Trabajo De Losas - Diez Ii

Losa de escalera

Condición de apoyo: apoyada- apoyada
Valor de carga = 9.13 KN/m

Mmax= 9.13 KN/m x 1(2.25 m)2 = 5.78 KNm Ra = Rb = 9.16 KN/m x 2.25 m = 10.3 KN
8 2

Losa 1 = losa 3

Condición de apoyos: Losa baja, todos sus lados son apoyados
Valor de carga = 9.67 KN/m²

Mmax= 9.67 KN/m x (1.5 m)2 = 2.72 KNm Ra = Rb = 9.67 KN/m x 1.5 m = 7.25KN
8 2

Todas sus reacciones son iguales, ya que se trata de una losa unidireccional con iguales relaciones de borde

Losa 2

Condición de apoyos: Apoyada- Apoyada
Valor de carga = 7.63 KN/m

Mmax= 7.63 KN/m x (1.5 m)2 = 2.15 KNm Ra = Rb = 7.63 KN/m x 1.5 m = 5.7 KN
8 2

Losa 4 = losa 6

Condición de apoyos:empotrada-apoyada
Valor de carga = 6.78 KN/m²

Ma = 6.78 KN/m x (3 m)2 = 7.6 KNm R e =5/8 x 6.78KN/m x 3 m = 12.7 KN
8

Mt = 6.78 KN/m x (3 m)2 = 5.1 KNm Ra = 3/8 x 6.78 KN/m x 3 m = 7.6 kN
12

Losa 5

Condición de apoyos: Empotrada- Apoyada
Valor de carga = 6,78 KN/m

Mt= 6,78 KN/m x (1.25 m)2 = 0.75 KNmMa= 6,78 KN/m x (1.25 m)2 = 1.13 KN
12 8

Ra = ⅝ 6,78 KN/m x 1.25 m = 5.29 KN

Rb = ⅜ 6,78 KN/m x 1.25 m = 3.17 KN

Losa 7 = Losa 9

[pic]

Condición de apoyos= 3 empotradas y 1 libre L menor/L MAYOR = 4,5/5= 0.9 kN/m2
Valor de carga =6.78 kN/m


Me x=0.066 x 6.78 kN/m x (4.5m) 2 = -9.06 kNm Me x = - 7.68 kNm
Me y= 0.056 x 6.78 kN/m x (4.5m) 2 = - 7.68 kNm Me y= -9.06 kNm
Mx tramo = 0.0151 x 6.78 kN/m x (4.5m) 2= 2.07 kNm M tramo x = 3.71 kNm
My tramo = 0.0270 x 6.78 kN/m x (4.5m) 2= 3.71 kNm M tramo y = 2.07 kNm

Rxe: 0.263 x 6.78 kN/m x (4.5m) 2= 36.11 kN
Rye: 0.374 x 6.78 kN/m x(4.5m) 2= 51.35 kN
R x: 0.102 x 6.78 kN/m x (4.5m) 2= 14 kN

Losa 8 = Losa 11

[pic]
Condición de apoyo = 4 lados empotrados

L menor/ L MAYOR= 4.5M/5M= 0.9 kN/m2

Me x= -0.0655 x 6.78 kN/m x (4.5m) 2= -8.99 kNm
Me y= -0.0652 x 6.78 kN/m x (4.5m)2 = -8.95 kNm
Mx tramo= 0.0231 x 6.78kN/m x (4.5)2 = 3.17 kNm
My tramo= 0.0222 x 6.78 kN/m x (4.5)2 = 3.05 kNm

R xe: 0.325 x 6.78 kN/mx (4.5m)2 = 44.6 kN
R ye: 0.136 x 6.78 kN/m x (4.5m)2 = 18.67 kN


Losa 10 = Losa 12

[pic]
Condiciones de apoyo= 2 empotradas y 2 libres
L menor/ L MAYOR = 4.5m/5m= 0.9 kN/m2

Me x= -0.0714 x 6.78 kN/m x (4.5m) 2= -9.8 kNm
Me y= -0.0773 x 6.78 kN/m x (4.5m2)= -10.6 kNm
Mx tramo= 0.0226 x 6.78 kN/m x (4.5m2)= 3.1 kNm
My tramo= 0.0291 x 6.78 kN/m x (4.5m) 2= 4 kNm

R xe:0.406 x 6.78 kN/m x (4.5m)2 = 55.74 kN
R ye: 0.344 x 6.78 kN/m x (4.5m)2 = 42.23 kN
R x: 0.200 x 6.78 kN/m x (4.5m)2 = 27.46 kN
R y: 0.163 x 6.78 kN/m x (4.5m)2 = 22.38 kN

Losa 13

Condición de apoyos: 1 lado empotrado
Carga = 10.34 KN/m²

Mmax= 10.34 KN/m x (1.25 m)2 = 8.07 KNm Ra = Rb = 10.34 KN/m x 1.5 m = 12.9 KN
2COMPATIBILIZACIÓN DE MOMENTOS

Losa 7-Losa 8 / Losa 8-Losa 9

M menor = 768 kgm = 0.85 M apoyo = 899 kgm + 768 kgm = 833.5 kgm
M mayor 899 kgm 2


Losa 10-Losa 11 / Losa 11-Losa 12

M menor = 899 kgm = 0.92 M apoyo = 899 kgm + 980 kgm = 939.5 kgm
M mayor 980 kgm 2

Losa 7-Losa 10 / Losa 9-Losa 12

M menor = 906 kgm =0.85 M apoyo = 906 kgm + 1060 kgm = 983 kgm
M mayor 1060 kgm 2

M D= 1060 kgm – 906 kgm = 154 kgm

M tramo 7 = 906 kgm + 77 kgm = 983 kgm

M tramo 10 = 1060 kgm + 77 kgm = 1137 kgm

Losa 8-Losa 11

M menor = 895 kgm = 1 M apoyo = 895 kgm + 895 kgm = 895 kgm
M mayor 895 kgm 2




















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