Plantilla Estructuras II
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Transcript of Plantilla Estructuras II
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1) ESQUEMA ESTRUCTURAL
2) DATOS INICIALES
Ec = 200000.00
Gc = 0.44 Ec
BARRA 1 BARRA 2 BARRA 3
Longitud (cm) 600.00 600.00 750.00a (cm) 25.00 25.00 25.00
b (cm) 55.00 69.30 55.00
1375.00 1732.50 1375.00
Ec 200000.00 200000.00 200000.00
Gc 000.00 000.00 000.00
346614.5 693359.49 346614.5
!acto" #o"ma (#) 1.20 1.20 1.20
$ 0.02 0.04 0.01
%g&cm2
'"a (cm2)
n"cia (cm4)
$ = 1 /2 ^2 )(
6.00
6.00 4.50
A B
*+
1,&m
1
2
.25
.55
1
.25
.69
2
.25
.55
3
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3) DETERMINACIÓN DE EJES GLOBALES
4) RELACIÓN ENTRE E.G Y E.L
5) ANÁLISIS EN COORDENADAS LOCALES
5.1) Matriz d ri!idz " #$$rd"ada% &$#a&% '(
'( * E6 *
A B
*+
1
2
-
.
-
.
1
90°
2
-0/
3
127°
1
2(
)1(
60
1(
6
)1(
120
00
1
4(
)1(
60
1(
6
)1(
120
00
2
23
2
23
φ φ
φ
φ φ
φ
+
−
+
+
−
+
−
−
+
+
+
++
L
I
L
I
L
I
L
I
L
A
L
I
L
I
L
I
L
I
L
A
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.1) Matriz d Ri!idz '(
'A * 'a *
.1.1) BARRA 1
90 S" 2 *
1.57 C$% 2 *
(1) (2) (3)
0.00 1.00 0.00
-1.00 0.00 0.000.00 0.00 1.00
0.00 0.00 0.00
0.00 0.00 0.00
0.00 0.00 0.00
(1) (2) (3)
0.00 -1.00 0.00
1.00 0.00 0.00
0.00 0.00 1.000.00 0.00 0.00
0.00 0.00 0.00
0.00 0.00 0.00
(1) (2) (3)
0.00 -0.02 -5.65
2.29 0.00 0.00
0.00 5.65 2271.94
0.00 0.02 5.65
-2.29 0.00 0.00
0.00 5.65 1116.56
(1) (2) (3)
0.02 0.00 -5.65
0.00 2.29 0.00
-5.65 0.00 2271.94
-0.02 0.00 5.650.00 -2.29 0.00
-5.65 0.00 1116.56
'( * 'AT''A
2$ *
2Rad *
'A1 *
'AT1 *
'AT1' 1 *
' 1 * 'AT1' 1'A1 *
][0
0][
a
a
100
0
0
C S
S C
−
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.1.+) BARRA +0 S" 2 *
0.00 C$% 2 *
(4) (5) (6)
1.00 0.00 0.00
0.00 1.00 0.00
0.00 0.00 1.00
0.00 0.00 0.00
0.00 0.00 0.00
0.00 0.00 0.00
(4) (5) (6)1.00 0.00 0.00
0.00 1.00 0.00
0.00 0.00 1.00
0.00 0.00 0.00
0.00 0.00 0.00
0.00 0.00 0.00
(4) (5) (6)
2.89 0.00 0.000.00 0.04 11.15
0.00 11.15 4500.69
-2.89 0.00 0.00
0.00 -0.04 -11.15
0.00 11.15 2189.50
(4) (5) (6)
2.89 0.00 0.00
0.00 0.04 11.15
0.00 11.15 4500.69
-2.89 0.00 0.00
0.00 -0.04 -11.15
0.00 11.15 2189.50
.1.3) BARRA 3307 S" 2 *
5.36 C$% 2 *
(7) (8) (9)
2$ *
2Rad *
'A+ *
'AT+ *
'AT+' + *
' + * 'AT+' +'A+ *
2$ *
2Rad
*
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0.60 -0.80 0.00
0.80 0.60 0.00
0.00 0.00 1.00
0.00 0.00 0.00
0.00 0.00 0.00
0.00 0.00 0.00
(7) (8) (9)
0.60 0.80 0.00
-0.80 0.60 0.00
0.00 0.00 1.00
0.00 0.00 0.00
0.00 0.00 0.00
0.00 0.00 0.00
(7) (8) (9)
1.10 0.01 2.92
-1.47 0.01 2.19
0.00 3.64 1828.57
-1.10 -0.01 -2.92
1.47 -0.01 -2.19
0.00 3.64 904.26
(7) (8) (9)
0.67 -0.88 2.92
-0.88 1.18 2.19
2.92 2.19 1828.57
-0.67 0.88 -2.92
0.88 -1.18 -2.19
2.92 2.19 904.26
MATRI ENSAMBLADA
(1) (2) (3) (4)
0.02 0.00 -5.65 -0.02
0.00 2.29 0.00 0.00
-5.65 0.00 2271.94 5.65
-0.02 0.00 5.65 2.91
0.00 -2.29 0.00 0.00
-5.65 0.00 1116.56 5.65
0.00 0.00 0.00 -2.89
0.00 0.00 0.00 0.00
0.00 0.00 0.00 0.00
0.00 0.00 0.00 0.00
'A3 *
'AT3 *
'AT3' 3 *
' 3 * 'AT3' 3'A3 *
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0.00 0.00 0.00 0.00
0.00 0.00 0.00 0.00
.+) 6#t$r d7$r8a#i0" t$ta&
9:; *
.3) Matriz "%a8
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.5) 6#t$r d ,-rza% d ,i/a#i0" E"%a8) DETERMINACIÓN DE DE,ORMACIONES
>.1) ,0r8-&a%
>.+) I"?r%a d &a Matriz E"%a8
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>.3) Di7r"#ia d 6#t$r% ,-rza
0.0000 -52533.0603
-3000.0000 -1712.6079
-300000.00 -73.7603
0.00 -53019.8111-3000.00 -41471.8001
300000.00 24.1624
0.00 122.1573
) DETERMINACIÓN DE ELEMENTOS MECÁNICOS DE CADA BAR
.1) 6#t$r D7$r8a#i0" T$ta&
0.00 (1)
0.00 (2)
0.00 (3)
-52533.0603 (4)
-1712.6079 (5)
-73.7603 (6)
-53019.8111 (7)
-41471.8001 (8)
24.1624 (9)
0.00 (10)
0.00 (11)
122.1573 (12)
.+) 6#t$r D7$r8a#i0" ara #ada Barra " C$$rd"ada% G&$<
BARRA 1
0.00 (1)
0.00 (2)
0.00 (3)
-52533.0603 (4)
-1712.6079 (5)
-73.7603 (6)
.3) 6#t$r D7$r8a#i0" ara #ada Barra " C$$rd"ada% L$#a
BARRA 1
0.00 (1)
0.00 (2)
|¯ _1 )|= 1 ^6 ∗( / |¯ _2 )|= 1 ^6 ∗( /
= |∗|¯ )|_ |_ (_
{|¯ )|−| |}=(_ ¯^ | |=¯
| |=¯
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0.00 (3)
-1712.61 (4)
52533.06 (5)
-73.76 (6)
.4) E&8"t$% 8#"i#$% d #ada
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0
*
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*
3
-
27°
)1
4(
)1(
60)
)1(
6
)1(
120
)
00
)1
2(
)1(
60)
)1(
6
)1(
120
)
00
2
23
2
23
φ
φ
φ
φ φ
φ
φ
φ
φ φ
+
+
+
−
+
−
+
+
−
+
−
++
−
−
L
I
L
I
L
I
L
I
L
A
L
I
L
I
L
I
L
I
L
A
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(3) (4) (5) (6)
0.0 -2.29167 0.0 0.0 (1)
5.64749 0.0 -0.01882 5.64749 (2)
2271.93741 0.0 -5.64749 1116.55546 (3)
0.0 2.29167 0.0 0.0 (4)
-5.64749 0.0 0.01882 -5.64749 (5)
1116.55546 0.0 -5.64749 2271.93741 (6)
(6) (7) (8) (9)
0.0 -2.88750 0.0 0.0 (4)
11.15032 0.0 -0.03717 11.15032 (5)
4500.69372 0.0 -11.15032 2189.49541 (6)
0.0 2.88750 0.0 0.0 (7)
-11.15032 0.0 0.03717 -11.15032 (8)
2189.49541 0.0 -11.15032 4500.69372 (9)
(9) (10) (11) (12)
0.0 -1.83333 0.0 0.0 (7)
3.64378 0.0 -0.00972 3.64378 (8)1828.57032 0.0 -3.64378 904.26476 (9)
0.0 1.83333 0.0 0.0 (10)
-3.64378 0.0 0.00972 -3.64378 (11)
904.26476 0.0 -3.64378 1828.57032 (12)
BARRA 3
0.00
0.00
0.00
0.00
0.00
0.00
',$3 *
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1.00
0.00
(4) (5) (6)
0.00 0.00 0.00 (1)
0.00 0.00 0.00 (2)0.00 0.00 0.00 (3)
0.00 1.00 0.00 (4)
-1.00 0.00 0.00 (5)
0.00 0.00 1.00 (6)
(4) (5) (6)
0.00 0.00 0.00 (1)
0.00 0.00 0.00 (2)
0.00 0.00 0.00 (3)0.00 -1.00 0.00 (4)
1.00 0.00 0.00 (5)
0.00 0.00 1.00 (6)
(4) (5) (6)
0.00 0.02 -5.65 (1)
-2.29 0.00 0.00 (2)
0.00 -5.65 1116.56 (3)
0.00 -0.02 5.65 (4)
2.29 0.00 0.00 (5)
0.00 -5.65 2271.94 (6)
(4) (5) (6)
-0.02 0.00 -5.65 (1)
0.00 -2.29 0.00 (2)
5.65 0.00 1116.56 (3)
0.02 0.00 5.65 (4)0.00 2.29 0.00 (5)
5.65 0.00 2271.94 (6)
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0.00
1.00
(7) (8) (9)
0.00 0.00 0.00 (4)
0.00 0.00 0.00 (5)
0.00 0.00 0.00 (6)
1.00 0.00 0.00 (7)
0.00 1.00 0.00 (8)
0.00 0.00 1.00 (9)
(7) (8) (9)0.00 0.00 0.00 (4)
0.00 0.00 0.00 (5)
0.00 0.00 0.00 (6)
1.00 0.00 0.00 (7)
0.00 1.00 0.00 (8)
0.00 0.00 1.00 (9)
(7) (8) (9)
-2.89 0.00 0.00 (4)0.00 -0.04 11.15 (5)
0.00 -11.15 2189.50 (6)
2.89 0.00 0.00 (7)
0.00 0.04 -11.15 (8)
0.00 -11.15 4500.69 (9)
(7) (8) (9)
-2.89 0.00 0.00 (4)
0.00 -0.04 11.15 (5)
0.00 -11.15 2189.50 (6)
2.89 0.00 0.00 (7)
0.00 0.04 -11.15 (8)
0.00 -11.15 4500.69 (9)
-0.80
0.60
(10) (11) (12)
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0.00 0.00 0.00 (7)
0.00 0.00 0.00 (8)
0.00 0.00 0.00 (9)
0.60 -0.80 0.00 (10)
0.80 0.60 0.00 (11)
0.00 0.00 1.00 (12)
(10) (11) (12)
0.00 0.00 0.00 (7)
0.00 0.00 0.00 (8)
0.00 0.00 0.00 (9)
0.60 0.80 0.00 (10)
-0.80 0.60 0.00 (11)
0.00 0.00 1.00 (12)
(10) (11) (12)
-1.10 -0.01 2.92 (7)
1.47 -0.01 2.19 (8)
0.00 -3.64 904.26 (9)
1.10 0.01 -2.92 (10)
-1.47 0.01 -2.19 (11)
0.00 -3.64 1828.57 (12)
(10) (11) (12)
-0.67 0.88 2.92 (7)
0.88 -1.18 2.19 (8)
-2.92 -2.19 904.26 (9)
0.67 -0.88 -2.92 (10)
-0.88 1.18 -2.19 (11)
-2.92 -2.19 1828.57 (12)
(5) (6) (7) (8) (9)
0.00 -5.65 0.00 0.00 0.00
-2.29 0.00 0.00 0.00 0.00
0.00 1116.56 0.00 0.00 0.00
0.00 5.65 -2.89 0.00 0.00
2.33 11.15 0.00 -0.04 11.15
11.15 6772.63 0.00 -11.15 2189.50
0.00 0.00 3.55 -0.88 2.92
-0.04 -11.15 -0.88 1.21 -8.96
11.15 2189.50 2.92 -8.96 6329.26
0.00 0.00 -0.67 0.88 -2.92
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0.00 0.00 0.88 -1.18 -2.19
0.00 0.00 2.92 2.19 904.26
(7) (8) (9) (12)
-2.8875 0.0000 0.0000 0.00 (4)0.0000 -0.0372 11.1503 0.00 (5)
0.0000 -11.1503 2189.4954 0.00 (6)
3.5537 -0.8753 2.9150 2.92 (7)
-0.8753 1.2140 -8.9640 2.19 (8)
2.9150 -8.9640 6329.2640 904.26 (9)
2.92 2.19 904.26 1828.57 (12)
BARRA + BARRA 3
0.00 (4) 0.00 (7)
3000.00 (5) 0.00 (8)
300000.00 (6) 0.00 (9)
0.00 (7) 0.00 (10)
3000.00 (8) 0.00 (11)
-300000.00 (9) 0.00 (12)
=
=,$3= *
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0.00 (4)
3000.00 (5)
300000.00 (6)
0.00 (7)
3000.00 (8)
-300000.00 (9)
0.00 (12)
0.00 (4)
0.00 (5)
0.00 (6)
0.00 (7)
0.00 (8)
0.00 (9)0.00 (12)
(7) (8) (9) (12)
27.03 19.84 0.03 -0.08 (4)
0.19 0.14 0.00 0.00 (5)
0.00 0.00 0.00 0.00 (6)
27.20 19.97 0.03 -0.08 (7)
19.97 15.51 0.02 -0.06 (8)
0.03 0.02 0.00 0.00 (9)
-0.08 -0.06 0.00 0.00 (12)
|}
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A
a&%
BARRA + BARRA 3
-52533.0603 (4) -53019.8111 (7)
-1712.6079 (5) -41471.8001 (8)
-73.7603 (6) 24.1624 (9)
-53019.8111 (7) 0.00 (10)
-41471.8001 (8) 0.00 (11)
24.1624 (9) 122.16 (12)
&%
BARRA + BARRA 3
-52533.06 (4) 1365.55 (7)
-1712.61 (5) -67298.93 (8)
|¯ )|(_
|¯ _3 )|= 1 ^6 ∗( /
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-73.76 (6) 24.16 (9)
-53019.81 (7) 0.00 (10)
-41471.80 (8) 0.00 (11)
24.16 (9) 122.16 (12)
BARRA + BARRA 3
1405.49 (4) 2503.51 (7)
3924.73 (5) -120.77 (8)
464258.57 (6) -90577.28 (9)
-1405.49 (7) -2503.51 (10)
2075.27 (8) 120.77 (11)
90577.28 (9) 0.00 (12)
=,83= *
_3 |= 1 ^6 ∗| /
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(10) (11) (12)
0.00 0.00 0.00 (1)
0.00 0.00 0.00 (2)
0.00 0.00 0.00 (3)
0.00 0.00 0.00 (4)
0.00 0.00 0.00 (5)
0.00 0.00 0.00 (6)
-0.67 0.88 2.92 (7)
0.88 -1.18 2.19 (8)
-2.92 -2.19 904.26 (9)
0.67 -0.88 -2.92 (10)
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-0.88 1.18 -2.19 (11)
-2.92 -2.19 1828.57 (12)
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