正态分布完全样本可靠度置信下限

正态分布完全样本可靠度置信下限

国家标准 GB/T4885一2009 代替GB/T4885一1985 正态分布完全样本可靠度置信下限 Lowerconfidencelimitofreliabilityfor completesamplefromnormaldistribution 2009-10-15发布 2010-02-01实施 国家质量监督检验检疫总局 发布 国家标准化管蹬委员会国家标准
GB/T4885一2009 前 言 “数据的统计处理和解释”包括以下国家标准 GB/T3359 数据的统计处理和解释统计容忍区间的确定 GB/T3361 数据的统计处理和解释在成对观测值情形下两个均值的比较 GB/T4087数据的统计处理和解释二项分布可靠度单侧置信下限 4088数据的统计处理和解释二项分布参数的估计与检验 4089数据的统计处理和解释泊松分布参数的估计和检验 4882 数据的统计处理和解释正态性检验 4883 数据的统计处理和解释正态样本离群值的判断和处理 4885 正态分布完全样本可靠度置信下限 4889数据的统计处理和解释正态分布均值和方差的估计与检验 4890 数据的统计处理和解释正态分布均值和方差检验的功效 ！型极值分布样本离群值的判断和处理 6380数据的统计处理和解释 8055 数据的统计处理和解释 分布(皮尔逊型分布)的参数估计 指数分布样本离群值的判断和处理 GB/T8056数据的统计处理和解释 GB/T10092 数据的统计处理和解释测试结果的多重比较 (GB/T10094正态分布分位数与变异系数的置信限 本标准代替GB/T4885一1985《正态分布完全样本可靠度单侧置信下限》 本标准与GB/T48851985相比主要变化如下 按GB/T1.1-2000(标准化工作导则第1部分;标准的结构和编写规则》的要求对标准格式 进行了修订 -对直接法(GB/T4885一1985的2.2,本标准的4.2)进行了改写,将主要方程用非中心分布 的分布函数表示,这样有利于编制计算程序; 删除了GB/T4885一1985中计算机程序的附录B; -增加了新的附录B;双侧规范限的K系数表 本标准的附录A和附录B为规范性附录 本标准由全国统计方法应用标准化技术委员会(SAC/TC21)提出并归口 本标准起草单位;北京大学、科学技术大学,标准化研究院、航天科技集团 本标准主要起草人:;房祥忠,吴耀华、孙山泽、于振凡、丁文兴、周正发等 本标准所代替标准的历次版本发布情况为 -GB/T4885一1985 业
GB/T4885一2009 正态分布完全样本可靠度置信下限 范围 本标准规定了产品特性值总体均值和总体方差都未知,基于产品特性值的简单随机样本、给定的置 信水平和特性值上(下)规范限,确定可靠度置信下限的方法 本标准适用于产品特性值服从正态分布的情形 规范性引用文件 下列文件中的条款通过本标准的引用而成为本标准的条款 凡是注日期的引用文件,其随后所有 的修改单(不包括勘误的内容)或修订版均不适用于本标准,然而,鼓励根据本标准达成协议的各方研究 是否可使用这些文件的最新版本 凡是不注日期的引用文件,其最新版本适用于本标准 GB/T2900.13电工术语可信性与服务质量(GB/T2900.13一2008,IEC60050(191);1990、 Amend.1:1999AndAmend.2:2002,IDT) GB/T3358.1统计学词汇及符号第1部分;一般统计术语与用于概率的术语(GB/T3358.1 2009,ISO3534-1:2006,IDT GB/T3358.2统计学词汇及符号第2部分:应用统计(GB/T3358.2一2009,IsO3534-2:2006 IDT GB/T4086.1统计分布数值表正态分布 术语定义和符号 3.1术语和定义 GB/T2900.13,GB/T3358.1和G;B/T3358.2确立的以及下列术语和定义适用于本标准 为便 于参考,某些术语和定义直接引自上述标准 3.1.1 正态分布normaldistribtion 具有如下概率密度函数 (.2)= ”士'-"- r十oo 的连续分布,其中"为总体均值,口为总体标准差 3.1 规范限speeifeationimit 某种特性的极限值 3.1.3 上规范限upperspeeifieationlimit 规定了上限值的规范限 3.1.4 下规范限lowerspecificationlimit 规定了下限值的规范限 3.1.5 可靠度reliability 只规定产品特性值的上规范限时,可靠度R是指产品特性值不超过上规范限的概率 只规定产品
GB/T4885一2009 特性值的下规范限时,可靠度R是指产品特性值不小于下规范限的概率 同时规定产品特性值的上、 下规范限时,可靠度R是指产品特性值介于上、下规范限之间的概率 注可靠度的一般定义为;产品在规定的条件下和规定的时间区间内具有规定功能的概率 3.1.6 可靠度置信下限onesidelowerconfideneelimitofreliabity 对于给定的置信水平y,如果样本的函数R满足P(R>R)>y,则称R为置信水平为y的可靠 度置信下限 3.1.7 非中心1分布non-centraltdistribution 具有以下概率密度函数 exp22 斗r"生一(羊 (.r ，一oro 际7 n十." 元" 2 的连续分布,其中参数n取正整数并称为自由度,参数c可取任意实数并称为非中心参数 其分布函数 F(a)有如下表达式 F.(.r [2mp(.zu-e)fa(m)dun 其中虫()表示标准正态分布的分布函数,fa )表示自由度为n的卡方分布的概率密度函数 3.2符号 下列符号适用于本标准 样本量 样本量为n的简单随机样本 .Z1,.Z?,”.Z 总体均值 总体标准差 置信水平 可靠度置信下限 R 上规范限 L 下规范限 单侧规范限时可靠度置信下限的确定 总则 本标准给出了查表法和直接法两种确定给定单侧规范限时可靠度置信下限的方法 查表法简便易 行,但精度较低 在精度要求较高的场合或者出现争议时应采用直接法 4.2查表法 4.2.1计算样本均值和标准差 由样本r， r,,r,计算样本均值云和样本标准差、 - 店习 -) 4.2.2根据上(下)规范限计算系数K 当规定上规范限U时,令K=(U一工)/s;当规定下规范限L时,令K=(工一L)/s
GB/T4885一2009 4.2.3查表 由给定的置信水平.样本量n及算得的K值,反查本标准附录A的单侧规范限的K系数表,即得 产品可靠度置信下限R 4.2.4示例 某压力容器承受内压,其抗压强度服从正态分布 该种容器10次静力试验的破坏应力分别为(单 位:kg/cm'):2565,2960,2685,2755,2790,2720,2634,2860,2905,2825 容器抗压的下规范限为 上=2200kg/cen: 给定置信水平y-0.0,要求估计该容器可靠度置信下眼 根据破坏应力的10个试验数据计算样本均值云和样本标准差、 =2769.9,s=123.1 相应的系数 -二上-2了2 =4.6300 123.I 根据y=0.90,儿=10,K=4.6300,查附录A中的K系数表得 R=0.9990 即该容器在置信水平y=0,90之下的可靠度置信下限为0.9990 4.3直接法 4.3.1求解非线性方程 对下面非线性方程求解e F..(k=?y" (1 式中F1,.(GB/T4885一2009 5.2示例 设在稳定生产条件下,加工的芯轴直径服从正态分布 芯轴直径的设计要求为20没器 从一批产 品中随机抽取15件进行测量 根据测量结果,算得 工=19.980,、=0.015 给定置信水平1一a为0.80,求满足设计要求的性能可靠性R的置信下限RL 由式(2)求得 K，=2.0000,K=3.3333 根据1一a=0.80,n=15,查附录B,经线性插值得到: 2.5260 一158,l," 4p,,( ,(U 查正态分位数表(见GB/T4086.1)得到 (L)=0.0784(U)=0.0059 由式(3),计算得到 R=1一(0.078生十0.0059)=0.9157
GB/T4885一2009 附 录A 规范性附录 单侧规范限的K系数表 本系数表的参数范围与表距为 y=0.01,0.05,0.10,0.20,0.40(0.10)0.90,0.95,0.99 R,=0.50.0.60(0.05)0.95.0.99.0.9F5.0.9',0.95.0.9'.0.9'5.0.9.0.9".0.9y 刀=2(1)50(10)120
GB/T4885?2009 y=.01 ..5000000 6000000 6500000 .7000000 7500000 8000000 " 22.50050 13.82057 -10.38587 -7.49399 -5.10993 3.20381 a.D 4.02099g 2.7277 -2.16862 -1.66198 -1.20445 .79235 2.27035 1.56282 1.24579 ,67027 .0 94930 40463 s0 167569 1.14491 90191 67023 44679 22724 6n.0 l.37373 .92414 71523 51345 31568 l1743 7.0 1.18782 78401 59430 40935 22598 03965 8.0 -l.05994 .68526 50775 33344 15915 01973 9.0 .96549 61089 44174 27471 10659 06727 10.0 .89222 55225 38917 22740 06371 l0660 .83331 50445 34596 18814 02776 13993 1.0 2.0 78464 46450o 30959 15484 .00300 16869 27839 19389 74358 43044 12609 ,02974 8 25124 70832 40094 10092 ,05329 21622 B0 07862 .07427 67764 .37506 22730 23621 6.0 .65062 .3521l .20599 .05868 .0931l 25425 17.0 .62659 .33157 .04070o 18684 11017 27066 .60503 .31304 ,02437 18.0 16952 12572 28566 19.0 .58556 .29621 15373 .00944 .13998 29946 20.0 .56785 28083 13927 .00427 1531l .31221 .55165 .26671 12596 .01692 16527 32405 21.0 .53676 .25368 .l1364 .02865 ..17656 33507 " .52302 .2416o .l0221 .03957 18710 34538 .51028 23036 .09155 s77 a" 19696 35504 .49843 .21988 .08159 .05932 ..20622 36413 .48737 .21006 .07224 .06830 21493 37269 .47701 .20084 .06345 .07675 22314 38079 28.0 46729 19216 05517 .08473 23091 .38846 29.0 45814 18397 .04734 .09228 23828 .39573 30.0 44950 17623 03993 09944 24527 40265 44134 16889 .03289 10624 25192 31.o 40924 11272 25826 2.0 43360 16192 02621 41552 42626 15529 11889 42152 3.0 .01984 26430 3A.0" .41928 ,14898 .01377 .12478 27008 42727 35.0 .41263 ,14296 .00797 1304l 27561 43277 36.0 .40629 13720 .00242 13581 28091 43805 37.0 .40023 13169 .00289 .14098 28600 44312 38.0 .39443 12641 .00798 14594 29089 44799 39.0 .38888 12135 .01288 .15071 29559 45268 40.0 .38356 11649 .01758 15529 45720 .3001l 46156 .37845 11181 02210 15971 .30447 l.0 16397 .37354 308c7 20 10731 .02645 46577 3.0 .36881 10298 .03065 .16807 .31273 46983 4.0 .36426 .09880 .03470 17204 .31665 47376 47756 .35988 .09477 .03862 17587 5.0 32044 24m 46.o .48124 .35565 .09087 .04240 17957 47.0 18316 .35156 .08711 .04605 32766 48481 33111 48.0 .34761 .08347 .04959 18663 48827 49.0 .34380 .07994 .05302 .33445 49162 18999 50. 0 .34o10 .07652 .05635 19326 .33769 49488 52298 60.0 .30871 .04735 .08480 22121 .36557 .02484 .10685 .24307 .38734 .54502 70,0 .28466 .00677 .12460o .26067 ..40498 80.0 .26548 56292 ,00815 .13929 .27527 .57784 90.0 24971 41965 .23646 .02074 .15172 .59054 100.0 .28765 43211 l10.0 .22512 ,03156 .1624 .29832 44287 .60152 120.0 .21526 ,04098 .17174 .30764 .45228 .61114
GB/T4885?2009 y=.01 R .8500000 9000000 ..9500000 9900000 .9950000 9990000 " 1.74767 .70711 .00015 .56421 70758 96918 .41961 .07193 .29478 .78155 .93221 1.22211 3." .0 .12260 .44286 .9236o 1.08063 14533 l.38846 1.02718 .00420 54313 18935 151035 .23770 60 .08886 .31886 .61829 1.10763 27403 1.60542 7.0 .15736 .38100 .67787 1. 17278 1.34275 1 .68268 B.0 .43093 72685 1. 22713 40017 1.74731 .21l03 .0 .25481 47239 76817 1.27348 44921 .80258 1. 0.0 .291583 .50765 .80374 1.31371 49181 1.85065 .32299 53817 83481 1.3491o 1.52932 1.89301 .35038 .56498 86232 1.38059 1.56273 1.93078 1.59276 1.96475 .37455 58879 88690 40888 90907 61997 .3961m G3 43449 1.99555 1551 .62947 .92922 2. 45784 1.64479 .02367 .43310 .64706 .94763 1,47926 1.66757 2.04948 7.0 .44915 .66318 .96456 1.49900 1.68857 2.07330 8.0 .46389 .67803 ,98021 1,51729 1.70804 2.09539 9.0 .47749 .69176 .99472 1.53430 1.72615 2.11595 20.0 2. .49009 70453 1.00824 1.55017 1.74306 13515 .50181 71643 1.02088 1.56504 1.75890 2.15315 .51276 1.03273 1.5790o1 1.77379 2.17007 .72757 .52301 .73803 1.59217 1.04388 1.7878 2.18602 .53265 .74787 1.60459 .05438 1.80106 2.20109 S73 l.06432 1.61635 1.81360 2.21536 .75716 .55030 50 1.07373 1,62750 1.82550 2.22890 .5584 .77427 l.08266 1.6381o 1.83681 2.24177 1 .56610 78218 1.09115 64819 1.84758 2.25404 1 .57341 78971 1.09924 65781 1.85786 2.26574 30.0 1 .58037 79688 10696 1.66701 1.86767 2.27692 .58701 .80372 1.l1434 1.6758o 1.87706 2.28763 31.o 1.68422 2.29788 .81027 0 59334 1.12140 1.88606 12816 1.69230 1.89469 2. " .59940 .81653 .30772 1. H0 60521 .82254 13466 1.70006 1.90298 2.31717 n.0 .61078 .82831 l.14089 1.70752 1.91095 2.32626 6.0 .61612 .83385 1.14689 1.71469 1.91862 2.33502 7.0 .62126 .83918 1.15267 1.72161 1.92602 2.34345 38.0 .62620 .84431 1.15823 1.72828 1.93315 2.35159 9.0 .63096 .84926 1.16360 1.73472 1.94003 2.35945 40.0 .63555 .85403 1.16878 1.74094 94668 2.36704 63998 85864 1.17379 74695 1.9531 2.37438 75277 .64426 .86310 1.95934 ,17864 2. .38149 64840 .8674l 1.18333 7584 1.96537 2.38838 .65240 76387 1.97121 2.39505 .87158 I.18787 " .87562 .65628 1.19227 76917 1.97688 2.40152 46.o .66003 .87954 1.19654 77431 1.98238 2.40781 47.o .66367 .88334 1.20068 77930 1.98772 2. 41391 8.o .66720 .88702 1.20470 2.41984 78415 1.99291 9.o .67063 1.20861 1.99795 2.42561 89061 78886 50.0 .67395 .89409 1.21241 2.00286 2.43122 79344 60.0 70274 .92426 1.24543 1.83335 2.48o10 2.04560 2.07959 ,94809 2. .51902 70,0 .72540 1,27160 1,86508 .74385 .96755 1.29303 2.10752 2. .55100 80.0 1.89113 .75927 ,98385 1.31101 2.13102 90.0 1,91303 2.57794 .77242 .99777 1.32639 2.15116 2.60103 100.0 1.93181 l10.0 .78380 1.00984 1.33976 1.94814 2.16869 2.621l4 120.0 .79379 1.02045 1.35152 1,96252 2.18413 2.63886
GB/T4885?2009 y=.01 9999990 9995000 9999000 9999500 9999900 9999999 "0 1.06470 1.25885 1.33469 1.49715 1.70455 1.89060 3.0 1.33007 1.55508 .64344 1.83363 2.07786 2.29788 1.50436 1.74733 2.04992 2.31628 2.55683 .0 l.84314 1.63195 .0 1.88771 1.98882 y 20739 48949 2.74464 oy a.0 3 1.73144 1.99710 10229 2 32996 62418 2. .89060 7.0 2. 2 1.81229 2.08599 19449 2 42950 73354 3.00905 A.0 1.87995 2.16037 2.27164 2.51280 2.82503 3.10814 B.0 1.93782 2.22400 2.33763 2.58405 2.90329 3.19289 10.0 1.98815 2.27935 2.39505 2.64605 2 97138 3.26663 2.03252 2.32817 2.44569 2. 70073 3.03143 3.33167 B0 2 2.07208 37170 2.49085 74949 3.08500 3.38968 2 10768 41087 53149 3.13322 44190 3 2. 79339 p 2. 3. 13995 17696 48928 2 2. 2. 4464 56836 3 8332 3. 22 2. 2. 86957 2.16942 .60202 3.21692 47885 3.53256 6.0 2 2. 2.19648 63294 3.25362 3. 50865 2.90298 57232 7.0 2.53617 2.66149 2.93383 3. 28752 2.22146 3.60904 8.0 2.24461 2.56168 2.68797 3.31896 2.96243 3.64309 9.0 2.26617 2.98907 3.34823 3.67481 2.58543 2.71262 2 20.0 2.60763 2.28631 73566 3.01397 3.37560 3.70446 2.30519 62844 75726 3.03731 3.40125 3.73226 21.0 2 2 .32293 2. 64801 77757 3.05926 3.42538 3.75840 3 2. " .33966 2. 66645 2 79671 s 07996 44813 3.78305 2. a4.o 2. 2. 2. .68388 35517 46964 3 3. 81481 3.09952 80636 3. 3. 2.37044 2.70040 2.83195 3.11805 49001 .82843 2.38465 2.71607 2.84822 3.13564 3.50936 3.84939 2.39817 2.73098 2.86369 3.15237 3.52775 3.86933 2.74518 2.87844 3.16831 3.54528 3.88833 2.4l104 9.0 2 3. 3 42332 2.75873 2.89251 18353 .56201 3.90646 30.0 3. 2.43506 2.77168 2.90595 19807 3.57800 3.92379 44629 78408 91882 3.21199 3.59331 2 31.o D 3.94038 2." 45705 79596 .93116 22533 3 2.0 2. 2. 60798 3.95629 2. 94300 3.97155 3.0 2. 2. 2. 46738 .80736 3.23813 3.62207 2.81831 2.95437 a4.o 2. 47731 3.25043 3.63560 3.98622 2. 5.0" 48685 2.82885 3,26227 3.64862 4.00033 2.96532 6.0 2. 2. .49604 2.83900 97585 4.01392 3.27366 3.66115 7.0 2.50490 2.98601 3.67324 3.28465 2.84878 4.02702 3 38.0 2.99580o 2.51344 2.85821 29525 3.68490 4.03966 9.0 2.52169 2.86732 3.00527 3.30548 3.69616 4.05187 40.0 2.52966 2.87613 3.01441 3.31538 3 70704 4.06367 3.32495 3.71757 4.07508 2.53738 2.88464 3.02326 72776 ? 2.54484 2.89289 3,03182 3.33421 4.08613 3.34319 2.55207 2.90088 3.0401 3.73764 4.09684 2.55908 2.90862 3.04816 3.35189 74721 4.10722 3 " 2.56588 2.91613 3.05596 3.36033 3 75650 4.11729 46.o 3 2.57248 2.92342 3.06353 3.36852 76552" 4.12707 47.o 2.57889 2.93051 3.07089 3.37648 3.77428 4.13657 8.o 2.58512 2.93739 3.07804 3. 3.78279 4.14580 38422 9.o 2.59118 2,91408 3.08499 3.39174 3.79107 4.15478 0.o 2.59707 2.9506o 3.09175 3.39906 3.79913 4.16351 60.0 2.64842 3.00736 3.15071 3. 46288 3.86937 4.23968 2.68932 3.92536 4.30040 70,0 3,05258 3,19769 3.51374 3.23633 3.97142 4.35037 80.0 2.72295 3.08977 3,55557 2.75126 3,12109 3,26888 4.01023 4.39247 90.0 3,59081 2.77554 3.14796 3.29680 3.62106 4.04354 4.42860 100.0 l10.0 2.79669 3.17136 3.32112 3.64740 4.07255 4.46008 120.0 2.81532 3,19199 3.34256 3.67062 4.09813 4.48784 8
GB/T4885?2009 y=.05 R ..5000000 6000000 6500000 7000000 7500000 8000000 "0 4.46450 -2.71769 2.02205 -1.43100 93469 .52144 3.0 1.68585 1.08959 82575 .58033 ..34938 .12736 .0 1.17668 .35547 16799 .02072 74556 5468l s.0 .23707 .95339 58284 40819 ,06600 11001 1596 .82264 48284 32046 .00313 17273 .73445 4131l .25806 10333 .05449 22037 .66983 .36073 .21052 .0598o .09482 25834 8.0 0.0 .61985 31943 17264 02473 12768 28962 0.o .57968 28574 14147 .00437 15518 31602 .54648 25754 11521 02906 17868 33872 1l.0 .51843 23347 09267 .05038 19909 35854 .49432 2126o .07303 37606 21704 06904 19427 .05570 3299 .08s57 47330 39169 41m .10035 o027 40576 17799 24731 6.0 .02640 .ll367 41851 43826 1634 26025 7.0 .o1385 43016 42344 15025 12576 27203 18.0 .41003 ,00241 .1368o 44084 13828 28282 19.0 .39782 12734 .00807 14694 29275 45069 20.0 .38665 11729 .01772 15630 .30193 45982 .37636 .10801 .02665 16497 .31045 446830 1.0 .17304 .31838 .4762 .36686 .09940 .03494 " 18057 o27" .3258o .48363 .35805 .09140 .49059 8762 3276 a0" .34984 ,08392 .04989 .34218 ,07692 .05666 ..19424 ..33930 49714 .33499 .07034 .06303 .20047 34547 50332 .32825 .06415 .06904 .35129 50917 .20635 28.0 .21191 .32189 .05831 .07471 .35681 51471 29.0 .21719 .31589 .05278 .08009 36204 51997 30.0 2222o0 .31022 .04754 08518 .36702 52498 .04257 .37175 52975 22696 31.o 30484 09003 .29973 .23150 37627 .53430 .03783 09464 2.0 03333 53865 3.0 .29487 .09904 23583 38058 .23997 3A.0" 29024 ,02902 .10324 .38471 54282 5.0" .28582 .02491 .10726 .24393 .38866 54681 6.0 .28160 .02098 1ll10 .39245 55064 .24773 37.0 .25137 .27755 .01720 .ll479 .39609 55432 .25487 38.0 .27368 .01359 11833 .39958 55785 .26997 .01011 12173 .25823 40294 .56126 39.0 40.0 .26640 .00677 12501 .26147 40618 .56454 86459 56771 .26297 00356 12816 40931 l.0 .26760 25967 00046 41232 2.0 .13120 .27051 3.0 .25650 .00252 .13413 41523 .57371 4.0 .25343 .0054l 41804 57657 .27331 3696 .25047 .00819 .27603 42076 57933 5.0 u3 46.o 7865 .24762 .01088 14234 42339 58200 47.0 28119 .24486 .01348 14490 42595 58460 28365 48.0 .24219 .01600 42842 58711 14738 49.0 .23960 .01844 14978 43081 58955 28604 50. 0 .23710 .02081 15211 43314 59192 28836 60.0 .21574 .041o8 1721 .30827 45319 61234 .19927 ,05679 .18765 .3238o 70,0 46886 62836 .18608 .06944 .33635 80.0 .20019 48156 64136 .17521 .07991 .34678 65219 90.0 .21059 49212 .16604 .08876 .35562 ..50109 6614 100.0 .21940 l10.0 .15818 .09637 .22698 .36325 .50884 .66937 120.0 .15133 .10301 .23360 .36991 .51562 .67635
GB/T4885?2009 y=.05 8500000 9000000 ..9500000 9900000 .9950000 9990000 " .17385 .13802 .47479 95381 1.10789 1.40923 a.D .09477 .63914 1.12967 1.29577 1.62643 .33448 1.24616 .0 .21906 44389 74330 41979 l.76807 29928 .51878 1.33091 50995 .87069 s.0 .81778 60 .35757 .57482 .871477 l.94994 1.39644 57968 7.0 .40276 .61904 .92037 1,44925 63589 2.01382 A.0 .43927 .65521 .95803 4931o 1.68258 2.06690 B.0 .46965 .68557 .98987 53034 72226 2.11201 0.0 .49550 71157 1.01730 56253 75657 2.15103 .51786 .73419 1.04127 1.59076 1.78667 2.18527 H0 .53748 .75412 .06247 1.61579 1.81337 2.21565 77187 2.24289 .55489 1.08141 163821 1.83729 50t 1.65845 1.85889 22750 .78782 .09848 .58456 .80226 1.11397 1.67686 1.87855 2.28989 1.12812 1. 69371 2. .59736 .81543 1.89654 31039 7.0 .82749 1 14l12 .60906 1.70920 1.91309 2.32926 8.0 .61983 .83861 1.1531 1 92839 2.34671 1.72352 9.0 1 .62978 .84890 16423 1.73682 1.94260 2.36291 20.0 1 .63901 .85846 17458 1.74920 1.95584 2.37802 .86738 1.18425 1.76078 1.96822 2.39215 21.0 64760 .87572 1.77164 65563 1.19330 1.97983 2.40540 " .88355 1.20181 78186 27388 .66316 1.99075 42964 .89092 L.20982 79149 .67024 2.00105 2. 67691 .89788 l.21739 1.80059 2.01079 2.44076 2 68321 .90445 1.22455 1.80921 ,02002 2.45130 .68918 .91068 l.23135 1.81740 2.02878 2.46131 2. .69484 .91660 1.23780 1.82518 2.03711 47083 9.0 2. .70022 .92222 1.24395 1.83259 2.04504 47990 30.0 2. .70534 .92758 1.24981 1.83966 2.05261 48856 .71022 .93270 1.25540 1.84642 2.05985 2.49683 a1.o 2.077 .71488 .93759 1.26075 0 1.85289 2.50475 94227 1.85909 2. 07341 2.51234 " .71935 1.26588 2.079738 a.0 2. 72362 .94675 1.27079 1. 86503 51963 2.08590 5.0 72771 .95106 1.27551 1.87074 2.52663 6.0 2.09178 .73165 .95519 1.28004 1.87624 2.53336 37.0 2.09744 .73543 .95917 1.2844l 1.88152 2.53984 38.0 2. .73907 .96299 1.28861 1.88662 10290 2.54608 9.0 2. .74257 .96668 1.29266 1.89153 10816 2.5521 40.0 2 .74595 .97024 1.29657 1.89627 11325 2.55793 2.11816 74921 97367 1.30035 1.90085 2.56355 .97699 1.30399 1.90529 2 12291 56899 .75236 2 ? .75540 .98020 1. 30752 1.90957 12750 2. .57425 2. .98330 1.31094 1. 91373 13196 2.57935 .75834 76119 2 .98631 1.31425 1.91775 13627 2. .58429 .76395 2 .98922 1.31746 1.92165 14045 2.58909 47.o 2 .76663 .99205 1.32058 1.92544 14452 2.59374 8.0 .76922 .99479 1.32360 1.92912 2.14846 2.59826 9.0 .77174 .99745 1.32653 1.93269 15229 2.60265 2. 0.o 2. .77419 1.00003 1.32939 1.93617 15602 2.60691 18836 79533 1.02242 1. 35412 1.96632 2. 64399 60.0 0.o 2 .81195 1.04005 1.37364 21397 1,99018 2.67336 .82547 1.05442 1.38959 2.00970 2. 2.6974 80.0 .23492 .83675 1.06644 1.40294 2.25250 90.0 2.02607 2.71760 .84636 1.07668 1.41433 2.26753 2.73486 100.0 2.04006 l10.0 .85468 1.08555 1.42421 2.05220 2.28057 2.74985 120.0 .86197 1.09334 1.43289 2.06287 2.29205 2.76303 10
GB/T4885?2009 y=.05 R 9999990 9995000 9999000 .9999500 9999900 9999999 "0 2 1.52275 1.76082 1.85482 2.05791 31989 2.55679 3.0 1.75221 2.01747 2.12255 2.35006 2.64427 2.9108o0 1.90117 18263 2. 29434 .53652 2.85016 .0 D 3.13463 30176 41812 3 y 00893 p 67060 2.99791 3.29502 2. 60 2. 2 77384 1157 2. 2.09212 39361 51352 3. 3.41831 2 7.0 2.15915 46758 2.59033 2.85693 3.20300 3.51745 A.0 2.21483 2.52902 2.6541l 2.92592 3. 27889 3.59973 9.0 2.58123 2. 70832 2.98454 3.34337 3.66962 2.26216 10.0 2.30310 2.62639 2. 75521 3.03525 3.39914 3.73008 2.33903 2.66603 .79636 3.07975 3.44808 3.78312 2. B0 2 2.37092 2.70121 83289 3.11925 3 49152 3.83021 .39950 73275 86563 3.15466 3.87242 3.53047 p 2. 2. 76125 56567 3.91057 1253 89523 18666 ? 2. p 2. 22 44883 2.78719 92216 3.21579 3.59770 3.94530 6.0 2 47035 3.24246 3.62704 2.81094 2.94682 3,97710 7.0 2.49016 3.65405 4.00638 2.83281 2.96952 3.26702 8.0 2.50848 2,85303 2.99052 3.67904 4.03347 3.28973 9.0 2.52549 2.87182 3.01003 3.31083 3.70225 4.05863 20.0 3 2.54135 2.88933 3.02822 3.33051 72390 4.08209 2.55619 2.90571 3.04523 3.34891 3.7441 4.10405 92109 06120 3.36618 3.76315 4.12465 2.57011 2 3." a382 2. 93555 07622 22 .58321 3.78103 s" 4.14404 39777 2. 2. 7979 3 3. .59556 94920 09039 3. 4.16233 2. n 3. 2.9621l 10380 3.41228 3.81386 4.17963 2. .61831 3. 2.97434 l1650 3.42602 3.82899 4.19603 2. 62883 2.98595 3.12856 3,43907 3.84335 4.21l61 2.63882 3. 2.99700 3.14004 45149 3.85702 4.22642 9.0 3. 2.64835 3.00753 3.15097 46332 3.87004 4.24054 30.0 3 3. 2.65745 3,01758 1614] 47462 3.88247 4.25402 66614 02718 17139 .48542 3.89436 4.26691 31.o ? 2. 3. 3. .90574 03638 49576 4.27925 67446 2.0 18094 s 3. 3.0 2.68244 3,04519 3,19010 3.50567 3.91664 4.29108 a4.o 2.69009 3.05365 3.19889 3.51518 3.9271l 4.30243 5.0" 3.06178 3.20733 4.31334 2.69744 3.52432 3.93717 6.0 2. 3.5331n 3.94685 .70452 3.06960 4.32384 3.21545 7.0 3.22328 3.54158 3.95617 2. .71l33 3.07713 4.33394 38.0 2.71789 3.08439 3.23082 3.54974 3.96515 4.34369 9.0 2.72422 3.09139 3.23809 3.55761 3.97382 4.35309 40.0 2.73034 3.09815 3.24511 3.56522 3.98219 4.36216 2.736s5 25190 3.57256 3.99028 4.37094 3.10468 3. 2. .74196 3,ll100 3,25847 3,57967 3.9981m 4.37943 2.74749 3.l1712 3.26482 3.58655 4.00568 4 .38764 2. 75285 3.12305 3.27098 3.59322 4.01302 4.39560 " 2. 75804 3. 12879 3.59968 4.02013 4.40332 3.27695 46.o 2. 76308 3.13436 3. .28273 3.60595 4 .02703 4.41080 2 3 47.o 76797 3. 13977 28835 3.61203 4.03373 4.41807 8.o 2.77272 3. 14502 3.29381 3.61794 4.04024 4.42512 9.o 3. 3 3.62368 4.04656 4.43198 2.77734 15013 29911 0. 0 2.78182 3.15509 3.30427 3.62926 4.05271 443865 60.0 2.82080 3.19821 3.34907 3.67778 4. 10613 4.49660 3.38459 4. 4.54257 70,0 2.85168 3.23239 3.71625 14850 2.87698 3.26039 3.41369 4.58024 80.0 3,74777 4.18322 3,28389 3.4381 4.61186 90.0 2.89820 3.77422 4.21236 2.91636 3.30399 3.45901 3.79686 4.23731 4.63893 100.0 l10.0 2.93212 3.32146 3.47716 3.81653 4.25898 4.66244 120.0 2.94599 3.33682 3.49313 3.83383 4.27804 4.68313
GB/T4885?2009 y=.10 ..5000000 6000000 6500000 .7000000 7500000 8000000 " 2.17625 1.28581 .92443 .60954 .33295 .08379 a.D 1.08866 .65024 .45108 26085 .07533 .11142 .81887 46298 .03632 .20878 .0 .29500 12982 .68567 36269 20730 05232 10584 ,.0 .27243 6n.0 .60253 .29701 14829 .00127 ..15523 .31880 7.0 .54418 .2494l 10479 .04147 19291 35474 8.0 .50025 .21275 .07088 .07319 22299 38373 9.0 .46561 183338 0434 .09911 24778 40781 10.0 43735 15900 02055 12084 26870 42826 41373 13844 00111 13942 28667 44591 1.0 2.0 .39359 12074 .01570 15555 ..30235 46138 .37615 .03042 16974 11 10530 .47507 .36o85 04347 .48732 09166 18236 .32854 .4837 07950 .34729 .05514 .33964 19367 6.0 .33515 .06857 .06565 .20389 .34969 50839 7.0 .32421 .05866 .07520 .21319 35886 51755 18.0 .31428 .04964 .08393 ,22171 .36726 52596 .30521 .04136 .09193 .22954 .37501 .53373 19.0o 20.0 .29689 .03374 .09932 .23677 .38217 .54092 .28921 ,02669 .10616 .24348 .38883 .54761 21.0 .28210 .02015 .11253 ..39504 .55386 .24973 " .27550 .11847 40085 .55971 -S 25537" 25 a" .00834 .26933 .12403 .40630 .56521 .26619 26357 ,00299 .12925 4ll42 .57038 .27103 25816 .00203 13416 41626 57526 .27561 .25307 .00677 13879 42082 57988 B8.0 .27994 .24827 .01125 14317 42515 58426 29.0 .28405 .24373 .01549 14733 42926 58842 30.0 28795 .23943 .01951 15127 43316 .59238 .23536 15502 .29166 43688 59615 02334 1.0 .29520 15859 59975 23148 02697 44043 2.0 22779 3.0 .03044 16200 29858 44381 60319 3A.0" .22428 .03375 .16525 .30181 44706 60648 35.0 .22092 .0369 16837 .30491 45016 60964 36.0 .21770 .03995 17135 .30787 45314 .61267 37.0 .21463 .04286 17421 .31072 45600 61557 38.0 .21168 .04565 17696 .31345 45875 61837 39.0 .20884 .04833 17960 .31608 46139 .62106 40.0 .20612 .05091 .18214 ,31861 46394 62366 .20351 05339 18459 46639 62616 .32105 l.0 20099 .05578 .3234o 46876 62858 2.0 .189 .32567 3.0 .19856 .05809 .18923 47105 63091 4.0 .19622 .06032 47326 63317 .32787 9143 19356 32999 .19396 .06247 47540 63535 5.0 46.o .19177 .06455 19562 .33204 47747 63747 47.0 18966 .06656 19761 .33403 47948 63952 48.0 .06851 48142 64151 18761 19954 33596 49.0 .07040 48331 64343 18563 2014] 33783 50. 0 .18372 .07224 .20322 .33964 48514 64531 60.0 .16732 .08795 .21880 .35523 ..50091 66145 .15466 ,10015 .23093 .36740 .51325 70,0 67410 .l4449 .10998 .37724 .52324 80.0 .2407 68437 .13610 .11812 .38541 .53155 90.0 .24883 69293 100.0 .12902 .12500 .39234 ..53861 .25571 70020 l10.0 12294 ,13093 .26164 .39832 54470 70649 120.0 .11764 ,13610 .26681 .40355 .55003 .71199 12
GB/T4885?2009 y=.10 R 8500000 9000000 .9500000 9900000 .9950000 .9990000 " .15337 .40257 .71734 1.22515 1.39733 1.74058 .30876 .53478 .84005 1.36082 1.54215 1.90734 " .39642 .61707 .92238 1.4552o 1.64277 2.02230 s0 .67525 1.52454 45623 98218 71668 2.10651 60 50o79 .7194] .02822 1.57830 1.77399 2.17175 7.0 53580 75450 1.06516 1. 62165 1.82020 2.22435 A.0 .56432 78333 1.09570 1. 65763 1.85858 2.26803 9.0 .58818 .80759 1.12153 1. 68817 1.89115 2.30512 0.0 .60854 .82840 1.l4378 71454 1.91929 2.33717 .62621 .84653 16322 1.73763 1.94395 2.36526 .64173 .86251 1.18041 7581o 1.96580 2.39017 .65553 .87674 1.19576 77641 2.41246 1.98536 79292 88954 1.20958 2.00301 66790 2.43259 .80793 e D 1.22213 .67907 .901m .01905 2.45088 2. .91168 1.23358 2. 46761 .68924 1,82165 .03372 7.0 .69855 .92136 1.24409 1.83426 2.48300 2.04720 8.0 .93028 1.25379 1.84591 2.05965 2.49722 70711 9.0 .71502 .93853 1.26277 1.85671 2.51041 2.07121 20.0 2.08197 .72236 .94620 1.271l3 1.86677 2.52270 .72920 .95335 1.27893 1.87616 2.09203 2.53419 .73559 1.28624 1.88497 10145 2.54496 96004 129310 1.89325 .11031 2.355505 .74l58 96631 .74721 1866 97222 .56463 2. 1.29956 1.90105 75252 .97779 l.30566 1.90842 12655 2.57365 2. 75754 .98305 l.31143 1,91540 13403 2.58220 2. 1. 76228 .98804 l.31690 92202 14lll 2.59030 1 3 .76678 .99278 1.32209 92831 14785 2.59801 3 .77106 .99728 1.32704 1.93430 15427 2.60535 30.0 2.16039 .77514 1.00157 1.33175 1.94001 2.61235 .77902 1.33625 1.94547 .16623 2.61904 31.o 1.00566 1.34055 17183 .78278 0 1.00957 1.95069 2.62544 1.95569 o " .78628 1.01332 1,34467 17718 2.63157 3 2. H0 .78968 1.01690 .34862 1.96048 18232 63745 n.0 2. 79294 1.02034 1.3524n 1. 96508 18725 2.64310 6.0 2. .79607 1.02364 1.35605 1. 96951 19200 2.64853 7.0 3 .79907 1.02682 1.35955 1.97377 19656 2.65376 38.0 2. .80196 1.02988 1.36292 1.97787 20096 2.65880 2.20520 9.0 .80475 1.03282 1.36617 1.98182 2.66365 40.0 .80743 1.03566 1.36931 1.98564 2 20929 2.66834 2.67287 1.03841 1.37233 1.98933 .81002 2.21324 .81253 1.37526 1.99289 1.04105 2.67725 B 8. 1.04362 1. .37809 1.99634 2. .68148 8T728 1.04609 .38083 1.99967 2.68559 1.04849 1.38348 2.00291 2.68956 .8195 .82174 1.05082 1.38605 2.00604 2.69342 .82387 47.o 1.05307 38854 2.00909 23444 2.69716 8.o .82593 1.05526 1.39096 2.01204 2.23760 2.70079 .82793 1.05738 1.39331 2.01491 2.24068 2.70432 9.0 50.0 .82987 1.05944 1.39559 2.01769 24367 2.70774 D 60.0 84665 1.07727 1. 41536 2.04186 26967 2.73749 1.0913 1. 43095 70,0 .85983 2.06096 2901l 2.76102 1.10273 1.44366 2 30686 2. 80.0 .87055 2.07655 78025 .87949 1.11227 1.45429 2. .79636 90.0 2.08961 2.32088 .88709 1.12040 1.46335 2.33286 2.81013 100.0 2.10076 l10.0 .89367 1.12744 1.47121 2.34326 2.82207 2.l1043 2,11892 120.0 .89943 1.13361 1.47810 2.35239 2.83256 13
GB/T4885一2009 y=.10 9999990 9995000 9999000 9999500 9999900 9999999 "” 1.87138 2.14759 2.25714 2.49459 2.80203 3.08087 3.0 2.04729 2.34378 2.46162 2.71734 3.04895 3.35002 2.16817 47771 2. 60088 86839 3.21562 .0 ？ 2. 3.53113 2 57547 25662 2. 70245 2. 97839 3.66263 5.0 3.33680 2. a.0 2 2. 2. 32510 651l10 78100 3.06340 3.43036 3.76411 7.0 2 2. 2.38031 71204 84428 3.13185 3.50569 3.84579 A.0 2.42615 2.76263 2.89681 3.18867 3.56819 3.91355 B.0 2.46508 2.80559 3.23691 3.62125 3.97106 2.94141 0.0 2.97996 2.49872 2.84271 3.27859 3.66710 4.02076 11.0 2.52820 2.87525 3.01374 3.31513 3. 70729 4.06432 2 2.55434 2.90410 3.04370o 3.34753 74292 4.10295 3. 2.57774 07052 37654 .77483 4.13753 心 2.92993 s " 95325 09474 40273 3.80364 4.16876 n心 3. 心 2.59887 1675 2 4.19716 心 3. 3.82984 2.61808 97446 42655 3 13690 3.44834 3.85381 4.22315 2.63565 2.99386 院 3.01170 3.15543 3.46838 4.24705 2.65180 3.87586 i8.0 2.66673 3,02819 3.17255 3.48690 4.26914 3.89624 9.0 2.68059 3.04349 3.18844 3.50409 3.91515 4.28964 20.0 2.69350 3.05774 3.20325 3.5201l1 3.93277 4.30875 2.70556 3.07107 3.21709 3.53509 3.94925 4.32661 2. .71687 08357 .23006 54913 3.96470 3 3. 4.34337 3 09532 24227 56234 22 72751 3. s 3.97923 .35912 3. 2 397 25378 心 57479 .37398 3. 3.10640 3.99294 74701 3. 2. 4 3.ll1687 .26465 3.58656 4.00589 .38802 2. 75599 3.12679 3.27495 3.59770 4.01815 4.40132 2. 76450 3.13620 3.28473 3.60828 4.02980 4.41395 2. 77260 3.14515 3.29403 3.61834 4.04087 4.42595 29.0 2. 78031 3.15367 3.30288 3.62793 4.05142 4.43739 30.0 2.78767 3. 16180 3.31133 3,63707 4.06148 4.44830 .79470 16957 31940 3.6458o 4.07109 4.45873 31.o D 3. 3. 17701 必 65416 4.46871 2.0 2.80142 心 32712 4.08030 3 3.33452 3.0 2. .80786 3.18413 3,66217 4.08911 4.47827 a4.o 2.81404 3.19096 3.34162 3.66986 4.09757 4.48744 5.0" 2.81998 3.19753 3.34844 3.67724 4.10570 4.49625 6.0 4 11351 4.50473 2.82569 3.20384 3.35499 3.68434 7.0 2.83118 3.36131 3.69117 3.20991 4 12103 4.51288 38.0 3. 2.83647 .21577 4.12828 4.52074 3.36739 3,69775 3.2214 3.37325 9.0 2.84158 3. 7041o 4.13527 4.52832 40.0 3.37891 3,71023 2.84651 3,22686 4！ 14202 4.53564 85127 38438 s 4，14853 4，54271 1615 2. 3.23212 3 3. 3 2. .85587 3.23721 38967 4.15484 4.54955 72188 72742 心 2.86032 3.24214 3.39479 4. 16094 4.55617 2.86463 3.24691 3. 73278 4 16685 4.56258 3.39974 " 2.86881 3.25153 3. 40455 3. 73798 17257 4.56879 3 46.o 2.87286 3.25601 40920 3. 74303 17813 4.57481 47.o 2.87680 3.26036 3.41372 3. 74792 4.18351 4.58065 8.o 3. 2.88061 3.26459 3.41811 4 18875 4.58633 75267 9.o 2.88432 3.26869 3.42237 3.75729 4.19383 4.59184 0.o 2.88793 3.27268 3.42652 3 4.19871 4.59720 76178 60.0 2.91920 3.30729 3.46248 3.80072 4.24166 4.64373 4 27561 4.68056 70,0 2.94394 3,33467 3,49094 3.83154 3.35706 3.51421 4.71069 80.0 2.96416 3.85675 4.30338 2.981l 3,37583 3.53371 3.87788 4.73596 90.0 4.32666 2.99559 3.39187 3.55038 4.34656 4.75755 100.0 3.89594 l10.0 3.00816 3.40578 3.56485 3.91l62 4.36383 4.77629 120.0 3.01920 3,41801 3,57756 3.92540 4.37901 4.79277 14
GB/T4885?2009 y=.20 R ..5000000 6000000 6500000 .7000000 7500000 8000000 " .97325 49282 .28503 ,09088 .09696 .28764 .0 .61237 .27587 11588 .04310 ..20548 .37738 .11075 .43213 .0 48924 18658 .03873 26580 42081 13296 00950 15470 .30646 47034 B." 60 .09578 .37540 ,04366 .18649 .33645 .49908 7.0 34232 .06793 .06962 .21097 .35984 52175 8.0 .31679 .04599 .09025 .23061 3787" 54025 9.0 .29630 .02812 10720 .24685 39452 55574 10.0 .27936 01317 12144 .26058 40791 56897 .26505 .00042 13365 27239 41948 58045 1.0 2.0 .25274 .01062 14426 2827o 42960 59053 15361 .2918o 24202 02032 43858 .59948 8 .16192 .29992 23256 02891 44660 .60751 i.0 .61475 .30723 .03661 .22413 16938 45382 6.0 .21656 ,04356 .17613 .31384 46039 62134 7.0 .20971 .04986 .18226 .31987 46638 62737 18.0 .20348 .05563 .18788 .32540o 47188 63291 19.0 19777 .06092 19304 .33049 47695 .63802 20.0 19251 .06580 19782 .33520 48165 .64277 .18766 ,20224 .33958 .64719 21.0 07033 48602 18316 .20637 S35 .65131 07454 49009 " .17896 .21022 .34747 07846 4939 65518 17504 .21383 a" .08214 49749 65881 .17137 .08559 .35441 50086 66223 .21722 .2204 .16792 .08884 .35758 50405 66546 .16467 .09191 .22343 .36058 50705 66852 B8.0 .16161 .09480 .22628 .36341 50990 .67141 29.0 15870 .09755 .22899 3661o .51261 .67417 30.0 15595 10015 23156 36866 .51518 67679 15334 10263 .23400 .3711o 51764 67928 31.o .37342 68167 .51997 15086 10499 23633 2.0 14849 10724 3.0 .23856 .37564 52221 68395 3A.0" .14623 .10940 .24068 .37776 .52435 68613 35.0 .14407 .ll1145 .24272 .37979 .52640 68822 6.0 .14200 .11342 .24467 .38174 .52836 .69022 37.0 .14002 l1532 .24654 .38361 .53025 .69215 38.0 13812 11713 .24834 .38541 ..53206 69401 13630 11888 .25007 .38714 ..53381 69579 39.0 40.0 13454 12055 .25173 .3888o ..53549 .69751 69917 13286 12217 25333 3904 53711 l.0 13123 .7007 2.0 12373 .25488 .39195 ..53868 .25637 3.o .12966 .12523 .39345 .54019 70232 4.0 .12815 12669 .39489 54165 .25781 70382 .25921 .70526 .12669 12809 .39629 54307 5.0 46.o .12528 12945 .26056 39764 54443 70666 47.0 12391 13076 .26186 39895 54576 70802 48.0 70934 12259 13203 26313 40022 54705 49.0 71062 12131 13327 26435 40145 54829 50. 0 .12007 .13446 .26554 40264 .54950 71186 60.0 .10944 .14473 .27577 4129 55993 72257 .10122 15272 .28373 .56809 70,0 42093 73096 .09461 15915 .29017 .57469 80.0 42742 73776 .08914 .16449 ,29551 .58019 90.0 43282 74343 .08453 .16901 .30003 ..58486 100.0 43739 74825 l10.0 .08056 .17290 .30393 .44133 .58889 .75242 120.0 .07711 17629 .30733 .44478 .59241 .75606 15
GB/T4885?2009 y=.20 8500000 9000000 .9500000 9900000 .9950000 9990000 "0 .49377 73728 1.07699 1.67207 1.88149 2.30532 .56869 1.12597 1.71027 1.91850 2.34222 3." 79914 .0 1.17239 1.76o12 1.97067 .61926 84680 2.40014 2.01387 .0 65583 88260 1.20882 1.80105 2.44858 60 .91053 2. .68384 1.23781 1.83422 .04900 2.48814 7.0 2. 70620 ,93308 1.26148 1. 86160 .07804 2. .52092 A.0 .72459 .95176 1.28125 1. 88464 2 l0251 2.54859 B.0 .74007 .96759 1.29809 1.90437 3 12349 2.57234 0.0 ny 75336 .98123 1.31267 92152 14174 2.59302 .76493 .99315 1.32545 1.9366o 2.61124 2.15781 2. .77512 1.00368 1.33679 1.95002 17210 2.62747 1.34693 1.96205 .18493 64204 2 .78420 1.01309 22 1.02155 .35608 2 .79235 1.97293 19653 65522 .79978 1.98283 2.20710 1.36439 l.02922 2.66724 3 .80644 1.37198 1. 99189 2. l.03622 67824 7.0 .81260 1.04264 1.37896 2.00023 " 22567 2. .68837 8.0 2. .81826 1.04856 1.38540 2.69775 2.00794 .23390 9.0 .82350 1.05404 1.39137 2.0151o 2.70646 2.24155 20.0 2.24867 .82837 1.05914 1.39692 2.02176 2.71457 a.o .83290 1.06389 1.4021m 2.02800 25533 2.72217 8714 1.40697 03384 72929 2. 23 2. 1.06834 1.07251 273539 3 2.2676 8mm l.4l154 03934 .84485 .04452 .27299 3 7231 1.07644 1.41584 2. .84837 1.08014 l.41990 2.0494l 27823 2.74828 2. .85170 1.08365 1.42374 2.05405 .28319 2.75394 2. .85485 1.08697 l.42738 2.05844 .28789 2.75931 D 2. .85784 1.09012 1.43084 2.06262 .29237 76442 9.0 .86068 1.09312 1.43413 2.06661 2.29663 2.76929 30.0 .86339 1.09597 43727 2.07040 2 .30069 2.77393 .86597 1.0987o 1.44027 .07403 2.30458 2.77837 2. 31.o 0775o 282 0 86844 1.10130 1.44314 3" 2.78262 144588 08082 185 2. 2.31 " .87079 l.10379 2.78668 2. 2. H0 .87305 1.10618 1. 44851 31526 .79059 2.08401 35.0 2.08707 2. .87522 1.10847 1. 45103 .31854 2.79433 6.0 2.09002 2. .87729 1.11067 1.45346 .32169 2.79794 7.0 2. 3 .87929 1.l1278 1.45579 09285 .32473 2.80141 38.0 2. 2 .88121 1.1l482 1.45804 09558 32765 2.80475 9.0 .88307 1.11678 1.46020 2. 09821 2 33047 2.80798 40.0 2,10075 2.33319 .88485 1.11867 1.46229 2.81109 .88657 2. 1.46431 10320 1.12050 2.33582 2.81409 2 12226 10557 33836 3 .88823 1. 1,46625 2. 81700 2. .88984 1.12396 1.46814 2.10786 34081 2.81981 .89140 1.1256 1.46996 2.34319 2.82254 2.l1008 " .89290 12721 1.47173 11223 2 .34550 2.82518 46.o .89436 12876 1.47344 l1432 2 34773 2.82774 47.o .89577 13026 47510 11634 2.34990 2.83022 8.o 2. .89714 11830 2.35201 2.83263 13171 1.47671 9.0 .89847 1.13313 2. 12021 2.3540s 1.47828 2.83497 50.0 .89976 1.13450 1.47980 2 12207 2.35604 2.83725 .91091 1.14637 1.49296 13814 2 37328 2. 85700 60.0 2. 0.0 2. .91967 1.15570 1.50333 15083 2 38690 2.87262 .92679 1.16330 1.51178 2.16119 80.0 2.39803 2.88539 .93272 1.16964 1.51885 2.16987 2,40734 90.0 2.89608 .93777 1.17504 1.52487 2.17727 2.41530 2.90521 100.0 2 l10.0 .94213 1.17971 1.53009 42220 2.91314 2.18369 2,18933 120.0 .94596 1.18381 1.53467 2.42825 2.92010 16
GB/T4885?2009 y=.20 R 9999990 9995000 9999000 9999500 9999900 9999999 " 2.46833 2.81450 2.95235 3.25192 3.64109 3.99497 a.D 2.50572 2.8535o 2.99215 3.29368 3.68572 4.04243 .0 2.56610 2.91945 3.0604l 3.3671l 3.76609 4.12926 5 2. 97496 42909 3.83403 4.20273 2.61674 3.l1793 3 47987 8897 6n.0 2.65812 3.02039 3.16502 3 3. 4. .26298 7.0 2.69244 3,05809 3,2041l 3.52204 3.93598 4.31304 8.0 2.72141 3.08995 3.23715 3.55769 3.97510 4.35538 9.o 2.74630 3. 11732 3.26554 3.58833 4.00873 4.39178 10.0 2.76796 3.l4117 3.29027 3.61503 4.03805 4.42352 3. 2.78706 16219 3.31208 3.63858 4.06391 4.45152 B0 2.80407 3.18092 3.33152 3,65957 4.08696 4.47647 .81935 19775 .34898 3.67843 410768 449891 2. 3. 3. 21299 36479 4.51923 3. 6955 12644 2.83318 3. A5S3775 3. 4.14354 2.84578 3.22687 3.37920 71108 6.0 2.85732 3.72535 4.55473 3.23959 3,39240 15922 7.0 2.86795 3.40457 3.73849 4.17367 4.57038 3.25131 8.0 2.87779 3,26216 3.41582 3.75066 4.18704 4.58487 9.0 2.88693 3.27224 3.42628 3.76196 4.19947 4.59833 20.0 2.89544 3.28163 3.43604 3.77251 4.21106 4.61089 2.90341 3.29042 3.44516 3.78237 4.22190 4.62264 2.91089 .29867 45373 79163 4.23208 3 s 4.6336 3. .91792 4.24166 " 46179 s 80034 4.64405 2 3.30643 3.80856 25070 465384 3. 2.92456 3.31376 46939 2.93083 3.32068 3.47657 3.81634 4.25925 4 66310 4. 2.93677 3.32724 3.48338 3,82370 4.26735 67188 4 2.94241 3.33347 3.48985 3.83069 27504 4.68022 2.94777 3.33939 3,49600 3.83735 4.28235 4.68814 9.0 2.95288 3.34503 3.50186 3.84368 4.28932 4.69570 30.0 2.95776 3.35042 3.50745 3.84973 29598 4.70291 2.96242 3.35556 .51280 3.85551 4.70980 31.o 4.30233 3. 51791 2.0 s 3. 86105 4.30842 4.71640 2.96688 3.36049 2.97115 4.31425 4.72272 3.0 3.36521 3,52281 3.86635 a4.o 2.97525 3.36974 3.52752 3.87144 4.31985 4.72879 5.0" 2.97919 3.37409 3.53203 3.87632 4.32523 73462 6.0 2.98298 3.37827 3.53638 3.88102 4.33040 4.74023 7.0 2.98662 3.38230 3.54056 3.88555 4.33538 4.74563 38.0 2.99013 3.38618 3.54459 3.88991 4.34018 4.75083 39.0 2.99352 3.38992 3.54848 3.89412 4.34487 4.75585 40.0 2.99679 3.39353 3.55223 3.89818 4.34928 4.76069 2.99995 3.39702 3.55586 3.90210 35359 4.76537 4l.0 2.0 4.76990 3.00300 3.40040 3,55936 3.90590 4.35777 3.0 3.00596 3.40367 3.56276 3,90957 4 36181 4.77428 3.00882 3.40683 3.56604 3.91313 4 36573 4.77853 " 3.o1159 3.40990 3.56923 3.91657 4 36952 4.78264 46.o 3.01428 3.41287 3.57232 3.91992 4.37320 4.78663 47.o 3.01689 3.41575 3.57531 3.92316 4.37677 4.79050 8.o 3.01943 3.41856 3.57822 3,92631 4.38024 4.79426 9.o 3.02189 3,42128 3.58105 3,92937 4.3836o 4.79791 0.o 3.02428 3.42392 3.58380 3.93235 4.38688 4.8o147 60.0 3.04504 3.44688 3.60765 3.95817 41537 4.83230 3.06146 3,46505 3,62653 4 43781 4.85670 70,0 3.97860 3.07488 3.47990 3.64196 4 45621 4.87666 80.0 3.99532 3.08613 3,49235 3,65489 4.00933 4 47164 4.89340 90.0 3.09573 3.50298 3.66595 4.02130 4.48483 4.90771 100.0 4 l10.0 3.10407 3.51221 3.67553 4.03168 49627 4.92012 120.0 3.11139 3,52031 3,68396 4.04081 4.50633 4.93104
GB/T4885?2009 y=.40 ..5000000 6000000 6500000 .7000000 7500000 8000000 "0 .22975 .09237 .25457 42457 .60878 .81586 a.D .16667 .12012 .26662 .41983 .58443 76726 .0 .13677 .27796 .42572 ..58435 76025 13834 .43195 s0 12107 14826 .28684 58775 76048 15684 6n.0 .l0908 .29387 .43744 .59161 76256 16356 7.0 .10010 .29957 .44214 .59528 76509 8.0 .09304 16902 .30431 .44618 59860 76765 9.0 .08731 17356 .30833 44969 60159 .77008 .77255 10.0 .08252 .31180 45276 60427 .07845 18078 31482 45548 60669 77445 1.0 2.0 .07493 18370o .31749 45791 60887 77639 .31987 .07184 18630 46009 61085 .77817 8 .77982 .06911 18862 2201 G1267 46206 5.0 06667 32395 78I5 61433 19070 46386 06447 6.0 19260 .32572 .61586 46551 78277 17.0 .06248 19433 .32734 .61728 46702 78410 .06066 .19591 .32883 .61860 18.0 46842 78533 19.0 .05899 19738 .33020 46972 .61983 78649 20.0 .05745 19873 .33148 47094 62098 78758 .05603 19999 .33268 47207 ..62205 78861 21.0 .05470 .20117 .47313 .62307 .78958 ..33379 " .05347 .20227 790t5 33483 712 62402 79136 aL0 .47506 .62492 33582 .05232 .20330 .20427 .33674 .47595 62577 79218 .05123 05022 .20518 .33762 47679 62658 79296 .04926 .20605 .33844 47759 62735 79371 28.0 .04835 20686 .33923 47834 62808 79442 29.0 .04749 .20764 33998 47906 62878 79510 30.0 .04668 .20838 .34069 47975 62945 79575 .04591 20908 .34136 48040 79637 31.o 63008 .04517 20976 79697 34201 48103 63069 2.0 .04447 34263 79754 3.0 .21040 48163 .63128 3A.0" .04380 .21101 .34322 48220 .63184 79809 35.0 .04316 .21160 .34379 48276 .63238 79862 36.0 .04255 .21216 .34433 48328 .63289 79913 37.0 .04196 .21270 .34485 48379 .63339 79962 38.0 .04140 .21322 .34536 48428 ..63387 .80009 39.0 .04085 .21372 .34584 .48476 ..63434 .80055 40.0 .21420 ,34631 .48521 ..63479 .80100 04033 21487 .03983 34676 48565 63522 80142 41.0 2.0 .03935 m .34720 48608 .63564 80184 21533 .03888 3.0 .34762 48649 .63604 80224 4.0 .21596 .03843 .34802 48689 63643 80263 45.o 21637 .03800 .34842 487217 63681 80301 46.0 .03758 .21676 .34880 48765 63718 80337 47.0 .03717 2 .34917 48801 63754 80373 .21751 48.0 .03678 .34952 48836 80407 63789 .21786 49.0 .03639 ,34987 48870 63823 8044 .21821 50.0 .35021 63855 80474 03602 48903 03285 60.0 .22118 .35312 49190 .64140 80758 .03040 22350 .35540 .64364 .80984 70,0 49415 .02842 .22538 .35725 .64548 80.0 49599 81169 .02679 .22694 .35879 .64702 90.0 49752 81324 .02540 .36010 .64833 100.0 22826 49883 81457 l10.0 .02421 .22940 .36123 49996 .64946 .81573 120.0 .02318 ,23040 .36222 .50094 .65046 .81674 18
GB/T4885?2009 y=.40 R 8500000 ..9000000 .9500000 9900000 .9950000 9990000 " 1.05979 1.36890 1.82659 2,67232 2.97779 3.60303 .97998 1.24692 1.64048 2.37154 2.63724 3.18289 3." .0 .96455 1.22056 1.59798 2.30027 2.55596 3.08150 5 2.2728o .96l01 1.21226 1.58274 52424 3.04130 oy 60 ? .96101 1.20967 1. ..57643 2.26002 50922 3.02184 7.0 2. .96225 1.20932 1.57383 2.25355 50143 3.01145 A.0 .96394 1.20996 1.57299 2.25022 2 49726 3.00564 B.0 .96576 1.21104 1.57306 2.24859 49507 3.00236 10.0 .96757 1.21232 1.57360 2.24795 49404 3.00058 .96933 1.21367 1.5744 2.24790 49372 2,9997" B0 .97099 1.21502 1.57536 2.24822 2 49384 2.99949 .97256 1.21635 .57637 24876 2. 3 49424 2.99964 .21764 2 97404 1.57712 49483 3.00004 1.5784s .25023 49553 L87 3 .97543 .00062 6.0 3 2 1.57949 25106 97674 1.22005 49631 3.00131 7.0 1.58050 2. 2 49713 97797 1.22118 25192 3.00208 2.25279 8.0 1.58147 2 49798 .97912 1.22225 3.00290 9.0 .98022 1.22328 1.58242 49883 3.00375 2.25366 20.0 2.25452 .98125 1.22425 1.58333 49969 3.00461 .98222 1.22518 1.58421 2.25536 2 50054 3.00547 22607 1.58506 25619 2.50137 2. .98315 3.00633 1. 2. 25701 22691 1.58588 98403 50220 3.00719 1.22772 2 98487 .2578o .00803 3. 1.58667 .50300 3. .98566 1.22849 . 58743 2.25857 2 50379 00886 98642 1.22924 l.58816 2.25933 " 50456 3.00968 2. .98715 1.22995 l.58886 2.26006 ,50531 3.01048 .98784 1.23063 1.58954 2.26077 2.50604 3.01126 9.0 2 .98851 1.23128 1.59020 2.26146 .50675 3.01202 30.0 2. .98914 1.23191 1.59083 26213 2 .50744 3.01277 .98975 1.23252 1.5914 2.26278 .01350 31.o 3. 2.0 26342 .01421 99034 1.23310 1.59203 3. " .99091 1.23367 1,59261 2.26403 " 50941 3.01490 34.o 3 .99145 1.23421 l.59316 51004 3.01558 2.26463 2. 2. 5.0" .99197 1.23473 l.59369 26521 ,51064 3.01624 6.0 2. 2. .99248 1.23524 1.59421 26578 .51123 3.01688 7.0 2. 2. .99297 1.23573 1.59472 26633 .51181 3.01751 38.0 2. 2.51237 .99344 1.23620 1.59521 .26687 3.01812 9.0 .99390 1.23666 1.59568 2. 26739 2.51291 3.01872 40.0 2.26790 2.51344 .99434 1.23711 1.59614 3.01930 3.01987 2.51396 99476 1.59659 .26840 1.23754 .99518 159702 26888 4n 1.23796 .51 3,02043 .99558 1.23837 1.59744 2.26935 51496 3.02097 .99597 1.23876 1.59785 2.26981 2. ,51544 3.02151 " 2 .99635 1.59825 2.27026 .51591 3.02203 1.23914 46.o 1.23952 .99672 1.59864 2.27070 3 51637 3. 02253 47.o 99707 1.23988 59902 2.27112 2. 51682 3.02303 2.51726 8.o .99742 1.24023 .59939 2 27154 3.02352 9.o .99776 1.24058 1.59976 2.27195 3.02399 2.51769 0.o 2.5181m .99809 1.24091 1.60011 2.27235 3.02446 60.0 1.00096 1.24386 1. 60322 27589 .52184 3.02861 2. 2. 1.24622 1.60573 2788o 70,0 l.00325 .52491 3.03205 1.00514 1.24818 1.60783 52750 80.0 2.28124 2. 3.03495 2.52971 1.24984 1.60961 3.03744 90.0 l.00673 2.28333 1.00809 1.25126 1.61115 2.53163 3.03961 100.0 2.28514 l10.0 1.00928 1.25250 1.61250 2.28673 2.53333 3.04153 120.0 1.01033 1.25360 1.61369 2.28814 2.53483 3.04323 19
GB/T4885?2009 y=.40 9999990 9995000 9999000 9999500 9999900 9999999 "0 3.84528 4.36193 !.56833 5.01789 5.60350 6.13716 3.0 3.39473 3.84706 4.02791 4.42202 4.93572 5.40407 3.28567 3.72178 3.89621 4.27639 5.22405 .0 4.77205 67155 .0 4.21763 4.70578 5.15098 3.24223 3. 3.84328 67286 6.0 3.221l0 3.64689 3.81723 4.18858 4 5.1l457 7.0 3.20973 3,63346 3,80299 4 17261 4 65466 5.09437 8.0 3.20330 3.62575 3.79478 4. l6332 4.64399 5.08246 9.0 3.19962 3.62123 3. 78993 4. 15777 4 63756 5.07524 0.0 3.19757 3.61862 3. 78710 15448 4 63368 5.07084 3.19653 3.61720 78554 4.1526o 4.6314 5.06822 3 H0 3 19616 3.61656 78479 4.15164 4.63019 5.06677 . 19621 61643 4.15131 s 78460 4.62968 5.06612 3. 3. 19655 61665 78477 4.15139 s 62966 5.06601 3. 3. 4.62997 4.15177 .06627 3.19709 3 5. 3.6171l 78521 6.0 4.63052 3.19775 3.78581 4.15235 3.61773 5.06681 7.0 3.78654 4. 15307 4.63124 3.19851 3.61847 5.06753 8.0 3.19932 3,61928 3.78735 4. 15389 4.63208 5.06838 9.0 4 3.20017 3.62013 3.78822 15477 4.63299 5.06933 20.0 3 3.20104 3.62102 78912 4.15570 4.63396 5.07034 3.20191 3,62193 3.79004 4.15665 4.63496 5.07139 3.2029 62284 4.15762 5.07247 s s 79097 4.63599 79190 4.1586o 3. 62376 3 4.63702 5.07356 030 3. 3. 62466 .20453 79282 4.15957 4.63805 07466 3. 5. 3.20338 4. 4 3.62556 3.79374 16053 63909 5.07575 3,20621 4 3.62645 3.79465 16149 4.64011 5.07684 3.20703 3.62732 3.79554 4.16243 4.64112 5.07791 4 3.20784 3.62817 3.79642 l6336 4.64211 5.07897 9.0 3 3.20862 3.62901 79728 16427 4.64310 5.08002 30.0 3. 3.20939 3,62983 79813 16516 4.64406 5.08105 .21o14 63064 4.16604 4.64500 79895 31.o 5.08206 3." 3. 3 2.0 79976 4.16690 4.64593 5.08305 3. 3.21088 3.63143 4.16774 3.0 3.21159 3.63219 3,80055 4.64684 5.08402 3. o 3.21229 3.63295 .80133 4. 16857 4.64773 5.08498 35.0 3.21298 3.63368 3.80208 4. 16937 4.64860 5.08591 6.0 3.21364 3.63440 3.80282 4.17016 4.64946 5.08683 7.0 3.21429 3.63510 3.80355 4.17093 4.65029 5.08772 38.0 3.21493 3.63579 3.80425 4.17168 4.65111 5.08860 9.0 3.21555 3.63646 3.80494 4.17242 4.65191 5.08946 40.0 3.21616 3.63711 3.80562 4.17314 4.65269 5.09030 21675 4.17385 3.80628 4.65346 5.09112 3. 3.63775 4.17454 .65421 5.09192 3.21733 3.63838 3,80693 3.21789 3.63899 3.80756 4. 17521 4 65494 5.09271 3,63959 3.80818 1.17587 4 65566 5.09348 3.21844 3.21898 3,64018 3.80878 4.65636 5. .09424 4.17652 .17715 3.21951 3,64075 3.80937 4.65705 5.09498 47.o 3,2200:3 3.64131 3.80995 4.17777 4.65772 5.09570 8.o 3.22053 3.64186 3.81052 4.17838 4 65838 5.0964 9.o 3.22103 3,64239 3.81107 4.17897 4.65903 5.0971 0.o 3.22151 3.64292 3.81161 4.17955 4.65966 5.09779 60.0 3.22584 3,64764 3.81649 4.18478 4 66536 5.10393 3.22943 3,65155 3.82054 4 70,0 18914 4.67012 5.10906 3.23246 3.82398 5.11342 80.0 3.65487 4.19283 4.67416 3.23506 3,65773 3,82693 4.196o1 4.67764 90.0 5.l1718 3.23734 3,66022 3.82951 5.12047 100.0 4.19879 4.68069 l10.0 3.23934 3.66242 3.83179 4.20125 4.68338 5.12338 120.0 3.24112 3.66438 3,83383 4.20344 4.68578 5.12598 20
GB/T4885?2009 y=.50 R 5000000 6000000 6500000 .7000000 7500000 8000000 " .32031 .49223 .67899 .88735 1.12703 00000 3.0 .28667 .43745 .59798 .77324 .00000 97068 .27540 .41962 .57246 ..73847 .0 00000 .92456 .72173 .00000 26979 4l083 56002 90263 ,.0 .00000 6n.0 .26645 .40561 .55268 71191 88984 00000 7.0 .26423 .40216 .54784 70546 88147 00000 8.0 26265 .39971 .5444l 70091 87557 9.0 .00000 .26148 .39788 .54186 69752 87119 0000n 10.0 26056 39646 53988 69490 86781 25983 39533 53830 69281 86512 1l.0 00000 20 25924 3944n 53702 6911m .86294 00000 25874 w0 86112 00000 39364 53595 25832 53505 85959 39300 861 .25796 00000 .6879 .39244 .53428 85828 00000 n.0 25765 .39196 .53361 .68661 85715 7.0 00000 .25738 .39154 .53303 .68584 85616 o0000 18.0 .25714 ,39117 ,53252 .68517 85530 .25693 .39085 53206 .68457 .85452 19.0o 00000 20.0 .25674 39055 53165 .68403 .85384 .25657 53129 ..68355 .85322 21.0 00000 39029 .2564l .68311 00000 ..39005 53096 .85260 " .68272 8215 .25627 .00000 38983 53066 S19 240 .256l5 68235 .00000 38964 53038 00000 .25603 .38946 .53013 ..68202 85126 .00000 .25592 .38929 .52990 68172 85087 .00000 .25582 .38914 52969 68144 85051 .00000 25573 38899 52949 68118 85018 8.0 .25564 38886 52931 68094 84987 00000 30.0 25556 52914 68071 .84958 00000 25549 52898 84932 31.o 00000 38862 68050 84907 2.0 00000 25542 38852 52883 68031 00000 25536 38842 52869 3.0 .68013 84883 31.0 .00000 .25529 .38832 .52856 .67995 84861 00000 35.0 .25524 .38823 .52844 .67979 84840 00000 6.0 .25518 .38815 .52832 67964 84821 37.0 .25513 .38807 .52821 .67950 84802 38.0 .25508 .38800 .52811 .67936 .84785 00006 .25504 .38793 .528o1 .67923 .84768 39.0 00006 40.0 .25499 .38786 .52792 ,6791m .84753 00006 495 38779 52783 67899 ,84738 41.0 .254 .00000 .254 2.0 491 274 .38773 .67888 .84724 25488 .00000 3.0 .38768 .67878 .84710 4.0 .52759 .00000 .38762 .67868 84698 .25484 45.o 2751 .00000 .25481 .38757 67858 84685 2744 25t77 .38752 67849 84674 6.0 47.o .38747 2738 67840 84662 .254714 8.o 52731 .25471 .38742 84652 67832 00000 9.o .25468 8464 38738 .52725 67824 00000 0.o .52720 .25466 .38734 .67816 84632 00000 00000 60.0 .25443 .38700 52672 67754 84552 00000 .38675 .52638 .67709 .84495 70,0 .25428 00000 .38657 .52613 .67676 80.0 .25416 84453 .00000 .25407 .38643 .52594 .67651 90.0 84420 .00000 .25399 .38632 .52578 .67630 .84394 100.0 l10.0 .00000 ,25393 .38623 .52565 .67614 .84373 120.0 .00000 ,25389 .38615 .52555 .67600 .84355 21
GB/T4885?2009 y=.50 .8500000 9000000 .9500000 9900000 .9950000 9990000 "0 1.41451 1.78422 2.33873 3.37597 3.75294 4.52669 3.0 1.20329 1.93842 3.06643 3.68821 2.76448 l.49848 2. 1.14282 1.82951 2.88304 3.46458 .0 l4l887 60082 52577 s0 3 1.38182 77928 79900 3.36214 1.ll439 2. 75094 6.0 2 l.09791 .36046 75046 48284 3. .30358 71987 7.0 2. 1.08717 1.34659 73179 45508 3.26572 8.0 1.07961 1.33685 71872 2 43567 2 69814 3.23925 9.0 1.07401 1.32965 70908 2 42134 2 68210 3.21971 10.0 1.06970 1.32410 70163 2. 41032 2 66978 3.20469 2 1.06627 1.31970 69574 4016o 2 .66001 3.19279 B0 1.06348 1.31613 1.69096 2.39451 2.65209 3.18313 1.06117 1.68700 .64552 3.17514 3 1.31316 y 38864 1.05923 .31067 3 38371 2.6400o0 .68366 3.1684 2. 2.63528 1.30854 1. 68082 .37949 3.16266 l.05756 6.0 2 30670 1.67836 2.37586 63121 3.1577 l.05612 . 7.0 1.30509 1.67621 2.37268 2 3.15339 1.05487 .62767 8.0 1.30368 1.67433 2.62455 l.05377 2.36990 3.14958 9.0 1.05279 1.30243 1.67266 2.36742 3.14621 2.62178 20.0 2.61931 1.05191 1.30131 1.671l6 2.36522 3.14320 1.05113 1.30030 1.66982 2.36323 3.14050 2.61709 61509 3.13806 1.05o42 2. 1.29939 1.66861 36144 i.o4977 1.66752 2 3.13585 22 1.29857 35982 2 1.o4918 1.29782 2.G2 35834 1.66651 3.13383 3 1.04865 1.29713 l.66560 2.35698 61010 3.13199 2. 1.04815 1.29650 l.66475 2.35574 ,60871 3.13029 2. 1.04769 1.29592 66398 2.35459 .60742 3.12872 1. 1.04727 .29538 66326 2.35353 2.60624 3.12728 9.0 1.04688 1.29488 1.66259 2.35255 2.60514 3.12594 30.0 2. 1.04652 1.29441 1.66197 35163 2 60411 3.12469 1.04618 1.66140 2.35078 3.12352 31.o 2.60316 l.29398 2 3.1224 2.0 2.020 1.04586 1.29357 1.66086 34998 3.0 l.04556 l.29319 1.66035 2.34923 " 60143 3.12142 a4.o 2. l.04528 1.29284 l.65988 2.34853 60064 3.12046 2. 5.0" 1.04502 1.29250 l.65943 2.34787 ,59990 3.11956 2. 6.0 1.04477 1.29219 65901 .59921 3.11871 2.34725 7.0 2.34666 1.04454 1.29189 1.65861 2 .59855 3.11791 38.0 1.04432 1.29161 1.65823 2.59793 3.11716 2.34610 2.34558 9.0 1.04411 1.29134 1.65788 2.59734 3.11644 40.0 2.34508 1.04391 1.29109 1.65754 2.59678 3.11576 1.o4372 .65722 3.11512 1.29083 .59626 23 1.29062 1.65692 59575 l.04354 g 3.11450 3 1.04337 1.29040 1.65663 59527 3.11392 1.04321 1.65635 " 59482 3.l1337 2.34332 1.29019 " 1.04306 1.65609 34293 2. 59438 3.11283 46.o 2 1.04291 1.65584 .34256 59397 3.11233 47.o 1.04277 1.28962 65559 2 34221 2.59357 3.11184 8.o 2. 1.04263 1.28945 65536 2.59319 3.11138 34187 9.o 1.04250 2.34154 2.59282 3.11094 1.28929 1.65514 0.o 1.04238 1.28913 1.65493 2.34123 2.59247 3.11051 60.0 1.04136 1.28784 1. 65321 2.33869 58963 3.10705 2 2. 1.65199 2.33689 70,0 l.04065 l.28692 .58762 3,10460 1.28624 1.65109 2.58612 80.0 1.04011 2.33555 3.10277 1.28571 1.65038 2.58496 3.10136 90.0 l.03970 2.3345 1.03936 1.28529 1.64982 2.33368 2.58403 3.10023 100.0 l10.0 1.03910 1.28494 1.64937 2.33301 2.58328 3.09931 120.0 1.03887 1.28466 1.64898 2.33245 2.58265 3.09854 22
GB/T4885?2009 y=.50 R 9999990 9995000 9999000 9999500 9999900 9999999 "0 4.82701 5,46829 5.72470 6,28347 7.01187 7.67605 a.D 3.93004 4.44705 .65395 5.10509 5.69358 6.23048 .0 3.69087 4.17481 5.34216 4.36851 4.79097 5.845ll 5 .58132 4.23777 4.05011 4.64708 518117 5.66855 3. 089l0 6n.0 3.51869 3.97881 4.16302 4. 56480 5 5. .56757 7.0 3,47820 3.93272 4.l1469 4,51160 5.02957 5.50228 8.0 3.44989 3.90049 08089 4. 4744l 4 98795 5.45662 N n.0 3.42899 3,87670 05595 4. 44694 4.95721 5.42291 N 10.0 3.41293 3.85842 4.03677 42584 4 93359 5.39700 3.40021 3,84393 .02158 4.40911 4.91487 5.37646 l.0 20 3.38988 3.83217 4.00925 4.39554 4.89967 5.35979 82243 4.38429 3.38132 4.88709 5.34599 3. 3.99904 37413 .33437 3.81423 4.37483 4.87650 5 3. 3.99044 3. 3.9831 5. ..36798 3.80724 4.36676 4.86746 32445 6.0 3.36268 3,80120 3,97678 4.35979 4.85966 5.31590 7.0 3.35806 3.97126 4. 35371 5.30843 3.79594 4.85286 8.0 3.79131 3,96640 3.35399 4.34836 4.84687 5.30187 9.0 3.35039 3.78720 3.96210 4.34363 4.84157 5.29605 20.0 3.34717 3.78354 3.95826 4.3394o 4.83683 5.29085 3.34428 3.78025 3.95481 4.3356o 4.83258 5.28619 3.34167 3.95169 4.33217 77728 3. 4.82874 5.28198 4.32905 4.82526 5.27815 7158 s" 3.33931 3,94886 32622 7212 .27467 4.82208 3. 3.33715 3.94629 4 3.33517 3.76988 3.94393 4.32362 81917 5.27148 4. 3.33336 3.76781 3.94176 32123 4.81650 5.26855 3.33168 3.76590 3.93976 4.31903 4.81404 5.26584 3.33014 3.76414 3.93791 4.31700 4.81176 5.26335 9.0 3.32870 3.76251 3.93620 4.31511 4.80965 6.26103 30.0 3.32737 3.76099 3,93461 4.31336 4.80768 5.25887 3.32612 75957 93312 4.31172 4.80585 5.25686 31.o 3 3. .32496 .93173 2.0 4.31019 4.80414 5.25498 3. 3.75824 3. 4.30876 4.80253 3.0 3.32387 3.75700 3,93043 5,25322 a4.o 5. 3.32285 3.75584 3.92921 4. 30741 4.80103 25157 4 5.0" 3.32188 3.75474 3.92806 4.30615 79961 5.25002 6.0 3.32098 3.75371 3.92698 4.30495 4.79828 5.24855 7.0 3.32012 3. 75274 3.92595 4.30383 4 79702 5.24717 38.0 3.31931 3,92499 4.30277 4.79583 5.24586 3.75181 3. 9.0 3.31855 75094 3.92407 4.30176 4.79470 5.24463 40.0 3.75012 3.31782 3.92321 4.3008o 4.79363 5.24345 3.92238 4.29990 4.79262 5.24234 3.31713 3.74933 4.29903 4.79165 3.31648 3.74858 3.92160 5.24128 79073 .24027 3.31585 3.74787 3.92085 4. 29821 4 5. 78986 3.92014 4. 29743 5.23931 3.74720 3.31526 " 74655 3.31469 3. 3.91947 4.29669 78902 5.23840 n.0 3.31415 3. 74593 3.91882 4.29597 78822 5.23752 47.o 3,3136:3 3. 74534 3.91820 4.29529 78746 5.23668 3 8.o 3.31313 74478 3.91761 4.78673 4.29464 5.23588 9.o 3.31266 3.74424 3.91704 4.29401 5.2351 78603 0.o 3.31220 3.74372 3.91650 4.29341 4.78536 5.23438 60.0 3.30850 3.73950 3.91208 4.28855 4.7799 5.22840 4. 28510 4. 5.22416 70,0 3.30588 3.73652 3.90894 77605 3.30392 3.73429 3.90661 4.28253 4 77317 5.22101 80.0 3.302 3.73257 3,90480 4.28054 5.21856 90.0 4.77094 3.30120 3.73119 3.90336 4.27895 5.21661 100.0 4.76917 l10.0 3.30022 3.73007 3.90218 4.27766 4.76772 5.21502 120.0 3.29940 3.72914 3.90121 4.27658 4.76651 5.21370 23
GB/T4885?2009 y=.60 ..5000000 6000000 6500000 .7000000 7500000 8000000 "0 .22975 ,58070o .77891 .99975 1.25098 1.54430 .16667 .46491 .62592 79989 .99224 1.21135 30 42095 .57171 .0 13834 73325 91046 l.1l086 .12107 .54218 39620 6980 .86832 1.06029 s0 60 .l0908 .37982 .52303 .67557 .84194 l.02908 7.0 .10010 .36796 .50936 .65976 .82356 1.00757 A.0 .09304 .35887 .49899 .64788 80987 99169 B.0 .08731 .35161 49078 .63855 79919 97937 0.0 .08252 .34564 48408 .63097 79058 96949 .07845 34063 47848 62468 78345 96135 .07493 33634 ..47371 .61934 77743 95450 .33262 .6i7 77227 94865 07184 46958 32935 7677 94356 06911 .61072 4659r7 .60718 6381 93910 827 .06667 .32644 6.0 .32384 .45992 .60403 .76030 .06447 93515 7.0 .32149 .45735 .60120 ..75715 .06248 93161 18.0 .06066 .31936 .45502 .59864 75431 92843 .05899 .31742 .45290 59631 .75173 .92554 19.0o 20.0 .05745 31563 45096 59418 74938 .92291 .05603 .31399 .44917 .59222 74722 92050 .05470 44752 .59041 74523 .91829 31246 .05347 44598 .58874 74338 91624 .31104 .30972 05232 74167 .44455 .58718 .91433 .03128 .30849 .44322 .58573 74008 91256 .0502 .30733 44197 58437 73858 91091 .04926 .30624 44079 58309 73719 90936 .04835 .30521 43969 58189 73587 90791 .04749 .30424 43864 58076 73463 .90654 30.0 .04668 .30332 43766 57969 73347 .90525 .0o4591 .30245 43672 .57868 73236 31.o 90403 .04517 .30162 57772 2.0 43583 73131 90287 30083 90178 3.0" .04447 .43499 .57680 73032 o .04380 .30008 .43418 .57594 .72937 90073 5.0 .04316 .29936 4334 5751l .72847 89974 6.0 .04255 .29868 43268 .57432 72761 89880 7.0 .04196 29802 43198 .57356 72679 .89789 38.0 .04140 .29739 .43131 .57284 72600 .89703 9.0 .29679 .43066 .5721" 72525 .89620 04085 40.0 .29621 .43005 .57148 72453 .89541 04033 03983 29565 42945 57084 72383 89465 l.0 .03935 2951 57023 72317 .42888 89392 " .03888 .29460 .42833 .56964 72253 89322 .03843 .56907 89254 .29410 .42780 72191 " .29362 2132 .03800 22e 56852 89189 2679 46.o 29315 72074 .03758 56799 89127 47.o .03717 29270 42632 56748 72019 89066 8.o .03678 .71966 89008 29227 42585 56698 9.o .03639 .42541 88951 29185 56650 71914 0.o .29144 .42498 .566o4 .71864 88897 03602 03285 60.0 .28797 .42129 .5621 .71440 88434 .41846 .55909 .71l16 70,0 .03040 .28529 88082 .02842 .28315 .41621 .55669 ..70858 80.0 87802 .02679 .28138 .41435 .55472 ..70647 90.0 87574 .02540 .27989 .41279 .55307 ..70471 .87383 100.0 l10.0 .02421 .27862 .41145 .55166 .70320 .87220 120.0 .02318 .27751 .41029 .55043 .70189 .87079 214
GB/T4885?2009 y=.60 R .8500000 9000000 .9500000 9900000 .9950000 9990000 " 1.90025 2.36237 3.06139 4.37970 4.86084 5.85031 1.47195 1.80552 2.30676 3.25582 3.60429 4.32339 30 .0 1.34781 1.64973 10217 95847 3.27310 D 2. 3.92274 2 1.57429 2. 1.28659 00471 81874 3.73548 3.l1783 60 2 l.24932 l. .52890 1. 94672 73639 3.02650 3. .62558 7.0 2. 1.22388 1.49819 1.90780 68154 2.96574 3. .55262 8.0 1.20522 1.47582 1.87964 2.64208 2 92210 3.50029 n.0 1.19085 1.45869 1.85818 2.61217 2 88903 3. 46071 10.0 1.17937 44506 1.84l19 2.58859 2 86301 3. 42959 1.16996 43393 1.82737 2.56947 2.84191 3.40439 l.0 20 1.16206 1.42463 1.81585 2.5536o 2 8244 3.38350 1.15533 .41672 2.80963 2. 1.80609 54019 3.36588 3.35077 1.14951 79769 2 52867 79694 1.40989 2. 1.40393 51866 3. 1.14441 79036 78592 33765 6.0 1.13989 1.39867 2.50986 2. 77624 3. 78392 32613 7.0 1.13587 1.39398 2 76766 77818 2.50206 3.31593 18.0 1.13225 1.38978 77305 2.49508 2. 75999 3.30681 2 1.12898 1.38598 1.76842 2 4888o 75309 3.29861 19.0o 20.0 2. 2. 1.12600 1.38253 76422 48311 74684 3.29119 1.12328 1.37937 1.76039 47792 2 74115 3.28444 2. 1.12077 1.37648 75687 47317 3.27825 3 2.73593 75364 2 3.27257 l.37381 46881 1.l1846 2.73114 75065 2 1.37133 46478 2.72672 1.l1631 3.26733 2 3. 1.ll432 1.36904 1.74787 46104 o 72262 .26247 2. 3. 1.11246 1.36690 1.74528 2.45756 .71881 .25796 2. 3. 1.l1072 1.36490 1.74287 2.45432 .71525 .25375 1. 2 2 1.10909 1.36302 74061 45129 71193 3.24982 9.0 2 1.10755 1.36126 73849 44845 70881 3.24613 30.0 2. 1.10611 1.35961 73649 44577 70588 3.24267 1.10474 1.35804 44325 73461 2. 31.o 3.23940 2.70312 2 2.0 1.10345 1.35656 73283 44088 3.23633 2.70052 10222 73115 43863 3.0 2 1.35516 2.69806 3,23341 2. a4.o 3. 1.1o106 \. 35383 72955 43649 2.69572 23065 5.0" 1.09995 1.35256 1.72803 2 69350 3.22803 2.43447 6.0 2. 1.09889 1.35135 72659 43254 2 .69139 3.22555 7.0 2 1.09789 1.35020 1. 72521 43071 2.68939 3.22318 38.0 1.09692 1.34911 1. 72390 2 42896 2 68747 3.22092 39.0 1.09600 1.34806 72264 2. 42729 2.68565 3.21876 2. 40.0 1.09512 1.34705 72144 42569 2 68390 3.21670 2. .21472 1.09428 1.34609 72029 42416 68223 3. 4.0 1.09346 71918 2 68062 3.21283 2.0 1.34517 42270 2 67908 3.0 2. 2. 1.09268 1.34428 .71812 42129 3.21102 1.09193 1.34342 1.71711 41994 2 67761 3.20928 2 " 1.09121 1.34260 1.71613 2 41864 2 67619 3.20760 1.09051 1.34181 71518 2 41739 2 67482 3.20599 6.0 47.o 1.08984 1.34105 71427 2 41619 2.67350 3.20444 8.o 2. 1.08919 1.34031 41503 2.67224 3.20295 1.71340 9.o 1.08857 1.33960 2. 41391 2.67101 3.20150 1.71255 0. 0 1.08796 1.33891 1.71173 2.41282 2.66983 3.2001l 60.0 1.08284 1.33312 1. 70485 2. 40373 65990 3.18842 2 2. 1.32873 2.39690 3.17965 70,0 l.07896 1,69965 .65244 1.32527 1.69556 3.17278 80.0 1.07588 2.39153 2.64659 1.32244 2.64184 3.16721 90.0 l.07337 l.69224 2.38718 1.07127 1.32009 1.68947 2.38356 2.63790 3.16258 100.0 l10.0 1.06949 1.31809 1.68712 2.38050 2.63456 3.15867 120.0 1.06795 1.31636 1.68509 2.37786 2.63169 3.15530 25
GB/T4885?2009 y=.60 9999990 9995000 9999000 9999500 9999900 9999999 " 6.23487 7.05660 77.38535 8.10209 9.03687 9.88957 a.D 4.60350 5.20286 5.44289 5.96654 6.65005 7.27395 4.71776 5.4084o .0 4.17590 4.93480 6.02670 6.59117 5.1483o 3.97620 449147 4.69788 5.73639 6.27331 ,.0 35889 99604 6n.0 3.85908 N 4.5591 4. 5 56652 6.08738 7.0 3.78136 4.27099 4.46714 4. 89516 45403 5.96429 8.0 3.72564 4.20802 4.40125 4. 82293 5.3735 5.87621l n.0 3.68351 4.16043 4.35147 76838 5.31272 5.80973 10.0 3.65040 12304 4.31238 72554 5 26500 5.75755 3.62359 4.09279 !.28075 4.69090 5.22642 5.71537 H8 3.6o139 4.06775 4.25457 4.66223 5 19450 5.68047 58265 1.23248 .16758 5.65105 4.04662 4.63805 3. .56658 14453 .62586 4.02852 .21356 4.61734 3. 5 19714 4.59937 S 12453 5. 3.55264 4.01281 .60401 6.0 4.18274 5. 10700 3.54o41 3.99903 4.58361 5.58486 7.0 4.16998 5.56790 3.52957 3.98682 4.56966 5.09148 8.0 3.51989 3.97593 15860 5,07763 5.55277 N 4.55721 9.0 3.51l18 3.96613 14836 4.54601 5.06518 5.53917 20.0 3.50330 3.95726 13910 4.53588 5.05391 5.52687 3.49612 3.94919 .13067 4.52666 5.04367 5.51568 48956 5 .03430 5.50545 3.94181 4.12296 4.51823 3 3.93503 4.51049 02569 5.49605 4.1l588 348353 3.47797 5.48739 4.50335 3.92877 4.10934 01775 4. 3.92298 4.l0329 49674 5.01040 5.47937 3.47281 3. 4. 46803 3.91760 4.09767 49060 5.00358 5.47191 3. 4. 46356 3.91258 N 09243 48487 4.99722 5.46497 3 45939 3.90789 N 08754 47952 4.99128 5.45848 9.0 4 3.45548 3.90350 08295 47451 4.98571 5.45241 30.0 3.45180 3,89937 4.07864 4698o 4.98048 5.44670 44834 4.07458 4.46537 4.97555 5.44132 31.o 3.89548 3." 44507 4.07075 5.43625 2.0 4.46118 4.97090 3." 3.89182 4.45723 4.9665 3.0 3.44199 3.88835 4.06713 5.43146 a4.o 3.43906 3.88506 4.06370 4. 45348 4 96235 5.42692 4 5.0" 343628 3.88195 4.06045 44993 4.95841 5.42262 6.0 5. 3.87898 4.05735 4. 44655 4.95466 41853 3.43364 3. 7.0 431l3 3.87616 4.0544 4. 44334 4.95109 5.4l463 38.0 3.42874 3.87348 4.05161 4 44028 4.94769 5.41092 9.0 3.87091 4.04893 4 43735 4.9444 5.40738 3,42645 40.0 3.42426 3.86846 4.04637 4 43456 4.9413 5.40400 .t2217 3.86611 4.04392 4.93837 5.40076 4.43188 t07 4.0417 4.93553 5.39766 3. 3,86386 4,42932 .93280 3. 41824 3.8617 4.03932 4. 42686 4 5. .39468 3. 41640 3.85963 4.03716 42451 4 93018 5.39183 " 3. 3,85765 4.03508 42224 4 92767 5. .38908 4l462 46.o 3. 41292 3.85573 4.03309 42006 4 .92525 5. .38644 47.o 411227 3. 3.85389 03116 41796 4.92292 5.38390 N 8.o 3. 40969 3.85211 4.02931 5.38145 4.41594 4.92067 9.o 40816 3.85040 4.02752 4 41399 4.9185 5.37909 3. 0.o 3.40669 3.84875 4.02580 4.4121o 4.91642 5.37682 60.0 3.3943 3,83487 4.01132 4. 3963 4 89890 5.35771 3.38502 3.82447 4.00047 70,0 4,38447 4.88577 5.34340 3.37774 3.81632 3.99197 4.37520 80.0 4.87549 5.33220 3.37184 3,80972 3,98508 4.36770 5.32313 90.0 4.86717 3.36695 3.804214 3.97938 4.36148 4.86028 5.31562 100.0 l10.0 3.36280 3.79961 3.97454 4.35622 4.85444 5.30926 120.0 3.35924 3.79563 3,97039 4.35169 4.84943 5.30380 26
GB/T4885?2009 y=.70 R ..5000000 6000000 6500000 7000000 7500000 8000000 "" .51374 ,94086 1.19152 1.47571 1.80320 2.18934 .35635 .68113 .86059 1.05695 1.27634 1.52846 " .29219 75268 1.12206 59065 92803 l.34319 o 54080 69503 .86105 1.04388 1.25138 .25431 60 l.19489 .22839 .50805 .65784 .81859 .99510 78867 7.0 20916 .48440 .63133 .96109 1.15592 .0 .19414 .46628 .61121 76616 .93572 1.12705 .0 .18198 .45182 .59526 74844 .91587 1.10461 0.0 .17186 43994 58223 73404 89982 1.08655 6328 42995 57132 72204 88651 1.07163 B0 .15587 .42139 56202 87523 1.05903 71184 Ba0 .41396 .55396 86553 0303 14939 1.04823 .14365 ..85707 9534 54690 1.03883 0713 401G7 .68853 .13854 .54064 .84960 1.03056 6.0 .13393 .3964l .53504 .68246 .84296 1.02321 7.0 .12976 .39172 .53000 .67701 .83700 1.01663 to .12595 .38745 .52543 ,67207 .83161 1.01069 9.0 .12247 .38355 .52126 .66756 .82671 1.00530 20.0 .11925 .37997 51743 .66344 .82223 1.00038 .11628 .37667 ,51391 .65965 99585 .8181l .37361 ,51065 .65615 .11352 .81431 99l69 .11095 .37077 .50762 .65290o .81079 98783 36811 .6987 98424 .10854 .50480 .80751 .10629 .36563 .50216 .64704 ..80446 98090 .10417 .36330 .49968 .64439 ..80160 97778 .10217 .36l10 49736 64191 79891 97485 .10028 .35904 49517 .63956 79639 .97209 9.0 .09850 .35708 49310 .63736 79400 .96950 30.0 .09680 35523 49114 63527 79175 .96705 .35348 48928 .63329 78962 .96473 31.o 09519 48752 2.0 09366 35181 78760 96253 .6314l 09220 35022 96044 3.0 48584 .62962 78568 34.o .09081 .34870 48424 .62792 .78385 95845 5.0 .08948 .34726 .62629 .7821l 95656 .48272 6.0 48126 .08820 .34587 .62474 78044 95475 7.0 .08698 .34455 .47986 .62326 77885 95303 38.0 .08581 34328 .47852 .62184 77733 95138 9.0 .08468 34206 .477214 .62048 77587 94979 40.0 .08360 .34089 .47601 .61917 ..77446 94828 .61791 47482 .08255 33976 77312 94682 .61670 7182 .08155 .33868 47369 .94542 .08058 .33763 .47259 ,61554 77058 .94407 .07965 33663 .61442 76938 94277 .47153 47051 .07874 .61333 76822 94152 33565 .35472 .07787 46952 .61229 76711 .94031 47.o .07702 33381 46857 61 1128 76603 93915 8.o .07621 .6103o 93802 33293 46765 76499 9.0 .07541 46675 60936 93693 33208 76398 50.0 .07465 .33125 .46589 .60845 76300 93588 92693 60.0 .06807 .32421 .45852 .60066 75470 .06297 31878 .45284 .59468 .74834 70,0 92009 .05887 31443 .44830 .58990 .74326 80.0 91464 .05548 .31084 .44456 ,58597 ..73910 90.0 91017 .05261 .30781 .4414] .58267 ..73560 100.0 90643 l10.0 .05015 .30521 .43871 .57984 .73261 .90322 120.0 .04800 ,30295 .43637 .57738 .73001 .90045