Memoria de Calculo Escalera

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

=