ESTRIBO_15_4
-
Upload
jaime-terrazas-claros -
Category
Documents
-
view
215 -
download
0
Transcript of ESTRIBO_15_4
7/23/2019 ESTRIBO_15_4
http://slidepdf.com/reader/full/estribo154 1/23
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
http://slidepdf.com/reader/full/estribo154 2/23
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$supe!
=
+ 1.01" m=
7/23/2019 ESTRIBO_15_4
http://slidepdf.com/reader/full/estribo154 3/23
VIENTO SOBRE CARGA MUERTA (#$%&'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
http://slidepdf.com/reader/full/estribo154 4/23
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
http://slidepdf.com/reader/full/estribo154 5/23
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
http://slidepdf.com/reader/full/estribo154 6/23
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
http://slidepdf.com/reader/full/estribo154 7/23
!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
http://slidepdf.com/reader/full/estribo154 8/23
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$7
:=
7/23/2019 ESTRIBO_15_4
http://slidepdf.com/reader/full/estribo154 9/23
:!esultante$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⋅=
9EI&IAI/ A" 9"A2IE/0
&!esistente$7 &!esistente$$
' (
Lest!ib
) i+ 0.33m+ ⋅ 1⋅ m+' L
Lest!ib
) i+ 0.33m+ ⋅ 1⋅+:=
,vlte$7
&!esistente$7
&v$';#<$7 p - p⋅−( ):= ,vlte$7 2.8%3=2a:or a
9EI&IAI/ A" DE6"I,A2IE/0
,deslizamient$7
#esttal$g!up$7 +,⋅
p−:=
,deslizamient$7 2.98"= 2a:or a 1.)
7/23/2019 ESTRIBO_15_4
http://slidepdf.com/reader/full/estribo154 10/23
Estabilidad estado de servi%io
r II D/E/3 0452
#esttal$g!up$77
' (
Lest!ib
#esttal$$
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$$
' (
Lest!ib
) i+ 0.33m+ ⋅ 1⋅ m+ &v$';#<$77−/L$
Lest!ib
c− 1.20m+ ⋅ 1⋅ m− p - p⋅+:=
∆& ';#<$77 394.201 kN⋅⋅=
46II/ DE "A E6"0A/0E etapa 7e servicio
:!esultante$etapa$de$se!vici$77
∆& ';#<$77
#esttal$g!up$77
:=
:!esultante$etapa$de$se!vici$77 1.20%m=
"A E8E/0IIDAD 6EA
eetapa$de$se!vici$77 p
2:!esultante$etapa$de$se!vici$77−:=
7/23/2019 ESTRIBO_15_4
http://slidepdf.com/reader/full/estribo154 11/23
eetapa$de$se!vici$77 0.494 m= menor a p
%0.5%"m=
0E/6I/E6 E/ E" 6E" G4 II
σ177
#es ttal$g!up$77
p 1⋅ m1 %
eetapa$de$se!vici$77
p⋅+
⋅:= σ177 1.834
kgf
cm2
⋅=
σadm 1.8 kgf
cm2
⋅=
σ277
#es ttal$g!up$77
p 1⋅ m1 %
eetapa$de$se!vici$77
p⋅−
⋅:= σ277 0.12%
kgf
cm2
⋅=
9EI&IAI/ A" 9"A2IE/0
&!esistente$77 &!esistente$$
' (
Lest!ib ) i+ 0.33m+ ⋅ 1⋅+:=
,vlte$77
&!esistente$77
&v$';#<$77 p - p⋅−( ):= ,vlte$77 2.514= 2a:or a
9EI&IAI/ A" DE6"I,A2IE/0
,deslizamient$77
#esttal$g!up$77 +,⋅
p−
/L$
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$$
1m+
0.3/L$
Lest!ib
+/LL$
Lest!ib
+,L$v
Lest!ib
+
1:=
#esttal$g!up$777 3"5.323 kN⋅=
*sb!eca!ga 10 kN
m2
⋅=
7/23/2019 ESTRIBO_15_4
http://slidepdf.com/reader/full/estribo154 12/23
1m 1
2γ s⋅ ⋅ 2
*sb!eca!ga
γ s⋅+
⋅ tan 45 deg⋅
φ2
− 2
⋅:=
135.98" kN⋅=
-
2
3*sb!eca!ga
γ s⋅+
3 2*sb!eca!ga
γ s⋅+
:=
- 2.224m=
&v$';#<$777 -⋅:=
&
v$';#<$777
302.395 kN⋅⋅=
';#<$777 &!esistente$$
' (
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+ ⋅ −:=
∆& ';#<$777 482.419 kN⋅⋅=
46II/ DE "A E6"0A/0E etapa 7e servicio
:!esultante$etapa$de$se!vici$777
∆& ';#<$777
#esttal$g!up$777
:=
:!esultante$etapa$de$se!vici$777 1.285m=
"A E8E/0IIDAD 6EA
eetapa$de$se!vici$777 p
2:!esultante$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$777
p 1⋅ m1 %
eetapa$de$se!vici$777
p⋅+
⋅:= σ1777 1.949
kgf
cm2
⋅=
σadm 1.8 kgf
cm2
⋅=
σ2777
#esttal$g!up$777
p 1⋅ m1 %
eetapa$de$se!vici$777
p⋅−
⋅:= σ2777 0.302
kgf
cm2
⋅=
7/23/2019 ESTRIBO_15_4
http://slidepdf.com/reader/full/estribo154 13/23
9EI&IAI/ A" 9"A2IE/0
&!esistente$777 &!esistente$$
' (
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⋅⋅=
9EI&IAI/ A" DE6"I,A2IE/0
#esttal$g!up$777 3"5.323 k ⋅=
,deslizamient$777
#esttal$g!up$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
http://slidepdf.com/reader/full/estribo154 14/23
& 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
http://slidepdf.com/reader/full/estribo154 15/23
#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
http://slidepdf.com/reader/full/estribo154 16/23
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
http://slidepdf.com/reader/full/estribo154 17/23
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
http://slidepdf.com/reader/full/estribo154 18/23
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$$
' (
Lest!ib
) i+ 0.33m+ ⋅ 1⋅ m+ 1.%"' L
Lest!ib
) i+ 0.33m+ ⋅ 1⋅ m+ 1.3 &v$';#<$7 p - p⋅−( )−
⋅:=
∆&
';$7
%35.28% kN⋅⋅=
=icacion 7e la esultante
:!esultante$7
∆& ';$7
#esg!up$7
:=
:!esultante$7 1.202m=
"A E8E/0IIDAD 6EA
e $7
p
2 :!esultante$7−:=
e $7 0.498 m=
0E/6I/E6 E/ E" 6E" G4 I
σ1 $7
#esg!up$7
p 1⋅ m1 %
e $7
p⋅+
⋅:= σ1 $7 2.9"9
kgf
cm2
⋅=
σ2 $7#esg!up$7
p 1⋅ m1 %
e $7
p⋅− ⋅:= σ2 $7 0.192
kgf
cm2
⋅=
7/23/2019 ESTRIBO_15_4
http://slidepdf.com/reader/full/estribo154 19/23
r II 067+D/N:s,
S#"a de las (#er'as verti%ales
#esg!up$77 1.3
' (
Lest!ib
#esttal$$
1m+
/L$
1m+
1:=
#esg!up$77 42%.042 k ⋅=
∆& ';$77 1.3 &!esistente$$
' (
Lest!ib
) i+ 0.33m+ ⋅ 1⋅ m+ 1.3 &v$';#<$77 p - p⋅−( )−
⋅:=
∆& ';$77 429.294 kN⋅⋅=
=icacion 7e la esultante
:!esultante$77
∆& ';$77
#esg!up$77
:=
:!esultante$77 1.008m=
"A E8E/0IIDAD 6EA
e $77 p
2:!esultante$77−:=
e $77 0.%92 m=
0E/6I/E6 E/ E" 6E" G4 II
σ1 $77
#esg!up$77
p 1⋅ m1 %
e $77
p⋅+
⋅:= σ1 $77 2.839
kgf
cm2
⋅=
σ2 $77
#esg!up$77
p 1⋅ m1 %
e $77
p⋅−
⋅:= σ2 $77 0.283−
kgf
cm
2⋅=
r III 067+D/L/16N:;/N:Lv/NL$,
S#"a de las (#er'as verti%ales
#esg!up$777 1.3' (
Lest!ib
' L
Lest!ib
+#esttal$$
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
http://slidepdf.com/reader/full/estribo154 20/23
';$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⋅⋅=
=icacion 7e la esultante
:!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 &+$77+:=
7/23/2019 ESTRIBO_15_4
http://slidepdf.com/reader/full/estribo154 21/23
&($+$+ 1%.2 kN⋅⋅=
&+$+ 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
http://slidepdf.com/reader/full/estribo154 22/23
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'