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ASME B31J-2017 Standard Test Method for Determining Stress Intensification Factors (i-Factors) for Metallic Piping Components
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Stress Intensification Factors (i-Factors),
Flexibility Factors
(k-Factors), and Their Determination for Metallic Piping Components
ASME Code for Pressure Piping, B31
AN A MERICAN NA TIONAL S T AND ARD
[Revision of ASME B31J-2008 (R2013)]
[Revision of ASME B31J-2008 (R2013)]
AN AMERICAN NATIONAL STANDARD
Date of Issuance: June 16, 2017
This Standard will be revised when the Society approves the issuance of a new edition.
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CONTENTS
Foreword . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . v
Committee Roster vi
Correspondence With the B31 Committee vii
Introduction ix
1 General . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1
2 Definitions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1
3 Document Contents . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1
Nonmandatory Appendices
A | Stress Intensification Factor (SIF) Test Procedure . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . | 17 |
B | Test Method for Determining Branch Connection Flexibility Factors . . . . . . . . . . . . . . . . . . . . . | 25 |
C | Use of Branch Connection Flexibility Factors in Piping System Analysis . . . . . . . . . . . . . . . . . . . | 34 |
D | Sustained Load Test Procedure . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . | 38 |
Figures | ||
1-1 | Orientations for Sketches 2.1 Through 2.6 of Table 1-1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . | 13 |
1-2 | Orientations for Bends . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . | 14 |
1-3 | Branch Dimensions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . | 14 |
1-4 | Flexibility and Stress Intensification Factors for Bends and Miters . . . . . . . . . . . . . . . . . . . . . . | 15 |
1-5 | Flanged End Corrections for Bends and Miters . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . | 15 |
1-6 | Flexibility Element Locations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . | 16 |
1-7 | Fillet Weld Contours . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . | 16 |
A-1.1-1 | Representative Cantilever Test Arrangements . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . | 17 |
A-1.3-1 | Displacement and Force or Moment Recorded During Loading and Unloading of a Test Specimen in Both Positive and Negative Directions, With Linear Displacement . . . . . . . . . . . . . . . . . . . . . | 19 |
B-1-1 | Branch Connection Specimen . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . | 25 |
B-1-2 | Multiple k-Factor Tests on Single Assembled Position . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . | 26 |
B-2-1 | Example Flexibility Factor Branch Load Assembly Orientation . . . . . . . . . . . . . . . . . . . . . . . . . | 27 |
B-4.4-1 | Detailed Beam Model for Through-Branch k-Factor Test . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . | 29 |
B-4.4-2 | Beam Model . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . | 29 |
B-4.6-1 | Load-Displacement Diagram . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . | 31 |
B-6-1 | Unreinforced Branch Connection With (Left) and Without Ovalization Restraint Plates in Place . | 32 |
C-2-1 | Rotational Stiffness Location Between Two Nodes . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . | 35 |
C-2-2 | Branch Connection In-Plane Direction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . | 35 |
C-2-3 | Branch Connection Flexibilities Used on Branch Side Only . . . . . . . . . . . . . . . . . . . . . . . . . . . . | 36 |
C-2-4 | Branch Connection Flexibilities Used on Run Side Only . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . | 36 |
C-2-5 | Branch and Run Flexibilities Used Together (In Series) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . | 36 |
C-2-6 | Rotational Flexibility Definitions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . | 37 |
C-2-7 | Branch and Run SIF and k-Factor Intersection Orientations . . . . . . . . . . . . . . . . . . . . . . . . . . . | 37 |
D-1-1 | Standard Sustained Load Setup . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . | 38 |
D-1-2 | Bend Sustained Load Setup . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . | 39 |
D-2-1 | Load-Displacement Diagram Illustrating Typical Pressure-Sensitive, Not Pressurized, and Not- Pressure-Sensitive Load-Deflection Behavior . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . | 40 |
D-3-1 | Load-Displacement Diagram at ds = 2de Limit . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . | 42 |
Tables | ||
1-1 | Flexibility and Stress Intensification Factors . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . | 2 |
1-2 | Moment-Rotation Relationships for Sketches 2.1 Through 2.6 of Table 1-1 . . . . . . . . . . . . . . . . | 13 |
1-3 | Flanged End Correction Coefficients for Sketches 2.1 Through 2.6 of Table 1-1 . . . . . . . . . . . . . | 13 |
A-2.4-1 | Stress Intensification Increase Factor . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . | 20 |
B-1-1 | Load-Deflection Pairs for Single Assembled Orientation Shown in Figure B-1-2 . . . . . . . . . . . . . | 26 |
D-8.1-1 | Distance and Precaution for Pressurized Twice Elastic Slope Test . . . . . . . . . . . . . . . . . . . . . . . | 47 |
D-8.1-2 | Inadvertent Air Volumes in Test Specimens . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . | 47 |
FOREWORD
In 1990 The American Society of Mechanical Engineers (ASME) B31 Code for Pressure Piping Technical Committee on Mechanical Design (MDC) realized that there was a need for a standard method to develop stress intensification factors (SIFs or i-factors) for ASME piping components and joints. At the time, the B31 Code books provided SIFs for various standard fittings and joints but did not provide guidance on how to conduct further research on existing SIFs or how to establish SIFs for nonstandard and other standard fittings or joints.
In 2001 the Committee realized that SIFs and k-factors in the various B31 Code books were not consistent or up to date, and so ASME initiated a research project completed by the MDC to incorporate recent research and current manufacturing practices in the SIF and k-factor test procedures, to provide a consistent and up-to-date table of SIFs and k-factors for metallic piping components.
This document provides a standard approach for the development of SIFs, k-factors, and sustained stress multipliers for piping components and joints of all types, including standard, nonstandard, and proprietary fittings.
Sustained stress multipliers are used to multiply the nominal bending stress due to sustained loading and reflect the collapse capacity of the metallic piping component or joint. Multipliers of the nominal bending stress due to sustained loads currently exist explicitly in some, but not all, B31 books. Where more accurate sustained stresses are needed but an equation for the sustained stress is not given in the B31 Code book, nominal stresses due to sustained moments computed using the section modulus of the matching pipe should be multiplied by the appropriate sustained stress multiplier. Where the sustained stress is needed and an equation for the sustained stress is given in the Code book as a function of the SIF and provided in lieu of more applicable data, the sustained stress multipliers developed using the method in this Standard may be substituted as more applicable data and used with the nominal stress computed using the section modulus of the matching pipe.
The most applicable currently available stress intensification and flexibility factors compiled from test and analysis data for standard commercially available metallic components are included in Table 1-1 and should be used with the section modulus of the matching pipe (not an “effective” section modulus). Nonmandatory Appendix A provides the standard method to develop stress intensification factors. Nonmandatory Appendix B provides the standard method to develop branch connection flexibility factors. Nonmandatory Appendix C demonstrates how the new branch connection k-factors should be used in the elastic analysis of piping systems, and Nonmandatory Appendix D provides a standard method to develop sustained stress factors. A procedure to develop k-factors for bends, elbows, and straight pipe is available in WRC Bulletin 463,“Report 1: Standardized Method for Developing Flexibility Factors for Piping Components,”
E. C. Rodabaugh and E. A. Wais (July 2001).
In its development, this Standard has been reviewed by individuals and appropriate subcommittees of the Boiler and Pressure Vessel Code, B31, and B16 Committees. Comments resulting from the review have been considered and responded to, with revisions made to the Standard, as appropriate. The 2017 edition has been revised in its entirety. It was approved as an American National Standard by the American National Standards Institute on January 11, 2017.
Code for Pressure Piping
(The following is the roster of the Committee at the time of approval of this Standard.)
COMMITTEE OFFICERS
G. A. Antaki, Chair
J. E. Meyer, Vice Chair
R. Lucas, Secretary
B31 MECHANICAL DESIGN TECHNICAL COMMITTEE PERSONNEL
G. A. Antaki, Becht Engineering Co., Inc.
C. Becht IV, Becht Engineering Co., Inc.
N. Consumo, Sr., Consultant
J. P. Ellenberger, Retired
M. Engelkemier, Stanley Consultants, Inc.
D. J. Fetzner, BP Exploration Alaska, Inc.
D. Fraser, NASA Ames Research Center
J. A. Graziano, Consultant
J. D. Hart, SSD, Inc.
B. P. Holbrook, Consultant
W. J. Koves, Pi Engineering Software, Inc.
R. A. Leishear, Leishear Engineering, LLC
R. Lucas, The American Society of Mechanical Engineers
G. D. Mayers, Alion Science & Technology
T. Q. McCawley, TQM Engineering PC
J. E. Meyer, Louis Perry Group
J. C. Minichiello, Bechtel National, Inc.
A. W. Paulin, Paulin Research Group
R. A. Robleto, KBR
T. Sato, Japan Power Engineering and Inspection Corp.
E. C. Rodabaugh, Honorary Member, Consultant
STANDARDS COMMITTEE PERSONNEL
J. E. Meyer, Chair, Louis Perry Group
J. Frey, Vice Chair, Stress Engineering Services, Inc.
R. Lucas, Secretary, The American Society of Mechanical Engineers
R. Appleby, ExxonMobil Pipeline Co.
C. Becht IV, Becht Engineering Co., Inc.
K. Bodenhamer, TRC Pipeline Services
R. Bojarczuk, ExxonMobil Research and Engineering Co.
C. J. Campbell, Air Liquide
J. Chin, Transcanada Pipeline US
D. Christian, Victaulic
P. Deubler, Fronek Power Systems, LLC
Eskridge, Jr., Jacobs Engineering
J. Fetzner, BP Exploration Alaska, Inc.
P. Flenner, Flenner Engineering Services
D. Frikken, Becht Engineering Co., Inc.
R. Grichuk, Fluor Enterprises, Inc.
R. Haupt, Pressure Piping Engineering Associates, Inc.
G. Jolly, Samshin Ltd.
W. Mauro, American Electric Power
T. Monday, Team Industries, Inc.
M. Nayyar, NICE
G. R. Petru, Acapella Engineering Services, LLC
D. Rahoi, CCM 2000
R. Reamey, Turner Industries Group, LLC
E. Rinaca, Dominion Resources, Inc.
M. Rosenfeld, Kiefner/Applus—RTD
J. T. Schmitz, Southwest Gas Corp.
S. Sinha, Lucius Pitkin, Inc.
W. Sperko, Sperko Engineering Services, Inc.
J. Swezy, Jr., Boiler Code Tech, LLC
F. Tatar, FM Global
Vilminot, Black & Veatch
Hayden, Jr., Ex-Officio Member, Consultant
A. Livingston, Ex-Officio Member, Kinder Morgan
Willis, Ex-Officio Member, Page Southerland Page, Inc.
CORRESPONDENCE WITH THE B31 COMMITTEE
General. ASME Standards are developed and maintained with the intent to represent the consensus of concerned interests. As such, users of this Standard may interact with the Committee by requesting interpretations, proposing revisions, and attending Committee meetings. Correspondence should be addressed to:
Secretary, B31 Standards Committee
The American Society of Mechanical Engineers Two Park Avenue
New York, NY 10016-5990
https://go.asme.org/Inquiry
Proposing Revisions. Revisions are made periodically to the Standard to incorporate changes that appear necessary or desirable, as demonstrated by the experience gained from the application of the Standard. Approved revisions will be published periodically.
The Committee welcomes proposals for revisions to this Standard. Such proposals should be as specific as possible, citing the paragraph number(s), the proposed wording, and a detailed description of the reasons for the proposal, including any pertinent documentation.
Interpretations. Upon request, the B31 Standards Committee will render an interpretation of any requirement of the Standard. Interpretations can only be rendered in response to a written request sent to the Secretary of the B31 Standards Committee.
Requests for interpretation should preferably be submitted through the online Interpretation Submittal Form. The form is accessible at https://go.asme.org/InterpretationRequest. Upon submittal of the form, the Inquirer will receive an automatic e-mail confirming receipt.
If the Inquirer is unable to use the online form, he/she may mail the request to the Secretary of the B31 Standards Committee at the above address. The request for an interpretation should be clear and unambiguous. It is further rec- ommended that the Inquirer submit his/her request in the following format:
Subject: Cite the applicable paragraph number(s) and the topic of the inquiry in one or two words. Edition: Cite the applicable edition of the Standard for which the interpretation is being requested.
Question: Phrase the question as a request for an interpretation of a specific requirement suitable for general understanding and use, not as a request for an approval of a proprietary design or situation. Please provide a condensed and precise question, composed in such a way that a “yes” or “no” reply is acceptable.
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INTENTIONALLY LEFT BLANK
INTRODUCTION
The ASME B31 Code for Pressure Piping consists of a number of individually published Sections and Standards, each an American National Standard, under the direction of the ASME B31 Code for Pressure Piping Committee.
Rules for each Section reflect the kinds of piping installations considered during its development, as follows:
B31.1, Power Piping: piping typically found in electric generating stations, in industrial and institutional plants, in geothermal and solar power applications, and in central and district heating and cooling systems
B31.3, Process Piping: piping typically found in petroleum refineries and in chemical, pharmaceutical, textile, paper, semiconductor, cryogenic, and related processing plants and terminals
B31.4, Pipeline Transportation Systems for Liquid Hydrocarbons and Other Liquids: piping that transports products that are predominately liquid between plants and terminals, and within terminals and pumping, regulating, and metering stations
B31.5, Refrigeration Piping: piping for refrigerants and secondary coolants
B31.8, Gas Transportation and Distribution Piping Systems: piping that transports products that are predomi- nately gas between sources and terminals, including compressor, regulating, and metering stations and gas gathering pipelines
B31.9, Building Services Piping: piping typically found in industrial, institutional, commercial, and public buildings and multiunit residences that do not require the range of sizes, pressures, and temperatures covered by B31.1
B31.12, Hydrogen Piping and Pipelines: piping in gaseous and liquid hydrogen service and pipelines for gaseous hydrogen service
Rules for each Standard provide guidance for a specific task found in one or more B31 Section publications, as follows:
B31E, Seismic Design and Retrofit of Above-Ground Piping Systems, establishes a method for the seismic design of above-ground metallic piping systems in the scope of the ASME B31 Code for Pressure Piping.
B31G, Remaining Strength of Corroded Pipelines, provides a simplified procedure to determine the effect of wall loss due to corrosion or corrosion-like defects on the pressure integrity in pipeline systems.
B31H, Standard Method to Establish Maximum Allowable Design Pressure for Piping Components, provides a standardized method to perform a proof (burst) test for piping components and joints (under development).
B31J, Stress Intensification Factors (i-Factors), Flexibility Factors (k-Factors), and Their Determination for Metallic Piping Components, provides a standardized method to develop the stress intensification factors (i-factors), flexibility factors (k-factors), and sustained stress factors used in ASME B31 piping analysis.
B31T, Standard Toughness Requirements for Piping, provides requirements for evaluating the suitability of mate- rials used in piping systems for piping that may be subject to brittle failure due to low-temperature service conditions. This B31J Standard provides stress intensification factors (i-factors) and flexibility factors (k-factors), with procedures for their determination for metallic piping components and joints. Stress intensification and flexibility factor equations for common piping components are provided in Table 1-1. The sustained load test procedure can be used to determine more applicable nominal stress multipliers for use in sustained and occasional ASME B31 analyses. Hereafter, in this Introduction and throughout the text of this B31 Standard, where the word Standard is used without further identifica-
tion, it means this B31J Standard.
This Standard sets forth stress intensification factors, flexibility factors, and engineering procedures deemed appro- priate for the safe determination of the fatigue and sustained load capacity of metallic piping components or joints in typical services. The procedure cannot foresee all geometries and services possible, and the use of competent engineering judgment may be necessary to extend the procedure to cover unusual geometries and service conditions or to ensure a safe testing environment.
The ASME B31 Committee is organized and operates under procedures of The American Society of Mechanical Engineers, which have been accredited by the American National Standards Institute. The Committee is continuing and keeps all Code Sections and Standards current with new developments in methods, materials, construction, and industrial practice. New editions are published or reaffirmed at intervals of 3 years to 5 years.
It is intended that this edition of the B31J Standard not be retroactive. Unless agreement is specifically made between contracting parties to use another edition, or a regulatory body having jurisdiction imposes the use of another edition, the latest edition issued at least 6 months prior to the original contract date for the piping installation activity in which a component or joint qualified by this Standard is to be used shall be the governing document for the determination of SIFs
and k-factors. Users of this Standard are cautioned against making use of Standard revisions without assurance that they are acceptable to the proper authorities in the jurisdiction where the piping component is to be installed.
ASME B31J-2017
Stress Intensification Factors (i-Factors), Flexibility Factors (k- Factors), and Their Determination for Metallic Piping Components
General
The ASME B31 Code for Pressure Piping and the ASME Boiler and Pressure Vessel Code, Section III, Nuclear Components, Subsections NC and ND piping rules require the use of stress intensification factors (SIFs or i-factors) and flexibility factors (k-factors) when checking the adequacy of componen