GB/T 3478.8-1995 圆柱直齿渐开线花键 45°压力角 M值和W值

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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

国家技刁隆监督局发布

中华人民共和国国家标准

圆柱直齿渐开线花键

GB/T3478.8一1995

450压力角M值和W值

Straightcylindricalinvolutesplines

450pressureangle-Mandwvalues

1主题内容与适用范围

本标准规定了压力角为45。的圆柱直齿渐开线花键的M值(棒间距MR、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《圆柱直齿渐开线花键模数基本齿廓公差》设计制造的压力

角为45。的渐开线花键。

2弓{用标准

GB321优先数和优先数系

GB/T3478.1圆柱直齿渐开线花键模数基本齿廓公差

GB/T3478.4圆柱直齿渐开线花键45。压力角尺寸表

3量捧测量尺寸的计算公式

注:允许用相应的钢球代替量棒。

3.1内花键齿形为渐开线时量棒测量尺寸的计算公式

3.1.1量棒直径D。的确定(见图1)

图1

国家技术监督局1995一07一12批准1996一05一01实施

GB/T3478.8一1995

__尸E-

L),o;=U.,Itana,一tan(a,.一六厅二

_一_一，少+inva,，一inv450)](1)

式中D二‘量棒的计算直径;

几内花键与量棒接触点上的压力角，以弧度表示，a,;=COs

几—内花键与量棒接触点处直径;

Dma、+刀、。

D

D..m..—外花键大径最大值;

D;;.,.—内花键小径最小值;

E...-实际齿槽宽最大值，按公差等级为7级取值;

tnv马=tan久一几;

inv450=0.2146018,

量棒直径D二按GB321中的R40选取，若D'Ri不为R40系列数值时，应选取最接近D'二较大的

值。

3.1.2棒间距A的计算(见图2)

图2

Dn

偶数齿一Dk,……(2)

cosa;_

Dry

一D.，二(3)

Cosa;

D，Cos90,

奇数齿cosa,...Z一D二(4)

刀，Ocs90,

coS江血InZ一D二(5)

式中:MRm;..—内花键棒间距的最大值;

GB/T3478.8一1995

M..,.—内花键棒间距的最小值;

久，。—当E为Em时，内花键量棒中心圆上的压力角

E-，__D.:

}nva;m=-十mv45一，于

」少」，‘

:min—当E为Em,时，内花键量棒中心圆上的压力角

E-_D:

nvam;,.=-+mv45一下一

上声王J占

Dk;—内花键用量棒直径。

内花键齿形为直线时量棒尺寸的计算公式

:.:.

量棒直径D*的确定(见图3)

图3

D，二一。[sin450-cos450t·an(45。一赞):(6)

3.2.2棒间距Mw的计算(见图4)

GB/T3478.8一1995

图

D0一尸+氏

sin{2

风

偶数齿:Mx.，二=一Dw..’……(7)

sin2一

E_:、_

Dsinl目任拼)一D,.

D]

八甄”nI一Dma;‘.··，，·…(8)

s*i·nn-F2,

D·

sin鲁+粤)一D}90

奇数齿:M=.亡05甘一D、...…‘“…(9)

sin/

。__{风.Em.l。

“.-y77寸-I一uR;

M.-.=、‘J夕i.C0S90一，(10)

sin'Z一D、

式中:a,一齿槽角，Q,=90071800

3.3外花键量棒测量尺寸的计算公式

3.3.1量棒直径D*的确定(见图5)

414

GB/'r3478.8一1995

图5

Sm

D'}=D,[tan(a+inva_+晋-inv450)一tans]······……(11)

式中几

-几

外花键与量棒接触点上的压力角，以弧度表示a=cos-'

D'外花键与量棒接触点处的直径;

D,一DD-+,,..:;2

Smi—实际齿厚最小值，表中按公差等级为7级和基本偏差为h计算

my氏，=tans一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'*较大的值。

332跨棒距M.，的计算(见图6)

Gs/T3478.8一1995

(

︵叹

匆彭

翻犯

翼气

︶

若‘芝.

lnv,

0

f-IS'

图6

D,

偶数齿十D儿……(12)

coSa-

D,

MI.。二+DR,(13)

cosa_

奇数齿D,Ocs+D、···。二(14)

coSa-970,

ocs

M-二二-Dy.甘+D}，，。…(15)

_oc.s

式中:M}-—外花键跨棒距的最小值;

M-.二—外花键跨棒距的最大值;

a-t.—当S为Sm。时，外花键量棒中心圆上的压力角;

mva,m;一De`+inv4S'+D0一Z'

a,-.—当S为S。时，外花键量棒中心圆上的压力角

2’

、一二一D,+inv450+D}

D.—外花键用量棒直径。

4外花键公法线平均长度W的计算(见图7)

W.,。二cos45汇(K一。，5)wm+D·inv450+。:。一(T+x)]

W...=W.I.+T·cos450=Wm}}+0.707·T…(:::

式中:W二。—公法线平均长度最小值;

W...—公法线平均长度最大值;

K—跨齿数,K二。.25Z+0.5(取整数);

(T十d)—总公差;

BGr/'3478.8一1995

7'—加工公差;

esv—作用齿厚上偏差。

图7

5量棒测里尺寸

5门内花键齿形为渐开线的量棒测量尺寸如下:

模数为。.5至2.5mm、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

直径D.,棒间距的最大值M.~和最小值M.,.i.，见表1至表9,

5.2内花键齿形为直线的测量用量棒直径D.,棒间距的最大值M..“和最小值M.-，见表10至表

18.

5.3外花键的量棒测量尺寸如下:

5.3.1模数为。.5至2.5mm、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-.二，见表19至表27,

5.3.2当外花键的基本偏差不为h时，其跨棒距尺寸应按3.3.2所列公式进行计算，也可按下式算出

差值△Mx.后，对表中的跨棒距数值进行修正。

AMk,=K,·esv··，·············……(18)

式中:K—外花键变换系数;

5.4表1至表27所列的量棒直径D二和D*是按3.1.1,3.2.1和3.3.1条确定。必要时，需在量棒上制

出一个平面，以避免同花键底部接触

5.5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Maim..和最小值

MR二二、外花键跨棒距的最小值Ma.丁。和最大值M，二。二，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.，模数。.5至2.5mm、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28至表36.

6.2当外花键齿厚的基本偏差不为h时，其公法线平均长度可按下式修正。

△W=“，·cos450=0.707·“，(19)

Ga/T3478.8一1995

表1棒间距Mx,

45。内花键模数，=0.25作用齿槽宽最小值Evmm=O.393

量棒为检验E,。和E‘的棒间距Ma,

齿数

直径}}6H7H

Z

刀.一maxnllnmax}一minmax}一max

min}

100.601.3761.3911.3831.4081-3931.4341.4101.474

110.601.6171.6311.6241.6471.6331.6701.6491.708

120.601.9001.9131.9061.9281-9151.9511.9301.988

130.602.1372.1492.1432.1642.1522.1862.1662.222

，

140.602.4122.4252.4182.4392-4272.4612.4412.497

150.602.6492.6612.6542.6752.6632.6972.6772.732

160.602.9202.9322.9262.9462.9342，，682.9483.003

170.603.1573.1693.1633.1833.1713.2043.1843.239

180.633.3463.3583.3523.3723.3603.3943.3743.430

190.633.5843.5963.5903.6103.5983.6323.6123.667

200.633.8513.8633.8573.8773.8653.8993.8793.934

210.634.0904.1024.0964.1164.1044.1374.1174.172

22`0.634.3554.3674.3614.3814.3694.4024.3824.437

230.634.5944.6064.6004.6204.6084.6414.6224.677

240.634.8584.8704.8644.8844.8724.9054.8854.940

250.635.0985.1105.1045.1245.1125.1455.1255.180

260.635.3615.3725.3665.3865.3755.4085.3885.443

270.635.6015.6135.6075.6275.6155.6485.6285.683

280.635.8635.8745.8685.8885.8775.9105.8905.945

290.676.0026.0136.0086.0286.0166.0506.0306.085

300.676.2636.2746.2696.2896.2776.3116.2906.346

310.676.5056.5166.5106.5316.5196.5526.5326.588

320.676.7656.7766.7716.7916.7796.8136.7926.849

330.677.0077.0187.0137.0337.0217.0557.0357.091

340.677.2667.2787.2727.2937.2817.3147.2947.350

350.677.5097.5207.5157.5357.5237.5577.5377.593

360.677.7687.7797.7747.7947.7827.8167.7967.852

370.678.0118.0228.0178.0378.0258.0598.0398.095

380.678.2698.2818.2758.2958.2848.3178.2978.354

390.678.5128.5248.5I吕8.5398.5Z78-5609.5408.597

400.678.7708.7828.7768.7978.7858.8198.7998.855

410.679.0149.0259.0209.0409.0289.0629.0429.099

420679.2719.2839.2779.2989.2869.3209.3009.356

430.679.5159.5279.5219.5419.5309.5649.5439.600

440.679.7729.7849.7789.7999.7879.8219.8019.858

450.6710.01610.02810.02210.04310.03110.06510.04510.102

460.6710.27310.28510.27910.30010.28810.32210.30210.359

470.6710.51710.52910.52310.54410.53210.56610.54610.603

4806710.77410-78610.78010.80110.78910.82310.80310.860

490.6711.01811.03011.02511.04511.03311.06711.04711.104

500.6711.27511.28611.28111.30111.29011.32411.30411.361

510.6711.51911.53111.52511.54611-53411.56811.54811.606

520.6711.77511.78711.78211.80211-79011.82511.80411.862

530.6712.02012.03212.02612.04712.03512.06912.04912.107

540.6712.27612.28812.28212.30312.29112.32512.30512.363

550.6712.52112-53312.52712.54812.53612.57012.55012.608

418

GB/T3478.8一1995

续表1

量棒为检验E。二和E，的棒间距Mx,

齿数

直径4H}H}}7H

Z

DammI}mn‘}maxmm一}maxmin一}max

560.6712.77712.78812.78312.80312.79212.82612.80612.864

570.6713.02213.03313.02813.04913.03713.07113.05113.109

580.6713.27713.28913.28413.30413.29213.32713.30713.365

590.6713.52313.53413.52913.54913.53813.57213.55213.610

600.6713.77813.78913.78413.80513.79313.82713.80713.865

610.6714.02314.03514.02914.05014.03814.07314.05314.111

620.6714.27814.29014.28514.30514.29414.32814.30814.366

630.6714.52414.53514.53014.55114.53914.57414.55314.612

640.6714.77914.79014.78514.80614.79414.82914.80914.867

650.6715.02415.03615.03115.05115.04015.07415.05415.113

660.6715.y7915.29115.28615.30615.29515.32915.30915.368

670.6715.52515.53715.53115.55215.54015.57515.55515.614

680.7115.68115.69315.68715.70815.69615.73115.71115.770

690.7115.92715.93815.93315.95415.94215.97715.95716.016

700.7116.18116.19316.18816.20916.19716.23216.21216.271

710.7116.42716.43916.43416.45516.44316.47816.45816.517

720.7116.68216.69316.68816.70916.69716.73216.71216.771

730.7116.92816.94016.93416.95516.94416.97916.95817.018

740.7117.18217.19417.18917.21017.19817.23317.21317.272

750.7117.42817.44017.43517.45617.44417.47917.45917.519

760.7117.68317.69417.68917.71017.69817.73417.71317.773

770.7117.92917.94117.93617.95617.94517.98017.96018.019

780.7118.18318.19518.19018.21018.19918.23418.21418.273

790.7118.42918.44118.43618.45718.44518.48118.46018.520

800.7118.68318.69518.69018.71118.69918.73518.71418.774

810.7118.93018.94118.93618.95718.94618.98118.96119.021

820.7119.18419.19519.19019.21119.20019.23519.21519.275

830.7119.43019.44219.43719.45819.44619.48219.46119.521

840.7119.68419.69619.69119.71219.70019.73619.71519.775

850.7119.93119.94219.93719.95819.94719.98219.96220.022

860.7120.18420.19620.19120.21220.20120.23620.21620.276

870.7120.43120.44320.43820.45920.44720.48320.46320.523

880.7120.68520.69620.69120.71220.70120.73620.71620.776

890.7120.93120.94320.93820.95920.94820.98320.96321.023

900.7121.18521.19721.19221.21321.20121.23721.21721.277

/

910.7121.43221.44321.43921.46021.44821.48421.46421.524

920.7121.68521.69721.69221.71321.70221.73721.71721.778

930.7121.93221.94421.93921.96021.94921.98421.96422.025

940.7122.18622.19722.19222.21322.20222.23822.21822.278

950.7122.43322.44422.43922.46022.44922.48522.46522.525

960.7122.68622.69722.69322.71422.70222.73822.71822.779

970.7122.93322.94422.94022.96122.950、22.98522.96523.026

980.7123.18623.19823.19323.21423.20323.23823.21823.279

990.7123.43323.44523.44023.46123.45023.48623.46523.526

1000.7123.68623.69823.69323.71423.70323.73923.71923.780

419

cB/T3478.8一1995

表2棒间距几‘

450内花键模数。=0.5作用齿槽宽最小值Evmi.=0.785

量棒为检验E。和E_的棒间距Ma

齿数

直径4H}{5H一}6H}{

Z

D.}}max口.Inmax}}min笼naXmmnlaX

101.122.9863.0042.9933.0243.0033.0543.0203.102

111.123.4563.4733.4623.4923.4723.5203.4883.566

121.124.0154.0324.0214.0504.0314.0784.0464.123

131.124.4834.4994.4894.5184.4984.5444.5134.589

141.125.0315.0485.0385.0665.0475.0925.0625.137

151.125.5015.5175.5075.5355.5165.5615.5315.605

161.126.0426。0586.0486.0766.0576.1026.0726.146

171.186.3566.3726.3636.3906.37Z6.4176.3876.461

181.186.8936.9096.8996.9276.9096.9546.9236.998

191.187.3687.3847.3747.4027.3837.4287.3987.472

201.187.9017.9177-9077.9347.9167.9617.9318.005

211.188.3778.393，8.3838.4108.3928.4378.4078.481

221.188.9068.9228.9138.9408.9228.9668.9379.011

231.189.3849.4009.3919.4189.4009.4449.4149.488

241.189.9119.9279.9179.9449.9279.9719.94110.015

251.1810.39010.40610.39710.42310.40610.45010.42110.494

261.1810.91510.93010.92110.94810