PRIMER MODO

piso (i) fi (i) PESO (tn) m(i) m*fi suma m*fi k(i)7 7 1300 1.32653061 9.28571429 9.28571429 1706 6 1450 1.47959184 8.87755102 18.1632653 1905 5 1450 1.47959184 7.39795918 25.5612245 2004 4 1500 1.53061224 6.12244898 31.6836735 2003 3 1600 1.63265306 4.89795918 36.5816327 2502 2 1700 1.73469388 3.46938776 40.0510204 2801 1 1800 1.83673469 1.83673469 41.8877551 300

piso (i) fi (i) PESO (tn) m(i) m*fi suma m*fi k(i)7 6.19823771 1300 1.32653061 8.22215207 8.22215207 1706 5.80703617 1450 1.47959184 8.59204331 16.8141954 1905 5.12237689 1450 1.47959184 7.57902703 24.3932224 2004 4.20702975 1500 1.53061224 6.43933126 30.8325537 2003 3.07243779 1600 1.63265306 5.01622497 35.8487786 2502 2.02444754 1700 1.73469388 3.51179675 39.3605754 2801 1 1800 1.83673469 1.83673469 41.1973101 300

piso (i) fi (i) PESO (tn) m(i) m*fi suma m*fi k(i)7 6.0752744 1300 1.32653061 8.05903747 8.05903747 1706 5.7230747 1450 1.47959184 8.46781461 16.5268521 1905 5.07864599 1450 1.47959184 7.51432315 24.0411752 2004 4.19048524 1500 1.53061224 6.41400803 30.4551833 2003 3.06786752 1600 1.63265306 5.0087633 35.4639466 2502 2.02366016 1700 1.73469388 3.51043089 38.9743774 2801 1 1800 1.83673469 1.83673469 40.8111121 300

piso (i) fi (i) PESO (tn) m(i) m*fi suma m*fi k(i)7 6.05686772 1300 1.32653061 8.03462044 8.03462044 1706 5.70838835 1450 1.47959184 8.4460848 16.4807052 1905 5.06897843 1450 1.47959184 7.50001911 23.9807244 2004 4.18535236 1500 1.53061224 6.40615157 30.3868759 2003 3.06598137 1600 1.63265306 5.00568387 35.3925598 2502 2.02320813 1700 1.73469388 3.50964675 38.9022065 2801 1 1800 1.83673469 1.83673469 40.7389412 300

piso (i) fi (i) PESO (tn) m(i) m*fi suma m*fi k(i)7 6.054 1300 1.327 8.031 8.031 170

6 5.706 1450 1.480 8.443 16.474 1905 5.067 1450 1.480 7.498 23.972 2004 4.184 1500 1.531 6.405 30.377 2003 3.066 1600 1.633 5.005 35.382 2502 2.023 1700 1.735 3.509 38.891 2801 1.000 1800 1.837 1.837 40.728 300

PRIMER MODO

suma m*fi/k delta (i) w^2 D(i)/D(1)0.05462185 0.86543421 8.08842533 6.198237710.09559613 0.81081236 7.39998584 5.807036170.12780612 0.71521623 6.99089282 5.122376890.15841837 0.58741011 6.80955256 4.207029750.14632653 0.42899174 6.99314165 3.072437790.14303936 0.28266521 7.07550819 2.024447540.13962585 0.13962585 7.16199756 1

suma m*fi/k delta (i) w^2 D(i)/D(1)0.0483656 0.83428321 7.42941681 6.0752744

0.08849577 0.78591761 7.38886123 5.72307470.12196611 0.69742185 7.3447325 5.078645990.15416277 0.57545573 7.31077911 4.190485240.14339511 0.42129296 7.29287705 3.067867520.14057348 0.27789785 7.28486217 2.023660160.13732437 0.13732437 7.28202884 1

suma m*fi/k delta (i) w^2 D(i)/D(1)0.0474061 0.82395836 7.37327843 6.05686772

0.08698343 0.77655226 7.36985136 5.708388350.12020588 0.68956882 7.36495881 5.068978430.15227592 0.56936295 7.35995424 4.185352360.14185579 0.41708703 7.3554613 3.065981370.13919421 0.27523125 7.35258149 2.023208130.13603704 0.13603704 7.3509391 1

suma m*fi/k delta (i) w^2 D(i)/D(1)0.04726247 0.82214419 7.36715991 6.054238270.08674055 0.77488172 7.36678672 5.706199230.11990362 0.68814116 7.36618982 5.067445120.15193438 0.56823754 7.36549779 4.184479450.14157024 0.41630316 7.36478041 3.065640510.13893645 0.27473292 7.36427257 2.02312270.13579647 0.13579647 7.36396163 1

suma m*fi/k delta (i) w^2 D(i)/D(1)0.047 0.822 7.366 6.054 w2 exacto 7.366

0.087 0.775 7.366 5.706 w 2.7140.120 0.688 7.366 5.067 T 2.3150.152 0.568 7.366 4.1840.142 0.416 7.366 3.0660.139 0.275 7.366 2.0230.136 0.136 7.366 1.000

w^2 44.196modo Piso (i) m(i) fi (i) F(i) Q(i) K(i)

2 7 1.326530612 1 58.62734694 58.627346939 1706 1.479591837 0.6551332533 42.84050044 101.46784738 1905 1.479591837 0.1210919513 7.918449822 109.3862972 2004 1.530612245 -0.425839535 -28.8067409 80.579556269 2003 1.632653061 -0.828737316 -59.7989786 20.780577625 2502 1.734693878 -0.911859627 -69.909114 -49.12853635 2801 1.836734694 -0.736400568 -59.778293 -108.9068293 300

valor 0 -0.373377804

w^2 55modo Piso (i) m(i) fi (i) F(i) Q(i) K(i)

2 7 1.326530612 1 72.95918367 72.959183673 1706 1.479591837 0.5708283313 46.45261166 119.41179533 1905 1.479591837 -0.057654802 -4.69180659 114.71998874 2004 1.530612245 -0.631254746 -53.1413434 61.578645353 2003 1.632653061 -0.939147972 -84.3316547 -22.75300932 2502 1.734693878 -0.848135935 -80.9190918 -103.6721011 2801 1.836734694 -0.477878431 -48.2754742 -151.9475753 300

valor 0 0.0286134863

w^2 54.2309781modo Piso (i) m(i) fi (i) F(i) Q(i) K(i)

2 7 1.327 1.000 71.939 71.939 1706 1.480 0.577 46.285 118.224 1905 1.480 -0.045 -3.643 114.581 2004 1.531 -0.618 -51.323 63.257 2003 1.633 -0.935 -82.749 -19.492 2502 1.735 -0.857 -80.586 -100.078 2801 1.837 -0.499 -49.725 -149.803 300

valor 0 0.0001

w^2 54.234710098modo Piso (i) m(i) fi (i) F(i) Q(i) K(i)

2 7 1.326530612 1 71.94400319 71.944003192 1706 1.479591837 0.5767999812 46.28544965 118.22945285 1905 1.479591837 -0.045460297 -3.64797218 114.58148067 2004 1.530612245 -0.6183677 -51.3321321 63.24934859 2003 1.632653061 -0.934614443 -82.7568055 -19.50745693 2502 1.734693878 -0.856584615 -80.5880113 -100.0954683 2801 1.836734694 -0.4991008 -49.7178132 -149.8132815 300

valor 0 0.0002768047

w^2 54.232220815Piso (i) m(i) fi (i) F(i) Q(i) K(i)

7 1.326530612 1 71.94070108 71.940701082 1706 1.479591837 0.5768194054 46.28488386 118.22558494 1905 1.479591837 -0.045420515 -3.64461261 114.58097233 2004 1.530612245 -0.618325377 -51.3262628 63.254709505 2003 1.632653061 -0.934598924 -82.7516331 -19.49692355 2502 1.734693878 -0.85661123 -80.5868163 -100.0837398 2801 1.836734694 -0.499169302 -49.7223548 -149.8060946 300

valor 0 0.0001843465

delta (i) Normalizando0.34486675 -0.94998656 condicion

0.5340413 -1.47109590.54693149 -1.506603830.40289778 -1.109841640.08312231 -0.22897272 sumar

-0.17545906 0.48332798-0.36302276 1

delta (i) Normalizando condicion restar0.42917167 -0.84734159 w exacto 54.23097810.62848313 -1.240855210.57359994 -1.132495750.30789323 -0.60789366

-0.09101204 0.179691-0.3702575 0.73102352

-0.50649192 1

delta (i) Normalizando condicion restar0.423 -0.85 w2 exacto 54.230.622 -1.25 w 7.360.573 -1.15 T 0.850.316 -0.63

-0.078 0.16-0.357 0.72-0.499 1.00

delta (i) Normalizando condicion restar0.42320002 -0.84745494 w exacto 54.23222080.62226028 -1.24607165

0.5729074 -1.147242880.31624674 -0.63328179

-0.07802983 0.15625416-0.35748382 0.71585872-0.49937761 1

delta (i) Normalizando condicion restar0.42318059 -0.8474567 w exacto 54.2371840.62223992 -1.246090670.57290486 -1.147292830.31627355 -0.63336585

-0.07798769 0.15617728-0.35744193 0.71580918-0.49935365 1

w^2 110.49modo Piso (i) m(i) fi (i) F(i) Q(i) K(i) delta (i)

3 7 1.32653061 1 146.568367 146.568367 170 0.862166876 1.47959184 0.13783313 22.5329747 169.101342 190 0.890007065 1.47959184 -0.75217393 -122.965471 46.1358712 200 0.230679364 1.53061224 -0.98285329 -166.21754 -120.081669 200 -0.600408343 1.63265306 -0.38244494 -68.9899454 -189.071614 250 -0.756286462 1.73469388 0.37384152 71.6528301 -117.418784 280 -0.41935281 1.83673469 0.79319432 160.971502 43.552718 300 0.14517573

valor 0 0.64801859

w^2 140modo Piso (i) m(i) fi (i) F(i) Q(i) K(i) delta (i)

2 7 1.32653061 1 185.714286 185.714286 170 1.092436976 1.47959184 -0.09243697 -19.1476591 166.566627 190 0.876666465 1.47959184 -0.96910343 -200.742854 -34.1762269 200 -0.170881134 1.53061224 -0.7982223 -171.047635 -205.223862 200 -1.026119313 1.63265306 0.22789701 52.0907458 -153.133116 250 -0.612532462 1.73469388 0.84042948 204.104302 50.9711855 280 0.182039951 1.83673469 0.65838953 169.300165 220.27135 300 0.73423783

valor 0 -0.0758483

w^2 136.90788modo Piso (i) m(i) fi (i) F(i) Q(i) K(i) delta (i)

3 7 1.327 1.000 181.612 181.612 170 1.0686 1.480 -0.068 -13.837 167.775 190 0.8835 1.480 -0.951 -192.710 -24.935 200 -0.1254 1.531 -0.827 -173.230 -198.164 200 -0.9913 1.633 0.164 36.693 -161.471 250 -0.6462 1.735 0.810 192.380 30.909 280 0.1101 1.837 0.700 175.938 206.846 300 0.689

valor 0 0.010

w^2 137.273355modo Piso (i) m(i) fi (i) F(i) Q(i) K(i) delta (i)

3 7 1.32653061 1 182.097308 182.097308 170 1.071160646 1.47959184 -0.07116064 -14.4533327 167.643976 190 0.882336715 1.47959184 -0.95349735 -193.663451 -26.0194753 200 -0.130097384 1.53061224 -0.82339997 -173.006445 -199.02592 200 -0.99512963 1.63265306 0.17172963 38.4880033 -160.537917 250 -0.642151672 1.73469388 0.81388129 193.807313 33.2693968 280 0.118819271 1.83673469 0.69506202 175.249277 208.518674 300 0.69506225

valor 0 -2.2907E-07

Normalizando5.93878114 condicion6.130550091.58896643

-4.13573508-5.20945529 sumar-2.88858758

1

Normalizando condicion restar1.48785165 w exacto 136.90787981.19398159

-0.23273267-1.39752988-0.834242580.24793049

1

Normalizando condicion sumar1.55 w2 exacto 137.271.28 w 11.72

-0.18 T 0.54-1.44-0.940.161.00

Normalizando condicion restar1.5411003 w exacto 137.2733472

1.26943553-0.18717371-1.43171292-0.923876490.17094767

1

ESPECTRO B/T*g= 0.27 *g/T

DATOSPISO m (tn/cm*segK (tn/cm) 1ER MODO 2DO MODO 3ER MODO

7 1.327 170 1w 2.714 2w 7.364 3w6 1.480 190 1T 2.315 2T 0.853 3T5 1.480 200

1fi

6.054

2fi

-0.847

3fi

4 1.531 200 5.706 -1.2463 1.633 250 5.067 -1.1472 1.735 280 4.184 -0.6331 1.837 300 3.066 0.156

2.023 0.716H PISO 3 1.000 1.000

1er modo 2do modo 3er modom7 1.327 1.327 1.327m6 1.480 1.480 1.480m5 1.480 1.480 1.480m4 1.531 1.531 1.531m3 1.633 1.633 1.633m2 1.735 1.735 1.735m1 1.837 1.837 1.837w 2.714 7.364 11.716

fi

6.054 -0.847 1.5495.706 -1.246 1.2815.067 -1.147 -0.1814.184 -0.633 -1.4373.066 0.156 -0.9372.023 0.716 0.1601.000 1.000 1.000

T 2.315 0.853 0.536B 0.219 -0.268 0.170Sa 114.296 310.133 493.404Sv 42.112 42.112 42.112Sd 15.516 5.718 3.594

DESPLAZ

7X 20.583 1.300 0.9496X 19.400 1.912 0.7855X 17.229 1.761 -0.1114X 14.227 0.972 -0.8803X 10.423 -0.240 -0.5742X 6.879 -1.098 0.0981X 3.400 -1.534 0.613

ACELERAC

7X 151.620 70.528 130.3026X 142.905 103.704 107.7035X 126.910 95.483 -15.2074X 104.798 52.714 -120.8513X 76.778 -12.994 -78.779

ACELERAC

2X 50.669 -59.569 13.4641X 25.045 -83.223 84.097

FUERZAS

7F 201.129 93.557 172.8506F 211.441 153.439 159.3575F 187.774 141.275 -22.5004F 160.405 80.684 -184.9763F 125.352 -21.215 -128.6182F 87.895 -103.335 23.3561F 46.001 -152.858 154.464

Momento Mv 14564.676 6544.425 3387.025

DATOS3ER MODO

11.7160.5361.5491.281

-0.181-1.437-0.9370.1601.000

R max21.19 cm20.16 cm17.76 cm14.74 cm10.64 cm

7.24 cm4.22 cm

247.11 cm/seg2243.70 cm/seg3179.06 cm/seg4195.91 cm/seg5125.21 cm/seg6

90.44 cm/seg7138.79 cm/seg8327.80 tn360.57 tn264.93 tn299.86 tn204.43 tn156.89 tn254.93 tn

18366.07 tn*m

EDIFICIO DE 7 NIVELES wZONA LIMA (2) 0.4 #DIV/0!USO ESTACION DE BOMBEROS 1.5 62.8318531

SUELOTIPO INTERMEDIO S2 1.2 31.4159265

VIB DE SUELO Ts 0.6 20.943951FACTOR DE AMPLIFICACION SISMICA C<=2.5 variable 15.7079633

COEF DE REDUCCION muros de duct limit "R" 4 12.566370610.4719755

1w 2.714 8.975979012w 7.364 7.853981633w 11.716 6.98131701

6.283185315.711986645.235987764.833219474.487989514.1887902

3.926990823.695991363.4906585

3.306939643.14159265

2.9919932.855993322.7318197

2.617993882.513274122.416609732.327105672.243994752.166615622.0943951

Te C Sa Sv Sd0 2.5 0.450 #DIV/0! #DIV/0!

0.1 2.50 0.450 7.019 0.1120.2 2.50 0.450 14.037 0.4470.3 2.50 0.450 21.056 1.0050.4 2.50 0.450 28.075 1.7870.5 2.50 0.450 35.094 2.7930.6 2.50 0.450 42.112 4.0210.7 2.14 0.386 42.112 4.6920.8 1.88 0.338 42.112 5.3620.9 1.67 0.300 42.112 6.0321 1.50 0.270 42.112 6.702

1.1 1.36 0.245 42.112 7.3731.2 1.25 0.225 42.112 8.0431.3 1.15 0.208 42.112 8.7131.4 1.07 0.193 42.112 9.3831.5 1.00 0.180 42.112 10.0541.6 0.94 0.169 42.112 10.724 B/T*g= 0.27 *g1.7 0.88 0.159 42.112 11.394 /T1.8 0.83 0.150 42.112 12.0641.9 0.79 0.142 42.112 12.7352 0.75 0.135 42.112 13.405

2.1 0.71 0.129 42.112 14.0752.2 0.68 0.123 42.112 14.7452.3 0.65 0.117 42.112 15.4162.4 0.63 0.113 42.112 16.0862.5 0.60 0.108 42.112 16.7562.6 0.58 0.104 42.112 17.4262.7 0.56 0.100 42.112 18.0962.8 0.54 0.096 42.112 18.7672.9 0.52 0.093 42.112 19.4373 0.50 0.090 42.112 20.107

0 0.5 1 1.5 2 2.5 3 3.50.000

0.050

0.100

0.150

0.200

0.250

0.300

0.350

0.400

0.450

0.500

f(x) = − 0.143435398396274 x + 0.451329396093928

espectro de aceleracion

0 0.5 1 1.5 2 2.5 3 3.50.000

5.000

10.000

15.000

20.000

25.000

30.000

35.000

40.000

45.000

espectro de velocidad

0 0.5 1 1.5 2 2.5 3 3.50.000

5.000

10.000

15.000

20.000

25.000

espectro de desplazamiento

0 0.5 1 1.5 2 2.5 3 3.50.000

5.000

10.000

15.000

20.000

25.000

espectro de desplazamiento

0 0.5 1 1.5 2 2.5 3 3.50.000

0.050

0.100

0.150

0.200

0.250

0.300

0.350

0.400

0.450

0.500

f(x) = − 0.143435398396274 x + 0.451329396093928

espectro de aceleracion

0 0.5 1 1.5 2 2.5 3 3.50.000

5.000

10.000

15.000

20.000

25.000

30.000

35.000

40.000

45.000

espectro de velocidad

0 0.5 1 1.5 2 2.5 3 3.50.000

5.000

10.000

15.000

20.000

25.000

espectro de desplazamiento

0 0.5 1 1.5 2 2.5 3 3.50.000

5.000

10.000

15.000

20.000

25.000

espectro de desplazamiento