1、CEN EN*?05 79 898 390Y587 OlL2LBb 372 L BRITISH STANDARD Plastics piping systems - Glass-reinforced thermosetting plastics (GRP) pipes and fittings - Methods for regression analyses and their use The European Standard EN 705 : 1994 has the status of a British Standard BS EN 705 : 1995 BS 2782 : Part
2、 12 : Methods 1220A to C : 1995 BS EN 705 : 1995 published under the authority of the Standards Board and Amd. No. Date comes into effect on 15 November 1995 O BSI 1995 The following BSI references relate to the work on this standard: Committee reference PRi/61 Draft for comment 92/41338 DC ISBN O 8
3、80 24136 X Committees responsible for this British Standard Rxt affected The preparation of this British Standard was entrusted to %chnical Committee PRV/61, Plastics piping systems and components, upon which the following bodies were represented: British Gas plc British Plastics Federation British
4、Plumbing Fittings Manufacturers Association British Valve and Actuator Manufacturers Association Department of the Environment (British Board of Agrment) Department of the Environment (Building Research Establishment) Department of the Environment (Property and Buildings Directorate) Department of T
5、ransport Electricity Association Federation of Civil Engineering Contractors Health and Safety Executive Institute of Building Control Institute of Materiais Institution of Civil Engineers Institution of Gas Engineers Institution of Water and Environmental Management National Association of Plumbing
6、, Heating and Mechanical Services Contractors Pipeline Industries Guild Plastics Land Drainage Manufacturers Association Society of British Gas Industries Society of British Water Industries Water Companies Association Water Services Association of England and Wales CEN ENx705 94 3404589 OLlIZlI8 I1
7、45 M Contents BS EN 706 : 1995 miY Committees responsible Inside front cover National foreword ii Foreword 2 Introduction 2 %xt of EN 705 3 i CEN ENa705 94 3404589 OLL2189 081 W BS EN 705 : 1996 National foreword This British Standard has been prepared by Rchnical Committee PRI/61, and is the Englis
8、h language version of EN 705 : 1994 Plastics piping systems - Glass-reinforced themLosetting plasth (GRP) pipes and fittings - Methods for regression analyses and their use, published by the European Committee for Standardization (CEN). It is incorporated into BS 2782 Methods of testing plastics Par
9、t 12. Reinforced plastics pipes, fittings and valves, as Methods 1220A to C : 1995 as follows. Method 1220A corresponds to method A (Covariance method) of EN 705 : 1994. Method 1220B corresponds to method B (Regression with time as the independent variable) of EN 705 : 1994. Method 1220C corresponds
10、 to method C (Second order polynomial relationships) of EN 705 : 1994. These methods are incorporated into BS 2782 for association with related test methods for plastics materiais and plastics piping components. This test method has been prepared for reference by other standards under preparation by
11、 CEN for specification of reinforced plastics piping systems and components. It has been implemented as a national standard to enable experience of the method to be gained and for use for other fresh applications. It is also for use for the revision or amendment of other national standards as practi
12、cable, but it should not be presumed to apply to any existing standard or specification which contains or makes reference to a different method until that standardhpecification has been amended or revised to make reference to this method and adjust any requirements as appropriate. Compliance with a
13、British Standard does not of itself confer immunity from legal obligations. ii CEN ENS705 94 E 3401-1589 OLL2L70 T3 E EUROPEAN STANDARD NORME EUROPENNE EUROPISCHE NORM EN 705 April 1994 UM= 621.643.2-036.067.5 : 621.643.06 : 620.1 519.2 Descriptors: Pipelines, plastic tubes, pipe fittings, thermoset
14、ting resins, reinforced plastics, glass, data, statistical analysis, computation, design inspection English version Plastics piping systems - Glass-reinforced thermosetting plastics (GRP) pipes and fittings - Methods for regression analyses and their use Systmes de canalisa ions plastiques - Tubes e
15、t raccords plastiques thermodurcissable renforcs de verre (PRV) - Mthodes pour une analyse de rgression et leurs utilisations Anwendung Kunststoff-Rohrleitungssysteme - Rohre und Formstcke aus glasfaserverstrkten duroplastischen Kunststoffen (GFK) - Verfahren zur Regressionsanalyse und deren This Eu
16、ropean Standard was approved by CEN on 1994-04-11. CEN members are bound to comply with the CENICENELEC Internal Regulations which stipulate the conditions for giving this European Standard the status of a national standard without any alteration. Up-to-date lists and bibliographical references conc
17、erning such national standards may be obtained on application to the Central Secretariat or to any CEN member, This European Standard exists in three official versions (English, French, German). A version in any other language made by translation under the responsibility of a GEN member into its own
18、 language and notified to the Central Secretariat has the same status as the official versions. CEN members are the national standards bodies of Austria, Belgium, Denmark, Finland, France, Germany, Greece, Iceland, Ireland, Italy, Luxembourg, Netherlands, Norway, Portugal, Spain, Sweden, Switzerland
19、 and United Kingdom. CEN European Committee for Standardization Comit Europen de Normalisation Europisches Komitee fr Normung Central Secretariat: rue de Stassart 36, B-1050 Brussels O 1994 Copyright reserved to CEN members Ref. No. EN 705 : 1994 E CEN EN%705 94 3404587 0112171 73T Page 2 EN 705 : 1
20、994 Foreword This standard was prepared by CEN/TC 155, Plastics piping systems and ducting systems. This standard is based on document N 197 Glass-reinfored thermosetting plastics (GRP) pipes and fittings - standard extrapolation procedures and their use, prepared by working group 1 of Subcommittee
21、6 of Technical Committee 138 of the International Organization for Standardization (ISO). It is a modification of ISO/Tc 138/SC6/WG 1 N 197 for reasons of possible applicability to other test conditions and alignment with texts of other standards on test methods. The modifications are: - examples ha
22、ve been introduced to enable validation of alternative calculation facilities; - material-dependent requirements are not given; - editorial changes have been introduced. The material-dependent test parameters and/or performance requirements are incorporated in the referring standard. Annex A, which
23、is informative, describes procedures for solving the given set of equations (see 3.2.3) on a mathematical basis using the example shown in 3.2.6. No existing European Standard is superseded by this standard. This standard is one of a series of standards on test methods which support System Standards
24、 for plastics piping systems and ducting systems. This standard shall be given the status of a national standard, either by publication of an identical text or by endorsement, at the latest by October 1994, and conflicting national standards shall be withdrawn at the latest by October 1994. In accor
25、dance with the CENKENELEC Internal Regulations, the following countries are bound to implement this European Standard: Austria, Belgium, Denmark, Finland, hnce, Germany, Greece, Iceland, Italy, Luxembourg, Netherlands, Norway, Portugal, Spain, Sweden, Switzerland, United Kingdom. Contents Page Fore
26、word 2 Introduction 3 1 Scope 2 Principle 3 Procedures for determining the functional relationships 4 4 4 3.1 Linear relationships - Methods A and B 4 3.2 Second order polynomial relationships - Method C 10 4 Application of methods to product design 4.1 General 12 4.2 Design 13 4.3 Examples for vali
27、dation of calculation procedures for design 15 4.4 Procedures for verifying conformance to product design and performance values 18 4.5 Examples for validation of calculation procedures for design or product performance verification 20 Annex A (informative) Mathematical procedures 23 A.l Matrix syst
28、em 23 A.2 Substitution system 23 and testing 12 CEN ENu705 94 3404589 OLL2192 676 m Page 3 EN 705 : 1994 Introduction This standard has been prepared to describe the procedures intended for analysing the regression of test data, usually with respect to time, and the use of the resultsin design and a
29、ssessment of conformity with performance requirements. Its applicability has been limited to use with data obtained from tests carried out on samples. The referring standards require estimates to be made of the long-term properties of the pipe for such parameters as circumferential tensile strength,
30、 deflection and creep. The committee investigated a range of statistical techniques that could be used to analyse the test data produced by tests that were destructive. Many of these simple techniques required the logarithms of the data to a) be normally distributed; b) produce a regression line hav
31、ing a negative slope; and c) have a sufficiently high regression correlation (see table 1). Whilst the last two conditions can be satisfied, analysis has shown that there is a skew to the distribution and hence this primary condition is not satisfied. Further investigation into techniques that can h
32、andle skewed distributions resulted in the adoption of the covariance method for analysis of such data for this standard. The results from non-destructive tests, such as creep or changes in deflection with time, often satisfy these three conditions and hence simpler procedures, using time as the ind
33、ependent variable, can also be used in accordance with this standard. CEN EN*05 94 E 3404589 OL12L93 502 Page 4 EN 706 : 1994 1 Scope This standard specifies procedures suitable for the analysis of data which, when converted into logarithms of the values, have either a normal or a skewed distributio
34、n. It is intended for use with the test methods and referring standards for glass-reinforced plastics pipes or fittings for the analysis of properties as a function of, usually, time. However it can be used for the analysis of any other data. For use depending upon the nature of the data, three meth
35、ods are specified. The extrapolation using these techniques typically extends the trend from data gathered over a period of approximately 10 O00 h, to a prediction of the property at 50 years. 2 Principle Data are analysed for regression using methods based on least squares analysis which can accomm
36、odate the incidence of a skew and/or a normal distribution and the applicability of a first order or a second order polynomial relationship. The three methods of analysis used comprise the following: - method A: covariance using a first order relationship; - method B: least squares with time as the
37、independent variable using a first order relationship; - method C: least squares with time as the independent variable using a second order relationship. The methods include statistical tests for the correlation of the data and the suitability for extrapolation. 3 Procedures for determining the func
38、tional relationships 3.1 Linear relationships - Methods A and B 3.1.1 Procedures common to methods A and B Use method A (see 3.1.2) or method B (see 3.1.3) to fit a straight line of the form where y=a+bx (1) 3.1.2 Method A - Covariance method 3.1.2.1 General For method A calculate the following vari
39、ables as necessary in accordance with 3.1.2.2 to 3.1.2.5: where Qy Qx QW is the sum of the squared residuals Y is the sum of the squared residuals parailel to the y axis divided by n; is the sum of the squared residuals parallel to the x axis divided by n; perpendicular to the line, divided by n; is
40、 the arithmetic mean of the y data, i.e. y=-* CYi n X is the arithmetic mean of the x data, i.e. x=-. % n q, gi, are individual values; n is the total number of results (pairs of readings for q, Yi). NOTE. If the value of Qxy is greater than zero the slope of the line is positive and if the value of
41、 Qv is less than zero then the slope is negative. 3.1.2.2 Suitability of data Calculate the squared, ?-, and the linear coefficient of correlation, r, using the following equations: r = K+)0951 (6) if the value of + or r is less than the applicable minimum value given in table 1 as a function of n,
42、consider the data unsuitable for analysis. y is the logarithm (lg) of the property being investigated; a is the intercept on the y axis; b is the slope; x is the logarithm (lg) of the time, in hours. CEN EN*705 74 3404587 OLL2L4 447 Page 5 EN 705 : 1994 able 1. Minimum values for the squared, $, and
43、 linear coefficient of correlation, r, for acceptable data from 1i - (n - 2: 11 12 13 14 15 16 17 18 19 20 21 22 Minimum values 9 0,6416 O, 6084 0,5781 O, 5506 0,5250 0,5018 0,4805 0,4606 0,4425 0,4256 0,4099 Q, 3953 r 0,8010 0,7800 O, 7603 O, 7420 O, 7246 O, 7084 O, 6932 0,6787 0,6652 0,6524 O, 640
44、2 O, 6287 lairs of data 23 24 25 30 35 40 45 50 60 70 80 90 LOO Minimum values ? 0,3816 0,3689 0,3569 0,3070 0,2693 0,2397 0,2160 O, 1965 O, 1663 O, 1443 O, 1273 O, 1139 0,1031 r 0,6177 0,6074 0,5974 0,5541 0,5189 0,4896 0,4648 0,4433 0,4078 0,3799 O, 3568 0,3375 0,3211 NOTE. In table 1 and elsewher
45、e in this standard, the equations and corresponding values for ir! and r are given, for convenience of use in conjunction with reference data published elsewhere in terms of only ir! or T. 3.1.2.3 Functional relationships To find a and b for the functional relationship line y=a+bx first set (7) 3.1.
46、2.4 Calcuhtion of variances If tu is the applicable time to failure, then set Using equations (1 1), (12) and (13) respectively, calculate for i = 1 to n the following sequence of statistics: xu = lg tu (10) - the best fit Xi for true 3; - the best fit yi for true yi; and - the error variance, oa2 f
47、or x. Calculate the following quantities: bag2 E=- 2Q.y 2rbag2 nQw D=- Calculate the variance C of the slope b using the following equation: 3.1.2.5 Check for th,e suitability of data for extrapolaticm If it is intended to extrapolate the line, calculate T using the following equation: C=D(l+E) (16)
48、 b - b (variance of b)O15 - fl T= If the absolute value IT1 (i.e. ignoring signs) of Tis equal to or greater than the applicable value for Students t, h, shown in table 2 for (n - 2) degrees of freedom then consider the data suitable for extrapolation. then calculate a and b using the following equa
49、tions: b = - (r)O,5 (8) a=Y-bX (9) CEN EN*705 94 3404589 OLL2L95 385 M Page 6 EN 706 : 1994 hble 2. Percentage points of Students t distribution (upper 25 % points; two sided 5 % level of confidence; t, for 973 %) Degree of freedom (n - 2) 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 Students t value t, 12 , 7062 4,3027 3,1824 2,7764 2,5706 2,4469 2,3646 2,3060 2,2622 2,2281 2,2010 2,1788 2,1604 2,1448 2,1315 2,1199 2,1098 2 , 1009 2 , 0930 2,0860 2 , 0796 2,0739 2,0687 2,0639 2,0595 2,0555 2,0518 2 , 0484 2 , 04
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