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Research Papers: Design and Analysis

Strength Model Uncertainties of Burst, Yielding, and Excessive Bending of Piping

[+] Author and Article Information
Kleio Avrithi

Center for Technology and Systems Management, Department of Civil and Environmental Engineering, University of Maryland, College Park, MD 20742

Bilal M. Ayyub1

Center for Technology and Systems Management, Department of Civil and Environmental Engineering, University of Maryland, College Park, MD 20742ba@umd.edu

1

Corresponding author.

J. Pressure Vessel Technol 131(3), 031207 (Apr 17, 2009) (11 pages) doi:10.1115/1.3109983 History: Received December 02, 2007; Revised October 06, 2008; Published April 17, 2009

Nuclear safety-piping is designed according to the ASME Boiler and Pressure Vessel Code, Sections III, NB-, NC-, and ND-3600 that use the allowable stress design method (ASD). The potential use instead of reliability-based design equations for nuclear piping could benefit the structural design by providing, among others, consistent reliability levels for piping. For the development of such equations, not only the probabilistic characteristics of the design variables are needed, but also the quantification of the uncertainties introduced by the strength models that are used in order to estimate the resistance of pipes subjected to different loadings. This paper evaluates strength models, and therefore provides necessary information for the reliability-based design of pipes for burst or yielding due to internal pressure and for excessive bending.

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Copyright © 2009 by American Society of Mechanical Engineers
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References

Figures

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Figure 1

Steps for the development of load and resistance factor equations for pipes

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Figure 2

(a) Total bias of burst pressure for model 1, (b) total bias of burst pressure for model 2, (c) total bias of burst pressure for model 3, (d) total bias of burst pressure for model 4, (e) total bias of burst pressure for model 5, (f) total bias of burst pressure for model 6, and (g) total bias of burst pressure for model 7

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Figure 3

(a) Total bias of yield pressure for model 1 and carbon steel, (b) total bias of yield pressure for model 2 and carbon steel, (c) total bias of yield pressure for model 3 and carbon steel, (d) total bias of yield pressure for model 4 and carbon steel, (e) total bias of yield pressure for model 5 and carbon steel, (f) total bias of yield pressure for model 6 and carbon steel, and (g) total bias of yield pressure for model 7 and carbon steel

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Figure 4

Perfectly plastic and bilinear approximations of steel behavior

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Figure 5

Total bias for the bending resistance according to Eq. 8 for Do/t>75 and carbon steel

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Figure 6

Total bias for the bending resistance according to Eq. 8, (a) stainless steel for Do/t<50 and (b) carbon steel for Do/t<65

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Figure 7

Total bias for the bending resistance according to Eq. 10 for Do/t<50 (a) stainless steel and (b) carbon steel

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Figure 8

Total bias for the bending resistance with internal pressure for stainless steel and Do/t<50 (a) according to Eq. 8 and (b) according to Eq. 10

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