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Research Papers: Design and Analysis

Performance-Based Reliability of ASME Piping Design Equations

[+] Author and Article Information
Abhinav Gupta

Director
Center for Nuclear Energy
Facilities and Structures,
Department of Civil Construction and
Environmental Engineering,
North Carolina State University,
Raleigh, NC 27695
e-mail: agupta1@ncsu.edu

Rakesh K. Saigal

Department of Civil Construction and Environmental Engineering,
North Carolina State University,
Raleigh, NC 27695
e-mail: rksaigal@gmail.com

Yonghee Ryu

Department of Civil Construction and
Environmental Engineering,
North Carolina State University,
Raleigh, NC 27695
e-mail: yryu@ncsu.edu

1Corresponding author.

Contributed by the Pressure Vessel and Piping Division of ASME for publication in the JOURNAL OF PRESSURE VESSEL TECHNOLOGY. Manuscript received February 26, 2016; final manuscript received August 17, 2016; published online October 11, 2016. Assoc. Editor: Kunio Hasegawa.

J. Pressure Vessel Technol 139(3), 031202 (Oct 11, 2016) (10 pages) Paper No: PVT-16-1033; doi: 10.1115/1.4034584 History: Received February 26, 2016; Revised August 17, 2016

In this paper, we present an exploratory study on the evaluation of reliability levels associated with the piping design equations specified by ASME Boiler and Pressure Vessel (BPV) Code, Section III. Probabilistic analyses are conducted to evaluate reliability levels in straight pipe segments with respect to performance functions that characterize the different failure criteria using advanced first-order reliability method (AFORM). One important failure criterion considered in this study relates to the plastic instability which forms the basis of piping design equations for emergency and faulted load level conditions as defined in the ASME code. The code-specified definition of plastic instability is based on the evaluation of a collapse moment which is defined using the moment–curvature curve for a particular component. In this study, we use elastic-perfectly plastic, bilinear kinematic hardening, and multilinear kinematic hardening stress–strain curves to develop closed-form expressions for the moment–curvature relationship in a straight unpressurized pipe. Both the pressurized and the unpressurized loading conditions are considered. The closed-form reliability is evaluated using Monte Carlo simulation because of the complex nature of the closed-form expression. The reliability values are calculated with respect to the maximum allowable moment specified by the code design equations that use deterministic safety factors.

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References

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Figures

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Fig. 1

Probabilistic distribution for S, L, and Z

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Fig. 2

Different conditions of stress distributions for the plastic instability in pipe

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Fig. 3

Moment–curvature curve for the determination of collapse moment

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Fig. 4

Stress–Strain behavior for the (a) elastic-perfectly plastic, (b) bilinear kinematic, and (c) multilinear kinematic strain hardening material models

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Fig. 5

Pipe subjected to pure bending

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Fig. 6

Stress–strain curve for the elastic-perfectly plastic material model

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Fig. 7

Stress distribution along the Z-axis across pipe cross section: (a) θy = 90 deg, (b) 0 deg < θy < 90 deg, and (c) θy = 0 deg

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Fig. 8

Moment–curvature curve for the elastic-perfectly plastic material model

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Fig. 9

Stress–strain curve for the bilinear kinematic hardening material model

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Fig. 10

Stress distribution along the Z-axis across pipe cross section: (a) θy = 90 deg, (b) 0 deg < θy < 90 deg, and (c) 0 deg < θy < 90 deg

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Fig. 11

Moment–curvature curve for the bilinear kinematic hardening material model

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Fig. 12

Stress–strain curve for the multilinear kinematic hardening material model

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Fig. 13

Stress distribution along the Z-axis across pipe cross section: (a) θy = 90 deg, (b) 0 deg < θy < 90 deg, and (c) 0 deg < θy < 90 deg

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Fig. 14

Moment–curvature curve for the multilinear kinematic hardening material model

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Fig. 15

Reliability curves for the performance functions of Eqs. (7)(9). (a) Level A, Eq. (7): ΩP = 0.1; (b) level B, Eq. (8): ΩP = 0.1; (c) level C, Eq. (9): ΩP = 0.25; and (d) level D, Eq. (9): ΩP = 0.35.

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Fig. 16

Reliability index for the elastic-perfectly plastic material: (a) Level C: ΩM = 0.3 and (b) level D: ΩM = 0.5

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Fig. 17

Reliability index for the bilinear and the multilinear kinematic strain hardening material for service level C (ΩM = 0.3)

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Fig. 18

Reliability index for the bilinear and the multilinear kinematic strain hardening material for service level D (ΩM = 0.5)

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Fig. 19

Sensitivity due to the strain-hardening parameter for service level D

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