Trabajo Original de Diseño
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INGENIERIA CIVIL CONCRETO ARMADO IUNPRG
PROYECTO VIVIENDA MULTIFAMILIAR - 3 PSIOS
ESPECIFICACIONES TCNICAS: PROYECTO DEPARTAMENTOS 3 NIVELES
DATOS GEOMTRICOS : PESO POR METRO CUADRADO
Largo: 20.00 m Vivienda (S/C) 200 Kg/m NOR
An!o: "".00 m A#igerado (0.20m) $00 Kg/m
N% &or'io - 0 E*eor de &. M+er'o: 0.0, m Ceramia on
N% &or'io - 0 An!o 'a1i+eria: 0.2 m
N% &io $ &io &. 3a1.E. 2% *io: $"4 Kg/m
A#'+ra En're*io 2.50 m &. 3a1.E. $% *io: $26 Kg/m
CARACTERISTICAS DE MATERIALES A7o'ea: S/C "00 Kg/m
&. E*. M+ro de A#1a8i#eria: "900 Kg/m CARACTERISTICAS DE LA ZONA
Rei'enia a #a om*reion : ;
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INGENIERIA CIVIL CONCRETO ARMADO IUNPRG
=amo ! 0.20 m
1 0."0 m
3. PREDIMENSIONAMIENTO DE COLUMNAS >imenione minima *ara o#+mna e 2 m.
Area minima C. &+ D 0.,
D (0.9. ; 6.0,$ m C6 $55.,0 Kg $.9" m 22$,.60 Kg
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INGENIERIA CIVIL CONCRETO ARMADO IUNPRG
T*. E+). 2 )& T*. E+). 3 )&
Longi'+de m+ro Area Li1re Longi'+de m+ro
A E-020 "0.$ m .6 m 26.45 m 4.6" m 2.29 m
"0.4 m .4 m $6.,2 m 6.00 m ".02 m
ra*io ie#o rao ".40 m ",.56 m ,.45 m ,." m
"6.$5 m 25.0 m ".40 m 5."0 m
.5" m 2$.20 m "2."5 m .95 m
,.2, m 9.09 m 6.69 m
3o'a# 1.46 7 135.89 7 3o'a# 2.32 7
319 ;0
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INGENIERIA CIVIL CONCRETO ARMADO IUNPRG
Area Li1re
26.45 m
$6.,2 m
",.56 m
25.0 m
2$.20 m
9.09 m
135.89 7
TERCER PISO
0.25 x 0.20
0.25 x 0.20
0.25 x 0.20
0.25 x 0.20
TERCER PISO
0.30*0.20
0.30*0.20
0.30*0.20
0.30*0.20
0.30*0.20
0.30*0.20
TERCER PISO
0.10*0.20
0.10*0.20
0.10*0.20
0.10*0.20
O
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INGENIERIA CIVIL CONCRETO ARMADO IUNPRG
P+ A'% M). S%==. C+' U&7&
$592,.05 Kg 6,,."94 m 2".96 m 8.25 7
$$9$$."$ Kg $29.,45 m "9."$ m 8.25 7
$6525.4$ Kg $$5."0 m "9.$6 m 8.25 7
$592,.05 Kg 6,,."94 m 2".96 m 8.25 7
6$2.9, Kg 29.2"" m 22.49 m 8.25 7
666$2.5$ Kg $,6.2$0 m "4.$ m 8.25 7
666$2.5$ Kg $,6.2$0 m "4.$ m 8.25 7
6$2.9, Kg 29.2"" m 22.49 m 8.25 7
$"$2".$4 Kg $06.$9, m ",.6 m 8.25 7
0"2$.2, Kg 622."4 m 20. m 8.25 7
$5964.,9 Kg $"0.$56 m ",.52 m 8.25 7
$$$"4.96 Kg $2$.909 m ",.44 m 8.25 7
$0,"5.26 Kg 249.05 m ",.29 m 8.25 7
94.$" Kg 64$.2"" m 22.2" m 8.25 7
426.54 Kg6,".02" m
2".,0 m 8.25 7$,02$.$5 Kg $4.,44 m "9.4, m 8.25 7
6$520.49 Kg 62$.4"5 m 20.4 m 8.25 7
5946.05 Kg 6,4."9 m 2".94 m 8.25 7
24,.$5 Kg 662.44, m 2".0 m 8.25 7
0255.00 Kg 699.646 m 22."0 m 8.25 7
$,042.0 Kg 690.529 m 2".42 m 8.25 7
620$2.," Kg 609.69" m 20.2" m 8.25 7
620$2.," Kg 609.69" m 20.2" m 8.25 7
$,042.0 Kg 690.529 m 2".42 m 8.25 7
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INGENIERIA CIVIL CONCRETO ARMADO IUNPRG
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INGENIERIA CIVIL CONCRETO ARMADO IUNPRG
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INGENIERIA CIVIL CONCRETO ARMADO IUNPRG
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INGENIERIA CIVIL CONCRETO ARMADO IUNPRG
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INGENIERIA CIVIL CONCRETO ARMADO IUNPRG
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INGENIERIA CIVIL CONCRETO ARMADO IUNPRG
m
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PROYECTO VIVIENDA MULTIFAMILIAR - 3 PSIOS
METRADO DE CARGA
DIMENSIONES
Viga &rini*a#e 1 0.2 m ! 0.20 m
Viga Se+ndaria : 1 0.$0 m ! 0.20 m
Co#+mna: 0.2 m 0.2 m
PESO POR METRO CUADRADO
&. E*. >e# C%: ? 2.60 3/m Aa1ado 0." 3/m
A7o'ea: S/C 0."0 3/m &. 3a1.E. 2% *io: 0.$2 3/m
Vivienda (S/C) 0.20 3/m &. 3a1.E. $% *io: 0.$2 3/m
A#igerado (0.20m) 0.$0 3/m An!o 3ri1+'ario G
&. E*. M+ro de A#1a8i#eria: "900 Kg/m
A#'+ra En're*io 2.50 m
&ara*e'o ".00 m
1. PRIMER PISO
1.1. VIGAS PRNCIPALES
E$% E$% L0+),+ (7" P%& A/)0%'
2
A - G 6.00 m 2.0 m 0."2 3/m 0.59 3/m
G - C 2.00 m 2.0 m 0."2 3/m 0.59 3/m
C - > 6.00 m 2.0 m 0."2 3/m 0.59 3/m
$
A - G 6.00 m $.0$ m 0."2 3/m 0.9$ 3/m
G - C 2.00 m $.0$ m 0."2 3/m 0.9$ 3/m
C - > 6.00 m $.0$ m 0."2 3/m 0.9$ 3/m
6A - G 6.00 m 2.59 m 0."2 3/m 0.,$ 3/mG - C 2.00 m 2.59 m 0."2 3/m 0.,$ 3/m
C - > 6.00 m 2.59 m 0."2 3/m 0.,$ 3/m
A - G 6.00 m $.22 m 0."2 3/m 0.94 3/m
G - C 2.00 m $.22 m 0."2 3/m 0.94 3/m
C - > 6.00 m $.22 m 0."2 3/m 0.94 3/m
5
A - G 6.00 m $.6$ m 0."2 3/m 0.4 3/m
G - C 2.00 m $.6$ m 0."2 3/m 0.4 3/m
C - > 6.00 m $.6$ m 0."2 3/m 0.4 3/m
,
A - G 6.00 m ".9" m 0."2 3/m 0.6, 3/m
G - C 2.00 m ".9" m 0."2 3/m 0.6, 3/m
C - > 6.00 m ".9" m 0."2 3/m 0.6, 3/m
&ara #a viga e+ndaria a no e onidera #a arga viva o#o #a arga m+er'a *or #o 'an'o no !a1ra om1inaion de arga
1.2. VIGAS SECUNDARIAS
E$% E$% L0+),+ (7" P. P') V)0 P%& % M+'
A
2 - $ 2.40 m 0."6 3/m 2.40 m 0.,0 3/m
$ - 6 2.5 m 0."6 3/m 2.5 m 0.,0 3/m
6 - 2.20 m 0."6 3/m 2.20 m 0.,0 3/m
- 5 $.69 m 0."6 3/m "."9 m 0.26 3/m
5 - , $."2 m 0."6 3/m $."2 m 0.,0 3/m2 - $ 2.40 m 0."6 3/m 2.2 m 0.6 3/m
$ - 6 2.5 m 0."6 3/m ".60 m 0.$, 3/m
A=> T')*+,') #(7"
P. P')V)0
L0),+7+' (7"
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G 6 - 2.20 m 0."6 3/m 2.20 m 0.,0 3/m
- 5 $.69 m 0."6 3/m ".22 m 0.2 3/m
5 - , $."2 m 0."6 3/m 0.00 m 0.00 3/m
C
2 - $ 2.40 m 0."6 3/m 2.2 m 0.6 3/m
$ - 6 2.5 m 0."6 3/m 0.00 m 0.00 3/m
6 - 2.20 m 0."6 3/m 0.00 m 0.00 3/m
- 5 $.69 m 0."6 3/m 0.00 m 0.00 3/m
5 - , $."2 m 0."6 3/m 0.00 m 0.00 3/m
>
2 - $ 2.40 m 0."6 3/m 2.40 m 0.,0 3/m
$ - 6 2.5 m 0."6 3/m 2.5 m 0.,0 3/m
6 - 2.20 m 0."6 3/m 0.5, m 0.2" 3/m
- 5 $.69 m 0."6 3/m $.69 m 0.,0 3/m
5 - , $."2 m 0."6 3/m $."2 m 0.,0 3/m
2. SEGUNDO PISO
2.1. VIGAS PRNCIPALES
E$% E$% L0+),+ (7" P%& A/)0%'
2
A - G 6.00 m 2.0 m 0."2 3/m 0.59 3/m
G - C 2.00 m 2.0 m 0."2 3/m 0.59 3/m
C - > 6.00 m 2.0 m 0."2 3/m 0.59 3/m
$
A - G 6.00 m $.0$ m 0."2 3/m 0.9$ 3/m
G - C 2.00 m $.0$ m 0."2 3/m 0.9$ 3/m
C - > 6.00 m $.0$ m 0."2 3/m 0.9$ 3/m
6
A - G 6.00 m 2.59 m 0."2 3/m 0.,$ 3/m
G - C 2.00 m 2.59 m 0."2 3/m 0.,$ 3/m
C - > 6.00 m 2.59 m 0."2 3/m 0.,$ 3/m
A - G 6.00 m $.22 m 0."2 3/m 0.94 3/m
G - C 2.00 m $.22 m 0."2 3/m 0.94 3/m
C - > 6.00 m $.22 m 0."2 3/m 0.94 3/m
5
A - G 6.00 m $.6$ m 0."2 3/m 0.4 3/m
G - C 2.00 m $.6$ m 0."2 3/m 0.4 3/m
C - > 6.00 m $.6$ m 0."2 3/m 0.4 3/m
,
A - G 6.00 m ".9" m 0."2 3/m 0.6, 3/m
G - C 2.00 m ".9" m 0."2 3/m 0.6, 3/m
C - > 6.00 m ".9" m 0."2 3/m 0.6, 3/m
&ara #a viga e+ndaria a no e onidera #a arga viva o#o #a arga m+er'a *or #o 'an'o no !a1ra om1inaion de arga
2.2. VIGAS SECUNDARIAS
E$% E$% L0+),+ (7" P. P') V)0 P%& M+'
A
2 - $ 2.40 m 0."6 3/m 2.40 m 0.,0 3/m
$ - 6 2.5 m 0."6 3/m 2.5 m 0.,0 3/m
6 - 2.20 m 0."6 3/m 2.20 m 0.,0 3/m
- 5 $.69 m 0."6 3/m "."9 m 0.26 3/m
5 - , $."2 m 0."6 3/m $."2 m 0.,0 3/m
G
2 - $ 2.40 m 0."6 3/m 2."0 m 0." 3/m
$ - 6 2.5 m 0."6 3/m ".60 m 0.$, 3/m
6 - 2.20 m 0."6 3/m 2.20 m 0.,0 3/m
- 5 $.69 m 0."6 3/m ".22 m 0.2 3/m
A=> T')*+,') #(7"
P. P')V)0
L0),+7+' (7"
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5 - , $."2 m 0."6 3/m 0.00 m 0.00 3/m
C
2 - $ 2.40 m 0."6 3/m 2."0 m 0." 3/m
$ - 6 2.5 m 0."6 3/m 0.00 m 0.00 3/m
6 - 2.20 m 0."6 3/m 0.00 m 0.00 3/m
- 5 $.69 m 0."6 3/m 0.00 m 0.00 3/m
5 - , $."2 m 0."6 3/m 0.00 m 0.00 3/m
>
2 - $ 2.40 m 0."6 3/m 2.40 m 0.,0 3/m
$ - 6 2.5 m 0."6 3/m 2.5 m 0.,0 3/m
6 - 2.20 m 0."6 3/m 0.5, m 0.2" 3/m
- 5 $.69 m 0."6 3/m $.69 m 0.,0 3/m
5 - , $."2 m 0."6 3/m $."2 m 0.,0 3/m
3. TERCER PISO
3.1. VIGAS PRNCIPALES
E$% E$% L0+),+ (7" P%& A/)0%'
2
A - G 6.00 m 2.0 m 0."2 3/m 0.59 3/m
G - C 2.00 m 2.0 m 0."2 3/m 0.59 3/m
C - > 6.00 m 2.0 m 0."2 3/m 0.59 3/m
$
A - G 6.00 m $.0$ m 0."2 3/m 0.9$ 3/m
G - C 2.00 m $.0$ m 0."2 3/m 0.9$ 3/m
C - > 6.00 m $.0$ m 0."2 3/m 0.9$ 3/m
6
A - G 6.00 m 2.59 m 0."2 3/m 0.,$ 3/m
G - C 2.00 m 2.59 m 0."2 3/m 0.,$ 3/m
C - > 6.00 m 2.59 m 0."2 3/m 0.,$ 3/m
A - G 6.00 m $.22 m 0."2 3/m 0.94 3/m
G - C 2.00 m $.22 m 0."2 3/m 0.94 3/m
C - > 6.00 m $.22 m 0."2 3/m 0.94 3/m
5
A - G 6.00 m $.6$ m 0."2 3/m 0.4 3/m
G - C 2.00 m $.6$ m 0."2 3/m 0.4 3/m
C - > 6.00 m $.6$ m 0."2 3/m 0.4 3/m
,
A - G 6.00 m ".9" m 0."2 3/m 0.6, 3/m
G - C 2.00 m ".9" m 0."2 3/m 0.6, 3/m
C - > 6.00 m ".9" m 0."2 3/m 0.6, 3/m
&ara #a viga e+ndaria a no e onidera #a arga viva o#o #a arga m+er'a *or #o 'an'o no !a1ra om1inaion de arga
2.2. VIGAS SECUNDARIAS
E$% E$% L0+),+ (7" P. P') V)0 P%& M+'
A
2 - $ 2.40 m 0."6 3/m 0.00 m 0.00 3/m
$ - 6 2.5 m 0."6 3/m 0.00 m 0.00 3/m
6 - 2.20 m 0."6 3/m 0.00 m 0.00 3/m
- 5 $.69 m 0."6 3/m 0.00 m 0.00 3/m
5 - , $."2 m 0."6 3/m 0.00 m 0.00 3/m
G
2 - $ 2.40 m 0."6 3/m 0.00 m 0.00 3/m
$ - 6 2.5 m 0."6 3/m 0.00 m 0.00 3/m
6 - 2.20 m 0."6 3/m 0.00 m 0.00 3/m
- 5 $.69 m 0."6 3/m 0.00 m 0.00 3/m
5 - , $."2 m 0."6 3/m 0.00 m 0.00 3/m
2 - $ 2.40 m 0."6 3/m 0.00 m 0.00 3/m
A=> T')*+,') #
(7"
P. P')
V)0
L0),+7+' (7"
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C
$ - 6 2.5 m 0."6 3/m 0.00 m 0.00 3/m
6 - 2.20 m 0."6 3/m 0.00 m 0.00 3/m
- 5 $.69 m 0."6 3/m 0.00 m 0.00 3/m
5 - , $."2 m 0."6 3/m 0.00 m 0.00 3/m
>
2 - $ 2.40 m 0."6 3/m 0.00 m 0.00 3/m
$ - 6 2.5 m 0."6 3/m 0.00 m 0.00 3/m
6 - 2.20 m 0."6 3/m 0.00 m 0.00 3/m
- 5 $.69 m 0."6 3/m 0.00 m 0.00 3/m
5 - , $."2 m 0."6 3/m 0.00 m 0.00 3/m
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C'0 U*)= % 2
P%& % M+' 1.4 ? @7 1.! ? @
0.$9 3/m 0.00 m 0.00 3/m 0.90 3/m ".454 3/m 0.00 3/m 2.! T
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0.9 3/m no "."9 3/m 0.00 3/m "."9 3/m
0.$4 3/m no 0. 3/m 0.00 3/m 0. 3/m
0."6 3/m no 0.20 3/m 0.00 3/m 0.20 3/m
0.54 3/m no 0.45 3/m 0.00 3/m 0.45 3/m
0."6 3/m no 0.20 3/m 0.00 3/m 0.20 3/m
0."6 3/m no 0.20 3/m 0.00 3/m 0.20 3/m
0."6 3/m no 0.20 3/m 0.00 3/m 0.20 3/m
0."6 3/m no 0.20 3/m 0.00 3/m 0.20 3/m
0.9 3/m no "."9 3/m 0.00 3/m "."9 3/m
0.9 3/m no "."9 3/m 0.00 3/m "."9 3/m
0.$5 3/m no 0.0 3/m 0.00 3/m 0.0 3/m
0.9 3/m no "."9 3/m 0.00 3/m "."9 3/m
0.9 3/m no "."9 3/m 0.00 3/m "."9 3/m
C'0 U*)= % 3
P%& M+' 1.4 ? @7 1.! ? @
0.$9 3/m 0.00 m 0.00 3/m 0.9" 3/m ".49 3/m 0.0 3/m 2.!! T
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0."6 3/m no 0.20 3/m 0.00 3/m 0.20 3/m
0.5 3/m no 0.4" 3/m 0.00 3/m 0.4" 3/m
0."6 3/m no 0.20 3/m 0.00 3/m 0.20 3/m
0."6 3/m no 0.20 3/m 0.00 3/m 0.20 3/m
0."6 3/m no 0.20 3/m 0.00 3/m 0.20 3/m
0."6 3/m no 0.20 3/m 0.00 3/m 0.20 3/m
0.9 3/m no "."9 3/m 0.00 3/m "."9 3/m
0.9 3/m no "."9 3/m 0.00 3/m "."9 3/m
0.$5 3/m no 0.0 3/m 0.00 3/m 0.0 3/m
0.9 3/m no "."9 3/m 0.00 3/m "."9 3/m
0.9 3/m no "."9 3/m 0.00 3/m "."9 3/m
C'0 U*)= % A
1.4 ? @7 1.! ? @
0.$9 3/m 0.00 m 0.00 3/m 0.00 3/m ".", 3/m 0.2 3/m 1.4 T
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0."6 3/m no 0.20 3/m 0.00 3/m 0.20 3/m
0."6 3/m no 0.20 3/m 0.00 3/m 0.20 3/m
0."6 3/m no 0.20 3/m 0.00 3/m 0.20 3/m
0."6 3/m no 0.20 3/m 0.00 3/m 0.20 3/m
0."6 3/m no 0.20 3/m 0.00 3/m 0.20 3/m
0."6 3/m no 0.20 3/m 0.00 3/m 0.20 3/m
0."6 3/m no 0.20 3/m 0.00 3/m 0.20 3/m
0."6 3/m no 0.20 3/m 0.00 3/m 0.20 3/m
0."6 3/m no 0.20 3/m 0.00 3/m 0.20 3/m
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)&
$.5" 3/m
$.5" 3/m
$.5" 3/m
6.9, 3/m
6.$5 3/m
6.9, 3/m
$.95 3/m$.95 3/m
$.95 3/m
.5" 3/m
.09 3/m
.6" 3/m
.2$ 3/m
.4" 3/m
6.42 3/m
$.5" 3/m
$.5" 3/m
$.5" 3/m
@+ 1.4 (@7" B 1.!(@"
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)&
$.52 3/m
$.52 3/m
$.52 3/m
6.94 3/m
6.$9 3/m
6.94 3/m
$.99 3/m
$.99 3/m
$.99 3/m
.5$ 3/m
.02 3/m
.6$ 3/m
.2 3/m
.4$ 3/m
6.4 3/m
$.52 3/m
$.52 3/m
$.52 3/m
@+ 1.4 (@7" B 1.!(@"
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,%
2.05 3/m
2.05 3/m
2.05 3/m
2.64 3/m
2.64 3/m
2.64 3/m
2.2" 3/m
2.2" 3/m
2.2" 3/m
2.56 3/m
2.56 3/m
2.56 3/m
2.9" 3/m
2.9" 3/m
2.9" 3/m
2.64 3/m
2.64 3/m
2.64 3/m
@+ 1.4 (@7" B 1.!
(@"
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PROYECTO VIVIENDA MULTIFAMILIAR - 3 PSIOS
PORTICOS A ANALIZAR - COM#INACIONES DE CARGA
PORTICO PRINCIPAL 2-2
Carga Viva ESTADO 1
Carga M+er'a
0.26 3/m 0.26 3/m
ESTADO 1: ESTADO PARA CARGA MUERTA 0.5" 3/m 0.5" 3/m
0.9 3/m 0.9 3/m
0.5" 3/m 0.5" 3/m 0.5" 3/m
2.5 m
0.26 3/m 0.26 3/m
2.5 m 0.5" 3/m 0.5" 3/m
0.9 3/m 0.9 3/m
0.5" 3/m 0.5" 3/m 0.5" 3/m2.5 m
".5 3/m ".5 3/m
2.5 m ".9" 3/m ".9" 3/m
$.65 3/m $.65 3/m
".9" 3/m ".9" 3/m ".9" 3/m 2.60 m
2.60 m
A G
$.,2 m "." m
A G C >$.,2 m "." m 2.2 m ESTADO 2
ESTADO 2: ESTADO PARA CARGA VIVA 0.26 3/m
0.5" 3/m 0.5" 3/m
0.26 3/m 0.26 3/m 0.9 3/m 0.5" 3/m
2.5 m
2.5 m 0.26 3/m
0.5" 3/m 0.5" 3/m
0.26 3/m 0.9 3/m
2.5 m
2.5 m ".5 3/m
".9" 3/m ".9" 3/m
".5 3/m ".5 3/m $.65 3/m
2.60 m
2.60 m
A G
A G C>
$.,2 m "." m
$.,2 m "." m 2.2 m
ESTADO 3
ESTADO 3: ESTADO PARA CARGA VIVA
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0.26 3/m
0.26 3/m 0.5" 3/m 0.5" 3/m
0.9 3/m
2.5 m 2.5 m
0.26 3/m
0.26 3/m 0.26 3/m 0.5" 3/m 0.5" 3/m
0.9 3/m
2.5 m 2.5 m
".5 3/m
".5 3/m ".9" 3/m ".9" 3/m
$.65 3/m
2.60 m
2.60 m
A G C > A G
$.,2 m "." m 2.2 m $.,2 m "." m
ESTADO 4: ESTADO PARA CARGA VIVA
0.26 3/m 0.26 3/m
2.5 m
0.26 3/m 0.26 3/m
2.5 m
".5 3/m ".5 3/m
2.60 m
A G C >
$.,2 m "." m 2.2 m
ESTADO 5: ESTADO PARA CARGA VIVA
0.26 3/m 0.26 3/m
2.5 m
0.26 3/m 0.26 3/m
2.5 m
".5 3/m ".5 3/m
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2.60 m
A G C >
$.,2 m "." m 2.2 m
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0.26 3/m
0.5" 3/m
0.9 3/m
0.26 3/m
0.5" 3/m
0.9 3/m
".5 3/m
".9" 3/m
$.65 3/m
C >
2.2 m
ESTADO 4
0.26 3/m 0.26 3/m 0.26 3/m
0.5" 3/m 0.5" 3/m 0.5" 3/m 0.5" 3/m
0.9 3/m 0.9 3/m 0.9 3/m
2.5 m
0.26 3/m 0.26 3/m
0.5" 3/m 0.5" 3/m 0.5" 3/m 0.5" 3/m
0.9 3/m 0.9 3/m
2.5 m
".5 3/m ".5 3/m ".5 3/m
".9" 3/m ".9" 3/m ".9" 3/m ".9" 3/m
$.65 3/m $.65 3/m $.65 3/m
2.60 m
C > A G C >
2.2 m $.,2 m "." m 2.2 m
ESTADO 5
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0.26 3/m 0.26 3/m
0.5" 3/m 0.5" 3/m 0.5" 3/m 0.5" 3/m
0.9 3/m 0.9 3/m
2.5 m
0.26 3/m 0.26 3/m 0.26 3/m
0.5" 3/m 0.5" 3/m 0.5" 3/m 0.5" 3/m
0.9 3/m 0.9 3/m 0.9 3/m
2.5 m
".5 3/m ".5 3/m
".9" 3/m ".9" 3/m ".9" 3/m ".9" 3/m
$.65 3/m $.65 3/m
2.60 m
C > A G C >
2.2 m $.,2 m "." m 2.2 m
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PORTICO PRINCIPAL 2-2 - DESARROLLO DE 3 COM#INACIONE
ELEMENTOS INERCIAS ESTADO 1 MOMENTOS DE
VP "5555.555, M""" -$.44 3n-m M"""2VS 20000.0000 M""" $.44 3n-m M"2""
COLUMNA "6052.000 M24 -0.4, 3n-m M4"0
M42 0.4, 3n-m M"04
NUDO 3 I < L FD M$, -0.49 3n-m M,9
K$, 66.9024 0.6,9 M,$ 0.49 3n-m M9,
K$2 $.0550 0.622
9!.669 ".0000
$ 8.5422 8.45!6
NUDO 2 5 I < L FD 0.026 -0.4,,$
K2" $.0550 0.$"5 0.0" 0.62$6
K24 66.9024 0.2459 -0.06"2 -0.""05K2$ $.0550 0.$"5 0.092$ 0.054
158.9349 ".0000 -0.0"" -0.0"6
0.0"5" 0.0"$5
NUDO 1 4 I < L FD -0.006" -0.00"
K"2 $.0550 0.$$42 0.000 0.0062
K""" 66.9024 0.295$ -0.00"0 -0.00$"
K""$ 9.4$9 0.$,6 0.0022 0.00"9
15.42! ".0000 -0.000$ -0.0009
0.0005 0.000
NUDO ! 6 I < L FD -0.0002
K,$ 66.9024 0.2"" 0.496 -0.495
K,4 $.0550 0.269
K,9 ""0.$,$ 0.$00
286.2442 ".0000 2.5 m
NUDO 9 - 18 I < L FD
K4, $.0550 0.20$"
K42 66.9024 0."," 8.2658
K4"" $.0550 0.20$" -0.0005
K4"0 ""0.$,$ 0.6226 0.00""
21.3182 ".0000 -0.00"40.002
NUDO 11 - 12 I < L FD -0.0092
K""" 66.9024 0."5,4 0.0090
K""4 $.0550 0."494 -0.0$02
K"""2 ""0.$,$ 0.6"$5 0.06"2
K"""6 9.4$9 0.2"45 -0.092$
2.63!9 ".0000 0.209
0."06,
2 8.351 8.351
8.296
0.5,55 -0.4,60."06, 0.0996
0.065 -0.052$
-0.092$ -0.054
-
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0.0"6 0.0$0$
-0.0$02 -0.02
0.00$6 0.0"",
-0.0092 -0.0054
0.0009 0.0022
-0.00"4 -0.00"5
0.0002 0.0006
-0.0005 -0.000
0.000"
0.,22, -".00,5
2.5 m
".6,$2
-0.000$
0.0006
-0.00"00.00",
-0.006"
0.0059
-0.0""
0.0240
-0.06"2
0.04"$
0.026
".$$$
" 8.3!45 8.3392
8.263-$.440"
".6462 "."625
-0.$2"
0."009 0.0,,"
-0.066$
0.0$20 0.026
-0.000
0.00, 0.009
-0.0004
0.00"9 0.00"6
-0.00020.0006 0.000$
0.0000
".5$54 -$.""06
2.60 m
0.9"96
0.0002
0.0004
0.00$9
0.0"50
0.0060.,6,"
"$
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POR CROSS
MPOTRAMIENTO
-0.55 3n-m M"26 -".9$ 3n-m0.55 3n-m M6"2 ".9$ 3n-m
-0."5 3n-m M"0 -0.6 3n-m
0."5 3n-m M"0 0.6 3n-m
-0."5 3n-m M95 -0.6 3n-m
0."5 3n-m M59 0.6 3n-m
,
8.2151 8.5388
0.4,,$ 8.2546 -0."505 0."505
0.2"",
-0.22"$ -0.252" -0.6" -0.2,250.0$6, -0.0,$9 0.",6$ 0.$695
-0.024" -0.0$6 -0.0,", -0.0$9
0.0059 0.0$4 0.0069 0.0045
-0.0"02 -0.0"2" -0.022 -0.0"25
0.002" 0.0"$4 0.0"26 0.0264
-0.005" -0.00,2 -0.0"" -0.00,
0.0004 0.0025 0.0060 0.0090
-0.00"5 -0.00"4 -0.0060 -0.0020
0.000$ 0.000 0.00"0 0.00"4
-0.0006 -0.0006 -0.0004 -0.000
0.000" 0.0002 0.0006
0.452 -0.$$4" -0.5250
0.22$"
-0.200, -0.2699
-0.000"
0.000$ 0.000
-0.0002 -0.000
0.00"0 0.0022
-0.00"0 -0.00260.002 0.0"09
-0.00$5 -0.0"25
0.02,9 0.0,9
-0.0050 -0.05,
0.0,", 0."642
-0.0",2 0.0,4
-0."6,5 -0.$0,"
-0."$"0 -0."505
4 8.2831 8.4224
8.1!15 8.2831
0.4,60.0662
-0."26, -0."6,5
-0.0$6, -0.$909
-
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0.0505 0.0,",
-0.0"29 -0.026
0.02$ 0.02,9
-0.00$6 -0.0050
0.0066 0.002
-0.0009 -0.00"0
0.0004 0.00"0
-0.000$ -0.0002
0.0002 0.000$
-0.000"
0.4$" -0.692"
-0.40"4 -".44,$
-0.000" -0.0002
0.000" 0.0002
-0.0006 -0.00040.000 0.00"0
-0.0020 -0.006$
0.0025 0.0069
-0.0""4 -0.0269
0.0"$4 0.0$$9
-0."064 -0.2"9"
0.0$4 0.624
-0.,5", -".96$
-0.0,$9 -0.5,6
"" 8.1969 8.413
8.1!9 8.219$.440"
0.,"$
-0.56$" -0.96"0
0.0$9
-0.099 -0.""9
0.0"22
-0.0"0" -0.0"$2
0.0024
-0.00", -0.002$
0.000,
-0.0006 -0.0000.0002
-0.000" -0.000"
$.9,20 -0.4,29
-0.6956
-0.000"
-0.0002
-0.00""
-0.0055
-0.0,4-0.620
"6
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$.,2 m "." m
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9
8.5388 8.2151 8.45!6 8.5422
8.2546 -0.669 0.669 -0.0260
-0.04,2 -0."46$ -0.2$02
0."5,5 0."6" 0.0,0, 0.0"4$
0.0$92 -0.0205 -0.06"2 -0.0699
0.0065 0.00$4 0.0020 0.0"00
-0.0$"5 -0.002, -0.00 -0.005
0.0""4 0.0"0" 0.000 0.00"9
-0.0050 -0.00"5 -0.00$" -0.00$,
0.00$4 0.00$$ 0.00"5 0.0005
-0.00"" -0.000 -0.00"0 -0.00"2
0.0004 0.0009 0.0006 0.0002
-0.000$ -0.000" -0.000$ -0.000$
0.0002 0.0002 0.000"
-0.000" 0.29$0 -0.2924
0."99$ -0.6""
0.""$9 0.0424 -0."24,
-0.000$ -0.000" -0.000"
0.000$ 0.000" 0.000$
-0.00"" -0.000 -0.0005
0.00"" 0.000 0.00""
-0.006, -0.002$ -0.00"40.006 0.00"4 0.00$5
-0.022 -0.0"2" -0.00$2
0.0294 0.0050 0.0"44
-0."$"$ -0.05$" -0.0266
0.0,65 0.002$ 0.0$95
0."4" 0.0,5
-0."$5 -0."""
0."505 0.09$9 -0.0690
8.4224 8.2831 "0 8.351 8.351
8.2831 8.1!15 8.296
-0.66,2 0.66,2 -0.$"0-0.020$ -0.0605 -0.0690
0.0,5 0.0565 0.0$2$ -0.02,"
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0.2",, 0.0"5$ 0.0$25 0.0$95
-0.05$" -0.0$$ -0.025, -0.005
0.0"5$ 0.0096 0.0"59 0.0"44
-0.0"2" -0.0"02 -0.00" -0.0020
0.002$ 0.00" 0.00$" 0.00$5
-0.002$ -0.00"4 -0.00"0 -0.0006
0.000 0.000 0.0004 0.00""
-0.000 -0.0006 -0.0002 -0.000"
0.000" 0.000" 0.000$ 0.000$
-0.000" -0.000" -0.000"
0.2$2 -0.6620 0.645 -0.$$0"
0.,255 0.6,24 -0.59$9
-0.000" -0.000" -0.0002
0.0006 0.0002 0.0005
-0.000 -0.000$ -0.00090.002" 0.00"0 0.00"9
-0.002" -0.00"" -0.0060
0.0045 0.0065 0.0"00
-0.0"26 -0.0050 -0.0""2
0.05,5 0.0$2 0.0"4$
-0."04" -0.0$"5 -0.062
0.40, 0.6$
-0.,42" -0.0260
0.5,6 0.0$92 -0.52"0
8.413 8.1969 "2 8.3392 8.3!45
8.219 8.1!9 8.263-".9$"0 ".9$"0
-0.2522 -0.26$ -0.59,
0.6909 0.$5,, 0."9$9
-0.0224 -0.069 -0.049
0.0$4 0.02, 0.0"$,
-0.006, -0.004 -0.0"26
0.00" 0.00$4 0.00"4
-0.00", -0.00$6 -0.006
0.00"" 0.0009 0.0006
-0.000$ -0.0005 -0.00090.0002 0.0002 0.000"
-0.000" -0.0002 -0.0002
0.2$" -".,224 ".66,$ -0.,5$
-0.$9",
0.25"5 -0.000"
0.000" -0.0006
0.000 -0.0022
0.002 -0.0052
0.0"90 -0.02440.2606 -0.$624
"
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2.2 m
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ESTADO 2 MOMENTOS DE EMPOTRAMIENT
M""" -$.49 3n-m M"""2 -0.$6 3n-mM""" $.49 3n-m M"2"" 0.$6 3n-m
M24 -0.,0 3n-m M4"0 -0."5 3n-m
M42 0.,0 3n-m M"04 0."5 3n-m
M$, -0.49 3n-m M,9 -0."" 3n-m
M,$ 0.49 3n-m M9, 0."" 3n-m
5 $ 8.5422 8.45!6
0.00$4 -0.4,,$
0.2,9 0.665
-0.00, -0.""5,0.0409 0.0,55
-0.0",9 -0.0206
0.020, 0.0",
-0.00" -0.00,
0.0059 0.009
-0.00"$ -0.00$4
0.0029 0.0026
-0.0006 -0.00"0
0.0009 0.0005
-0.0002
0.,9$ -0.,95
0."9"9
-0.0009
0.00"6
-0.0020.00$6
-0.0"0"
0.0"06
-0.0$,
0.066
-0."0"$
0.25$4
0.00,,
2 8.351 8.351
8.296
0.5,, -0.54,,0.00,, 0.005
0.09, -0.0$66
-0."0"$ -0.09
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0.0",5 0.0$9
-0.0$, -0.0$0"
0.006" 0.0"6$
-0.0"0" -0.009
0.00"0 0.002,
-0.002 -0.002"
0.000$ 0.0005
-0.0009 -0.000,
0.000"
0.5"6, -0.,45$
".66$$
-0.0006
0.000
-0.00"$0.002"
-0.00"
0.009"
-0.0",9
0.0$2
-0.00,
0."",6
0.00$4
".$"$
6 " 8.3!45 8.3392
8.263-$.496$
".642" "."604
-0.$02
0."24, 0.0442
-0.0$0
0.0$99 0.024,
-0.0052
0.0040 0.0054
-0.00""
0.002$ 0.00"9
-0.00020.0005 0.0006
-0.000"
".5,26 -$.""52
0.9$52
0.000$
0.00""
0.006
0.0"46
0.05690.,650
"5 "$
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$.,2 m
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O
M"26 -".9$ 3n-mM6"2 ".9$ 3n-m
M"0 -0.$2 3n-m
M"0 0.$2 3n-m
M95 -0.6 3n-m
M59 0.6 3n-m
,
8.2151 8.5388 8.5388
0.4,,$ 8.2546 -0.""0 0.""0 8.2546
0.2229
-0.2$$ -0.2,5 -0.,2 -0.29,50.0$9$ -0.0609 0."4", 0.$9$6 0."96$
-0.060, -0.0692 -0."00$ -0.002 0.0"5
0.009, 0.065 0.0"6 0.0$04 0.0"69
-0.0"0 -0.0",9 -0.0$,0 -0.0"9 -0.0$99
0.0024 0.0",0 0.0"5$ 0.0$25 0.0",
-0.00,9 -0.0042 -0.0"42 -0.0045 -0.00,6
0.00"2 0.00$2 0.00" 0.0"0" 0.0064
-0.0020 -0.0026 -0.000 -0.002 -0.00"6
0.000$ 0.000, 0.00"2 0.0026 0.00"2
-0.000 -0.0005 -0.00"2 -0.0005 -0.000$
0.0002 0.000$ 0.0005 0.000$
0.42" -0.$294 -0.52$" -0.000"
0.2050 0."99,
-0."2, -0."2"0 0.0,49
-0.0002 -0.000$
0.000$ 0.000, 0.000$
-0.000$ -0.000, -0.00"$
0.00"$ 0.002, 0.00"6
-0.00"2 -0.00$0 -0.0040.0056 0.0"$6 0.005,
-0.0065 -0.0" -0.0$04
0.0$60 0.0,0, 0.0$6
-0.0094 -0.0905 -0."5"2
0.04"2 0."949 0.0464
-0.026" 0.0$26 0.056,
-0.09"5 -0."54, -0.0969
-0."$9$ -0."5"0 0."5"0
4 8.2831 8.4224 8.4224
8.1!15 8.2831 8.2831
0.54,,0.00$$
-0.0594 -0.09"5
-0.0629 -0.6"6, 0.0$""
-
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0.0,,0 0.04"2 0.290
-0.0"" -0.0529 -0.0,,
0.029, 0.0$60 0.0"44
-0.006$ -0.00,$ -0.0"64
0.006 0.0056 0.0029
-0.00"" -0.00"2 -0.0029
0.00"" 0.00"$ 0.0005
-0.000$ -0.000$ -0.0005
0.000$ 0.000$ 0.000"
-0.000" -0.0002
0.59"" -0.6$6, 0.2"55
-0.46,0 -".,9"" 0.02"
-0.000" -0.000$ -0.000"
0.0002 0.000$ 0.000
-0.0005 -0.00"2 -0.00050.000, 0.00"$ 0.002
-0.002 -0.002 -0.0025
0.00$2 0.004 0.0""9
-0.0"65 -0.0$0$ -0.0"2
0.0",0 0.06"6 0.0924
-0."25 -0.25"$ -0."$0,
0.065 0.$55 ".0,$"
-0.924 -".,2$ -0.952,
-0.0609 -0.$6$0 0.$6$0
"" 8.1969 8.413 8.413
8.1!9 8.219 8.219$.496$
0.,0
-0.,00$ -0.4"4
0.0645 0.54,
-0."05" -0."$9,
0.0"69 0.0660
-0.0"2$ -0.0"5"
0.00$6 0.005$
-0.002" -0.0029
0.0004 0.00"$
-0.000 -0.00050.0002 0.000$
-0.000" -0.000"
$.902$ -".0,62 0.52"5
-0.$,"
-0.000" 0.$"09
-0.000$ 0.000"
-0.00"6 0.000,
-0.0090 0.00$"
-0.0546 0.0220-0.6,4 0.2969
"6
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"." m
-
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9
8.2151 8.45!6 8.5422 5
-0.669 0.669 -0.00"9
-0."02$ -0.206 -0.2622
0."5 0.0,,9 0.026
-0.02$5 -0.06,$ -0.050
0.0"2 0.005$ 0.0""4
-0.0062 -0.009$ -0.0044
0.0"$2 0.0055 0.0026
-0.002" -0.006" -0.0064
0.006" 0.002" 0.000,
-0.0005 -0.00"$ -0.00"
0.00"0 0.000 0.0002
-0.0002 -0.000$ -0.0006
0.0002 0.000"
0.2,50 -0.2,4
-0.$46,
0.06, -0.0,45
-0.0002 -0.0002
0.000" 0.0006
-0.0005 -0.0009
0.0005 0.00"
-0.0029 -0.00260.0026 0.0069
-0.0"64 -0.0064
0.00,9 0.02$4
-0.0,, -0.0290
0.00,6 0.009
0.0$""
-0."2""
0.0422 -0.00$5
8.2831 "0 8.351 8.351
8.1!15 8.296
-0.$202 0.$202 -0.$"0"-0.00" -0.00$0 -0.00$5
0.025$ 0.0"$" -0.0$55
-
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0.02" 0.0624 0.009
-0.056 -0.0$2, -0.00,2
0.0"0" 0.020" 0.02$4
-0.0"2 -0.005$ -0.0026
0.0020 0.0060 0.0069
-0.0026 -0.00"2 -0.000
0.0005 0.00"2 0.00"
-0.000 -0.000$ -0.000"
0.0002 0.000$ 0.0006
-0.000" -0.000"
-0.$62" 8.3565 -8.2!91
0.$0 -8.!51
-0.000" -0.000$
0.000$ 0.000,
-0.000$ -0.00"00.00"2 0.0026
-0.00"6 -0.0064
0.00, 0.0""4
-0.00,6 -0.0"6$
0.0$49 0.026
-0.0$99 -0.0,$$
0."4
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0.0"5 -0.520"
8.1969 "2 8.3392 8.3!45 6
8.1!9 8.263-".9296 ".9296
-0.25"9 -0.2$5 -0.596,
0.6$5 0.2",9
-0.0$04 -0.05"4 -0.0904
0.0$$5 0.0"59
-0.0050 -0.0"2" -0.0"9
0.0069 0.0026
-0.002" -0.006" -0.006
0.00"0 0.000
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-0.000" -0.0002 -0.000$
-".56 ".65$$ -0.,992
-0.$46"
-0.0002
-0.000
-0.002,
-0.00,4
-0.0606-0.$626
" "5
-
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2.2 m
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ESTADO 4 MOMENTOS DE EMPOTRAMIENTO
M""" -2.09 3n-m M"""2 -0.55 3n-m M"26M""" 2.09 3n-m M"2"" 0.55 3n-m M6"2
M24 -0.49 3n-m M4"0 -0."" 3n-m M"0
M42 0.49 3n-m M"04 0."" 3n-m M"0
M$, -0.,0 3n-m M,9 -0."5 3n-m M95
M,$ 0.,0 3n-m M9, 0."5 3n-m M59
$ 8.5422 8.45!6
0."049 -0.54,,
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2.2 m
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PORTICO PRINCIPAL 2-2 - DESARROLLO DE LAS 2 COM#INACIONES POR ;ANI CON DESPLAZAMIENTO
ESTADO 4 MOMENTOS DE EMPOTRAMIENTO
M""" -$.49 3n-m M"""2 -0.55 3n-m M"26 -0.45 3n-m
M""" $.49 3n-m M"2"" 0.55 3n-m M6"2 0.45 3n-m
M24 -0.,0 3n-m M4"0 -0."5 3n-m M"0 -0.6 3n-m
M42 0.,0 3n-m M"04 0."5 3n-m M"0 0.6 3n-m
M$, -0.4, 3n-m M,9 -0."5 3n-m M95 -0.$2 3n-m
M,$ 0.4, 3n-m M9, 0."5 3n-m M59 0.$2 3n-m
COEFICIENTES DE GIRO SIMETRIA
NUDO 1 NUDO 4
; ; I (=74" L (=7" H""$
66.90 "5555.5, m6 $,2.00 m I""" -0.0,6 I6"2 -0.0,6 H"""6
"$.5$ $22.09 m6 260.00 m I""$ -0.226 I6"5 -0.226 H"2"
"22.96 $22.09 m6 25.00 m I"2 -0.20$ I6 -0.20$ H6"5
JK $0$.2, -0.00 -0.00 J
NUDO 2 NUDO 5
; ; I (=74" L (=7"
K2" "22.96 $22.09 m6 25.00 m I2" -0.2"" I6 -0.2""
K24 66.90 "5555.5, m6 $,2.00 m I24 -0.0,, I"0 -0.0,,
K2$ "22.96 $22.09 m6 25.00 m I2$ -0.2"" I5 -0.2"" % $
JK 240.69 -0.00 -0.00
NUDO 3 NUDO
; ; I (=74" L (=7" K$2 "22.96 $22.09 m6 25.00 m I$2 -0.$55 I5 -0.$55
K$, 66.90 "5555.5, m6 $,2.00 m I$, -0."$6 I59 -0."$6
JK "5,.56 -0.00 -0.00
NUDO ! NUDO 6
; ; I (=74" L (=7"
K,$ 66.90 "5555.5, m6 $,2.00 m I,$ -0.09" I95 -0.09"
K,4 "22.96 $22.09 m6 25.00 m I,4 -0.22" I9"0 -0.22"
K,9 ""0.$9 "5555.5, m6 "".00 m I,9 -0."44 I9, -0."44
JK 2,9.02 -0.00 -0.00
NUDO 9 NUDO 18
; ; I (=74" L (=7" K4"" "22.96 $22.09 m6 25.00 m I4"" -0."$ I"0"2 -0."$
K42 66.90 "5555.5, m6 $,2.00 m I42 -0.05 I"0 -0.05
K4, "22.96 $22.09 m6 25.00 m I4, -0."$ I"09 -0."$
K4"0 ""0.$9 "5555.5, m6 "".00 m I4"0 -0."$9 I"04 -0."$9
JK 600.9 -0.00 -0.00
NUDO 11 NUDO 12
; ; I (=74" L (=7"
K""" 66.90 "5555.5, m6 $,2.00 m I""" -0.06 I"26 -0.06
K""4 "22.96 $22.09 m6 25.00 m I""4 -0."69 I"2"0 -0."69
K"""2 ""0.$9 "5555.5, m6 "".00 m I"""2 -0."$$ I"2"" -0."$$
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K1""
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COEF. DE DESPLAZAMIENTO
; ; ;
"$.5$ -0.$, H2" "22.96 -0.$, H$2 "22.96 -0.$,
"$.5$ -0.$, H4"" "22.96 -0.$, H,4 "22.96 -0.$,
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542.53 J 491.35 J 491.35
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ESTADO 5 MOMENTOS DE EMPOTRAMIENTO
M""" -2.09 3n-m M"""2 -0.55 3n-m M"26 -".9$ 3n-m
M""" 2.09 3n-m M"2"" 0.55 3n-m M6"2 ".9$ 3n-m
M24 -0.49 3n-m M4"0 -0."5 3n-m M"0 -0.$2 3n-m
M42 0.49 3n-m M"04 0."5 3n-m M"0 0.$2 3n-m
M$, -0.,0 3n-m M,9 -0."5 3n-m M95 -0.6 3n-m
M,$ 0.,0 3n-m M9, 0."5 3n-m M59 0.6 3n-m
COEFICIENTES DE GIRO SIMETRIA
NUDO 1 NUDO 4
; ; I (=74" L (=7" H""$
66.90 "5555.5, m6 $,2.00 m I""" -0.0,6 I6"2 -0.0,6 H"""6
"$.5$ $22.09 m6 260.00 m I""$ -0.226 I6"5 -0.226 H"2"
"22.96 $22.09 m6 25.00 m I"2 -0.20$ I6 -0.20$ H6"5
JK $0$.2, -0.00 -0.00 J
NUDO 2 NUDO 5
; ; I (=74" L (=7"
K2" "22.96 $22.09 m6 25.00 m I2" -0.2"" I6 -0.2""
K24 66.90 "5555.5, m6 $,2.00 m I24 -0.0,, I"0 -0.0,,
K2$ "22.96 $22.09 m6 25.00 m I2$ -0.2"" I5 -0.2"" % $
JK 240.69 -0.00 -0.00
NUDO 3 NUDO
; ; I (=74" L (=7"
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K$, 66.90 "5555.5, m6 $,2.00 m I$, -0."$6 I59 -0."$6
JK "5,.56 -0.00 -0.00
NUDO ! NUDO 6
; ; I (=74" L (=7"
K,$ 66.90 "5555.5, m6 $,2.00 m I,$ -0.09" I95 -0.09"
K,4 "22.96 $22.09 m6 25.00 m I,4 -0.22" I9"0 -0.22"
K,9 ""0.$9 "5555.5, m6 "".00 m I,9 -0."44 I9, -0."44
JK 2,9.02 -0.00 -0.00
NUDO 9 NUDO 18
; ; I (=74" L (=7"
K4"" "22.96 $22.09 m6 25.00 m I4"" -0."$ I"0"2 -0."$
K42 66.90 "5555.5, m6 $,2.00 m I42 -0.05 I"0 -0.05
K4, "22.96 $22.09 m6 25.00 m I4, -0."$ I"09 -0."$
K4"0 ""0.$9 "5555.5, m6 "".00 m I4"0 -0."$9 I"04 -0."$9
JK 600.9 -0.00 -0.00
NUDO 11 NUDO 12; ; I (=74" L (=7"
K""" 66.90 "5555.5, m6 $,2.00 m I""" -0.06 I"26 -0.06
PORTICO PRINCIPAL 2-2 - DESARROLLO DE LAS 2 COM#INACIONES POR ;ANI CONDESPLAZAMIENTO
K1""
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K""4 "22.96 $22.09 m6 25.00 m I""4 -0."69 I"2"0 -0."69
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COEF. DE DESPLAZAMIENTO
; ; ;
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0.2,02 0.0495 -0.0665 -0."222
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PROYECTO VIVIENDA MULTIFAMILIAR - 3 PSIOS
MOMENTOS VIGAS - PORTICOS -
MOMENTOS CALCULADOS CON EL SAP - PORTICO 2-2 MOMENT
ESTADO 1M% Ma. Nega'ivo
M% Ma. &oii'ivo ENVOLVENTI+)%' D%'%=>
VIGAS
Viga " - "" $.900 3n-m .64$ 3n-m 6.2$0 3n-m
VIGAS
PRIMER PISO$.$94 3n-m $.$94 3n-m 0.000 3n-m
Viga "2 - 6 .64$ 3n-m $.900 3n-m 6.2$0 3n-m
Viga 2 - 4 6.6"2 3n-m .69 3n-m $.40 3n-m
Viga 4 - "0 $.069 3n-m $.069 3n-m 0.000 3n-m
Viga "0 - .69 3n-m 6.6"2 3n-m $.40 3n-m
Viga $ - , 2.09$ 3n-m $.26 3n-m 2.,0 3n-m
TERCER PISOViga , - 9 2."90 3n-m 2."90 3n-m 0.000 3n-m
Viga 9 - 5 $.26 3n-m 2.09$ 3n-m 2.,0 3n-m
ESTADO 2 M% Ma. Nega'ivo M% Ma. &oii'ivoI+)%' D%'%=> MOMENT
VIGAS
Viga " - "" $.429 3n-m .5, 3n-m $."90 3n-m
$.6"6 3n-m $.6"6 3n-m 0.000 3n-mENVOLVENT
Viga "2 - 6 .5, 3n-m $.429 3n-m 6.0 3n-m
Viga 2 - 4 $.955 3n-m 6.5,, 3n-m $."90 3n-m
VIGAS
PRIMER PISOViga 4 - "0 2.55 3n-m 2.55 3n-m 0.000 3n-m
Viga "0 - 6.5,, 3n-m $.955 3n-m $."90 3n-m
Viga $ - , 2."2 3n-m $.6,6 3n-m $."00 3n-m
Viga , - 9 2.$,4 3n-m 2.$,4 3n-m 0.000 3n-m
Viga 9 - 5 $.6,6 3n-m 2."2 3n-m $."00 3n-m
ESTADO 3 M% Ma. Nega'ivo M% Ma. &oii'ivo TERCER PISOI+)%' D%'%=>
VIGAS
Viga " - "" $.25 3n-m 6.,09 3n-m $.650 3n-m
2.44 3n-m 2.44 3n-m 0.000 3n-m
Viga "2 - 6 6.,09 3n-m $.25 3n-m $.650 3n-m MOMENT
Viga 2 - 4 6."4 3n-m .56" 3n-m 6.290 3n-m
Viga 4 - "0 $.095 3n-m $.095 3n-m 0.000 3n-mENVOLVENT
Viga "0 - .56" 3n-m 6."4 3n-m 6.290 3n-m
Viga $ - , ".4, 3n-m $.0"6 3n-m $.6$0 3n-m
VIGAS
PRIMER PISOViga , - 9 2.0"" 3n-m 2.0"" 3n-m 0.000 3n-m
Viga 9 - 5 $.0"6 3n-m ".4, 3n-m $.6$0 3n-m
ESTADO 4 M% Ma. Nega'ivo M% Ma. &oii'ivoI+)%' D%'%=>
VIGAS
Viga " - "" $.9,0 3n-m .995 3n-m 6.640 3n-m
$.,46 3n-m 2.90 3n-m 0.000 3n-m
TERCER PISOViga "2 - 6 6.,, 3n-m $.$0 3n-m $.640 3n-m
Viga 2 - 4 $.42$ 3n-m 6.04 3n-m $.220 3n-m
Viga 4 - "0 2.60 3n-m $.$5 3n-m 0.000 3n-m
Viga "0 - .956 3n-m 6.65 3n-m 6.2"0 3n-m MOMENT
Viga $ - , 2."$" 3n-m $.9" 3n-m $.00 3n-m
Viga , - 9 2.9 3n-m ".4$$ 3n-m 0.000 3n-mENVOLVENT
Viga 9 - 5 2.424 3n-m ".4,4 3n-m 2.650 3n-m
ESTADO 5M% Ma. Nega'ivo
M% Ma. &oii'ivo PRIMER PISOI+)%' D%'%=>
Viga " - "" $.$0 3n-m 6.,, 3n-m $.640 3n-m
2.90 3n-m $.,46 3n-m 0.000 3n-m
PRIMERPISO
Viga"" - "2
SEGUNDOPISO
SEGUNDOPISO
TERCERPISO
PRIMERPISO
Viga"" - "2
SEGUNDOPISO
TERCERPISO
SEGUNDOPISO
PRIMERPISO
Viga"" - "2
SEGUNDOPISO
TERCERPISO
SEGUNDOPISO
PRIMERPISO
Viga"" - "2
SEGUNDOPISO
TERCERPISO
PRIMERViga"" - "2
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VIGAS
Viga "2 - 6 .995 3n-m $.9,0 3n-m 6.640 3n-m VIGAS
Viga 2 - 4 6.65 3n-m .956 3n-m 6.2"0 3n-m
Viga 4 - "0 $.$5 3n-m 2.60 3n-m 0.000 3n-m
TERCER PISOViga "0 - 6.04 3n-m $.42$ 3n-m $.220 3n-m
Viga $ - , ".4,4 3n-m 2.424 3n-m 2.650 3n-m
Viga , - 9 ".4$$ 3n-m 2.9 3n-m 0.000 3n-m
Viga 9 - 5 $.9" 3n-m 2."$" 3n-m $.00 3n-m MOMENT
ENVOLVENTEM% Maimo Nega'ivo
M% Ma. &oii'ivoI+)%' D%'%=>
ENVOLVENT
VIGAS
Viga " - "" $.429 3n-m .995 3n-m 6.640 3n-m
$.,46 3n-m $.,46 3n-m 0.000 3n-m
VIGAS
PRIMER PISOViga "2 - 6 .995 3n-m $.429 3n-m 6.0 3n-m
Viga 2 - 4 6."4 3n-m .956 3n-m 6.290 3n-m
Viga 4 - "0 $.$5 3n-m $.$5 3n-m 0.000 3n-m
Viga "0 - .956 3n-m 6."4 3n-m 6.290 3n-m
Viga $ - , 2."$" 3n-m $.9" 3n-m $.6$0 3n-m
Viga , - 9 2.9 3n-m 2.9 3n-m 0.000 3n-m
TERCER PISOViga 9 - 5 $.9" 3n-m 2."$" 3n-m $.6$0 3n-m
MOMENTOS CALCULADOS CON ARDY CROSS Y ;ANI - PORTICO PRINCIPAL
ESTADO 1M% Ma. Nega'ivo
M% Ma. &oii'ivo&OR3@
I+)%' D%'%=>
VIGAS
Viga " - "" -$.""0 3n-m $.9,2 3n-m 6.2$0 3n-m
-".44, 3n-m 0.,2, 3n-m 0.000 3n-m
Viga "2 - 6 -".,2$ 3n-m ".66, 3n-m 6.2$0 3n-m
Viga 2 - 4 -".009 3n-m 0.4$2 3n-m $.40 3n-m
Viga 4 - "0 -0.264 3n-m 0.""6 3n-m 0.000 3n-m
Viga "0 - -0.662 3n-m 0.650 3n-m $.40 3n-m
Viga $ - , -0.44 3n-m 0.45 3n-m 2.,0 3n-m
Viga , - 9 -0.525 3n-m 0.22$ 3n-m 0.000 3n-m
Viga 9 - 5 -0.6"" 3n-m 0.29$ 3n-m 2.,0 3n-m
ESTADO 2M% Ma. Nega'ivo
M% Ma. &oii'ivoI+)%' D%'%=>
VIGAS
Viga " - "" -$.""5 3n-m $.902 3n-m $."90 3n-m
-".,9" 3n-m 0.02 3n-m 0.000 3n-m
Viga "2 - 6 -".56 3n-m ".65$ 3n-m 6.0 3n-m
Viga 2 - 4 -0.,45 3n-m 0.59" 3n-m $."90 3n-m
Viga 4 - "0 -0."2" 3n-m 0.090 3n-m 0.000 3n-m
Viga "0 - -0.$62 3n-m 0.$9 3n-m $."90 3n-m
Viga $ - , -0.,4 3n-m 0.42 3n-m $."00 3n-m
Viga , - 9 -0.52$ 3n-m 0.205 3n-m 0.000 3n-m
Viga 9 - 5 -0.$4 3n-m 0.2,5 3n-m $."00 3n-m
ESTADO 3M% Ma. Nega'ivo
M% Ma. &oii'ivoI+)%' D%'%=>
VIGAS
Viga " - "" -".5"4 3n-m 2.096 3n-m $.650 3n-m
-".269 3n-m 0.50" 3n-m 0.000 3n-m
Viga "2 - 6 -0.455 3n-m 0.,60 3n-m $.650 3n-m
Viga 2 - 4 -0.945 3n-m 0.422 3n-m 6.290 3n-m
Viga 4 - "0 -0.$65 3n-m 0."25 3n-m 0.000 3n-m
Viga "0 - -0.6"6 3n-m 0.6" 3n-m 6.290 3n-m
Viga $ - , -0.650 3n-m 0.,00 3n-m $.6$0 3n-m
Viga , - 9 -0.66" 3n-m 0.",$ 3n-m 0.000 3n-m
Viga 9 - 5 -0.$"" 3n-m 0.2"6 3n-m $.6$0 3n-m
M% Ma. Nega'ivo
%
PISO
SEGUNDOPISO
TERCERPISO
PRIMERPISO
Viga"" - "2
SEGUNDOPISO SEGUNDO
PISO
TERCERPISO
PRIMERPISO
Viga"" - "2
SEGUNDOPISO
TERCERPISO
PRIMERPISO
Viga"" - "2
SEGUNDOPISO
TERCERPISO
PRIMERPISO
Viga"" - "2
SEGUNDOPISO
TERCERPISO
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I+)%' D%'%=>
.
VIGAS
Viga " - "" -$."6 3n-m $.429 3n-m 6.640 3n-m
-".$, 3n-m 0.$29 3n-m 0.000 3n-m
Viga "2 - 6 -0.454 3n-m 0.9$, 3n-m $.640 3n-m
Viga 2 - 4 -0.900 3n-m 0.55, 3n-m $.220 3n-m
Viga 4 - "0 -0.0, 3n-m 0.2$0 3n-m 0.000 3n-m
Viga "0 - -0.662 3n-m 0.6$ 3n-m 6.2"0 3n-m
Viga $ - , -0.,0" 3n-m 0.44 3n-m $.00 3n-m
Viga , - 9 -0.69, 3n-m 0.0,9 3n-m 0.000 3n-m
Viga 9 - 5 -0.$22 3n-m 0.2" 3n-m 2.650 3n-m
ESTADO 5M% Ma. Nega'ivo
M% Ma. &oii'ivoI+)%' D%'%=>
VIGAS
Viga " - "" -".960 3n-m 2.0,4 3n-m $.640 3n-m
-0.99" 3n-m 0.9"5 3n-m 0.000 3n-m
Viga "2 - 6 -".9$6 3n-m ".4, 3n-m 6.640 3n-m
Viga 2 - 4 -0.450 3n-m 0.465 3n-m 6.2"0 3n-m
Viga 4 - "0 -0.$0 3n-m 0.059 3n-m 0.000 3n-m
Viga "0 - -0.$06 3n-m 0.$59 3n-m $.220 3n-m
Viga $ - , -0.6 3n-m 0.,0, 3n-m 2.650 3n-m
Viga , - 9 -0.$0" 3n-m 0.204 3n-m 0.000 3n-m
Viga 9 - 5 -0.65 3n-m 0.$"4 3n-m $.00 3n-m
ENVOLVENTEM% Maimo Nega'ivo
M% Ma. &oii'ivoI+)%' D%'%=>
VIGAS
Viga " - "" ".5"4 3n-m $.429 3n-m 6.640 3n-m
0.99" 3n-m 0.9"5 3n-m 0.000 3n-m
Viga "2 - 6 0.455 3n-m ".4, 3n-m 6.0 3n-m
Viga 2 - 4 0.,45 3n-m 0.465 3n-m 6.290 3n-m
Viga 4 - "0 0.0, 3n-m 0.2$0 3n-m 0.000 3n-m
Viga "0 - 0.$06 3n-m 0.650 3n-m 6.290 3n-m
Viga $ - , 0.650 3n-m 0.44 3n-m $.6$0 3n-m
Viga , - 9 0.$0" 3n-m 0.22$ 3n-m 0.000 3n-m
Viga 9 - 5 0.$"" 3n-m 0.$"4 3n-m $.6$0 3n-m
PRIMERPISO
Viga"" - "2
SEGUNDOPISO
TERCERPISO
PRIMERPISO
Viga"" - "2
SEGUNDOPISO
TERCERPISO
PRIMERPISO
Viga"" - "2
SEGUNDOPISO
TERCERPISO
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>A3OS >E SA& SON
OS CALCULADOS CON EL SAP - PORTICO 3-3
EM% Ma. Nega'ivo
M% Ma. &oii'ivoI+)%' D%'%=>
Viga " - "" ."$9 3n-m ,.5"4 3n-m .460 3n-m
6.,9" 3n-m 6.,9" 3n-m 0.000 3n-m
Viga "2 - 6 ,.5"4 3n-m ."$9 3n-m .460 3n-m
Viga 2 - 4 .96$ 3n-m ,.4" 3n-m .5"0 3n-m
Viga 4 - "0 6.656 3n-m 6.656 3n-m 0.000 3n-m
Viga "0 - ,.4" 3n-m .96$ 3n-m .5"0 3n-m
Viga $ - , 2.6, 3n-m 6.",, 3n-m $.,0 3n-m
Viga , - 9 2.4$ 3n-m 2.4$ 3n-m 0.000 3n-m
Viga 9 - 5 6.",, 3n-m 2.6, 3n-m $.,0 3n-m
OS CALCULADOS CON EL SAP - PORTICO 4-4
EM% Ma. Nega'ivo
M% Ma. &oii'ivoI+)%' D%'%=>
Viga " - "" 6.",$ 3n-m 5.25 3n-m 6.960 3n-m
6.0$6 3n-m 6.0$6 3n-m 0.000 3n-m
Viga "2 - 6 5.25 3n-m 6.",$ 3n-m 6.960 3n-m
Viga 2 - 4 6.,94 3n-m 5.2", 3n-m 6.60 3n-m
Viga 4 - "0 $.,2 3n-m $.,2 3n-m 0.000 3n-m
Viga "0 - 5.2", 3n-m 6.,94 3n-m 6.60 3n-m
Viga $ - , 2.26 3n-m $.,9, 3n-m $.290 3n-mViga , - 9 2.,05 3n-m 2.,05 3n-m 0.000 3n-m
Viga 9 - 5 $.,9, 3n-m 2.26 3n-m $.290 3n-m
OS CALCULADOS CON EL SAP - PORTICO 5-5
EM% Ma. Nega'ivo
M% Ma. &oii'ivoI+)%' D%'%=>
Viga " - "" .969 3n-m 9.56 3n-m 5.,60 3n-m
.609 3n-m .64 3n-m 0.000 3n-m
Viga "2 - 6 9.55, 3n-m .925 3n-m 5.,0 3n-m
Viga 2 - 4 5.50$ 3n-m 9.5$6 3n-m 5.$90 3n-mViga 4 - "0 .0,, 3n-m 6.420 3n-m 0.000 3n-m
Viga "0 - 9.$62 3n-m 5.6$5 3n-m 5."50 3n-m
Viga $ - , 2.,$5 3n-m 6.$50 3n-m $.,20 3n-m
Viga , - 9 $.0" 3n-m $.092 3n-m 0.000 3n-m
Viga 9 - 5 6.$92 3n-m 2.,04 3n-m $.,$0 3n-m
OS CALCULADOS CON EL SAP - PORTICO -
EM% Ma. Nega'ivo
M% Ma. &oii'ivoI+)%' D%'%=>
Viga " - "" .66$ 3n-m 9.242 3n-m 5.$"0 3n-m
6.929 3n-m 6.55$ 3n-m 0.000 3n-m
Viga "2 - 6 ,.96" 3n-m .",, 3n-m .4,0 3n-m
Viga 2 - 4 5.2$" 3n-m 9.2$0 3n-m .40 3n-m
Viga"" - "2
Viga"" - "2
Viga"" - "2
Viga"" - "2
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Viga 4 - "0 ."26 3n-m 6.455 3n-m 0."20 3n-m
Viga "0 - ,.,49 3n-m .4$, 3n-m .520 3n-m
Viga $ - , 2.90 3n-m 6.$" 3n-m $.4,0 3n-m
Viga , - 9 $.20, 3n-m $.$$, 3n-m 0.000 3n-m
Viga 9 - 5 6.94 3n-m 2.,, 3n-m $.4,0 3n-m
OS CALCULADOS CON EL SAP - PORTICO !-!
EM% Ma. Nega'ivo
M% Ma. &oii'ivoI+)%' D%'%=>
Viga " - "" $.46 3n-m .95, 3n-m 6.60 3n-m
$.,65 3n-m $.,65 3n-m 0.000 3n-m
Viga "2 - 6 .95, 3n-m $.46 3n-m 6.60 3n-m
Viga 2 - 4 6.529 3n-m .92" 3n-m 6.2"0 3n-m
Viga 4 - "0 $.60$ 3n-m $.60$ 3n-m 0.000 3n-m
Viga "0 - .92" 3n-m 6.529 3n-m 6.2"0 3n-m
Viga $ - , 2.6$, 3n-m 6."54 3n-m $.5"0 3n-m
Viga , - 9 2.45 3n-m 2.45 3n-m 0.000 3n-m
Viga 9 - 5 6."54 3n-m 2.6$, 3n-m $.5"0 3n-m
CO EE G-G 3RAMO "-5
Viga"" - "2
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E O3RO ES3R=C3=RA
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PROYECTO VIVIENDA MULTIFAMILIAR - 3 PSIOS
MOMENTOS VIGAS - PORTICOS Y-Y
No !a #a neeidad de !aer onm1inaione a +e no in'ervienen #a arga viva
MOMENTOS CALCULADOS CON EL SAP - PORTICO A-A
ENVOLVENTEM% Ma. Nega'ivo
M% Ma. &oii'ivoI+)%' D%'%=>
VIGAS
Vo#ado 0.5"0 3n-m 0.000 3n-m
VIGAS
".""4 3n-m ".0$" 3n-m 0.560 3n-m
Viga $ - 6 0.4 3n-m ".04 3n-m 0.690 3n-m
Viga 6 - 0.562 3n-m 0.9"$ 3n-m 0.$"0 3n-m
".02" 3n-m 0.960 3n-m 0.6"0 3n-m
Viga 5 - , 0.9,6 3n-m ".$ 3n-m 0.40 3n-m
Vo#ado 0.5"0 3n-m 0.000 3n-m
"."02 3n-m "."0$ 3n-m 0.5"0 3n-mViga $ - 6 0.5 3n-m "."20 3n-m 0.50 3n-m
Vo#ado 0.492 3n-m 0.000 3n-m
0.9," 3n-m "."0" 3n-m 0.$0 3n-m
Viga 5 - , 0.42$ 3n-m ".29 3n-m 0.4$0 3n-m
TRCER PISO
Vo#ado 0."95 3n-m 0.000 3n-m
0.25 3n-m 0.$94 3n-m 0.200 3n-m
Viga $ - 6 0.206 3n-m 0.$"5 3n-m 0.200 3n-m
Vo#ado 0.$00 3n-m 0.000 3n-m
0.600 3n-m 0.69, 3n-m 0.$00 3n-m
Viga 5 - , 0.26 3n-m 0.4 3n-m 0.2,0 3n-m
PRIMERPISO
Viga2 - $
Viga - 5
SEGUNDOPISO
Viga2 - $
Viga - 5
Viga2 - $
Viga - 5
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MOMENTOS CALCULADOS CON EL SAP - PORTICO #-# MOMENTOS CALC
ENVOLVENTEM% Ma. Nega'ivo
M% Ma. &oii'ivo ENVOLVENTEI+)%' D%'%=>
PRIMER PISO
Vo#ado 0." 3n-m 0.000 3n-m
VIGAS
PRIMER PISO
Vo#ado
0.4$$ 3n-m 0.94 3n-m 0.50 3n-m
Viga $ - 6 0.5", 3n-m 0.,4$ 3n-m 0.240 3n-m Viga $ - 6
Viga 6 - 0.,56 3n-m 0.592 3n-m 0.$00 3n-m Viga 6 -
0.904 3n-m 0.402 3n-m 0.00 3n-m
Viga 5 - , 0.2$4 3n-m 0.5", 3n-m 0.260 3n-m Viga 5 - ,
Vo#ado 0.64$ 3n-m 0.000 3n-m Vo#ado
0.99 3n-m 0.9,5 3n-m 0.20 3n-mViga $ - 6 0.52" 3n-m 0.," 3n-m 0.$00 3n-m Viga $ - 6
Viga 6 - 0.,24 3n-m 0.,0" 3n-m 0.$00 3n-m Viga 6 -
0.,4$ 3n-m 0.420 3n-m 0.00 3n-m
Viga 5 - , 0.$05 3n-m 0.,4 3n-m 0.220 3n-m Viga 5 - ,
TRCER PISO
Vo#ado 0."95 3n-m 0.000 3n-m
TRCER PISO
Vo#ado
0.$60 3n-m 0.$2, 3n-m 0."40 3n-m
Viga $ - 6 0.2$ 3n-m 0.$2, 3n-m 0."50 3n-m Viga $ - 6
Viga 6 - 0.2, 3n-m 0.252 3n-m 0.060 3n-m Viga 6 -
0.60 3n-m 0.600 3n-m 0.290 3n-m
Viga 5 - , 0.224 3n-m 0.0, 3n-m 0.$00 3n-m Viga 5 - ,
Viga2 - $ Viga2 - $
Viga - 5 Viga - 5
SEGUNDOPISO
SEGUNDOPISO
Viga2 - $ Viga2 - $
Viga - 5 Viga - 5
Viga2 - $ Viga2 - $
Viga - 5 Viga - 5
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LADOS CON EL SAP - PORTICO C-C MOMENTOS CALCULADOS CON EL SAP - PORTICO
M% Ma. Nega'ivoM% Ma. &oii'ivo ENVOLVENTE
M% Ma. Nega'ivo
I+)%' D%'%=> I+)%' D%'%=>
0." 3n-m 0.000 3n-m
VIGAS
Vo#ado 0.5"0 3n-m 0.000 3n-m
0.965 3n-m 0.9,5 3n-m 0.40 3n-m "."69 3n-m ".020 3n-m
0.209 3n-m 0.26 3n-m 0.040 3n-m Viga $ - 6 0.,,, 3n-m "."" 3n-m
0.2,4 3n-m 0.22 3n-m 0.050 3n-m Vo#ado 0.5,$ 3n-m 0.659 3n-m
0.00 3n-m 0.62 3n-m 0.2,0 3n-m ".5,6 3n-m ".6"2 3n-m
0.25 3n-m 0.", 3n-m 0.2,0 3n-m Viga 5 - , 0.400 3n-m ".5, 3n-m
0.64$ 3n-m 0.000 3n-m Vo#ado 0.5"0 3n-m 0.000 3n-m
0.,59 3n-m 0.940 3n-m 0.50 3n-m "."$" 3n-m ".0,$ 3n-m0.2$6 3n-m 0.60 3n-m 0."00 3n-m Viga $ - 6 0.5,$ 3n-m "."26 3n-m
0.262 3n-m 0.2" 3n-m 0.050 3n-m Vo#ado 0.000 3n-m 0."56 3n-m
0.659 3n-m 0.69$ 3n-m 0.2,0 3n-m "."4$ 3n-m ".,25 3n-m
0.$2$ 3n-m 0.640 3n-m 0.20 3n-m Viga 5 - , ".02 3n-m ".529 3n-m
0."95 3n-m 0.000 3n-m
TRCER PISO
Vo#ado 0."95 3n-m 0.000 3n-m
0.$" 3n-m 0.$", 3n-m 0."40 3n-m 0.29" 3n-m 0.$52 3n-m
0.245 3n-m 0.296 3n-m 0."00 3n-m Viga $ - 6 0.2, 3n-m 0.240 3n-m
0.29" 3n-m 0.292 3n-m 0.0$0 3n-m Vo#ado 0.000 3n-m 0.04, 3n-m
0.06 3n-m 0.6$0 3n-m 0.290 3n-m 0.60, 3n-m 0.69 3n-m
0.2"9 3n-m 0.2$ 3n-m 0.$00 3n-m Viga 5 - , 0.$52 3n-m 0.60, 3n-m
PRIMERPISO
Viga2 - $
Viga - 5
SEGUNDOPISO
Viga2 - $
Viga - 5
Viga2 - $
Viga - 5
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-D
M% Ma. &oii'ivo
0.560 3n-m
0.60 3n-m
0.000 3n-m
0.4"0 3n-m
0.990 3n-m
0.520 3n-m0.90 3n-m
0.440 3n-m
0.9$0 3n-m
0.2"0 3n-m
0."90 3n-m
0.$20 3n-m
0.250 3n-m
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PROYECTO VIVIENDA MULTIFAMILIAR - 3 PSIOS
DISEHO DE VIGAS PRINCIPALES
VIGAS PRINCIPALES EJE 2-2
PISO VIGASM M. N%0,)&
M M. P&)),)I+)%' D%'%=>
&R@MER &@SO
Viga A - G ".5"4 3n-m $.429 3n-m 6.640 3n-m
Viga G - C 0.99" 3n-m 0.9"5 3n-m 0.000 3n-m
Viga C - > 0.455 3n-m ".4, 3n-m 6.0 3n-m
Viga A - G 0.,45 3n-m 0.465 3n-m 6.290 3n-m
Viga G - C 0.0, 3n-m 0.2$0 3n-m 0.000 3n-m
Viga C - > 0.$06 3n-m 0.650 3n-m 6.290 3n-m
3ERCER &@SO
Viga A - G 0.650 3n-m 0.44 3n-m $.6$0 3n-m
Viga G - C 0.$0" 3n-m 0.22$ 3n-m 0.000 3n-m
Viga C - > 0.$"" 3n-m 0.$"4 3n-m $.6$0 3n-m
1. DIMENSION Y PROPIEDADES DE LA VIGA
1 2.00 m P%'/,% E%=,) % / &%==):
! $.00 m A+mo : $/6 ".4" m
;
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M7 (B" 4.498 T-7 M7 (B" 4.558 T-7
1 2.00 m 1 2.00 m
d 24."0 m d 24."0 m
0.4 0.4
A+mir: a 0."0.d a 2.4" m A+mir: a 0."0.d
A 6.24, m a 6.06 m RE&E3@R A 6.$ m
A 6.$99 m a 6."$ m RE&E3@R A 6.6" m
A 6.$46 m a 6."6 m OK A 6.69 m
A& 4.395 =7 A& 4.459 =7
U&' 2 P "/2 " P /9 A 6.50 m U&' 2 P "/2 "
SEGUNDO PISO
M7 4.268 T-7
1 2.00 m
d 24."0 m
0.4
A+mir: a 0."0.d a 2.4" m
A 6.045 m a $.95 m RE&E3@R
A 6."59 m a $.42 m RE&E3@R
A 6.",$ m a $.4$ m OK
A& 4.1!3 =7
U&' 2 P "/2 " P /9 A 6.50 m
TERCER PISO
M7 3.438 T-7
1 2.00 m
d 24."0 m
0.4
A+mir: a 0."0.d 2.4" m
A $.29$ m $.04 m RE&E3@R
A $.246 m $."0 m RE&E3@R
A $.246 m $."0 m OK
A& 3.294 =7
U&' $ P "/2 A $.9,0 m
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COM#INACIONES RECOMENDADAS
1O &@SO
M ma 0.,45 3n-m 0.465 3n-m
M ma 0.0, 3n-m 0.2$0 3n-m
M ma 0.$06 3n-m 0.650 3n-m
3ERCER &@SO
M ma 0.650 3n-m 0.44 3n-m
M ma 0.$0" 3n-m 0.22$ 3n-mM ma 0.$"" 3n-m 0.$"4 3n-m
PRIMER PISO
2 ) 3/(
2 ) /(
$ ) 3/(
2 ) 3/4
2 ) 1
$ ) 1
NO3A: La e#da +e e'an de ;ondo 1#ano on om1i*+eden 'omar *or+e on menore +e e# aerro minimaero maimo 'am1ien +ando e'an o1re*aando en
.fyAs =
a8.0
=
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M7 (-" 1.19 T-7 M7 (-"
1 2.00 m 1
d 24."0 m d
0.4
a 2.4" m A+mir: a 0."0.d a 2.4" m A+mir:
a 6."0 m RE&E3@R A ".0 m a ".65 m RE&E3@R A
a 6."4 m RE&E3@R A "."0 m a ".62 m RE&E3@R A
a 6.20 m OK A ".04 m a ".62 m OK A
A& 1.589 =7 A
P /9 A 6.50 m A&
U&' " P "/2 2 P $/9 A 2.,"0 m U&'
M7 (-" 8.61 T-7 M7 (-"
1 2.00 m 1
d 24."0 m d
0.4
A+mir: a 0."0.d a 2.4" m A+mir:
A 0.,9" m a 0.,6 m RE&E3@R A
A 0.,2 m a 0.," m RE&E3@R A
A 0.," m a 0.," m OK A
A& 8.!51 =7 A&
U&' $ P "/2 A $.9,0 m U&'
SEGUNDO PISO
M7 (-" 8.!9 T-7 M7 (-"
1 2.00 m 1
d 24."0 m d
0.4
A+mir: a 0."0.d a 2.4" m A+mir:
A 0.,52 m a 0.,2 m RE&E3@R A
A 0.,$$ m a 0.54 m RE&E3@R A
A 0.,$$ m a 0.54 m OK A
A 0.,$$ m a 0.54 m OK A
A& 8.!33 =7 A&
U&' " P "/2 " P /9 A $.2,0 m U&'
M7 (-" 8.238 T-7 M7 (-"
1 2.00 m 1
d 24."0 m d
0.4
A+mir: a 0."0.d a 2.4" m A+mir:
A 0.22" m a 0.2" m RE&E3@R A
A 0.2"0 m a 0.20 m OK A
A 0.2"0 m a 0.20 m OK A
A 0.2"0 m a 0.20 m OK A
A& 8.218 =7 A&
U&' " P "/2 " P /9 A $.2,0 m U&'
TERCER PISO
M7 (-" 8.48 T-7 M7 (-"
1 2.00 m 1
d 24."0 m d
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0.4
A+mir: a 0."0.d a 2.4" m A+mir:
A 0.660 m a 0.6" m RE&E3@R A
A 0.62" m a 0.60 m RE&E3@R A
A 0.62" m a 0.60 m OK A&
A& 8.421 =7
U&' 2 P "/2 A 2.90 m U&'
M7 (-" 8.223 T-7 M7 (-"
1 2.00 m 1
d 24."0 m d
0.4
A+mir: a 0."0.d a 2.4" m A+mir:
A 0.2"6 m a 0.20 m RE&E3@R A
A 0.206 m a 0."4 m OK A
A 0.20$ m a 0."4 m OK A
A& 8.283 =7 A&
U&' $ P $/9 A 2."$0 m U&'
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* 7) ACEROS COMERCIALES
".$0 m #ARRA DIAMETRO P%& A'%
".52 m +7%' +/0 =7 ;0
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3.926 T-7 M7 (-" 8.661 T-7
2.00 m 1 2.00 m
24."0 m d 24."0 m
0.4 0.4
a 0."0.d a 2.4" m A+mir: a 0."0.d a 2.4" m
$.,50 m a $.6 m RE&E3@R A 0.96$ m a 0.,4 m
$.90$ m a $.9 m RE&E3@R A 0.9"2 m a 0.,5 m
$.905 m a $.9 m OK A 0.9"2 m a 0.,5 m
$.905 m a $.9 m OK A& 8.612 =7
3.68 =7
2 P $/6 A .,00 m U&' 2 P "/2
8.9 T-7 M7 (-" 1.59! T-7
2.00 m 1 2.00 m
24."0 m d 24."0 m
0.4 0.4
a 0."0.d a 2.4" m A+mir: a 0."0.d a 2.4" m
0.426 m a 0.9, m RE&E3@R A ".29 m a ".66 m
0.94" m a 0.96 m RE&E3@R A ".694 m a ".60 m
0.94" m a 0.96 m OK A ".699 m a ".60 m
8.691 =7 A& 1.466 =7
" P "/2 " P $/6 A 6."60 m U&' $ P "/2
SEGUNDO PISO SEGUNDO PISO
8.94 T-7 M7 (-" 8.8!5 T-7
2.00 m 1 2.00 m
24."0 m d 24."0 m
0.4 0.4
a 0."0.d a 2.4" m A+mir: a 0."0.d a 2.4" m
0.40 m a 0.9 m RE&E3@R A 0.0,2 m a 0.0, m
0.9,$ m a 0.92 m RE&E3@R A 0.059 m a 0.05 m
0.9,2 m a 0.92 m OK A 0.059 m a 0.05 m
0.9,2 m a 0.92 m OK A& 8.86 =7
8.6!2 =7
2 P $/6 A .,00 m U&' $ P $/9
8.384 T-7 M7 (-" 8.48 T-7
2.00 m 1 2.00 m
24."0 m d 24."0 m
0.4 0.4
a 0."0.d a 2.4" m A+mir: a 0."0.d a 2.4" m
0.24" m a 0.2, m RE&E3@R A 0.660 m a 0.6" m
0.2,9 m a 0.25 m RE&E3@R A 0.62" m a 0.60 m
0.2,9 m a 0.25 m OK A 0.62" m a 0.60 m
0.2,9 m a 0.25 m OK A& 8.421 =7
8.2!6 =7
" P "/2 " P $/6 A 6."60 m U&' 2 P /9
TERCER PISO TERCER PISO
8.995 T-7 M7 (-" 8.381 T-7
2.00 m 1 2.00 m
24."0 m d 24."0 m
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0.4 0.4
a 0."0.d a 2.4" m A+mir: a 0."0.d a 2.4" m
0.4$ m a 0.40 m RE&E3@R A 0.299 m a 0.2, m
0.4"4 m a 0.9, m RE&E3@R A 0.2, m a 0.25 m
8.919 =7 A 0.2, m a 0.25 m
A& 8.2!5 =7
$ P "/2 A $.9,0 m U&' 2 P "/2
8.311 T-7 M7 (-" 8.319 T-7
2.00 m 1 2.00 m
24."0 m d 24."0 m
0.4 0.4
a 0."0.d a 2.4" m A+mir: a 0."0.d a 2.4" m
0.249 m a 0.29 m RE&E3@R A 0.$0 m a 0.24 m
0.296 m a 0.2, m RE&E3@R A 0.242 m a 0.2, m
0.296 m a 0.2, m OK A 0.242 m a 0.2, m
8.264 =7 A& 8.292 =7
2 P "/2 A 2.90 m U&' " P "/2 " P $/9
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VIGAS PRINCIPALES EJE 3-3
PISO VIGASM M. N%0,)&
M M. P&)),)I+)%' D%'%=>
&R@MER &@SO
Viga A - G ."$9 3n-m ,.5"4 3n-m 0.69" 3n-m
Viga G - C 6.,9" 3n-m 6.,9" 3n-m 4.,55 3n-m
Viga C - > ,.5"4 3n-m ."$9 3n-m 0.629 3n-m
Viga A - G .96$ 3n-m ,.4" 3n-m 0.$$5 3n-m
Viga G - C 6.656 3n-m 6.656 3n-m ,5.452 3n-m
Viga C - > ,.4" 3n-m .96$ 3n-m 0.26" 3n-m
3ERCER &@SO
Viga A - G 2.6, 3n-m 6.",, 3n-m 0.$$5 3n-m
Viga G - C 2.4$ 3n-m 2.4$ 3n-m ,5.452 3n-m
Viga C - > 6.",, 3n-m 2.6, 3n-m 0.26" 3n-m
1. DIMENSION Y PROPIEDADES DE LA VIGA
1 $0.00 m P%'/,% E%=,) % / &%==):
! ,0.00 m A+mo : $/6 ".4" m
;O&@SO
SE=N>O&@SO
)2/.(. adfy
MuAs
=
bcf
fyAsa
.'.85.0
.=
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M7 (B" 8.461 T-7
1 $0.00 m
d 56."0 m
0.4
A+mir: a 0."0.d a 5.6" m
RE&E3@R A 0.204 m a 0.20 m RE&E3@R
RE&E3@R A 0."44 m a 0."4 m OK
OK A 0."44 m a 0."4 m OK
A 0."44 m a 0."4 m OK
A& 8.199 =7
A 2.90 m U&' 2 P "/2 2 P /9 A 5.60 m
SEGUNDO PISO
M7 8.33 T-7
1 $0.00 m
d 56."0 m
0.4
RE&E3@R
RE&E3@R A+mir: a 0."0.d a 5.6" m
OK A 0."65 m a 0."6 m RE&E3@R
A 0."$4 m a 0."$ m OK
A $.9,0 m A 0."$4 m a 0."$ m OK
A 0."$4 m a 0."$ m OK
A& 8.139 =7
U&' $ P "/2 " P /9 A .90 m
TERCER PISO
M7 8.33 T-7
1 $0.00 m
d 56."0 m
RE&E3@R 0.4
OK
OK A+mir: a 0."0.d 5.6" m
A 0."65 m 0."6 m RE&E3@R
A 0."$4 m 0."$ m OK
A 2."$0 m A& 8.139 =7
U&' $ P "/2 A $.9,0 m
RE&E3@R
RE&E3@R
OK
A $.450 m
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RE&E3@R
RE&E3@R
OK
A 2.90 m
RE&E3@R
RE&E3@R
OK
A 2.000 m
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#. ACEROS NEGATIVOS I+)%' D%'%=> ORM=LAS
&R@MER &@SO
M ma ."$9 3n-m ,.5"4 3n-m
M ma 6.,9" 3n-m 6.,9" 3n-m
M ma ,.5"4 3n-m ."$9 3n-m
M ma .96$ 3n-m ,.4" 3n-m
M ma 6.656 3n-m 6.656 3n-m
M ma ,.4" 3n-m .96$ 3n-m
3ERCER &@SO
M ma 2.6, 3n-m 6.",, 3n-m
M ma 2.4$ 3n-m 2.4$ 3n-m
M ma 6.",, 3n-m 2.6, 3n-m
PRIMER PISO PRIMER PISO
SE=N>O&@SO
)2/.(. adfy
MuAs
=
bcf
fyAsa
.'.85.0
.=
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M7 (-" 5.136 T-7 M7 (-" !.19 T-7
1 $0.00 m 1 $0.00 m
d 56."0 m d 56."0 m
0.4 0.4
A+mir: a 0."0.d a 5.6" m A+mir: a 0."0.d a 5.6" m
A 2.2$2 m a 2."0 m RE&E3@R A $.$"0 m a $."2 m RE&E3@R
A 2."5 m a 2.0$ m RE&E3@R A $.22$ m a $.0$ m RE&E3@R
A 2." m a 2.0$ m OK A $.22" m a $.0$ m OK
A 2." m a 2.0$ m OK A $.22" m a $.0$ m OK
A& 2.155 =7 A $.22" m a $.0$ m OK
A& 3.221 =7
U&' 6 P "/2 A ."50 m U&' " P $/6 " P " A ,.40 m
SEGUNDO PISO SEGUNDO PISO
M7 (-" 5.643 T-7 M7 (-" !.591 T-7
1 $0.00 m 1 $0.00 m
d 56."0 m d 56."0 m
0.4 0.4
A+mir: a 0."0.d a 5.6" m A+mir: a 0."0.d a 5.6" m
A 2.$9 m a 2.$4 m RE&E3@R A $.249 m a $."0 m RE&E3@R
A 2.6, m a 2.$" m RE&E3@R A $.2"" m a $.02 m RE&E3@R
A 2.65 m a 2.$" m OK A $.204 m a $.02 m OK
A 2.65 m a 2.$" m OK A $.204 m a $.02 m OK
A& 2.45 =7 A $.204 m a $.02 m OK
A& 3.289 =7
U&' $ P /9 A .460 m U&' 6 P /9 A ,.420 m
TERCER PISO TERCER PISO
M7 (-" 2.54! T-7 M7 (-" 4.1!! T-7
1 $0.00 m 1 $0.00 m
d 56."0 m d 56."0 m
0.4 0.4
A+mir: a 0."0.d a 5.6" m A+mir: a 0."0.d a 5.6" m
A "."0, m a ".06 m RE&E3@R A ".9" m a ".," m RE&E3@R
A ".050 m a ".00 m RE&E3@R A ".,6, m a ".56 m RE&E3@R
A ".050 m a ".00 m OK A ".,65 m a ".56 m OK
A& 1.88 =7 A& 1.!4 =7
U&' 2 P "/2 A 2.90 m U&' " P "/2 " P $/6 A 6."60 m
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VIGAS PRINCIPALES
PISO VIGASM M.
I+)%'
&R@MER &@SO
Viga A - G 6.",$ 3n-m
Viga G - C 6.0$6 3n-m
Viga C - > 5.25 3n-m
SE=N>O &@SO
Viga A - G 6.,94 3n-m
Viga G - C $.,2 3n-m
Viga C - > 5.2", 3n-m
3ERCER &@SO
Viga A - G 2.26 3n-m
Viga G - C 2.,05 3n-m
Viga C - > $.,9, 3n-m
1. DIMENSION Y PROPIEDAD
1 2.00 m P%'
! $.00 m A+mo :
;
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M7 (-" 4.!61 T-7 M7 (B" 4.648 T-7
1 $0.00 m 1 $0.00 m
d 56."0 m d 56."0 m
0.4 0.4
A+mir: a 0."0.d a 5.6" m A+mir: a 0."0.d a 5.6" m
A 2.0,, m a ".4 m RE&E3@R A 2."0$ m a ".49 m
A 2.006 m a ".94 m RE&E3@R A 2.024 m a ".4" m
A 2.00$ m a ".99 m OK A 2.029 m a ".4" m
A& 2.883 =7 A& 2.826 =7
U&' 6 P "/2
U&' 6 P "/2 A ."50 m SEGUNDO PISO
M7 4.548 T-7
SEGUNDO PISO 1 $0.00 m
M7 (-" 4.44 T-7 d 56."0 m
1 $0.00 m 0.4
d 56."0 m
0.4 A+mir: a 0."0.d a 5.6" m
A ".4,2 m a ".95 m
A+mir: a 0."0.d a 5.6" m A ".40" m a ".,4 m
A ".460 m a ".9$ m RE&E3@R A ".400 m a ".,4 m
A ".954 m a ".,5 m RE&E3@R A& 1.988 =7
A ".959 m a ".,5 m OK U&' $ P "/2 " P $/9
A& 1.66 =7
TERCER PISO
M7 3.268 T-7
U&' 2 P "/2 " P /9 A 6.50 m 1 $0.00 m
d 56."0 m
TERCER PISO 0.4
M7 (-" 2.935 T-7
1 $0.00 m A+mir: a 0."0.d 5.6" m
d 56."0 m A ".62 m ".$6 m
0.4 A ".$59 m ".24 m
A& 1.36 =7
A+mir: a 0."0.d a 5.6" m U&' " P "/2 " P /9
A ".2, m a ".20 m RE&E3@R
A ".22$ m a "." m RE&E3@R
A ".222 m a "." m OK
A& 1.222 =7
U&' 6 P $/9 A 2.960 m
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EJE 4-4
N%0,)&M M. P&)),)D%'%=>
5.25 3n-m 6.960 3n-m
6.0$6 3n-m 0.000 3n-m
6.",$ 3n-m 6.960 3n-m
5.2", 3n-m 6.60 3n-m
$.,2 3n-m 0.000 3n-m
6.,94 3n-m 6.60 3n-m
$.,9, 3n-m $.290 3n-m
2.,05 3n-m 0.000 3n-m
2.26 3n-m $.290 3n-m
ES DE LA VIGA
/,% E%=,) % / &%==):
$/6 ".4" m
$/9 0.4 m
! - Re+1 - e'ri1 - a+mo/2
24."0 m
ERO MINIMO
P $/9 ".620 m
" P $/9 2.000 m
ERO MAIMO
00;))
P $/6 "".600 m
" P /9 "2."90 m
RZO EN LA VIGA #. ACEROS NEGATIVOS I+)%' D%'%=> O
ORM=LAS M ma 6.",$ 3n-m 5.25 3n-m
M ma 6.0$6 3n-m 6.0$6 3n-m
0 o#oar aero minimo M ma 5.25 3n-m 6.",$ 3n-m
M ma 6.,94 3n-m 5.2", 3n-m
M ma $.,2 3n-m $.,2 3n-m
M ma 5.2", 3n-m 6.,94 3n-m
M ma 2.26 3n-m $.,9, 3n-m
M ma 2.,05 3n-m 2.,05 3n-m
M ma $.,9, 3n-m 2.26 3n-m
PRIMER PISO
&R@MER&@SO
SE=N>O&@SO
3ERCER&@SO
)2/.(. adfy
MuAs
=
bcf
fyAsa
.'.85.0
.=
.As =
a0
=
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M7 (-" 4.1!3 T-7 M7 (-"
1 $0.00 m 1
d 5