國標漸開線花鍵計算公式

根據國標編制,,,,,,,,

項目,,代號,單位,公式,數值（例題）,數值（例題）,數值（例題）,數值（例題）

,,π,,,3.141592654,3.141592654,3.141592654,3.141592654

模數,,m,,必須填寫,2.5,2,1.5,2.5

齒數,,Z,,必須填寫,30,30,32,30

壓力角,,αD,,必須填寫,30,30,30,30

花鍵配合長度,,g,,必須填寫,9,9,40,9

選用的配合形式,,,,必須填寫,H/h,H/h,H/h,H/h

內花鍵精度等級,,,,必須填寫,6,6,6,6

外花鍵精度等級,,,,必須填寫,6,6,6,6

外花鍵作用齒厚上偏差,,esv,,查表（必須填寫）,,,,

分度圓直徑,,D,,,75,60,48,75

基圓直徑,,Db,,,64.95190528,51.96152423,41.56921938,64.95190528

齒距,,P,,,7.853981634,6.283185307,4.71238898,7.853981634

齒形裕度,,CF,,0.1×m,0.25,0.2,0.15,0.25

內花鍵大徑基本尺寸,,,,,,,,

,30圓齒根,Dei,,,78.75,63,50.25,78.75

,30平齒根,Dei,,,79.5,63.6,50.7,79.5

,37.5圓齒根,Dei,,,78.5,62.8,50.1,78.5

,45圓齒根,Dei,,,78,62.4,49.8,78

內花鍵大徑下偏差,,,,,0,0,0,0

內花鍵大徑公差,,,,從IT12、IT13或IT14中選取,,,,

內花鍵漸開線終止圓最小值,,,,,,,,

,30平齒根和圓齒根,Dfimin,,,78,62.4,49.8,78

,37.5圓齒根,Dfimin,,,77.75,62.2,49.65,77.75

,45圓齒根,Dfimin,,,77.5,62,49.5,77.5

內花鍵小徑基本尺寸,,Dii,,,,,,

,30圓齒根和平齒根,Dii,,,72.68725649,58.14980519,46.60507532,72.68725649

,37.5圓齒根,Dii,,,72.90683669,58.32546936,46.73802321,72.90683669

,45圓齒根,Dii,,,73.12919523,58.50335619,46.87252409,73.12919523

內花鍵小徑極限偏差,,,,查表,,,,

,,,,,,,,,

基本齒槽寬,,E,,,3.926990817,3.141592654,2.35619449,3.926990817

總公差計算,,T+λ,,,,,,

,公差單位,id,,,1.972723497,1.821690439,1.683408534,1.972723497

,,ie,,,0.713884694,0.662207942,0.601157712,0.713884694

,公差等級為4級,T+λ,,,0.048282623,0.044705222,0.040880394,0.048282623

,公差等級為5級,T+λ,,,0.077252196,0.071528355,0.06540863,0.077252196

,公差等級為6級,T+λ,,,0.120706557,0.111763055,0.102200985,0.120706557

,公差等級為7級,T+λ,,,0.193130491,0.178820888,0.163521575,0.193130491

齒距積累公差,,,,,,,,

,分度圓周長的一半,L,,,117.8097245,94.24777961,75.39822369,117.8097245

,公差等級為4級,Fp,,,0.033435047,0.030570324,0.028008038,0.033435047

,公差等級為5級,Fp,,,0.047531767,0.04346386,0.039825413,0.047531767

,公差等級為6級,Fp,,,0.066770094,0.061040648,0.055916075,0.066770094

,公差等級為7級,Fp,,,0.095063534,0.08692772,0.079650827,0.095063534

齒形公差,,,,,,,,

,公差因數,ψf,,,3.4375,2.75,2.1,3.4375

,公差等級為4級,ff,,,0.0155,0.0144,0.01336,0.0155

,公差等級為5級,ff,,,0.02459375,0.022875,0.02125,0.02459375

,公差等級為6級,ff,,,0.03875,0.036,0.0334,0.03875

,公差等級為7級,ff,,,0.06165625,0.057325,0.05323,0.06165625

齒向公差,,,,,,,,

,公差等級為4級,Fβ,,,0.0064,0.0064,0.009059644,0.0064

,公差等級為5級,Fβ,,,0.008,0.008,0.011324555,0.008

,公差等級為6級,Fβ,,,0.01005,0.01005,0.014205694,0.01005

,公差等級為7級,Fβ,,,0.016,0.016,0.022649111,0.016

綜合公差,,λ,,,,,,

,公差等級為4級,,,,0.022442826,0.02063568,0.019396033,0.022442826

,公差等級為5級,,,,0.032467271,0.0298579,0.027923355,0.032467271

,公差等級為6級,,,,0.046710724,0.042944927,0.039997861,0.046710724

,公差等級為7級,,,,0.068658901,0.063209891,0.059064718,0.068658901

實際齒槽寬最大值,,Emax,,,,,,

,公差等級為4級,,,,3.97527344,3.186297876,2.397074884,3.97527344

,公差等級為5級,,,,4.004243013,3.213121009,2.42160312,4.004243013

,公差等級為6級,,,,4.047697374,3.253355709,2.458395475,4.047697374

,公差等級為7級,,,,4.120121308,3.320413542,2.519716065,4.120121308

實際齒槽寬最小值,,Emin,,,,,,

,公差等級為4級,,,,3.949433643,3.162228334,2.375590523,3.949433643

,公差等級為5級,,,,3.959458088,3.171450554,2.384117846,3.959458088

,公差等級為6級,,,,3.973701541,3.18453758,2.396192352,3.973701541

,公差等級為7級,,,,3.995649718,3.204802544,2.415259209,3.995649718

作用齒槽寬最大值,,Evmax,,,,,,

,公差等級為4級,,,,3.952830613,3.165662196,2.377678851,3.952830613

,公差等級為5級,,,,3.971775742,3.183263109,2.393679765,3.971775742

,公差等級為6級,,,,4.000986649,3.210410782,2.418397613,4.000986649

,公差等級為7級,,,,4.051462407,3.257203651,2.460651347,4.051462407

作用齒槽寬最小值,,Evmin,,,3.926990817,3.141592654,2.35619449,3.926990817

外花鍵大徑基本尺寸,,,,,,,,

,30圓齒根和平齒根,Dee,,,77.5,62,49.5,77.5

,37.5圓齒根,Dee,,,77.25,61.8,49.35,77.25

,45圓齒根,Dee,,,77,61.6,49.2,77

外花鍵大徑上偏差,,,,,0,0,0,0

外花鍵大徑公差,,,,查表,,,,

,hs,,,,,,,

,30圓齒根和平齒根,,,,1.5,1.2,0.9,1.5

,37.5圓齒根,,,,1.375,1.1,0.825,1.375

,45圓齒根,,,,1.25,1,0.75,1.25

外花鍵漸開線起始圓直徑最大值,,Dfemax,,,,,,

,30圓齒根和平齒根,,,,72.18725649,57.74980519,46.30507532,72.18725649

,37.5圓齒根,,,,72.40683669,57.92546936,46.43802321,72.40683669

,45圓齒根,,,,72.62919523,58.10335619,46.57252409,72.62919523

外花鍵小徑基本尺寸,,,,,,,,

,30圓齒根,Die,,,71.25,57,45.75,71.25

,30平齒根,Die,,,70.5,56.4,45.3,70.5

,37.5圓齒根,Die,,,71.5,57.2,45.9,71.5

,45圓齒根,Die,,,72,57.6,46.2,72

外花鍵小徑上偏差,,,,,0,0,0,0

外花鍵小徑公差,,,,從IT12、IT13或IT14中選取,,,,

基本齒厚,,S,,,3.926990817,3.141592654,2.35619449,3.926990817

作用齒厚最大值,,Svmax,,,3.926990817,3.141592654,2.35619449,3.926990817

作用齒厚最小值,,Svmin,,,,,,

,公差等級為4級,,,,3.901151021,3.117523112,2.334710129,3.901151021

,公差等級為5級,,,,3.882205892,3.099922198,2.318709216,3.882205892

,公差等級為6級,,,,3.852994985,3.072774525,2.293991367,3.852994985

,公差等級為7級,,,,3.802519227,3.025981656,2.251737633,3.802519227

實際齒厚最大值,,Smax,,,,,,

,公差等級為4級,,,,3.904547991,3.120956973,2.336798457,3.904547991

,公差等級為5級,,,,3.894523546,3.111734754,2.328271135,3.894523546

,公差等級為6級,,,,3.880280093,3.098647727,2.316196629,3.880280093

,公差等級為7級,,,,3.858331916,3.078382763,2.297129772,3.858331916

實際齒厚最小值,,Smin,,,,,,

,公差等級為4級,,,,3.878708194,3.096887432,2.315314096,3.878708194

,公差等級為5級,,,,3.849738621,3.070064298,2.29078586,3.849738621

,公差等級為6級,,,,3.80628426,3.029829598,2.253993506,3.80628426

,公差等級為7級,,,,3.733860326,2.962771765,2.192672915,3.733860326

,,,,,,,,,

,內花鍵測量,,,,,,,

,外花鍵大徑最大植,Deemax,,,77.5,62,49.5,77.5

,內花鍵小徑最小值,Diimin,,,72.68725649,58.14980519,46.60507532,72.68725649

,實際齒槽寬最大值,Emax,,,4.120121308,3.320413542,2.519716065,4.120121308

,內花鍵與量棒接觸點處直徑,Dci,,,75.09362825,60.0749026,48.05253766,75.09362825

,內花鍵與量棒接觸點處的壓力角,αci,,,0.525754309,0.525754309,0.525489398,0.525754309

,量棒直徑,D'Ri,,,4.567501467,3.680529758,2.799064663,4.567501467

,最終選定的量棒直徑,,,,4.75,5.75,6.75,7.75

,內花鍵量棒中心圓上的壓力角,,,,#NAME?,#NAME?,#NAME?,#NAME?

,棒間距,M,,,#NAME?,#NAME?,#NAME?,#NAME?

,Emax,,,,4.047697374,3.253355709,2.458395475,4.047697374

,當E為Emax時，內花鍵量棒中心圓上的壓力角,,,,#NAME?,#NAME?,#NAME?,#NAME?

,上偏差,Mrimax,,,#NAME?,#NAME?,#NAME?,#NAME?

,Emin,,,,3.973701541,3.18453758,2.396192352,3.973701541

,當E為Emin時，內花鍵量棒中心圓上的壓力角,,,,#NAME?,#NAME?,#NAME?,#NAME?

,下偏差,Mrimin,,,#NAME?,#NAME?,#NAME?,#NAME?

,,,,,,,,,

,外花鍵測量,,,,,,,

,外花鍵大徑最大植,Deemax,,,77.5,62,49.5,77.5

,內花鍵小徑最小值,Diimin,,,72.68725649,58.14980519,46.60507532,72.68725649

,實際齒厚最小值,Smin,,,3.733860326,2.962771765,2.192672915,3.733860326

,外花鍵與量棒接觸點處直徑,Dce,,,75.09362825,60.0749026,48.05253766,75.09362825

,內花鍵與量棒接觸點處的壓力角,αce,,,0.525754309,0.525754309,0.525489398,0.525754309

,量棒直徑,D'Re,,,4.998672202,4.029099657,3.047811332,4.998672202

,最終選定的量棒直徑,,,,5,6,7,8

,內花鍵量棒中心圓上的壓力角,,,,#NAME?,#NAME?,#NAME?,#NAME?

,棒間距,M,,,#NAME?,#NAME?,#NAME?,#NAME?

,Smax,,,,3.880280093,3.098647727,2.316196629,3.880280093

,當E為Emax時，內花鍵量棒中心圓上的壓力角,,,,#NAME?,#NAME?,#NAME?,#NAME?

,上偏差,Mremax,,,#NAME?,#NAME?,#NAME?,#NAME?

,Emin,,,,3.80628426,3.029829598,2.253993506,3.80628426

,當E為Emin時，內花鍵量棒中心圓上的壓力角,,,,#NAME?,#NAME?,#NAME?,#NAME?

,下偏差,Mremin,,,#NAME?,#NAME?,#NAME?,#NAME?

,跨齒數,K,,,5,5,5,5

,總公差,T+λ,,,0.120706557,0.111763055,0.102200985,0.120706557

,加工公差,T,,,0.073995832,0.068818128,0.062203123,0.073995832

,作用齒厚上偏差,esv,,,0,0,0,0

,公法線長度,W,,,34.09912619,27.27930095,20.59912619,34.09912619

,上偏差,Wmax,,,-0.040452674,-0.037191398,-0.034639164,-0.040452674

,下偏差,Wmin,,,-0.104534945,-0.096789645,-0.088508649,-0.104534945

花鍵強度計算,,,,,,,,

輸入扭矩(Nmm),,T,,必須填寫,750000,1300000,1300000,1300000

傳動比,,,,必須填寫,1,10.111,10.111,10.111

花鍵傳遞的扭矩,,,,,750000,13144300,13144300,13144300

負荷不均勻分配系數,,K,,,0.75,0.75,0.75,0.75

工作齒高,,,,,,,,

,30圓齒根和平齒根,,,,2.406371753,1.925097403,1.447462342,2.406371753

,37.5圓齒根,,,,2.171581653,1.737265322,1.305988393,2.171581653

,45圓齒根,,,,1.935402384,1.548321907,1.163737956,1.935402384

花鍵平均直徑,,,,,,,,

,30圓齒根和平齒根,,,,75.09362825,60.0749026,48.05253766,75.09362825

,37.5圓齒根,,,,75.07841835,60.06273468,48.04401161,75.07841835

,45圓齒根,,,,75.06459762,60.05167809,48.03626204,75.06459762

擠壓應力,,,,,,,,