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7/24/2019 Teoria de Losas Hormigon
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DETERMINACIÓN DEL ESPESOR DE LA LOSA MACIZA
h = =
h = 11,60 m
h = =
h = 12,95 m.
ASUMIMOS e ó h = 13 cm
DETERMINACION DEL TIPO DE LOSA
Para el presente caso.A = 5,18 m
B = 5,30 m
5,3 < 2*5,18
5,3 < 10,9 (Losa e !os !"#ecc"oes$.
Para el presente caso.A = 2,50 m
B = 5,18 m
5,18 % 2*2,50
5,18 % 5 (Losa e &a !"#ecc"ó$.
Para el presente caso.
ANÁLISIS DE CARGAS
B < 2A (Losa e !os !"#ecc"oes$.
B % 2A (Losa e &a !"#ecc"ó$.
Se m&es'#a e )aos )as )osas 1 so e !os !"#ecc"oe
Se m&es'#a e )aos )as )osas 2 so e &a !"#ecc"ó.
+180
(2(518$2(530$$+180
+-0 518+-0
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Análisis de cargas
Losa !aci"a.
=
=
eso #o"o 'a/"&e#"a =
eso #o"o ce#am"ca =
O'#as ca#as =
DISTRI#$CI%N DE CAR&AS EN LOS E'ES ()*+,.
a#a )osas e !os !"#ecc"oes se !e'a))a e )as s"&"ee'es o#m&)
593 +m
341 +m
Carga M-erta
eso #o"o )osa 0,13m * 2-52 +m3
eso #o"o ca#e'a !e "e)ac"ó 2100 +m3 * 0,03 m
eso #eo&e c"e)o #aso 1250 +m3 * 0,02m
7AA :O:AL MU;:A = 593,00 +m2.
7AA :O:AL IA = 341,00 +m2.
' =
>
L>
= 5,18 m
L
= 5,30 m
7AA :O:AL MU;:A = 593 +m2* 1m =
7AA :O:AL IA = 341 +m2* 1m =
>= 310 +m
qx = [ ? $@-$+( (( $@- $@-$( (
qy = [ ? $@-$+( (
( $@- $@-$( (
qx = [ ? $@-$+( (
( $@- $@-$( (
qx =[ (593?(5,30$@-$+((5,18$@-(5,30$@-$
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Carga ia
Carga M-erta
= 283 +m
>= 19- +m
= 144 +m
L>
= 3,15 m
L
= 5,30 m
>= 524 +m
qy = [ ? $@-$+( (
( $@- $@-$( (
qy = [ (593?(5,18$@-$+((5,18$@-(5,30$@-$
qx = [ ? $@-$+( (
( $@- $@-$( (
qx = [ (341?(5,3$@-$+((5,18$@-(5,30$@-$
qy = [ ? $@-$+( (
( $@- $@-$( (
qy = [ (341?(5,18$@-$+((5,18$@-(5,30$@-$
qx = [ ? $@-$+( (( $@- $@-$( (
qx =[ (593?(5,30$@-$+((3,15$@-(5,30$@-$
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Carga ia
Carga M-erta
= 66 +m
> = 330 +m
= -1 +m
L>
= 5,18 m
L
= -,48 m
> = 2-9 +m
qy = [ ? $@-$+( (( $@- $@-$( (
qy = [ (593?(3,15$@-$+((3,15$@-(5,30$@-$
qy = [ ? $@-$+( (
( $@- $@-$( (
qy =
[ (341?(3,15$@-$+((3,15$@-(5,30$@-$
qx = [ ? $@-$+( (
( $@- $@-$( (
qx = [ (341?(5,30$@-$+((3,15$@-(5,30$@-$
qx = [ ? $@-$+( (
( $@- $@-$( (
qx =[ (593?(-,48$@-$+((5,18$@-(-,48$@-$
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Carga ia
Carga M-erta
= 3--+m
> = 1-8 +m
= 215 +m
L>
= 3,15 m
L
= 2,-3 m
> = 155 +m
qy = [ ? $@-$+( (( $@- $@-$( (
qy = [ (593?(5,18$@-$+((5,18$@-(-,48$@-$
qx = [ ? $@-$+( (
( $@- $@-$( (
qx = [ (341?(-,48$@-$+((5,30$@-(-,48$@-$
qy = [ ? $@-$+( (
( $@- $@-$( (
qy = [ (341?(5,18$@-$+((5,18$@-(-,48$@-$
qx = [ ? $@-$+( (
( $@- $@-$( (
qx =[ (593?(2,-3$@-$+((3,15$@-(2,-3$@-$
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Carga ia
= -38 +m
> = 94 +m
= 24- +m
qy = [ ? $@-$+( (( $@- $@-$( (
qy = [ (593?(3,15$@-$+((3,15$@-(2,-3$@-$
qx = [ ? $@-$+( (
( $@- $@-$( (
qx = [ (341?(2,-3$@-$+((3,15$@-(2,-3$@-$
qy = [ ? $@-$+( (
( $@- $@-$( (
qy = [ (341?(3,15$@-$+((3,15$@-(2,-3$@-$
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.
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s
320 +m2
63 +m2
25 +m2
125 +m2
30 +m2
30 +m2
593 +m2
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"a 13
DETERMINACIÓN DEL ESPESOR DE LA LOSA NERVADA
h = =
h = 18,60 m
h = =
h = 19,95 m.
ASUMUIMOS e ó h = 20 cm
DETERMINACION DEL TIPO DE LOSA
Para el presente caso.A = 5,18 m
B = 5,30 m
5,3 < 2*5,18
5,3 < 10,9 (Losa e !os !"#ecc"oes$.
Para el presente caso.A = 2,50 m
B = 5,18 m
5,18 % 2*2,50
5,18 % 5 (Losa e &a !"#ecc"ó$.
Para el presente caso.
ANÁLISIS DE CARGAS
B < 2A (Losa e !os !"#ecc"oes$.
B % 2A (Losa e &a !"#ecc"ó$.
Se m&es'#a e )aos )as )osas 1 so e !os !"#ecc"oes.
Se m&es'#a e )aos )as )osas 2 so e &a !"#ecc"ó.
+180
(2(518$2(530$$+1804
+-04
518+-04
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"a 1-
Análisis de cargas
Losa nerada en 1 direcci/n.
=eso #o"o )osa (e#"o, )osa com)eme'o$ =
=
eso #o"o 'a/"&e#"a =
eso #o"o ce#am"ca =
O'#as ca#as =
Losa nerada en 2 direcciones.
=
eso #o"o )osa (e#"o, )osa com)eme'o$ =
=
eso #o"o 'a/"&e#"a =eso #o"o ce#am"ca =
O'#as ca#as =
Losa nerada en 1 direcci/n.
Losa nerada en 2 direcciones.
eso #o"o )osa 2-52 +m3 * 0,08m
eso #o"o ca#e'a !e "e)ac"ó 2100 +m3 * 0,03 m
eso #eo&e c"e)o #aso 1250 +m3 * 0,02m
7AA :O:AL MU;:A = 5-3,00 +m2.
7AA :O:AL IA = 341,00 +m2.
eso #o"o )osa 2-52 +m3 * 0,08m
eso #o"o ca#e'a !e "e)ac"ó 2100 +m3 * 0,03 m
eso #eo&e c"e)o #aso 1250 +m3 * 0,02m
7AA :O:AL MU;:A = 616,00 +m2.
7AA :O:AL IA = 341,00 +m2.
A :O:AL MU;:A = 5-3,00 +m2. *0,50 m
A :O:AL IA = 341,00 +m2. * 0,50 m
AA :O:AL MU;:A = 616,00 +m2. * 0,50 m
A :O:AL IA = 341,00 +m2. * 0,50 m
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"a 15
DISTRI#$CI%N DE CAR&AS EN LOS E'ES ()*+,.
a#a )osas e !os !"#ecc"oes se !e'a))a e )as s"&"ee'es o#m&)a
308 +m
186 +m
Carga M-erta
Carga ia
' =
>
L>
= 5,18 m
L = 5,30 m
7AA :O:AL MU;:A =
7AA :O:AL IA =
>= 161 +m
= 1-4 +m
qx = [ ? $@-$+( (
( $@- $@-$( (
qy = [ ? $@-$+( (
( $@- $@-$( (
qx = [ ? $@-$+( (
( $@- $@-$( (
qx =
[ (308?(5,30$@-$+((5,18$@-(5,30$@-$
qy = [ ? $@-$+( (
( $@- $@-$( (
qy = [ (308?(5,18$@-$+((5,18$@-(5,30$@-$
qx = [ ? $@-$+( (
( $@- $@-$( (
qx = [ (186?(5,3$@-$+
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"a 16
Carga M-erta
Carga ia
>= 94 +m
= 89 +m
L>
= 3,15 m
L
= 5,30 m
>= 24- +m
= 3- +m
> = 165 +m
((5,18$@-(5,30$@-$
qy = [ ? $@-$+( (
( $@- $@-$( (
qy = [ (186?(5,18$@-$+((5,18$@-(5,30$@-$
qx = [ ? $@-$+( (
( $@- $@-$( (
qx =[ (308?(5,30$@-$+((3,15$@-(5,30$@-$
qy = [ ? $@-$+( (
( $@- $@-$( (
qy = [ (308?(3,15$@-$+((3,15$@-(5,30$@-$
qx = [ ? $@-$+( (
( $@- $@-$( (
qx = [ (186?(5,30$@-$+((3,15$@-(5,30$@-$
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"a 18
Carga M-erta
Carga ia
= 108 +m
L>
= 3,15 m
L
= 2,-3 m
> = 81 +m
= 224 +m
> = -9 +m
= 134 +m
qy = [ (186?(5,18$@-$+((5,18$@-(-,48$@-$
qx = [ ? $@-$+( (
( $@- $@-$( (
qx =[ (308?(2,-3$@-$+((3,15$@-(2,-3$@-$
qy = [ ? $@-$+( (
( $@- $@-$( (
qy = [ (308?(3,15$@-$+((3,15$@-(2,-3$@-$
qx = [ ? $@-$+( (
( $@- $@-$( (
qx = [ (186?(2,-3$@-$+((3,15$@-(2,-3$@-$
qy = [ ? $@-$+( (
( $@- $@-$( (
qy = [ (186?(3,15$@-$+((3,15$@-(2,-3$@-$
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"a 19
ESTADOS DE CAR&A LOSA EN DIRECCI%N 0)0 TRAMOS 32
3,15 2,25 5,18
4 3 2 1
194,00 Kg-m
310,00 Kg-m
371,00 Kg-m
593,00 Kg-m
330,00 Kg-m
527,00 Kg-m
194,00 Kg-m
310,00 Kg-m593,00 Kg-m
330,00 Kg-m
527,00 Kg-m
310,00 Kg-m
371,00 Kg-m
593,00 Kg-m527,00 Kg-m
310,00 Kg-m
371,00 Kg-m
593,00 Kg-m
330,00 Kg-m
527,00 Kg-m
194,00 Kg-m
310,00 Kg-m
371,00 Kg-m
593,00 Kg-m527,00 Kg-m
Mmax= -860,57 Kg-m
Mmax= -699,48 Kg-mMmax= -1282,34 Kg-m
Mmax= 812,41 Kg-m
Mmax= 1134,35 Kg-m
Mmax= -1295,11 Kg-m
Mmax= 24,10 Kg-m
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"a 20
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"a 21
242 +m
186 +m
308 +m
186 +m
196,16 +m3
43,6 +m2
63 +m2
25 +m2
125 +m2
30 +m2
30 +m2
5-3 +m2
196,16 +m3
1-4,12 +m2
63 +m2
25 +m2
125 +m2
30 +m2
30 +m2
616,28 +m2
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"a 22
s
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"a 23
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"a 2-
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"a 25
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1
1
95,11 Kg-m