ESTRIBO_15_4

7/23/2019 ESTRIBO_15_4

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DISEÑO DEL ESTRIBO PUENTE ANTA PAMPA

L puente 15:=

CARGA MUERTA

hf 0.18:= Acalzada 4:= γ c 24 kN

m3

:= Aviga 0.59m2:= Nvigas 2:=

h b!dill 0.45:= b b!dill 0.20:= bace!a 0.4":= hace!a 0.15:=

b ba!anda 0.15:= h ba!anda 0.125:=

#lsa hf Acalzada⋅ L puente⋅ γ c⋅:= #lsa 259.2 k ⋅=

#vigas Aviga L puen te⋅ γ c⋅ Nvigas⋅:= #vigas 424.8 kN⋅=

# b!dill$ace!a h b!dill b b!dill⋅ bace!a h ace!a⋅+( ) L puente⋅ γ c⋅ 2⋅:=

# b!dill$ace!a 115.5% k ⋅=

# ba!an$ ps t 880kg:=# ba!an$ ps t 8.%3 kN⋅=

#& #lsa #vigas+ # b!dill$ace!a+ # ba!an$ ps t+:=

#& 808.19 kN⋅=

' (

#&

2:= ' ( 404.095 k ⋅=

bdiaf!agma 0.20:= hdiaf!agma 1.10:= Ldiaf!agma 2.0":=

#(iaf!agma bdiaf!agma hdiaf!agma⋅ Ldiaf!agma⋅ γ c⋅ 8⋅:=#(iaf!agma 8".43" k ⋅=

' (iaf!agma

#(iaf!agma

2:=

' (iaf!agma 43."18 k ⋅=

CARGA VIVA

#e)e 145.30kN:= Nvias 1:=

' L #e)e 1 0."313+0.4%25

4+

⋅ Nvias⋅:=

' L 2%8.358 kN⋅=

7/23/2019 ESTRIBO_15_4


FUERZAS LONGITUDINALES

FRENADO APLICADO A 1.8m

*e*uivalente 9.5 kN

m:= L puen te 15m= +m 81."k :=

,L$h 0.05 *e*uivalente L pue nte⋅ +m+( )⋅ Nvias⋅:=

,L$h 11.21 k ⋅=

,L$h$ap-

,L$h

2:= ,L$h$ap- 5.%05 kN⋅=

FUERZAS VERTICALES

hviga$lsa 1.35:=

,L$v ,L$h1. 8m hviga$lsa+

L puente

⋅:=

,L$v 2.354 kN⋅=

VIENTO SOBRE CARGA MUERTA (superestrutur!"

Area losa viga bordillohviga$b!dill$lsa 1.55:=

A

viga$b!dill$lsa

L

puente

h

viga$b!dill$lsa⋅:=

Aviga$b!dill$lsa 23.25m2=

Area del barandado tipo P-

N pstes 8:= N pasamans 2:=

A ps tes 0.9m 0.2⋅ m N ps tes⋅:= A ps tes 1.44 m2=

A ba!and as 0.125m L puente⋅ N pas amans⋅:= A ba!andas 3."5m2=

Attal$supe! Aviga$b!dill$lsa A ps tes+ A ba!and as+:=

Attal$supe! 28.44m2=

Aviga$b!dill$lsa

hviga$b!dill$lsa

2⋅ A ps tes hviga$b!dill$lsa

0.9m

2+

⋅+ 0.125m L puen te⋅ hviga$b!dill$lsa 0.31m+

⋅+

Attal$supe!

=

+ 1.01" m=

7/23/2019 ESTRIBO_15_4


VIENTO SOBRE CARGA MUERTA (#$%&'tu'%!#"

/L$ %0 kgf

m2

Attal$supe! ⋅ :=

/L$ 1%."34 kN⋅=

ve!tical

/L$

/L$ +⋅

L puen te

:=

/L$ 1.135 kN⋅=

VIENTO SOBRE CARGA MUERTA

(tr!%s)ers!#"

/ 2.45kN

m2

Attal$supe! ⋅ :=

/ %9.%"8 k ⋅=

VIENTO SOBRE CARGA VIVA

VIENTO SOBRE CARGA VIVA (#$%&'tu'%!#* )ert'!#"

/LL$ %0kgf

mL puente⋅

:=

/LL$ 8.82% kN⋅=

/LL$

/LL$ 1.8m hviga$lsa+( )⋅

L puente

:=

/LL$ 1.853 kN⋅=

7/23/2019 ESTRIBO_15_4


VIENTO SOBRE CARGA VIVA (tr!%s)ers!#"

/LL$ 150kgf

mL puente⋅

:=

/LL$ 22.0%5 kN⋅=

RESUMEN DE CARGAS VERTICALES

Lest!ib 5.%:=

!arga "#erta ' ( 45.422 tn⋅=

!arga viva ' L 2%8.358 kN⋅=

$renado verti%al ,L$v 2.354 kN⋅=

&iento s#perestr#%t#ra verti%al /L$ 1.135 kN⋅=

&iento %arga viva verti%al /LL$ 1.853 k ⋅=

RESUMEN DE CARGAS +ORIZONTALES

$#er'a de (renado )ori'ontal ,L$h$ap- 5.%05 kN⋅=

&iento s#perestr#%t#ra )ori'ontal /L$ 1%."34 k ⋅=

&iento %arga viva )ori'ontal /LL$ 8.82% k ⋅=

7/23/2019 ESTRIBO_15_4


Datos estribo para peso propio

γ s 18 kN

m3

:= γ c 24 kN

m3

:= φ 30deg:= +, 0.%:=

a 0.%5:= f 3:= n 1.5:=

b 0.3:= g 0.9:= 0.23:=

c 150c:= i 0.%5:= ( 1.5:=

d 0.3:= ) 1:=

e 0.50:= k 0.25:=

c g+ f + d+ e+:= p n i+ k + )+:=

%.2 m= p 3.4 m=

Elemento Area carga Brazo AreaxBrazo

I A1 b c d+ ⋅ γ c 1⋅ m ⋅:= 61 ) k + i+ b

2+:= A61 A1 61⋅:=

A1 12.9% k ⋅= 61 2.05m= A61 2%.5%8 kN⋅⋅=

II A2 1

2 b⋅ e⋅ γ c 1⋅ m ⋅:= 62 ) k + i+

b

3+:= A62 A2 62⋅:=

A2 1.8 kN⋅= 62 2 m=A62 3.% kN⋅⋅=

77 A3 f a⋅ γ c 1⋅ m ⋅:= 63 ) k + i

2+:= A 63 A 3 63⋅:=

A3 4%.8 kN⋅= 63 1.5"5m=A63 "3."1 kN⋅⋅=

7 A4 1

2f ⋅ k ⋅ γ c 1⋅ m ⋅:= 64 )

2

3i⋅+:= A 64 A 4 64⋅:=

A4 9 kN⋅= 64 1.433 m= A64 12.9 kN⋅⋅=

A5 p g⋅ γ c 1⋅ m ⋅:= 65

p

2:= A 65 A 5 65⋅:=A5 "3440N= 65 1." m= A65 124.848 kN⋅⋅=

7A % 0.5b e⋅ γ s 1⋅ m ⋅:= 6% ) k + i+

2

3 b+:= A 6% A % 6%⋅:=

A% 1.35 kN⋅= 6% 2.1m= A6% 2.835 kN⋅⋅=

7/23/2019 ESTRIBO_15_4


7A" n b− c d+ e+ ⋅ γ s 1⋅ m ⋅:= 6" ) k + i+ b+

n b−2

+:= A6" A" 6"⋅:=

A" 49.%8 k ⋅= 6" 2.8m= A6" 139.104 kN⋅⋅=

77 A8 n f d− e− ⋅ γ s 1⋅ m ⋅:= 68 ) k + i+ n2 +:= A 68 A 8 68⋅:=

A8 59.4 kN⋅= 68 2.%5m= A68 15".41 kN⋅⋅=

&!esistente$$ A 61 A 62+ A63+ A64+ A65+ A6%+ A6"+ A68+ :=

&!esistente$$ 540.9"5 kN⋅⋅=

#esttal$$ A1 A2+ A3+ A4+ A5+ A%+ A"+ A8+ :=

#es

ttal$$

254.43 kN⋅=

χ&!esistente$$

#esttal$$

:=

χ 2.12%m=

E"p#*e del Terreno +E,para estabilidad

φ 30 deg⋅= %.2 m=

Empuje activo

a 1 m⋅ 1

2⋅ γ s⋅ ⋅ ⋅ tan 45 deg⋅ φ

2−

2

⋅:=

a 115.32 k ⋅=

-a

3:=

-a 2.0%"m=

Empuje pasivo p 1 m⋅

1

2⋅ γ s⋅ (

2⋅ tan 45 deg⋅ φ

2+

2

⋅:=

p %0."5 k ⋅=

- p(

3:=

- p 0.5m=

7/23/2019 ESTRIBO_15_4


!o"bina%iones de %argar#pos de %arga para dise.o rot#ra

Gr I 1.3*(D+1.!*"+1.3*E#

Gr II 1.3*(D+1.3*E+$#

Gr III 1.3*(D+"+1.3*E+%.3*$+$"+"&#

r#pos de %arga para estabilidad servi%io

Gr I D+"+E 1%%'

Gr II D+E+$ 1)'

Gr III D+E+%.3*$+$"+"& 1)'

D/E ETAPA DE !ONSTRU!!ION

&E,A -I,/0A" 22E/0 &"E0 4 E245E DE 0IEA6

a 115.32 kN⋅=

&v a - a⋅ p - p⋅−:=

&v 20".953 kN⋅⋅=

46II/ DE "A E6"0A/0E etapa 7e construccion

:!esultante$etapa$de$cnst!uccin&!esistente$$ &v−

#esttal$$

:=

:!esultante$etapa$de$cnst!uccin 1.309m=

"A E8E/0IIDAD 6EA

eetapa$de$cnst!uccin p

2:!esultante$etapa$de$cnst!uccin−:=

eetapa$de$cnst!uccin 0.391m= menor a p

%

0.5%"m=

0E/6I/E6 E/ E" 6E"

σ1#es ttal$$

p 1⋅ m1 %

eetapa$de$cnst!uccin

p⋅+

⋅:= σ1 1.29

kgf

cm2

⋅= σadm 1.8 kgf

cm2

:=

σ2#es ttal$$

p 1⋅ m1 %

eetapa$de$cnst!uccin

p⋅−

⋅:= σ2 0.23%

kgf

cm2

⋅=

7/23/2019 ESTRIBO_15_4


9EI&IAI/ A" 9"A2IE/0

,vlte

&!esistente$$

&v

:= ,vlte 2.%01= 2a:or a

9EI&IAI/ A" DE6"I,A2IE/0

,deslizamient

#esttal$$ +,⋅

a p−:=

,deslizamient 2."9"= 2a:or a 1.)

r I D/L/E ETAPA DE SER&I!IO 011 2

#esttal$g!up$7

' (

Lest!ib

' L

Lest!ib

+#esttal$$

1m+

1:=

#esttal$g!up$7 3"4.511 k ⋅=

*sb!eca!ga 10 kN

m2

:=

1m 1

2γ s⋅ ⋅ 2

*sb!eca!ga

γ s⋅+

⋅ tan 45 deg⋅

φ2

− 2

⋅:=

135.98" k ⋅=

-

2

3*sb!eca!ga

γ s⋅+

3 2*sb!eca!ga

γ s⋅+

:=

- 2.224m=

&v$';#<$7 -⋅:=

&v$';#<$7

302.395 kN⋅⋅=

∆& ';#<$7 &!esistente$$

' (

Lest!ib

) i+ 0.33m+ ⋅ 1⋅ m+' L

Lest!ib

) i+ 0.33m+ ⋅ 1⋅ m+ &v$';#<$7− p - p⋅+:=

∆& ';#<$7 50%."1% kN⋅⋅=

46II/ DE "A E6"0A/0E etapa 7e servicio

:!esultante$etapa$de$se!vici$7

∆& ';#<$7

#esttal$g!up$7

:=

7/23/2019 ESTRIBO_15_4


:!esultante$etapa$de$se!vici$7 1.353m=

"A E8E/0IIDAD 6EA

eetapa$de$se!vici$7 p

2

:!esultante$etapa$de$se!vici$7−:=

eetapa$de$se!vici$7 0.34"m= menor a p

%0.5%"m=

0E/6I/E6 E/ E" 6E" G4 I

σ17

#es ttal$g!up$7

p 1⋅ m1 %

eetapa$de$se!vici$7

p⋅+

⋅:= σ17 1.811

kgf

cm2

⋅=

σadm 1.8 kgf

cm2

⋅=

σ27

#es ttal$g!up$7

p 1⋅ m1 %

eetapa$de$se!vici$7

p⋅−

⋅:= σ27 0.435 kgf

cm2⋅=


&!esistente$7 &!esistente$$

' (

Lest!ib

) i+ 0.33m+ ⋅ 1⋅ m+' L

Lest!ib

) i+ 0.33m+ ⋅ 1⋅+:=

,vlte$7

&!esistente$7

&v$';#<$7 p - p⋅−( ):= ,vlte$7 2.8%3=2a:or a


,deslizamient$7

#esttal$g!up$7 +,⋅

p−:=

,deslizamient$7 2.98"= 2a:or a 1.)

7/23/2019 ESTRIBO_15_4


Estabilidad estado de servi%io

r II D/E/3 0452

#esttal$g!up$77

' (

Lest!ib

#esttal$$

1m+

/L$

Lest!ib+ 1:=

#esttal$g!up$77 32%."92 kN⋅=

*sb!eca!ga 10 kN

m2

⋅=

1m 1

2γ s⋅ ⋅ 2

*sb!eca!ga

γ s⋅+

⋅ tan 45 deg⋅

φ2

− 2

⋅:=

135.98" kN⋅=

-

2

3*sb!eca!ga

γ s⋅+

3 2*sb!eca!ga

γ s⋅+

:=

- 2.224m=

&v$';#<$77 -⋅:=

&v$';#<$77 302.395 kN⋅⋅=

∆& ';#<$77 &!esistente$$

' (

Lest!ib

) i+ 0.33m+ ⋅ 1⋅ m+ &v$';#<$77−/L$

Lest!ib

c− 1.20m+ ⋅ 1⋅ m− p - p⋅+:=

∆& ';#<$77 394.201 kN⋅⋅=



∆& ';#<$77

#esttal$g!up$77

:=

:!esultante$etapa$de$se!vici$77 1.20%m=

"A E8E/0IIDAD 6EA


2:!esultante$etapa$de$se!vici$77−:=

7/23/2019 ESTRIBO_15_4


eetapa$de$se!vici$77 0.494 m= menor a p

%0.5%"m=

0E/6I/E6 E/ E" 6E" G4 II

σ177

#es ttal$g!up$77

p 1⋅ m1 %

eetapa$de$se!vici$77

p⋅+

⋅:= σ177 1.834

kgf

cm2

⋅=

σadm 1.8 kgf

cm2

⋅=

σ277

#es ttal$g!up$77

p 1⋅ m1 %


p⋅−

⋅:= σ277 0.12%

kgf

cm2

⋅=



' (

Lest!ib ) i+ 0.33m+ ⋅ 1⋅+:=

,vlte$77

&!esistente$77

&v$';#<$77 p - p⋅−( ):= ,vlte$77 2.514= 2a:or a


,deslizamient$77


p−

/L$

Lest!ib 1⋅ m+

:=

,deslizamient$77 2.50"= Mo"ento en A2a:or a 1.)

&v$';#<$77 p - p⋅− 2"2.02 kN⋅⋅=

Estabilidad estado de servi%io

r III D/L/E/1673/3L/L$0452

#esttal$g!up$777

' (

Lest!ib

' L

Lest!ib

+#esttal$$

1m+

0.3/L$

Lest!ib

+/LL$

Lest!ib

+,L$v

Lest!ib

+

1:=

#esttal$g!up$777 3"5.323 kN⋅=

*sb!eca!ga 10 kN

m2

⋅=

7/23/2019 ESTRIBO_15_4


1m 1

2γ s⋅ ⋅ 2

*sb!eca!ga

γ s⋅+

⋅ tan 45 deg⋅

φ2

− 2

⋅:=

135.98" kN⋅=

-

2

3*sb!eca!ga

γ s⋅+

3 2*sb!eca!ga

γ s⋅+

:=

- 2.224m=

&v$';#<$777 -⋅:=

&

v$';#<$777

302.395 kN⋅⋅=

';#<$777 &!esistente$$

' (

Lest!ib

) i+ 0.33m+ ⋅ 1⋅ m+' L

Lest!ib

) i+ 0.33m+ ⋅ 1⋅ m+ &v$';#<$777−0.3/L$

Lest!ib

c− 1.2+ ⋅ −:=

∆& ';#<$777 482.419 kN⋅⋅=



∆& ';#<$777

#esttal$g!up$777

:=

:!esultante$etapa$de$se!vici$777 1.285m=

"A E8E/0IIDAD 6EA


2:!esultante$etapa$de$se!vici$777−:=

eetapa$de$se!vici$777 0.415 m= menor a p

%0.5%"m=

0E/6I/E6 E/ E" 6E" G4 III

σ1777

#esttal$g!up$777

p 1⋅ m1 %


p⋅+

⋅:= σ1777 1.949

kgf

cm2

⋅=

σadm 1.8 kgf

cm2

⋅=

σ2777

#esttal$g!up$777

p 1⋅ m1 %


p⋅−

⋅:= σ2777 0.302

kgf

cm2

⋅=

7/23/2019 ESTRIBO_15_4




' (

Lest!ib

) i+ 0.33m+ ⋅ 1⋅ m+' L

Lest!ib

) i+ 0.33m+ ⋅ 1⋅+:=

&!esistente$777 ""8."35 kN⋅⋅=

,vlte$777

&!esistente$777

&v$';#<$777 p - p⋅−0.3/L$

Lest!ib

c− 1.20m+ ⋅ 1⋅ m+/LL$

Lest!ib

1.8m+ ⋅ 1⋅ m+,L$h$ap-

Lest!ib

1.8m+ ⋅ ⋅+

:=

,vlte$777 2.%14= 2a:or a

&v$';#<$777 p - p⋅−0.3/L$

Lest!ib

c− 1.20m+ ⋅ 1⋅ m+/LL$

Lest!ib

1.8m+ ⋅ 1⋅ m+,L$h$ap-

Lest!ib

1.8m+ ⋅ 1⋅ m+ 29".925 kN⋅⋅=


#esttal$g!up$777 3"5.323 k ⋅=

,deslizamient$777


p−0.3/L$ /LL$+ ,L$h$ap-+( )

Lest!ib

1⋅ m+

:=

,deslizamient$777 2.8%1=2a:or a 1.)

Analisis Estr#%t#ralPantalla S#perior

c 1.5 m=

pant alla 1m 1

2γ s⋅ c⋅ c 2

*sb!eca!ga

γ s⋅+

⋅ tan 45 deg⋅

φ2

− 2

⋅:=

pant alla 11."5 kN⋅=

- pantalla.

c2

3c*sb!eca!ga

γ s⋅+

3 c 2*sb!eca!ga

γ s⋅+

:=

- pant alla. 0.%0%m=

7/23/2019 ESTRIBO_15_4


& pantalla 1.3 1.3 pantalla⋅ - pantalla.⋅( ):=

& pantalla 12.041 kN⋅⋅=

f=c 210

kgf

cm2:= f - 4200

kgf

cm2:= d pant 25c:= b pant 100c:=

'u& pantalla

0.9 b pant⋅ d pant2

⋅:=

'u 21828."25 kgf

m2

⋅=

ρnec 0.85f=c

f -

⋅ 1 1 2 'u

0.85f=c⋅

⋅−− :=

ρnec 0.000523=

ρmin 0.0025:=

As min ρmin b pant⋅ d pant⋅:=

As min %.25 cm2⋅= φ12 c ;1

Arma7ura por temperatura AA6-0 ).)

As

1

8

in2

ft⋅:=

As 2.%4% cm

2

m⋅= φ10 c ;3%

!UERPO DEL ESTRIBO !al%#lo de Mo"ento en labase del &astago

7++7<N +A'A #i 6'A>< &<&N<

7 c d+ b⋅ γ c⋅ 1⋅ #7 c d+ b⋅ γ c⋅ 1⋅:= 67 a b

2+:= &7 #7− 67⋅:=

#7 12.9% kN⋅= 67 0.8m= &7 10.3%8− kN⋅⋅=

771

2 b⋅ e⋅ γ c⋅ 1⋅ #77

1

2 b⋅ e⋅ γ c⋅ 1⋅:= 677 a

1

3 b⋅+:= &77 #77− 677⋅:=

#77 1.8 kN⋅= 677 0."5 m= &77 1.35− kN⋅⋅=

77 a f ⋅ γ c⋅ 1⋅ #777 a f ⋅ γ c⋅ 1⋅:= 6777a

2:= &777 #777− 6777⋅:=

7/23/2019 ESTRIBO_15_4


#777 4%.8 kN⋅= 6777 0.325m= &777 15.21− kN⋅⋅=

71

2a f ⋅ γ c⋅ 1⋅ #7

1

2a f ⋅ γ c⋅ 1⋅:= 67

k

3:= &7 #7 67⋅:=

#7 23.4 kN⋅= 67 0.083m= &7 1.95 kN⋅⋅=

&vastag$ttal &7 &77+ &777+ &7+:= &vastag$ttal 24.9"8− kN⋅⋅=

2omento por carga muerta 7e la superestructura

&(

' (

Lest!ib

0.32⋅ m 1⋅:= &( 23.091 kN⋅⋅=

2omento por carga viva

&

' L

Lest!ib 0.32⋅ m 1⋅:= & 15.335 kN⋅⋅=

2omento por empuje 7e tierras

Para el dise.o del vastago

v 1 m⋅ 1

2⋅ γ s⋅ g− ⋅ g− 2

*sb!eca!ga

γ s⋅+

⋅ tan 45 deg⋅

φ2

− 2

⋅:=

v 10394.%4" kg⋅=

-v g

−3

g− 3*sb!eca!ga

γ s

⋅+

g− 2*sb!eca!ga

γ s⋅+

⋅:= -v 1.92 m=

& v -v⋅:=

& 195.%94 kN⋅⋅=

2omento por viento en la superestructura

&/$

/L$ f 1.20m+ ⋅ /L$ 0.32⋅ m−

Lest!ib

1⋅:=

&/$ 12.48% kN⋅⋅=

2omento por viento en la carga viva

&/$L

/LL$ g− 1.8m+ ⋅ /LL$ 0.32⋅ m−

Lest!ib

1⋅:=

&/$L 11.084 kN⋅⋅=

7/23/2019 ESTRIBO_15_4


2omento por <uerza 7e <rena7o

&L,

,L$h$ap- g− 1.8m+ ⋅ ,L$v 0.32⋅ m−

Lest!ib

1⋅:=

&L, %.9"2 kN⋅⋅=

r I 067+D/06897L/067E,

&;$';#<$7 1.3 &vastag$ttal &(− 1.%" &⋅− 1.3 &⋅+( )⋅:=

&;$';#<$7 234.941 kN⋅⋅=

r II 067+D/067E/3,

&;$';#<$77 1.3 &vastag$ttal &(− 1.3 &⋅+ &/$+( )⋅:=

&;$';#<$77 284.4%4 kN⋅⋅=

r III 067+D/L/067E/1673/3L/L$,

&;$';#<$777 1.3 &vastag$ttal &(− &− 1.3 &⋅+ 0.3&/$ + &/$L+ &L,+( )⋅:=

&;$';#<$777 2"%.%39 kN⋅⋅=

D'se,$ e# re-uer$ e !er$ e p!%t!##!

&;$';#<$77 2900".24 m kg⋅= f - 4200 kgf

cm2

:= f=c 210 kgf

cm2

:=

&u &;$';#<$77:=

dvastag i k + 5c−:= dvastag 0.85m=

bvastag

100 c⋅:=

'u&u

0.9 bvastag⋅ dvastag2⋅

:=

'u 44%09.3%5 kgf

m2

⋅=

ρ 0.85f=c

f -

⋅ 1 1 2 'u

0.85f=c⋅⋅−−

:=

7/23/2019 ESTRIBO_15_4


ρ 0.0010"%=

ρmin$mu!s 0.0025:= ;A'

Ar"ad#ra Prin%ipal

As vastag ρmin$mu!s dvastag⋅ bvastag⋅:=

As vastag 21.25 cm2⋅= φ20 c ; 1.)

As 0.0033 dvastag⋅ bvastag⋅:=

As 28.05 cm2

⋅=

Ar"ad#ra Transversal Prin%ipal

A s 0.25 Asvastag( )⋅:=

As 5.313 cm

2

⋅= φ12c ; %

Ar"ad#ra Posterior &erti%al

ρ $p ste!i! 0.000%:=

As ρ $p st e!i! dvastag bvastag⋅( )⋅:=

A s 5.1 cm2⋅= φ12 c ; %

Ar"ad#ra Tansversal Posterior

As 2.%5 cm

2

m:= φ10 c ; 3%

7/23/2019 ESTRIBO_15_4


Dise.o de la 'apata ba*o %argas del gr#po I

r I 067+D/06897L/067E,

S#"a de las (#er'as verti%ales

#esg!up$7 1.3' (

Lest!ib

#esttal$$

1m+ 1.%"

' L

Lest!ib

⋅+

1:=

#esg!up$7 528.%03 kN⋅=

∆& ';$7 1.3 &!esistente$$

' (

Lest!ib

) i+ 0.33m+ ⋅ 1⋅ m+ 1.%"' L

Lest!ib

) i+ 0.33m+ ⋅ 1⋅ m+ 1.3 &v$';#<$7 p - p⋅−( )−

⋅:=

∆&

';$7

%35.28% kN⋅⋅=

=icacion 7e la esultante

:!esultante$7

∆& ';$7

#esg!up$7

:=

:!esultante$7 1.202m=

"A E8E/0IIDAD 6EA

e $7

p

2 :!esultante$7−:=

e $7 0.498 m=

0E/6I/E6 E/ E" 6E" G4 I

σ1 $7

#esg!up$7

p 1⋅ m1 %

e $7

p⋅+

⋅:= σ1 $7 2.9"9

kgf

cm2

⋅=

σ2 $7#esg!up$7

p 1⋅ m1 %

e $7

p⋅− ⋅:= σ2 $7 0.192

kgf

cm2

⋅=

7/23/2019 ESTRIBO_15_4


r II 067+D/N:s,


#esg!up$77 1.3

' (

Lest!ib

#esttal$$

1m+

/L$

1m+

1:=

#esg!up$77 42%.042 k ⋅=

∆& ';$77 1.3 &!esistente$$

' (

Lest!ib

) i+ 0.33m+ ⋅ 1⋅ m+ 1.3 &v$';#<$77 p - p⋅−( )−

⋅:=

∆& ';$77 429.294 kN⋅⋅=


:!esultante$77

∆& ';$77

#esg!up$77

:=

:!esultante$77 1.008m=

"A E8E/0IIDAD 6EA

e $77 p

2:!esultante$77−:=

e $77 0.%92 m=

0E/6I/E6 E/ E" 6E" G4 II

σ1 $77

#esg!up$77

p 1⋅ m1 %

e $77

p⋅+

⋅:= σ1 $77 2.839

kgf

cm2

⋅=

σ2 $77

#esg!up$77

p 1⋅ m1 %

e $77

p⋅−

⋅:= σ2 $77 0.283−

kgf

cm

2⋅=

r III 067+D/L/16N:;/N:Lv/NL$,


#esg!up$777 1.3' (

Lest!ib

' L

Lest!ib

+#esttal$$

1m+ 0.3

/L$

Lest!ib

+/LL$

Lest!ib

+,L$v

Lest!ib

+

1:=

#esg!up$777 48".92 kN⋅=

7/23/2019 ESTRIBO_15_4


';$777 1.3 &!esistente$$

' (

Lest!ib

) i+ 0.33m+ ⋅ 1⋅ m+' L

Lest!ib

) i+ 0.33m+ ⋅ 1⋅ m+ 1.3 &v$';#<$777 p - p⋅−( )− 0.3/

Les

⋅−

⋅:=

∆& ';$777 521.3%% kN⋅⋅=


:!esultante$777

∆& ';$777

#esg!up$777

:=

:!esultante$777 1.0%9 m=

"A E8E/0IIDAD 6EA

e $777 p

2:!esultante$777−:=

e $777 0.%31m=

0E/6I/E6 E/ E" 6E" G4 III

σ1 $777

#esg!up$777

p 1⋅ m1 %

e $777

p⋅+

⋅:= σ1 $777 3.094

kgf

cm2

⋅=

σ2 $777

#esg!up$777

p 1⋅ m1 %

e $777

p⋅−

⋅:= σ2 $777 0.1%"−

kgf

cm2

⋅=

MOMENTOS EN ! < D

7++7<N +A'A #i 6'A>< &<&N<

7 ( g− )⋅ γ s⋅ 1⋅ #+$7 ( g− )⋅ γ s⋅ 1⋅:= 6+$7 )

2:= &+$7 #+$7 6+$7⋅:=

#+$7 10.8 k ⋅= 6+$7 0.5m= &+$7 5.4 kN⋅⋅=

77 g )⋅ γ c⋅ 1⋅ #+$77 g )⋅ γ c⋅ 1⋅ m := 6+$77 )

2:= &+$77 #+$77 6+$77⋅:=

#+$77 21.% k ⋅= 6+$77 0.5m= &+$77 10.8 kN⋅⋅=

&($+$+ &+$7 &+$77+:=

7/23/2019 ESTRIBO_15_4


&($+$+ 1%.2 kN⋅⋅=

&+$+ 1.3− &($+$+⋅ ) 2."%⋅ kgf

cm2

)

2⋅ 1⋅ m+

1

2 )⋅ 1."4⋅

kgf

cm2

2

3⋅ )⋅ 1⋅+:=

&+$+ 1"1.15 kN⋅⋅=

&u$zap$c$c &+$+:=

dzap g 5c−:= dzap 0.85 m=

bzap 100 c⋅:= f=c 210 kgf

cm2

⋅=

'uzap

&u$zap$c$c

0.9 bzap⋅ dzap2⋅

:=

'uzap 2%839.%43 kgf

m2

⋅=

ρzap$c$c 0.85f=c

f -

⋅ 1 1 2'uzap

0.85f=c⋅⋅−−

:=

ρzap$c$c 0.000%44=

ρmin$zap 0.0033:=;A'

Ar"ad#ra Prin%ipal

A s$ zap 1 ρmin$zap⋅ dzap⋅ bzap⋅:=

As$zap 28.05 cm2⋅= φ20 c ; 11

Ar"ad#ra Transversal

ρ $t!anv e!sal 0.0008:=

As$t!ans$cc 1.33ρ $t!anv e!sal dzap⋅ bzap⋅:=

As$t!ans$cc 9.044 cm2

⋅= φ1% c ; %

7/23/2019 ESTRIBO_15_4


7++7<N +A'A #i 6'A>< &<&N<

7 g− n⋅ γ s⋅ 1⋅ #($7 g− n⋅ γ s⋅ 1⋅:= 6($7n

2:= &($7 #($7 6($7⋅:=

%.42 5.%⋅ 2⋅ "1.904=

#($7 143.1 kN⋅= 6($7 0."5m= &($7 10".325 kN⋅⋅=12.% 0.2⋅ 4⋅ 10.08=

77 n g⋅ γ c⋅ 1⋅ #($77 n g⋅ γ c⋅ 1⋅ m := 6($77n

2:= &($77 #($77 6($77⋅:=

#($77 32.4 k ⋅= 6($77 0."5m= &($77 24.3 kN⋅⋅=

&($($( &($7 &($77+:=

&($($( 131.%25 kN⋅⋅=

&($( 1.3− &($($(⋅ 1

2n⋅ 1.8⋅

kgf

cm2

n

3⋅ 1⋅+:=

&($( 104.918− kN⋅⋅= f=c 210 kgf

cm2

⋅=

&u$zap$($( &($(−:=

d

zap

0.85m=

bzap 1 m=

'uzap

&u$zap$($(

0.9 bzap⋅ dzap2⋅

:=

'uzap 1%453.08% kgf

m2

⋅=

ρzap$($( 0.85f=c

f -

⋅ 1 1 2'uzap

0.85f=c⋅⋅−− :=

ρzap$($( 0.000394=

ρmin$zap 0.0033= ;A'

7/23/2019 ESTRIBO_15_4


Ar"ad#ra Prin%ipal

As$zap 1.33 ρmin$zap⋅ dzap⋅ bzap⋅:=

As$zap 3".30% cm

2

⋅= φ20c ; 1%

Ar"ad#ra Transversal

ρ $t!anv e!sal 0.0008=

As$t!ans$(c ρ $t!anve!sal dzap⋅ bzap⋅:=

As$t!ans$(c %.8 cm2

⋅= φ1% c ; %

ESTRIBO_15_4

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Transcript of ESTRIBO_15_4