ESTIRAJE POR DESAROLLOS
Estiraje Total= Des.Cil. Prod.
Des. Cil. Alim.
Estiraje Total= E1 x E2 x E3...
Cilindro Productor Cilindro alimentador
Cilindro Alimentador Cilindro Productor
Estiraje Total =19,343.95 "/min = 0.47
40,854.59 "/min
Estirajes Parciales
E 1-2 = 14,507.91 "/min = 0.35
40,854.59 "/min
E 2-3 = 14,443.49 "/min = 0.99
14,507.91 "/min
E 3-4 = 19,343.95 "/min = 1.33
14,443.49 "/min
ET= 0.35 x 0.99 x 1.33 = 0.46 <= La multiplicación de los estirajes parciales debe dar como resultado un numero muy cercano al Estiraje Total
Otros estirajes Parciales que también se pueden utilizar:
Estirajes Parciales
E 1-3 = 14,443.91 "/min = 0.35
40,854.59 "/min
E 3-4 = 19343.95 "/min = 1.33
14,443.49 "/min
ET= 0.35 x 1.33 = 0.46
Estirajes Parcieles
E 1-2 = 14,507.91 "/min = 0.35
40,854.59
E 2-4 = 19,343.95 "/min = 1.33
14,507.91 "/min
ET = 0.35 x 1.33 = 0.46
ESTIRAJE POR RELACIÓN DE ENGRANES
FORMULA:
Estiraje Total = Diametro del Prod. x n Prod.
Diametro del Alim. x n Alim.
Estiraje Total= E1 x E2 x E3...
Cilindro Productor Cilindro alimentador
Cilindro Alimentador Cilindro Productor
Ahora calcularemos el estiraje total por relación de engranes con el mismo tren simple de poleas y engranes anterior:
Estiraje Total = (1 5/4)(10)(25) = 0.47
(5 1/2)(12)(18)
También cuando se pone el diámetro de los cilindros se puede pasar a números decimales:
Estiraje Total = (2.25)(10)(25) = 0.47
(5.5)(12)(18)
Estirajes Parciales
E 1-2 = (3 3/8)(10)(25) = 0.42
(5 1/2)(12)(18)
E 2-3 = (2 1/3)(30) = 0.82
(3 3/8)(25)
E 3-4 = (1 5/4)(25) = 1.33
(2 1/3)(18)
(2 1/3)(18)
ET= 0.42 x 0.82 x 1.33 = 0.46
Ejemplos:
Ejemplo 1
Velocidades
n1 = 6,315 rpm
n2 = (6,315 rpm)(50) = 26,312.5 rpm
(12)
n3 = (6,315 rpm)(50)(25) = 20,556.64 rpm
(12)(32)
n4 = (6,315 rpm)(50)(25)(30) = 15,417.48 rpm
(12)(32)(40)
n5 = (6315 rpm)(50)(25)(30) = 36,276.42 rpm
(12)(32)(17)
n6 = (6315 rpm)(50)(25)(30)(14)(20) = 18,809.99 rpm
(12)(32)(17)(30)(18)
n7 = (6315 rpm)(50)(25)(30)(14)(20) =21,161.24 rpm
(12)(32)(17)(30)(16)
n8 = (6315 rpm)(50)(25)(30)(14)(20)(12) = 16,928.99 rpm
(12)(32)(17)(30)(16)(15)
n9 = (6315 rpm)(50)(25)(30)(14)(20)(12)(25) = 23,512.49 rpm
(12)(32)(17)(30)(16)(15)(18)
n10 = (6315 rpm)(50)(25)(30)(14)(20)(12)(25) = 11,756.2 rpm
(12)(32)(17)(30)(16)(15)(36)
Desarrollos
D1 = π (1 1/4")(6315 rpm) = 24,798.94
D2 = π (2 1/8")(26,312.5 rpm) = 175,659.20
D3 = π (3 1/2")(20,556.64 rpm) = 226,031.62
D4 = π (4 1/8")(15,417.48 rpm) = 196,296.21
D5 = π (2 1/2")(36,276.42 rpm) = 284,914.17
D6 = π (2 6/8")(18,809.99 rpm) = 162,506.64
D7 = π (2 5/4")(21,161.24 rpm) = 216,059.98
D8 = π (3 1/2")(16,928.99 rpm) = 186,143.96
D9 = π (6 1/8")(23,512.49 rpm) = 452,433.32
D10 = π (3 1/6")(11,756.2 rpm) = 116,955.10
D2 = π (2 1/8")(26,312.5 rpm) = 175,659.20
D3 = π (3 1/2")(20,556.64 rpm) = 226,031.62
D4 = π (4 1/8")(15,417.48 rpm) = 196,296.21
D5 = π (2 1/2")(36,276.42 rpm) = 284,914.17
D6 = π (2 6/8")(18,809.99 rpm) = 162,506.64
D7 = π (2 5/4")(21,161.24 rpm) = 216,059.98
D8 = π (3 1/2")(16,928.99 rpm) = 186,143.96
D9 = π (6 1/8")(23,512.49 rpm) = 452,433.32
D10 = π (3 1/6")(11,756.2 rpm) = 116,955.10
Estirajes por Desarrollos
ET = 116,955.10 "/min= 4.71
24,798.94 "/min
Estirajes Parciales
E 1-3 = 226,031.62 "/min = 9.11
24,798.94 "/min
E 3-5 = 284,914.17 "/min = 1.26
226,031.62 "/min
E 5-7 = 216,059.98 "/min = 0.75
284,914.17 "/min
E 7-10 = 116,955.10 "/min = 0.54
216,059.98 "/min
ET = 9.11 x 1.26 x 0.75 x 0.54 = 4.64
Estirajes por relación de Engranes
ET = (3 1/6)(50)(25)(30)(14)(20)(12)(25) = 4.71
(1 !/4)(12)(32)(17)(30)(16)(15)(36)
Estirajes Parciales
E 1-3 = (3 1/2)(50)(25) = 9.11
(1 !/4)(12)(32)
E 3-5 = (2 1/2)(30) = 1.26
(3 1/2)(17)
E 5-7 = (2 5/4)(14)(20) = 0.75
(2 1/2)(30)(16)
E 7-10 = (3 1/6)(12)(25) = 0.54
(2 5/4)(15)(36)
ET = 9.11 x 1.26 x 0.75 x 0.54 = 4.64
Ejemplo 2
Velocidades
n1 = (5375)(40)(15) = 1,060.85 rpm
(80)(38)
n2 = (5375)(40) = 2,687.5 rpm
(80)
n3 = 5375 rpm
n4 = (5375)(40) =10,750 rpm
(20)
n5 = (5375)(40)(40) = 14,333.33 rpm
(20)(30)
n6 = (5375)(40)(40)(40) = 31,851.85 rpm
(20)(30)(18)
n7 = (5375)(40)(40)(40)(60) = 63,703.70 rpm
(20)(30)(18)(30)
n8 = (5375)(40)(40)(40)(60) = 59,722.22 rpm
(20)(30)(18)(32)
n9 = (5375)(40)(40)(40)(60) = 76,444.44 rpm
(20)(30)(18)(25)
n10 = (5375)(40)(40)(40)(60) = 53,086.41 rpm
((20)(30)(18)(36)
Desarrollos
D1 = π (3 5/2")(1,060.85) = 18,330.17
D2 = π (6 3/4")(2,687.5) = 56,990.45
D3 = π (3 1/2")(5,375) = 59,101.21
D4 = π (3 1/4")(10,750) = 109, 759.39
D5 = π (1 1/2")(14,333.33) = 67,544.22
D6 = π (5 3/2")(31,851.85) = 650,425.99
D7 = π (1 1/8")(63,703.70) = 225,147.46
D8 = π (2 3/8")(59,722.22) = 445,604.35
D9 = π (1 1/4")(76,444.44) = 300,196.61
D10 = π (5 3/2")(53,086.41) = 1,084,043.19
Estirajes por Desarrollos
ET = 1,084,043.19 "/min = 59.13
18,330.17 "/min
Estirajes Parciales
E 1-3 = 59,101.21 "/min = 3.22
18,330.17 "/min
E 3-5 = 67,544.22 "/min = 1.14
59,101.21 "/min
E 5-6 = 650,425.99 "/min = 9.62
67,544.22 "/min
E 6-8 = 445,604.35 "/min = 0.68
640,425.99 "/min
E 8-10 = 1,084,043.19 "/min = 2.43
445,604.35 "/min
ET = 3.22 x 1.14 x 9.62 x 0.68 x 2.43 = 58.35
Estirajes por relación de Engranes
ET = (5 3/2)(38)(80)(40)(40)(60) = 59.13
(3 5/2)(15)(20)(30)(18)(36)
Estirajes Parciales
E 1-3 = (3 1/2)(38)(80) = 3.22
(3 5/2)(15)(40)
E 3-5 = (1 1/2)(40)((40) = 1.14
(3 1/2)(20)(30)
E 5.6 = (5 3/2)(40) = 9.62
(1 1/2)(18)
E 6-8 = (2 3/8)(60) = 0.68
(5 3/2)(32)
E 8-10 = (5 3/2)(32) =2.43
(2 3/8)(36)
ET = 3.22 x 1.14 x 9.62 x 0.68 x 2.43 = 58.35
Ejemplo 3
Velocidades
n1 = (400 rpm)(18)(8)(18) = 508.23
(6)(20)(17)
n2 = (400 rpm)(18)(8)(18) = 576
(6)(20)(15)
n3 = (400 rpm)(18)(8) = 480
(6)(20)
n4 = (400 rpm)(18)(8)(18) = 375.65
(6)(20)(23)
n5 = (400 rpm)(18)(8)(18)(12)(15) = 283.22
(6)(20)(17)(19)(17)
n6 = 400 rpm
Desarrollos
D1 = π (15")(508.23) = 23,949.77
D2 = π (12")(576) = 21,714.68
D3 = π (10")(480) = 15,079.64
D4 = π (4")(375.65) = 4,720.55
D5 = π (3")(283.22) = 2,669.28
D6 = π (7 1/2)(400) = 9,424.77
Estiraje por Desarrollos
ET = 9,424.77 "/min = 0.39 "/min
23,949.77 "/min
Estirajes Parciales
E 1-3 = 15,079.64 = 0.62
23,949.77
E 3-4 = 4,720.55 = 0.31
15,079.64
E 4-5 = 2,669.28 = 0.56
4,720.55
E 5-6 = 9,424.77 = 3.53
2,669.28
ET = 0.62 x 0.31 x 0.56 x 3.53 = 0.37
Estiraje por relación de Engranes
ET = (7 1/")(17)(20)(6) = 0.39 "/min
(15)(18)(8)(18)
Estirajes Parciales
E 1-3 = (10)(17) = 0.62
(15)(18)
E 3-4 = (4)(18) = 0.31
(10)(23)
E 4-5 = (3)(23)(12)(15) = 0.56
(4)(17)(19)(17)
E 5-6 = (7 1/2)(17)(19)(17)(20)(6) = 3.53
(3)(15)(12)(18)(8)(18)
ET = 0.62 x 0.31 x 0.56 x 3.53 =0.37
Ejemplo 4
Velocidades
n1 = (2,800)(28)(23)(50)(50)(27) = 3,585.36
(15)(41)(23)(80)(30)
n2 = (2,800)(28) = 5,226.66
(15)
n3 = (2,800)(28)(23) = 2,932.03
(15)(41)
n4 = (2,800)(28)(23)(25) = 5,235.77
(15)(41)(14)
n5 = (2,800)(28)(23)(13) = 1,411.71
(15)(41)(27)
Desarrollos
D1 = π (3")(3,585.36) = 33, 791.22
D2 = π (1 1/2")(5,226.66) = 24,630.05
D3 = π (2")(2,932.031) = 18,422.48
D4 = π (1 1/2")(5,235.77) = 24,672.98
D5 = π (5")(1,411.71) = 22,175.08
Estirajes por Desarrollos
ET = 22,175.08 "/min = 0.72
33,791.22 "/min
Estirajes Parciales
E 1-2 = 24,630.05 "/min = 0.72
33,791.22 "/min
E 2-3 = 18,422.48 "/min = 0.74
24,630.05 "/min
E 3-4 = 24,672.98 "/min = 1.33
18,422.48 "/min
E 4-5 = 22,175.08 "/min = 0.89
24,672.98 "/min
ET = 0.72 x 0.74 x 1.33 x 0.89 = 0.63
Estiraje por relación de Engranes
ET = (5)(39(80)(23)(13) = 0.65
(3)(27)(50)(50)(27)
Estirajes Parciales
E 1-2 = (1 1/2)(30)(80)(23)(41) = 0.72
(3)(27)(50)(50)(23)
E 2-3 = (2)(23) = 0.74
(1 1/2)(41)
E 3-4 = (1 1/2)(25) = 1.33
(2)(14)
E 4-5 = (5)(14)(13) = 0.89
(1 1/2)(25)(27)
ET = 0.72 x 0.74 x 1.33 x 0.89 = 0.63
Ejemplo 5
Velocidades
n1 = (7,000)(32) = 18,666.66
(12)
n2 = (7,000)(32) = 7,225.80
(31)
n3 = 7,000
n4 = (7,000)(57) = 5,541.66
(72)
n5 = (7,000)(57)(20)(19)(28)(25) = 1,274.71
(72)(16)(35)(59)(35)
Desarrollos
D1 = π (2 1/8")(18,666.66) = 124,616.46
D2 = π (2 1/4")(7,225.80) = 51,076.17
D3 = π (1 1/3")(7,000) = 29,321.53
D4 = π (2")(5,541.66) = 34,819.27
D5 = π (4 3/4")(1,274.71) = 19,021.94
Estirajes por Desarrollos
ET = 19,021.94 = 0.15
124,616.46
Estirajes Parciales
E 1-2 = 51,076.17 = 0.40
124,616.46
E 2-3 = 29,321.53 = 0.57
51,076.17
E 3-4 = 34,819.27 = 1.18
29,321.53
E 4-5 = 19,021.94 = 0.54
34,819.27
ET = 0.40 x 0.57 x 1.18 x 0.54 = 0.14
ET = 0.40 x 0.57 x 1.18 x 0.54 = 0.14
Estiraje por relación de Engranes
ET = (4 3/4)(12)(57)(20)(19)(28)(25) = 0.15
(2 1/8)(32)(72)(16)(35)(59)(35)
Estirajes Parciales
E 1-2 = (2 1/4)(12) = 0.40
(2 1/8)(31)
E 2-3 = (1 1/3)(31) = 0.57
(2 1/4)(32)
E 3-4 = (2)(57) = 1.18
(1 1/3)(72)
E 4-5 = (4 3/4)(20)(19)(28)(25) = 0.54
(2)(16)(35)(59)(35)
ET = 0.40 x 0.57 x 1.18 x 0.54 = 0.14
ET = 0.40 x 0.57 x 1.18 x 0.54 = 0.14
Ejemplo 6
Velocidades
n1 = (3,200)(45)(12) = 2,618.18
(30)(22)
n2 = (3,200)(45)(12)(28) = 1,047.27
(30)(22)(70)
n3 = (3,200)(74) = 5,038.29
(47)
n4 = (3,200)(74)(84) = 19,237.13
(47)(22)
n5 = (3,200)(65) = 8,666.66
(24)
n6 = (3,200)(65) = 9,904.76
(21)
n7 = (3,200)(65) = 6,500
(32)
n8 = (3,200)(45) = 2,057.14
(70)
Desarrollos
D1 = π (2 1/2")(2,618.18) = 20,563.13
D2 = π (1 1/8")(1,047.27) = 3, 701.35
D3 = π (5")(5,038.29) = 79,141.27
D4 = π (2 1/4")(19,237.13) = 135,979.25
D5 = π (4 3/4")(8,666.66) = 129,328.79
D6 = π (1 1/2")(9,904.76) = 46,675.08
D7 = π (3 3/2")(6,500) = 91,891.58
D8 = π (6")(2,057.14) = 38,776.17
Estirajes por Desarrollos
ET = 38,776.17 = 1.88
20,563.13
Estirajes Parciales
E 1-2 = 3,701.35 = 0.17
20,563.13
E 2-3 = 79,141.27 = 21.38
3,701.35
E 3-4 = 135,979.25 = 1.71
79,141.27
E 4-5 = 129,328.79 = 0.95
135,979.25
E 5-6 = 46,675.08 = 0.36
129,328.79
E 6-7 = 91,891.58 = 1.96
46,675.08
E 7-8 = 38,776.17 = 0.42
91,891.58
ET = 0.17 x 21.38 x 1.71 x 0.95 x 0.36 x 1.96 x 0.42 = 1.74
ET = 0.17 x 21.38 x 1.71 x 0.95 x 0.36 x 1.96 x 0.42 = 1.74
Estirajes por relación de Engranes
ET = (6)(22)(30) = 1.88
(2 1/2)(12)(70)
Estirajes Parciales
E 1-2 = (1 1/8)(28) = 0.18
(2 1/2)(70)
E 2-3 = (5)(70)(22)(30)(74) = 21.38
(1 1/8)(28)(12)(45)(47)
E 3-4 = (2 1/4)(84) 0 1.71
(5)(22)
E 4-5 = (4 3/4)(22)(47)(65) = 0.95
(2 1/4)(84)(74)(24)
E 5-6 = (1 1/2)(24) = 0.36
(4 3/4)(21)
E 6-7 = (3 3/2)(21) = 1.96
(1 1/2)(32)
E 7-8 = (6)(32)(45) = 0.42
(3 3/2)(65)(70)
ET = 0.18 x 21.38 x 1.71 x 0.95 x 0.36 x 1.96 x 0.42 = 1.85
Ejemplo 7
Velocidades
n1 = (1,800)(27)(19)(25)(20)(30)(72)(20) = 13.11
(160)(40)(80)(15)(55)(30)(120)
n2 = (1,800)(27)(10)(25)(20) = 60.11
(160)(40)(80)(15)
n3 = (1,800)(27)(19) = 99.50
(160)(58)
n4 = (1,800)(27)(19)(90) = 149.25
(160)(58)(60)
Desarrollos
D1 = π (1 1/8)(13.11) = 46.33
D2 = π (5 1/8)(60.11) = 967.81
D3 = π (1 1/3)(99.50) = 416.78
D4 = π (1 1/4)(149.25) = 586.10
Estirajes por Desarrollos
ET = 586.10 = 12.65
46.33
Estirajes Parciales
E 1-2 = 967.81 = 20.88
46.33
E 2-3 = 416.78 = 0.43
967.81
E 3-4 = 586.10 = 1.40
416.78
ET = 20.88 x 0.43 x 1.40 = 12.56
Estirajes por relación de Engranes
ET = (1 1/4)(120)(30)(55)(15)(80)(40)(90) = 12.64
(1 1/8)(20)(72)(30)(20)(25)(58)(60)
Estirajes Parciales
E 1-2 = (5 1/8)(120)(30)(55) = 20.87
(1 1/8)(20)(72)(30)
E 2-3 = (1 1/2)(15)(30)(55) = 20.87
(5 1/8)(20)(25)(58)
E 3-4 = (1 1/4)(90) = 1.40
(1 1/3)(60)
ET = 20.87 x 0.43 x 1.40 = 12.56
