Post on 12-Dec-2015
description
Peralte efectivo cuantiad = 1.75b p = 0.50 pb
fy = 4200 kg/cm2f´c = 350 kg/cm2
CUANTIA BALANCEADA
B1= 0.8
Pb = 0.0333
CUANTIA
p = 0.0167
HALLANDO q
q = 0.20
HALLANDO K
0.20 0.200785817K = 0.177
HALLANDO LA BASE
𝜌=0.50𝜌_𝑏
13 tn.m 20 tn.m 18 tn.m 20 tn.m
13 tn.m 13 tn.m14 tn.m 14 tn.m
TRAMOS (APOYOS A Y E) TRAMOS (APOYOS B Y D) TRAMO (APOYO C)
b = 0.20 m b = 0.23 m b =b = 0.20 m b = 0.25 m b =
TRAMOS (A-B, D-E) TRAMOS (B-C, C-D)b = 0.20 m b = 0.20 mb = 0.20 m b = 0.20 m
HALLANDO EL PERALTE EFECTIVO b va a ser la base del momento mas altod = 1.75bd = 0.44 m
HALLANDO EL PERALTE peralte = d+6peralte = 50 cm
SOLUCION PARA HALLAR EL ACERO
13 tn.m 20 tn.m 18 tn.m 20 tn.m
13 tn.m 13 tn.m14 tn.m
A B C D
13 tn.m 20 tn.m 18 tn.m 20 tn.m
hallando K corregidod = 50 -6d = 44
TRAMOS (APOYOS A Y E) TRAMOS (APOYOS B Y D) TRAMO (APOYO C)k = 0.0853 k = 0.1312 k =
TRAMOS (A-B, D-E) TRAMOS (B-C, C-D)k = 0.0918 k = 0.0853
hallando q corregido
TRAMOS (APOYOS A Y E) TRAMOS (APOYOS B Y D) TRAMO (APOYO C)q = 0.0901 q = 0.1433 q =
TRAMOS (A-B, D-E) TRAMOS (B-C, C-D)q = 0.0974 q = 0.0901
hallando cuantia corregida
TRAMOS (APOYOS A Y E) TRAMOS (APOYOS B Y D) TRAMO (APOYO C)p = 0.0075 p = 0.0119 p =
TRAMOS (A-B, D-E) TRAMOS (B-C, C-D)p = 0.0081 p = 0.0075
cuantia minima
cuantia min = 0.0031
area de acero
13 tn.m 13 tn.m14 tn.m
A B C D
TRAMOS (APOYOS A Y E) TRAMOS (APOYOS B Y D) TRAMO (APOYO C)As = 9.38 cm2 As = 14.93 cm2 As =
TRAMOS (A-B, D-E) TRAMOS (B-C, C-D)As = 10.15 cm2 As = 9.38 cm2
area de acero minima area de acero maxima
As = 3.90 cm2 As = 20.83 cm2
area de acero corregida
TRAMOS (APOYOS A Y E) TRAMOS (APOYOS B Y D) TRAMO (APOYO C)As = 10.55 cm2 As = 16.10 cm2 As =
TRAMOS (A-B, D-E) TRAMOS (B-C, C-D)As = 11.32 cm2 As = 10.55 cm2
distribucion del acero
TRAMOS (APOYOS A Y E) TRAMOS (APOYOS B Y D) TRAMO (APOYO C)
varillas = varillas = varillas =
TRAMOS (A-B, D-E) TRAMOS (B-C, C-D)
varillas = varillas =
3 Ø 3/4"
2 Ø 3/4" 2 Ø 3/4" + 1 Ø 5/8"
2 Ø 5/8" 2 Ø 5/8"
3 Ø 3/4"
5 Ø 3/4" 5 Ø 3/4" + 1 Ø 5/8"
3 Ø 3/4" + 2 Ø 5/8" 3 Ø 3/4" + 2 Ø 5/8"
13 tn.m
14 tn.m
TRAMO (APOYO C)
0.22 m0.25 m
20 tn.m 13 tn.m
14 tn.m
E
20 tn.m 13 tn.m
0.50
0.25
TRAMO (APOYO C)0.1181
TRAMO (APOYO C)0.1277
TRAMO (APOYO C)0.0106
14 tn.m
D E
TRAMO (APOYO C)13.30 cm2
TRAMO (APOYO C)14.47 cm2
5 Ø 3/4"
3 Ø 3/4" + 2 Ø 5/8"
TRAMO (APOYO C) 5 Ø 3/4" + 1 Ø 5/8"
3 Ø 3/4" + 2 Ø 5/8"
3 Ø 3/4"
2 Ø 3/4" 2 Ø 3/4" + 1 Ø 5/8" 2 Ø 3/4"
2 Ø 5/8" 2 Ø 5/8"
3 Ø 3/4"
5 Ø 3/4"