ASME Section VIII div 2 2010. ASME Boiler and Pressure Vessel Code. Alternative Rules
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2010 SECTION VIII, DIVISION 2
4-245
Table 4.12.15 – Compressive Stress Calculations
Notes
Notes:
1. The equations for
A
K and
B
K are:
()
2
1.4597 0.30384
max 5.2184 , 5.50
A
Kx
xx
⎡⎤
⎛⎞
=++
⎜⎟
⎢⎥
⎝⎠
⎣⎦
(4.12.58)
()
2
1.4597 0.30384
5.2184 0.258
B
Kx forx
xx
=++ ≥
(4.12.59)
()
1.0 0.258
B
Kx forx=<
(4.12.60)
2. The membrane equations for
mA
S in this table apply to vessels where the long plate thicknesses
are equal. If the thicknesses are not equal, replace
2
2t with
(
)
222
tt+ in the calculations.
3. The membrane equation
mB
S in this table for the long side plate applies to vessels where the long
plate thicknesses are equal. If the thicknesses are not equal, the membrane stress for the long side
plates shall be determined in accordance with Table 4.12.3.
4. Note in the above nomenclature,
AA
v
H
KKx
L
⎛⎞
==
⎜⎟
⎝⎠
is defined as computing
A
K using the
function
()
A
Kx evaluated at
v
H
x
L
=
.
2010 SECTION VIII, DIVISION 2
4-246
4.12.13 Figures
X
CB
A
t
2
H/2
t
2
t
1
Y
h/2
h/2
t
1
Notes:
1. Critical Locations of Maximum Stress are defined at points A, B, and C.
2. Defined Locations for Stress Calculations are determined using variables X and Y.
Figure 4.12.1 – Type 1 Noncircular Vessels
(Rectangular Cross Section)
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2010 SECTION VIII, DIVISION 2
4-247
Y
22
B
C
A
t
22
t
2
t
1
h/2
h/2
t
1
D
Y
2
H/2
Notes:
1. Critical Locations of Maximum Stress are defined at points A, B, C, and D.
2. Defined Locations for Stress Calculations are determined using variables
2
Y and
22
Y .
Figure 4.12.2 – Type 2 Noncircular Vessels
(Rectangular Cross Section With Unequal Side Plate Thicknesses)
2010 SECTION VIII, DIVISION 2
4-248
t
1
θ
L
2
L
2
L
1
DC
L
1
R
Y
A
B
X
Notes:
1. Critical Locations of Maximum Stress are defined at points A, B, C, and D.
2. Defined Locations for Stress Calculations are determined using variables X and Y.
Figure 4.12.3 – Type 3 Noncircular Vessels
(Chamfered Rectangular Cross Section)
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2010 SECTION VIII, DIVISION 2
4-249
Notes:
1. Critical Locations of Maximum Stress are defined at points A, B, and C.
2. Defined Locations for Stress Calculations are determined using variables X and Y.
Figure 4.12.4 – Type 4 Noncircular Vessels
(Reinforced Rectangular Cross Section)
2010 SECTION VIII, DIVISION 2
4-250
L
1
L
1
L
11
L
11
t
2
A
Y
B
C
X
L
4
L
3
L
21
L
2
L
2
L
21
G
θ
D
R
t
t
1
= t
2
F
E
t
2
t
1
= t
2
Notes:
1. Critical Locations of Maximum Stress are defined at points A, B, C, E, F, and G.
2. Defined Locations for Stress Calculations are determined using variables X and Y.
Figure 4.12.5 – Type 5 Noncircular Vessels
(Reinforced Rectangular Cross Section With Chamfered Corners)
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2010 SECTION VIII, DIVISION 2
4-251
A
H
t
2
t
2
t
1
P
R, The radius Must Be The
Same At All Eight Corners
C
L
t
1
GF
E
C
B
L
1
L
11
L
21
L
2
L
2
U
D
L
21
U
1
Note: Critical Locations of Maximum Stress are defined at points A, B, C, E, F, G, and H.
Figure 4.12.6 –Type 6 Noncircular Vessels
(Reinforced Octagonal Cross Section With Chamfered Corners)
2010 SECTION VIII, DIVISION 2
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L
1
C
L
L
4
NA
t
1
N
1
X
C
L
N
θ
1
θ
M
β
β
N
F
A
B
C
D
M
1
θ
M
θ
U
1
/2
R, The radius
Must Be The
Same At All
Eight Corners
U
1
L
2
t
2
= t
1
L
21
NA
V
A
M
A
L
3
H
M
H
Y
1
H
H
M
1
L
11
α
ab
Y
plate
Y
2
G
N
E
U
Notes:
1. Critical Locations of Maximum Stress are defined at points A, B, C, E, F, G, H, M, N, and U.
2. Defined Locations for Stress Calculations are determined using variables X and Y.
Figure 4.12.7 –Type 6 Noncircular Vessels
(Reinforced Octagonal Cross Section With Chamfered Corners – Details)
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2010 SECTION VIII, DIVISION 2
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B
t
1
t
2
h
Stay
P
C
A
H/2
P
h
t
3
t
2
t
1
Note: Critical Locations of Maximum Stress are defined at points A, B, and C.
Figure 4.12.8 – Type 7 Noncircular Vessels
(Rectangular Cross Section With Single Stay Plate Or Multiple Bars)
2010 SECTION VIII, DIVISION 2
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t
1
h
h
t
4
t
4
h
t
1
Stay
Stay
A
A
CB
P
P
P
t
2
H/2
t
2
Note: Critical Locations of Maximum Stress are defined at points A, B, and C.
Figure 4.12.9 – Type 8 Noncircular Vessels
(Rectangular Cross Section With Double Stay Plate Or Multiple Bars)
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