DINAMICO - STODOLA

8/16/2019 DINAMICO - STODOLA

1/45

ANALISIS DINA

DATOS DEL ANALISIS ESTATICO:

NIVEL PESO (P) Acel. Grav. MASA=(P/g)1 304.26 tn 9.80 m/seg2 31.0469

2 304.26 tn 9.80 m/seg2 31.0469

3 208.16 tn 9.80 m/seg2 21.2408

CALCLO DEL CENT!OIDE DE LA MASA DE LA PLANTA DE LA LOSA

CALCLO DEL CENT!O DE LA MASA DE LA

NIVEL Larg" (#) A$c%" (%) &' '

1 3 1.3 15 5.15

2 3 1.3 15 5.15

3 3 1.3 15 5.15

C""r*e$a*a+ *el Ce$,r" *e Ma+a:

1-. m

-.1- m

CA!ACTE!ISTICAS GEOMET!ICAS MASA INE!CIAL

E$ la *'recc'"$ &

2731.8175 0

= 2731.8175 0

= 231.1- 0

CALCLO DE LAS CA!ACTE!ISTICAS GEOMET!ICAS DE LOSA

NIVEL SECCION

1 1 0.00 0.00 0.00

∑=

Calcl" *e M"e$," *e I$erc'a 4ara la Pla$,a *e la L"+a: Secc'"$ !ec,a$glar:

=Σ

Σ=

A

Ai Xi X

.

=

Σ

Σ=

A

AiYiY

.

==12

* 3

1

hb Ixx

12

* 3

2

hb Ixx =

12

* 3

3

hb Ixx =

YYi−

X i X

−

( ) xA i2

XXi−

1

b Iyy =

2

b Iyy =

1

*3

b Iyy =


2/45

ICO

OSA

A &'5A' '5A'

309.00 m2 4635.00 1591.35

309.00 m2 4635.00 1591.35

309.00 m2 4635.00 1591.35

62. 2 136-. 00.-

E$ la *'recc'"$

= 23175 0

= 23175 0

= 23175 0

I77' I88' I77 I88

0.00 2731.8175 23175 2731.82 23175.00

( ) xAi2YYi −

2

* 3h

2

3h

3h


3/45


4/45

3 1 0.00 0.00 0.00

CALCLO DE MOMENTO DE INE!CIA POLA! GEOMET!ICO MOMENTO POLA! DE INE!CIA D

M"e$," *e I$erc'a P"lar Ge"9,r'c" ():

Ma+a I$erc'al

NIVEL PESO (P) A.G.= (g) MASA (M=P/g)

1 25906.82 m4 304.26 tn 6. 31.0;60

2 25906.82 m4 304.26 tn 6. 31.0;60

3 25906.82 m4 208.16 tn 6. 21.202

31.0469387755 0 0


5/45

0.00 2731.8175 23175 2731.82 23175.00

E LA MASA

M"e$," P"lar

A!EA (A)

309.00 m2 2;3.12163

309.00 m2 2;3.12163

309.00 m2 1.00106

0.475619

a Ø1=

=

1.078214

0.036415 1.000008

0.445113

a Ø2= 1.062209

M"e$," P"lar *e I$erc'a *e la Ma+a (IѲ):

IѲ=J*(M/A)

D*ØU

D*ØU

( ) xAi X i X Iyyi 2−Σ+Σ

AREA

Masa J I

*=

θ

Gravedad

Peso Masa =


6/45


7/45

3er ',erac'"$

0.015330

0.036705 N"ral'?ac'"$ *e a

0.034623

0er ',erac'"$0.015307

0.036659 N"ral'?ac'"$ *e a

0.034586

-," ',erac'"$

0.015305

0.036655 N"ral'?ac'"$ *e a

0.034583

;,a ',erac'"$

0.015305

0.036654 N"ral'?ac'"$ *e a

0.034583

a ',erac'"$

0.015305

0.036654 N"ral'?ac'"$ *e a

0.034583

va ',erac'"$

0.015304

0.036654 N"ral'?ac'"$ *e a

0.034582

6$a ',erac'"$

0.015305

0.036654 N"ral'?ac'"$ *e a

0.034583

1a ',erac'"$

0.0153040.036654 N"ral'?ac'"$ *e a

0 034582

D*Ø2

D*Ø3

D*Ø4

D*Ø5

D*Ø6

D*Ø7

D*Ø8

D*Ø9


8/45

0.442771

a Ø3=

=

1.060126

0.034623 1.000002

0.442575

a Ø4=

=

1.059932

0.034586 1.000014

0.442556

a Ø5=

=

1.059911

0.034583 1.000013

0.442550

a Ø6=

=

1.059898

0.034583 1.000002

0.442544

a Ø7=

=

1.059886

0.034583 0.999991

0.442552

a Ø8=

=

1.059904

0.034582 1.000008

0.442547

a Ø9=

=

1.059892

0.034583 0.999996

0.442554 a Ø10=

=

1.059910

0 034582 1 000014

D*ØU

D*ØU

D*ØU

D*ØU

D*ØU

D*ØU

D*ØU

D*ØU


9/45


10/45

11ava ',erac'"$

0.015305

0.036654 N"ral'?ac'"$ *e a

0.034583

1 "*" *e v'#rac'"$

0.442544

[D]*[Ø4] 1.059885

0.034583 0.999990

1= .30-3

w=

Brece$c'a

T= 2π=

1.1;0--;-2w

Calcl" *el 2*" "*" *e V'#rac'"$

D= mat!" #!nam!$a

S= mat!" #e %a!#&

M5= 'a t!" genea(!"a#a #e( )!me m&

M5= Ma,r'? ge$eral'?a*a *el 4r'er "*"

0.4425440468 1.0598851304 0.9999901566

S= 'at!" #e a!#&

1

1

D*Ø10

+1=

w2

['!*]=

[,]1 =

^∗=_ [∅]_^ ]" " [[ ∅]____________

]_1 − 1/ ^∗ )[ = (_ [∅]_1 [∅]_^ ][


11/45

0.442549

a Ø11=

=

1.059898

0.034583 1.000002

-.33-00600

segn#&s

* 13.7396379273 = ;2.16-3260

32.9061887522

21.2406072442

0 0160777977

0.442544

@ * 1 059885

D*ØU

seg-1


12/450.4425440468


13/45

1

1

1

1

0.9022406398 -0.234131931 -0.1511297594

-0.234131931 0.4392581847 -0.361953089

-0.2209009444 -0.5290538377 0.6585011755

D= mat!" #!nam!$a

0.000910 -0.001810 0.001516

-0.001810 -0.004440 0.005507

-0.003027 -0.005965 0.007661

1

ØU= 1

1

1er ',erac'"$

0.000616

-0.000743 N"ral'?ac'"$ *e a

-0.001330

2er ',erac'"$

-0.000084

-0.003865 N"ral'?ac'"$ *e a

-0.005730

3er ',erac'"$

-0.000308

-0.002486 N"ral'?ac'"$ *e a

-0.003595

0er ',erac'"$

-0.000342

-0.002281 N"ral'?ac'"$ *e a

-0.003276

-," ',erac'"$

-0.000351

-0.002227 N"ral'?ac'"$ *e a

-0.003193

;," ',erac'"$

[,]1 =

[D]2=

D*ØU

D*Ø1

D*Ø2

D*Ø3

D*Ø4


14/45

0.999990

0.0977593602 0.234131931 0.1511297594

@ 0.234131931 0.5607418153 0.361953089

0.2209009444 0.5290538377 0.3414988245

0.097759 0.234132 0.151130

0.234132 0.560742 0.361953

0.220901 0.529054 0.341499

0.462819

a Ø1=

=

-0.558591

0.001330 -1.000007

-0.014592

a Ø2=

=

-0.674447

0.005730 -1.000070

-0.085774

a Ø3=

=

-0.691642

0.003595 -0.999962

-0.104345

a Ø4=

=

-0.696178

0.003276 -1.000007

-0.109799

a Ø5=

=

-0.697519

0.003193 -1.000035

D*ØU

D*ØU

D*ØU

D*ØU

D*ØU


15/45


16/45

-0.000353

-0.002212 N"ral'?ac'"$ *e a

-0.003169

a ',erac'"$

-0.000354

-0.002207 N"ral'?ac'"$ *e a

-0.003161

va ',erac'"$

-0.000354

-0.002205 N"ral'?ac'"$ *e a

-0.003159

6$a ',erac'"$

-0.000354

-0.002205 N"ral'?ac'"$ *e a

-0.003158

1 a ',erac'"$

-0.000354

-0.002205 N"ral'?ac'"$ *e a-0.003159

11ava ',erac'"$

-0.000354

-0.002204 N"ral'?ac'"$ *e a

-0.003158

2 M"*" *e V'#rac'"$

-3.663881

[D]*[Ø11 -9.202791

0.003169 -9.022886

1= 0.003169

w=

e$en$!a

T= 2π=

.3-3;

D*Ø5

D*Ø6

D*Ø7

D*Ø8

D*Ø9

D*Ø10

+2

=

w2


17/45

-0.111443

a Ø6=

=

-0.697855

0.003169 -0.999940

-0.111961

a Ø7=

=

-0.698043

0.003161 -1.000034

-0.112118

a Ø8=

=

-0.698087

0.003159 -1.000042

-0.112178

a Ø9=

=

-0.698171

0.003158 -1.000147

-0.112161

a Ø10==

-0.6979790.003159 -0.999866

-0.112168

a Ø11=

=

-0.697991

0.003158 -0.999881

1.;3623

segn#&s

D*ØU

D*ØU

D*ØU

D*ØU

D*ØU

D*ØU

seg-1


18/45


19/45

Calcl" *el 3er "*" *e V'#rac'"$

D= mat!" #!nam!$a

S= mat!" #e %a!#&

M5= 'a t!" genea(!"a#a #e( )!me m&

M5= Ma,r'? ge$eral'?a*a *el +eg$*" "*"

['*]= -3.663880945 -9.2027912391 -9.022886212

S= mat!" #e %a!#&

1

1

1

1

1

1

1.000000 -0.002811 -0.007061

0.000000 0.992939 -0.017735

0.000000 -0.006923 0.982612

D= mat!" #!nam!$a

0.000910 -0.001810 0.001515

-0.001810 -0.004442 0.005503

-0.003027 -0.005967 0.007655

CALCLO DEL TE!CE! MODO DE VI!ACION

[,]1 =

[,]1 =

[D]2=

ω^ [Ø]−=[][[[[[[[[[[[ -1 [Ø]0

^∗=_ [∅]_^ ]" " [[ ∅]____________

]_1 − 1/ ^∗ )[ = (_ [∅]_2 [∅]_^ ][


20/45

* -113.75228738 = 0-.0066-233

-285.71849616

-191.65346876

0.0002094044

-3.663881

@ * -9.202791-9.022886

0.000000 0.002811 0.007061

@ 0.000000 0.007061 0.017735

0.000000 0.006923 0.017388


21/45

-3.663880945


22/45

648.212055 -369.768501 117.847636

-369.768501 493.726615 -329.009954

80.625662 -225.092723 231.810300

1

1

1

1er ',erac'"$

396.291191

-205.051839 N"ral'?ac'"$ *e a

87.343239

2er ',erac'"$

3926.985816

-3165.813123 N"ral'?ac'"$ *e a

1126.062999

3er ',erac'"$

3417.962747

-3006.588258 N"ral'?ac'"$ *e a

1145.806524

0er ',erac'"$ 3021.746524

-2727.571620 N"ral'?ac'"$ *e a

1062.959913

-," ',erac'"$

2909.394671

-2647.085504 N"ral'?ac'"$ *e a

1038.601627

;," ',erac'"$2876.088586

-2623.189945 N"ral'?ac'"$ *e a

1031.358014

," ',erac'"$

2865.960579

-2615.922573 N"ral'?ac'"$ *e a

1029.154679

," ',erac'"$2862.853828

[D]-1=

Ø0=

D*Ø0

D*Ø1

D*Ø2

D*Ø3

D*Ø4

D*Ø5

D*Ø6


23/45

4.537171

a Ø1=

=

-2.347656

87.343239 1.000000

3.487359

a Ø2=

=

-2.811400

1126.062999 1.000000

2.983019

a Ø3=

=

-2.623993

1145.806524 1.000000

2.842766

a Ø4=

=

-2.566016

1062.959913 1.000000

2.801261

a Ø5=

=

-2.548701

1038.601627 1.000000

2.788642

a Ø6=

=

-2.543433

1031.358014 1.000000

2.784771

a Ø7=

=

-2.541817

1029.154679 1.000000

2.783581

D*ØU

D*ØU

D*ØU

D*ØU

D*ØU

D*ØU

D*ØU


24/45


25/45

1028.478791

6," ',erac'"$

2861.898207

-2613.007572 N"ral'?ac'"$ *e a

1028.270891

1," ',erac'"$

2861.604010

-2612.796468 N"ral'?ac'"$ *e a

1028.206887

11," ',erac'"$

2861.513416

-2612.731461 N"ral'?ac'"$ *e a

1028.187178

12 ',erac'"$

2861.485515

-2612.711440 N"ral'?ac'"$ *e a

1028.181108

13',erac'"$

2861.476922

-2612.705274 N"ral'?ac'"$ *e a

1028.179239

10" ',erac'"$

2861.474275

-2612.703374 N"ral'?ac'"$ *e a

1028.178663

1- ',erac'"$

2861.473460

-2612.702789 N"ral'?ac'"$ *e a

1028.178485

3 M"*" *e V'#rac'"$

2.783051

[D]-1*[Ø15] -2.541098

1028.178485 1.000000

1= 12.10-

w=

D*Ø8

D*Ø9

D*Ø10

D*Ø11

D*Ø12

D*Ø13

D*Ø14

+ 3

=

w2


26/45

1028.478791 = 1.000000

2.783214

a Ø9=

=

-2.541167

1028.270891 1.000000

2.783101

a Ø10=

=

-2.541119

1028.206887 1.000000

2.783067

a Ø11=

=

-2.541105

1028.187178 1.000000

2.783056

a Ø12=

=

-2.541100

1028.181108 1.000000

2.783053

a 13=

=

-2.541099

1028.179239 1.000000

2.783052

a 10=

=

-2.541099

1028.178663 1.000000

2.783051

a 1-=

=

-2.541098

1028.178485 1.000000

32.;-222

D*ØU

D*ØU

D*ØU

D*ØU

D*ØU

D*ØU

D*ØU

seg-1


27/45

9

t&ss


28/45

e$en$!a

T= 2π=

.16-6-1w

M"*" *e v'#rac'"$ ,",al

0.442544 -3.663881 2.783051

= 1.059885 -9.202791 -2.541098

0.999990 -9.022886 1.000000

=

=

=

2.783051048 -2.5410983099 0.9999999476

!IGIDES GENE!ALIADAS

0.442544 1.059885 0.999990

-3.663881 -9.202791 -9.022886

2.783051 -2.541098 1.000000

MASA PA!TICIPANTE

MASA PA!TICIPANTE DESPLAAMIENTO

2.502419

-21.889558

'*1 = [ +1]T ['] [+

1]

'*2 = [ +2]T ['] [+

2]

'*3 = [ +3]T ['] [+

3]

*1 = [ +1]T [] [ +

1]

* 2= [ + 2]T [] [ +

2]

* 3= [ +3]T [] [ +

3]


29/45

segn#&s

31.0469387755 0 0

0 31.0469387755 0

0 0 21.2408163265

20125 -11480.18 2503.18-11480.18 15328.7 -6988.44

2503.18 -6988.44 4923.84

20125 -11480.18 2503.18

-11480.18 15328.7 -6988.44

2503.18 -6988.44 4923.84

20125 -11480.18 2503.18

-11480.18 15328.7 -6988.44

2503.18 -6988.44 4923.84

O!IONTAL EN S TOTALIDAD

31.0469387755 -1 = @.;620-60

31.0469387755 -1 = ;6.;3630


30/45

;2.16-3260

0-.0066-2326-

0;2.1;;313

2717.0328716543

199976.79445602

471605.04832966


31/45

1.241953

ECACION DEL MOVIMIENTO

62.1975732904

4775.4499523295

462.186631038

@@@@@F

1

1

1

CALCLO DE LAS E!AS INE!CIALESCDINAMICAS

= 0.45

U = 1.3

, = 1.1

= 8

g = 9.81

= 2.5


32/45

21.2408163265 -1 = @2;.30

2717.0328716543 . = -77.692459847 s

199976.794456019 . = 679.603779347 s

471605.048329657 . = -26.380088884 s

43.6839048201 . = -1.2491236512 s

41.8760109419 . = 0.1423119886 s

1020.3779526693 . = -0.0570767026 s

Sa = 1.6226;-


33/45


34/45


35/45


36/45


37/45

12.232416 0 0

m= 0 12.232416 0

0 0 12.232416

20125 -11480.18 2503.18= -11480.18 15328.! -6"88.44

2503.18 -6"88.44 4"23.84

0.0001381"5 0.000202502 0.00021!15!

#-1= 0.000202502 0.0004815!8 0.00058055"

0.00021!15! 0.00058055" 0.000"16686

0.0016"0461 0.0024!!0"1 0.002656356

0.0024!!0"1 0.0058"0858 0.00!101633

0.002656356 0.00!101633 0.011213284

1

$%= 1

1

1er iteraciion

0.006824

0.0154!0 &'(m*+,,+'& m

0.020"!1

2er iteraciion

0.005034

0.012253 &'(m*+,,+'& m

0.01!316

3er iteraciion

0.004"01

0.011""0 &'(m*+,,+'& m

0.01!011

4er iteraciion

0.00488"

0.011"68 &'(m*+,,+'& m

0.016"84

5to iteraciion

[D]= -1 m

D$%

D$%

D$%

D$%


38/45

0.004888

0.011"66 &'(m*+,,+'& m

0.016"82

1 m'' +(,+'&

0.28!858

*& 1= [D][$4] 0.!04604

0.016"82 1.000001

1= 0.016"82

= 7.7371

(,&,+

==

0.8187!57&'

,*,*' * ' m'' +,,+&

=m9(+: +&m+,

#=m9(+: ((+'

M= M 9(+: 7&(*+: * (+m( m''

M= M 9(+: 7&(*+: * (+m( m''

0.28!85815 0.!04603515 1.000001041

#=m9(+: ((+'

1 0 0

0 1 0 -0 0 1

1 0 0

0 1 0 -

0 0 1

D$%

2

2;

[M]=

[S]1 =


39/45

0."4!533266 -0.128425218 -0.182266123

-0.128425218 0.68564!!41 -0.4461410""

-0.182266123 -0.4461410"" 0.366818""4

=m9(+: +&m+,

0.000!"" 0.0002"6 -0.00043"

0.0002"6 0.000553 -0.0004!5

-0.00043" -0.0004!5 0.000461

[S]1 =

[D]2=


40/45

0.3253"!

$1=

=

0.!3!665

0.020"!1 1.000013

0.2"06"8

$2=

=

0.!0!626

0.01!316 1.000025

0.28808"

$3=

=

0.!04862

0.01!011 1.000003

0.28!881

$4=

=

0.!04635

0.016"84 1.000015

D$%

D$%

D$%

D$%


41/45

0.28!863

$4=

=

0.!04614

0.016"82 1.000014

3.52120064 = 1".31"02!8

8.61"00331

12.232428!

0.051!6244 0.28!858 0.28!858 0.!04604 1

0.!04604

1.000001

0.052466!3 0.12842522 0.18226612

0.12842522 0.31435226 0.4461411

0.18226612 0.4461411 0.63318101

D$%

7-1


42/45


43/45


44/45

12.23242 0 0

0 12.23242 0

0 0 12.23242


45/45

Documents

DINAMICO - STODOLA