Analisis Estructural2 Portico Con Apoyo Empotrado

8/17/2019 Analisis Estructural2 Portico Con Apoyo Empotrado

1/52

PORTICO CON APOYO EMPOTRADO

E = 217370.65 Kg/cm^2

VIGAS = 25 50

CO!"MNAS = 25 25

#APATA I#$. = %0 %0

#APATA DER. = 100 100

1200 &g/m

1000&g

3

1200 &g/m

700 &g

'

5 m

NUMERACION DE NODOS Y BARRAS

1200 &g/m

1000&g

3

1200 &g/m

700 &g

7

65

%%

65

7


2/52

'

5 m

FUERZAS TRANSMITIDAS EN LOS NODOS

(5) = (6) = *3000

(7) = (%) = *3000

*3000 &g *3000 &g

1000&g

*3000 &g *3000 3

700 &g

'

5 m

CALCULO DEL MEP

MEP = +,-!^2/12 = 2500

3 '

3 '

1 2

7

65

3 '

%%

3

65

7

'

1 2


3/52

*250000 &g*cm 250000 &g*cm

3*250000 &g*cm 250000 &g*cm

'

5 m

la matriz de fuerzas atua!tes "sistema l#al$ e! l#s !#d#s e%trem#s de ad

EN LA BARRA ) Y *

(5 700 (7

(5) *3000 (7)

M5 = *250000 M7

(6 0 (%

(6) *3000 (%)

M6 250000 M%

matriz de tra!sf#rmai#! de ada &arra

0 1 0 0*1 0 0 0

0 0 1 0

T 0 0 0 0

0 0 0 *1

0 0 0 0

4 898 4:8 ;8 c; : 498(9m8c ) < 9c4?8 498

898 ;8 ?g8 c89 498(9m89 ;8 c9:8:8


4/52

4m ;8 m849> : 498(9m8c + m849> :4:8:

1 0 0

0 1 0

T = 0 0 1

0 0 0

0 0 00 0 0

+ECTOR DE TODAS LAS FUERZAS ACTUANTES EN LA ESTRUCTURA

5 700

5) *3000

M5 *250000

6 0

6) *3000

M6 = 2500007 1000

7) *3000

M7 *250000

% 0

%) *3000

M% 250000

#!strui#! de la matriz l#al ,ara ada &arra

INICIO 3 INA! 5

ARRA 8+cm 8;4+cm !+cm A

3 25 25 '00 625

AE/! 12EI/!^3 6EI/!^2 'EI/! 2EI/!

336'1.6'0625 1326.72515%61' 2653'5.03173%3 7075%675.13020% 'EF007

3 3)

336'1.6'0625 0 0

0 1326.72515%61' 2653'5

&3 = 0 2653'5.03173%2% 7EF007

*336'1.6'0625 0 0

0 *1326.72515%61 *2653'5

0 2653'5.03173%2% 'EF007

INICIO ' INA! 6


' 25 25 '00 625

AE/! 12EI/!^3 6EI/!^2 'EI/! 2EI/!

336'1.6'0625 1326.72515%61' 2653'5.03173%3 7075%675.13020% 'EF007

3@


5/52

' 'Y

336'1.6'0625 0 0

0 1326.72515%61' 2653'5

K' = 0 2653'5.03173%2% 7EF007

*336'1.6'0625 0 0

0 *1326.72515%61 *2653'50 2653'5.03173%2% 'EF007

INICIO 5 INA! 7


5 25 25 300 625

AE/! 12EI/!^3 6EI/!^2 'EI/! 2EI/!

'52%55.520%3333 31''.%300057%7 '7172'.500%6%1 '3''00.173611 5EF007

5 5Y

'52%55.520%333 0 00 31''.%300057%7 '71725

K5 = 0 '7172'.500%6%06 EF007

*'52%55.520%333 0 0

0 *31''.%300057%7 *'71725

0 '7172'.500%6%06 5EF007

INICIO 6 INA! %


6 25 25 300 625

AE/! 12EI/!^3 6EI/!^2 'EI/! 2EI/!

'52%55.520%3333 31''.%300057%7 '7172'.500%6%1 '3''00.173611 5EF007

6 6Y

'52%55.520%333 0 0

0 31''.%300057%7 '71725

K6 = 0 '7172'.500%6%06 EF007

*'52%55.520%333 0 0

0 *31''.%300057%7 *'71725

0 '7172'.500%6%06 5EF007

INICIO 5 INA! 6


7 25 50 500 1250

AE/! 12EI/!^3 6EI/!^2 'EI/! 2EI/!

5'3'26.625 5'3'.26625 135%566.5625 '52%55520.%3333 2EF00%

5 5Y

5'3'26.625 0 0

'@

5@

6@

5@


6/52

0 5'3'.26625 1EF006

K7 = 0 135%566.5625 5EF00%

*5'3'26.625 0 0

0 *5'3'.26625 06

0 135%566.5625 2EF00%

INICIO 7 INA! %ARRA 8+cm 8;4+cm !+cm A

% 25 50 500 1250

AE/! 12EI/!^3 6EI/!^2 'EI/! 2EI/!

5'3'26.625 5'3'.26625 135%566.5625 '52%55520.%3333 2EF00%

7 7Y

5'3'26.625 0 0

0 5'3'.26625 1EF006

K% = 0 135%566.5625 5EF00%

*5'3'.26625 0 00 *5'3'.26625 06

0 135%566.5625 2EF00%

MATRIZ DE RI-IDES DEL SISTEMA -LOBAL

3 3Y R3

1326.72515%61 0 *2653'5

0 336'1.6'0625 0

K3 = *2653'5.03173%3 0 7EF007

*1326.72515%61 0 2653'5

0 *336'1.6'0625 0

*2653'5.03173%3 0 'EF007

' 'Y R'

1326.72515%61 0 *2653'5

0 336'1.6'0625 0

K' = *2653'5.03173%3 0 7EF007

*1326.72515%61 0 2653'5

0 *336'1.6'0625 0

*2653'5.03173%3 0 'EF007

5 5Y R5

31''.%300057%7 0 *'71725

0 '52%55.520%3333 0

K5 = *'7172'.500%6%1 0 EF007

*31''.%300057%7 0 '71725

0 *'52%55.520%333 0

*31''.%300057%7 0 5EF007

7@


7/52

6 6Y R6

31''.%300057%7 0 *'71725

0 '52%55.520%3333 0

K6 = *'7172'.500%6%1 0 EF007

*31''.%300057%7 0 '71725

0 *'52%55.520%333 0*'7172'.500%6%1 0 '71725

5 5Y R5

5'3'26.625 0 0

0 5'3'.26625 1EF006

&7 = 0 135%566.5625 5EF00%

*5'3'26.625 0 0

0 *5'3'.26625 06

0 135%566.5625 2EF00%

7 7Y R7

5'3'26.625 0 0

0 5'3'.26625 1EF006

K% = 0 135%566.5625 5EF00%

*5'3'.26625 0 0

0 *5'3'.26625 06

0 135%566.5625 2EF00%

MATRIZ ENSAMBLADA DE RI-IDECES "SISTEMA -LOBAL$

5 5Y R5

5'7%%.1%016'5 0 *20637

0 7731.'2770%33 1EF006

*20637.'612% 135%566.5625 6EF00%

*5'3'26.625 0 0

0 *5'3'.26625 06

K = 0 135%566.5625 2EF00%

*31''.%300057%7 0 '71725

0 *'52%55.520%333 0

*31''.%300057%7 0 5EF007

0 0 0

0 0 0

0 0 0

!A INVERSA DE !A MATRI# DE RIGIDE# RED"CIDA

5 5Y R5

0.00011%0231 *7.5''5E*007 2E*00%


8/52

*'.77703E*007 2.2'03%E*006 *'E*00

3.%2''7715E*00% *'.66517'E*00 2E*00

0.0001171777 *7.556%%75E*007 2E*00%

'.777026E*007 1.'%75%50E*00% 'E*00

K^*1 = 1.720'52E*00% *'.'7761E*00 *7E*010

1.25130%2E*006 %.25032%10E*00 *7E*010

*6.%123%'3E*007 2.25677E*006 *'E*00*5.225326E*00% *'.3050553E*00 *2E*010

5.63'67%3'E*007 '.%531207E*00 6E*010

6.%123%'2E*007 1.%5%1'3'E*00% 'E*00

1.255166%E*007 *6.0%%0''0E*00 1E*010

CA!C"!O DE DESP!A#AMIENTOS +SISTEMA G!OA!

5 700

5) *3000

M5 *2500006 0

6) *3000

M6 = 250000

7 1000

7) *3000

M7 *250000

% 0

%) *3000

M% 250000

REEMP!A#ANDO !AS MATRICES RESPECTIVAS "=K^*1-

"5 0.0%'35

"5) *0.01%1

G5 *0.0005

"6 0.0%'6

"6) *0.0172

" = G6 = 0.00056

"7 0.00272

"7) *0.025

G7 *0.000%

"% *0.0007

"%) *0.0236

G% 0.000%5

MATRIZ DE RI-IDEZ DE LA ESTRUCTURA TOTAL

3 3Y R3


9/52

1326.72515%61 0 *2653'5

0 336'1.6'0625 0

*2653'5.03173%3 0 7EF007

0 0 0

0 0 0

0 0 0

*1326.72515%61 0 2653'50 *336'1.6'0625 0

K = *2653'5.03173%3 0 'EF007

0 0 0

0 0 0

0 0 0

0 0 0

0 0 0

0 0 0

0 0 0

0 0 00 0 0

CON+ERSION DE LOS SISTEMAS -LOBALES OBTENIDOS AL SISTEMA LOCAL

PARA LA COLUMNA .


10/52


11/52

V6 0 *1326.72515%61 *2653'5

M6 0 2653'5.03173%2% 'EF007

PARA LA COLUMNA 0

N5 '52%55.520%333 0 0

V5 0 31''.%300057%7 '71725M5 = 0 '7172'.500%6%06 EF007

N7 *'52%55.520%333 0 0

V7 0 *31''.%300057%7 *'71725

M7 0 '7172'.500%6%06 5EF007

PARA COLUMNA 1

N6 '52%55.520%333 0 0

V6 0 31''.%300057%7 '71725

M6 = 0 '7172'.500%6%06 EF007N% *'52%55.520%333 0 0

V% 0 *31''.%300057%7 *'71725

M% 0 '7172'.500%6%06 5EF007

PARA LA +I-A )

N5 5'3'26.625 0 0

V5 0 5'3'.26625 1EF006

M5 = 0 135%566.5625 5EF00%

N6 *5'3'26.625 0 0

V6 0 *5'3'.26625 06

M6 0 135%566.5625 2EF00%

PARA LA +I-A *

N7 5'3'26.625 0 0

V7 0 5'3'.26625 1EF006

M7 = 0 135%566.5625 5EF00%

N% *5'3'.26625 0 0

V% 0 *5'3'.26625 06

M% 0 135%566.5625 2EF00%

REACCIONES


12/52

1 2

3%22.523'37'1 '2360

*27.2%3%305255

6157.7'35036% 5%'2.2'

DIAGRAMA DE ES"ER#O AIA!1%63.136'0001

110.1'367562 *110.2

*135.%5265722'

6157.7'35036%'

5%'2.236'203'05

DIAGRAMA DE "ER#A CORTANTE

110.1'367562

*%63.136'7''3


13/52

110.1'367562

*27.2%3%305255 261.5%325116

DIAGRAMA DE MOMENTO !ECTOR

2035

*15''75.''0%1

*1350'7.'5137

13'%'6

*123%2.'31'5 *111371.01%700

*1'736.0615533 62273

3%22.523'37'06 '2360.251776'


14/52

cm^2

cm^2

cm^2

cm^2

m

m

m


15/52

m

&g

&g

m

m

Kg*m = 250000 &g*cm


16/52

m

m

a &arra es la si'uie!te(

1000

*3000

= *250000

0

*3000

250000

0 0 0 *10 0 1 0

0 0 = 0 0

1 0 0 0

0 0 0 0

0 1 0 0


17/52

0 0 0

0 0 0

0 0 0 = T^T

1 0 0

0 1 00 0 1

I E

32552.0%3 217370.65

5 5)

*336'1.6 0 0

0 *1326.725 2653'5

0 *2653'5 353733%

336'1.6' 0 0

0 1326.7252 *2653'5

0 *2653'5 7075%675

I E

32552.0%3 217370.65

5@


18/52

6 6Y

*336'1.6 0 0

0 *1326.725 2653'5

0 *2653'5 353733%

336'1.6' 0 0

0 1326.7252 *2653'50 *2653'5 7075%675

I E

32552.0%3 217370.65

7 7Y

*'52%55.5 0 00 *31''.%3 '7172'.5

0 *'7172'.5 '7172'50

'52%55.52 0 0

0 31''.%3 *'7172'.5

0 *'7172'.5 '3''00

I E

32552.0%3 217370.65

% %Y

*'52%55.5 0 0

0 *31''.%3 '7172'.5

0 *'7172'.5 '7172'50

'52%55.52 0 0

0 31''.%3 *'7172'.5

0 '7172'50 '3''00

I E

260'16.67 217370.65

6 6Y

*5'3'26.6 0 0

6@

7@

%@

6@


19/52

0 *5'3'.266 135%567

0 *135%567 760

5'3'26.63 0 0

0 5'3'.2663 *135%567

0 *135%567 521

I E

260'16.67 217370.65

% %Y

*5'3'26.6 0 0

0 *5'3'.266 135%567

0 *135%567 760

5'3'26.63 0 00 5'3'.2663 *135%567

0 *135%567 521

5 5Y R5

*1326.725 0 *2653'5 3

0 *336'1.6 0 3Y

2653'5 0 353733% R3

1326.7252 0 2653'5 5

0 336'1.6' 0 5Y

2653'5 0 7075%675 R5

6 6Y R6

*1326.725 0 *2653'5 '

0 *336'1.6 0 'Y

2653'5 0 353733% R'

1326.7252 0 2653'5 6

0 336'1.6' 0 6Y

2653'5 0 7075%675 R6

7 7Y R7

*31''.%3 0 *'7172'.55

0 *'52%55.5 0 5Y

'7172'.5 0 '7172'50R5

31''.%3 0 '7172'.5 7

0 '52%55.52 0 7Y

'7172'.5 0 '3''00R7

%@


20/52

% %Y R%

*31''.%3 0 *'7172'.56

0 *'52%55.5 0 6Y

'7172'.5 0 '7172'50R6

31''.%3 0 '7172'.5 %

0 '52%55.52 0 %Y'7172'.5 0 '3''00R%

6 6Y R6

*5'3'26.6 0 0 5

0 *5'3'.266 135%567 5Y

0 *135%567 760 R5

5'3'26.63 0 0 6

0 5'3'.2663 *135%5676Y

0 *135%567 521 R6

% %Y R%

*5'3'26.6 0 0 7

0 *5'3'.266 135%567 7Y

0 *135%567 760 R7

5'3'26.63 0 0 %

0 5'3'.2663 *135%567%Y

0 *135%567 521 R%

6 6Y R6 7 7Y R7 %

*5'3'26.6 0 0 *31''.%3 0 *'7172'.5 0

0 *5'3'.266 135%567 0 *'52%55.5 0 0

0 *135%567 760 '7172'.5 0 '7172'50 0

5'7%%.1% 0 *20637.5 0 0 0 *31''.%3

0 7731.'3 *135%567 0 0 0 0

*20637.5 *135%567 06 0 0 0 '7172'.5

0 0 0 5'6571.'6 0 '7172'.5 *5'3'26.6

0 0 0 0 '5%2%.7 135%567 0

0 0 0 '7172'.5 135%567 '21 0

*31''.%3 0 '7172'.5 *5'3'.266 0 0 5'6571.'6

0 *'52%55.5 0 0 *5'3'.266 *135%567 0

*'7172'.5 0 '7172'.5 0 135%567 760 '7172'.5

6 6Y R6 7 7Y R7 %

0.0001171 7.55E*007 3.25E*00% 6.05E*007 *1.2E*006 7.52E*00% 1.1E*006


21/52

*'.%E*007 1.'E*00% *5.0E*00 5.57E*00 2.3E*006 *5.2E*00 1.15E*00%

3.7%E*00% '.70E*00 *6.7E*010 *1.3E*00 *'.6E*00 *1.E*010 *6.'E*010

0.00011%1 7.56E*007 3.2E*00% 6.01E*007 *1.2E*006 7.3E*00% 1.1E*006

'.%0E*007 2.3E*006 '.%E*00 *5.6E*00 1.1E*00% 5.16E*00 *1.1E*00%

1.76E*00% '.'%E*00 1.%E*00 5.27E*010 *'.3E*00 1.77E*010 *%.'E*010

1.25E*006 *%.3E*00 *7.7E*010 1.%6E*006 1.02E*00% *3.6E*010 1.%5E*006

*6.E*007 1.%6E*00% *5.1E*00 7.6'E*00 5.13E*006 *.2E*00 1.5E*00%*5.3E*00% '.31E*00 7.'5E*011 *2.1E*00 *%.0E*00 2.23E*00 *1.6E*00

5.6%E*007 *'.E*00 *1.5E*00 2.03E*00% 6.0'E*00 .70E*010 1.%6E*006

6.%5E*007 2.3E*006 5.15E*00 *7.6E*00 2.52E*00% .1%E*00 *1.6E*00%

1.27E*007 6.0E*00 2.27E*011 1.32E*00 *1.0E*00% *%.1E*010 1.5'E*011

cm

cm

98:

cm

cm

98:

cm

cm

98:

cm

cm

98:

' 'Y R' 5 5Y R5 6


22/52

0 0 0 *1326.725 0 *2653'5 0

0 0 0 0 *336'1.6 0 0

0 0 0 2653'5 0 353733% 0

1326.7252 0 *2653'5 0 0 0 *1326.725

0 336'1.6' 0 0 0 0 0

*2653'5 0 7075%675 0 0 0 2653'5

0 0 0 5'7%%.1% 0 *20637.5 *5'3'26.60 0 0 0 7731.'3 135%567 0

0 0 0 *20637.5 135%567 06 0

*1326.725 0 2653'5 *5'3'26.6 0 0 5'7%%.1%

0 *336'1.6 0 0 *5'3'.266 *135%567 0

*2653'5 0 353733% 0 135%567 760 *20637.5

0 0 0 *31''.%3 0 '7172'.5 0

0 0 0 0 *'52%55.5 0 0

0 0 0 *31''.%3 0 '7172'50 0

0 0 0 0 0 0 *31''.%3

0 0 0 0 0 0 00 0 0 0 0 0 *'7172'.5

0 0 0 0 0

0 0 0 0 0

0 0 0 - 0 = 0

0 1 0 0.0%'3'73 *0.01%131

*1 0 0 *0.01%13 *0.0%'3'7

0 0 1 *0.000525 *0.000525

0 0 0 0 0

0 0 0 0 0

0 0 0 - 0 = 0

0 1 0 0.0%'573 *0.017201

*1 0 0 *0.017201 *0.0%'57

0 0 1 0.000562% 0.000562%

0 0 0 0.0%'3'73 *0.01%131

0 0 0 *0.01%13 *0.0%'3'7

0 0 0 - *0.000525 = *0.000525

0 1 0 0.00272'' *0.025


23/52

*1 0 0 *0.025 *0.00272'

0 0 1 *0.000761 *0.000761

0 0 0 0.0%'573 *0.017201

0 0 0 *0.017201 *0.0%'570 0 0 - 0.000562% = 0.000562%

0 1 0 *0.00070' *0.0235%1

*1 0 0 *0.0235%1 0.00070'2

0 0 1 0.000%'%' 0.000%'%'

0 0 0 0.0%'3'73 0.0%'3'73

0 0 0 *0.01%13 *0.01%13

0 0 0 - *0.000525 = *0.0005251 0 0 0.0%'573 0.0%'573

0 1 0 *0.017201 *0.017201

0 0 1 0.000562% 0.000562%

0 0 0 0.00272'' 0.00272''

0 0 0 *0.025 *0.025

0 0 0 - *0.000761 = *0.000761

1 0 0 *0.00070' *0.00070'

0 1 0 *0.0235%1 *0.0235%1

0 0 1 0.000%'%' 0.000%'%'

*336'1.6 0 0 0 6157.7''

0 *1326.725 2653'5 0 *27.2%3%3

0 *2653'5 353733% - 0 = 3%22.523

336'1.6' 0 0 *0.01%131 *6157.7'

0 1326.7252 *2653'5 *0.0%'3'7 27.2%3%31

0 *2653'5 7075%675 *0.000525 *1'736.06

*336'1.6 0 0 0 5%'2.236'

0 *1326.725 2653'5 0 261.5%325

0 *2653'5 353733% - 0 = '2360.252

336'1.6' 0 0 *0.017201 *5%'2.236


24/52

0 1326.7252 *2653'5 *0.0%'57 *261.5%33

0 *2653'5 7075%675 0.000562% 62273.0'

*'52%55.5 0 0 *0.01%131 3110.7%37

0 *31''.%3 '7172'.5 *0.0%'3'7 *%63.13650 *'7172'.5 '7172'50 - *0.000525 = *123%2.

'52%55.52 0 0 *0.025 *3110.7%'

0 31''.%3 *'7172'.5 *0.00272' %63.136'%

0 *'7172'.5 '3''00 *0.000761 *1350'%

*'52%55.5 0 0 *0.017201 2%%%.3%7

0 *31''.%3 '7172'.5 *0.0%'57 37.'352

0 *'7172'.5 '7172'50- 0.000562%= 52%%1.063'52%55.52 0 0 *0.0235%1 *2%%%.3

0 31''.%3 *'7172'.5 0.00070'2 *37.'35

0 '7172'50 '3''00 0.000%'%' 00.'76

*5'3'26.6 0 0 0.0%'3'73 *135.%527

0 *5'3'.266 135%567 *0.01%13 '6.'6%'

0 *135%567 760 - *0.000525 = *111371

5'3'26.63 0 0 0.0%'573 135.%5266

0 5'3'.2663 *135%567 *0.017201 *'6.'6%

0 *135%567 521 0.000562% 13'%'5.%6

*5'3'26.6 0 0 0.00272'' 1%63.136'

0 *5'3'.266 135%567 *0.025 110.1''

0 *135%567 760 - *0.000761 = *15''75.'

5'3'26.63 0 0 *0.00070' *37.'36

0 5'3'.2663 *135%567 *0.0235%1 *110.1'

0 *135%567 521 0.000%'%' 2035.17


25/52

261.5%325


26/52


27/52


28/52


29/52


30/52


31/52


32/52


33/52

%Y R%

0 0 5

0 0 5Y

0 0 R5

0 *'7172'.56

*'52%55.5 0 6Y

0 '7172'50R6

0 0 7

*5'3'.266 135%567 7Y

*135%567 760 R7

0 '7172'.5%

'5%2%.7 *135%567%Y

*135%567 '21 R%

%Y R%

1.17E*006 7.1E*00% 5


34/52

1.1E*00% *5.1E*005Y

'.60E*00 1.1E*010 R5

1.17E*006 7.32E*00% 6

2.3E*006 5.0%E*00 6Y

'.31E*00 *2.0E*010R6

*1.0E*00% *3.5E*0107

2.52E*00% *.0E*007Y%.00E*00 *.3E*010R7

*6.0E*00 *1.'E*00%

5.13E*006 .03E*00 %Y

1.0'E*00% 2.32E*00 R%

6Y R6 7 7Y R7 % %Y


35/52

0 0 0 0 0 0 0

0 0 0 0 0 0 0

0 0 0 0 0 0 0

0 *2653'5 0 0 0 0 0

*336'1.6 0 0 0 0 0 0

0 353733% 0 0 0 0 0

0 0 *31''.%3 0 *'7172'.5 0 0*5'3'.266 135%567 0 *'52%55.5 0 0 0

*135%567 760 '7172'.5 0 '7172'50 0 0

0 *20637.5 0 0 0 *31''.%3 0

7731.'3 *135%567 0 0 0 0 *'52%55.5

*135%567 06 0 0 0 '7172'.5 0

0 0 5'6571.'6 0 '7172'.5 *5'3'26.6 0

0 0 0 '5%2%.7 135%567 0 *5'3'.266

0 0 '7172'.5 135%567 '21 0 *135%567

0 '7172'.5 *5'3'.266 0 0 5'6571.'6 0

*'52%55.5 0 0 *5'3'.266 *135%567 0 '5%2%.70 '7172'.5 0 135%567 760 '7172'.5 *135%567


36/52


37/52

700 *%35.%527

*3000 30'6.'7

* *250000 = 13%62

0 135.%5266

*3000 253.0503

250000 *11515'.1

1000 %63.136'

*3000 3110.1'

* *250000 = 552'.551

0 *37.'36

*3000 2%%.0%06

250000 *'006'.%3


38/52


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44/52


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46/52


47/52

R%


48/52

0 3

0 3Y

0 R3

0 '

0 'Y

0 R'

0 50 5Y

0 R5

*'7172'.56

0 6Y

'7172'50R6

0 7

135%567 7Y

760 R7

'7172'.5%

*135%567%Y'21 R%


49/52


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Documents

Analisis Estructural2 Portico Con Apoyo Empotrado