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DIMENSIONAMIENTO DE ESCALERAMg. Ing. Genaro Delgado Contreras
ESCALERA INTERIOR TIPO : SIMPLEMENTE APOYADA1.- DATOS MATERIALES
Tipo y calidad del acero B 500 S 1.5 1.15 fyd 434.8 [Mpa]
Tipo y calidad del horm H 21 1.6 1.5 fcd 14 [Mpa] E
o!"rol de e#ec$cio!% &'(M)*
.- GEOMETRIA DE LA ESCALERA
Datos
t1= 1.12 m b = 1.33 m d = 2 m H = 2.63 m
t2= 2.24 m c = 0.175 m h = 0.28 m e = 0.15 m
Parametros de la escalera- Inclinacion de la escalera 32.005 [º
- !s"esor medio 0.2644 [m
!.- DETERMINACION DE LAS CARGAS- Analisis del tramo
- #ar$a %&erta
%od&lacion "ara 1 ' 1 [m (ncho de )a*a = 1 [m
+iso 8 [,m3 h = 1 [cm / = 0.08 [,m2 / =
#ontra"iso 22 [,m3 h = 2 [cm / = 0.44 [,m2 / =
osa de hormi$on 25 [,m3 hm = 26.44 [cm / = 6.61 [,m2 / =
eo&e de eso 12 [,m3 h = 2 [cm / = 0.24 [,m2 / =
γ +% γ a% fyαd
γ ,% γ h%
- =
hm =
15
6
14
15
Descanso
1
12
121,33 [m]
3 10
1
[ m
]
5
10
8
3,09 [m]
Barandado
3
11
2 [
m
]
9
2 , 4
2 5 [
m
]
13
2
1 [
m
]
114
9
7
Viga plana
25x20
0 , 2
[ m
]
2
1
0 , 2
[ m
]
13
Descanso4
Viga
25x35
8
0,2 [m]
14
1,12 [m]
756
0,28 [m]
iso ! con"rapiso 0 , 1
7 5
[ m
]
#e$o%&e de !eso
0 , 0
2 5
[ m
]
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/ =aranda / =
otal / =
/d =
- #ar$a ia%od&lacion "ara 1 ' 1 [m (ncho de )a*a = 1 [m
9e$:n orma 9obrecar$a 4.5 [,m2 ; = 4.5 [,m2 ; =
;d =
+ara el tramo la car$a de dise.00 [,m
- Analisis del descanso
- #ar$a %&erta
%od&lacion "ara 1 ' 1 [m (ncho de )a*a = 1 [m
+iso 8 [,m3 h = 1 [cm / = 0.08 [,m2 / =
#ontra"iso 22 [,m3 h = 2 [cm / = 0.44 [,m2 / =
osa de hormi$on 25 [,m3 15 [cm / = 3.75 [,m2 / =eo&e de eso 12 [,m3 h = 2 [cm / = 0.24 [,m2 / =
/ =
arandado / =
otal / =
/d =
- #ar$a ia
%od&lacion "ara 1 ' 1 [m (ncho de )a*a = 1.33 [m
9e$:n orma 9obrecar$a 4.5 [,m2 ; = 4.5 [,m2 ; =
;d =
+ara el descanso la car$a de dise
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Tramo 2
".- DISE#O DE LA ARMADURA DE RE$UER%O- Materiales
Hormi$on H 25 ?c = 25 [%"a 1.5 ?cd =
(cero 500 9 ? = 500 [%"a 1.15 ? =! = 200000 [%"a @d [A= 2.173>
- Datosec&brimiento d1 = d2 = 0.025 [m
(lt&ra losa h = 0.15 [m
(lt&ra &til d = 0.125 [m
(ncho b = 1.00 [m- Tramo 1
Tramo 1 & '
!sc. ("oo 0.00 0 0 0.00 43.48 0.00 2.7
!sc. ramo 15.00 0.06857 0.088874 124.42 43.48 2.86 2.7
Bescanso 15.00 0.06857 0.088874 124.42 43.48 2.86 2.7
- Tramo 2
Tramo 2 & '
!sc. ("oo 34.00 0.15543 0.212317 2>7.24 43.48 6.84 2.7
!sc. ramo 18.00 0.0822> 0.107478 150.47 43.48 3.46 2.7
Bescanso 18.00 0.0822> 0.107478 150.47 43.48 3.46 2.7
c /
y /
Md [KN-m]
Nc [KN]
σs1 [KN/cm2]
As1 [cm2]
As1 min [cm2]
As [
Md [KN-m]
Nc [KN]
σs1 [KN/cm2]
As1 [cm2]
As1 min [cm2]
As [
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- Diagramas de corte
Tramo 2
- Diseño corte tramo 1
Tramo ( )l Vc Vc min Vs Ast/!t
!scalera 22.00 2.00 0.0022> 42.1> 31.50 -20.1> 0.070 6.00
Bescanso 22.00 2.00 0.0022> 42.1> 31.50 -20.1> 0.070 6.00
"#!$ No necesita armadra de corte
- Diseño corte tramo 2
Vd [KN]
Diametro [mm]
Vd Diametro
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!scalera 41.00 2.00 0.00547 56.41 31.50 -15.41 0.070 8.00
Bescanso 23.50 2.00 0.00277 44.>5 31.50 -21.45 0.070 8.00
"#!$ No necesita armadra de corte
*.- DETERMINACION DE COM+INACIONES A USARSE- %scalera
Tramo 1 Armadra Tramo 2 Armadra
!sc. ("oo 2.70 C 10 c 20 3.>3 !sc. ("oo 6.84 C 12 c 15
!sc. ramo 2.86 C 10 c 20 3.>3 !sc. ramo 3.46 C 10 c 20
decanso 2.86 C 10 c 20 3.>3 decanso 3.46 C 10 c 20
[KN] [mm]
As [cm2]
As real [cm2]
As [cm2]
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CON UN DESCANSO
400 [Mpa]200000 [Mpa]
0.08 [,m0.44 [,m6.61 [,m0.24 [,m
1 , 5
7 5 [
m
]
0 , 8
7 5
[ m
]
6 Descanso
7
4
5
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7.37 [,m0.5 [,m
7.87 [,m1.5
11.80 [,m
4.5 [,m1.6
7.2 [,m
0.08 [,m0.44 [,m3.75 [,m0.24 [,m4.51 [,m0.50 [,m5.01 [,m1.50
7.52 [,m
4.50 [,m1.6
7.20 [,m
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16.6667 [%"a
434.783 [%"a
2.70
2.86
2.86
6.84
3.46
3.46
adopm2]
adopm2]
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0.57 0.00
0.57 0.00
Ast cm2]
!t [cm]
Ast !t
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1.01 0.00
1.01 0.00
7.54
3.>3
3.>3
cm2] [cm]
As real [cm2]
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&APATA '"M#
POS. DIMENSIONES PARCIALES , DIAM.No a / 0 d ,1 0.35 .54 0.35 32
2 0.35 .54 0.35 203 4.1 20
4 4.1 16
5 4.1 20
6 4.1 20
%!'A)%*A )A
POS. DIMENSIONES PARCIALES , DIAM.No a / 0 d ,1 0.55 3.25 1.2 0.55 12
2 0.55 3.25 1.2 0.55 12
3 0.8 0.5 0.8 1.15 8
4 0.55 3.25 1.2 0.55 12
5 0.15 0.26 3.28 1.3 8
6 0.4 3.2 1.13 0.54 12
0.4 3.2 1.13 0.54 12
8 0.4 3.2 1.13 0.54 12
0.36 3.2 1.2 0.32 8
10 0.8 0.5 0.8 1.15 8
11 0.28 2.45 2.45 0.28 10
12 0.28 2.45 2.45 0.28 10
13 0.2 0.3 0.2 0.38 6
14 0.28 2.45 2.45 0.28 10
15 0.28 2.45 2.45 0.28 10
16 0.2 0.3 0.2 0.38 6
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NADA
CANT. ONG. PARCLONG.TOTA ESO LINEA PESO,No , , ,g2 ,g32 .8 252.48 6.21 156.008
32 .8 252.48 2.4 623.6256 4.1 28. 2.4 0.88
22 4.1 0.2 1.58 142.516
24 4.1 8.4 2.4 243.048
5 4.1 241. 2.4 5.43
TOTAL 3245.424 &ADA
CANT. ONG. PARCLONG.TOTA ESO LINEA PESO,No , , ,g2 ,g1 5.55 4.35 0.8 83.15
3 5.55 16.65 0.8 14.8185
26 3. 6.2 0.3 3.518
3 5.55 16.65 0.8 14.8185
15 5.08 6.2 0.3 2.18
14 5.36 5.04 0.8 66.856
3 5.36 16.08 0.8 14.3112
3 5.36 16.08 0.8 14.3112
12 5.22 62.64 0.3 24.426
26 3. 6.2 0.3 3.518
4 5.46 21.84 0.62 13.5408
2 5.46 10.2 0.62 6.04
30 1.08 32.4 0.22 .128
2 5.46 10.2 0.62 6.04
2 5.46 10.2 0.62 6.04
30 1.08 32.4 0.22 .128
TOTAL 386.3081
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)MET(' ES' *&E)*
6 0.22
8 0.3
10 0.62
12 0.8
16 1.58
20 2.4
25 3.85
32 6.21