Memoria de Calculo Escalera [PDF]
DISEÑO DE ESCALERA Diseño de Escalera f'c = f'y = s/c = 210 Kg/cm2 4200 Kg/cm2 400 Kg/cm2 H piso = H tramo = e descan
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- Henry Roger Sanchez Aguilar
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DISEÑO DE ESCALERA Diseño de Escalera f'c = f'y = s/c =
210 Kg/cm2 4200 Kg/cm2 400 Kg/cm2
H piso = H tramo = e descan =
3.20 1.70 0.17
4.50 m 2.70
1.8
1.80 m Descanso
1er Tramo
3.75m
0.15 m
2do Tramo
1.80 m
1° Tramo 0.30
0.170
α
Peso Propio =
X
X
1.00
1.00
0.17
=
0.345 m
Cos α
=
0.87
2.40
=
0.408 Ton/m2
Carga por Unidad de Proyeccion Horizontal Sera: Peso Propio Cos α
=
0.41 0.87
=
0.47 Ton/m2
0.170 x 0.30 x 1.00 x 2.4 x 3.19 2 1er Tramo: P.P. x Unidad de Proyeccion Horizontal Sera = Peso de los Pasos = Acabados = WD = Peso de los Pasos =
= 0.195 Tn/m2 0.47 0.195 0.100 0.764
Ton/m2 Ton/m2 Ton/m2 Ton/m2
WL =
0.400 Ton/m2
Wu = 1.4 WD + 1.7 WL Wu = 1.75 Ton/m2 Descanso: P.P. x Unidad de Proyeccion Horizontal Sera = Peso Propio = Acabados =
1.00 x 1.00 x 0.17 x 2.4
=
WD = WL = Wu
=
1.4
WD =
Wu
=
1.39 Ton/m2
+
1.7
0.408 0.100 0.508 0.400
Ton/m2 Ton/m2 Ton/m2 Ton/m2
WL =
w = 1.750
w = 1.391
R1
Ton/m2
R2 2.70
ΣF2 = 0
R1 R1
1.8
+ +
R2 R2
= =
1.75 x 2.70 7.23 Ton
+
1.39
x
1.80
1.39 x 1.80 x 0.90
=
0
ΣM2 = 0 R1 x 4.50
-
1.75 x 2.70 x 3.15
R1 =
3.81 Ton
R2 =
3.42 Ton 0
≤
x
≤
3.00
R1x
-
Wx^2 2
=
0
x
=
2.18
m
Momento Max. =
4.99
Ton-m
Mx =
Cuantia minima ρb = 0.80
f'c
^0.5
-
= 0.0028
= 0.0028
f'y d = t - (r+φ/2) As min =
=
ρb*b*d =
a min. =
ρb*f'y^.5 0.85* f 'c MU As = Ø Fy 0.9 d As =
a
=
As =
a
=
As =
a
=
As =
a
=
As =
a
=
As =
0.90
4200
12.37 cm 3.41 cm2 =
0.80
4.993 0.90
11.870 x 4200 0.85 210 100
0.90
4.993 4200 12.37
12.043 x 4200 0.85 210 100
0.90
4.993 4200 12.37
12.065 x 4200 0.85 210 100
0.90
4.993 4200 12.37
12.068 x 4200 0.85 210 100
0.90
4.993 4200 12.37
12.068 x 4200 0.85 210 100
0.90 Usando Ø
4.993 4200 12.37 1/2 S=
As 0.85
Fy f'c b
=
11.87
a
=
x
12.37
=
2.793 cm
-
1.40
=
2.834 cm
-
1.42
=
2.839 cm
-
1.42
=
2.840 cm
-
1.42
=
2.840 cm
1.42 1.98 x
= 12.043
= 12.065
= 12.068
= 12.068
= 12.068 100
=
As+ Requerida 16 cm =
15 cm
12.07 Usar
Ø As+ 2
As- =
1/2 =
@ 15 cm
6.034
cm2
Refuerzo por Temperatura
Ø
0.38
@
0.71 3.06
= Usar
As min =
0.0018 * b * d 2.23 cm2
Ast = 0.0018 * b * t = 3.06 cm2/cm 0.23 Ø
0.38
@ 25.00 cm
=