I.- ACELERACION ESPECTRAL

1.1.- PARA EL SISTEMA DE AISLAMIENTO

Aceleración espectral máxima creíble (SM1 (MCE)):

Z = 0.6 g

R = 1

U = 1

C = 1

S = 1.2

SM1 = 0.72

II.- Cálculo del desplazamiento máximo y desplazamiento máximo total

Asumido

TM = 2.50 seg

Bm = 1.37

para 15.62% amortiguamiento efectivo

DM = 0.33 m

b= 24 md= 36 me= 1.8 my= 36 m

DTM = 0.46 m

III.- CALCULO DEL DIAMETRO DEL AISLADOR

a) Di = 0.69 m

Diseño para Carga Máxima sobre los nudos: 7,8,9,12,13,14,17,18,19,22,23 y 24

PM = 117.59 TonPV = 39.61 TonPS = 0.00 Ton

1.4PM + 1.7PV = 231.96 Ton1.25PM + 1.25PV +Ps = 196.50 Ton

b) Di = 0.60 mUSAR Di = 0.70 m

W = PM + 0.25PV = 127.4925 TonQd = 6.95 Ton

Qd/W = 5.45%3% < Qd/W < 10%

IV.- CALCULO DEL DIAMETRO DEL NUCLEO DE PLOMO

σ = 10 Mpaσ = 1.45 ksiσ = 101.98 Kg/cm2σ = 1,019.76 Ton/m2

Dp = 0.10 mUsar Dp = 0.10 m

V.- ALTURA DEL AISLADOR

H = 0.31 m

usar H = 0.35 mVI.- CALCULO DE LA RIGIDEZ SECUNDARIA (POST FLUENCIA)

G = 40.78 Ton/m2

Kd = 43.92 Ton/m

Kd = 0.43 KN/mm

VII.- CALCULO DE LA RIGIDEZ EFECTIVA Y AMORTIGUAMIENTO

Keff = 58.97 Ton/m

Dy = Desplazamiento de fluencia

Q = Qd

Kp = Kd rigidez post fluencia

Dy = 0.018 m

Fy = 7.72 Ton

Beff = 15.62%

Kelástica = Q/Dy + Kd

Kelástica = 439.25 Ton/m

W = PESO DE LA ESTRUCTURA

DEAD = 2,433.41 TonCM = 691.20 Ton

LIVE = 950.40 TonW = (DEAD+CM+0.25CV) 3,362.21 Ton

N° de aisladores = 35

Keff= 2,063.78 Ton/m

2.56 segTm = 2∏ ( W/gK )^0.5=

VIII.- CALCULO DE LA RIGIDEZ VERTICAL Kv

Ec = (6GS^2.K)/(6GS^2+K)

S = FACTOR DE FORMA

fv = 10 hertzfh = 1/T 0.39

10.45

G = 0.80 MpaG = 81.58 Ton/m2K = 2,000.00 MpaK = 203,942.00 Ton/m2

Ec = 42,371.73 Ton/m2A = 0.384846 m2H= 0.35 m

Kv = 46,590.26 Ton/m

IX.- CALCULO DE LAS FUERZAS LATERALES MINIMAS

FUERZA SISMICA LATERAL MINIMA BAJO EL SISTEMA DE AISLACION

Vb = 219.98 Ton

FUERZA SISMICA LATERAL MINIMA DE LOS ELEMENTOS ESTRUCTURALES SOBRE EL SISTEMA DE AISLACION

R = 2.00

Vs = 336.89 Ton

PARAMETROS DE LOS AISLADORES PARA EL PROGRAMA ETABS

Di = 0.70 m

Hi = 0.35 m

Keff = 58.97 Ton/m

Beff = 0.1562

Kelástica = 439.25 Ton/m

Fy = 7.72 Ton

Kd/Ke = 0.10

Kd = 43.92 Ton/m

Kv = 46,590.26 Ton/m

REACCION VERTICAL(AXIAL)Story Point Load FZ 1.4PM + 1.7PV

BASE 1 DEAD 41,371.77 85.05BASE 1 LIVE 9,981.40BASE 1 CM 7,257.46BASE 1 SPECXE30 13,382.61BASE 1 SPECYE30 14,291.99BASE 2 DEAD 58,589.52 135.95BASE 2 LIVE 19,838.47BASE 2 CM 14,427.22BASE 2 SPECXE30 13,402.46BASE 2 SPECYE30 921.62BASE 3 DEAD 58,649.96 136.15BASE 3 LIVE 19,882.58BASE 3 CM 14,458.25BASE 3 SPECXE30 12,916.59BASE 3 SPECYE30 0.00BASE 4 DEAD 58,589.52 135.95BASE 4 LIVE 19,838.47BASE 4 CM 14,427.22BASE 4 SPECXE30 13,402.46BASE 4 SPECYE30 921.62BASE 5 DEAD 41,371.77 85.05BASE 5 LIVE 9,981.40BASE 5 CM 7,257.46BASE 5 SPECXE30 13,382.61BASE 5 SPECYE30 14,291.99BASE 6 DEAD 58,589.52 135.95BASE 6 LIVE 19,838.47BASE 6 CM 14,427.22BASE 6 SPECXE30 1,128.00BASE 6 SPECYE30 15,011.13BASE 7 DEAD 88,564.12 231.19BASE 7 LIVE 39,435.75BASE 7 CM 28,684.12BASE 7 SPECXE30 189.29BASE 7 SPECYE30 202.48BASE 8 DEAD 88,677.25 231.58BASE 8 LIVE 39,521.38BASE 8 CM 28,744.42BASE 8 SPECXE30 182.69BASE 8 SPECYE30 0.00BASE 9 DEAD 88,564.12 231.19BASE 9 LIVE 39,435.75

BASE 9 CM 28,684.12BASE 9 SPECXE30 189.29BASE 9 SPECYE30 202.48BASE 10 DEAD 58,589.52 135.95BASE 10 LIVE 19,838.47BASE 10 CM 14,427.22BASE 10 SPECXE30 1,128.00BASE 10 SPECYE30 15,011.13BASE 11 DEAD 58,648.47 136.15BASE 11 LIVE 19,881.58BASE 11 CM 14,457.57BASE 11 SPECXE30 466.67BASE 11 SPECYE30 14,291.91BASE 12 DEAD 88,674.59 231.57BASE 12 LIVE 39,519.41BASE 12 CM 28,743.09BASE 12 SPECXE30 7.32BASE 12 SPECYE30 202.52BASE 13 DEAD 88,788.80 231.96BASE 13 LIVE 39,605.93BASE 13 CM 28,804.00BASE 13 SPECXE30 0.70BASE 13 SPECYE30 0.00BASE 14 DEAD 88,674.59 231.57BASE 14 LIVE 39,519.41BASE 14 CM 28,743.09BASE 14 SPECXE30 7.32BASE 14 SPECYE30 202.52BASE 15 DEAD 58,648.47 136.15BASE 15 LIVE 19,881.58BASE 15 CM 14,457.57BASE 15 SPECXE30 466.67BASE 15 SPECYE30 14,291.91BASE 16 DEAD 58,646.99 136.14BASE 16 LIVE 19,880.57BASE 16 CM 14,456.90BASE 16 SPECXE30 0.00BASE 16 SPECYE30 13,592.73BASE 17 DEAD 88,671.93 231.56BASE 17 LIVE 39,517.42BASE 17 CM 28,741.76BASE 17 SPECXE30 0.00BASE 17 SPECYE30 192.58BASE 18 DEAD 88,786.12 231.95

BASE 18 LIVE 39,603.93BASE 18 CM 28,802.66BASE 18 SPECXE30 0.00BASE 18 SPECYE30 0.00BASE 19 DEAD 88,671.93 231.56BASE 19 LIVE 39,517.42BASE 19 CM 28,741.76BASE 19 SPECXE30 0.00BASE 19 SPECYE30 192.58BASE 20 DEAD 58,646.99 136.14BASE 20 LIVE 19,880.57BASE 20 CM 14,456.90BASE 20 SPECXE30 0.00BASE 20 SPECYE30 13,592.73BASE 21 DEAD 58,648.47 136.15BASE 21 LIVE 19,881.58BASE 21 CM 14,457.57BASE 21 SPECXE30 466.67BASE 21 SPECYE30 14,291.91BASE 22 DEAD 88,674.59 231.57BASE 22 LIVE 39,519.41BASE 22 CM 28,743.09BASE 22 SPECXE30 7.32BASE 22 SPECYE30 202.52BASE 23 DEAD 88,788.80 231.96BASE 23 LIVE 39,605.93BASE 23 CM 28,804.00BASE 23 SPECXE30 0.70BASE 23 SPECYE30 0.00BASE 24 DEAD 88,674.59 231.57BASE 24 LIVE 39,519.41BASE 24 CM 28,743.09BASE 24 SPECXE30 7.32BASE 24 SPECYE30 202.52BASE 25 DEAD 58,648.47 136.15BASE 25 LIVE 19,881.58BASE 25 CM 14,457.57BASE 25 SPECXE30 466.67BASE 25 SPECYE30 14,291.91BASE 26 DEAD 58,589.52 135.95BASE 26 LIVE 19,838.47BASE 26 CM 14,427.22BASE 26 SPECXE30 1,128.00BASE 26 SPECYE30 15,011.13

BASE 27 DEAD 88,564.12 231.19BASE 27 LIVE 39,435.75BASE 27 CM 28,684.12BASE 27 SPECXE30 189.29BASE 27 SPECYE30 202.48BASE 28 DEAD 88,677.25 231.58BASE 28 LIVE 39,521.38BASE 28 CM 28,744.42BASE 28 SPECXE30 182.69BASE 28 SPECYE30 0.00BASE 29 DEAD 88,564.12 231.19BASE 29 LIVE 39,435.75BASE 29 CM 28,684.12BASE 29 SPECXE30 189.29BASE 29 SPECYE30 202.48BASE 30 DEAD 58,589.52 135.95BASE 30 LIVE 19,838.47BASE 30 CM 14,427.22BASE 30 SPECXE30 1,128.00BASE 30 SPECYE30 15,011.13BASE 31 DEAD 41,371.77 85.05BASE 31 LIVE 9,981.40BASE 31 CM 7,257.46BASE 31 SPECXE30 13,382.61BASE 31 SPECYE30 14,291.99BASE 32 DEAD 58,589.52 135.95BASE 32 LIVE 19,838.47BASE 32 CM 14,427.22BASE 32 SPECXE30 13,402.46BASE 32 SPECYE30 921.62BASE 33 DEAD 58,649.96 136.15BASE 33 LIVE 19,882.58BASE 33 CM 14,458.25BASE 33 SPECXE30 12,916.59BASE 33 SPECYE30 0.00BASE 34 DEAD 58,589.52 135.95BASE 34 LIVE 19,838.47BASE 34 CM 14,427.22BASE 34 SPECXE30 13,402.46BASE 34 SPECYE30 921.62BASE 35 DEAD 41,371.77 85.05BASE 35 LIVE 9,981.40BASE 35 CM 7,257.46BASE 35 SPECXE30 13,382.61

BASE 35 SPECYE30 14,291.99Summation 0, 0, Base TOTAL DEAD 2,433,408.00 KgSummation 0, 0, Base TOTAL LIVE 950,400.00 KgSummation 0, 0, Base TOTAL CM 691,200.00 Kg

DEAD 2,433.41 TonLIVE 950.40 TonCM 691.20 Ton

REACCION VERTICAL(AXIAL)1.25PM + 1.25PV +Ps 1.25PM + 1.25PV -Ps Pu máx

86.65 59.8887.56 58.97 87.56

129.47 102.67116.99 115.15 135.95

129.16 103.32116.24 116.24 136.15

129.47 102.67116.99 115.15 135.95

86.65 59.8887.56 58.97 87.56

117.20 114.94131.08 101.06 135.95

196.04 195.67196.06 195.65 231.19

196.36 196.00196.18 196.18 231.58

196.04 195.67196.06 195.65 231.19

117.20 114.94131.08 101.06 135.95

116.70 115.77130.53 101.94 136.15

196.18 196.16196.37 195.97 231.57

196.50 196.50196.50 196.50 231.96

196.18 196.16196.37 195.97 231.57

116.70 115.77130.53 101.94 136.15

116.23 116.23129.82 102.64 136.14

196.16 196.16196.36 195.97 231.56

196.49 196.49196.49 196.49 231.95

196.16 196.16196.36 195.97 231.56

116.23 116.23129.82 102.64 136.14

116.70 115.77130.53 101.94 136.15

196.18 196.16196.37 195.97 231.57

196.50 196.50196.50 196.50 231.96

196.18 196.16196.37 195.97 231.57

116.70 115.77130.53 101.94 136.15

117.20 114.94131.08 101.06 135.95

196.04 195.67196.06 195.65 231.19

196.36 196.00196.18 196.18 231.58

196.04 195.67196.06 195.65 231.19

117.20 114.94131.08 101.06 135.95

86.65 59.8887.56 58.97 87.56

129.47 102.67116.99 115.15 135.95

129.16 103.32116.24 116.24 136.15

129.47 102.67116.99 115.15 135.95

86.65 59.88

87.56 58.97 87.56F Max = 231.96 Ton

F Min = 87.56 Ton

1 Gpa 145.037 ksi1 Ksi 70.31 Kg/cm2

1 Mpa 0.1450377 Ksi1 Kip-ft 0.13825 Ton-m

kip/ft 1.4878 Ton/m1 Kg 0.0022 kips1ksi 6.8948 N/mm2

1Kg/cm2 14.22 psi1Kn 0.10197 Ton

1 Mpa 101.971 Ton/m2