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7/17/2019 Ejemplo Antisismica
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E J E M P L O P R A C T I C O A N T I S I S M I C A P á g i n a | 1
Metrados de Cargas
Peso loza: 16 x 16 x 0.3 = 76.80 ton.
Peso col. (1° entre!so": 3.5 x 0.4 x 0.4 x 16 x 2.40= 21.50
Peso col. (#$% & ' entre!so": 3.0 x 0.4 x 0.4 x 16 x 2.4=
18.43 ton.
Peso col. (° entre!so": 1.5 x 0.4 x 0.4 x 16 x 2.4 = 9.22
ton.
Peso )!ga: 14.8 x 0.3 x 0.6 x 4 x 2.4 + 14.6 x 0.3 x 0.6 x 4 x
2.4= 50.80 ton.
So*recarga: 16 x 16 x 0.2= 51.20
C+
(ton"
C)
(ton
"
Ct,(C+-
.#/C)"
P1
P#
P%
P'
P
1'0.
1
1'.
%
1'.%
1.#
1.#
1.#
11.0
12.2%
12.2%
12.2%
1'0.#
A
B
C
D
4321Col: 0.40m x 0.40m
3!gas: 0.30m x 0.60m
Alt4ra P!sos
51, 4.00m
5#, 3.00m
5%, 3.00m
5', 3.00m
5, 3.00m
67c , 210 kg/m2
C.M
C.3
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E J E M P L O P R A C T I C O A N T I S I S M I C A P á g i n a | #
1'.
%
1%.
2#
1.#
1.#
Pt, Peso total(ton",
822.1
9, 0.40
, 1.00
S, 1.20
R, 8
T, !/C"
T , 16/35 =
0.46
C, 2.50 #"$/"%
C, 2.50 #0.6/0.46%
C, 3.26 & 2.50 = C= 2.50
3 , (9CS;R"<PESO, (0.4#1%#2.5%#1.20%/8"'788.01,
118.20 ton.
Entre!
so
Peso;!
so
Alt4r
a
Peso<alt
4ra
peso∗altura
∑ peso∗altura 3 =1 >
1
#
%
'
11.0
12.2%
12.2%
12.2%
1'0.#
'.
8.
1.
1%.
1.
'8.
1111.21
122.%
#'.80
#%0%.0#
.2%
.10#
.#%
.#'
.%8
112.#
112.#
112.#
112.#
112.#
0.21
1.82
#%.00
%1.#
%.#0
112.#
12.#
01.'2
8.'0
%.#0
822.1 82.'#112.#
()1#100*% )2)2)2)2 )1)1)1)1 CBA
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E J E M P L O P R A C T I C O A N T I S I S M I C A P á g i n a | %
?eter+!nac!@n de las R!g!deces or Mtodo de
B!l*4r
Pr!+er Entre!so
R1= 48 E
h1 [ 4h1
∑ KC 1+
h1+h2
∑ Kt 1+∑ KC 1
12 ]
Seg4ndo Entre!so
R2= 48 E
h2[ 4 h2
∑ KC 2+
h1+h2
∑ Kt 1+∑ KC 1
12
+h2+h3
∑ Kt 2 ]Tercer Entre!so
D
1, alt4ra de col. Pr!+er n!)el
#, alt4ra de col. Seg4ndo n!)el
∑ KC 1=sumade las rigidecesde las col .1° nivel
∑ Kt 1=sumadelasrigidecesdelasvigas1 °nivel
E, +@d4lo de elast!c!dad DC
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E J E M P L O P R A C T I C O A N T I S I S M I C A P á g i n a | '
R3= 48 E
h3[ 4h3
∑ KC 3+
h2+h3
∑ Kt 2+
h3+h4
∑ Kt 3 ]
C4arto Entre!so
R4= 48 E
h4 [ 4 h4
∑ KC 4+h3+h4
∑ Kt 3+h4+h5
∑ Kt 4 ]
>4!nto Entre!so
R5= 48 E
h5[ 4 h5
∑ KC 5+2h 4+h5
∑ Kt 4+h5+h6
∑ Kt 5 ]
8.2
.
0'.#
#.'
0'.#
533.33533.33 533.33
0'.#
711.11
∑ Kt 1=3428.58
Kc1=2133.32
1
533.33
711.11
0'.#
711.11 711.11
711.11
∑ Kt 2=3428.58
Kc2=2844.44
1
711.11
0'.#
711.11 711.11
'.#
0'.#
711.11
∑ Kt 3=3428.58
Kc3=2844.44
1
711.11
0'.#
711.11 711.11
711.11
∑ Kt 4=3428.58
Kc 4=2844.44
1
711.11
0'.#
711.11 711.11
0'.# 1 0'.#0. ∑ Kt 5=3428.58
Kc5=2844.44
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E J E M P L O P R A C T I C O A N T I S I S M I C A P á g i n a |
P@rt!co A F A
Kv=
I
L (Vigas )❑
⇒
Iv=
30 x603
12 =540000
cm
4
Kc= I
h(col. )❑
⇒
Ic=40 x 40
3
12=213333.33cm
4
Pr!+er Entre!so
R1= 48 (217370.65)
400
[ 4(400)2133.32+
400+300
3428.58+2133.32
12 ]=27628.75
Seg4ndo Entre!so
R2= 48 (217370.65 )
300[ 4 (300)2844.44
+ 400+300
3428.58+2133.32
12
+300+3003428.58 ]
=43970.06 Kg/cm
Tercer Entre!so
R3= 48(217370.65)
300[ 4 (300)2844.44+300+3003428.58
+300+3003428.58 ]
=45058.22 Kg/cm
C4arto Entre!so
R4= 48(217370.65 )
300[ 4 (300)2844.44+300+3003428.58
+300+3003428.58 ]
=45058.22 Kg /cm
>4!nto Entre!so
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E J E M P L O P R A C T I C O A N T I S I S M I C A P á g i n a |
R5= 48(217370.65 )
300[ 4 (300)2844.44+2(300+300)3428.58
+ 300+03428.58 ]
=45058.22 Kg/cm
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E J E M P L O P R A C T I C O A N T I S I S M I C A P á g i n a | 8
NI3
EL=!
∑ Ri
1000
P@rt!co A G A P@rt!co H G H P@rt Ri
1000
=!A > Ri
1000
=!
A
> Ri
1000
'
%
#
1
%.
#0
%1.
#
#%.
00
1.
82
0.2
1
12.#'
12.#'
12.#'
18.22
11.'#
'.
'.
'.
'%.08
#8.%
0.
8
8.2
.
'.#
#.'
0.
8
1.
28
##.
28
#8.
8
#0.
#
'.
'.
'.
'%.08
#8.%
0.
8
8.2
.
'.#
#.'
0.
8
1.
28
##.
28
#8.
8
#0.
#
'.
'.
'.
'%.08
#8.%
Para allar FiA=
Ri
1000
∑ Ri
1000
xFi
V =Q1 A+Q1 +Q1C +Q1 !=29.52+29.52+29.52+29.52=118.08
?eter+!nac!@n de =4erzas Ss+!cas or
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?eter+!nac!@n de los ?eslaza+!ento or P!sos
,(-
!
∑ Ri
1000 Qi
∑ Ri /1000
Am.
Am.
( 34 R)
ati
a
Ditoin
1
2
3
4
5
'
%
%
%
%
11.#
18.22
12.#'
12.#'
12.#'
%.#2
8.'2
01.'2
12.#
2
112.
#
.%%
.%2
.1
.
.
.%%
.81
1.##
1.2#
#.'8
1.02
'.#
8.%#
1.0#
1'.2#
1.02
#.#2
%.
%.
%.0
.
.2
.1
.1#
.1%
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!istorsi"n#
# =$ r
h
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