ASME Section VIII div 2 2010. ASME Boiler and Pressure Vessel Code. Alternative Rules
Подождите немного. Документ загружается.
2010 SECTION VIII, DIVISION 2
4-225
Table 4.12.7 – Stress Calculations And Acceptance Criteria For Type 6 Noncircular Vessels
(Reinforced Octagonal Cross Section With Chamfered Corners)
Membrane And Bending Stresses – Defined Locations for Stress Calculation
2
2
21
0
YY
ii
bi bo A
ob
cc
SS MPpY YL
cIE
⎛⎞
⎡⎤
=− = + ≤ ≤
⎜⎟
⎣⎦
⎝⎠
()
2
2221
1
YY
ii
bi bo A
ob
cc
S S M PpY LY LL
cIE
⎛⎞
⎡⎤
=− = + ≤ ≤ +
⎜⎟
⎣⎦
⎝⎠
2
1
22
1
11
12
441 4 3 3
2
0
22
2
A
XX
ii
bi bo
ob
PpX
M
cc
SS XL
t
cIE
WL Lt LY L LY
⎡⎤
++
⎢⎥
⎛⎞
⎢⎥
=− = ≤ ≤
⎜⎟
⎢⎥
⎧⎫
⎛⎞
⎝⎠
++ −− +
⎨⎬
⎜⎟
⎢⎥
⎝⎠
⎩⎭
⎣⎦
()
2
1111
22
1
1
12
441 4 3 3
2
22
2
A
XX
ii
bi bo
ob
PpX
M
cc
SS LXLL
t
cIE
WL Lt LY L LY
⎡⎤
++
⎢⎥
⎛⎞
⎢⎥
=− = ≤ ≤ +
⎜⎟
⎢⎥
⎧⎫
⎛⎞
⎝⎠
++ −− +
⎨⎬
⎜⎟
⎢⎥
⎝⎠
⎩⎭
⎣⎦
2010 SECTION VIII, DIVISION 2
4-226
Table 4.12.7 – Stress Calculations And Acceptance Criteria For Type 6 Noncircular Vessels
(Reinforced Octagonal Cross Section With Chamfered Corners)
Equation Constants
3
1
1
12
p
t
I =
[
]
11
221 111 1
21 11
6
2
AB BC CD DE EF FG GH
A
KKKKKKK
MPp
II
R
LL UL L
II
π
++++++
=
⎡⎤
⎛⎞
⎧⎫ ⎧⎫
−+++++
⎢⎥
⎜⎟
⎨⎬ ⎨⎬
⎜⎟
⎢⎥⎩⎭ ⎩⎭
⎝⎠
⎣⎦
()
3
1
222
21
AB
I
KLDL
I
⎛⎞
=−
⎜⎟
⎝⎠
3
211 5 21 211
3
BC
KLLKLDL=+−
()
()
22
15 1 31 2 511 113
32 23
CD
KRKRRtLSY KESHSLR
θθ
θ
⎡⎤
⎡
⎤
=++−++ +−
⎣
⎦
⎣⎦
()
()
22
1
13 31 1 11 312 1 1
23
13 1 113 1
361cos
2
3cossin
DE
t
KUCCVEEWLUY E
UC E L U
θθ θ
θ
θ
θθ
⎡
⎤
⎡⎤
=++−− +−++
⎣⎦⎢⎥
⎣
⎦
⎡⎤
+−+
⎣⎦
(
)
22 2
31 32 1 1311131
32 33
EF ab
KRDMLJRRtGDSFSLM
α
⎡⎤
=+−++++−
⎣⎦
[
]
22 23
11 4 4 1 1 3 2 1 3 11 11
323
FG
KLLLtMLJ MLLL
⎡⎤
=++−+−+
⎣⎦
{}{}
()
2
2 3
1
14 4 41 1 11 32 11 1
11
32 2 2
GH
I
KLLLYLtMLLJLL
I
⎛⎞
⎡⎤
=++++−+−
⎜⎟
⎢⎥
⎣⎦
⎝⎠
标准分享网 www.bzfxw.com 免费下载
2010 SECTION VIII, DIVISION 2
4-227
Table 4.12.7 – Stress Calculations And Acceptance Criteria For Type 6 Noncircular Vessels
(Reinforced Octagonal Cross Section With Chamfered Corners)
Equation Constants
1C
Atp=
1
4221 1
tan sin
2
DE
ALLLR
θ
θ
⎡⎤
⎛⎞
⎛⎞
=−++
⎢⎥
⎜⎟
⎜⎟
⎝⎠
⎝⎠
⎣⎦
3221 1
sinCLL R
θ
=+ +
131E
CCNR=+−
211E
CEMR
θ
=+−
221
sin
M
M
CLLR
θ
=+ +
4
sin
NN
CLRR
β
=−+
242
6DLY=
34
DLR=−
4111 1
cosDLLR
θ
=+ +
()
11
1cosER
θ
θ
=−
()
1cos
MM
ER
θ
=−
()
11
1sinFR
θ
=−
()
1sin
NN
FR
β
=−
11
cosGR
θ
=
cos
NN
GR
β
=
11
sinHR
θ
θ
=
2
22 1
2
t
JY M=++
5221
KLL=+
()
13 111
M
LLL=− +
()
14 221
NL LL=− +
22
34
D
EDE
OLLA=+−
111
cos
K
N
OLLR
β
=+ +
11
2SRt
=
+
()()
22
11 1
UMRNR=−+−
21
0.5UU
=
221
sin
X
UU
θ
=
221
cos
Y
UU
θ
=
11 1
sinVt
θ
=
3A
VPpL
=
1
sin
M
M
Vt
θ
=
1
sin
NN
Vt
β
=
0.5WPp
=
11 1
cosWt
θ
=
1
cos
M
M
Wt
θ
=
1
cos
NN
Wt
θ
=
3
4
arctan
ab
L
L
α
⎡
⎤
=
⎢
⎥
⎣
⎦
31
arctan
M
M
C
LE
θ
β
⎡
⎤
=
⎢
⎥
−
⎣
⎦
4
111
arctan
N
LR
LL
β
⎡
⎤
−
=
⎢
⎥
+
⎣
⎦
4
1
3
arctan
L
L
θ
⎡
⎤
=
⎢
⎥
⎣
⎦
51
2
131
arctan
2
M
KS
R
RS L t
θ
⎡
⎤
−
=
⎢
⎥
−−
⎣
⎦
arctan
N
N
K
C
O
θ
⎡
⎤
=
⎢
⎥
⎣
⎦
2010 SECTION VIII, DIVISION 2
4-228
Table 4.12.7 – Stress Calculations And Acceptance Criteria For Type 6 Noncircular Vessels
(Reinforced Octagonal Cross Section With Chamfered Corners)
Acceptance Criteria – Critical Locations of Maximum Stress
A
m
SS≤
1.5
AA
mbi
SS S+≤
1.5
AA
mbo
SS S+≤
B
m
SS≤
1.5
BB
mbi
SS S+≤
1.5
BB
mbo
SS S+≤
C
m
SS≤
1.5
CC
mbi
SS S+≤
1.5
CC
mbo
SS S+≤
M
m
SS
≤
1.5
MM
mbi
SS S+≤
1.5
MM
mbo
SS S+≤
D
m
SS
≤
1.5
DD
mbi
SS S+≤
1.5
DD
mbo
SS S+≤
U
m
SS
≤
1.5
UU
mbi
SS S+≤
1.5
UU
mbo
SS S+≤
E
m
SS
≤
1.5
EE
mbi
SS S+≤
1.5
EE
mbo
SS S+≤
N
m
SS
≤
1.5
NN
mbi
SS S+≤
1.5
NN
mbo
SS S+≤
F
m
SS
≤
1.5
FF
mbi
SS S+≤
1.5
FF
mbo
SS S+≤
G
m
SS
≤
1.5
GG
mbi
SS S+≤
1.5
GG
mbo
SS S+≤
H
m
SS
≤
1.5
HH
mbi
SS S+≤
1.5
HH
mbo
SS S+≤
Acceptance Criteria – Defined Locations for Stress Calculation
1.5
YY
mbi
SS S+≤
1.5
YY
mbo
SS S+≤
Not Applicable
1.5
XX
mbi
SS S+≤
1.5
XX
mbo
SS S+≤
标准分享网 www.bzfxw.com 免费下载
2010 SECTION VIII, DIVISION 2
4-229
Table 4.12.7 – Stress Calculations And Acceptance Criteria For Type 6 Noncircular Vessels
(Reinforced Octagonal Cross Section With Chamfered Corners)
Nomenclature For Stress Results
A
m
S
membrane stress at point A.
,
AA
bi bo
SS bending stress at point A on the inside and outside surfaces, respectively.
B
m
S membrane stress at point B.
,
BB
bi bo
SS bending stress at point B on the inside and outside surfaces, respectively.
C
m
S membrane stress at point C.
,
CC
bi bo
SS
bending stress at point C on the inside and outside surfaces, respectively.
M
m
S membrane stress at point M.
,
M
M
bi bo
SS bending stress at point M on the inside and outside surfaces, respectively.
D
m
S membrane stress at point D.
,
D
D
bi bo
SS bending stress at point D on the inside and outside surfaces, respectively.
U
m
S
membrane stress at point U.
,
UU
bi bo
SS bending stress at point U on the inside and outside surfaces, respectively.
E
m
S membrane stress at point E.
,
EE
bi bo
SS bending stress at point E on the inside and outside surfaces, respectively.
N
m
S membrane stress at point N.
,
NN
bi bo
SS
bending stress at point N on the inside and outside surfaces, respectively.
F
m
S membrane stress at point F.
,
FF
bi bo
SS bending stress at point F on the inside and outside surfaces, respectively.
H
m
S membrane stress at point G.
,
GG
bi bo
SS bending stress at point G on the inside and outside surfaces, respectively.
H
m
S
membrane stress at point H.
,
H
H
bi bo
SS bending stress at point H on the inside and outside surfaces, respectively.
,
XX
bi bo
SS bending stress at a point defined by
X
on the inside and outside surfaces, respectively.
,
YY
bi bo
SS bending stress at a point defined by Y on the inside and outside surfaces, respectively.
2010 SECTION VIII, DIVISION 2
4-230
Table 4.12.8 – Stress Calculations And Acceptance Criteria For Type 7 Noncircular Vessels
(Rectangular Cross Section With Single Stay Plate Or Multiple Bars)
Membrane And Bending Stresses – Critical Locations of Maximum Stress
()
2
1
25
4
412
s
m
m
K
Ph
S
tE K
α
⎡⎤
⎛⎞
+−
⎢⎥
⎜⎟
=−
⎜⎟
+
⎢⎥
⎝⎠
⎣⎦
2
22
1
12
32
24 1 2
sC sC
ii
bi bo
ob
cPbc
K
SS Hh
cIE K
α
⎡⎤
⎛⎞
⎛⎞
+
=− = − +
⎢⎥
⎜⎟
⎜⎟
+
⎝⎠
⎝⎠
⎣⎦
2
2
1
12
12 1 2
sB sB
ii
bi bo
ob
cPbhc
K
SS
cIE K
α
⎛⎞
⎡⎤
+
=− =
⎜⎟
⎢⎥
+
⎣⎦
⎝⎠
2
2
l
m
m
PH
S
tE
=
(
)
2
2
2
13
12 1 2
lA lA
ii
bi bo
ob
K
cPbhc
SS
cIE K
α
⎡⎤
+−
⎛⎞
⎢⎥
=− =
⎜⎟
+
⎢⎥
⎝⎠
⎣⎦
2
2
2
12
12 1 2
lB lB
ii
bi bo
ob
cPbhc
K
SS
cIE K
α
⎛⎞
⎡⎤
+
=− =
⎜⎟
⎢⎥
+
⎣⎦
⎝⎠
()
2
3
25
212
st
m
st
K
Ph
S For A Stay Plate
tE K
α
⎡⎤
+−
⎢⎥
=
+
⎢⎥
⎣⎦
()
2
2
3
25
2
12
st
m
st
K
Php
S For Stay Bars
tE K
α
π
⎡⎤
+−
⎢⎥
=
+
⎢⎥
⎣⎦
Equation Constants
3
1
1
12
bt
I =
3
2
2
12
bt
I =
1
2
I
K
I
α
=
H
h
α
=
标准分享网 www.bzfxw.com 免费下载
2010 SECTION VIII, DIVISION 2
4-231
Table 4.12.8 – Stress Calculations And Acceptance Criteria For Type 7 Noncircular Vessels
(Rectangular Cross Section With Single Stay Plate Or Multiple Bars)
Acceptance Criteria – Critical Locations of Maximum Stress
s
m
SS≤
1.5
ssC
mbi
SS S+≤
1.5
ssC
mbo
SS S+≤
1.5
ssB
mbi
SS S+≤
1.5
ssB
mbo
SS S+≤
st
m
SS
≤
l
m
SS≤
1.5
ssA
mbi
SS S+≤
1.5
ssA
mbo
SS S+≤
1.5
ssB
mbi
SS S+≤
1.5
ssB
mbo
SS S+≤
Nomenclature For Stress Results
s
m
S
membrane stress in the short side.
,
s
BsB
bi bo
SS bending stress in the short side at point B on the inside and outside surfaces,
respectively.
,
s
CsC
bi bo
SS bending stress in the short side at point C on the inside and outside surfaces,
respectively.
,
s
XsX
bi bo
SS
bending stress in the short side at a point defined by
X
on the inside and outside
surfaces, respectively.
l
m
S membrane stress in the long side.
,
lB lB
bi bo
SS bending stress in the long side at point B on the inside and outside surfaces,
respectively.
,
lA lA
bi bo
SS
bending stress in the long side at point A on the inside and outside surfaces,
respectively.
,
lY lY
bi bo
SS bending stress in the long side at a point defined by Y on the inside and outside
surfaces, respectively.
s
t
m
S membrane stress in the stay bar or plate, as applicable.
2010 SECTION VIII, DIVISION 2
4-232
Table 4.12.9 – Stress Calculations And Acceptance Criteria For Type 8 Noncircular Vessels
(Rectangular Cross Section With Double Stay Plate Or Multiple Bars)
Membrane And Bending Stresses – Critical Locations of Maximum Stress
()
2
1
611
3
235
s
m
m
K
Ph
S
tE K
α
⎡⎤
⎛⎞
+−
⎢⎥
⎜⎟
=−
⎜⎟
+
⎢⎥
⎝⎠
⎣⎦
2
22
1
35
32
24 3 5
sC sC
ii
bi bo
ob
cPbc
K
SS Hh
cIE K
α
⎡⎤
⎛⎞
⎛⎞
+
=− = − +
⎢⎥
⎜⎟
⎜⎟
+
⎝⎠
⎝⎠
⎣⎦
2
2
1
35
12 3 5
sB sB
ii
bi bo
ob
cPbhc
K
SS
cIE K
α
⎛⎞
⎡⎤
+
=− =
⎜⎟
⎢⎥
+
⎣⎦
⎝⎠
2
2
l
m
m
PH
S
tE
=
(
)
2
2
2
36
12 3 5
lA lA
ii
bi bo
ob
K
cPbhc
SS
cIE K
α
⎡⎤
+−
⎛⎞
⎢⎥
=− =
⎜⎟
+
⎢⎥
⎝⎠
⎣⎦
2
2
2
35
12 3 5
lB lB
ii
bi bo
ob
cPbhc
K
SS
cIE K
α
⎛⎞
⎡⎤
+
=− =
⎜⎟
⎢⎥
+
⎣⎦
⎝⎠
()
2
4
611
235
st
m
st
K
Ph
S For A Stay Plate
tE K
α
⎡⎤
+−
⎢⎥
=
+
⎢⎥
⎣⎦
()
2
2
4
611
2
35
st
m
st
K
Php
S For Stay Bars
tE K
α
π
⎡⎤
+−
⎢⎥
=
+
⎢⎥
⎣⎦
Equation Constants
3
1
1
12
bt
I =
3
2
2
12
bt
I =
1
2
I
K
I
α
=
H
h
α
=
标准分享网 www.bzfxw.com 免费下载
2010 SECTION VIII, DIVISION 2
4-233
Table 4.12.9 – Stress Calculations And Acceptance Criteria For Type 8 Noncircular Vessels
(Rectangular Cross Section With Double Stay Plate Or Multiple Bars)
Acceptance Criteria - Critical Locations of Maximum Stress
s
m
SS≤
1.5
ssC
mbi
SS S+≤
1.5
ssC
mbo
SS S+≤
1.5
ssB
mbi
SS S+≤
1.5
ssB
mbo
SS S+≤
st
m
SS
≤
l
m
SS≤
1.5
llA
mbi
SS S+≤
1.5
llA
mbo
SS S+≤
1.5
llB
mbi
SS S+≤
1.5
llB
mbo
SS S+≤
Nomenclature For Stress Results
s
m
S
membrane stress in the short side.
,
s
BsB
bi bo
SS bending stress in the short side at point B on the inside and outside surfaces,
respectively.
,
s
CsC
bi bo
SS bending stress in the short side at point C on the inside and outside surfaces,
respectively.
,
s
XsX
bi bo
SS
bending stress in the short side at a point defined by
X
on the inside and outside
surfaces, respectively.
l
m
S membrane stress in the long side.
,
lB lB
bi bo
SS bending stress in the long side at point B on the inside and outside surfaces,
respectively.
,
lA lA
bi bo
SS
bending stress in the long side at point A on the inside and outside surfaces,
respectively.
,
lY lY
bi bo
SS bending stress in the long side at a point defined by Y on the inside and outside
surfaces, respectively.
s
t
m
S membrane stress in the stay bar or plate, as applicable.
2010 SECTION VIII, DIVISION 2
4-234
Table 4.12.10 – Stress Calculations And Acceptance Criteria For Type 9 Noncircular Vessels
(Obround Cross Section)
Membrane And Bending Stresses – Critical Locations of Maximum Stress
1
cB
m
m
PR
S
tE
=
2
1
2
1
3
6
cB cB
ii
bi bo
ob
cPbLc
C
SS L
cIE A
⎛⎞
⎡⎤
=− = −
⎜⎟
⎢⎥
⎣⎦
⎝⎠
()
2
1
cC
m
m
PR L
S
tE
+
=
()
2
1
2
1
32
6
cC cC
ii
bi bo
ob
cPbLc
C
SS LR
cIE A
⎛⎞
⎡⎤
=− = + −
⎜⎟
⎢⎥
⎣⎦
⎝⎠
1
l
m
m
PR
S
tE
=
21
2
2
62
lA lA
ii
bi bo
ob
cPbLCc
t
SS
cAIE
⎛⎞
⎛⎞
=− =
⎜⎟
⎜⎟
⎝⎠
⎝⎠
2
1
2
2
3
6
lB lB
ii
bi bo
ob
cPbLc
C
SS L
cIE A
⎛⎞
⎡⎤
=− = −
⎜⎟
⎢⎥
⎣⎦
⎝⎠
Membrane And Bending Stresses – Defined Locations for Stress Calculation
2
21
2
62
lY lY
ii
bi bo
ob
cPc
LC Y
SS
cIE A
⎡⎤
⎛⎞
−
=− = +
⎢⎥
⎜⎟
⎝⎠
⎣⎦
Equation Constants
3
1
1
12
bt
I =
3
2
2
12
bt
I =
22
1
2
LI
AR
R
I
π
⎡⎤
⎛⎞
⎛⎞
=+
⎢⎥
⎜⎟
⎜⎟
⎝⎠
⎝⎠
⎣⎦
2
2
2222
1
11
23 12
LLII
CR
R
RI I
π
⎡⎤
⎛⎞ ⎛⎞
⎛⎞ ⎛⎞
=+ +
⎢⎥
⎜⎟ ⎜⎟
⎜⎟ ⎜⎟
⎝⎠ ⎝⎠
⎢⎥
⎝⎠ ⎝⎠
⎣⎦
标准分享网 www.bzfxw.com 免费下载