The objective of this paper is to investigate the elastic strength of cylindrical vessels with hillside nozzle under out-of-plane moment on the nozzle. A total of 5 model vessels with different hillside nozzle angles and loading directions were fabricated for study by experimental and finite element numerical simulation methods. The results indicate that an obvious stress concentration exists at the intersection area between vessel and nozzle. The maximum elastic stress occurs at the inside corner of the nozzle-cylinder intersection in transverse section of the cylinders. The dominant stress is the circumferential stress in the cylindrical vessels. The maximum elastic stress and the stress ratio decrease with an increase in the hillside nozzle angle and so does the nozzle displacement.

Issue Section:
Design and Analysis
Keywords:
elasticity, finite element analysis, nozzles, pressure vessels, shells (structures), stress analysis, hillside nozzle, elastic stress distribution, stress ratio, experimental study, numerical simulation
Topics:
Cylinders, Finite element analysis, Nozzles, Stress, Vessels, Stress concentration
1.
Steele
,
C. R.
, and
Steele
,
M. L.
, 1983, “
Stress Analysis of Nozzles in Cylindrical Vessels with External load
,”
ASME J. Pressure Vessel Technol.
0094-9930,
105
(
3
), pp.
191
–
200
.
Crossref
Search ADS
 
2.
Junker
,
A. T.
, 1985, Finite Element Analysis of the Limit Load of a Nozzle in a Cylindrical Vessel Due to In-Plane and Out-of-Plane Moments, Swanson Engineering Associates Corporation (SEAC), Report No. SEAC-TR-312, RW.2.
3.
Sang
,
Z. F.
,
Xue
,
L. P.
,
Lin
,
Y. J.
, and
Widera
,
G. E. O.
, 2002, “
Limit and Burst Pressure for a Cylindrical Shell Intersection With Intermediate Diameter Ratio
,”
Int. J. Pressure Vessels Piping
0308-0161,
79
(
5
), pp.
341
–
349
.
Crossref
Search ADS
 
4.
Sang
,
Z. F.
,
Wang
,
Z. L.
,
Xue
,
L. P.
, and
Widera
,
G. E. O.
, 2005, “
Plastic limit loads of nozzles in cylindrical vessels under out-of-plane moment loading
,”
Int. J. Pressure Vessels Piping
0308-0161,
82(8)
, pp.
638
–
648
.
5.
Widera
,
G. E. O.
, and
Xue
,
L.
, 2004, “
Guidelines for FEA Modeling of Cylinder-Cylinder Intersections
,”
Welding Research Council Bulletin No. 493
.
6.
Widera
,
G. E. O.
, and
Wei
,
Z.
, 2004, “
Parametric Finite Element Analysis of Large Diameter Shell Intersections (External Loadings)
,”
Welding Research Council Bulletin No. 497
.
7.
Xu
,
J. J.
,
Sun
,
B. C.
, and
Koplik
,
B.
, 1997, “
Local Pressure Stresses on Lateral Pipe-Nozzle With a 45 Degree Angle Intersection
,”
ASME Pressure Vessels and Piping Division Publ. PVP
,
356
, pp.
15
–
24
.
8.
James
,
J. X.
,
Sun
,
B. C.
, and
Koplik
,
B.
, 2000, “
Local Pressure Stresses on Lateral Pipe-Nozzle With Various Angles of Intersection
,”
Nucl. Eng. Des.
0029-5493,
199
, pp.
335
–
340
.
9.
Mershon
,
J. L.
, 1970, “
Interpretive Report on Oblique Nozzle Connections in Pressure Vessel Heads and Shells Under Internal Pressure Loading
,”
Welding Research Council Bulletin No. 153
.
10.
American Society of Mechanical Engineers
, ASME Boiler and Pressure Vessel Code, 2004 Edition, Section III, Division 1.
11.
Hazlett
,
T.
, 1990, “
Three Dimensional Parametric Finite Element Analyses of Hillside Connections in Cylinders Subject to Internal Pressure
,”
Proceedings of the 1990 ASME Pressure Vessels and Piping Conference, The Pressure Vessel and Piping Division
, pp.
141
–
145
.
12.
Skopinsky
,
V. N.
, 1993, “
Numerical Stress Analysis of Intersecting Cylindrical Shells
,”
ASME J. Pressure Vessel Technol.
0094-9930,
115
, pp.
275
–
282
.
Crossref
Search ADS
 
13.
Rodabaugh
,
E. C.
, 2000, “
Code Rules for Internal Pressure Design of Isolated Nozzles in Cylindrical Vessels with d∕D⩽1.0
,”
Welding Research Bulletin No. 451
.
14.
Wang
,
H. F.
,
Sang
,
Z. F.
,
Xue
,
L. P.
, and
Widera
,
G. E. O.
, 2006, “
Elastic Stresses of Pressurized Cylinders With Hillside Nozzle
,”
ASME J. Pressure Vessel Technol.
0094-9930,
128
, pp.
625
–
631
.
Crossref
Search ADS
 
15.
Petrovic
,
A.
, 2001, “
Stress Analysis in Cylindrical Pressure Vessels with Loads Applied to the Free End of a Nozzle
,”
Int. J. Pressure Vessels Piping
0308-0161,
78
(
7
), pp.
485
–
493
.
Crossref
Search ADS
 
16.
ANSYS
, 2002, ANSYS 6.1 Program Documentation.
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