1. REPÚBLICA BOLIVARIANA DE VENEZUELA
INSTITUTO UNIVERSITARIO POLITÉCNICO
“SANTIAGO MARIÑO”
CARRERA: ING. CIVIL (42)
SEDE-BARCELONA
Profesor:
Bachilleres:
Ing.Hector Aguana
Guzman Marcial
C.I: 20636739
Barcelona, Mayo de 2013

2. Vivienda Losa nervada
7.5
5
6
7
8
1/2
7.5
1
2
3
4
1/2
3.2
F´c=350
𝑘𝑔⁄
3.2
3.2
3.2
𝑐𝑚2
r = 7cm
Fy = 5000
𝑘𝑔⁄
𝑐𝑚2
Carga variable = 150
𝑘𝑔⁄
𝑚2
L1 = L/18 = 3.2/18 = 0.17cm
L2 = L/21 = 3.2/21 = 0.15cm
L3 = L/21 = 3.2/21 = 0.15cm
L4 = L/21 = 3.2/21 = 0.15cm
L5 = L/8 = 1.5/8 = 0.18cm
*Peso propio
𝑃. 𝑃 = 0.18 × 2600 = 468
𝑘𝑔⁄
𝑚2
1.5

3. 2cm
SOBRE
PISO
5cm
LOSA
16cm
FRISO
3cm
-Cerámica =
2x22 =44
-Sobre piso = 0.05x1900=95
-Peso Propio =0.18x2600=468
-Friso =
0.03x2000=60
667 kg/𝑐𝑚2
Peso variable
P.V = 1.4 x 667+1.7 x150 = 1188.8
Carga permanente = 667
Carga variable = 1188.8
Q= 1188.8
𝑘𝑔⁄
𝑘𝑔⁄
𝑘𝑔⁄
𝑘𝑔⁄
𝑚2
𝑚2
𝑚2
𝑚2
𝑞 𝑥 𝐿𝑛2
𝑞 𝑥 𝐿𝑛2
𝑞 𝑥 𝐿𝑛2
𝑞 𝑥 𝐿𝑛2
10
11
11
2
𝑞𝐿2
𝑞𝐿2
𝑞𝐿2
𝑞𝐿2
11
16
16
16

4. 1--*
3.2+3.2
= 3.2 =
2
3.2+3.2
2--*
2
3.2+3.2
3--*
2
= 3.2 =
= 3.2 =
1188.8(1.5)2
4--*
2
1188.8(3.2)2
= 1217.33
10
1188.8(3.2)2
11
1188.8(3.2)2
11
= 1106.66
= 1106.66
= 1217.33
Positivos
Mu1
Mu2
Mu3
Mu4
1188.8(3.2)2
11
= 1106.66
1188.8(3.2)2
16
= 760.83
1188.8(3.2)2
16
1188.8(3.2)2
16
= 760.83
= 760.83
Reacciones Isostáticas
1188.8
3.2
A
B

5. ∑Fy= 0
D+E =1188.8(3.2 +1.5)
D+E =3804.16+1783.2 = 5587.36
∑Md=0
1188.8(3.2+1.5)+3.2=0
1188.8(3.5+1.2)= 4103.22
6.4
Hiperestáticas
1337.4
1337.4 =417.94
3.2
3.2
1106.66
1106.66 = 345.83
3.2
3.2

6. 1337.4 =417.94
3.2
1337.4= 417.94
3.2
1106.66 =345.83
1106.66=345.83
3.2
3.2
72.11
72.11
1337.4x100=133740
1106.66x 100= 110666
1106.66x 100= 110666
Calcular m
M=
M=
𝑀𝑢
𝐹𝑐.𝑏.𝑑 2
133740
350𝑥100𝑥102
= 0.038
Area de Acero
𝑀
As=
0.9𝑥𝐹𝑦𝑥𝐽𝑢𝑥10
Momentos negativos

7. Mmax A =
1337.4
0.9𝑥5000𝑥0.971𝑥10
1106.66
Mmax B =
0.9𝑥5000𝑥0.971𝑥10
Mmax C =
1106.66
0.9𝑥5000𝑥0.971𝑥10
= 0.03
= 0.025
= 0.025
Calcular Acero Mínimo
Asmin =
Asmin =
14𝑥 𝑏 𝑥𝑑
5000
14𝑥 100 𝑥 10
5000
= 2.8 𝑐𝑚2