Excel Estodola

8/17/2019 Excel Estodola

1/21

MODELO DE MASAS CONCENTRADASDATOS:

h: 3.000 m

Peso: 1.200 tn/m2

S: 1.200

Tp: 0.600 s

Largo: 10.000 m

Ancho: 10.000 m

Area techada: 100.000 m2

g: 9.810 m/s2

M1=PAtechada/g: 12.232

Matriz de Masa

12.232 0.000 0.000

M= 0.000 12.232 0.000

0.000 0.000 12.232

Matriz de Rigidez

2021!.000 "11#80.180 2!03.180

$= "11#80.180 1!328.%00 "6988.##0

2!03.180 "6988.##0 #923.820

Defnimos las ecuaciones de equilibrio estatico

SOLC!ON "ENERAL SOLC!ON DEL #RO$LEMA DE %ALORES &

%ECTORES #RO#!OS

'D()'*(+,-.'M(

1.669%&"03 2.##6%&"03 2.6238&"03

'= 2.##6%&"03 !.8#63&"03 %.0!39&"03

2.6238&"03 %.0!39&"03 1.1162&"02

CALCLAMOS DEL #R!MER MODO

ASM!MOS NA A#RO/!MAC!ON AL -ER MODO

1 6.%#02&"03

' 1 = 1.!3#%&"02

1 2.08#0&"02

2.08#&"02

()L(&M)S A *T&+A+


2/21


3/21

S41 "0.12%!0 0.6862% "0.##61!

"0.18131 "0.##61! 0.36!!!

'D(8)'D('S(-

1.669%&"03 2.##6%&"03 2.6238&"03'D( 2.##6%&"03 !.8#63&"03 %.0!39&"03

2.6238&"03 %.0!39&"03 1.1162&"02

%.9!!1&"0# 2.9!61&"0# "#.3!21&"0#

'D(8) 2.9!!#&"0# !.!311&"0# "#.%3#1&"0#"#.3!#0&"0# "#.%362&"0# #.!%#8&"0#

ASM*M)S 7A AP+)*MA*)7 AL S&7') M)')

"1 "1.!263&"03

'42 "1 = "1.3221&"03

1 1.366!&"03

1.36%&"03

()L(&M)S A *T&+A+

"1.11%0 "1.6098&"03

'42 "0.96%! = "1.3386&"03

1.0000 1.#020&"03

1.#02&"03

()L(&M)S A *T&+A+

"1.1#82 "1.6308&"03

'42 "0.9!#8 = "1.3#08&"03

1.0000 1.#096&"03

1.#10&"03

()L(&M)S A *T&+A+

"1.1!%0 "1.6368&"03

'42 "0.9!12 = "1.3#1!&"03

1.0000 1.#11%&"03

1.#12&"03

1/,-2 0.001#11%#02

08) 8323-9 rad6s

T8) 7283 s

CALCLAMOS EL TERCE MODO

1.6!3&;03 "9.38!&;02 2.0#6&;02

- -= .


4/21

'3 "9.38!&;02 1.2!3&;03 "!.%13&;02

2.0#6&;02 "!.%13&;02 #.02!&;02

ASM*M)S 7A AP+)*MA*)7 AL S&7') M)')

1 2.%9!%&;03

'43 "1 = "2.%629&;03

1 1.1%8!&;03

1.1%8&;03

()L(&M)S A *T&+A+

2.3%23 6.32!!&;03

'43 "2.3##! = "!.%3!%&;03

1.0000 2.22%#&;03

2.22%&;03

()L(&M)S A *T&+A+

2.8398 %.31#3&;03

'43 "2.!%!1 = "6.#633&;031.0000 2.#!#8&;03

2.#!!&;03

()L(&M)S A *T&+A+

2.9%96 %.!99%&;03

'43 "2.6330 = "6.66%1&;03

1.0000 2.!16!&;03

2.!16&;03

1/,-2 2!16.#%#%36086

0) 972-3; rad6s

T) 72-89 s

0.28!8 1.1!9# 3.0200

?4: 0.%032 0.9!02 "2.6#9#

1.0000 "1.0000 1.0000

"RA


5/21

3&+ M)')

h ?4 T ?4.T

9 3.0200 0.12! 0.3%83

6 "2.6#9# 0.12! "0.3318

3 1.0000 0.12! 0.12!3

#ARA CADA MODO =ALLAMOS DESACO#LANDO EN ECAC!ONES DE -"DLM@;$B="?TMg

MASA &7&+AL*CA'A 19.280 "0.006 0.000

M=?TM? "0.006 39.%20 "0.19%

0.000 "0.19% 209.6!8

11#2.%2! 0.000 0.009

$=?T$? 0.000 28119.2%% "226.6390.009 "226.639 !32%##.028

"2#.330

"DtM "13.!%3 masa partEcEpante

"16.%66

19.280 B ; 11#2.%2! B = "2#.330

39.%20 B ; 28119.2%% B = "13.!%3

209.6!8 B ; !32%##.028 B = "16.%66

MASA &F&T*(A Ln-2/Mn masa eGectEHa epresada en I

modo1 30.%02 83.%00 I

modo2 #.638 12.6#! I

modo3 1.3#1 3.6!! I

J 36.681 100.000 I

masa eKEHa

1.000 B ; !9.269 B = "1.2619

1.000 B ; %0%.932 B = "0.3#1%

1.000 B ; 2!#1.01# B = "0.0800

Bma=Sdn

B1ma= 1.2619Sd1 Sdn)Sa60+8 B2ma= 0.3#1%Sd2

B3ma= 0.0800Sd3

+eempaando

1ma=D1.B1ma = 1ma=D1 1.262 Sd1


6/21

2ma=D2.B2ma = 2ma=D2 0.3#2 Sd2

3ma=D3.B3ma = 3ma=D3 0.080 Sd3

CALCLAMOS LAS AS S!SM!CAS ES#ECTRALES CORRES#OND!ENTES A C


7/21

1 0 0

*= 0 1 0

0 0 1

0.323#

0.%36#

1.0000


8/21

0.2886

0.%062

1.0000

0.2860

0.%03#

1.0000

0.28!8

0.%032

1.0000

1.0000


9/21

"1.11%0

"0.96%!

1.0000

"1.1#82

"0.9!#8

1.0000

"1.1!%0

"0.9!12

1.0000

"1.1!9#

"0.9!02

1.0000


10/21

2.3%23

"2.3##!

1.0000

2.8398

"2.!%!1

1.0000

2.9%96

"2.63301.0000

3.0200

"2.6#9#

1.0000


11/21

1

1

1

g

g

g

ente

g

g

g


12/21

DA MODO

C 0.#0 1.83%%8#8

1.00

S 1.20

Tp 0.60

0.28!8 t 60.00

0.%032 0.86! hn 9.00

1.0000 T 0.1!

2.!

+ 10.00

C 0.#0 6.3!3806%%

1.00

S 1.20

Tp 0.60

1.1!9# t 60.00

0.9!02 1.1%% hn 9.00

"1.0000 T 0.1!

2.!

+ 10.00

C 0.#0 11.9%!886%

1.00

S 1.20

Tp 0.60

3.0200 t 60.00

"2.6#9# 1.1%% hn 9.00

1.0000 T 0.1!

2.!

+ 10.00


13/21


14/21


15/21


16/21


17/21


18/21

N=2.! 1.83%%8#8

N=2.! 2.!

N=2.! 2.!


19/21

ES#ECTROS DE D!SEOA7AL*S*S S*SM*)

Parametros de a &strctra

C 0.#0

1.00

S 1.20 Tp 0.60

t 60.00

hn 9.00

T 0.1!

2.!

Direccion / += 8 Aporticado

T Sa

0.1 2.!00 1.#%1!

0.2 2.!00 1.#%1!

0.3 2.!00 1.#%1!

0.# 2.!00 1.#%1!

0.! 2.!00 1.#%1!

0.6 2.!00 1.#%1!

0.% 2.1#3 1.2613

0.8 1.8%! 1.1036

0.9 1.66% 0.9810

1 1.!00 0.8829

1.1 1.36# 0.8026

1.2 1.2!0 0.%3!8

1.3 1.1!# 0.6%92

1.# 1.0%1 0.6306

1.! 1.000 0.!886

1.6 0.938 0.!!18

1.% 0.882 0.!19#

1.8 0.833 0.#90!

1.9 0.%89 0.#6#%

2 0.%!0 0.##1!

0

0

0.2

0.4

0.6

0.8

1

1.2

1.4

1.6

Sa [m/s2]

T

hn

CT

C 2.5

TP

T

C 2.5≤Sa

Z U⋅ C⋅ S⋅

R g⋅

VZ U⋅ C⋅ S⋅

R P⋅


20/21

t#!'AL&S

60M+)S

3! AP)+T*A')S

0.100

0.200

0.300

0.#00

0.!00

0.600

0.%00

0.800

0.900

1.000

1.100

1.200

1.300

1.#00

1.!00

1.600

1.%00

1.800

1.900

2.000

1 2

T Periodo [s]


21/21

1.#%1!

1.#%1!

1.#%1!

1.#%1!

1.#%1!

1.#%1!

1.2613

1.1036

0.9810

0.8829

0.8026

0.%3!8

0.6%92

0.6306

0.!886

0.!!18

0.!19#

0.#90!

0.#6#%

0.##1!

Documents

Excel Estodola