;
23oo
(uinl +
+ sinko".
-
+
minAk'o.J
LifI'+ 2)I o ".-+ .3m#
a-h-al
X
z -
~
.;1.+I - 2baae+ra(4r +716);
-1 dr + 412);
_A-
V
+ 26)1
+____________
YL
69.
65.
.1n2L
" 0I.inA (ainJ+ 6..&)
-2
L8.
64.
' 2rusx2JJ b 2rooa*S;
1 - 2oos
- .. *L:#1 + 021u
1
~
YL"4~oi
L - 2r(uinA + 2ooaaJ + 0)I b = 2rain4;
Z+67.
Is2w~~
J -2r[S-
/
r3(4.aauSJA+ uin2A+ 20)1
-
-2(o.i
.
L-r~it+2)+2bl
+ -
a
-
V
0y
k-7
+2(/
I-
d
+'--
-1
i
2aa + za(4r +91s) +
70.
2r2 + b + 1
- ind-0)1
I-o
a-h-c;
-
-14-
- k;
2 twumid14la a
L - tSr
Ix -I7
*
X
0SI
-
-15-
2
-+2
b "
-5yr(2r2 +a
-
20~-
2
)/
a
Is
J -47
31
S. 9-4*rA
x
z r3
71.
L -(r
+ r1)
rl -
PrWFROPWlTM
OF ANY
Ix
-
(
r
+
r
3
l)y
-
(3r + r1.
r-~(+r~
of veld - L(In)
Y~~..L-Jr)
L - IL
r+ r + 3rr(r + r6
x
+
sz - W
(r + 3el)1
sy -
LOr + r3
rl1
C,
dL - infinitesimal length
+ 3rrl~r + l(
CA or.92-
Xu
X,
xe
Moment
of area -
Mr-
dfL-Lys
Ry
3. Center of gravity
U
oy
f
l(in2)
-it-x
-
c(in)
- .-
4. Moment of inertia - I(in3 )
9
(,o coordinates)
fy2
Iso -
- dLl lyo -
5. Polar moment of inertia - J(in3 )
J0 - J(2+ Y+2)dL - IU. +
o
6. Product of inertia - IDy(in 3 )
Irolo
- JXo- dL
x
-
Positive in the 1st and 3rd
quadrant, and negative in the
2nd and 4th quadrant.
7. Moment of inertia about parallel
Ix - Iro +
W27 -
awis
(x,y)
oyL
Izoyo +
ly - In + cL;
ooyLi
8. Moment of Inertia about any
axis (x,y, )
I[,
-
Ty, -
Ix
oo20
Ix
sin28
J = IX + W -
lx,y,
-
-
+ iy sin26 +
xy
II,
+
Tj,
-
+(Iy
XD oo20
IV
2
oo. 0 +
-
ein29
bly sin2f
Ix)ain2Y
16 --
17 -
Lt
- dL
If weld properties have at least one axis of symasetry, Izoyo - 0
Io,
and
2
sin
Iro co28, + lye
-
sin
Io
2
T
ye
If also Iro -
+
e,
-
Find
L
r/,5
weld
2. Area of
points of
For point "b"
. 1/2; A - 26.5651
1 + 2/osA + 4 + 1.53r
- i + 2.236 + 4 + 4.712 - 11.95 in
SL
6
3. Memento of area.
-
ix - 1(-5) + 2.236(-4.5) + 4(-2) + 4.712( 2 j.5
4. Center of gravity.
in
cx -
x,
12
-
Cnt. example 1.
'-x;
) - -18.56 in
=-. 19.75 in2
6
(
cy -
(y
2
=y
I
-6.78
in
1(1.5)(-3.45) + 2.236(0)(-2.95) +
+ 4(-1)(-.45) + 4.712(1.55 + .95)(.5)
1K2
U
-
155
--
o.g.
Ii -
Dxo
in
2.236 +
- 2.5
+
3
+ .3 x 1.53 + 1(5-
-
2
68.15eos222 + 13.56sin 22 -
EI -2;
2.5-in44 -
J - 58.7
17
23
23
in 3
in3
1.7 in
ly,+i'X1
6iin
y
2 x2
4
-
- 8 z2
-0
ix
+4-5
5 +2x 4 x 2
-74.67
1.55Y2+
746
j+
46.6- n
+ 4.712(1.55 + .952 -
68.15 in'
-
58.7
Ehal. 2*
9.3
9.Emoms~eL=4x2+8-.16
95y2-
-18
3
in
3. Cheek polar me..nt of inertia.
- moents of inertia of each element about its
own c.g.'
+ 2.236(4.5 - 1.55)2 + 4(2 - 1.55)
-
Syb -
IVy -El-x-y;
- distanoes from e.g. of Weld pattern to e.g.
of an element
7
2
2. Masts of inertia.
' 47 l
Iyo
Sxb
= 22.3 in
2
2
'72 . 68.15.in 22 + 13.56cos 22 + 2.501n44 -
5. Moments of inertia'abodt
lAere Izo,
;
Weld.
,68.1
1. Product of inertia.
Fr - 1(2.5) + 2.236(1) + 4.712(1.5) - 11.8 in2
-1
3
9.2 Find Weld groperties about X2 & i2 coordinates which are
rotated 22 from original position.
Eley;
-
e-
Sy = -
81.7 in
y - distances from e.g. of weld pattern to desired
For point "a" Sx-
E11,
L -
in3
tanA
X
c9-
C,
wld.
x,
-Were
1,10,5
1)2 +
Ix + ly =
i;
SK =
7. Sections modulus.
1. Mvide weld on four sleasnts and locate
obase
lines X T with original at
0o
13.56
1(2.5 - 1)2 + 2.236(1 -
= 68.15 + 13.56 -
(Ref. forlas
houn.
properties a
J -
yo, - I
-
9. Practical way to find weld properties treating as a line
E9.1 plei
+
1)2 -
Polar moment of inertia.
Ixo - Iy
then
2+
x 2
+ 4(1)2 + 4.712(1.5 -
'yo
,+
2.2
- 19 -
%
4x2
in
2
Ixy -
a
IY,y
=0
x (-2) x (0) + 4 x 2 z 2 + 4 x 2 x (-2)
Ix ty
-
Ix,
= Iy,
=
0
PROPERTE OF TME-DDENIONAL
Sale
, but aotion modulus is different due to
Y2 z
X
au-o
1X12 13 --.
Y
-
L -
0.
0.
8.
+ -. XL
Y
X
Ix
nd
length of
l
total length (area) of weld
IT Is
X
L
- moments of inertia
of weld pattern with
respect to e.g of
weld
X2
4
origin
1 (!, - X2)2 +
- (1
4.
L
2.
X
e=y-
2
SLet:
16. 00
2.00
74. 67
74.67
g149.33
18.67
18.67
E37.m33
18.67
-(X
+
(Z +
C1 -
Z4 +
l(T,+ Y2)) 1 s 2L
I7
m
1l(Z,+
c, - y2)1
(TI + Y2 -
,1
2
U
I1(A
+a
Is -
4
4-
'hen*
IY
IZ
L-
2,22)1
CY
IX
-2 2
_
X+ XX2)i
1
00
SXB
SXT
SYL
SYR
(i,__
(Y - _ 2)2 _ + (Z,
cz=- li(X, + Xz)] _ 7
Ai
IL
CX
4.
E
(A
u*T
+ Ci)) - L(o? +
+
D))
( )J + CI)] - L(d + oa)i
4.);
- L(oi + oy);
Find properties of 3-dimensianal weld pattern with
(01(5
*(01 yHe4)(2A3)
C9
IX2-3
Z(OS)
(4,.5121(1.2)
-
-20-
e
c= ry * C*z - ***rdi**t** *f *-g£of weld pattern
X,
tJP -1
+0
t
YZX 2 12Z2
of calculation with using programmable calculator TI - 59
2
lines)
Y
different distances to extreme points.
10.
WZD (Straight
21 -
*x
amnoat
X
(1.5 - 0)2 + (0- 5)2
L -
[4.5 -
+
+
8.73(0 +
5)
8.73(7 +
0) + 8.27[1.2 +
A1 - 1.52 +
02
. 02 + 52 +
C 1 -72
Ix . -[
0
8.73
wLDING
+ 8.27 - 17.0
(TS)
OF SRUCTUTAL TiMBN
45c
/
TS to flat surface
1.14
a _
=5 1.36
00 - 2.251 A2 - 4-52 ,
C2 "1.2
+ 49) + 8.27(4 +
6
.84)]
2
vetd
1.42 + 4.5(-1.4) - 15.91
For parallel weld properties see formula 50
B2 - 22 + 22 + (-2) (2) - 4
5 - 25
5
effective
the weld
length of
(-3)1
+02+7 z0-49
8. 7 3 ( 2 5
-
- 1.28
+ 8.27 [(-2) + 21
+ 1.5
(-3)]
-
8.73(1.5 + 0) + 8.2714.5 + (-1.4-1
2r
c=
B
(7 - 0
(-1.4)12 + [(-2) - 212 + 11.2
+3
2
+1.2(-3) =6.84
tables 21, 22.
For weld all around properties
see formula 49 and tables 19,20.
-
- 17(1.282 + 1.362) - 185.9
Iy -
8.73(2.25 + 49) + 8.27(15.91 + 6.84)] -
- 17(1.142 + 1.362) - 158.3
Is -
[8.73(2.25
0.
X2
0.
Y1i
5.
Y2
b
..-.
-1.4
4. 5
2.
-2.
is
relts
(Discrepancy in te
due to more accurate caloaltion
by computer)
-3.
XI
X2
Distance between flare-betel
welds can be assumed as:
iS
Y1
Y2
ZI
d - TS -
1.2for
r
-22-
For C-weld properties see
formula 51.
1.
- 17(1.142 + 1.282) - 84.2
Same problem can be solved by using
TI - 59 programmable o0dculatorp
b
WP-31
+ 25) + 8.27(15.91 + 4)1 -
17. 01
1.14
1.28
g 1.36
185.84
158.42
84. 13
- 2t
L
CX
CY
CZ
IX
IY
IZ
d
i6R .
R or
d
TS -
N
.. am
..
.
IW.D
STRSS
FOR
VARIIUS WEW PATTERM
1. Find properties of weld pattern
Weld length an
assued ays
1 '"
1- R
Rt
R-
R1
2
haL Weld properties (L, Sa,
o
whihever is grater.
Fir
B
3
R
i-
~
1
i
2tApplied
P
- TS1 - 2tgj.t
Distamce
between
d2 . TB2
2
B2
$2
forces and
,
mets
.,. M
welds:
-
-T
J, o , on)
Fp,
(Ft, Ft,
la,
i,
MIp)
.F
- For conservative formulas use
absolute values for F and p
P
- For exact solutions consider
direction of F and M
-T2
or
MWeldstress
F4.ds
F
d . TS1
with respect to the center
3. Weld streas foranlas
R -R
o
momants
2. Determine applied forces and
of gravity of the weld
be
Mm
or
d1 = TS1 - -Mc.g. of the weld
Conservative formulas
f
____
-
[(
+
+ (ft
N
+
)2 +
)2 + (-
+
Zact solution 0
oits
y)2
+
1.2.3.4i
or,
O Of
-
fa
"
Msit
fs-
3Rr
B - TS2 -
R
o fori
-
t
o_-25-
_2-
--
-
p
f Iny
7I
in
*
-i
[cml~*
Cmerytive formula:
ft
= (f
f-
t(fp +
1.
+
[(fp
f
r
-f
- fp,)
s
+
2
+ (f,
2+
2
r P)
+
(f.
(
+ (n
C
+
M
-
r )2*
m ear tive
1pailat
-t )
+
-- In; Sn
Sn
i
t
1'
ors
-p
f-
[(r,
+
,
me
On i f.
+
r,.
r
+P)21)1
f-
4L1
'n
r¢,)2
-
1
2
23
m
f4 - fp
i
=
(f - f.)2
-
p
2
+
- f;.)
2
+ fp)
t
+
(
2
LCn;
r.-r)
+ ( f.+
M
+
U
+ (f + fn
N
rn,
=
+
f,)2 +
+
+
(fn
- fp
f
+
+
~(fn -
I
r"1P
r
~)J
P)1/
V
f )J
m0
point
""
- -. ind+ -Phio~
(-"-
~~
+ (f.
t(fp- + frI)2J1
fp2h
Hers, for Point 3
-26-
I
1'oaasi
+-f +f
+"
t )
;6
(rn
L
East soutio
+
i
.
~=--
m---
Conservative
45
+
p
(p
m
_f._ft)+(f+f92+
f
f'2-
-tn
fa; , - d
-
fa'
on
at olttw it
o f-
f
M-- S;
mm
C)]
MY
In
+ )2)
+(-
-(r
2
((-+~---
.1.
)
+_p
_________rp____F___
____f__+_ ___+_ )2_+____
(
-
t
M+
NI
I(3
-o
-
* y
JF
fne,)
+
(f
+
Cm
Ch
O
-
+ (.
)2
f
+
fn)2J
+(fn
fu.P) 2
(in -
- fp)2 +
_ f~
(
+(f.- fu)2
r. + fp)2
-27-
+ f'6)2+~
4)2 +
An
weld
comerla
atn
we oan
t
Cm
l
f-
+
+ (_
+M
EEat
+
p-
1
,
2P=
)2 + (
o
f/
+
Pi
fIn
fnn
n
net
-
z
= 165 lb
2
r4
P
and actual enrdInates or the point.
485 lb
- 1163 1b
r
Lu -nI
f - _-)W lb
,
-j~-
Pb
-7200 lb-in
(-96)(1.43) - -137
-
-58 lb
22
t1 - [(-124 + 1397 + 1163)2 + (-31 -(-28))2
+ (165 -
(-137))2
- 2468 lb/in
- 5000 lb-in
sN-
3 - -288 lb
f0ny - (-96)(.6)
20
lb - 2000 lb
PiF - -1500 lb
MA - 32000 l-in
-
f
1397
37llb
.
f-
e.6
e14 of C z10.5
with 1 retwrn
b
12.1
) +
+
a4nld
N
1
olution:
seleot a,,, mianary (or real)
with maxima distanoe frao o.g.
f2 -
[(-124
+ 1397 - 46SY + (-;1 - (-288))
+ (165 + (-58))
-
. 836 lb/in
sran table
weld
15
properies a7es
L - 12.1 in
C} .6 in; Qs - 2.03 - .6 - 1.43 in
Os - 3 in
2
8o - 22.9 in
2
a - 4.3 in
s10.5 in 2
J - 74.9 in3
CMewrwUT
+ Q
f3 -
[(-124
-
1397 - 485)2 + (-31 + (-288))2 + (165 + (-5))2]
- 2034 lb/in
f 4 - [(-124 - 1397 + 1163)2 + (-31 + (-288))2 + (165 - (-137))
- 567 lb/in
fomt ros
(Ue abeslute Values of 0 and PI)
+
2W1.43)9 *
_28-
2720 lb/in
-29-
..
1
Sme
problem om be solved by using TI -
59 prorble
WER STRW
THREE DRINI
osanlator.
C
]Discrepancy in the rawalts is due to
sore accurate oalculation by oomputer.
r
--4
268.
-
X
M
.
0.
0.
12. 1
7
6.18
A
8
L
Ix
IZ
0.
x
-380.
FX
-1500.
FY
2000.
32000.
-7200.
FZ
MX
MY
F5
>
i
G
X
z
-0.6automatically
Corresponding aigs of the applied forcessmnts arm coordinates
will give correct salue of weld stress.
*U
f
-0.6P
2035.
(
-0.6+A
836.
*
1.43
*A
3.
*B
572.
*W
1.43
-3.
*A
*B
*U
2463.
r(
+ (
(s - c,) - -
+
e)
C
~(r
+
-
(
+
(y - cy) - --
Exmple (cont. from
Y
.
(7 - y))2 +
-
a))2 +
(z - c:))2J
21,22)
Fr - 2700 lb
Py
2
©a
- -1500 lb
- 640o 1b
Mr
-
17500 lb-in
M - 92000 lb-in
Ms - -9000 lb-in
For
.
fsee
-31
veld
properties
p. 21,22
At sch point of weld:
S-
Same problem can be
by using TI-59 programmable calculator:
solved
- 159;
- 94.1l
- -
30-
T -
- 581.2
- 1417 b/in
f3 - [(159 + 581.2(-3 - 1.36) + 106.9(2 - 1.28))2 +
3053 lb/in
-
f4 - [(159 + 581.2(1.2 - 1.36) + 106.9(-2 - 1.28))
+ (-ws - 94.1(-.16) - 106.9(4.5 - 1.14))
+ (376 + 94.1(-3.28) - 581.2(3.36))
2700.
1500.
IY
IZ
FX
FY
6400.
F7
CY
C7
175010.
11"
92000.
MY
9000.
M2z
1.5
0.
+
+ (-88 - 94.1(-4.36) - 106.9(-1.4 - 1.14))
+ (376 + 94.1(.72) - 581.2(-2.54))2
.3
84.2
+
f2 - [(159 + 581.2(-1.36) + 106.9(5 - 1.28))2
+
1.14))2
+ (-68 - 94.1(-1.36) - 106.9(0 -
81.
L
CX
1
3365 lb/in
+ (36 + 94.1(-1.28) - 581.2(.36))21*-
5
1 7.
1.14
1.28
1. 36
+
+ (-88 -94.1(5.64) - 106.9(1.5 - 1.14))
+ (36 + 94.13.72 -
is-31
+
1 - [(159 + 581.2(7 - 1.36) + 1o6.9(o - 1.2))
2 (-1.1 4 ))
-106.9
it
Y
7.
z
3365.
F1
0.
+
F.
5
+
14183.
Fal
- 1955 lb/in
-1.4X
3053.
FWi
4.
-
-32- _
1.
1955.
2
F61
5 8"
~
~
N
o+.
4
a
-o
l
-
0%0%
m
R
42
36.
3,51
2,81
RT -
t/1()2
0
60 XX0%
pde.E
lee-t.
TABLE
S2
20%
o.
0,
-
C
-,
C
T
S
AT
-
-
-
-D
5/6
o,
a
a
"
aa
-'.o%a
-\Nm
-
-m
US-*
7,3
-
,8
0
,1
'0 4.0
%
T
Tns
."
1,6(t
4 Alwbes earanefectide ea
HrhS
ahea0
S.- Alhearbl
.ag
2
42000(.6)
(
/n
.4
4,10
9,6
) -l97in)
(,tct,/6n
6 2l a;Fl-600(3(
2,
(lyn).
y
tl
,4)-21
b
= 262e5iv
lb/in
6562tiv
)oaa
C
areb/in
to
r.42000
C - AllowaCoprlesin
411
396
356
,23
XX~
.
5
CST
7
S
C
lwalS,CS
T
~
S
C
C
,T
,
S T Tht
hrfr llowable
859e 2,461
y bmelt
1 l 5Ret
2,34
(2tlb/inted
6,5623
Cal =60 2,4i
i6 2S0
60th2,9ia,
= 8(t)~Ref.W
E60 AISC 4,2
Z
3/16" 1672 19
3,281eal
7,81
3,281ite
3,125
2,2 2,1 6,6 2,812
2,12 5,62
uI 1/4 ,25
e by12 3,2ld 7,8tal)28
(Rtri
lb/n
. 2,812
2,6
C 1/-220 282 532"
Alobl
R- Sp et
-
-
a ii
. 5 . 3m
1.14.6+,1 .3
Splo.abla
" Spec.
.Spec.
1.5. 3
1.14.6.1.3
t
e.ti v e m T
-
b /i/)
(l4ff
(
a
i
fRe.AIC__hstmC_
,6
n
)
lb/in (etitdb
aemt
ATTACHMENT W - EFFECTIVE THROAT THC1KNESS OF PRE,
PENETRATION BEVEL GVOVE WELDS
__
TABLE
1
ALLOWABLE LOADBS FOR VARIOUS SIZES
OF FILLET WELDW
1.
g
A.
B
Metal
0
t
The following effective throat shall be used for prequalified partial
penetration flare bevel groove weld. between cold formed rectangular/square
tubes and
(lb/in)
L70XX
SiLe
Flere level Groove Weld
37.1
3k7
ki
flat plate surfaces (such as embedded plate, anchorage angle, etc.)
weld.
with or without reinforcing fillet
. tube to tube matched box connections.
1"
12,728
14,400
14,849
7/8"
11,137
12,600
12,993
3/4"
9,546
10,00
11,137
5/8"
7,955
9000
9,281
1/2"
7,200
7/16"
6,364
5,568
6 300
7,425
6,497
Iw/o reinflw/reinforcin
II
of
Ithicknee*lmin. radius Ifillet(1) i
3/8"
4,773
5,400
5,568
I
5/16"
1/4"
3,977
4,640
3,712
1
t " thickness of the thinner tuba
T - effective throat thickness
- minimum corner radius of the tube (A)
Tube
2,386
2,784
1/8"
1,591
1,800
1,856
5/8
795
900
926
1/16"
te
a
-I
(in)
I_
3/161
1
1/4
5/16
lat Surface
I
gfillet(2)I(B)
Matched Sex(3)
T (in)
I
/6t (in)
3/8
1/2
--
2t
Effective Throat Thickness T(in)
-
4,500
3,600
2,700
2,700
3,182
I
I_
1/2
1/
5/8
3/4
1
I0.16
( 1 1/4
10.62
I
1
I
I
I
T(in)
( 0.31
1 o.37
I
fillet
(in) I_
1
1 3/16
1
I
I
1 0.5
1
11
1/8
1/6
1
I
I
-
(
I
T (in)I
.
0.29
0.35
0.40
0.62
F o r E60
Fa l = 6 0 ( . 3) ( . 4 4 2 ) = 7.96 k/ in
For El0
Fal = 70(.3)(.442)
6
steel
Fy
=
=
I
I
(
1
I
0.25
0.31
0.37
0.5
0.62
1
.
.206
9.28 k/in
P4e.
seds
Shti
36.0 kcai
Fal = 36(.4)(.625) = 9.0 k/in
EI
Notes:
- 34 -
I
-
Example: (Ref. AISC, 8th ilition
Spec. 1.5.3)
For A-3
s FARTIAL
4A'IZ.
1.
As per AWS-D.1.1., Table 2.3.1.4 for t 1/4, T - 5/16' A.
An per AWS-D.1.1, Figure 10.13.33 and teat results, for
to 5/16", T - t.
2.
As per geometric proportions with weld penetration to the
1/8" groove width level.
3.
As per AWS-D.1.1.,
- 35 -
Figure 10.13.38.
Check weld between TS
(Fl'
2z1/4 (Py - 42.0 ksi)
3.2.1
ad V 413
b!
2
36.0 ksi), Electrode E 60 XXL321Sersrssf
F
3.2.2 Tensile stress (at point 1)
S~x~j
TS2x2x|f
-
- 625 lb/in
f* -
Scer stress
W
3.2.3 Comp:e.aive stress (at point 2)
--
Q
-
ft -
-o
to -
- 3402 lb/in
+
be used
3.2.4 Interaction formula can
WF xl
at point 1
[(-2
. )2 + (-
at point 2
[(-...
2 )2
+ (-
1. Weld proportiess
L- 8 in;
b- 4 in;
A 4-Z
sx .
(D
- 5.33 in2
2. Applied forces and mosents
o.g. of the welds
Fr - 5000 lb
-at
y
Fy - 3200 lb
NE - 3200 x 5 - 16000 lb-in
3. weld strewm
3.1 Conservative designs
fw,-
(
)2 + (
-'j'0+
)2
- 3459 lb/in
Allowable loads Table 2) for flare bevel weld
(t - 1/4*0 ry - 36.0 kei; E 60 xX)
Ps - 2250 < 3459 lbjAn
Ft - 2812 < 3459 lb/in
Pa - 5625 > 3459 lb/in
More accurate design required to qualify the weld
- 57 - 36-
-)2P
625 )21
- .966< 1
* -
.66< 1
2602 lb/in
PARALLEL WElE
(Formula
TABL
3
Vg
11)
j
S
(j'mdala
-
d
L
Si
sy
3
4
'5
4
5
6
2.0
4.0
2.0
5.0
2.0
7
2.0
6.0
7.0
0.33
8.17
4.0
0.33
18.17
4.0
0.33
4.0
0.33
12.67
4.0
24.67
4.0
32.t7
4.0
40.674.0
6.0
8.0
10.0
12.0
14.0
16.0
18.0
2.0
3.0
0.33
0.33
4.67
4.0
2.0
4.0
1
1.33
2.33
L
6.0
S:
By
J
3.0
3.0
6.o
3.0
i0.5
3.0
18.0
L
Si
8.0
4.0
8.0
8.0
8.0
12.0
By
5.33
1.33
5.33
1.33
10.33
6.o
6.0
6.0
9.0
6.0
12.0
5.33
1.33
17.33
6.0
3.0
28.5
21.0 24.0
3.0
3.0
78.0 100.5
8.0
16.0
8.0
20.0
8.0
24.0
28.0
60.67
82.67 100.
10.0
10.0
5.33
5.33
10.0
10.0
Br
y
1
5.0
8.33
23.33
10.0
5.33
5.33
80
5.33
10.0
0.35
12.0
12.0
12.0
48.0
12.0
18.0
12.0
J
14.0
7.0
16.33
60.67
L
16.0
16.0
12.0
24.0
12.0
84.0
12.0
30.0
36.0
12.0
111.0
12.0
144.0
14.0
35.0
'16.33 16.33
113.2 144.7
14.0
28.0
16.0
16.
12.0
16.0
12.0
42.0
12.0
183.0
16.0
sz
9s
1
27.o
54.0
36.0 45.0
27.0
27.0
27.0
193.5 234.0 283.5
18.o
9.0
27.0 . 27.0
126.0 139.5
162.o
20.0
20.0
20.0
30.0
20.0
40.0
20.0
50.0
186.7 211.7
246.7
291.7
L
Si
20.0
10.0
sy
J
171.7
27.0
33.33 33.33 33.33
20.0
60.0
33.33,33.33 33.33
10.0
10.0
-
- 38-
27.0
27.0
342.0 409.5
406.0
20.0
80.0
20.0
90.0
+
.n
. .
.
0
L t!
Wo
m
%
* .
0
0
-
m
s
o
r
-
o0 0 0000
e
0
m-
o
oooooooOOOOOOOOOOO
-
.
mo
*
0
1I
. o
.m.
. -
-
-
-
.
33.33 33.33 33.33
346.7 411.7
a.1
A
81.0
72.0
'o
*
-
12.0
54.0
12.0
279.0
27.0
20.0
70.0
4
0080
5.33 5.33
1je.J 172.7
63.0
*
0o
-
a.
«
.% . .
a
64.0
56.0
48.0
40.0
32.0
24.0
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1.87
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Angle
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12.0
4.36
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6.75
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10.1 3.70
10.5 3.83
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7.00
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3.46 22.1
2.55 14.4
2.76 16.1
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2.99 18.0
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4.27
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6.88 1.81 11.6
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Lexex1-1/8
29.7
x1
30.0
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8.87 3.61
7.01 2.09 13.9
9.22 3.74
8.14 2.18 14.7
x5/16
5.75
5.88
9.04 3.33
7.10 2.65
7.40 2.76
x1/4
6.00
7.72 2.87
7.22 2.15 11.3
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6.00
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6.88 1.01 11.6
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L3.5x2.5x3/8 5.25
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6.05 2.57
6.34 2.67
6.64 2.78
L3x2.5
x1/4
A3/16
O
L3x2z3/8
x5/16
x1/4
x3/16
r
ii
L2.5x2
L2.5x2x3/8
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11/4
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-
x3/4
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112
359
2.39
5.61
77.6
365
2.35
5.65
32.6
32.9
33.2
80.2
83.1
86.5
89.7
2.31
2.27
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5.73
5.78
33.6
370
377
384
391
2.18 5.82
1.98 1.02 2.48
1.84
1.80
1.76
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4.20
4.24
5.18 1.31 7.86 .43 1.70 .93 2.20
5.45 1.39 8.42 .45 1.74 .95 2.24
5.72 1.47 9.00 .46 1.79 .96 2.29
x3/8
L54317/8
23.2
18.2
18.9
12.3
4
50.4
27.5
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165
85.2
1.72
1.64
1.55
3
4.36
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X3/4
1/2
12.5
12.8
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13.1
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28.8
32.0
33.9
35.0
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1.65 .73 1.90
18.5
19.0
19.2
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91.4
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1.51
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4.3
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3.99
4.23
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4.67
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1.74 .76 1.99
1.79 .77 2.04
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1.25
2.75
15.5
1.21 2.79
1.18 2.82
1.15 2.87
1.09 2.91
1.09 2.91
L3.5x3.513/6 13.2
6.24 15.4
31.1
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112
z3/1
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4.38 1.68
3.26 1.21
4.00 1.14 4.82 .44 1.56
2.74 .76 2.80 .35 1.28
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3.26 1.28
3.47 1.36
2.94
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3.34 .94 3.72
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3.61
3.64
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44.3
45.6
47.0
48.0
4.9
x5/8
6.82
4.26
4.63
5.02
5.43
3.49
5.57
45.2
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1.17
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3.45
7.95 18.2
8.07 19.4
8.22 20.6
8.41 21.6
22.4
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14.5
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14.7
15.0
15.2
15.4
7.87
1.01
2.49
13.4
13.5
6.31
6.39
16.1
16.
31.7
32.4
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2.51
2.53
11.0
11.2
4.45
10.1
10.9
18.5
19.2
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2.00
2.12
z5/16
11.4
4.54
4.59
11.4
19.6
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x114
11.5
11.6
4.66
4.73
12.0
12.6
20.1
20.6
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.82 2.18
7.21
7.58
10.9
11.1
4.32
4.56
4.85
5.19
11.
5.40
5.54
5.70
5.89
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.73
.71
.69
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x5/16
X1/4
L3311/2
X3/8
x3/16
L2.5z2.5x3/0
x5/16
x1/4
9.25
9.38
3.11
3.15
L2x2x3/8
x5/16
9.63
7.25
7.38
7.50
7.63
3.25
1.97
1.99
2.02
2.05
13/16
1/4
x3/16
-44
75.2
32.3
148
151
154
4.87 1.86
5.39 2.04
5.65 2.14
3.69 1.44
32.0
40.3
41.8
43.6
L~2.x58
2.36
1.78
1.87
1.97
2.06
30.7
31.0
J
-
17.8
18.0
18.1
6.04 1.78 8.75
6
186
.71.9
4.47 129 5.66
4.97 1.44 6.59
5.23 1.52 7.09
4.13
.94 2.56
.85 2.28
.86 2.33
'
sb
-
st
22.0
22.2
22.5
-
L3x2
-
L6x6x1
17/8
X3/4
5.50
4.75
5.00
5.13
6.50 2.44
legs
2.66
2.70
2.75
7.88 3.24
8.50 2.55 14.4 .69 2.31
6.62 1.96 10.0 .60 2.03
6.91 2.05 10.6 .61 2.00
TABI
(Forula 28)
2.56
6.50
6.50
imuan
.82 2.68 1.07 2.93
6.38
x1/4
L3.513
L3.5x3z3/8
AW
ox
y
7.49 1.99 13.1 .55 2.08 1.05 2.58
6.25
L322.5x3/8
ri
4
8.53 3.49
13/8
L3.5z2.5
y
Sxt
6.50
x5/16
i'
Srb
L4x3.5x1/2
13/8
x5/16
11/4
o a
L
9.50
3.20
-45-
0.00
8.49
11.4
2.14
1.75
1.77
1.79
1.81
1.37
1.39
1.41
1.43
Unequal
13.513r3/8
x5/16
x1/4
len
(rormula 28)
L.
Angle
Lex6x1
Z3/4
X112
L8x4x1
x3/4
x1/2
L7z4x3/4
x1/2
/8
L6x4x3/4
x5/8
x1/2
x3/8
166x3.5=3/8
x5/16
30.8
26.5
27.0
22.0
22.5
23.0
31.5
32.2
26.7
29.3
30.1
18.2
14.0
X3/6 14.2
X5/16 14.4
X/4 14.5
L4X3.5X1/2
x1/4
J
x1/4
,
or ey_ -"L..X
5.37
2.63
4.37
1.63
49.7 18.6 247
1.55 4.45 2.55 5.45
67.1 54.1 18.9 255
1.47 4.53 2.47 5.53
72.2 59.7 19.3 266
1.02 2.98 3.02 4.96
8.64 169
47.3 25.7
.94 3.06 2.94 5.06
50.5 26.4 8.73 175
.85 3.15 2.85 5.15
8.82 183
54.3 32.5
3.00 2.50 4.50
1.00
128
8.56
20.5 22.8 41.1 25.8
.91 3.09 2.41 4.59
8.69 134
21.0 23.4 44.6 29.5
.67 3.13 2.37 4.63
21.2 23.8 46.5 31.9 6.82 138
2.94 2.06 3.94
1.06
91.6
8.37
18.5 17.0 32.5 23.1
8.43 93.7 1.02 2.90 2.02 3.96
18.7 17.2 33.9 24.6
.96 3.02 1.98 4.02
19.0 17.5 35.5 26.3 8.52 96.1
0.66 96.6 .94 3.06 1.94 4.06
19.2 17.8 37.3 26.3
26.0
18.4
15.5
L5x3.5z/4
16.0
x1/2
x3/8 16.2
25/16 16.4
15.0
L5x3x1/2
15.2
23/e
15.4
15/16
15.5
X1/4
L4x3x1/2
X3/6
x5/16
Sxb
St
Syr
13.0
13.2
13.4
13.5
62.6
17.4 33.9 23.2
34.8
22.3
24,6
26.0
26.8
22.1
12.o 23.3
12.1, 24.0
12.3 24.8
17.5
11.8
12.1
12.5
12.4
11.8
7.91 17.6
8.06
1s.b
6.75
6.35
6.44
6.54
6.61
4.80
4.86
4.90
4.96
88.5
54.5
57.3
59.1
60.1
49.2
50.6
51.7
52.7
15.6
6.24
6.36
6.43
6.51
37.5
36.6
39.5
40.3
.99 2.51 1.24 2.76
.95 2.55 1.20 2.80
.93 2.57 1.18 2.82
.91 2.59 1.% 2.84
4.65 30.6
4.72 31.9
4.77 32.6
4.64 33.2
.62 2.16 1.32 2.66
.78 2.22 1.28 2.72
.76 2.24 1.26 2.74
.73 2.27 1.23 2.77
17.1
8.25 20.3 16.6
15.7 12.4
16.8 13.5
17.4 14.2
18.1 14.9
Sxb
Sy1
.96
.90
.66
.83
.74
.70
2.52
2.60
2.64
2.67
2.26
2.30
.68 2.32
.66 2.34
1.73
1.65
1.61
1.50
1.74
1.70
1.68
1.66
J
11.5
6.06 13.1
9.23 3.27 19.9
9.743.30 20.4
10.3
3.34 20.8
10.2 4.41 9.54 8.24 3.20 14.8
L3x2.5x3/8
9.18 3.28 15.5
10.5 4.53 10.4
x1/4
x3/16 10.6 4.61 11.0 9.77 3.33 15.9
9.25 4.25 8.12 5.79 2.09 11.4
L3x2x3/8 6
9.38 4.31 8.48 6.14 2.11 11.7
x5/1
9.50 4.37 8.8 6.57 2.13 12.0
x1/4
9.63 4.45 9.33 7.08 2.17 12.3
x3/16
8.25 3.01 6.13 5.07 2.04 7.95
L2.5x2x3/8
8.38 3.04 6.43 5.37 2.05 8.14
x5/16
8.50 3.09 6.78 5.73 2.08 8.36
21/4
x3/16 8.63 3.15 7.18 6.16 2.12 8.62
L2.5x1.5x
x5/16
L2x1.5x1/4
2x1.25x1/4
L1.75x1.25x
x1/4
c
cZ
Cy
Cy
.82 2.18 1.07 2.43
.80 2.20 1.05 2.45
.78 2.22 1.03 2.47
.65 1.85 1.15 2.35
.63 1.07 1.13 2.37
.61 1.89 1.11 2.39
.70 1.80
.66 1.84
1.64 1.66
.95'2.05
.91 2.09
.89 2.11
1.47 1.03 1.97
.51 1.49 1.01 1.99
.49 1.51 .99 2.01
'.53
.47 1.53
.57 1.43
.55 1.45
.53 1.47
.51 1.49
.97 2.03
.82 1.68.
.8o 1.70
.78 1.72
.76 1.74
7.38 2.90 5.24 3.39 1.19
6.50 1.93 3.93 3.10 1.16
5.99
3.e6
.39 1.11,
.41 1.09
.89 1.61
.66 1.34
3.45
2.32
.82
3.18
.33
.70 1.30
5.50 1.45j 2.80
2.11
.81
2.40
.35 .90 .60 1.15
6.0 1.87
3.27
3.35
3.39
3.42
3.26
3.30
3.32
3.34
-7
-46-
Syr
12.2 6.10 13.8 {12.2 4.64 24.9
12.4 16.17 14.3 12.8 4.69 25.4
12.5 6.25 14.9 13.5 4.75 26.0
.76 2.72 2.03 3.97
.76 2.74 2.01 3.99
24.3
16.4
16.6
20.2
21.2
14.6
16.0
16.8
17.8
6.15 19.5 17.6
7.71
7.e7
7.96
8.06
6.69 67.2
Sxt
L3.5x2.5x3/8 11.2 5.92 12.0
x5/16 11.4 6.oo 12.5
-
+ -
Syl
L
Angle
UTLE 9
C
.92
TAME 11
TABLE 10
C
ANLEC
Equal leas
(f'ormula 25)
LzSext-1/8
18
xI
18
X7/8
23.8
23.8
18 23.8
16 23.9
60.5
273
274
60.8
61.2 274
275
276
277
18 23.9
61.5
61.9
62.9
14
14.2
34.5
121
14
14.2
34.8
121
x3/4
14 14.3
14 14.3
35.2
35.5
X1/2
14
14.3
35.8
X3/4
x5/4
x1/2
- --8
L617z/
X7/8
18 23.9
.
2
2
5.74
5.75
5.16
2.24 5.76
2.24 5.77
2.22 5.78
5 8
*2
1.75 4.25
1.74 4.26
1.73 4.27
1.72 4.26
2.26
2.25
2.24
L
*n.
_
_
_
_
Esit
14
21.8
14
22.0
39.5 27.6 7.52 137
4.29
1.7Z4x3/4-
13
17.5
32.6
1.71
1.49
1.4
4.29
X1/2
3/e
L6x4x3/4
13
13
12
17.6
17.7
13.5
33.3
33.6
26.7
-~
tex4x1
13
12 10.3
24.5
x1/2
12
12
10.4
10.4
25.2
25.5
73.5
74.0
1.46
1.45
3.54
3.55
x5/8
1/2
12
12
12
10.4
25.7
74.2
1.44
3.56
x3/8
12
6.93
6.94
X/16
10
10
10
10
10
21/4
10
7.05
L44z3/4
X5/8
x1/2
13/2
/
5/
9
x1/4
9
S
L3x5x1/2
ZX/3/6
16
X1/4
:3/16
L--2---3
.5/16
x1/4
x3/16
L2x2x3/8
X5/16
x1/4
x3/16
8
8
6
8
7
7
7
7
6
6
6
6
15.7
16.0
6.91 16.3
7.01 16.6
7.03 16.6
17.0
5 - 1--..0
38.4
38.7
39.0
39.4
39.6
39.6
1.71
9.41
17.3
4.19
4.22
4.24
9.57
9.74
9.92
17.5
17.6
17.8
2.93.00
6.50
10.2
3.02
3.04
1.95
1.96
1.96
2.00
103
6.65
10.4
6.81
10.6
6.98
1.5
.28
4oe 6 5.28
L~x~3/8
4.08
4.21 5.35
4.35 5.44
4.51 5.54
- 4 8-
3.51
3.52
1.23
1.21
1.20
2.77
2.79
1.18
2.82
2.80
2.81
1.18 2.02
1.19
1.16
5.5 2 12. 8 27. 0 1.0
5.56 13.91 27.3 1.04
----.94
17.1
9.12
4.15
4.17
J
3/4
/
/
~
e1.6x1
x3/4
1/2
14 14.4
X5/16
Syr
16
16
16
14
---
X3/8
X3/8
Syl
~ ~-~~~
14.7
22.9 49.6 43.0
43.6 14.7
50.2
23.0
23.1 50.9 44.4 14.8
21.7 38.3 26.3 7.57
44/8
1 3/4
36.2
a
2.82
-*.-
.79
.78
.77
.76
65
.65
.64
.63
.61
x3/8
x
1 .1
6.85
6.90
6.92
6.95
6.72
6.77
6.79
6.e2
14.8
15.2
15.3
15.5
13.4
13.7
13.9
14.1
2.06
xl/4
10
14x3.511/2
x3/8
15/16
131/4
4x3x1/2
x3/1
x5116
o'
ey
oy
-
9.5
9.5
9.5
9.5
9.0
9.0
9.0
9.0
102
20.3
18.4
18.6
18.7
1.53
1.52
1.50
.89
.8e
4.47 2.53
4.48 2.52
4.50 2.50
3.11 2.89
5.47
5.48
5.50
5.11
3.12 2.88 5.12
.86 3.14 2.86 5.14
.94 3.06 2.44 4.56
943024445
.92 3.08 2.42 4.50
24.7 7.42 103
.91 3.09 2.41 4.59
25.1 7.44 104
2.98 2.02 3.98
1.02
75.6
7.29
21.3
21.6
21.9
7.29
7.31
13.7
9.73
9.79
9.83
9.86
10
10
10
2.09
2.10
1.71
1.72
1.73
1.74
.;5x1/4
1.35
1.36
1.37
1.39
27.0
27.3
9.98 20.2
x5/16
L2x3lX/2
7.52 135
7
10.5 10.0
191
192
194
134
24.17.212
10.5
X38
2
13.6
13.6
26.9
38.9
27.6 22.3 7.33
11.5 13.5 25.5 19.0 5.86
11.5 13.5 25.7 19.2 5.87
-~
~~
10.5 9.84 19.3 15.6 5.72
10.5 9.92 19.8 16.1 5.73
2.46
.92 2.08-.91 2.09
.91
.90
L6x3.5x3/8
x5/16
- L5x3.5x3/4
x1/2
ex
-
-
122
122
123
123
72.3
72.6
X1/2
-
(Forula
nqlle.,
25)
16.5
76.0 1.01 2.99 2.01 3.99
76.5 1.00 3.00 2.00 4.00
77.0
68.6
68.8
47.2
47.9
5.75
48.3
5.76
48.5
.99
.83
.82
.94
.92
3.01
2.67
2.66
2.56
2.58
1.99 4.01
2.08 3.92
2.07 3.93
1.69 3.31
1.67 3.33
.90 2.60 1.65 3.35
.90 2.60 1.65 3.35
13.3 4.43 41.6 .75 2.25 1.75 3.25
13.6 4.44 42.0 .74 2.26 1.74 3.26
13.8 4.44 42.2 .73 2.27 1.73 3.27
14.0 4.46 42.4 .73 2.27 1.73 3.27
13.7 5.56 32.6 1.01 2.49 1.26 2.74
14.0 5.61 33.2 1.00 2.50 1.25 2.75
14.2 5.62 33.2 .99 2.51 1.24 2.76
14.4 5.64 33.4 .99 2.51 1.24 2.76
11.2 4.31 27.2 .82 2.17 1.33 2.67
11.5 4.32 27.6 .82 2.19 1.32 2.69
11.7 4.34 27.7 .81 2.19 1.31 2.69
11.9 4.35 27.9 .e1 2.19 1.31 2.69
16.7
~49-
Angle
L Sxt
Sxb
8.5 5.41 11.5
L3.5x3x3/8
x5/16 8.5 5.44 11.7
8.5 5.46 11.9
x1/4
L3.5x2.5x3/8 8.0 5.29 10.3
x5/16 8.0 5.32 10.5
8.0 5.35 10.6
x1/4
L3x2.5x3/8
x1/4
x3/16
L3x2x3/8
X5/16
x1/4
x3/16
L2.5x2x3/8
x5/16
x1/4
x3/16
7.5 4.08 8.36
7.5 4.12 8.68
7.5 4.15 8.85
7.0
7.0
7.0
7.0
6.5
6.5
6.5
6.5
3.96 7.31
3.98 7.46
4.02 7.61
4.05 7.78
2.89 5.65
2.91 5.79
2.93 5.94
2.96 6.10
Syr
Syl
c
ex
J
c
TABLE 12
8.22 3.12 17.9
8.38 3.13 18.0
8.5513.14 18.2
.87 2.13 1.12 2.38
.a6 2.14 1.11 2.39
.85 2.15 1.10 2.40
.69 1.81 1.19 2.31
.68 1.82 1.18 2.32
.67 1.83 1.17 2.33
7.36 3.06113.6
7.68 3.09!13.9
.73 1.77
.72 1.78
4.26 22.0
4.27 22.1
4.29 22.3
10.5
10.6
10.8
7.85
5.41
5.55
5.70
5.87
4.75
4.88
5.03
5.19
3.11
2.07
2.08
2.09
2.10
2.02
2.02
2.04
2.05
.71
14.0
.55
10.7
.54
10.8
.54
10.9
.53
11.1
L 32
7.61 .6o
7.70 .59
7.81 .58
7.93 .57
1.79
1.45
1.46
1.46
1.47
52.
1.40
1.41
1.42
1.43
AELS
Equal legs
(Formula 27)
.98 2.02
.97 2.03
2-.04
1.95
1.96
1.96
1.97
1.65
1.66
1.67
.d2 1.68
-- --
.96
1.05
1.04
1.04
1.03
.85
.84
.83
L
L8rx8-1 8
x1
x7/8
3/4
x5/B
x1/2
0 12x30 20.3 69.3 20.9 5.95 431
28.3 69.3 29.8 5.9
3 69.3 31 5.15
20.
_2._0_93
1651
0 10030 23,0 49,0 21.2 5.49
125 23,6 49.0 21.4 4,91
x25
431
429
29
258
257
L6x6x1
7/8
X3/4
x5/8
-
x20 23,8 49.0 22.2 4.40 255
z15.3 23.0 49.0 23.9 4.00 254
9220 21.6 ;9,9 10.3 4.10 105
0
211.5
19.3 S1.8 15.9 3.20 133
19.3 31.6 16.7 3.00 133
__147
462.a2x3/8
1.
2.574
2.530
.3
2.409
2.347
.454 2.285
.373 2.227
.
2.16;
.485
21.6 39.9 20.1 3.49 187
13.4.-C0=16.75 19.3 31,a 15.1 ).73 135 .501
x13.75
6.7
x5.4
C 346
i5
x4
x3/4
x1/2
x3/8
y--
x5/16
a - M-t
pc
1.200
1.6 .304
10.2
415 1-- --d.38 5.98 1.42
1.141
.415
8.7
.64
1
7.93 4.01 3.91
7.93 4,11 3,54 1.22 1.61 .354 1.1441.110
.300
7.93 4.01 409 .10
". a -
ti
-1/4
'._
,026
91
14.7 1.9 1.71 20 5
12.5 11.9 7.71 1.01 35.1 .30 1.441
10,9 .307 1,334
1165
" b+
L44x3/4
x5/6
x1/2
x3/8
2r
)x5/16
L+
-
L3.5x3.5x3/8
x5/16
----
2
*
t a(-f. - Cc)
13.7
14.1
14.5
14.9
15.4
15.8
sy
49.3
49.6
49.9
50.3
50.7
51.1
17.7
17.7
17.7
17.7
17.7
17.7
x/4
L3x3x1/2
x5/16
x1/4
x3/16
L2.5x2.5x3/8
-
2.67
2.60
2.53
2.45
2.38
2.31
5.33
5.40
5.47
5.55
5.62
5.69
7.40 27.5
9.94
72.7
1.59 4.41 2.09 3.91
7.66 27.7
7.94 27.9
9.94 74.4
9.93 76.1
1.58 4.42 2.02 3.98
1.58 4.43 1.95 4.05
11.4
18.1
8.25 28.1
9.93
78.0
1.57 4.43 1.88 4.12
11.5
19.9
8.56 28.4
9.94
80.1
1.55 4.45 1.80 4.20
9.94 82.3
6.90 41.7
6.90 42.8
1.54 4.46 1.73 4.27
1.33 3.67 1.77 3.23
1.32 3.68 1.70 3.30
11.6 22.0 8.90 28.7
9.13 9.28 5.07 19.1
9.25 10.3 5.28 19.2
9.50 12.8
9.63 14.4
5.77 19.6
6.04 19.8
6.90
6.90
45.4
46.9
1.30 3.70 1.55 3.45
1.29 3.71 1.48 3.52
9.69 15.3
25.2
7.25 5.65
7.38 6.42
7.50 7.33
6.18 20.0
6.91
47.6
1.29 3.71 1,44 3.56
3.18 12.2
12,.3
21.1 1.06
4.42
2.63
1.37 2.56
2.94 1.44
1.06 2.94
4.42 "21.8
8.44
9.07
3.73 12.6
3.84 12.7
7.63
7.69
3.34
3.53 12.4
4.42
22.6
1.05 2.95 1.30 2.70
4.42
4.42
23.4
23.9
1.04 2.96 1.23 2.77
1.03 2.97 1.19 2.8i
24.4
4.42 ___
1.03 2.97 1.15 2.85
15.4
3.38
15.8
.91 2.59 1.10 2.40
.91 2.59 1.06 2.44
6.75 7.17 2.98 9.73 3.38
16.1
.90 2.60 1.03 2.47
6.63 6.08 2.79 9.56 3.38
6.69
6.59
- 5.50 3.46
5.63
4.12
2.88
9.64
1.85
6.89
2.48
1.99
6.98
2.48
4.53 2.06 7.04 2.48
5.75 4.98 2.14 7.10 2.48
5.69
5.81
5.49
4.63 2.57
4.75
x1/4
6
x3/1
177
180
184
187
191
195
-
c
e xAngle
2.11 5.89
2.10 5.90
2.09 5.91
2.08 5.92
2.07 5.93
2.06 5.94
15.1
16.5
x1/4
x5/16
-
13.8
4.69
L2x2x3/6
C,
-
11.1
11.2
x5/16
x3/16
c,
11.0
7.75 9.76 3.96 12.8
_______
2
z* "
.393 1.950
.344 1.916
1.691
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TAME 22
TA=E 21
STRUCTURAL TUIIG
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317
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190
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SK
Sy
---------"-e J
88.6
18.9 600
20.6
14.6
15.1
15.5
15.5
15.7
15.1
15.5
15.7
10.5
10.9
a1
138
33.4 1
33.8 136
1 1
26.4 10Q
26.7 104
27.0 106
27.3 109
19.7 79.0
20.0 60.6
20.2
20.4
21.7
22.4
82.3
83.9
71.9
75.1
11.1
11.3
11.5
10.9
22.t
23.0
23.3
16.7
76.6
78.2
79.7
11.5
11.6
11.7
11.1
11.3
11.5
17.0
17.2
17.4
5M.0
11.4
10.9
11.1
11.3
11.5
11.0
11.2
11.4
11.6
41.3
42.5
43.6
53.6
54.9
56.2
57.4
11.5
11.6
11.7
9.36
9.46
9.57
9.68
7.42
7.57
7.73
7.88
18.4
18.7
19.0
19.3
9.14
7.09
13.1
9.
9.46
9.57
9.6e
7.42
7.57
7.73
7.88
13.7
14.0
14.2
14.4
55.4
56.7
2.
44.7
----
35.3
37.4
39.5
2.63
2.73
38.0
39.1
1.02
21.9
9.46
7.57
9.23
36
9.57
9.60
960
7.73
7.88
9.42 27.6
9.59 28.4
.92.
6.77 1.08 22.9
9.11 1.15 23.8
9.111
-67-
76
39.5
40.5
26.0
4x3x5/l6
L
5.46
.40
7.4u
11.0
25.
4.97
11.0
11.2
11.4
25.0
25.0
26.5
4.72
4.85
7.23
7.42
15.8
16.4
10.7
5.57 11.0
5.6W 11.3
2.53
2.63
2.73
24.7
25.5
26.3
7.57
4.72
4.05
7.68
4x2x5/16
x1/4
3.46
3.57
1.02
1.08
14.2
14.9
7.46
7.57
x3/16
3X211/4
X3/16
3.68 7.27
3.57
5.20
3.60
5.43
x1/4
X3/16
6.69
6.99
7.68 4.97
5.57 2.63
5.68 2.73
1.15 15.6
1.08 8.73
1.15 9.07
List
of available programs for T1-59 prograxmable calculator.
WaLD
WELD PROPITIF
7.59
17.0
5.42 - 8.90
5.59
9.38
-
Any combination of weld.
parallel to
WP-1
X aM Yc.aluaes
tlS
For given weld properties
calculates
*
at
W'2.3 As shown.
-2
, As shown-
W
TkLE~ 23
weld.
.of
a
_
WnY point
LON
A
TRIM.
(as a function ofA)
IS27
For parallel or rectangular weld
calculates
As shown.
stres
Formula 67
Formula 66
-----
of weld.
As shown.
___2.
.c
-3 For parallel weld
"
-0 shown.
As
b
b
.347r 1.970r
20
.684r 1.879r
30
1.000r 1.732r
40
1.286r
1.414r
1.532r
1.732r
1.879r
1.970r
45
50
60
70
80
1.
y
10
3
6
3
4. 37r 1.965r
.126r
5.155r 2.447r3 .495r 3
5.558r 2.779r3 1.047r3
1.532r 5.857r
1.414r 5.970r
6
6
1.28 r 6.0 2r
1.OOor 6.18yr
6
6
. 84r
.255r
.347r 6.280r
at
four points
1.678r3
3
1.985r
3
2.269r
3
2.728r
3.009r33
3.142rx 3.124r
2.980r3
3.042r3
3
3.084r
3
2.127r
3
3.140r
4.
c
ix
ly
6
stress due
3
36r .001r 1.956r
.126r
5.141r .006r 2.381r 3 .494r 3
5.511r .024r 2.569r3 1.040r3
6
5.74 r
5.813r
5.649r
6
5.82 r
6
5. 91r
.052r
.071r
.094r
.149r
.217r
2.529r3
3
2.434r
3
2.301r
3
1.951r
3
1.548r 3
5.457r .298r 1.148r
calculates
As shown.
W
to number
LI11
of applied
3
1.649r
3
1.935r
3
2.189r
3
2.547r
3
2.662r 3
2.536r
forces.
WP'38-43 As shown.
W
5
As
-
Wjg 1
Calculates weld stress
a
n
/
/nof
own,
-
any threen..
dimensional
weld pattern
T
eUhre-imensional
-
.C
-
due to appli
Any combination
forces and
of straight line
moments.
welds.
WP495
welds.
As shown.
Each progrme consists of'complete
description and protected magnetic
card.
Price per program - $3.00 (Postage and
tax included) Mach additional magnetic
card - 51,25
Total set of 15 programs - 525.00
PIPING ENGINEERING STANDARDS
PAGE 16 of 17
DS-2
(p.16 followed
+I
4
gC
+
by p.16a)
TABLE 11
WELD OUTLINE PROPERTIES FOR SQUARE TUBE STEEL*
(Welded All Around)
t = thickness
R = 2t
RX
X
Aw = 4w + 2nR
%
4r
w= b-2R/
?Sz-Syy
w =0.0951R3
c
SIZE
2 x 2 x .1875
2 x 2 x .25
2.5 x 2.5 x .1875
2.5 x 2.5 x .25
3 x 3 x .1875
3 x 3 x .25
3 x 3 x .3125
3.5 x 3.5 x .1875
3.5 x 3.5 x .25
3.5 x 3.5 x .3125
4 x 4 x .1875
4 x 4 x .25
4 x 4 x .3125
4 x.4 x .375
4 x 4 x .5
5 x 5 x .25
5 x 5 x .375
5 x 5 x .5
6 x 6 x .25
6 x 6 x .375
6 x 6 x .5
7 x 7 x .25
7 x 7 x .375
7 x 7 x .5
8 x 8 x .25
8 x 8 x .375
8 x 8 x .5
8 x 8 x .625
10 x 10 x .375
10 x 10 x .5
10 x 10 x .625
12 x 12 x .375
12 x 12 x .5
14 x 14 x .375
G
3
2
2=y =+
6t112+ -
Jw=2[6w3+
w
+I
n
+
-\2
J
wb2+2C+2IR
(+y)2]
*Based on a corner radius of twice the thickness.
ar
Aw
Sx
BY
J,
7.356
7.142
9.356
9.142
11.356
11.142
10.927
13.356
13.142
12.927
15.356
15.142
14.927
14.712
14.283
19.142
18.712
18.283
23.142
22.712
22.2B3
27.142
26.712
26.283
31.142
30.712
30.283
29.854
38.712
38.283
37.854
46.712
46.283
54.712
4.615
4.345
7.453
7.128
10.958
10.579
10.184
15.130
14.696
14.247
19.969
19.481
18.977
18.459
17.380
31.050
29.811
28.512
45.287
43.B32
42.314
62.191
60.519
58.785
81.761
79.874
77.923
75.910
126.585
124.202
121.755
183.962
181.148
252.007
4.615
4.345
7.453
7.128
10.958
10.579
10.184
15.130
14.696
14.247
19.969
19.481
18.977
18.459
17.380
31.050
29.811
28.512
45.287
43.832
42.314
62.191
60.519
58.785
81.761
79.874
77.923
75.910
126.585
124.202
121.755
183.962
181.148
252.007
9.230
8.690
18.632
17.820
32.874
31.736
30.553
52.954
51.437
49.866
79.874
77.923
75.910
73.837
69.520
155.252
149.057
142.561
271.722
262.990
253.886
435.335
423.635
411.493
654.088
638.993
623.384
607.279
1265.846
1242.015
1217.547
2207.548
2173.779
3528.099
CY
1.000
1.000
1.250
1.250
1.500
1.500
1.500
1.750
1.750
1.750
2.000
2.000
2.000
2.000
2.000
2.500
2.500
2.500
3.000
3.000
3.000
3.500
3.500
3.500
4.000
4.000
4.000
4.000
5.000
5.000
5.000
6.000
6.000
7.000
J/CY
J/CX
9.230
8.690
14.906
14.256
21.916
21.157
20.369
30.260
29.392
28.495
39.937
38.962
37.955
36.918
34.760
62.101
59.623
57.024
90.574
87.663
84.629
124.381
121.039
117.570
163.522
159.748
155.846
151.820
253.169
248.403
243.509
367.925
362.297
504.014
9.230
8.690
14.906
14.256
21.916
21.157
20.369
30.260
29.392
28.495
39.937
38.962
37.955
36.918
34.760
62.101
59.623
57.024
90.574
87.663
84.629
124.381
121.039
117.570
163.522
159.748
155.846
151.820
253.169
248.403
243.509
367.925
362.297
504.014
CX
1.000
1.000
1.250
1.250
1.500
1.500
1.500
1.750
1.750
1.750
2.000
2.000
2.000
2.000
2.000
2.500
2.500
2.500
3.000
3.000
3.000
3.500
3.500
3.500
4.000
4.000
4.000
4.000
5.000
5.000
5.000
6.000
6.000
7.000
PIPING ENGINEERING-POWER ENGINEERING-READING
INFORMATION FOR INTERNAL USE ONLY
R
PIPING ENGINEERING STANDARDS
(
i- 9
DS-2 PAGE16a of
(p.16a followe
TABLE 1216b)
WELD OUTLINE PROPERTIES FOR SQUARE TUBE STEEL*
(Welded Two Sides and Around Corners)
Y
t = thickness
Aw=2w+2nR
PR
=2t
R
X
w3
S
w = b-2R
Sx=
YRSy=
b
w=
c0.09SR3
b
J
*Based
SIZE
2 x 2 x .1875
2 x 2 x .25
2.5 x 2.5 x .1875
2.5 x 2.5 x .25
3 x 3 x .1875
3 x 3 x .25
3 x 3 x .3125
3.5 x 3.5 x .1875
3.5 x 3.5 x .25
3.5 x 3.5 x .3125
4 x 4 x .1875
4 x 4 x .25
4 x 4 x .3125
4 x 4 x .375
4 x 4 x .5
5 x 5 x .25
5 x 5 x .375
5 x 5 x .5
6 x 6 x .25
6 x 6 x .375
6 x 6 x .5
7 x. 7 x .25
7 x 7 x .375
7 x 7 x .5
8 x 8 x .25
8 x 8 x .375
8 x 8 x .5
8 x 8 x .625
10 x 10 x .375
10 x 10 x .5
10 x 10 x .625
12 x 12 x .375
12 x 12 x .5
14 x 14 x .375
Aw
4.856
5.142
5.856
6.142
6.856
7.142
7.427
7.856
8.142
8.427
8.856
9.142
9.427
9.712
10.283
11.142
11.712
12.283
13.142
13.712
14.283
15.142
15.712
16.283
17.142
17.712
18.283
18.854
21.712
22.283
22.854
25.712
26.283
29.712
Sx
2.115
2.345
3.078
3.378
4.208
4.579
4.934
5.505
5.946
6.372
6.969
7.481
7.977
8.459
9.380
11.050
12.311
13.512
15.287
16.832
18.314
20.191
22.019
23.785
25.761
27.874
29.923
31.910
41.585
44.202
46.755
57.962
61.148
77.007
BY
4.289
4.178
6.738
6.678
9.692
9.690
9.589
13.149
13.208
13.163
17.108
17.231
17.244
17.157
16.713
26.784
26.953
26.712
38.343
38.769
38.759
51.905
52.597
52.832
67.469
68.431
68.923
68.978
106.114
107.135
107.692
151.806
153.371
205.504
J
6.404
6.523
12.270
12.570
20.850
21.402
21.785
32.645
33.520
34.186
48.153
49.423
50.444
51.233
52.186
94.585
98.161
100.561
160.889
166.803
171.219
252.335
261.156
268.160
372.922
385.222
395.384
403.549
738.491
756.682
772.235
1258.610
1287.113
1977.579
~'
+I +R
-- +1
4
~2
+nl
4
2
+y
wL3+1 wb2+27c+2nR
+y
2l
on a corner radius of twice the thickness.
CY
CX
1.000
1.000
1.250
1.250
1.500
1.500
1.500
1.750
1.750
1.750
2.000
2.000
2.000
2.000
2.000
2.500
2.500
2.500
3.000
3.000
3.000
3.500
3.500
3.500
4.000
4.000
4.000
4.000
5.000
5.000
5.000
6.000
6.000
7.000
1
1.000
1.000
1.250
1.250
1.500
1.500
1.500
1.750
1.750
1.750
2.000
2.000
2.000
2.000
2.000
2.500
2.500
2.500
3.000
3.000
3.000
3.500
3.500
3.500
4.000
4.000
4.000
4.000
5.000
5.000
5.000
6.000
6.000
7.000
PIPING ENGINEERING-POWER
ENGINEERING-READING
INFORMATION FOR INTERNAL USE ONLY
3/CY
6.404
6.523
9.816
10.056
13.900
14.268
14.523
18.654
19.154
19.535
24.076
24.712
25.222
25.616
26.093
37.834
39.265
40.224
53.630
55.601
57.073
72.096
74.616
76.617
93.230
96.306
98.846
100.887
147.698
151.336
154.447
209.768
214.519
282.511
3/CX
6.404
6.523
9.816
10.056
13.900
14.268
14.523
18.654
19.154
19.535
24.076
24.712
25.222
25.616
26.093
37.834
39.265
40.224
53.630
55.601
57.073
72.096
74.616
76.617
93.230
96.306
98.846
100.887
147.698
151.336
154.447
209.768
214.519
282.511
PIPING ENGINEERING STANDARDS
DS-2
PAGE16b of 171
(p. 16b followed;
by p.16e)
TABLE 13
WELD OUTLINE PROPERTIES FOR SQUARE TUBE STEEL*
(Welded Two Sides, Flats Only)
Y
t = thickness
= 2w
R = 2t
R
-
Aw
2
w
X
w=b-2R
Sx =
_2R
Y = IRSy=wb
I = 0.095rR 3
2
J
=
/
+6b2
*Based on a corner radius of twice the thickness.
SIZE
Aw
BX
SY
J,
CY
Cx
J/CY
J/CX
2 x 2 x .1875
2 x 2 x .25
2.5 x 2.5 x .1875
2.5 x 2.5 x .25
3 x 3 x .1875
3 x 3 x .25
2.500
2.000
3.500
3.000
4.500
4.000
0.521
0.333
1.021
0.750
1.688
1.333
2.500
2.000
4.375
3.750
6.750
6.000
2.826
2.167
6.362
5.250
12.023
10.333
0.625
0.500
0.875
0.750
1.125
1.000
3 x 3 x .3125
1.000
1.000
1.250
1.250
1.500
1.500
4.521
4.333
7.271
7.000
10.688
10.333
2.826
2.167
5.090
4.200
8.016
6.889
3.500
1.021
5.250
8.768
0.875
1.500
10.021
5.845
5.500
5.000
4.500
6.500
6.000
5.500
5.000
4.000
8.000
7.000
6.000
10.000
9.000
8.000
12.000
11.000
10.000
14.000
13.000
12.000
11.000
17.000
16.000
15.000
21.000
20.000
25.000
2.521
2.083
1.688
3.521
3.000
2.521
2.083
1.333
5.333
4.083
3.000
8.333
6.750
5.333
12.000
10.083
8.333
16.333
14.083
12.000
10.083
24.083
21.333
18.750
36.750
33.333
52.083
9.625
20.310
8.750
17.917
7.875
15.680
13.000
31.721
12.000
28.500
11.000
25.466
10.000
22.604
8.000
17.333
20.000
60.667
17.500
50.896
15.000
42.000
30.000 110.833
27.000
96.188
24.000
82.667
42.000 183.000
38.500 162.479
35.000 143.333
56.000 281.167
52.000 253.771
48.000 228.000
44.000 203.729
85.000 527.354
80.000 485.333
75.000 445.313
126.000 948.938
120.000 886.667
175.000 1550.521
1.375
1.250
1.125
1.625
1.500
1.375
1.250
1.000
2.000
1.750
1.500
2.500
2.250
2.000
3.000
2.750
2.500
3.500
3.250
3.000
2.750
4.250
4.000
3.750
5.250
5.000
6.250
1.750
1.750
1.750
2.000
2.000
2.000
2.000
2.000
2.500
2.500
2.500
3.000
3.000
3.000
3.500
3.500
3.500
4.000
4.000
4.000
4.000
5.000
5.000
5.000
6.000
6.000
7.000
14.771
14.333
13.938
19.521
19.000
18.521
18.083
17.333
30.333
29.083
28.000
44.333
42.750
41.333
61.000
59.083
57.333
80.333
78.083
76.000
74.083
124.083
121.333
118.750
180.750
177.333
248.083
11.606
10.238
8.960
15.861
14.250
12.733
11.302
8.667
24.267
20.358
16.800
36.944
32.063
27.556
52.286
46.423
40.952
70.292
63.443
57.000
50.932
105.471
97.067
89.063
158.156
147.778
221.503
3.5 x 3.5 x .1875
3.5 x 3.5 x .25
3.5 x 3.5 x .3125
4 x 4 x .1875
4 x 4 x .25
4 x 4 x .3125
4 x -4x .375
4 x 4 x .5
5 x 5 x .25
5 x 5 x .375
5 x 5 x .5
6 x 6 x .25
6 x 6 x .375
6 x 6 x .5
7 x 7 x .25
7 x 7 x .375
7 x 7 x .5
8 x 8 x .25
8 x 8 x .375
8 x 8 x .5
8 x 8 x .625
10 x 10 x .375
10 x 10 x .5
10 x 10 x .625
12 x 12 x .375
12 x 12 x .5
14 x 14 x .375
PIPING ENGINEERING-POWER
ENGINEERING-READING
INFORMATION FOR INTERNAL USE ONLY
2
PIPING ENGINEERING STANDARDS
TABLE 14
WELD OUTLINE PROPERTIES FOR RECTANGULAR TUBE STEEL*
DS-2 PAGE1 6 c of 17
(p. 16c followed
by p. 16d)
(Welded All Around)
d = long side
y
b = short side
R/
d h
+
Aw=2kh+w+rrR
t = thickness
4
X R = 2t
Sx
h = d-2R
h3
2
d
3
w = b-2R
S
422
h -2
+W-
+2+
2
+h
h3+
+I
2+h)2
3+
c+2
2
Ic = 0.095 aRa
*Based on a corner radius of twice the thickness.
AS ZE
3 x 2 x .1875
3 x 2 x .25
4 x 2 x .1875
4 x 2 x .25
4 x 2 x .3125
4 x 3 x .1875
4 x 3 x .25
4 x 3 x .3125
5 x 2 x .25
5 x 3 x .25
5 x 3 x .375
5 x 4 x .25
5 x 4 x .375
6 x-2 x .25
6 x 2 x .375
6 x 3 x .25
6 x 3 x .375
6 x 4 x .25
6 x 4 x .375
6 x 4 x .5
B x 3 x .25
B x 3 x .375
8 x 4 x .25
8 x 4 x .375
8 x 4 x .5
8 x 6 x .25
8 x 6 x .375
8 x 6 x .5
10 x 4 x .25
10 x 4 x .375
10 x 4 x .5
10 x 6 x .25
10 x 6 x .375
10 x 6 x .5
0
Aw
Sx
9.356
9.142
11.356
11.142
10.927
13.356
13.142
12.927
13.142
15.142
14.712
17.142
16.712
15.142
14.712
17.142
16.712
19.142
18.712
18.283
21.142
20.712
23.142
22.712
22.283
27.142
26.712
26.283
27.142
26.712
26.283.
31.142
30.712
30.283
7.958
7.579
11.969
11.481
10.977
15.969
15.481
14.977
16.050
21.050
19.811
26.050
24.811
21.287
19.832
27.287
25.832
33.287
31.832
30.314
41.761
39.874
49.761
47.874
45.923
65.761
63.874
61.923
68.902
66.5B5
64.202
88.902
86.585
84.202
SY
J
6.615
18.552
17.713
6.345
32.552
8.615
31.306
8.345
8.062
30.017
13.958
52.874
13.579
51.329
13.184
49.732
10.345
50.471
16.579
77.494
15.776
73.193
23.481 112.087
22.459 106.947
12.345
76.206
11.766
71.262
19.579 111.229
18.776 105.659
27.481 . 154.823
26.459 148.413
25.380 141.703
25.579 205.412
24.776 196.661
35.481 270.006
34.459 260.415
33.380 250.452
57.287 434.905
55.832 422.992
54.314 410.635
43.481 431.472
42.459 417.841
41.380 403.768
69.287 652.371
67.832 636.418
66.314 619.951
CY
1.500
1.500
2.000
2.40,
2.000
2.000
2.000
2.000
2.500
2.500
2.500
2.500
2.500
3.000
3.000
3.000
3.000
3.000
3.000
3.000
4.000
4.000
4.000
4.000
4.000
4.000
4.000
4.000
5.000
5.000
5.000
5.000
5.000
5.000
Cx
1.000
1.000
1.000
1.000
1.000
1.500
1.500
1.500
1.000
1.500
1.500
2.000
2.000
1.000
1.000
1.500
1.500
2.000
2.000
2.000
1.500
1.500
2.000
2.000
2.000
3.000
3.000
3.000
2.000
2.000
2.000
3.000
3.000
3.000
PIPING ENGINEERING-POWER ENGINEERING-READING
INFORMATION FOR INTERNAL USE ONLY
M/y
JICX2
12.368
11.809
16.276
15.653
15.008
26.437
25.665
24.866
20.188
30.998
29.277
44.835
42.779
25.402
23.754
37.076
35.220
51.608
49.471
47.234
51.353
49.165
67.501
65.104
62.613
108.726
105.748
102.659
86.294
83.568
80.754
130.474
127.284
123.990
18.552
17.713
32.552
31.306
30.017
35.249
34.220
33.154
50.471
51.663
48.795
56.044
53.474
76.206
71.262
74.153
70.440
77.411
74.207
70.851
136.941
131.107
135.003
130.207
125.226
144.968
140.997
136.878
215.736
208.921
201.884
217.457
212.139
206.650
PIPING ENGINEERING STANDARDS
DS-2
PAGE 16d of 17
(p.16d followed
by p . 16e)
TABLE 15
WELD OUTLINE PROPERTIES FOR RECTANGULAR TUBE STEEL*
(Welded Two Long Sides and Around Corners)
d = long side
y
b = short side
t = thickness
dq h+R
Aw=2(h+nR)
= 2t
h
= d-2R J
3
Sz=4
[
+Ic+nR
-+y 2l
w = b-2R
r2
y
b
sY=
R
Ic=0.095R 3
h
J=2
Based on a corner radius of twice the thickness.
d SUE
-- y--x----------------------------------
Aw
Jw
SY
------------
6.856
7.142
8.856
9.142
9.427
8.856
9.142
3 x 2 x .1875
3 x 2 x .25
4 x 2 x .1875
4 x 2 x .25
4 x 2 x .3125
4 x 3 x .1875
4 x 3 x .25
SX
4.208
4.579
6.969
7.481
7.977
6.969
7.481
/
h+I +nR(+y)
+ h +2I+n
CY
Cx
+
+
+
3/CY
J/CX
------------------------
6.289
6.178
8.289
8.178
7.992
12.692
12.690
12.601
13.046
22.226
23.140
23.946
32.976
33.996
1.500
1.500
2.000
2.000
2.000
2.000
2.000
1.000
1.000
1.000
1.000
1.000
1.500
1.500
8.401
8.697
11.113
11.570
11.973
16.488
16.998
12.601
13.046
22.226
23.140
23.946
21.984
22.664
4 x 3 x .3125
9.427
7.977
12.589
34.838
2.000
1.500
17.419
23.226
5 x 2 x .25
5 x 3 x .25
5 x 3 x .375
5 x 4 x .25
5 x 4 x .375
6 x 2 x .25
6 x 2 x .375
6 x 3 x .25
6 x 3 x .375
6 x 4 x .25
6 x 4 x .375
6 x 4 x .5
8 x 3 x .25
8 x 3 x .375
8 x 4 x .25
8 x 4 x .375
8 x 4 x .5
8 x 6 x .25
8 x 6 x .375
8 x 6 x .5
10 x 4 x .25
10 x 4 x .375
10 x 4 x .5
10 x 6 x .25
10 x 6 x .375
10 x 6 x .5
11.142
11.142
11.712
11.142
11.712
13.142
13.712
13.142
13.712
13.142
13.712
14.283
17.142
17.712
17.142
17.712
18.283
17.142
17.712
18.283
21.142
21.712
22.283
21.142
21.712
22.283
11.050
11.050
12.311
11.050
12.311
15.287
16.832
15.287
16.832
15.287
16.832
18.314
25.761
27.874
25.761
27.874
29.923
25.761
27.874
29.923
38.902
41.585
44.202
38.902
41.585
44.202
10.178
15.690
15.401
21.231
21.157
12.178
11.746
18.690
18.401
25.231
25.157
24.713
24.690
24.401
33.231
33.157
32.713
50.343
50.769
50.759
41.231
41.157
40.713
62.343
62.769
62.759
37.804
51.160
53.880
70.087
73.093
58.040
62.241
73.896
78.097
96.323
100.809
104.369
140.079
148.098
169.506
177.811
185.119
254.072
263.804
271.968
276.972
290.237
302.434
381.538
396.230
409.284
2.500
2.500
2.500
2.500
2.500
3.000
3.000
3.000
3.000
3.000
3.000
3.000
4.000
4.000
4.000
4.000
4.000
4.000
4.000
4.000
5.000
5.000
5.000
5.000
5.000
5.000
1.000
1.500
1.500
2.000
2.000
1.000
1.000
1.500
1.500
2.000
2.000
2.000
1.500
1.500
2.000
2.000
2.000
3.000
3.000
3.000
2.000
2.000
2.000
3.000
3.000
3.000
15.122
20.464
21.552
28.035
29.237
19.347
20.747
24.632
26.032
32.108
33.603
34.790
35.020
37.025
42.376
44.453
46.280
63.518
65.951
67.992
55.394
58.047
60.487
76.308
79.246
81.857
37.804
34.107
35.920
35.044
36.546
58.040
62.241
49.264
52.065
48.161
50.405
52.185
93.386
98.732
84.753
88.905
92.559
84.691
87.935
90.656
138.486
145.119
151.217
127.179
132.077
136.428
0
PIPING ENGINEERING-POWER ENGINEERING-READING
INFORMATION FOR INTERNAL USE ONLY
rPING ENGINEERING STANDARDS
PAGE 16 e of 17
DS-2
(p .16e followed
by p.16f)
TABLE 16
WELD OUTLINE PROPERTIES FOR RECTANGULAR TUBE STEEL*
(Welded Two Short Sides and Around Corners)
y
d = long side
Aw=2(w+nR
b = short side
R
+
d ht
)21
nR (
+I
[w
-
thickness
X R=2t
h=d-2R
w
4
3
=b-2R
1
JW2
bR
-2
-11+1C+nR(-+v1
Sy=
+
( +)2+
+[+n
+
Ic= 0.0951tR 3
*Based on a corner radius of twice the thickness.
E
Aw
S
SY
3 x 2 x .1875
3 x 2 x .25
4 x 2 x .1875
4 x 2 x .25
4 x 2 x .3125
4 x 3 x .1875
4 x 3 x .25
4 x 3 x .3125
5 x 2 x .25
5 x 3 x .25
5 x 3 x .375
5 x 4 x .25
5 x 4 x .375
6 x 2 x .25
6 x 2 x .375
6 x 3 x .25
6 x 3 x .375
6 x 4 x .25
6 x 4 x .375
6 x 4 x .5
8 x 3 x .25
8 x 3 x .375
8 x 4 x .25
8 x 4 x .375
8 x 4 x .5
8 x 6 x .25
8 x 6 x .375
8 x 6 x .5
10 x 4 x .25
10 x 4 x .375
10 x 4 x .5
10 x 6 x .25
10 x 6 x .375
10 x 6 x .5
CY
J
-1--------------------------
CX
My
J/C
---------------------------------
4.856
5.142
4.856
5.142
5.427
6.856
6.692
6.690
9.108
9.231
9.244
13.108
2.115
2.345
2.115
2.345
2.562
4.208
12.153
12.380
20.331
20.806
21.051
32.528
1.500
1.500
2.000
2.000
2.000
2.000
1.000
1.000
1.000
1.000
1.000
1.500
8.102
8.253
10.165
10.403
10.525
16.264
12.153
12.380
20.331
20.806
21.051
21.685
7.142
13.231
4.579
33.329
2.000
1.500
16.665
22.220
7.427
5.142
7.142
7.712
9.142
9.712
5.142
5.712
7.142
7.712
9.142
9.712
10.283
7.142
7.712
9.142
9.712
10.283
13.142
13.712
14.283
9.142
9.712
10.283
13.142
13.712
14,283
13.244
11.784
16.784
16.953
21.784
21.953
14.343
14.769
20.343
20.769
26.343
26.769
26.759
27.469
28.431
35.469
36.431
36.923
51.469
52.431
52.923
44.602
46.114
47.135
64.602
66.114
67.135
4.934
2.345
4.579
5.276
7.481
8.459
2.345
2.766
4.579
5.276
7.481
8.459
9.380
4.579
5.276
7.481
8.459
9.380
15.287
16.832
18.314
7.481
8.459
9.380
15.287
16.832
18.314
33.890
31.804
48.827
50.297
69.421
71.801.
45.373
47.074
67.896
70.222
93.989
97.226
99.036
116.745
121.640
156.839
162.644
166.452
251.739
260.221
266.635
237.972
247.487
254.434
368.871
381.064
390.617
2.000
2.500
2.500
2.500
2.500
2.500
3,000
3.000
3.000
3.000
3.000
3.000
3.000
4.000
4.000
.4.000
4.000
4.000
4.000
4.000
4.000
5.000
5.000
5.000
5.000
5.000
5.000
1.500
1.000
1.500
1.500
2.000
2.000
1.000
1.000
1.500
1.500
2.000
2.000
2.000
1.500
1.500
2.000
2.000
2.000
3.000
3.000
3.000
2.000
2.000
2.000
3.000
3.000
3.000
16.945
12.722
19.531
20.119
27.768
28.720
15.124
15.691
22.632
23.407
31.330
32.409
33.012
29.186
30.410
39.210
40.661
41.613
62.935
65.055
66.659
47.594
49.497
50.887
73.774
76.213
78.123
22.594
31.804
32.551
33.531
34.710
35.901
45.373
47.074
45.264
46.815
46.995
48.613
49.518
77.830
81.093
78.419
81.322
83.226
83.913
86.740
88.878
118.986
123.744
127.217
122.957
127.021
130.206
PIPING ENGINEERING-POWER
ENGINEERING-READING
INFORMATION FOR INTERNAL USE ONLY
PIPING ENGINEERING STANDARDS
DS-2 PAGE16f of 17
(p.16f followed
TABLE 17
by p.160)
WELD OUTLINE PROPERTIES FOR RECTANGULAR TUBE STEEL*
(Welded Two Long Sides, Flats Only)
d = long side
y
Aw=2h
b = short side
Rr
h2
t = thickness
2t
X R
dth_+
Sx = 3
I
___
h = d-2R
sy=hb
w = b-2R
w
I
R
w= 2h\
+bry
b
Ic= 0.095nR 3
SIZE
Aw
*Based on a corner radius of twice the thickness.
Cx
3/CY
JCx
1.125
1.000
1.625
1.500
1.375
1.625
1.000
1.000
1.000
1.000
1.000
1.500
5.688
5.333
7.521
7.000
6.521
12.521
6.398
5.333
12.221
10.500
8.966
13.564
Sx
SY
J
CY
1.688
1.333
3.521
3.000
2.521
3.521
4.500
4.000
6.500
6.000
5.500
9.750
6.398
5.333
12.221
10.500
8.966
20.346
3 x 2 x .1875
3x 2x .25
4 x 2 x .1875
4 x 2 x .25
4 x 2 x .3125
4 x 3 x .1875
4.500
4.000
6.500
6.000
5.500
6.500
4 x 3 x .25
6.000
3.000
9.000
18.000
1.500
1.500
12.000
12.000
4 x 3 x .3125
5 x 2 x .25
5 x 3 x .25
5 x 3 x .375
5 x 4 x .25
5 x 4 x .375
6 x 2 x .25
6 x 2 x .375
6 x 3 x .25
6 x 3 x .375
6 x 4 x .25
6 x 4 x .375
6 x 4 x .5
8 x 3 x .25
8 x 3 x .375
8 x 4 x .25
8 x 4 x .375
8 x 4 x .5
8 x 6 x .25
8 x 6 x .375
8 x 6 x .5
10 x 4 x .25
10 x 4 x .375
10 x 4 x .5
10 x 6 x .25
10 x 6 x .375
10 x 6 x .5
5.500
8.000
8.000
7.000
8.000
7.000
10.000
9.000
10.000
9.000
10.000
9.000
8.000
14.000
13.000
14.000
13.000
12.000
14.000
13.000
12.000
18.000
17.000
16.000
18.000
17.000
16.000
2.521
5.333
5.333
4.083
5.333
4.083
8.333
6.750
8.333
6.750
8.333
6.750
5.333
16.333
14.083
16.333
14.083
12.000
16.333
14.083
12.000
27.000
24.083
21.333
27.000
24.083
21.333
8.250
8.000
12.000
10.500
16.000
14.000
10.000
9.000
15.000
13.500
20.000
18.000
16.000
21.000
19.500
28.000
26.000
24.000
42.000
39.000
36.000
36.000
34.000
32.000
54.000
51.000
48.000
15.841
18.667
28.667
22.896
42.667
35.146
30.833
24.188
43.333
35.438
60.833
51.188
42.667
88.667
75.021
113.167
97.771
84.000
183.167
162.771
144.000
193.500
170.354
149.333
283.500
255.354
229.333
1.375
2.000
2.000
1.750
2.000
1.750
2.500
2.250
2.500
2.250
2.500
2.250
2.000
3.500
3.250
3.500
3.250
3.000
3.500
3.250
3.000
4.500
4.250
4.000
4.500
4.250
4.000
1.500
1.000
1.500
1.500
2.000
2.000
1.000
1.000
1.500
1.500
2.000
2.000
2.000
1.500
1.500
2.000
2.000
2,000
3.000
3.000
3.000
2.000
2.000
2.000
3.000
3.000
3.000
11.521
9.333
14.333
13.083
21.333
20.083
12.333
10.750
17.333
15.750
24.333
22.750
21.333
25.333
23.083
32.333
30.083
28.000
52.333
50.083
48.000
43.000
40.083
37.333
63.000
60.083
57.333
10.561
18.667
19.111
15.264
21.333
17.573
30.833
24.188
28.889
23.625
30.417
25.594
21.333
59.111
50.014
56.583
48.885
42.000
61.056
54.257
48.000
96.750
85.177
74.667
94.500
85.118
76.444
J1
x
--------
0
---------------------------------------------------
PIPING ENGINEERING-POWER ENGINEERING-READING
INFORMATION FOR INTERNAL USE ONLY
4D9ARDS--
PAGE 16g of 1
DS-2
(p.16g followed
by p- 17)
TAE LE 18
STEEL*
E PROPERTIES FOR RFr TANCULAR TUBE
ded Two Short Sides, Mlats Only)
d = long side
y
Aw=2w
b = short side
sz=wd
t = thickness
I
+
d h
X R = 2t
Sy=-1w2
3
h = d-2R
2
w = b-2R
b
*Based on a corner radius of twice the thickness.
Ic=0.095TR3
Aw
SIZE
Sx
/
SY
J
CY
-
----------------------------------------
3 x 2 x ,1875
3 x 2 x .25
4 x 2 x .1875
4 x 2 x .25
4 x 2 x .3125
4 x 3 x .1875
4 x 3 x .25
4 x 3 x .3125
5x 2 x .25
5 x 3 x .25
5 x 3 x .375
5 x 4 x .25
5 x 4 x .375
6 x 2 x .25
6 x 2 x .375
6 x 3 x .25
6 x 3 x .375
6 x 4 x .25
6 x 4 x .375
6 x 4 x .5
8 x 3 x .25
8 x 3 x .375
8 x 4 x .25
8 x 4 x .375
8 x 4 x .5
8 x 6 x .25
9 x G x .375
8 x v : .5
10 x 4 x .25
10 x 4 x .375
10 x 4 x .5
10 x 6 x .25
10 x 6 x .375
10 x 6 x .5
2.500
2.000
2.500
2.000
~1.500
4.500
4.000
3.500
2.000
4.000
3.000
6.000
5.000
2.000
1.000
4.000
3.000
6.000
5.000
4.000
4.000
3.000
6.000
5000
4.000
10.000
9.000
8.000
6.000
5.000
4.000
10.000
9.000
8.000
3.750
3.000
5.000
4.000
3.000
9.000
8.000
7.000
5.000
10.000
7.500
15.000
12.500
6.000
3.000
12.000
9.000
18.000
15.000
12.000
16.000
12.000
24.000
20.000
16.000
40.000
36.000
32.000
30.000
25.000
20.000
50.000
45.000
40.000
0.521
0.333
0.521
0.333
0.188
1.688
1.333
1.021
0.333
1.333
0.750
3.000..
2.083
0.333
0.083
1.333
0.750
3.000
2.083
1.333
1.333
0,750
3.000
2,083
1.333
8.333
6.750
5.333
3.000
2.083
1.333
8.333
6.750
5.333
5.951
4.667
10.326
8.167
6.070
19.898
17.333
14.893
12.667
26.333
19.313
42.000
33.854
18.167
9.021
37.333
27.563
58.500
47.604
37.333
65.333
48.563
100.500
82.604
65.333
180.833
159.188
138.667
154.500
127.604
101.333
270.833
. 240.188
210.667
CX
1.500
1.500
2.000
2.000
2.000
2.000
2.000
2.000
2.500
2.500
2.500
2.500
2.500
3.000
3.000
3.000
3.000
3.000
3.000
3.000
4.000
4.000
4.000
4.000
4.000
4.000
4.000
4.000
5.000
5.000
5.000
5.000
5.000
5.000
M/CY
-
------
3.967
0.625
3.111
0.500
5.163
0.625
4.083
0.500
3.035
0.375
9.949
1.125
.8.667
1.000
7.447
0.875
5.067
0.500
10.533
1.000
7.725
0.750
16.800
1.500
13.542
1.250
6.056
0.500
3.007
0.250
12.444
1.000
9.188
0.750
19.500
1.500
15.868
1.250
12.444
1.000
16.333
1.000
12.141
0.750
25.125
1.500
20.651
1.250
16.333
1.000
45.208
2.500
39.797
2.250
34.667
2.000
30.900
1.500
25.521
1.250
20.267
1.000
x4.167
2.500
48.038
2.250
42.133
2.000
PIPING ENGINEERING-POWER ENGINEERINGREADING-INFORMATION FOR INTERNAL USE ONLY
J/Cx
-
9.521
9.333
16.521
16.333
16.188
17.688
17.333
17.021
25.333
26.333
25.750
28.000
27.083
36.333
36.083
37.333
36.750
39.000
38.083
37.333
65.333
64.750
67.000
66.083
65.333
72.33
7.750
69.333
103.000
102.0S.
101.37
108.7
106
10'