GB/T 3478.7-1995 圆柱直齿渐开线花键 37.5°压力角 M值和W值

621.886.fi

UJD1C8

中华人民共和国国家标准

cB/T3478.1一3478.9-1995

圆柱直齿渐开线花键

Straightcylindricalinvolutesplines

1995一07门2发布1996一05一01实施

国家技术监督局发布

中华人民共和国国家标准

圆柱直齿渐开线花键

37.50压力角M值和W值GB/T34787-1995

Straightcylindricalinyolutesplines

37.50pressureangle-MandWvalues

本标准参照采用ISO4156((圆柱直齿渐开线花键一米制模数一齿侧配合一总论、尺寸和检验芳第三部

分“检验”。

1主题内容与适用范围

本标准规定了标准压力角为37.5。的圆柱直齿渐开线花键的M值(棒间距Ms;、跨棒距M.)和W

值(外花键公法线平均长度)的计算公式及极限尺寸表。

本标准适用于按GB/T3478.1设计制造的37.50压力角的渐开线花键。

2弓1用标准

GB/T3478.1圆柱直齿渐开线花键模数基本齿廓公差

GB/T3478.3圆柱直齿渐开线花键37.50压力角尺寸表

GB321优先数和优先数系

量棒测里尺寸的计算公式

注:允许用相应的钢球代替量棒。

3.1内花键量棒测量尺寸的计算公式

3.1.1量棒直径DR.的确定(见图1)

国家技术监督局1995一07门2批准1996一05一01实施·

GB/T3478.7-1995

图1

Em

D'R=D,rtana,一tan(a,;‘+in-,，一inv37.50)]:(1)

式中D'K;量棒的计算直径;

a—内花键与量棒接触点上的压力角以弧度表示，a,;=cos-华

止夕r了

D,—内花键与量棒接触点处直径;

及一D_-.+2Dm,.

D..-.—外花键大径最大值;

D-,}}—内花键小径最小值;

Em.,—实际齿槽宽最大值，表中按公差等级为7级取值;

inv氏=tan久一氏;

inv37.50=0.1128285.

量棒直径D、按GB321中的R40选取，若D'*不为R40系列数值时，应选取最接近D'*的大值。

3.1.2棒间距MR;的计算(n图2)

Ga/T3478.7-1995

图2

D,

偶数齿:MR,~二-DR;(2)

cosa,m

对二=D,-DR;(3)

cosa,;

D,90

奇数齿;MR二二.cosZ-DR:(4)

cosa;

D,90

M...=—.cosZ一DR;(5)

cosa;_

式中:M.m..内花键棒间距的最大值

Mrzm内花键棒间距的最小值

arm..-当E为E二二时，内花键量棒中心圆上的压力角

一·‘DEm..+inv37.5。一DDR,:

口.mln当E为E，时，内花键量棒中心圆上的压力角

一·‘EDm,,+inv37.5。一DDR,,-'

DR;—内花键用量棒直径。

3.2外花键量棒测量尺寸的计算公式

3.2.1量棒直径DR<的确定(见图3)

322

GB/'r3478.7-1995

图3

S-

D'。二D,[tan(a+inva+;inv37.50)一tans,](6)

式中D'H,量棒的计算直径;

._____.D

外花键与量棒接触点上的压力角以91A度表不，a=cos一件厂

」夕亡尸

外花键与量棒接触点处的直径;

D。二二+D;;.二

二二二一

2

Sni,.实际齿厚最小值，表中按公差等级为7级和基本偏差为h取值;

niva“=tansr-a,

量棒直径D*按GB321中的R40选取，若D',,,不为R40系列数值时，应选取最接近D'a,的大值。

3.22跨棒距Ma,的计算(见图4)

玄川

翻

毗9

︸戈彭In"

遥︶遥布狱~~、~

一UG,p

俐inv37./J

图4

Gs/T3478.7-1995

偶数齿:MI-=+DR.(7)

MI..二=+D*(8)

90

奇数齿MI_=Cosa_.cOS_Z+D}(9)

Dn

M...二二—‘C0S900+De,(10)

Cosa,_乙

式中.MI-—外花键跨棒距的最小值

M_—外花键跨棒距的最大值

a-,.—当S为Sm。时，外花键量棒中心圆上的压力角

0..ai

D,—外花键用量棒直径。

4外花键公法线平均长度W的计算公式(见图5)

图5

inv37.5。十es。一(T+A)]，·

W_=cos37.50[(k一0.5)arm+D·

W，.‘=Wm,}+T·cos37.50::;:

式中:wm.。—公法线平均长度最小值;

W二。x—公法线平均长度最大值;

K-跨齿数，K=1.25XZ/6+0.5(取整数卜

(T+劝—总公差;

T-加工公差;

es-作用齿厚上偏差。

5量棒测量尺寸

51内花键的量棒测量尺寸

模数为0.5至10mm、齿数10至100、公差等级为4至7级、基本偏差为H的内花键测量用量棒直

324

GB/T3478.7-1995

、棒间距的最大值m-。和最小值M-1。见表1至表14,

外花键的量棒测量尺寸

模数为0.5至10mm、齿数10至100,

公差等级为4至7级、基本偏差为h的外花键测量用量

棒直径D,.,、跨棒距的最小值M-。和最大值M-..见表15至表28.

5-2-2当外花键的基本偏差不为h时，其跨棒距尺寸应按3.2.2所列公式进行计算，也可按下式算出

差值△M后‘，对表中的跨棒距数值进行修正。

AMa,=K,·es…“·····.···············….…(13)

式中:K—变换系数，见表15至表28,

5.3表1至表28所列的量棒直径D。和D}是按3.1.1和3.2.1条确定的。必要时，在量棒上制出一个

平面，以避免同花键底部接触。

5.4当实际选用的量棒直径与标准中所列的直径有出入时，其内花键棒间距的最大值M和最小值

M.-、外花键跨棒距的最小值M-。和最大值M-..，应按实际量棒直径进行计算。

6公法线平均长度W极限值

6.1模数。5至10mm、齿数10至100、公差等级为4至7级、基本偏差为h的外花键公法线平均长

度W极限值，见表29至表42.

6.2当外花键齿厚的基本偏差不为h时，其公法线平均长度的差值△W按下式计算。

△W=esv·cos37.5'=0.793·es

Ga/T3478.7-1995

表1棒间距Mw

37.50内花键模数，=0.5作用齿槽宽最小值Ev.m=O.785

为检验E-。和E-，的棒间距M.

量棒

齿数

直径4H5H6H7H

Z

Drs:

minmaxnlln介laX幻Inmaxmmmax

101.003.2773.3063.2883.3353.3043.3773.3283.444

111.003.7503.7753.7603.8023_7733.8413.7963.904

121.004.3134.3374.3224.3634.3364.4014.3574.463

131.004.7814.8044.7904.8294.8034.8664.8244.926

141.065.1425.1665.1515.1935.1655.2325.1875.295

151.065.6165.6395.6Z55.6655.6385.7035.6595.764

161.'066.1616.1846.1706.2096-1836.2476.2046.308

171.066.6356.6576.6446.6826.6566.7196.6776.779

181.067.1747.1967.1827.2217.1957.2577.2167.317

191.067.6497.6717.6577.6957.6707.7317.6907.791

201.068.1838.2058.1928.2298.2048.2658.2248.324

211.068.6598.6818.6688.7058.6808.7418.7008.800

之21.069.1909.2119.1989.2359.2119.2719.2319.330

231.069.6689.6899.6769.7139.6899.749,9.7099.807

241.0610.19510.21710.Z0410.24110.21610.27610.23610.335

251.0610.67410.69610.68310.71910.69610.75510.71510.814

261.1211.02811.04911.03711.07411.04911.11011.07011.170

271.1211.50911.53011.51811.55511.53011.59111.55111.651

281.1212.03312.05412.04212.07812.05412.11512.07512.175

291.1212.51512.53612.5241256012.53712.59712.55712.657

301.1213.03713.05813.04613.08213.05913.11913.07913.179

311.1213.52013.54113.52913.56513.54213.60213.56213.662

321.1214.04114.06214.05014.08614.06214.12214.08314.183

331.1214.52514.54514.53414-57014.54614.60614.56714.666

341.1215.04415.06515.05315.08915.06615.12615.08615.186

351.1215.5291554915.53815.57415.55015.61015.57115.670

361.1216.04716.06716.05616.09216.06916.12816.08916.189

371.1216.53216.55316.54116.57716.55416.61416.57516.674

381.1217.04917.07017.05817.09417.07117.13117.09217.191

391.1217.53517.55617.54417-58017.55717.61717.57817-578

4O1.1218.05118.07218.06118-09618.07418.13318.09418.194

411.1218.53818.55818.54718-58318.56018.62018.58118.681

421.1219.05319.07419.06319.09819.07619.13519.09719.196

431.1219.54019.56119.55019.58619.56319.62219.58419.683

441.1220.05520.07620.06420.10020.07820.13720.09920.198

451.1220.54320.56320.55220.58820.565‘20.62520.58620.686

461.1221.05721.07721.06621.10221.07921.13921.10021.200

471.1221.54521.56521.55421.59021.56821.62721.58921.689

481.1222.05822.07922.06822.10322.081Z2.14122.10222.202

4夕1.1222.5472么56722.55622.59222.57022.62922-59122.691

501.1223.06023.08023.06923.10523.08323.1422310423.204

511.1223.54923.56923.55823.59423.57223.63123.59323.693

521.1224.06124.08124.07024.10624.08424.14424.10524.206

531.1224.55024.57024.56024.59624.57324.63324.59524.695

541.1225.06225.08225.07225.10725.08525.1452510725.207

551.1225.55225.57225.56125.59725.57525.63525.59725.697

326

GB/T3478.7-1995

续表1

为检验E，和E-.的棒间距Ma

量棒

齿数

直径4H5H6H7H

Z

IJx;

mm】勺laxmm们,axmmmaxmmmax

561.1226.06326.08326.07326.10926.08726.14626.108多6.209

571.1226.55326.57326.56326.59926.57726.63626.59826.699

581.1227.06427.08427.07427.11027.08827.14727.11027.210

591.1227.55527.57527.56427.60027.57827.63827.60027.701

601.1228.06528.08528.07528.11128.08928.14928.11128.212

611.1228.55628.57628.56628.60128.58028.63928.60228.702

621.1229.06629.08629.07629.11229.09029.15029.11229.213

631.1229.55729.57729.56729.60329.58129.64129.60329.704

641.1230.06730.08730.07730.11330.09130.15130.11330.214

651.1230.55830.57830.56830.60430.58230.64230.60530.706

661.1231.06831.08831.07831.11331.09231.15231.11431.216

671.1231.55931.57931.56931.60531.58331.64331.60631.707

681.1232.06932.08932.07932.11432.09332.15332.11532.217

6g1.1232.56032.58032.57032.60632.58532.64432.60732.709

701.1832.90632.92632.91632.95232.93132.99132.95433.056

711.1833.39833.41833.40833.44433.42333.48333.44633.548

721.1833.90733.92733.91733.95333.93233.99233.95534.057

731.1834.39934.41934.41034.44534.42434.48434.44734.549

741.1834.90834.92834.91834.95434.93334.99334.95635.058

751.1835.40035.42035.41135.44635.42535.48535.44835.551

761.1835-90935-92935-91935.95535.93435.99435.95736.059

771.1836.40136.42136.41236.44736.42636.48736.45036.552

781.1836.90936.92936.92036.95636.93536.99536.95837.060

791.1837.40237.42237.41337.44837.42737.48837.45137.553

801.1837.91037.93037.92137.95637.93537.99637.95938.061

811.1838.40338.42338.41438.44938.42838.48938.45238.555

821.1838.91138.93138.92138.95738.93638.99738.96039.063

831.1839.40439.42439.41439-45039.42939-49039.45339.556

841.1839.91139.93139.92239.95839.93739.99739.96140.064

851.1840.40540.42440.41540.45140.43040.49140.45440.557

861.1840.91240.93240.92340.958、40.93840.99840.96241-065

871.1841.40541.42541.41641.45241.43141.49241.45541.558

881.1841.91341.93241.92341.95941.93941.99941.96242.066

891.1842.40642.42642.41742.45342.43242.49342.45642.559

901.1842.91342.93342.92442.96042.93943.00042.96343.067

911.1843.40743.42643.41843.45343.43343.49343.45743.560

921.1843.91443.93343.92543.96043.94044.00143.96444.067

g31.1844.40744.42744.41844.45444.43444.49444.45844.561

941.1844.91444.93444.92544.96144.94145.00144.96545.068

951.1845.40845.42845.41945.45545.43545.49545.45945.562

961.1845.91545.93445.92645.96145.94146.00245.96646.069

971.1846.40946.42846.42046.45546.43546.49646.46046.563

981.1846.91546.93546.92646.96246.94247.00346.96747.070

991.1847.40947.42947.42147.45647.43647.49747.46147.564

1001.1847.91647.93547.92747.96347.94348.00347-96748.071

327

GB/T3478.7-1995

表2棒间距M

37.5。内花键模数。=0.75作用齿槽宽最小值Evmm=1.178

为检验E-和E,.的‘棒间距Mx

量棒

齿数

直径4H5H6H7H

Z

刀矛

mmmaxnll且nlaxnu口t】la叉nllnmax

101.504.9074.9414.9184.9754.9355.0254.9625.103

111.505.6165.6475.6275.6785.6425.7245.6665.797

121.506.4616.4906.4716.5206.4866.5656.5096.636

131.507.1647.1917.1737.2207.1877.2637.2107.333

‘

141.507-9908.0177.9998.0458.0138.0878.0358.156

151.508.6938.7208.7038.748名7王68-7898.7388.吕57

161.509.5089.5349.5179.5619.5309.6029.5529.670

171.609.9149.9419.9249.9709.93810.0129.96010.083

181.6010.72310.74910-73210.77810.74610.82010.76910.890

I91.6011.43611.46211.44511.49011.45911.53211.48111.601

201.6012.23712.26312.24712.29112.260Y2.33312.28212.402

211.6012.95212.97812.96213.00612.97513.04712.99713.115

221.6013.74813.77413.75813.80113.77113.84313.79313.911

231.6014.46514.49014.47514.51814.48814.55914.51014.627

241.6015.25715.28215.26615.31015.28015.35115.30215.419

251.6015.97616.00115.98516.02815.99916-06916.02116.137

261.6016.76416.78916.77316.81616.78716.85716.80916.925

271.6017.48517.50917.49417.53717.50817.57817.53017.646

281.6018.27018.29418.27918.32218.29318.36318.31518.431

2g1.6018.99219.01619.00219.04419.01619.08519.03719.153

301.6019.77519.79919.78419.82719.79819.86819.82019.936

311.6020-49920.52320.50820.55020.52220.59120.54420.660

321.6021.27921.30321.28921.33121.30321.37221.325ZI.440

331.6022.00422.02822.01422.05622.02822.09722.05022.165

341.6022.78322.80722.79222.83422.80722.87622.82922.944

351.6023.50923.53323.51923.56123.53323.60223.55523.671

361.6024.28624.31024.29624.33824.31024.37924.33224.448

371.6025.01325.03725.02325.06525.03825.10625.06025.175

381.6025.78925.81325.79925.84025.81325.88225.83625.951

391.6026.51726.54126.52726.56926.54226.61026.56426.680

401.6027.29127.31527.30127.34327.31627.38527.33927.454

411.6028.02128.04428.03128.07228.04528.11428.06828.184

421.6028.79428.81728.80428.84528.81828.88728.84128.957

431.6029.52429.54829.53429.57629.54929.61829.57229.687

44