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Fn 1900 Tensión de corte nominal en los Pernos tipo: Pernos A307 1/2" 112 N° de pernos 2 Area perno 1.27 Fn 120 Límite de aguante del plomo lami d 4 [cm] Rn 304.8 [Kgf] L 300 [cm] Distancia desde la masa m hasta F 4 [Kgf] Fuerza a aplicar en el sistema Def 1.74 [cm] g 980 [cm/s²] m 10 [kg] 112 Masa 0.01020408 [Kg*s²/m] Masa/g E 2100000 Mod. Elasticidad del acero b 18 cm h 5 cm I 10 Inercia K 3.11111111 [Kg/cm] K 2.33333333 Rigidez del sistema Wn 15.1217283 Frecuencia natural T 0.41550709 PERIODO DEL SISTEMA (segundos) [Kg / cm²] [cm²] [Kg / cm²] [Kg / cm²] [cm²²] Determ inacion de la rigidezdel sistem a según el m odelo a considerar:

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Fn 1900 Tensión de corte nominal en los perno

Pernos tipo: Pernos A307 1/2" 112N° de pernos 2Area perno 1.27Fn 120 Límite de aguante del plomo laminadod 4 [cm]Rn 304.8 [Kgf]

L 300 [cm] Distancia desde la masa m hasta el eje de los pernos

F 4 [Kgf] Fuerza a aplicar en el sistema

Def 1.74 [cm]

g 980 [cm/s²]m 10 [kg] 112

Masa 0.01020408 [Kg*s²/m] Masa/gE 2100000 Mod. Elasticidad del acero

b 18 cmh 5 cm

I 10 Inercia

K 3.11111111 [Kg/cm]K 2.33333333 Rigidez del sistema

Wn 15.1217283 Frecuencia natural

T 0.41550709 PERIODO DEL SISTEMA(segundos)

[Kg / cm²]

[Kg / cm²]

[cm²][Kg / cm²]

[Kg / cm²]

[Kg / cm²]

[cm²²]

Determinacion de la rigidez del sistema según el modelo a considerar:

masa [KG] Inercia L [cm] Wn T10 1000 250 198 0.0310 500 250 140 0.04410 500 500 50 0.1

100 500 500 15.7 0.4

100 833 500 20 0.3

150714

.

.

F.perno 1

F.perno 2

Mo

b 10h 10

I 833.333333

.

.

F.perno 1

F.perno 2

Mo

Pernos tipo:Pernos A307 1/2" Masa [kg] masa/g L [cm] Inercia [cm4] KN° de pernos 2 5 0.005 100 26.8 168.84Area perno 1.27 10 0.010 100 26.8 168.84

Fn 120 15 0.015 100 26.8 168.84d 4 [cm] 20 0.020 100 26.8 168.84

Rn 304.8 [Kgf] 100 0.102 100 26.8 168.84100 0.102 100 26.8 168.84

L 300 [cm] 150 0.153 100 26.8 168.84200 0.204 100 26.8 168.84

F 4 [Kgf] 250 0.255 100 26.8 168.84400 0.408 100 26.8 168.84

E 2100000.00 500 0.510 100 26.8 168.841000 1.020 100 26.8 168.84

112 5 0.005 200 270 212.6310 0.010 200 270 212.6315 0.015 200 270 212.6320 0.020 200 270 212.6350 0.051 200 270 212.63

tubular 100x100x5 270 100 0.102 200 270 212.63tubular 50x50x5 26.8 150 0.153 200 270 212.63

L 100x100x5 82.3 200 0.204 200 270 212.63250 0.255 200 270 212.63400 0.408 200 270 212.63500 0.510 200 270 212.63

1000 1.020 200 270 212.63

[cm²][Kg / cm²]

[Kg / cm²]

[Kg / cm²]

donacion 10,000 321000pub 7,000 - 114,000 cel 16,000

isapre 27,000 Mastercard int 24,000 207000

felipe 30,000

114,000

P.critica [kg] Wn T Faplicada [kg] Desp [mm] 13,886.5 181.91 0.035 12.192 72.21037669 13,886.5 128.63 0.049 12.192 72.21037669 13,886.5 105.03 0.060 12.192 72.21037669 13,886.5 90.96 0.069 12.192 72.21037669 13,886.5 40.68 0.154 12.192 72.21037669 13,886.5 40.68 0.154 12.192 72.21037669 13,886.5 33.21 0.189 12.192 72.21037669 13,886.5 28.76 0.218 12.192 72.21037669 13,886.5 25.73 0.244 12.192 72.21037669 13,886.5 20.34 0.309 12.192 72.21037669 13,886.5 18.19 0.345 12.192 72.21037669 13,886.5 12.86 0.488 12.192 72.21037669 34,975.4 204.14 0.031 6.096 28.670194 34,975.4 144.35 0.044 6.096 28.670194 34,975.4 117.86 0.053 6.096 28.670194 34,975.4 102.07 0.062 6.096 28.670194 34,975.4 64.56 0.097 6.096 28.670194 34,975.4 45.65 0.138 6.096 28.670194 34,975.4 37.27 0.169 6.096 28.670194 34,975.4 32.28 0.195 6.096 28.670194 34,975.4 28.87 0.218 6.096 28.670194 34,975.4 22.82 0.275 6.096 28.670194 34,975.4 20.41 0.308 6.096 28.670194 34,975.4 14.44 0.435 6.096 28.670194

Debe haber

Pernos tipo:Pernos A307 1/2" Masa [kg] masa/g L [cm] Inercia [cm4] KN° de pernos 2 50 0.051 100 26.8 168.84Area perno 1.27 50 0.051 150 26.8 50.027

Fn 1900 50 0.051 300 26.8 6.2533d 4 [cm] 50 0.051 100 26.8 168.84

Rn 4826 [Kgf] 100 0.102 150 26.8 50.02750 0.051 300 26.8 6.2533

L 300 [cm] 50 0.051 100 26.8 168.84100 0.102 200 26.8 21.105

F 64 [Kgf] 50 0.051 200 26.8 21.10550 0.051 100 26.8 168.84

E 2100000.00 50 0.051 350 14.1 2.071850 0.051 300 19.4 4.5267

112 10 0.010 150 270 50440 0.041 150 26.8 50.02730 0.031 200 26.8 21.10540 0.041 300 26.8 6.253350 0.051 150 26.8 50.027

tubular 100x100x5 270 60 0.061 150 26.8 50.027tubular 50x50x5 26.8 70 0.071 150 26.8 50.027

L 100x100x5 82.3 100 0.102 150 26.8 50.027tubular 80x80x6 163155 1000 1.020 150 26.8 50.027

tub 50x50x2 14.1 50000 51.020 150 26.8 50.02750 0.051 150 26.8 50.02750 0.051 150 26.8 50.027

50x50x3 19.4

[cm²][Kg / cm²]

[Kg / cm²]

[Kg / cm²]

donacion 10,000 321000

pub 7,000 - 114,000 cel 16,000

isapre 27,000 Mastercard int 24,000 207000

felipe 30,000

114,000

P.critica [kg] Wn T Faplicada [kg] Desp [cm] Resistencia 13,886.5 57.53 0.109 193.0 1 6,171.8 31.31 0.201 128.7 2.57 Ok modelo vertical 1,542.9 11.07 0.568 64.3 10 Ok modelo vertical 13,886.5 57.53 0.109 193.0 1 6,171.8 22.14 0.284 128.7 2.57 ok modelo vertical 1,542.9 11.07 0.568 64.3 10 13,886.5 57.53 0.109 193.0 1 3,471.6 14.38 0.437 96.5 4.57 Ok modelo vertical 3,471.6 20.34 0.309 96.5 4.57 Ok modelo vertical 13,886.5 57.53 0.109 193.0 1 596.4 6.37 0.986 55.2 26.62 Falla. FU. 1,4 1,116.9 9.42 0.667 64.3 14.22 Ok modelo vertical 62,178.5 222.24 0.028 128.7 0 6,171.8 35.01 0.179 128.7 3 F. aplicada 3,471.6 26.26 0.239 96.5 96.52 5 1,542.9 12.38 0.508 64.3 10 64.3466666666667 6,171.8 31.31 0.201 128.7 3 128.693333333333 6,171.8 28.58 0.220 128.7 3 128.693333333333 6,171.8 26.46 0.237 128.7 3 128.693333333333 6,171.8 22.14 0.284 128.7 3 128.693333333333 6,171.8 7.00 0.897 128.7 3 128.693333333333 6,171.8 0.99 6.345 128.7 3 128.693333333333 6,171.8 31.31 0.201 128.7 3 128.693333333333 6,171.8 31.31 0.201 128.7 3 128.693333333333

Debe haber

Area perno 1/4" 0.32Fpernos 608

d 2Area p 1/2" 1.27 [cm2] K*L Inercia [cm^4]Tens. Corte 1900 kg/cm2 200 26.8d. pernos 4 cm 300 26.8F. pernos 2413 400 26.8

E 2100000 kg/cm2 500 26.8K 2 libre - empotrado 600 26.8

700 26.8tubular 100x100x5 270 800 26.8

tubular 50x50x5 26.8 900 26.8L 100x100x5 82.3 1000 26.8

tub 50x50x2 14.1 200 14.1300 14.1400 14.1

0 Perrfil 50x50x2 500 14.1600 14.1700 14.1

Area 800 14.1900 14.1

1000 14.1K*L Inercia [cm^4]200 26.8300 26.8400 26.8500 26.8600 26.8700 26.8800 26.8900 26.8

1000 26.8200 14.1300 14.1400 14.1500 14.1600 14.1700 14.1800 14.1900 14.1

1000 14.1

h [cm] M [Kg*cm] F. aplicada [kg] Def [cm] Masa [kg] masa/g K100 9652 96.5 0.57 30 0.031 168.8150 9652 64.3 1.29 40 0.041 50.0200 9652 48.3 2.29 30 0.031 21.1250 9652 38.6 3.57 40 0.041 10.8300 9652 32.2 5.14 40 0.041 6.3350 9652 27.6 7.00 30 0.031 3.9400 9652 24.1 9.15 40 0.041 2.6450 9652 21.4 11.58 40 0.041 1.9500 9652 19.3 14.29 40 0.041 1.4100 9652 96.5 1.09 40 0.041 88.8150 9652 64.3 2.44 50 0.051 26.3200 9652 48.3 4.35 40 0.041 11.1250 9652 38.6 6.79 50 0.051 5.7300 9652 32.2 9.78 40 0.041 3.3350 9652 27.6 13.31 40 0.041 2.1400 9652 24.1 17.39 40 0.041 1.4450 9652 21.4 22.00 40 0.041 1.0500 9652 19.3 27.16 40 0.041 0.7

h [cm] M [Kg*cm] F. aplicada [kg] Def [cm] Masa [kg] masa/g K100 1216 12.2 0.07 40 0.041 168.8150 1216 8.1 0.16 40 0.041 50.0200 1216 6.1 0.29 40 0.041 21.1250 1216 4.9 0.45 40 0.041 10.8300 1216 4.1 0.65 40 0.041 6.3350 1216 3.5 0.88 40 0.041 3.9400 1216 3.0 1.15 40 0.041 2.6450 1216 2.7 1.46 40 0.041 1.9500 1216 2.4 1.80 40 0.041 1.4100 1216 12.2 0.14 50 0.051 88.8150 1216 8.1 0.31 50 0.051 26.3200 1216 6.1 0.55 40 0.041 11.1250 1216 4.9 0.86 40 0.041 5.7300 1216 4.1 1.23 40 0.041 3.3350 1216 3.5 1.68 40 0.041 2.1400 1216 3.0 2.19 40 0.041 1.4450 1216 2.7 2.77 40 0.041 1.0500 1216 2.4 3.42 40 0.041 0.7

Para que los pernos fluyan

27794

P.critica [kg] Wn T Faplicada [kg] #REF! 4,420.2 74.27 0.085 1,964.5 35.01 0.179 1,105.1 26.26 0.239 707.2 16.27 0.386 491.1 12.38 0.508 360.8 11.34 0.554 276.3 8.04 0.782 218.3 6.74 0.933 176.8 5.75 1.092 2,325.6 46.65 0.135 1,033.6 22.71 0.277 581.4 16.49 0.381 372.1 10.56 0.595 Cumple con modelo vertical y Horizontal 258.4 8.98 0.700 189.8 7.12 0.882 145.3 5.83 1.077 114.8 4.89 1.286 93.0 4.17 1.506P.critica [kg] Wn T

4,420.2 64.32 0.098 1,964.5 35.01 0.179 1,105.1 22.74 0.276 707.2 16.27 0.386 491.1 12.38 0.508 360.8 9.82 0.640 276.3 8.04 0.782 218.3 6.74 0.933 176.8 5.75 1.092 2,325.6 41.73 0.151 1,033.6 22.71 0.277 581.4 16.49 0.381 372.1 11.80 0.532 258.4 8.98 0.700 189.8 7.12 0.882 145.3 5.83 1.077 114.8 4.89 1.286 93.0 4.17 1.506

Momento generado en la base 10,500 [kg*cm]

Esfuerzo admisible en el plomo 120 [Kg / cm²]