Formas de modo

MODELO DINAMICO DIRECCION X MODELO DINAMICO DIRECCION YPISO Wi Rigidez PISO

PISO 7 202.16 PISO 7490.58

PISO 6 264.06 PISO 6751.16

PISO 5 264.06 PISO 5893.88

PISO 4 264.06 PISO 41017.92

PISO 3 425.10 PISO 31256.16

PISO 2 463.40 PISO 21287.86

PISO 1 476.11 PISO 11956.11

1 FORMA DE MODO : METODO DE STODOLO - VIANELLO

1956.11 1287.86 1256.16 1017.920.49 0.47 0.43

xi 1.00 2.00 3.00fi/w2 0.49 0.95 1.30vi/w2 8.22 7.73 6.79 5.49

xi/w2 0.00 0.01 0.01 0.01xi/w2 0.00 0.01 0.02w2 238.01 195.96 192.20xi 1.00 2.43 3.72

fi/w2 0.49 1.15 1.61vi/w2 9.80 9.31 8.16 6.55

xi/w2 0.01 0.01 0.01 0.01xi/w2 0.01 0.01 0.02w2 199.65 198.47 198.27xi 1.00 2.44 3.74

fi/w2 0.49 1.16 1.62vi/w2 9.81 9.33 8.17 6.55

xi/w2 0.01 0.01 0.01 0.01xi/w2 0.01 0.01 0.02w2 199.32 199.31 199.35xi 1.00 2.44 3.74

fi/w2 0.49 1.16 1.62

vi/w2 9.80 9.32 8.16 6.54 xi/w2 0.01 0.01 0.01 0.01

xi/w2 0.01 0.01 0.02w2 199.53 199.53 199.54xi 1.00 2.44 3.74

fi/w2 0.49 1.16 1.62vi/w2 9.80 9.32 8.16 6.54

xi/w2 0.01 0.01 0.01 0.01xi/w2 0.01 0.01 0.02w2 199.57 199.58 199.58

W^2 = 199.58 W = 14.13

1956.11 1287.86 1256.16 1017.920.49 0.47 0.431.00 2.09 2.31

1135.60 1.00 1.09 0.22 -0.841956.11 1404.40 281.85 -858.45

551.71 1122.54 1140.30

7.00 -3.33 0.006.00 -1.74 0.005.00 0.01 0.004.00 1.47 0.003.00 2.31 0.002.00 2.09 0.001.00 1.00 0.000.00 0.00 0.00

1956.11 1287.86 1256.16 1017.920.49 0.47 0.431.00 1.40 0.26

2956.50 1.00 0.40 -1.15 -1.741956.11 519.75 -1442.45 -1769.83

1436.36 1962.20 327.38

7.00 2.69 0.006.00 -0.65 0.005.00 -2.14 0.004.00 -1.48 0.003.00 0.26 0.002.00 1.40 0.001.00 1.00 0.000.00 0.00 0.00

1956.11 1287.86 1256.16 1017.920.49 0.47 0.431.00 0.62 -0.94

5024.40 1.00 -0.38 -1.57 0.081956.11 -484.90 -1966.18 86.35

2441.00 1481.29 -2052.53

7.00 -1.10 0.006.00 1.23 0.005.00 0.54 0.004.00 -0.86 0.003.00 -0.94 0.002.00 0.62 0.001.00 1.00 0.000.00 0.00 0.00

1956.11 1287.86 1256.16 1017.920.49 0.47 0.431.00 -0.20 -0.88

7219.40 1.00 -1.20 -0.68 1.881956.11 -1551.30 -852.99 1914.12

3507.40 -698.30 -2767.11

7.00 0.77 0.006.00 -1.57 0.005.00 0.97 0.004.00 1.00 0.003.00 -0.88 0.00

2.00 -0.20 0.001.00 1.00 0.000.00 0.00 0.00

1956.11 1287.86 1256.16 1017.920.49 0.47 0.431.00 -1.02 0.51

9384.60 1.00 -2.02 1.54 -0.161956.11 -2603.21 1929.13 -164.83

4559.32 -4532.34 2093.96

7.00 -0.19 0.006.00 0.56 0.005.00 -0.83 0.004.00 0.35 0.003.00 0.51 0.002.00 -1.02 0.001.00 1.00 0.000.00 0.00 0.00

1956.11 1287.86 1256.16 1017.920.49 0.47 0.431.00 -1.84 3.27

11566.40 1.00 -2.84 5.11 -9.811956.11 -3663.20 6424.38 -9981.52

5619.31 -10087.58 16405.91

7.00 0.57 0.006.00 -2.19 0.005.00 5.09 0.004.00 -6.54 0.003.00 3.27 0.002.00 -1.84 0.001.00 1.00 0.000.00 0.00 0.00

14.13 0.44 0.38 2.50 291.20

7.77 1.00 202.16 202.16 202.16 8.327.11 0.92 264.06 241.90 221.59 7.626.18 0.80 264.06 210.10 167.17 6.625.02 0.65 264.06 170.74 110.40 5.383.74 0.48 425.10 204.71 98.58 4.012.44 0.31 463.40 145.80 45.87 2.621.00 0.13 476.11 61.30 7.89 1.07

1236.71 853.671.45

MODELO DINAMICO DIRECCION YWi Rigidez202.16

465.554264.06

740.056264.06

915.395264.06

1088.073425.10

1338.080463.40

1364.421476.11

1981.320

1 FORMA DE MODO : METODO DE STODOLO - VIANELLO

893.88 751.16 490.580.27 0.27 0.27 0.214.00 5.00 6.00 7.001.08 1.35 1.62 1.44

4.41 3.06 1.440.00 0.00 0.00

0.02 0.03 0.03 0.03190.49 192.83 199.97 212.46

5.00 6.17 7.14 7.841.35 1.66 1.92 1.62

5.20 3.54 1.620.01 0.00 0.00

0.03 0.03 0.04 0.04198.53 199.10 199.97 201.03

5.03 6.19 7.13 7.791.35 1.67 1.92 1.61

5.20 3.53 1.610.01 0.00 0.00

0.03 0.03 0.04 0.04199.44 199.55 199.67 199.78

5.02 6.18 7.12 7.771.35 1.67 1.92 1.60

5.19 3.52 1.600.01 0.00 0.00

0.03 0.03 0.04 0.04199.56 199.58 199.60 199.62

5.02 6.18 7.11 7.771.35 1.67 1.92 1.60

5.18 3.52 1.600.01 0.00 0.00

0.03 0.03 0.04 0.04199.58 199.59 199.59 199.59

T1 = 0.44

893.88 751.16 490.580.27 0.27 0.27 0.211.47 0.01 -1.74 -3.33

-1.46 -1.75 -1.59-1308.72 -1311.00 -779.23

450.28 2.28 -531.77 -779.21 -0.02

893.88 751.16 490.580.27 0.27 0.27 0.21

-1.48 -2.14 -0.65 2.69-0.66 1.49 3.34

-588.09 1117.76 1638.19-1181.74 -1705.85 -520.43 1638.16 0.02

893.88 751.16 490.580.27 0.27 0.27 0.21

-0.86 0.54 1.23 -1.101.39 0.69 -2.33

1246.49 518.74 -1143.95-1160.14 727.75 1662.69 -1143.94 0.00

893.88 751.16 490.580.27 0.27 0.27 0.211.00 0.97 -1.57 0.77

-0.03 -2.54 2.35-24.99 -1909.72 1151.15

1939.11 1884.73 -3060.87 1151.24 -0.09

893.88 751.16 490.580.27 0.27 0.27 0.210.35 -0.83 0.56 -0.19

-1.18 1.38 -0.74-1056.07 1040.23 -365.29

891.24 -2096.31 1405.53 -365.46 0.17

893.88 751.16 490.580.27 0.27 0.27 0.21

-6.54 5.09 -2.19 0.5711.62 -7.27 2.75

10388.32 -5461.84 1349.35-20369.85 15850.16 -6811.19 1348.20 1.14

0.701.001.241.371.391.551.07

7 7.76686294 06 7.11492561 05 6.17971772 04 5.02203358 03 3.74012529 02 2.4436182 01 1 00 0 0

199.58 14.13 0.4451135.60 33.70 0.1862956.50 54.37 0.1165024.40 70.88 0.0897219.40 84.97 0.0749384.60 96.87 0.065

11566.40 107.55 0.058

124.592751 490.583958190.771526227.016573 751.162883

258.51901319.023894 893.877757327.074344496.789038 1017.9186

1256.15658

1287.85523

1956.10684

476.11 463.40

123.063268 465.554165740.056194

193.213401 915.394761088.07336

225.351785 1338.079841364.42111

259.461168 1981.31981

320.980574

325.483865

494.498288

425.10 264.06 264.06

264.06 202.16

modelo dinamico y

PISO Wi RigidezPISO 7 202.16345

465.554165PISO 6 264.0639

740.056194PISO 5 264.0639

915.39476PISO 4 264.0639

1088.07336PISO 3 425.10265

1338.07984PISO 2 463.3995

1364.42111PISO 1 476.1135

1981.31981

1 forma de modo

1981.31981 1364.42111 1338.079840.4858301 0.47285663

1 20.4858301 0.94571327

8.21869704 7.73286694 6.787153670.00414809 0.00566751 0.00507231

0.00414809 0.0098156241.074687 203.757291

1 2.366292610.4858301 1.11891716

9.53020511 9.04437501 7.925457850.00481003 0.00662873 0.00592301

0.00481003 0.01143876207.898969 206.866261

1 2.37810550.4858301 1.12450296

9.54165622 9.05582612 7.931323160.00481581 0.00663712 0.00592739

0.00481581 0.01145293207.649465 207.641708

1 2.378194350.4858301 1.12454497

9.53312644 9.04729633 7.922751360.0048115 0.00663087 0.00592099

0.0048115 0.01144237207.83526 207.841042

1 2.378128190.4858301 1.12451369

9.53104144 9.04521134 7.920697650.00481045 0.00662934 0.00591945

0.00481045 0.01143979207.880726 207.882141

207.888301 14.4183321 0.43577754

demas formas de modo

1981.32 1364.42111 1338.079840.4858301 0.47285663

1 2.04354131147.5 1 1.0435413 0.23541059

1981.31981 1423.82977 314.998161557.490042 1108.83161

7 -3.41345548 06 -1.67752617 05 0.11538583 04 1.52590149 03 2.27895189 02 2.0435413 01 1 00 0 0

1981.31981 1364.42111 1338.079840.4858301 0.47285663

1 1.396988492963.3 1 0.39698849 -1.05810071

1981.31981 541.659472 -1415.823231439.66034 1957.4827

7 2.74133179 06 -0.85812445 05 -2.19661099 04 -1.36268376 03 0.33888777 02 1.39698849 01 1 00 0 0

1981.31981 1364.42111 1338.079840.4858301 0.47285663

1 0.641335685085.5 1 -0.35866432 -1.51829284

1981.31981 -489.369171 -2031.597032470.68898 1542.22786

7 -1.06845148 06 1.33920361 05 0.37411351 04 -0.96614955 03 -0.87695716 02 0.64133568 01 1 00 0 0

1981.31981 1364.42111 1338.079840.4858301 0.47285663

1 -0.152665927315.4 1 -1.15266592 -0.78069303

1981.31981 -1572.72172 -1044.629613554.04153 -528.092107

7 0.67408553 06 -1.51069597 05 1.13867523 04 0.82861977 03 -0.93335896 0

2 -0.15266592 01 1 00 0 0

1981.31981 1364.42111 1338.079840.4858301 0.47285663

1 -1.021834019756.4 1 -2.02183401 1.46140309

1981.31981 -2758.63299 1955.474014739.95281 -4714.107

7 -0.15313892 06 0.50899847 05 -0.88257235 04 0.52703346 03 0.43956908 02 -1.02183401 01 1 00 0 0

1981.31981 1364.42111 1338.079840.4858301 0.47285663

1 -1.8310896712029.14 1 -2.83108967 4.89697754

1981.31981 -3862.7985 6552.546925844.11831 -10415.3454

7 0.34996621 06 -1.51537551 05 3.94819595 04 -5.61476873 03 3.06588787 02 -1.83108967 01 1 00 0 0

465.554165

740.056194

915.39476

1088.07336

1338.07984

1364.42111

1981.31981

1088.07336 915.39476 740.0561940.43377821 0.26945296 0.2694529592

3 4 51.30133464 1.07781184 1.3472647959

5.48581903 4.40800719 3.06074240.00504177 0.00481542 0.00413582

0.01488791 0.01992968 0.0247450979201.505811 200.705669 202.060222943.58909778 4.80454166 5.96541672181.55687243 1.29459797 1.6073991885

6.36858543 5.07398746 3.466588270.00585308 0.00554295 0.00468422

0.01736176 0.02321485 0.0287577985206.72426 206.959854 207.436487643.6094928 4.82634305 5.9787166551

1.56571934 1.30047242 1.61098289486.36560382 5.0651314 3.454148510.00585034 0.00553328 0.00466741

0.01738032 0.02323066 0.0287639393207.677012 207.757432 207.854584933.60901404 4.82383491 5.97281660771.56551166 1.29979659 1.6093931096

6.3572397 5.05744311 3.448050.00584266 0.00552488 0.00465917

0.01736336 0.02320601 0.0287308906207.852324 207.870034 207.888321283.60871776 4.82302794 5.97129211471.56538314 1.29957915 1.6089823304

6.35531451 5.05573535 3.446753020.00584089 0.00552301 0.00465742

0.01735924 0.02320013 0.0287231403207.884531 207.887977 207.89133927

1088.07336 915.39476 740.0561940.43377821 0.26945296 0.26945295922.27895189 1.52590149 0.1153858291

-0.75305039 -1.41051566 -1.792912-819.374071 -1291.17865 -1326.85563

1134.37223 471.804577 35.676983426

1088.07336 915.39476 740.0561940.43377821 0.26945296 0.26945295920.33888777 -1.36268376 -2.196610988

-1.70157153 -0.83392723 1.33848654-1851.43465 -763.372618 990.555256

435.611421 -1088.06204 -1753.927874

1088.07336 915.39476 740.0561940.43377821 0.26945296 0.2694529592

-0.87695716 -0.96614955 0.374113514-0.08919239 1.34026306 0.9650901-97.0478627 1226.86978 714.220903

-1934.54917 -1323.91765 512.64887959

1088.07336 915.39476 740.0561940.43377821 0.26945296 0.2694529592

-0.93335896 0.82861977 1.13867522651.76197872 0.31005546 -2.649371191917.16211 283.823144 -1960.68356

-2961.79172 1633.33897 2244.5067071

1088.07336 915.39476 740.0561940.43377821 0.26945296 0.26945295920.43956908 0.52703346 -0.882572352

0.08746438 -1.40960581 1.3915708395.1676623 -1290.34577 1029.84061

1860.30634 1385.51343 -2320.186382

207.9 14.421147.5 33.872963.3 54.445085.5 71.317315.4 85.539756.4 98.77

12029.1 109.68

1088.07336 915.39476 740.0561940.43377821 0.26945296 0.26945295923.06588787 -5.61476873 3.9481959482

-8.6806566 9.56296468 -5.46357146-9445.19121 8753.88775 -4043.3499

15997.7381 -18199.079 12797.237659

465.5541650.26945296 0.20628923

6 71.61671776 1.44402464

1.444024640.00310173

0.02888092 0.03198266207.749599 218.8686336.96245927 7.710208541.87605525 1.59053302

1.590533020.00341643

0.03344202 0.03685845208.194928 209.1842796.95256179 7.662833981.87338835 1.58076016

1.580760160.00339544

0.03343135 0.03682679207.965313 208.0777026.94200259 7.647063411.87054314 1.57750686

1.577506860.00338845

0.03339006 0.03677851207.906239 207.9220366.93963259 7.643871911.86990454 1.57684849

1.576848490.00338704

0.03338056 0.0367676207.894427 207.89697

7 7.643871916 6.939632595 5.971292114 4.823027943 3.608717762 2.37812819

465.554165 1 10.26945296 0.20628923 0 0

-1.67752617 -3.41345548-1.73592931-808.169118

-518.686513 -808.022588 -0.14653011

465.5541650.26945296 0.20628923

-0.85812445 2.741331793.599456241675.74184

-685.186587 1675.7676 -0.02575481

465.5541650.26945296 0.206289231.33920361 -1.06845148

-2.40765509-1120.89385

1835.11476 -1120.89525 0.00139328

465.5541650.26945296 0.20628923

-1.51069597 0.674085532.1847815

1017.13412-2977.81769 1017.25456 -0.12043922

465.5541650.26945296 0.206289230.50899847 -0.15313892

-0.6621374-308.260823

1338.10143 -308.213567 -0.04725632

0.440.190.120.090.070.060.06

465.5541650.26945296 0.20628923

-1.51537551 0.349966211.86534172868.417608

-4911.76751 868.434883 -0.017275

476.1135

00000000

463.3995 425.10265 264.0639

264.0639 264.0639 202.16345

1 FORMA DE MODO DIRECCION X : METODO DE STODOLO - VIANELLO

K 1956.11 1287.86 1256.16 1017.92 893.88 751.16M 0.49 0.47 0.43 0.27 0.27xi 1.00 2.00 3.00 4.00 5.00

fi/w2 0.49 0.95 1.30 1.08 1.35vi/w2 8.22 7.73 6.79 5.49 4.41 3.06

xi/w2 0.00 0.01 0.01 0.01 0.00 0.00xi/w2 0.00 0.01 0.02 0.02 0.03w2 238.01 195.96 192.20 190.49 192.83xi 1.00 2.43 3.72 5.00 6.17

fi/w2 0.49 1.15 1.61 1.35 1.66vi/w2 9.80 9.31 8.16 6.55 5.20 3.54

xi/w2 0.01 0.01 0.01 0.01 0.01 0.00xi/w2 0.01 0.01 0.02 0.03 0.03w2 199.65 198.47 198.27 198.53 199.10xi 1.00 2.44 3.74 5.03 6.19

fi/w2 0.49 1.16 1.62 1.35 1.67vi/w2 9.81 9.33 8.17 6.55 5.20 3.53

xi/w2 0.01 0.01 0.01 0.01 0.01 0.00xi/w2 0.01 0.01 0.02 0.03 0.03w2 199.32 199.31 199.35 199.44 199.55xi 1.00 2.44 3.74 5.02 6.18

fi/w2 0.49 1.16 1.62 1.35 1.67vi/w2 9.80 9.32 8.16 6.54 5.19 3.52

xi/w2 0.01 0.01 0.01 0.01 0.01 0.00xi/w2 0.01 0.01 0.02 0.03 0.03w2 199.53 199.53 199.54 199.56 199.58xi 1.00 2.44 3.74 5.02 6.18

fi/w2 0.49 1.16 1.62 1.35 1.67vi/w2 9.80 9.32 8.16 6.54 5.18 3.52

xi/w2 0.01 0.01 0.01 0.01 0.01 0.00xi/w2 0.01 0.01 0.02 0.03 0.03

w2 199.57 199.58 199.58 199.58 199.59

W^2 = 199.58 W1= 14.13 T1 = 0.44

1 FORMA DE MODO DIRECCION X : METODO DE STODOLO - VIANELLO

490.580.27 0.216.00 7.001.62 1.44

1.440.00

0.03 0.03199.97 212.46

7.14 7.841.92 1.62

1.620.00

0.04 0.04199.97 201.03

7.13 7.791.92 1.61

1.610.00

0.04 0.04199.67 199.78

7.12 7.771.92 1.60

1.600.00

0.04 0.04199.60 199.62

7.11 7.771.92 1.60

1.600.00

0.04 0.04

199.59 199.59

METODO DE HOLZER - DIRECCION X

2 FORMA DE MODO

W^2 K 1956.11 1287.86 1256.16 1017.92

1134.60

M 0.49 0.47 0.43X 1.00 2.09 2.31

1.00 1.09 0.22 -0.84V 1956.11 1404.40 281.85 -858.45F 551.71 1122.54 1140.30

3 FORMA DE MODO

W^2 K 1956.11 1287.86 1256.16 1017.92

2955.50

M 0.49 0.47 0.43X 1.00 1.40 0.26

1.00 0.40 -1.15 -1.74V 1956.11 519.75 -1442.45 -1769.83F 1436.36 1962.20 327.38

4 FORMA DE MODO

W^2 K 1956.11 1287.86 1256.16 1017.92

5023.40

M 0.49 0.47 0.43X 1.00 0.62 -0.94

1.00 -0.38 -1.57 0.08V 1956.11 -484.90 -1966.18 86.35F 2441.00 1481.29 -2052.53

5 FORMA DE MODO

W^2 K 1956.11 1287.86 1256.16 1017.92

7218.40

M 0.49 0.47 0.43X 1.00 -0.20 -0.88

1.00 -1.20 -0.68 1.88V 1956.11 -1551.30 -852.99 1914.12F 3507.40 -698.30 -2767.11

6 FORMA DE MODO

W^2 K 1956.11 1287.86 1256.16 1017.92

9383.60

M 0.49 0.47 0.43X 1.00 -1.02 0.51

1.00 -2.02 1.54 -0.16

DX

DX

DX

DX

DX

9383.60V 1956.11 -2603.21 1929.13 -164.83F 4559.32 -4532.34 2093.96

7 FORMA DE MODO

W^2 K 1956.11 1287.86 1256.16 1017.92

11565.40

M 0.49 0.47 0.43X 1.00 -1.84 3.27

1.00 -2.84 5.11 -9.81V 1956.11 -3663.20 6424.38 -9981.52F 5619.31 -10087.58 16405.91

DX

METODO DE HOLZER - DIRECCION X

893.88 751.16 490.58 R0.27 0.27 0.27 0.211.47 0.01 -1.74 -3.33

-1.46 -1.75 -1.59-1308.72 -1311.00 -779.23

450.28 2.28 -531.77 -779.21 -0.02

893.88 751.16 490.58 R0.27 0.27 0.27 0.21-1.48 -2.14 -0.65 2.69

-0.66 1.49 3.34-588.09 1117.76 1638.19

-1181.74 -1705.85 -520.43 1638.16 0.02

893.88 751.16 490.58 R0.27 0.27 0.27 0.21-0.86 0.54 1.23 -1.10

1.39 0.69 -2.331246.49 518.74 -1143.95

-1160.14 727.75 1662.69 -1143.94 0.00

893.88 751.16 490.58 R0.27 0.27 0.27 0.211.00 0.97 -1.57 0.77

-0.03 -2.54 2.35-24.99 -1909.72 1151.15

1939.11 1884.73 -3060.87 1151.24 -0.09

893.88 751.16 490.58 R0.27 0.27 0.27 0.210.35 -0.83 0.56 -0.19

-1.18 1.38 -0.74

-1056.07 1040.23 -365.29891.24 -2096.31 1405.53 -365.46 0.17

893.88 751.16 490.58 R0.27 0.27 0.27 0.21-6.54 5.09 -2.19 0.57

11.62 -7.27 2.7510388.32 -5461.84 1349.35

-20369.85 15850.16 -6811.19 1348.20 1.14

FORMAS DE MODO DIRECCION X

1 FORMA DE MODO 2 FORMA DE MODO

U7 = 7.77 U7 = -3.33U6 = 7.11 U6 = -1.74U5 = 6.18 U5 = 0.01U4 = 5.02 U4 = 1.47U3 = 3.74 U3 = 2.31U2 = 2.44 U2 = 2.09U1 = 1.00 U1 = 1.00

3 FORMA DE MODO 4 FORMA DE MODO

U7 = 2.69 U7 = -1.10U6 = -0.65 U6 = 1.23U5 = -2.14 U5 = 0.54U4 = -1.48 U4 = -0.86U3 = 0.26 U3 = -0.94U2 = 1.40 U2 = 0.62U1 = 1.00 U1 = 1.00

5 FORMA DE MODO 6 FORMA DE MODO

U7 = 0.77 U7 = -0.19U6 = -1.57 U6 = 0.56U5 = 0.97 U5 = -0.83U4 = 1.00 U4 = 0.35U3 = -0.88 U3 = 0.51U2 = -0.20 U2 = -1.02U1 = 1.00 U1 = 1.00

7 FORMA DE MODOMODO W

U7 = 0.57 1 14.13U6 = -2.19 2 33.70U5 = 5.09 3 54.37U4 = -6.54 4 70.88U3 = 3.27 5 84.97U2 = -1.84 6 96.87U1 = 1.00 7 107.55

FORMAS DE MODO DIRECCION X

T0.4450.1860.1160.0890.0740.0650.058

1 FORMA DE MODO DIRECCION Y : METODO DE STODOLO - VIANELLO

K 1981.32 1364.42 1338.08 1088.07 915.39 740.06M 0.49 0.47 0.43 0.27 0.27xi 1.00 2.00 3.00 4.00 5.00

fi/w2 0.49 0.95 1.30 1.08 1.35vi/w2 8.22 7.73 6.79 5.49 4.41 3.06

xi/w2 0.00 0.01 0.01 0.01 0.00 0.00xi/w2 0.00 0.01 0.01 0.02 0.02w2 241.07 203.76 201.51 200.71 202.06xi 1.00 2.37 3.59 4.80 5.97

fi/w2 0.49 1.12 1.56 1.29 1.61vi/w2 9.53 9.04 7.93 6.37 5.07 3.47

xi/w2 0.00 0.01 0.01 0.01 0.01 0.00xi/w2 0.00 0.01 0.02 0.02 0.03w2 207.90 206.87 206.72 206.96 207.44xi 1.00 2.38 3.61 4.83 5.98

fi/w2 0.49 1.12 1.57 1.30 1.61vi/w2 9.54 9.06 7.93 6.37 5.07 3.45

xi/w2 0.00 0.01 0.01 0.01 0.01 0.00xi/w2 0.00 0.01 0.02 0.02 0.03w2 207.65 207.64 207.68 207.76 207.85xi 1.00 2.38 3.61 4.82 5.97

fi/w2 0.49 1.12 1.57 1.30 1.61vi/w2 9.53 9.05 7.92 6.36 5.06 3.45

xi/w2 0.00 0.01 0.01 0.01 0.01 0.00xi/w2 0.00 0.01 0.02 0.02 0.03w2 207.84 207.84 207.85 207.87 207.89xi 1.00 2.38 3.61 4.82 5.97

fi/w2 0.49 1.12 1.57 1.30 1.61vi/w2 9.53 9.05 7.92 6.36 5.06 3.45

xi/w2 0.00 0.01 0.01 0.01 0.01 0.00xi/w2 0.00 0.01 0.02 0.02 0.03

w2 207.88 207.88 207.88 207.89 207.89

W^2 = 207.89 W1= 14.42 T1 = 0.44

1 FORMA DE MODO DIRECCION Y : METODO DE STODOLO - VIANELLO

465.550.27 0.216.00 7.001.62 1.44

1.440.00

0.03 0.03207.75 218.87

6.96 7.711.88 1.59

1.590.00

0.03 0.04208.19 209.18

6.95 7.661.87 1.58

1.580.00

0.03 0.04207.97 208.08

6.94 7.651.87 1.58

1.580.00

0.03 0.04207.91 207.92

6.94 7.641.87 1.58

1.580.00

0.03 0.04

207.89 207.90

METODO DE HOLZER - DIRECCION Y

2 FORMA DE MODO

W^2 K 1981.32 1364.42 1338.08 1088.07

1147.50

M 0.49 0.47 0.43X 1.00 2.04 2.28

1.00 1.04 0.24 -0.75V 1981.32 1423.83 315.00 -819.37F 557.49 1108.83 1134.37

3 FORMA DE MODO

W^2 K 1981.32 1364.42 1338.08 1088.07

2963.30

M 0.49 0.47 0.43X 1.00 1.40 0.34

1.00 0.40 -1.06 -1.70V 1981.32 541.66 -1415.82 -1851.43F 1439.66 1957.48 435.61

4 FORMA DE MODO

W^2 K 1981.32 1364.42 1338.08 1088.07

5085.50

M 0.49 0.47 0.43X 1.00 0.64 -0.88

1.00 -0.36 -1.52 -0.09V 1981.32 -489.37 -2031.60 -97.05F 2470.69 1542.23 -1934.55

5 FORMA DE MODO

W^2 K 1981.32 1364.42 1338.08 1088.07

7315.40

M 0.49 0.47 0.43X 1.00 -0.15 -0.93

1.00 -1.15 -0.78 1.76V 1981.32 -1572.72 -1044.63 1917.16F 3554.04 -528.09 -2961.79

6 FORMA DE MODO

W^2 K 1981.32 1364.42 1338.08 1088.07

9756.40

M 0.49 0.47 0.43X 1.00 -1.02 0.44

1.00 -2.02 1.46 0.09

DX

DX

DX

DX

DX

9756.40V 1981.32 -2758.63 1955.47 95.17F 4739.95 -4714.11 1860.31

7 FORMA DE MODO

W^2 K 1981.32 1364.42 1338.08 1088.07

12029.14

M 0.49 0.47 0.43X 1.00 -1.83 3.07

1.00 -2.83 4.90 -8.68V 1981.32 -3862.80 6552.55 -9445.19F 5844.12 -10415.35 15997.74

DX

METODO DE HOLZER - DIRECCION Y

915.39 740.06 465.55 R0.27 0.27 0.27 0.211.53 0.12 -1.68 -3.41

-1.41 -1.79 -1.74-1291.18 -1326.86 -808.17

471.80 35.68 -518.69 -808.02 -0.15

915.39 740.06 465.55 R0.27 0.27 0.27 0.21-1.36 -2.20 -0.86 2.74

-0.83 1.34 3.60-763.37 990.56 1675.74

-1088.06 -1753.93 -685.19 1675.77 -0.03

915.39 740.06 465.55 R0.27 0.27 0.27 0.21-0.97 0.37 1.34 -1.07

1.34 0.97 -2.411226.87 714.22 -1120.89

-1323.92 512.65 1835.11 -1120.90 0.00

915.39 740.06 465.55 R0.27 0.27 0.27 0.210.83 1.14 -1.51 0.67

0.31 -2.65 2.18283.82 -1960.68 1017.13

1633.34 2244.51 -2977.82 1017.25 -0.12

915.39 740.06 465.55 R0.27 0.27 0.27 0.210.53 -0.88 0.51 -0.15

-1.41 1.39 -0.66

-1290.35 1029.84 -308.261385.51 -2320.19 1338.10 -308.21 -0.05

915.39 740.06 465.55 R0.27 0.27 0.27 0.21-5.61 3.95 -1.52 0.35

9.56 -5.46 1.878753.89 -4043.35 868.42

-18199.08 12797.24 -4911.77 868.43 -0.02

FORMAS DE MODO DIRECCION Y

1 FORMA DE MODO 2 FORMA DE MODO

U7 = 7.64 U7 = -3.41U6 = 6.94 U6 = -1.68U5 = 5.97 U5 = 0.12U4 = 4.82 U4 = 1.53U3 = 3.61 U3 = 2.28U2 = 2.38 U2 = 2.04U1 = 1.00 U1 = 1.00

3 FORMA DE MODO 4 FORMA DE MODO

U7 = 2.74 U7 = -1.07U6 = -0.86 U6 = 1.34U5 = -2.20 U5 = 0.37U4 = -1.36 U4 = -0.97U3 = 0.34 U3 = -0.88U2 = 1.40 U2 = 0.64U1 = 1.00 U1 = 1.00

5 FORMA DE MODO 6 FORMA DE MODO

U7 = 0.67 U7 = -0.15U6 = -1.51 U6 = 0.51U5 = 1.14 U5 = -0.88U4 = 0.83 U4 = 0.53U3 = -0.93 U3 = 0.44U2 = -0.15 U2 = -1.02U1 = 1.00 U1 = 1.00

7 FORMA DE MODOMODO W

U7 = 0.35 1 14.42U6 = -1.52 2 33.87U5 = 3.95 3 54.44U4 = -5.61 4 71.31U3 = 3.07 5 85.53U2 = -1.83 6 98.77U1 = 1.00 7 109.68

FORMAS DE MODO DIRECCION Y

7.64 -3.41 2.74 -1.076.94 -1.68 -0.86 1.345.97 0.12 -2.20 0.374.82 1.53 -1.36 -0.973.61 2.28 0.34 -0.882.38 2.04 1.40 0.641.00 1.00 1.00 1.00

1.00 1.00 1.00 1.002.38 2.04 1.40 0.643.61 2.28 0.34 -0.884.82 1.53 -1.36 -0.975.97 0.12 -2.20 0.376.94 -1.68 -0.86 1.347.64 -3.41 2.74 -1.07

1 1 1 12.37812819 2.0435413 1.39698849 0.641335683.60871776 2.27895189 0.33888777 0.876957164.82302794 1.52590149 1.36268376 0.966149555.97129211 0.11538583 2.19661099 0.374113516.93963259 1.67752617 0.85812445 1.339203617.64387191 3.41345548 2.74133179 1.06845148

7.64387191 3.41345548 2.74133179 1.33920361

0.13 0.29 0.36 0.750.31 0.60 0.51 0.480.47 0.67 0.12 -0.650.63 0.45 -0.50 -0.72

T 0.78 0.03 -0.80 0.280.44 0.91 -0.49 -0.31 1.000.19 1.00 -1.00 1.00 -0.800.120.090.070.060.06

0.67 -0.15 0.35-1.51 0.51 -1.521.14 -0.88 3.950.83 0.53 -5.61

-0.93 0.44 3.07-0.15 -1.02 -1.831.00 1.00 1.00

1.00 1.00 1.00-0.15 -1.02 -1.83-0.93 0.44 3.070.83 0.53 -5.611.14 -0.88 3.95

-1.51 0.51 -1.520.67 -0.15 0.35

1 1 10.15266592 1.02183401 1.831089670.93335896 0.43956908 3.065887870.82861977 0.52703346 5.614768731.13867523 0.88257235 3.948195951.51069597 0.50899847 1.515375510.67408553 0.15313892 0.34996621

1.51069597 1.02183401 5.61476873

0.66 0.98 0.18-0.10 -1.00 -0.33-0.62 0.43 0.550.55 0.52 -1.000.75 -0.86 0.70

-1.00 0.50 -0.270.45 -0.15 0.06

Hoja1Hoja21FORMXOTRASFORMASXRESX1FORMYOTRASFORMASYRESY