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CALC ENGRENAGEM
Esta é uma pré-visualização de arquivo. Entre para ver o arquivo original
CALCENGR PLANILHA DE CÁLCULO DE ENGRENAGEM Nº DA PEÇA Z45 M2.5/20° DATA 18/4/18 18:21 SISTEMA DIAMETRAL PITCH Dimensões em mm, exceto DIAMETRAL PITCH NÚM. DENTES DIAM. PITCH ANG. PRES. ANG. HELICE BACK-LASH (jn) CORREÇÃO x DIAM. PINO-REAL EVOLVENTE EVOLVENTE Kdentes Zvirtual at a 5.50 45 10.16 20 0.11 -0.4605 4.500 RETA 0.01490 6.00 45.00 MÓD 2.5 (EQUIV.) DIREITA PINO-Sugestão Diâmetro primitivo - dp 112.500 4.320 Diametral Pich-Transversal ------- Ângulo de Hélice - Básico ------- Avaliaç. da correção x Ângulo Pressão-Transversal ------- W medido 41.38 Diâmetro de Base 105.7154 W k= 6 Passo Circular - Normal (PI/P) 7.85 x= -0.4605 Passo Circular Transversal ------- Passo da Base 7.38 Passo da Base-Transversal ------- Espessura Circular-No primitivo 3.0889 Espessura Circular-Transv. ------- Cálc. - âng. no centro do pino ângulo em graus Back Lash efetivo 0.12 valor Altura total do dente 5.63 acima 0.015137 20.100000 20.06 Addendum 3.65 0.015116 x 20.06 Deddendum 1.97 abaixo 0.015098 20.083333 20.05 Evolvente do Ângulo Pressão 0.014904 ângulo x= 20.090877 Evolvente no centro do pino 0.015116 NOTA: Ângulo extraido da tabela de evolvente Ângulo no centro do pino 20.09 Dimensão no Centro do Pino 112.57 Dimensão Sobre Dois Pinos 116.997 Dimensão Sobre Três Pinos 116.928 Diâmetro da Raiz (teórico) 103.95 (assumido) 103.90 Diâmetro Externo (teórico) 115.20 (assumido) 115.70 Medida sobre W 6 41.380 7 48.760 5 34.000 Fator de correção <x.m> -1.1513 Diâmetro primitivo deslocado 110.1975 Passo da Hélice (Ph) -------- PLANILHA DE CÁLCULO DE ENGRENAGEM Nº DA PEÇA Z59 M2.5/20° DATA 18/4/18 18:21 SISTEMA MÓDULO Dimensões em mm NÚM. DENTES MÓDULO ANG. PRES. ANG. HELICE BACK-LASH (jn) CORREÇÃO x DIAM. PINO-REAL EVOLVENTE EVOLVENTE Kdentes Zvirtual at a 7.53 53 5 20 20 0.17 4.500 0.01779 0.01490 8.00 63.27 DP 5.08 (EQUIV.) 0.8333333333333334 ESQUERDA PINO sugestão Diâmetro primitivo - dp 282.007 8.640 Módulo Transversal 5.32 Ângulo de Hélice - Básico 18.747237251 0.781134885459896 Avaliaç. da correção x Ângulo Pressão-Transversal 21.17 W medido 67.885 Diâmetro de Base 262.9703 W k= 6 Passo Circular - Normal (PI/P) 15.71 x= -5.1838 Passo Circular Transversal 16.72 Passo da Base 14.76 Passo da Base-Transversal 15.59 Espessura Circular-No primitivo 7.8540 Espessura Circular-Transv. 8.36 Cálc. - âng. no centro do pino ângulo Back Lash efetivo 0.19 valor Altura total do dente 11.25 acima 0.006234 15.066667 15.04 Addendum 5.00 0.006227 x 15.04 Deddendum 6.25 abaixo 0.006213 15.050000 15.03 Evolvente do Ângulo Pressão 0.017793 ângulo x= 15.061092 Evolvente no centro do pino 0.006227 NOTA: Ângulo extraido da tabela de evolvente Ângulo no centro do pino 15.06 Dimensão no Centro do Pino 272.32 Dimensão Sobre Dois Pinos 276.705 Dimensão Sobre Três Pinos 276.586 Diâmetro da Raiz (teórico) 269.51 (assumido) 141.30 Diâmetro Externo (teórico) 292.01 (assumido) 153.00 Medida sobre W 8 115.136 9 129.896 7 100.375 Fator de correção <x.m> 0.0000 Diâmetro primitivo deslocado 282.0071097061 Passo da Hélice (Ph) 2434.1316423828 RPM DE ENTRADA 0 Z DA COROA INTERNA 633.552 RPM DE SAÍDA 0 CALCEVOLV FATOR DE ALTER. DO ANG a 2.5 RAIO DE BASE (Rb) 52.8577099192 ANG DE INCL(b)+INCID(a) Ú (g) 43.965 40.119 36.501 33.080 29.826 26.717 23.733 20.854 18.065 15.352 12.702 10.103 7.543 5.013 2.502 ANG DE INCIDÊNCIA (a) 37.5 35 32.5 30 27.5 25 22.5 20 17.5 15 12.5 10 7.5 5 2.5 CARTESIANO X 66.2020532861 64.2699901926 62.520030232 60.9466757145 59.5417174498 58.29583014 57.1995323322 56.2437524096 55.4201508942 54.7212932318 54.1407324064 53.6730389182 53.3138019076 53.0596164741 52.9080666549 CARTESIANO Y 7.501 5.757 4.373 3.279 2.419 1.748 1.231 0.838 0.547 0.337 0.191 0.096 0.040 0.012 0.001 ANG DE INCLINAÇÃO (b) 6.465 5.119 4.001 3.080 2.326 1.717 1.233 0.854 0.565 0.352 0.202 0.103 0.043 0.013 0.002 RETA r (Rp) 66.6256852209 64.5273490895 62.6728077237 61.0348261012 59.5908279156 58.3220299718 57.2127729419 56.25 55.4228483385 54.7223280304 54.1410694438 53.6731252953 53.3138170145 53.059617784 52.9080666752 x = Rb * (COS(g) + RADIANOS(g) * SEN(g)) y = Rb * (SEN(g) - RADIANOS(g) * COS(g)) (b) = TAN(a) - RADIANOS(a) Rp = Rb / COS(a) P/ RETA r (Rp) 57.850 P/ RETA r (Rp) 56.250 P/ RETA r (Rp) 51.950 ANG DE INCIDÊNCIA (a) 23.978 ANG DE INCIDÊNCIA (a) 20.000 ANG DE INCIDÊNCIA (a) 0.000 ANG DE INCLINAÇÃO (b) 1.505 ANG DE INCLINAÇÃO (b) 0.854 ANG DE INCLINAÇÃO (b) 0.000 COS(a) = Rb / Rp ESP CIRC DO DENTE NO PRIM 3.0889493526 ESP CORD DO DENTE NO PRIM 3.0888523213 ESP CORD DO DENTE NO EXT FATOR DE ALTER. DO ANG a 2.5 RAIO DE BASE (Rb) 131.4851334491 ANG DE INCL(b)+INCID(a) Ú (g) 48.077 43.965 40.119 36.501 33.080 29.826 26.717 23.733 20.854 18.065 15.352 12.702 10.103 7.543 5.013 ANG DE INCIDÊNCIA (a) 40 37.5 35 32.5 30 27.5 25 22.5 20 17.5 15 12.5 10 7.5 5 CARTESIANO X 169.9390461612 164.679586464 159.8735217656 155.5204440536 151.6066776606 148.1118019802 145.0126200549 142.2855464873 139.9080153598 137.859281971 136.1208526454 134.6766902381 133.513288706 132.6196759038 131.9873820399 CARTESIANO Y 24.116 18.660 14.322 10.879 8.157 6.017 4.348 3.062 2.085 1.360 0.837 0.475 0.240 0.100 0.029 ANG DE INCLINAÇÃO (b) 8.077 6.465 5.119 4.001 3.080 2.326 1.717 1.233 0.854 0.565 0.352 0.202 0.103 0.043 0.013 RETA r (Rp) 171.6416516433 165.7333835651 160.5137097146 155.900482631 151.8259543825 148.2339657318 145.0777929196 142.3184828997 139.9235564276 137.8659919444 136.1234267379 134.6775286288 133.5135035716 132.6197134825 131.9873852982 x = Rb * (COS(g) + RADIANOS(g) * SEN(g)) y = Rb * (SEN(g) - RADIANOS(g) * COS(g)) (b) = TAN(a) - RADIANOS(a) Rp = Rb / COS(a) P/ RETA r (Rp) 76.500 P/ RETA r (Rp) 141.004 P/ RETA r (Rp) 70.650 ANG DE INCIDÊNCIA (a) 0.000 ANG DE INCIDÊNCIA (a) 21.173 ANG DE INCIDÊNCIA (a) 0.000 ANG DE INCLINAÇÃO (b) 0.000 ANG DE INCLINAÇÃO (b) 1.019 ANG DE INCLINAÇÃO (b) 0.000 COS(a) = Rb / Rp ESP CIRC DO DENTE NO PRIM 8.3580326803 ESP CORD DO DENTE NO PRIM 8.3577267827 ESP CORD DO DENTE NO EXT TABELA EVOLVENTE 0.000000000000 0.00 0.000000000000 0.00 0.000000000008 0.000000000008 0.01 0.000000000008 0.01 0.000000000058 0.000000000066 0.02 0.000000000066 0.02 0.000000000056 0.000000000122 0.03 0.000000000122 0.03 0.000000000403 0.000000000525 0.04 0.000000000525 0.04 0.000000000501 0.000000001026 0.05 0.000000001026 0.05 0.000000000746 0.000000001772 0.06 0.000000001772 0.06 0.000000001042 0.000000002814 0.07 0.000000002814 0.07 0.000000001387 0.000000004201 0.08 0.000000004201 0.08 0.000000001780 0.000000005981 0.09 0.000000005981 0.09 0.000000002224 0.000000008205 0.10 0.000000008205 0.10 0.000000002715 0.000000010920 0.11 0.000000010920 0.11 0.000000003258 0.000000014178 0.12 0.000000014178 0.12 0.000000003848 0.000000018026 0.13 0.000000018026 0.13 0.000000004488 0.000000022514 0.14 0.000000022514 0.14 0.000000005177 0.000000027691 0.15 0.000000027691 0.15 0.000000005915 0.000000033606 0.16 0.000000033606 0.16 0.000000006704 0.000000040310 0.17 0.000000040310 0.17 0.000000007540 0.000000047850 0.18 0.000000047850 0.18 0.000000008426 0.000000056276 0.19 0.000000056276 0.19 0.000000009362 0.000000065638 0.20 0.000000065638 0.20 0.000000010346 0.000000075984 0.21 0.000000075984 0.21 0.000000011380 0.000000087364 0.22 0.000000087364 0.22 0.000000012463 0.000000099827 0.23 0.000000099827 0.23 0.000000013596 0.000000113423 0.24 0.000000113423 0.24 0.000000014776 0.000000128199 0.25 0.000000128199 0.25 0.000000016008 0.000000144207 0.26 0.000000144207 0.26 0.000000017288 0.000000161495 0.27 0.000000161495 0.27 0.000000018717 0.000000180212 0.28 0.000000180212 0.28 0.000000019896 0.000000200108 0.29 0.000000200108 0.29 0.000000021423 0.000000221531 0.30 0.000000221531 0.30 0.000000022900 0.000000244431 0.31 0.000000244431 0.31 0.000000024426 0.000000268857 0.32 0.000000268857 0.32 0.000000026002 0.000000294859 0.33 0.000000294859 0.33 0.000000027627 0.000000322486 0.34 0.000000322486 0.34 0.000000029301 0.000000351787 0.35 0.000000351787 0.35 0.000000031023 0.000000382810 0.36 0.000000382810 0.36 0.000000032797 0.000000415607 0.37 0.000000415607 0.37 0.000000034617 0.000000450224 0.38 0.000000450224 0.38 0.000000036489 0.000000486713 0.39 0.000000486713 0.39 0.000000038409 0.000000525122 0.40 0.000000525122 0.40 0.000000040379 0.000000565501 0.41 0.000000565501 0.41 0.000000042397 0.000000607898 0.42 0.000000607898 0.42 0.000000044465 0.000000652363 0.43 0.000000652363 0.43 0.000000046583 0.000000698946 0.44 0.000000698946 0.44 0.000000048749 0.000000747695 0.45 0.000000747695 0.45 0.000000050965 0.000000798660 0.46 0.000000798660 0.46 0.000000053229 0.000000851889 0.47 0.000000851889 0.47 0.000000055544 0.000000907433 0.48 0.000000907433 0.48 0.000000057908 0.000000965341 0.49 0.000000965341 0.49 0.000000060320 0.000001025661 0.50 0.000001025661 0.50 0.000000062782 0.000001088443 0.51 0.000001088443 0.51 0.000000065294 0.000001153737 0.52 0.000001153737 0.52 0.000000067854 0.000001221591 0.53 0.000001221591 0.53 0.000000070465 0.000001292056 0.54 0.000001292056 0.54 0.000000073123 0.000001365179 0.55 0.000001365179 0.55 0.000000075832 0.000001441011 0.56 0.000001441011 0.56 0.000000078589 0.000001519600 0.57 0.000001519600 0.57 0.000000081397 0.000001600997 0.58 0.000001600997 0.58 0.000000084253 0.000001685250 0.59 0.000001685250 0.59 0.000000087158 0.000001772408 1.00 0.000001772408 1.00 0.000000087592 0.00000186 1.01 0.00000186 1.01 0.000000100000 0.00000196 1.02 0.00000196 1.02 0.000000090000 0.00000205 1.03 0.00000205 1.03 0.000000100000 0.00000215 1.04 0.00000215 1.04 0.000000100000 0.00000225 1.05 0.00000225 1.05 0.000000110000 0.00000236 1.06 0.00000236 1.06 0.000000110000 0.00000247 1.07 0.00000247 1.07 0.000000110000 0.00000258 1.08 0.00000258 1.08 0.000000120000 0.00000270 1.09 0.00000270 1.09 0.000000110000 0.00000281 1.10 0.00000281 1.10 0.000000130000 0.00000294 1.11 0.00000294 1.11 0.000000120000 0.00000306 1.12 0.00000306 1.12 0.000000130000 0.00000319 1.13 0.00000319 1.13 0.000000140000 0.00000333 1.14 0.00000333 1.14 0.000000130000 0.00000346 1.15 0.00000346 1.15 0.000000140000 0.00000360 1.16 0.00000360 1.16 0.000000150000 0.00000375 1.17 0.00000375 1.17 0.000000140000 0.00000389 1.18 0.00000389 1.18 0.000000150000 0.00000404 1.19 0.00000404 1.19 0.000000160000 0.00000420 1.20 0.00000420 1.20 0.000000160000 0.00000436 1.21 0.00000436 1.21 0.000000160000 0.00000452 1.22 0.00000452 1.22 0.000000170000 0.00000469 1.23 0.00000469 1.23 0.000000170000 0.00000486 1.24 0.00000486 1.24 0.000000180000 0.00000504 1.25 0.00000504 1.25 0.000000180000 0.00000522 1.26 0.00000522 1.26 0.000000180000 0.00000540 1.27 0.00000540 1.27 0.000000190000 0.00000559 1.28 0.00000559 1.28 0.000000200000 0.00000579 1.29 0.00000579 1.29 0.000000190000 0.00000598 1.30 0.00000598 1.30 0.000000200000 0.00000618 1.31 0.00000618 1.31 0.000000210000 0.00000639 1.32 0.00000639 1.32 0.000000210000 0.00000660 1.33 0.00000660 1.33 0.000000220000 0.00000682 1.34 0.00000682 1.34 0.000000220000 0.00000704 1.35 0.00000704 1.35 0.000000220000 0.00000726 1.36 0.00000726 1.36 0.000000230000 0.00000749 1.37 0.00000749 1.37 0.000000230000 0.00000772 1.38 0.00000772 1.38 0.000000240000 0.00000796 1.39 0.00000796 1.39 0.000000250000 0.00000821 1.40 0.00000821 1.40 0.000000250000 0.00000846 1.41 0.00000846 1.41 0.000000250000 0.00000871 1.42 0.00000871 1.42 0.000000260000 0.00000897 1.43 0.00000897 1.43 0.000000260000 0.00000923 1.44 0.00000923 1.44 0.000000270000 0.00000950 1.45 0.00000950 1.45 0.000000280000 0.00000978 1.46 0.00000978 1.46 0.000000270000 0.00001005 1.47 0.00001005 1.47 0.000000290000 0.00001034 1.48 0.00001034 1.48 0.000000290000 0.00001063 1.49 0.00001063 1.49 0.000000290000 0.00001092 1.50 0.00001092 1.50 0.000000310000 0.00001123 1.51 0.00001123 1.51 0.000000300000 0.00001153 1.52 0.00001153 1.52 0.000000310000 0.00001184 1.53 0.00001184 1.53 0.000000320000 0.00001216 1.54 0.00001216 1.54 0.000000320000 0.00001248 1.55 0.00001248 1.55 0.000000330000 0.00001281 1.56 0.00001281 1.56 0.000000340000 0.00001315 1.57 0.00001315 1.57 0.000000340000 0.00001349 1.58 0.00001349 1.58 0.000000340000 0.00001383 1.59 0.00001383 1.59 0.000000350000 0.00001418 2.00 0.00001418 2.00 0.000000360000 0.00001454 2.01 0.00001454 2.01 0.000000370000 0.00001491 2.02 0.00001491 2.02 0.000000370000 0.00001528 2.03 0.00001528 2.03 0.000000370000 0.00001565 2.04 0.00001565 2.04 0.000000380000 0.00001603 2.05 0.00001603 2.05 0.000000390000 0.00001642 2.06 0.00001642 2.06 0.000000400000 0.00001682 2.07 0.00001682 2.07 0.000000400000 0.00001722 2.08 0.00001722 2.08 0.000000400000 0.00001762 2.09 0.00001762 2.09 0.000000420000 0.00001804 2.10 0.00001804 2.10 0.000000420000 0.00001846 2.11 0.00001846 2.11 0.000000420000 0.00001888 2.12 0.00001888 2.12 0.000000430000 0.00001931 2.13 0.00001931 2.13 0.000000440000 0.00001975 2.14 0.00001975 2.14 0.000000450000 0.00002020 2.15 0.00002020 2.15 0.000000450000 0.00002065 2.16 0.00002065 2.16 0.000000460000 0.00002111 2.17 0.00002111 2.17 0.000000470000 0.00002158 2.18 0.00002158 2.18 0.000000470000 0.00002205 2.19 0.00002205 2.19 0.000000480000 0.00002253 2.20 0.00002253 2.20 0.000000480000 0.00002301 2.21 0.00002301 2.21 0.000000500000 0.00002351 2.22 0.00002351 2.22 0.000000500000 0.00002401 2.23 0.00002401 2.23 0.000000510000 0.00002452 2.24 0.00002452 2.24 0.000000510000 0.00002503 2.25 0.00002503 2.25 0.000000520000 0.00002555 2.26 0.00002555 2.26 0.000000530000 0.00002608 2.27 0.00002608 2.27 0.000000540000 0.00002662 2.28 0.00002662 2.28 0.000000540000 0.00002716 2.29 0.00002716 2.29 0.000000550000 0.00002771 2.30 0.00002771 2.30 0.000000560000 0.00002827 2.31 0.00002827 2.31 0.000000570000 0.00002884 2.32 0.00002884 2.32 0.000000570000 0.00002941 2.33 0.00002941 2.33 0.000000580000 0.00002999 2.34 0.00002999 2.34 0.000000590000 0.00003058 2.35 0.00003058 2.35 0.000000590000 0.00003117 2.36 0.00003117 2.36 0.000000610000 0.00003178 2.37 0.00003178 2.37 0.000000610000 0.00003239 2.38 0.00003239 2.38 0.000000620000 0.00003301 2.39 0.00003301 2.39 0.000000630000 0.00003364 2.40 0.00003364 2.40 0.000000630000 0.00003427 2.41 0.00003427 2.41 0.000000640000 0.00003491 2.42 0.00003491 2.42 0.000000650000 0.00003556 2.43 0.00003556 2.43 0.000000660000 0.00003622 2.44 0.00003622 2.44 0.000000670000 0.00003689 2.45 0.00003689 2.45 0.000000680000 0.00003757 2.46 0.00003757 2.46 0.000000680000 0.00003825 2.47 0.00003825 2.47 0.000000690000 0.00003894 2.48 0.00003894 2.48 0.000000700000 0.00003964 2.49 0.00003964 2.49 0.000000710000 0.00004035 2.50 0.00004035 2.50 0.000000720000 0.00004107 2.51 0.00004107 2.51 0.000000720000 0.00004179 2.52 0.00004179 2.52 0.000000730000 0.00004252 2.53 0.00004252 2.53 0.000000750000 0.00004327 2.54 0.00004327 2.54 0.000000750000 0.00004402 2.55 0.00004402 2.55 0.000000760000 0.00004478 2.56 0.00004478 2.56 0.000000760000 0.00004554 2.57 0.00004554 2.57 0.000000780000 0.00004632 2.58 0.00004632 2.58 0.000000790000 0.00004711 2.59 0.00004711 2.59 0.000000790000 0.00004790 3.00 0.00004790 3.00 0.000000810000 0.00004871 3.01 0.00004871 3.01 0.000000810000 0.00004952 3.02 0.00004952 3.02 0.000000820000 0.00005034 3.03 0.00005034 3.03 0.000000830000 0.00005117 3.04 0.00005117 3.04 0.000000840000 0.00005201 3.05 0.00005201 3.05 0.000000850000 0.00005286 3.06 0.00005286 3.06 0.000000860000 0.00005372 3.07 0.00005372 3.07 0.000000860000 0.00005458 3.08 0.00005458 3.08 0.000000880000 0.00005546 3.09 0.00005546 3.09 0.000000880000 0.00005634 3.10 0.00005634 3.10 0.000000900000 0.00005724 3.11 0.00005724 3.11 0.000000900000 0.00005814 3.12 0.00005814 3.12 0.000000920000 0.00005906 3.13 0.00005906 3.13 0.000000920000 0.00005998 3.14 0.00005998 3.14 0.000000930000 0.00006091 3.15 0.00006091 3.15 0.000000950000 0.00006186 3.16 0.00006186 3.16 0.000000950000 0.00006281 3.17 0.00006281 3.17 0.000000960000 0.00006377 3.18 0.00006377 3.18 0.000000970000 0.00006474 3.19 0.00006474 3.19 0.000000990000 0.00006573 3.20 0.00006573 3.20 0.000000990000 0.00006672 3.21 0.00006672 3.21 0.000001000000 0.00006772 3.22 0.00006772 3.22 0.000001010000 0.00006873 3.23 0.00006873 3.23 0.000001020000 0.00006975 3.24 0.00006975 3.24 0.000001030000 0.00007078 3.25 0.00007078 3.25 0.000001050000 0.00007183 3.26 0.00007183 3.26 0.000001050000 0.00007288 3.27 0.00007288 3.27 0.000001060000 0.00007394 3.28 0.00007394 3.28 0.000001070000 0.00007501 3.29 0.00007501 3.29 0.000001090000 0.00007610 3.30 0.00007610 3.30 0.000001090000 0.00007719 3.31 0.00007719 3.31 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