Newmark ,Holzer (5pisos) y Demas ..Rigidezoo

metodo de neumaRk sireve para calcular la frecuencia y el periodo Gravedad = 981

cm/seg

pri METDO NEUMARK

1

1 2 3 4 5 6

Rig (ton/cm) M (ton seg2/cm) x F/w2 V/w2 ∆y/w2 y/w2 w2

PRIMER PISO 200 0.4077472 1 0.4077472 3.46585117 0.01732926 0.01732926 57.7059

SEGUNDO PISO 200 0 .4 0 7 7 4 7 2 2 0.81549439 3.05810398 0.01529052 0.03261978 6 1 .3 1 2 5 segu

METDO NEUMARK

2

1 2 3 4 5 6


PRIMER PISO 200

SEGUNDO PISO 200 0.4077472 1

0.4077472 3.07459375 0.01537297

0 .4 0 7 7 4 7 2 1.88235294 0.76752414 2.66684656 0.01333423

0.01537297 65.0492

0 .0 2 8 7 0 7 2 6 5 .5 7 0 8

terc METDO NEUMARK

3

1 2 3 4 5 6


PRIMER PISO 200

SEGUNDO PISO 200 0.4077472 1

0.4077472 3.02413333 0.01512067

0 .4 0 7 7 4 7 2 1.86738176 0.76141968 2.61638613 0.01308193

0.01512067 66.1347

0 .0 2 8 2 0 2 6 6 6 .2 1 3 1

cua METDO NEUMARK

4

1 2 3 4 5 6


PRIMER PISO 200

SEGUNDO PISO 200 0.4077472 1

0.4077472 3.01518628 0.01507593

0 .4 0 7 7 4 7 2 1.86516891 0.76051739 2.60743909 0 .0 1 3 0 3 7 2

0.01507593 66.3309

0.02811313 6 6 .3 4 5 1

qui METDO NEUMARK

5

1 2 3 4 5 6


PRIMER PISO 200

SEGUNDO PISO 200 0.4077472 1

0.4077472 3.01335807 0.01506679

0 .4 0 7 7 4 7 2 1.86476882 0.76035426 2.60561088 0.01302805

0.01506679 66.3711

0.02809484 6 6 .3 7 4 1

se METDO NEUMARK

6

1 2 3 4 5 6


PRIMER PISO 200

SEGUNDO PISO 200 0.4077472 1

0.4077472 3.01296312 0.01506482

0 .4 0 7 7 4 7 2 1.86468678 0.76032081 2.60521593 0.01302608

0.01506482 66.3798

0 .0 2 8 0 9 0 9 6 6 .3 8 0 5

seti METDO NEUMARK

7

1 2 3 4 5 6


PRIMER PISO 200

SEGUNDO PISO 200 0.4077472 1

0.4077472 3.01287616 0.01506438

0 .4 0 7 7 4 7 2 1.86466904 0.76031357 2.60512896 0.01302564

0.01506438 66.3818

0.02809003 6 6 .3 8 1 9

oct METDO NEUMARK

8

1 2 3 4 5 6


PRIMER PISO 200

SEGUNDO PISO 200 0.4077472 1

0.4077472 3.01285689 0.01506428

0 .4 0 7 7 4 7 2 1.86466513 0.76031198 2.60510969 0.01302555

0.01506428 66.3822

0.02808983 6 6 .3 8 2 2

nov METDO NEUMARK

9

1 2

Rig (ton/cm) M (ton seg2/cm) x F/w2

PRIMER PISO 200

SEGUNDO PISO 200 0.4077472 1

0.4077472

0 .4 0 7 7 4 7 2 1.86466427 0.76031163

qui METDO NEUMARK

5

1 2 3 4 5 6


PRIMER PISO 200

SEGUNDO PISO 200 0.4077472 1

0.4077472 3.01335807 0.01506679

0 .4 0 7 7 4 7 2 1.86476882 0.76035426 2.60561088 0.01302805

0.01506679 66.3711

0.02809484 6 6 .3 7 4 1

se METDO NEUMARK

6

1 2 3 4 5 6


PRIMER PISO 200

SEGUNDO PISO 200 0.4077472 1

0.4077472 3.01296312 0.01506482

0 .4 0 7 7 4 7 2 1.86468678 0.76032081 2.60521593 0.01302608

0.01506482 66.3798

0 .0 2 8 0 9 0 9 6 6 .3 8 0 5

seti METDO NEUMARK

7

1 2 3 4 5 6


PRIMER PISO 200

SEGUNDO PISO 200 0.4077472 1

0.4077472 3.01287616 0.01506438

0 .4 0 7 7 4 7 2 1.86466904 0.76031357 2.60512896 0.01302564

0.01506438 66.3818

0.02809003 6 6 .3 8 1 9

oct METDO NEUMARK

8

1 2 3 4 5 6


PRIMER PISO 200

SEGUNDO PISO 200 0.4077472 1

0.4077472 3.01285689 0.01506428

0 .4 0 7 7 4 7 2 1.86466513 0.76031198 2.60510969 0.01302555

0.01506428 66.3822

0.02808983 6 6 .3 8 2 2

nov METDO NEUMARK

9

1 2

Rig (ton/cm) M (ton seg2/cm) x F/w2

PRIMER PISO 200

SEGUNDO PISO 200 0.4077472 1

0.4077472

0 .4 0 7 7 4 7 2 1.86466427 0.76031163

3 4 5 6

V/w2 ∆y/w2 y/w2 w2

3.01285261 0.01506426

2.60510541 0.01302553 0.01506426 66.3823

0.02808979 6 6 .3 8 2 3

deci METDO NEUMARK

10

1 2 3 4 5 6


PRIMER PISO 200

SEGUNDO PISO 200 0.4077472 1

0.4077472 3.01285166 0.01506426

0 .4 0 7 7 4 7 2 1.86466407 0.76031155 2.60510446 0.01302552

0.01506426 66.3823

0.02808978 6 6 .3 8 2 3

onc METDO NEUMARK

11

1 2 3 4 5 6


PRIMER PISO 200

SEGUNDO PISO 200 0.4077472 1

0.4077472 3.01285145 0.01506426

0 .4 0 7 7 4 7 2 1.86466403 0.76031153 2.60510425 0.01302552

0.01506426 66.3823

0.02808978 6 6 .3 8 2 3

doc METDO NEUMARK

12

1 2 3 4 5 6


PRIMER PISO 200

SEGUNDO PISO 200 0.4077472 1

0.4077472 3.0128514 0.01506426

0 .4 0 7 7 4 7 2 1.86466402 0.76031153 2.60510421 0.01302552

0.01506426 66.3823

0.02808978 6 6 .3 8 2 3

trec METDO NEUMARK

13

1 2 3 4 5 6


PRIMER PISO 200

SEGUNDO PISO 200 0.4077472 1

0.4077472 3.01285139 0.01506426

0 .4 0 7 7 4 7 2 1.86466402 0.76031153 2.60510419 0.01302552

0.01506426 66.3823

0.02808978 6 6 .3 8 2 3

cator

METDO NEUMARK

14

1 2 3 4 5 6


PRIMER PISO 200

SEGUNDO PISO 200 0.4077472 1

0.4077472 3.01285139 0.01506426

0 .4 0 7 7 4 7 2 1.86466402 0.76031153 2.60510419 0.01302552

0.01506426 66.3823

0.02808978 6 6 .3 8 2 3

quinc METDO NEUMARK

15

1 2 3 4 5 6


PRIMER PISO 200

SEGUNDO PISO 200 0.4077472 1

0.4077472 3.01285139 0.01506426

0 .4 0 7 7 4 7 2 1.86466402 0.76031153 2.60510419 0.01302552

0.01506426 66.3823

0.02808978 6 6 .3 8 2 3

DATOS

era iteracion TERCER PISO 200 0.3058104 3 0.91743119 2.24260958 0.01121305 0.04383282 68.4419 nda iteracion TERCER PISO 200 0.3058104 2.52941176 0.77352042 1.89932242 0.00949661 0.03820381 66.2084

era iteracion TERCER PISO 200 0.3058104 2.48512921 0.75997835 1.85496645 0.00927483 0.03747743 66.3100

rta iteracion TERCER PISO 200 0.3058104 2.4785567 0.75796841 1.84692169 0.00923461 0.03734774 66.3643

CUARTO PISO 80 0.2038736 4 0.81549439 1.32517839 0.01656473 0.06039755 66.2278

QUINTO PISO 50 0 .1 0 1 9 3 6 8 5 0.509684 0.509684 0.01019368 0.07059123 7 0 .8 3 0 3

CUARTO PISO 80 0.2038736 3.48529412 0.71055945 1.125802 0.01407253 0.05227634 66.6706

QUINTO PISO 50 0 .1 0 1 9 3 6 8 4.07352941 0.41524255 0.41524255 0.00830485 0.06058119 6 7 .2 4 0 8

7.3434

CUARTO PISO 80 0.2038736 3.40053632 0.69327958 1.0949881 0.01368735 0.05116478 66.4624

QUINTO PISO 50 0 .1 0 1 9 3 6 8 3 .9 4 0 7 6 0 6 0.40170852 0.40170852 0.00803417 0.05919895 6 6 .5 6 8 1

1.0854

CUARTO PISO 80 0.2038736 3.38376488 0.68986032 1.08895328 0.01361192 0.05095965 66.4009

QUINTO PISO 50 0 .1 0 1 9 3 6 8 3.91510194 0.39909296 0.39909296 0.00798186 0.05894151 6 6 .4 2 3 5

0.1962

C

nta iteracion TERCER PISO 200 0.3058104 2.47730865 0.75758674 1.84525662 0.00922628 0.03732113 66.3782

ta iteracion TERCER PISO 200 0.3058104 2.47704567 0.75750632 1.84489512 0.00922448 0.03731537 66.3814

ma iteracion TERCER PISO 200 0.3058104 2.47698822 0.75748875 1.84481539 0.00922408 0.0373141 66.3821

va iteracion TERCER PISO 200 0.3058104 2.47697553 0.75748487 1.84479771 0.00922399 0.03731382 66.3823

ena iteracion TERCER PISO 200 0.3058104 2.47697271 0.75748401

CUARTO PISO 80 0.2038736 3.3801992 0.68913337 1.08766987 0.01359587 0.050917 66.3865

QUINTO PISO 50 0.1019368 3.90964305 0.3985365 0.3985365 0.00797073 0.05888773 66.3915

0.0402

CUARTO PISO 80 0.2038736 3.37941924 0.68897436 1.0873888 0.01359236 0.05090773 66.3832

QUINTO PISO 50 0.1019368 3.90844565 0.39841444 0.39841444 0.00796829 0.05887602 66.3843

0.0087

CUARTO PISO 80 0.2038736 3.37924686 0.68893922 1.08732663 0.01359158 0.05090569 66.3825

QUINTO PISO 50 0.1019368 3.90818057 0.39838742 0.39838742 0.00796775 0.05887343 66.3828

0.001916036

CUARTO PISO 80 0.2038736 3.37920862 0.68893142 1.08731284 0.01359141 0.05090523 66.3823

QUINTO PISO 50 0.1019368 3.90812172 0.39838142 0.39838142 0.00796763 0.05887286 66.3824

0.000424549

CUARTO PISO 80 0.2038736 3.37920013 0.68892969

QUINTO PISO 50 0.1019368 3.90810865 0.39838009

1.84479379 0.00922397

1.08730978 0.01359137 0.03731376 66.3823

ima iteracion TERCER PISO 200 0.3058104 2.47697208 0.75748382 1.84479291 0.00922396 0.03731375 66.3823

ava iteracion TERCER PISO 200 0.3058104 2.47697195 0.75748378 1.84479272 0.00922396 0.03731374 66.3823



eava iteracion

0.39838009 0.0079676 0.05090513 66.3823

0.05887273 66.3823

0.000094257

CUARTO PISO 80 0.2038736 3.37919824 0.68892931 1.0873091 0.01359136 0.05090511 66.3823

QUINTO PISO 50 0.1019368 3.90810575 0.39837979 0.39837979 0.0079676 0.0588727 66.3823

0.000020940

CUARTO PISO 80 0.2038736 3.37919783 0.68892922 1.08730895 0.01359136 0.0509051 66.3823

QUINTO PISO 50 0.1019368 3.9081051 0.39837972 0.39837972 0.00796759 0.0588727 66.3823

0.000004653

CUARTO PISO 80 0.2038736 3.37919773 0.6889292 1.08730891 0.01359136 0.0509051 66.3823

QUINTO PISO 50 0.1019368 3.90810496 0.39837971 0.39837971 0.00796759 0.0588727 66.3823

0.000001034

CUARTO PISO 80 0.2038736 3.37919771 0.6889292 1.0873089 0.01359136 0.0509051 66.3823

QUINTO PISO 50 0.1019368 3.90810493 0.39837971 0.39837971 0.00796759 0.0588727 66.3823

0.000000230

TERCER PISO 200 0.3058104 2.47697191 0.75748376 1.84479267 0.00922396 0.03731374 66.3823

eava iteracion TERCER PISO 200 0.3058104 2.47697191 0.75748376 1.84479267 0.00922396 0.03731374 66.3823

CUARTO PISO 80 0.2038736 3.37919771 0.6889292 1.0873089 0.01359136 0.0509051 66.3823

QUINTO PISO 50 0.1019368 3.90810492 0.39837971 0.39837971 0.00796759 0.0588727 66.3823

0.000000051

CUARTO PISO 80 0.2038736 3.37919771 0.6889292 1.0873089 0.01359136 0.0509051 66.3823

QUINTO PISO 50 0.1019368 3.90810492 0.39837971 0.39837971 0.00796759 0.0588727 66.3823

0.000000011

DATOS DE 4 PISOS w1= w2= w3= w4= w5=

400 400 300 200 100

tn tn tn tn tn

k1= k2= k3= k4= k5=

200 200 200 80 50

NOTA : SOLO PONER LOS DATOS DEL CUADRO DEL TEXTO COLOR ROJO

UADRO DE VARIACIONES ( DIFERENCIAS ENTRE EL PRIMERO Y EL SEGUNDO RESULTADO)

4.2583

-2.233502608

0.4427376

-3.58949596

0.6424

0.101664919

-0.20814273

-0.67274752

0.1320

0.054287575

-0.06157885

-0.14457274

tn/cm tn/cm tn/cm tn/cm tn/cm

0.0289

0.013872585

-0.01440931

-0.03203846

0.0064

0.003193234

-0.003232

-0.00713121

0.001423674

0.000716776

-0.000719

-0.00158684

0.000316299

0.000159777

-0.00015975

-0.00035289

0.000070285

3.55426E-05

-3.5493E-05

-7.8448E-05

0.000015619

7.90137E-06

-7.8867E-06

-1.7436E-05

0.000003471

1.75616E-06

-1.7526E-06

-3.8751E-06

0.000000771

3.90297E-07

-3.8948E-07

-8.6121E-07

0.000000171

8.67393E-08

-8.6555E-08

-1.9139E-07

0.000000038

1.92767E-08

-1.9236E-08

-4.2535E-08

0.000000008

4.28398E-09

-4.2748E-09

-9.4528E-09

METODO DE HOLZER PODEMOS CLACULAR LAS TRES FRECUENCIAS Y LOS TRES PERIODOS

1 PISO w2 SUPUESTA

1 0.000

k (TON/CM2) M (TON-SEG2/CM) X ∆X V F

2 PISO

135344.820

135344.820 5.494

1.000 1.000

5.494 2.000 1.000

135344.820

135344.820 0.000

0.000

1 PISO w2 SUPUESTA

2 4000.000


2 PISO

135344.820

135344.820 5.494

1.000 1.000 135344.820

5.494 1.838 0.838 113367.246

21977.574

40386.384

1 PISO w2 SUPUESTA

3 8000.000


2 PISO

135344.820

135344.820 5.494

1.000 1.000 135344.820

5.494 1.675 0.675 91389.672

43955.148

73635.239

1 PISO w2 SUPUESTA

4 12000.000


2 PISO

135344.820

135344.820 5.494

1.000 1.000 135344.820

5.494 1.513 0.513 69412.098

65932.722

99746.565

1 PISO w2 SUPUESTA

5 16000.000


2 PISO

135344.820

135344.820 5.494

1.000 1.000 135344.820

5.494 1.350 0.350 47434.524

87910.296

118720.363

1 PISO w2 SUPUESTA

6

k (TON/CM2) M (TON-SEG2/CM) X ∆X

2 PISO

135344.820

135344.820 5.494

1.000 1.000

5.494 1.188 0.188

.

V F

135344.820

25456.950 109887.870

1 PISO w2 SUPUESTA

7 24000.000


2 PISO

135344.820

135344.820 5.494

1.000 1.000 135344.820

8 28000.000


131865.443

9 32000.000


135344.820

135344.820 5.494

1.000 1.000 135344.820

10 36000.000


153843.017

11 40000.000


135344.820

135344.820 5.494

1.000 1.000 135344.820

12


5.494 0.701 -0.299 -40475.771

175820.591

123240.271

2 PISO

135344.820

135344.820 5.494

1.000 1.000 135344.820

5.494 0.539 -0.461 -62453.345

197798.165

106526.426

2 PISO

135344.820

135344.820 5.494

1.000 1.000 135344.820

5.494 0.376 -0.624 -84430.919

219775.739

1 PISO w2 SUPUESTA

132816.587

2 PISO

1 PISO w2 SUPUESTA

5.494 0.863 -0.137 -18498.197

1 PISO w2 SUPUESTA

135255.374

2 PISO

1 PISO w2 SUPUESTA

5.494 1.026 0.026 3479.377

1 PISO w2 SUPUESTA

130556.633

82675.053

2 PISO

135344.820

135344.820 5.494

1.000 1.000

5.494 0.214 -0.786

.

V F

135344.820

-106408.493 241753.313

1 PISO w2 SUPUESTA

13 48000.000


2 PISO

135344.820

135344.820 5.494

1.000 1.000 135344.820

14 52000.000


263730.887

15 56000.000


135344.820

135344.820 5.494

1.000 1.000 135344.820

16 60000.000


285708.461

17 64000.000


135344.820

135344.820 5.494

1.000 1.000 135344.820

18


5.494 -0.273 -1.273 -172341.215

307686.035

-84105.723

2 PISO

135344.820

135344.820 5.494

1.000 1.000 135344.820

5.494 -0.436 -1.436 -194318.789

329663.609

-143644.739

2 PISO

135344.820

135344.820 5.494

1.000 1.000 135344.820

5.494 -0.598 -1.598 -216296.362

351641.182

1 PISO w2 SUPUESTA

-31704.236

2 PISO

1 PISO w2 SUPUESTA

5.494 -0.111 -1.111 -150363.641

1 PISO w2 SUPUESTA

13559.722

2 PISO

1 PISO w2 SUPUESTA

5.494 0.051 -0.949 -128386.067

1 PISO w2 SUPUESTA

51686.152

-210321.282

2 PISO

135344.820

135344.820 5.494

1.000 1.000

5.494 -0.760 -1.760

.

V F

135344.820

-238273.936 373618.756

1 PISO w2 SUPUESTA

19 72000.000


2 PISO

135344.820

135344.820 5.494

1.000 1.000 135344.820

20 76000.000


395596.330

21 80000.000


135344.820

135344.820 5.494

1.000 1.000 135344.820

22 84000.000


417573.904

23 88000.000


135344.820

135344.820 5.494

1.000 1.000 135344.820

24


5.494 -1.248 -2.248 -304206.658

439551.478

-548402.743

2 PISO

135344.820

135344.820 5.494

1.000 1.000 135344.820

5.494 -1.410 -2.410 -326184.232

461529.052

-650766.929

2 PISO

135344.820

135344.820 5.494

1.000 1.000 135344.820

5.494 -1.572 -2.572 -348161.806

483506.626

1 PISO w2 SUPUESTA

-453176.085

2 PISO

1 PISO w2 SUPUESTA

5.494 -1.085 -2.085 -282229.084

1 PISO w2 SUPUESTA

-365086.956

2 PISO

1 PISO w2 SUPUESTA

5.494 -0.923 -1.923 -260251.510

1 PISO w2 SUPUESTA

-284135.355

-760268.644

2 PISO

135344.820

135344.820 5.494

1.000 1.000

5.494 -1.735 -2.735

.

V F

135344.820

-370139.380 505484.200

-876907.887

1 PISO w2 SUPUESTA

25 96000.000


2 PISO

135344.820

135344.820 5.494

1.000 1.000 135344.820

5.494 -1.897 -2.897 -392116.954

527461.774

###########

1 PISO w2 SUPUESTA

26 98000.000


2 PISO

135344.820

135344.820 5.494

1.000 1.000 135344.820

5.494 -1.978 -2.978 -403105.741

538450.561

###########

1 PISO w2 SUPUESTA

27

k (TON/CM2) M (TON-SEG2/CM) X ∆X 100000.000 V F

2 PISO

135344.820

135344.820 5.494

1.000 1.000 135344.820

5.494 -2.060 -3.060 -414094.528

549439.348

###########

1 PISO w2 SUPUESTA

28


2 PISO

135344.820

135344.820 5.494

1.000 1.000 135344.820

5.494 -2.108 -3.108 -420687.800

556032.620

###########

1 PISO w2 SUPUESTA

29


2 PISO

135344.820

135344.820 5.494

1.000 1.000 135344.820

5.494 -2.157 -3.157 -427281.072

562625.892

###########

1 PISO w2 SUPUESTA

30


2 PISO

135344.820

135344.820 5.494

1.000 1.000

5.494 1.941 0.941

.

V F

135344.820

127377.949 7966.871

1 PISO w2 SUPUESTA

31 1500.000


2 PISO

135344.820

135344.820 5.494

1.000 1.000 135344.820

32 1550.000


8241.590

33 1600.000


15981.323

2 PISO

135344.820

135344.820 5.494

1.000 1.000 135344.820

5.494 1.937 0.937 126828.510

8516.310

1 PISO w2 SUPUESTA

5.494 1.939 0.939 127103.230

1 PISO w2 SUPUESTA

15464.783

16496.748

2 PISO

135344.820

135344.820 5.494

1.000 1.000 135344.820

5.494 1.935 0.935 126553.790

8791.030

17011.057

3 PISO

4 PISO

135344.820

5 PISO

135344.82 5.494 3.000

5.49439348 4.000

2.35474006 5.000

1.000

1.000

1.000

135344.820

135344.820

135344.820

0.000

3 PISO

135344.82 5.494 2.377

0.539 72980.863

135344.82

5.494 1.289

5.494 0.824

-0.907 -122782.382

4 PISO 135344.82

-79637.117 -43145.265

5 PISO RESIDUO

135344.82 5.49439348 -0.699

-1.111

RESIDUO 2.35474006 -1.145

-20921.648

5.494 0.412 -0.777

5 PISO 135344.82

-1.062 -143704.030

135344.820

-126360.389 -17742.794

5.49439348 -0.238

72418.191

RESIDUO 2.35474006 -0.628

28799.473

135344.82

3 PISO

5 PISO

-1.065 -144103.183

4 PISO

-0.527 -71285.839

-129631.039 8603.663

5.49439348 0.437

84969.243

135344.820

2.35474006 0.457

135344.82

-0.852 -115303.710

3 PISO

RESIDUO

59380.568

135344.82

-0.224 -30334.467

5 PISO

-0.894 -121027.377

4 PISO

135344.820

21404.841

5.49439348 1.351

79401.242

-56266.719

135344.82

-0.455 -61646.809

3 PISO

2.35474006 2.273

55605.572

5.494 1.806

RESIDUO

-0.258 -34861.878

4 PISO

0.131 17754.434

5 PISO

5.49439348 2.530

52237.168

135344.820

0.000

135344.82

0.153 20743.694

3 PISO

135344.820

0.000

4 PISO

135344.820

RESIDUO

135344.82

2.35474006 -1.242 -0.543

-

-105099.682

-150324.788 45225.106

-76825.156

3 PISO

135344.82 5.494 0.052

-0.974 -131775.997

5 PISO

-1.024 -138643.005

2.35474006 -1.049 -0.077 -10431.172

-128211.833

3 PISO

135344.82 5.494 -0.255

-1.118 -151314.784

5 PISO

-0.829 -112135.701

2.35474006 -0.680 0.403 54505.183

-166640.884

3 PISO

135344.82 5.494 -0.509

-1.210 -163716.042

5 PISO

-0.549 -74279.896

2.35474006 -0.233 0.825 111650.044

-185929.940

3 PISO

135344.82 5.494 -0.710

-1.249 -168979.771

5 PISO

-0.211 -28552.611

2.35474006 0.214 1.135 153602.442

-182155.053

3 PISO

135344.82 5.494 -0.858

-1.235 -167105.972

5 PISO

0.159 21569.134

2.35474006 0.595 1.295 175219.831

-153650.697

3 PISO

135344.82 5.494 -0.954

5 PISO RESIDUO

135344.82 5.49439348 -0.418

0.536

119130.581 56089.250

4 PISO

135344.820

RESIDUO

135344.82 5.49439348 -0.699

-188675.107

135462.938 18139.504

4 PISO

135344.820

RESIDUO

135344.82 5.49439348 -0.921

-140427.160

129174.418 -17524.374

4 PISO

135344.820

RESIDUO

135344.82 5.49439348 -1.057

-89436.146

99370.710 -44865.526

4 PISO

135344.820

RESIDUO

135344.82 5.49439348 -1.083

-39179.083

48872.333 -59303.505

4 PISO

135344.820

RESIDUO

135344.82 5.49439348 -0.972

6867.008

-1.168

-58500.117

4 PISO

135344.820

.

-73499.632

2.35474006 0.865 1.283

-158094.645

72608.320 -230702.965

-101009.772

3 PISO

4 PISO

135344.820

135344.82 5.494 -0.997

-1.049 -141945.789

135344.82

135344.82

-0.652 -88235.491

135344.82 5.494 -0.810

5 PISO

135344.82 5.494 -0.642

2.35474006 0.466 -109521.629 65903.847

5 PISO RESIDUO

135344.82 5.49439348 0.982

1.625 219870.138 -225845.218

RESIDUO

-0.322 -43617.783

4 PISO

2.35474006 0.055 -0.927 -125532.183

-133784.532

345402.320

3 PISO

4 PISO

135344.820

103042.787

260016.839

3 PISO

-68509.560

135344.82

1.599 216399.056

-0.044 -5975.080

2.35474006 0.781

5.49439348 0.789

-267073.106

RESIDUO

0.255 34533.227

4 PISO

135344.820

5 PISO

161927.086

3 PISO

-0.374 -50674.050

117941.743

5.49439348 0.526

-284695.805

-17428.890

135344.82

1.452 196460.313

135344.820

2.35474006 0.963

63018.076

5.494 -0.925

RESIDUO

0.743 100512.853

4 PISO

135344.820

5 PISO 135344.82

1.208 163530.930

3 PISO

36039.576 112131.947

5.49439348 0.221

-282190.334

135344.82 5.494 -0.422

0.339

1.095 148171.524

4 PISO 5.494 -0.988

RESIDUO 2.35474006 0.992

-27083.599

3 PISO

-0.877 -118659.404

5 PISO 135344.82

0.895 121087.925

135344.820

89617.445

5.49439348 -0.103

-263033.714

.

173618.091

8252.349

5 PISO

5.49439348 1.081 1.503

RESIDUO

135344.82 2.35474006 -0.401 -1.482

-

45861.418

203396.537 -157535.119

3 PISO

403940.092

5 PISO

135344.82 5.494 -0.148

0.775 104835.445

1.208 163501.236

3 PISO

2.35474006 -0.830 -1.889 -255727.058

419228.294

5 PISO

135344.82 5.494 0.178

1.263 170947.001

0.715 96707.212

3 PISO

2.35474006 -1.146 -2.038 -275899.430

372606.642

5 PISO

135344.82 5.494 0.557

1.804 244196.085

-0.003 -462.554

3 PISO

2.35474006 -1.247 -1.800 -243618.983

243156.428

5 PISO

135344.82 5.494 0.988

2.398 324582.697

5.49439348 0.017

2.35474006 -1.012 -1.028 -139185.606

456067.780

7700.523

135344.82 5.494 1.472

3.045 412106.838

2.35474006 -0.304 0.439 59359.233

-359196.628

135344.82 5.494 2.009

5 PISO RESIDUO

135344.82 5.49439348 -1.751

-3.761

122419.814 -63060.581

4 PISO

135344.820

RESIDUO

135344.82

-2.215 -299837.395

3 PISO

5 PISO

5.49439348 -0.743

711944.233

60925.409 -200111.014

4 PISO

135344.820

RESIDUO

135344.82

-0.971 -131485.083

3 PISO

-8748.669 -234870.314

4 PISO

135344.820

RESIDUO

135344.82 5.49439348 0.553

244658.639

-70778.835 -205120.595

4 PISO

135344.820

RESIDUO

135344.82 5.49439348 0.892

74239.789

-115056.813 -140670.246

4 PISO

135344.820

RESIDUO

135344.82 5.49439348 1.060

-58665.790

3.744

-64139.774

4 PISO

135344.820

.

-200543.555

2.35474006 1.029 2.780

506768.508

-508996.509 1015765.017

-885229.001

3 PISO

135344.82 5.494 2.599

4.496 608567.706

5 PISO

-5.633 -762439.447

2.35474006 3.157 6.191 837909.549

###########

3 PISO

135344.82 5.494 2.914

4.892 662143.878

5 PISO

-6.700 -906853.919

2.35474006 4.577 8.363 1131940.596

###########

3 PISO

135344.82 5.494 3.242

5.301 717504.432

5 PISO

-7.859 ###########

2.35474006 6.267 10.884 1473124.208

###########

3 PISO

135344.82 5.494 3.445

5.553 751577.268

5 PISO

-8.599 ###########

2.35474006 7.422 12.576 1702102.690

###########

3 PISO

135344.82 5.494 3.653

5.810 786292.481

5 PISO

-9.374 ###########

2.35474006 8.689 14.410 1950349.868

###########

3 PISO

135344.82 5.494 2.768

5 PISO RESIDUO

135344.82 5.49439348 3.432

0.664

-144713.421 2095063.288

4 PISO

135344.820

RESIDUO

135344.82 5.49439348 -5.722

2055029.624

-66505.140 1768607.830

4 PISO

135344.820

RESIDUO

135344.82 5.49439348 -5.154

1915414.810

-2643.090 1475767.298

4 PISO

135344.820

RESIDUO

135344.82 5.49439348 -4.617

1781147.660

75737.510 1056203.086

4 PISO

135344.820

RESIDUO

135344.82 5.49439348 -3.786

1568997.796

124283.704 713625.845

4 PISO

135344.820

RESIDUO

135344.82 5.49439348 -3.034

1371007.153

0.827

222822.672

4 PISO

135344.820

.

376232.492

2.35474006 3.894 0.462

111913.166

89860.782 22052.384

3 PISO

27341.905

4 PISO

135344.820

135344.82 5.494 2.760

0.821 111121.907

135344.82

0.815 110331.763

5.494 2.744

44033.600 13952.296

5 PISO RESIDUO

135344.82 5.49439348 3.376

0.631 85416.566 24126.168

RESIDUO 2.35474006 3.823

28906.708

135344.82

0.809 109542.734

5 PISO

0.428 57985.896

4 PISO

135344.820

13627.621

5.49439348 3.394

23439.159

46617.101

135344.82

0.642 86892.603

3 PISO

2.35474006 3.858

28129.284

5.494 2.752

RESIDUO

0.445 60244.723

4 PISO

135344.820

5 PISO 135344.82

0.653 88374.006

3 PISO

13295.137

5.49439348 3.413

22747.901

.

62518.877

2.35474006 3.787 0.412 55742.350

29674.216

41473.133 14269.217

DATOS DE 4 PISOS w1= w2=

53.9 53.9

tn tn

k1= k2=

135344.82 135344.82

tn/cm tn/cm

w3=

53.9

tn

k3=

135344.82

tn/cm

w4= w5=

53.9 23.1

tn tn

k4= k5=

135344.82 135344.82

tn/cm tn/cm

g=

9.81

cm/seg

NOTA : SOLO PONER LOS DATOS DEL CUADRO DEL TEXTO COLOR ROJO

NUMERO

w2

Residuos

150000.000

1

0

135344.820

2 3 4 5

4000 8000 12000 16000

-56266.719 -129631.039 -126360.389 -79637.117

6 7 8

20000 24000 28000

-14999.515 48872.333 99370.710

0.000

9

32000

129174.418

-50000.000

10 11 12 13 14

36000 40000 44000 48000 52000

135462.938 119130.581 84000.647 36039.576 -17428.890

100000.000

50000.000

04000 8000 12000 16000 20000 24000 28

-100000.000

-150000.000

0 4000 x -4000 x-2400 2825.4002

20000 24000 x -4000 x-2400 20939.3506

48000 52000 x -4000 x-2400 50696.1369

Series1 32000 0036000 40000 44000 48000 52000

135345 -56267 0 191612 56266.719 53.1544937

0.1182061

144.704356

0.04342084

225.158026

0.02790567

-15000 48872 0 -63872 -48872.333

36040 -17429 0 53468 17428.890

matriz de masa 0.407747197 M=

0.407747197 0.203873598

Matriz de rigidez K=

400 -200 0

matriz factiorizada en tre 80 5 K= -2.5 0

-200 280 0

0 80 80

-2.5 3.5 0

0 1 1

2

k-W *M=0 ECUACION GENRAL haciendo el artificio λ=w2/80 5-0.4077472λ -2.5 0

-2.5 -2.5-0.4077472λ -1

0 -1 1-0.203875λ

de la ecuacion general tenemos: λ1 = λ1 = λ1 =

2

1.52436289

w1 =

121.949031

7.038677302

2 w1 =

563.094184

17.18495981

2 w1 =

1374.79678

MODOS DE VIBRACION -44.72437561 -226.1000751 -279.2847675 -200 280 -80

0 80 80

121.949031

K=

400 -200 0

-200 280 80

0 80 80

563.094184

K=

400 -200 0

M=

M=

K=

400 -200 0

-200 280 -80

0 80 80

1374.79678 M=

FRECUENCIAS

PERIODOS

w1 =

11.0430535

T1=

0.56897173

w1 =

23.7296056

T1=

0.26478254

w1 =

37.0782522

T1=

0.16945743

0.4077472 0.4077472 0.2038736 49.7243756 0 0

0 49.7243756 0

0 0 24.8621878

350.275624 -200 0

-200 230.275624 -80

0 80 55.1378122

170.399925 -200 0

-200 50.3999249 80

0 80 -34.8000375

0.4077472 0.4077472 0.2038736 229.600075 0 0

0 229.600075 0

0 0 114.800038

0.4077472 0.4077472 0.2038736 560.569535 0 0

0 560.569535 0

0 0 280.284768

-160.569535 -200 0 -200 -280.569535 80 0 -80 -200.284768

MODOS Z1 Z2 Z3

Con kla ayuda de la hp 50G y asumiendo z1=1 = = =

0 0 0

MODOS Z1 Z2 Z3

z1 = z1 = z1 =

1 1.75135 2.5409

1 1.75137812 2.54109193


0 0 0

z1 = z1 = z1 =

1 0.852 -1.9586

1 0.85199962 1.95861771

MODOS Z1 Z2 Z3


0 0 0

z1 = z1 = z1 =

1 -0.803 0.321

1 -0.80284768 0.32068247

seccion cuadrada

E=

210000

H= b= h=

4 50 50

kg/cm2

I=

h

R = 5126.95313

m cm cm

520833.333 cm4

b

seccion circular E=

210000

H=

4

m

r=

50

cm

100

cm

diametro =

kg/cm2

Id=

4908738.52 cm4

I r=

4908738.52 cm4

R d= 48320.3948 R r= 48320.3948

seccion cuadrada

columna b= h= H= E=

50 50 4 210000

kc=

1302.0833 cm3

viga b= h= L=

cm cm m kg/cm2

kv= r=

R=

seccion cicular

columna r= --H= E= kc=

25 ----4 210000

766.9904 cm3

15656.019 kg/cm

kv= r=

R=

900.00

1.44676

viga b= h= L=

cm cm m kg/cm2

30 60 6

30 60 6

900.00

0.85221

8103.4472 kg/cm

columna b= h= H= E=

50 50 4 210000

cm cm m kg/cm2

viga b= h= L=

30 60 6

kg/cm

kg/cm kg/cm

cm cm m

cm3

Ic=

520833.333 cm4

Ic=

306796.158 cm4

cm cm m

cm3

cm cm m

muro e=

15

cm

0.04 0.09 0.15 0.22 0.32

0.21 0.24 0.07 -0.16 -0.87

0.25 0.31 -0.24 -0.1 0.22

0.23 0.29 0.13 -0.13 0.1

0.07 0.15 0.24 0.34 0.47

0.04 0.21 0.25 0.23 0.07

0.09 0.24 0.31 0.29 0.15

3.497 -0.0681 1.7248 3.0898 5.4965

0.15 0.07 -0.24 0.13 0.24

0.22 -0.16 -0.1 -0.13 0.34

3.497 0 0 0 0

24852.22 0 0 0 0 4.02379E-05 0 0 0 0 2.943 0 0

0 0

1.65646E-05 3.72703E-05 6.21172E-05 9.11052E-05 0.000132517

2708689.64 -1354344.82 0 0 0

-5.60854174 -5.60854174 -5.60854174 -16.8256252 56.08541735

0.32 -0.87 0.22 0.1 0.47

5.49 0 0 0 0

0 5.49 0 0 0

0 -0.0681 0 0 0

0 0 1.7248 0 0

0 0 0 3.0898 0

0 0 0 0 5.4965

0 209381.71 0 0 0

0 0 514651.043 0 0

0 0 0 799063.46 0

0 0 0 0 1002215.189

0 4.77597E-06 0 0 0

0 0 1.94306E-06 0 0

0 0 0 1.25147E-06 0

0 0 0 0 9.9779E-07

0 2.943 0

0 0 2.943

0 0 0

0 0 0

0 0 5.49 0 0

0 0 0 5.49 0

0 0 0 0 2.35

0 0

0 0

2.943 0

0 2.943

-2.0101E-07 -2.29726E-07 -6.70034E-08 1.53151E-07 8.32756E-07

2.46579E-06 3.05758E-06 -2.36716E-06 -9.86316E-07 2.1699E-06

2.61738E-06 3.30018E-06 1.47939E-06 -1.47939E-06 1.13799E-06

1.12983E-06 2.42107E-06 3.87371E-06 5.48775E-06 7.58601E-06

-1354344.82 2708689.64 -1354344.82 0 0

0 -1354344.82 2708689.64 -1354344.82 0

0 0 -1354344.82 2708689.64 -1354344.82

0 0 0 -1354344.82 1354344.82

-0.233346015 2.538043144 2.620097977 -0.25927335 8.148454304 3.39071503 -0.077782005 -9.217104048 1.541234104 -0.622256039 -2.404461926 -7.552047111 0.920420391 4.274598979 3.54483844

-0.218597286 -0.218597286 -0.218597286 -0.655791857 2.841764714

1.69892E-05 3.76196E-05 6.23005E-05 9.12878E-05 0.000132759

6.698100622 10.46255245 10.90137536 18.62078897 56.43877139

Newmark ,Holzer (5pisos) y Demas ..Rigidezoo

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