dispostivos de apoyo

7/21/2019 Dispostivos de Apoyo

1/27

PD= 72.00 t PL= 58.00 t = 0.007 rad B.viga = 0.50 m

12G = .00 Kg/cm Fy = 36 !i Fy = 2531 Kg/cm

SOLUCINa) rea del elastmero

PD= 72.00 tPL= 58.00 t

Pt= 130000.00 g

"!#=1.66G$ #=122.00 g/cm %&'(8)L*+g,

-r+*+rida=P

=130000

= 1066 cm"! 122

Para + ac, d+ vig B.viga = 0.50 m a!*mir B = . 4 = 50 cm

L = 21.32 cm 25 cm - = 1 25

b) Factor de forma S mnimo9arga t,ta

"! #= 2G$ #= 122 g/cm %&'(8) 12G = .00 Kg/cm!i+d,

Pt= 10:.00 Kg/cm $ ;=

"!= :.33

- 2.00G

9arga viva

"L #= 0.66G$ %&'(8)! G= 12 g/cm

PL= :6.:0 Kg/cm $ ;=

"!= 3.87

- G

c) Grosor de una capa interior del elastmero !ri)

&'(7

Para carga t,ta

ri #= 25 < 50 = 1.2 cm2 < %:.33) % 25.00 > 50.00 )

Gr,!,r d+ ca?a it+ri,r ad,?tad,ri= 1.50 cm %15.00)mm

9, +!t+ gr,!,r d+ ca?a it+ri,r + @act,r d+ @,rma +!

$= 25 < 50 = 5.56 ; :.33 AK

2 < %1.50) % 25.00 > 50.00 )

d) N"mero de capas interiores de el#stomero n)9,m?r+!i y r,taci c,mCiad,!

%&' ( )

2

;12 5.56 0.007 25

= 1.2510: 1.50 cm

Di!+Ear * di!?,!itiv, d+ elastmero de e$pansin apo%o m&il) r+@,rad, c, ac+r, ?ara * a?,y, d+ ?*

!@*+r, d+ c,m?r+!i ?,r carga t,ta + !+rvici, + apo%os de e$pansin

a?,y, a , arg, d+ a ,git*d d+ viga d+C+ !+r ta c,rt, c,m, !+a ?rHctic, ?ara ?+rmitir a r,taci ar+d+d,+!taCiiar a viga d*rat+ !* +r+cci.

"$=

"L=


2/27

:. n = 2

$+ *!arH 2ca?a! it+ri,r+! d+ 15 mm c/*9a?a! + 28 mm = :6.00 mm

!) 'stabilidad del elastmero

- = 0.25 &'(10 B= 0.31

a?,y, !+rH +!taC+ !i&' ( 10

% 0.25 ) 0.31 AK

-?,y, +!taC+ y , d+?+d+ d+ "!

-?,y, +!taC+ y , d+?+d+ d+ "!

y , d+?+d+ d+ "!, +!taC+ y , d+?+d+ d

rr511

) C#lculo de placas de refuer(o en el elastmero + +!tad,Mmit+ d+ !+rvici,

&'( 11

! ;=3 1.50 cm 10:.0 g/cm

= 0.185 cm2531.00 g/cm

+ +!tad,Mmit+ d+ @atiga

1!.mi .850 mm

NFO = 1683 g/cm %9at+g,rMa -)

! ;= 2 1.50 cm :6.: g/cm = 0.083 cm1683.00 g/cm

-d,?tam,! ! =2.00 mm

$+ *!arH 3 ?aca! d+ 2 mm y + +!?+!,r t,ta !+rH = :6mm > 3 2 mm = *+,, mm


3/27

cm 1066 cm

%%1))

S - .+//

2

25

; (0.167 0.011.5

= 1.0610: (1

t+

d+ +I+ tra!v+r!a y , !*Jci+t+ c,m, ?ara


4/27

2.25 12 5.56

AK


5/27

%&' ( )


6/27


7/27

PD= 70.00 t PL= 22.00 t = 0.010 rad L.viga = 30.00 m

12G = .00 Kg/cm Fy = 36 !i Fy = 2531 Kg/cm

= 20 Q9

-c,rt. ?,r ?,!t+!ad, 1.00 cm

-c,rt. ?,r c,tracci d+ Q9 0.20 cm


PD= 70.00 tPL= 22.00 tPt= 2000.00 g

"!#=1.66G$ #=112.00 g/cm %&'(8)

L*+g,

-r+*+rida=P

=2000

= 821 cm

"! 112

Para + ac, d+ vig B.viga = 0.:5 m a!*mir B = . 4 = :5 cm L = 18.2: cm 20 cm - = 00


"! #=1.66G$ #= 122 g/cm %&'(8) 12G = .00 Kg/cm!i+d,

"!= Pt = 102.22 Kg/cm $ ;= "! = 5.13- 1.66G

9arga viva

"L #= 0.66G$ %&'(8)! G= 12 g/cm

"L= PL == 2:.:: Kg/cm $ ;=

"!= 1.23

- 1.66G


&'(7

Para carga t,ta

#= 25 < :5 = 1.35 cm2 < %5.13) % 20.00 > :5.00 )

Gr,!,r d+ ca?a it+ri,r ad,?tad,ri= 1.20 cm %12.00)mm

9, +!t+ gr,!,r d+ ca?a it+ri,r + @act,r d+ @,rma +!$= 25 < :5 = 5.77 ; 5.13

2 < %1.20) % 20.00 > :5.00 ) AK


%&' ( )





8/27

2

;12 5.77 0.010 20

= 1.88102.22 1.20 cm

:. n = 3

$+ *!arH 3ca?a! it+ri,r+! d+ 12 mm c/*9a?a! + 26 mm = :8.00 mm

) 0cortamiento de &i1a2or temperatura3- 10.80(06 /Q9 %c,cr+t,)

= 20 Q9

L.viga = 30.00 m

4temp - 10.80(06/R9 20R9 3000 cm = 0.65 cm

2or postensadopost - 1.00 cm

2or postensadocontraccin de fra1uapost - 0.20 cm

1.2 %&& ( 15) %$+rvici,)

0cortamiento total de &i1a51.2 1.2 %0.6:8 cm > 1 cm > 0.2 cm) = 2.22 cm

&' (

rt = :.80 cm 2 2.22 = :.:: cm AK

1) Capacidad 6otacional del 0po%o7e8e$in instant#nea por compresin

, "!= 102.22 g/cm = 10.02 S?a&' ( 8

$ = 5.77

D+ a Jg*ra9: - 6.20

9,m,

= : 0.062 1.2= 0.28 cm

Capacidad rotacional del apo%o

m#$ - T = 2TL/2 L

= 2 0.28 cm AK

Con < -


9/27

20.00 cm


- = 3.35 B= 0.31&'(10

a?,y, !+rH +!taC+ !i&' ( 10

2 % 3.35 ) #= 0.31

6.70 #= 0.31 V.$.

9,m, , !+ c*m?+ a +c*aci 1 2- #= B ?ara a?,y, JI, !+ *!arH a +c*aci :

&' ( 11

"! = 102.22 12 5.77

= 10.8: V.$2 3.35 ( 0.31


&'( 11

! ;=3 1.20 cm 102.2 g/cm

= 0.1:5 cm2531.00 g/cm


1!.mi .:50 mm


! ;=2 1.20 cm 2:.:: g/cm

= 0.035 cm1683.00 g/cm

-d,?tam,! ! =2.00 mm

$+ *!arH : ?aca! d+ 2 mm y + +!?+!,r t,ta !+rH = :8mm > : 2 mm = =+,, mm


10/27

B.viga = 0.:5 m

m 821 cm

%%1))

S - +:/

t+



11/27

20

; (0.2 0.011.2

= 2.61102.22 (1

1.875 12 5.77

AK


12/27


13/27


14/27

%&' ( )


15/27


16/27

PD= 72.00 t PL= 58.00 t = 0.007 rad B.viga = 0.50 m

12G = .00 Kg/cm Fy = 36 !i Fy = 2531 Kg/cm


PD= 72.00 tPL= 58.00 t

Pt= 130000.00 g

"!#= 2G$ #= 122.00 g/cm %&'(8)L*+g,

-r+*+rida=P

=130000

= 1066 cm"! 122

D = 36.8: cm :0 cm - = 1 257 cm 1


"! #= 2G$ #= 122 g/cm %&'(8) 12G = .00 Kg/cm!i+d,

Pt= 103.:5 Kg/cm $ ;=

"!= :.31

- 2.00G

9arga viva"L #= 0.66G$ %&'(8)

! G= 12 g/cm

PL= :6.15 Kg/cm $ ;=

"!= 3.85

- G


&'(7

Para carga t,ta

ri #=

25

= 2.32 cm

Gr,!,r d+ ca?a it+ri,r ad,?tad,

: :.31 ri= 1.50 cm %15.00)mm


$= 25 = 6.67 ; :.31 AK

: 1.50


%&' ( )

2

;0.75 12 6.67 0.007 D

= 2.8103.:5 1.50 cm

:. n = 3




"$=

"L=


17/27

$+ *!arH 3ca?a! it+ri,r+! d+ 15 mm c/*

9a?a! + 28 mm = 61.00 mm


- =0.211 &'(10 B= 0.25

a?,y, !+rH +!taC+ !i&' ( 10

% 0.21 ) 0.25 AK

-?,y, +!taC+ y , d+?+d+ d+ "!

-?,y, +!taC+ y , d+?+d+ d+ "!

y , d+?+d+ d+ "!, +!taC+ y , d+?+d+ d

rr511


&'( 11

! ;=3 1.50 cm 103.5 g/cm

= 0.18: cm2531.00 g/cm


1!.mi .8:0 mm


! ;=2 1.50 cm :6.2 g/cm

= 0.082 cm1683.00 g/cm

-d,?tam,! ! =2.00 mm

$+ *!arH : ?aca! d+ 2 mm y + +!?+!,r t,ta !+rH = 61mm > : 2 mm = =>+,, mm


18/27

66 cm

%%1))

S - .+/:

2:0

; (0.125 0.011.5

= 1.0103.:5 (1

3 12 6.67 ;

t+



19/27

AK


20/27

%&' ( )


21/27


22/27

PD= 70.00 t PL= 22.00 t = 0.010 rad L.viga = 30.00 m

12G = .00 Kg/cm Fy = 36 !i Fy = 2531 Kg/cm

= 20 Q9

-c,rt. ?,r ?,!t+!ad, 1.00 cm

-c,rt. ?,r c,tracci d+ Q9 0.20 cm


PD= 70.00 tPL= 22.00 tPt= 2000.00 g

"!#=1.66G$ #=112.00 g/cm %&'(8)

L*+g,

-r+*+rida=P

=2000

= 821 cm

"! 112

D = 32.33 cm 35 cm - = 62 cm 82


"! #=1.66G$ #= 122 g/cm %&'(8) 12G = .00 Kg/cm

!i+d,"!= Pt

= 5.62 Kg/cm $ ;=

"!

= :.80- 1.66G

9arga viva

"L #= 0.66G$ %&'(8)! G= 12 g/cm

"L= PL == 22.87 Kg/cm $ ;=

"!= 1.15

- 1.66G


&'(7

Para carga t,ta

#= 25= 1.82 cm

Gr,!,r d+ ca?a it+ri,r ad,?tad,

: :.80 ri= 1.50 cm %15.00)mm


$= 25 = 5.83 ; $ = :.80: 1.50 AK


%&' ( )

2

0.75 12 5.83 0.01 35





23/27

Pt 1.50 cm

. ( . .

:. n = 3

$+ *!arH 3ca?a! it+ri,r+! d+ 15 mm c/*9a?a! + 26 mm = 57.00 mm

) 0cortamiento de &i1a2or temperatura3- 10.80(06 /Q9 %c,cr+t,)

= 20 Q9L.viga = 30.00 m

4temp - 10.80(06/R9 20R9 3000 cm = 0.65 cm

2or postensado

post - 1.00 cm

2or postensadocontraccin de fra1uapost - 0.20 cm

1.2 %&& ( 15) %$+rvici,)

0cortamiento total de &i1a51.2 1.2 %0.6:8 cm > 1 cm > 0.2 cm) = 2.22 cm

&' (

rt = 5.70 cm 2 2.22 = :.:: cm AK

1) Capacidad 6otacional del 0po%o7e8e$in instant#nea por compresin

, "!= 5.62 g/cm = .38 S?a&' ( 8

$ = 5.83

D+ a Jg*ra

9: - 6.20

9,m,

= : 0.062 1.5

= 0.372 cm

Capacidad rotacional del apo%o

m#$ - T = 2TL/2 L

= 2 0.372 cmUUU

AK35.00 cm

Con < -


24/27


- = 0.23 B= 1.07&'(10

a?,y, !+rH +!taC+ !i

&' ( 10

2 % 0.23 ) #= 1.070.:5 #= 1.07 AK

9,m, , !+ c*m?+ a +c*aci 1 2- #= B ?ara a?,y, JI, !+ *!arH a +c*aci :

&' ( 11

"! = 5.62 12 5.83

(= 113.08 V.$ 0.225661:766:325 ( 1.0


&'( 11

! ;=3 1.50 cm 5.6 g/cm

= 0.170 cm2531.00 g/cm


1!.mi .700 mm


! ;=2 1.50 cm 22. g/cm

= 0.0:1 cm1683.00 g/cm

-d,?tam,! ! =2.00 mm

$+ *!arH : ?aca! d+ 2 mm y + +!?+!,r t,ta !+rH = 57mm > : 2 mm = =+,, mm


25/27

B.viga = 0.:5 m

cm

%%1))

S - .+?,

%&' ( )

2

351.5

t+



26/27

5.62 (1 .

2.5 12 5.83

AK


27/27

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