Plantilla Estructuras II

8/17/2019 Plantilla Estructuras II

1/30

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


2/30

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


3/30


4/30

.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

−


5/30

.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

*


6/30

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 *


7/30

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


8/30

.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


9/30

>.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 ∗( /

= |∗|¯ )|_ |_ (_

{|¯ )|−| |}=(_ ¯^ | |=¯

| |=¯


10/30

0.00 (3)

-1712.61 (4)

52533.06 (5)

-73.76 (6)

.4) E&8"t$% 8#"i#$% d #ada


11/30

0

*


12/30

*

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


13/30

(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 *


14/30

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)


15/30

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)


16/30

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


17/30

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= *


18/30

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)

|}


19/30

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 ∗( /


20/30

-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 ∗| /


21/30


22/30


23/30


24/30


25/30


26/30

(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)


27/30

-0.88 1.18 -2.19 (11)

-2.92 -2.19 1828.57 (12)


28/30


29/30


30/30

Documents

Plantilla Estructuras II