A universal design method for pressurized cylindrical shells with attached nozzles subjected to external forces (moments) and internal pressure are presented, based on theoretical stress analysis. The applicable ranges of the presented design methods are extended to ρ0=d/D0.9 and λ=d/(DT)1/212. As a first step of design, the required reinforcement thicknesses, both of the main shell and nozzle due to internal pressure, can be determined by the presented theoretical solutions. When the junction is subjected to external nozzle loads, the next step is to determine the absolute values of dimensionless longitudinal and circumferential, normal and shear, membrane and bending stresses in the shell at the junction subjected to internal pressure, and six external nozzle load components by reading out from a number of sets of curves calculated by the present theoretical method. Then the stress components at eight examination points are calculated and superimposed for the combined loads. Finally, the membrane and primary plus secondary stress intensities can be calculated, respectively, to meet the design criteria.

1.
ASME
, 2007,
Boiler and Pressure Vessel Code, Sec. VIII-1
,
ASME
,
New York
.
2.
China National Standard
, “
Steel Pressure Vessels
,” Paper No. GB-150-1998.
3.
Wichman
,
K. R.
,
Hopper
,
A. G.
, and
Mershon
,
J. L.
, 1965, “
Local Stresses in Spherical and Cylindrical Shells Due to External Loadings
,” WRC Bulletin No. 107.
4.
Mershon
,
J. L.
,
Mokhtarrian
,
K.
,
Ranjan
,
G. V.
, and
Rodabaugh
,
E. C.
, 1984, “
Local Stresses in Cylindrical Shells Due to External Loadings on Nozzle Supplement to WRC Bulletin No.107
,” WRC Bulletin No. 297.
5.
Bijlaard
,
P. P.
, 1955, “
Stresses From Local Loading in Cylindrical Pressure Vessels
,”
Trans. ASME
0097-6822,
77
, pp.
805
812
.
6.
Bijlaard
,
P. P.
, 1955, “
Stresses from Radial Loads and External Moments in Cylindrical Pressure Vessels
,”
Weld. J. (Miami, FL, U.S.)
0043-2296,
34
(
11
), pp.
608
-s–617-
s
.
7.
Steele
,
C. R.
, and
Steele
,
M. L.
, 1983, “
Stress Analysis of Nozzle in Cylindrical Vessels With External Load
,”
ASME J. Pressure Vessel Technol.
0094-9930,
105
, pp.
191
200
.
8.
Xue
,
M. D.
,
Li
,
D. F.
, and
Hwang
,
K. C.
, 2005, “
A Thin Shell Theoretical Solution for Two Intersecting Cylindrical Shells Due to External Branch Pipe Moments
,”
ASME J. Pressure Vessel Technol.
0094-9930,
127
(
4
), pp.
357
368
.
9.
Xue
,
M. D.
,
Li
,
D. F.
, and
Hwang
,
K. C.
, 2005, “
Theoretical Stress Analysis of Two Intersecting Cylindrical Shells Subjected to External Loads Transmitted Through Branch Pipes
,”
Int. J. Solids Struct.
0020-7683,
42
, pp.
3299
3319
.
10.
Xue
,
M. D.
,
Du
,
Q. H.
,
Li
,
D. F.
, and
Hwang
,
K. C.
, 2006, “
Theoretical Stress Analysis of Intersecting Cylindrical Shells Subjected to External Forces on Nozzle
,”
ASME J. Pressure Vessel Technol.
0094-9930,
128
(
1
), pp.
71
83
.
11.
Xue
,
M. D.
,
Hwang
,
K. C.
,
,
W.
, and
Chen
,
W.
, 1996, “
A Reinforcement Design Method Based on Analysis of Large Openings in Cylindrical Pressure Vessels
,”
ASME J. Pressure Vessel Technol.
0094-9930,
118
, pp.
502
506
.
12.
Xue
,
M. D.
,
Du
,
Q. H.
,
Li
,
D. F.
, and
Hwang
,
K. C.
, 2006, “
A Stress Analysis Method for Cylindrical Shells With Nozzles Subjected to Internal Pressure, External Forces and Moments
,”
Proceedings of the 2006 ASME Pressure Vessels and Piping Division Conference—ASME PVP2006/ICPVT-11 Conference
, Vancouver, BC, Canada, July 23–27.
13.
China National Standards Committee on Pressure Vessels
, 1995, “
Steel Pressure Vessels—Design by Analysis
,” Professional Standards of China JB-4732-95. Version 2 in 2005, Beijing, China (in Chinese).
14.
Rodabaugh
,
E. C.
, and
Cloud
,
R. L.
, 1968, “
Proposed Reinforcement Design Procedure for Radial Nozzles in Cylindrical Shells With Internal Pressure
,” Phase Report No. 4.
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