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Research Papers: Design and Analysis

Effect of Pad Reinforcement on the Plastic Limit Load for Nozzle Connection of Cylindrical Vessel

[+] Author and Article Information
V. N. Skopinsky

Department of Technical Mechanics,
Moscow State Industrial University,
Avtozavodskaya 16,
Moscow 115280, Russia
e-mail: svn46_46@mail.ru

N. A. Berkov

Department of General Mathematics,
Moscow State Industrial University,
Avtozavodskaya 16,
Moscow 115280, Russia

R. A. Vozhov

Department of Technical Mechanics,
Moscow State Industrial University,
Avtozavodskaya 16,
Moscow 115280, Russia

Contributed by the Pressure Vessel and Piping Division of ASME for publication in the JOURNAL OF PRESSURE VESSEL TECHNOLOGY. Manuscript received March 21, 2014; final manuscript received August 12, 2014; published online October 15, 2014. Assoc. Editor: Kunio Hasegawa.

J. Pressure Vessel Technol 137(2), 021207 (Oct 15, 2014) (7 pages) Paper No: PVT-14-1048; doi: 10.1115/1.4028301 History: Received March 21, 2014; Revised August 12, 2014

The objective of this paper is the further investigation of the shell intersection problem. The pad reinforced nozzle connections of the cylindrical vessel under internal and external loads are investigated using elastic–plastic analysis and the stress analysis in intersecting shells (SAIS) special-purpose computer program. The method for determining the plastic limit load based on the maximum criterion of the rate of the change of the relative plastic work and program module LOAD_PL for its realization are presented. The results of comparisons with the twice elastic-slope (TES) method were considered for determining the plastic limit load using known experimental data for models of a pad reinforced cylindrical vessel with a radial nozzle under a transverse force. The results of a parametric study of unreinforced and pad reinforced vessel models with a nozzle under internal pressure, in-plane moment, and out-plane moment loadings are discussed.

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References

ASME, 2004, ASME Boiler and Pressure Vessel Code, Sec. VIII, American Society of Mechanical Engineering, NY.
PD 5500:2006, 2006, Specification for Unfired Fusion Welded Pressure Vessels, British Standards Institution, London.
GOST Р 52857.1–Р 52857.12, 2008, Vessels and Apparatuses. Norms and Methods of Strength Calculation, Standartinform, Moscow, Russia.
Skopinsky, V. N., 2010, “The Problem of Determining Limit Plastic Load for Intersecting Shells,” Chem. Pet. Eng., 6, pp. 18–21. [CrossRef]
Skopinsky, V. N., 1998, “Comparative Study of Reinforced Nozzle Connections,” Nucl. Eng. Des., 180(2), pp. 175–179. [CrossRef]
Skopinsky, V. N., and Smetankin, A. B., 2003, “Parametric Study of Reinforcement of Pressure Vessel Head With Offset Nozzle,” Int. J. Pressure Vessels Pip., 80(5), pp. 333–343. [CrossRef]
Sang, Z. F., Li, L., Zhou, Y. J., and Widera, G. E. O., 1999, “Effect of Gap Between Pad and Vessel for Moment Loading on Nozzle,” ASME J. Pressure Vessel Technol., 121(2), pp. 225–231. [CrossRef]
Xue, L., Widera, G. E. O., and Sang, Z. F., 2003, “Influence of Pad Reinforcement on the Limit and Burst Pressures of a Cylinder-Cylinder Intersection,” ASME J. Pressure Vessel Technol., 125(2), pp. 182–187. [CrossRef]
Sang, Z. F., Wang, H. F., Xue, L. P., and Widera, G. E. O., 2006, “Plastic Limit Loads of Pad Reinforced Cylindrical Vessels Under Out-of-Plane Moment of Nozzle,” ASME J. Pressure Vessel Technol., 128(1), pp. 49–56. [CrossRef]
Fang, J., Tang, Q. H., and Sang, Z. F., 2009, “A Comparative Study of Usefulness for Pad Reinforcement in Cylindrical Vessels Under External Load on Nozzle,” Int. J. Pressure Vessel Pip., 86(4), pp. 273–279. [CrossRef]
Kim, Y.-J., Myeong, M.-S., and Yoon, K.-B., 2009, “Effect of Reinforcement on Plastic Limit Loads of Branch Junctions,” Int. J. Pressure Vessel Pip., 86(8), pp. 508–516. [CrossRef]
Skopinsky, V. N., 2008, Stresses in Intersecting Shells, Fizmatlit, Мoscow, Russia, p. 400 (Cкопинский В. Н. Напpяжения в пеpесекающихся оболочках. — М.: ФИЗМАТЛИТ, 2008. — 400 с).
Skopinsky, V. N., 1999, “Theoretical Analysis of Composite Shell Intersections,” J. Strain Anal., 34(2), pp. 107–116. [CrossRef]
Nayak, G. G., and Zienkiewicz, O. C., 1973, “Elasto-Plastic Stress Analysis. A Generalization for Various Constitutive Relations Including Strain Softening,” Int. J. Numer. Methods Eng., 5(1), pp. 113–135. [CrossRef]
Gerdeen, J. C., 1979, A Critical Evaluation of Plastic Behavior Data and a Unified Definition of Plastic Loads for Pressure Components (Bulletin), Welding Research Council, New York, Vol. 254, pp. 1–64.
Skopinsky, V. N., and Berkov, N. A., 2013, “New Criterion for the Definition of Plastic Limit Load in Nozzle Connections of Pressure Vessels,” ASME J. Pressure Vessel Technol., 135(2), p. 021206. [CrossRef]

Figures

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Fig. 1

Window of Load_PL module

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Fig. 2

Geometry of experimental models tested in Ref. [9]: S1—sensor no. 1

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Fig. 3

Finite-element mesh for model J1p

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Fig. 4

Load–displacement curves for model no. J1p (sensor no. 1) tested in Ref. [9]: 1—Experimental curve, 2—Numerical curve (Ansys program), and 3—Numerical curve (SAIS program)

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Fig. 6

Engineering stress–strain curve for steel 20 пс

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Fig. 7

Effect of relative width L¯p and relative thickness H¯p of pad reinforcement on plastic limit pressure

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Fig. 8

Effect of relative width L¯p and relative thickness H¯p of pad reinforcement on plastic limit in-plane moment

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Fig. 9

Effect of relative width L¯p and relative thickness H¯p of pad reinforcement on plastic limit out-plane moment

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Fig. 5

Schematic drawing of model under in-plane moment (Mi) and out-plane moment (Mo) loadings

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