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RESEARCH PAPERS

Stress Classification Using the $r$-Node Method

[+] Author and Article Information
Ihab F. Fanous

Atomic Energy of Canada Ltd., 2251 Speakman Drive, Mississauga, ON-L5K 1B2, Canada

Faculty of Engineering & Applied Science, Memorial University of Newfoundland, St. John’s, Newfoundland A1B 3X5, Canada

J. Pressure Vessel Technol 129(4), 676-682 (Jun 28, 2006) (7 pages) doi:10.1115/1.2767357 History: Received March 04, 2006; Revised June 28, 2006

Abstract

The ASME Code Secs. III and VIII (Division 2) provide stress-classification guidelines to interpret the results of a linear elastic finite element analysis. These guidelines enable the splitting of the generated stresses into primary, secondary, and peak. The code gives some examples to explain the suggested procedures. Although these examples may reflect a wide range of applications in the field of pressure vessel and piping, the guidelines are difficult to use with complex geometries. In this paper, the $r$-node method is used to investigate the primary stresses and their locations in both simple and complex geometries. The method is verified using the plane beam and axisymmetric torispherical head. Also, the method is applied to analyze 3D straight and oblique nozzles modeled using both solid and shell elements. The results of the analysis of the oblique nozzle are compared with recently published experimental data.

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Topics: Stress , Stress , Membranes , Shells , Design

Figures

Figure 1

Results of stress analysis (9)

Figure 2

Coordinates of cross section

Figure 3

GLOSS diagram

Figure 4

Bending stress distribution of the initial elastic and redistribution analyses

Figure 5

Membrane plus bending stress distribution of the initial elastic and redistribution analyses

Figure 6

Schematic diagram of the indeterminate beam

Figure 7

Primary stress distribution along the beam

Figure 8

Primary stress for combined membrane and bending load

Figure 9

Schematic of the geometry with the expected hinge locations

Figure 10

Primary stress distribution along the vessel wall

Figure 11

Schematic diagram of the straight nozzle

Figure 12

Schematic diagram of the oblique nozzle as modeled by Sang (13)

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