DIMENSIONAMIENTO DE ESCALERA Mg. Ing. Genaro Delgado Contreras ESCALERA INTERIOR 1.- DATOS MATERIALES Tipo y calidad del ace
B
500
Tipo y calidad del hor
H
21
S
TIPO :
SIMPLEMENTE APOYADA CON UN DESCANSO
g
*$
1.5
g
a$
1.15
fyd
g
+$
1.6
g
h$
1.5
fcd
Co!rol de e"ec#cio$
434.8 [Mpa] 14 14
fyad
[Mpa]
E
400
[Mpa]
200000 [Mpa]
%&'M()
.- GEOMETRIA DE LA ESCALERA 15 ] m [ 2 , 0
14 13
1,12[m]
1
2
4
3
Viga plana 25x20
5
13
12
11
] m [ 5 7 5 , 1
10 Descanso
8
Barandado
14
11 9
] m [ 1
15
12
1,33 [m]
10
9
8
7
] m [ 2
6
7
] m [ 5 2 4 , 2
6 5 4
Descanso
] m [ 1
3
0,2 [m]
] m [ 5 7 8 , 0
2
Viga 25x35 3,09 [m]
Descanso
1
] m [ 2 , 0
Datos t1= t2=
1.12 m 2.24 m
b= c=
1.33 m 0.175 m
d= h=
2 m 0.28 m
H= e=
2.63 m 0.15 m
Parametros de la escalera - Inclinacion de la escalera escalera - !s"e !s"esor sor medio medio
, = hm =
32.005 [º 0.2644 [m
!.- DETERMINACION DE LAS CARGAS - Analis Analisis is del tramo tramo
0,28 [m]
] m [ 5 7 1 , 0
iso ! con"rapiso ] m [ 5 2 0 , 0
#e$o%&e de !eso - #ar$ #ar$a a %&erta %&erta %od&lacion "ara +iso #ontra"iso osa de hormi$on eo&e de eso
1' 8 22 25 12
1 [m [,m3 [,m3 [,m3 [,m3
(ncho de )a*a = h= h= hm = h=
1 2 26.4 26.44 4 2
[cm [cm [cm [cm [cm
/ = / = / = / =
0.08 0.44 6.61 0.24
1
[m
[,m2 [,m2 [,m2 [,m2
/ = / = / = / =
0.08 0.44 6.61 0.24
[,m [,m [,m [,m
aranda otal
- #ar$a ia %od&lacion "ara 9e$:n orma
1'
1 [m
9obrecar$a
(ncho de )a*a = 4.5
[,m2
+ara el tramo la car$a de dise
; =
+1d =
4.5
1>.00
/ = / = / = -* /d =
7.37 0.5 7.87 1.5 11.80
[,m
; = -+ ;d =
4.5 1.6 7.2
[,m
/ = / = / = / = / = / = / = -* /d =
0.08 0.44 3.75 0.24 4.51 0.50 5.01 1.50 7.52
[,m
; = -+ ;d =
4.50 1.6 7.20
[,m
[,m [,m
[,m
1 [m [,m2
[,m
[,m
- Analisis del descanso - #ar$a %&erta %od&lacion "ara +iso #ontra"iso osa de hormi$o eo&e de eso
1' 8 22 25 12
1 [m [,m3 [,m3 [,m3 [,m3
(ncho de )a*a = h= h= hm = h=
1 2 15 2
[cm [cm [cm [cm
/ = / = / = / =
0.08 0.44 3.75 0.24
1
[m
[,m2 [,m2 [,m2 [,m2 arandado
otal
- #ar$a ia %od&lacion "ara 9e$:n orma
1'
1 [m
9obrecar$a
(ncho de )a*a = 4.5
[,m2
; =
+ara el descanso la car$a de dise
4.5
14.72
[,m [,m [,m [,m [,m [,m
[,m
1.33 [m [,m2
[,m
[,m
Tramo 2
".- DISE#O DE LA ARMADURA DE RE$UER%O -
-
Materiales Hormi$on H (cero
-c 25 ?c = 25 [%"a 500 9 ? = 500 [%"a -y != 200000 [%"a 2.174 @d [A=
-
?cd = 16.667 [%"a ? = 434.78 [%"a
Datos ec&brimiento (lt&ra losa (lt&ra &Bl (ncho
-
1.5 1.15
d1 = d2 = 0.025 [m h= 0.15 [m d= 0.125 [m b= 1.00 [m
Tramo 1 Tramo 1
Md [KN-m]
&
'
Nc [KN]
σs1 [KN/cm2]
As1 [cm2]
As1 min [cm2]
As1 adop [cm2]
!sc. ("oo
0.00
0
0
0.00
43.48
0.00
2.7
2.70
!sc. ramo
15.00
0.06857 0.08887
124.42
43.48
2.86
2.7
2.86
Cescanso
15.00
0.06857 0.08887
124.42
43.48
2.86
2.7
2.86
Nc [KN]
σs1 [KN/cm2]
As1 [cm2]
As1 min [cm2]
As1 adop [cm2]
Tramo 2 Tramo 2
Md [KN-m]
!sc. ("oo
34.00
0.15543 0.21232
2>7.24
43.48
6.84
2.7
6.84
!sc. ramo
18.00
0.0822> 0.10748
150.47
43.48
3.46
2.7
3.46
Cescanso
18.00
0.0822> 0.10748
150.47
43.48
3.46
2.7
3.46
&
'
- Diagramas de corte
Tramo 2
-
Diseño corte tramo 1 Tramo
Vd [KN]
(
)l
Vc
Vc min
Vs
!scalera
22.00
2.00
0.0023
42.1>
31.50
-20.1>
Cescanso
22.00
2.00
0.0023
42.1>
31.50
-20.1>
Diametro [mm]
Ast [cm2]
!t [cm]
0.070
6.00
0.57
0.00
0.070
6.00
0.57
0.00
Diametro
Ast
!t
Ast/!t
"#!$ No necesita armadra de corte
-
Diseño corte tramo 2 Vd
[KN]
[mm]
[cm2]
[cm]
!scalera
41.00
2.00
0.0055
56.41
31.50
-15.41
0.070
8.00
1.01
0.00
Cescanso
23.50
2.00
0.0028
44.>5
31.50
-21.45
0.070
8.00
1.01
0.00
As real [cm2]
Tramo 2
As [cm2]
Armadra
"#!$ No necesita armadra de corte
*.- DETERMINACION DE COM+INACIONES A USARSE -
%scalera
Tramo 1
As [cm2]
!sc. ("oo
2.70
D
10
c
20
3.>3
!sc. ("oo
6.84
D
12
c
15
7.54
!sc. ramo
2.86
D
10
c
20
3.>3
!sc. ramo
3.46
D
10
c
20
3.>3
decanso
2.86
D
10
c
20
3.>3
decanso
3.46
D
10
c
20
3.>3
Armadra
As real [cm2]
&APATA '"M#(NADA
POS. No
DIMENSIONES PARCIALES , / 0
DIAM. ,
CANT. ,No
LONG. PARC. ,
a
1
0.35
/.54
0.35
32
32
/.8
2
0.35
/.54
0.35
20
32
/.8
3
4.1
20
/
4.1
4
4.1
16
22
4.1
5
4.1
20
24
4.1
6
4.1
20
5
4.1
d
%!'A)%*A )AN&ADA
POS. No
DIMENSIONES PARCIALES , / 0
d
DIAM. ,
CANT. ,No
LONG. PARC. ,
a
1
0.55
3.25
1.2
0.55
12
1/
5.55
2
0.55
3.25
1.2
0.55
12
3
5.55
3
0.8
0.5
0.8
1.15
8
26
3./
4
0.55
3.25
1.2
0.55
12
3
5.55
5
0.15
0.26
3.28
1.3
8
15
5.08
6
0.4
3.2
1.13
0.54
12
14
5.36
/
0.4
3.2
1.13
0.54
12
3
5.36
8
0.4
3.2
1.13
0.54
12
3
5.36
0.36
3.2/
1.2/
0.32
8
12
5.22
10
0.8
0.5
0.8
1.15
8
26
3./
11
0.28
2.45
2.45
0.28
10
4
5.46
12
0.28
2.45
2.45
0.28
10
2
5.46
13
0.2
0.3
0.2
0.38
6
30
1.08
14
0.28
2.45
2.45
0.28
10
2
5.46
15
0.28
2.45
2.45
0.28
10
2
5.46
16
0.2
0.3
0.2
0.38
6
30
1.08
LONG.TOTAL PESO LINEAL , ,g2
PESO ,g
(MET'& ES& )%E()
252.48
6.21
156/.008
6
0.22
252.48
2.4/
623.6256
8
0.3
28./
2.4/
/0.88
10
0.62
0.2
1.58
142.516
12
0.8
8.4
2.4/
243.048
16
1.58
241.
2.4/
5/.43
20
2.4/
25
3.85
32
6.21
TOTAL 3245.4/24 LONG.TOTAL PESO LINEAL , ,g2
PESO ,g
4.35
0.8
83./15
16.65
0.8
14.8185
6.2
0.3
3/.518
16.65
0.8
14.8185
/6.2
0.3
2./18
/5.04
0.8
66./856
16.08
0.8
14.3112
16.08
0.8
14.3112
62.64
0.3
24.426
6.2
0.3
3/.518
21.84
0.62
13.5408
10.2
0.62
6.//04
32.4
0.22
/.128
10.2
0.62
6.//04
10.2
0.62
6.//04
32.4
0.22
/.128
TOTAL 386.3081
