examen parcial-2.xlsx estructural.xlsx elkin

8/17/2019 Examen Parcial-2.Xlsx ESTRUCTURAL.xlsx Elkin

1/85

rad 0

Ɵ 0

A 0.0005 m

E 2.00E+10 Kg/m2

L 4.8 m

sen 0.00

cos 1.00

AE/L 2083333

k

c2 sc -c2

sc s2 -sc

AE/L -c2 -sc c2

-sc -s2 sc

2.08E+06 0.00E+00 -2.08E+06

0.00E+00 0.00E+00 0.00E+00

-2.08E+06 0.00E+00 2.08E+06

0.00E+00 0.00E+00 0.00E+00

k

2.08E+06 0.00E+00 -2.08E+06

0.00E+00 0.00E+00 0.00E+00

-2.08E+06 0.00E+00 4.17E+06

0.00E+00 0.00E+00 0.00E+00

0.00E+00 0.00E+00 -2.08E+06

0.00E+00 0.00E+00 0.00E+00

4.17E+06

-2.08E+06


2/85

S2 0

C2 1

SC 0

-sc 1.00 0.00 -1.00 0.00

-s2 0.00 0.00 0.00 0.00

sc -1.00 0.00 1.00 0.00

s2 0.00 0.00 0.00 0.00

0.00E+00

0.00E+00

0.00E+00

0.00E+00

k

0.00E+00 0.00E+00 0.00E+00 4.17E+06

0.00E+00 0.00E+00 0.00E+00 -2.08E+06

0.00E+00 -2.08E+06 0.00E+00

0.00E+00 0.00E+00 0.00E+00

0.00E+00 2.08E+06 0.00E+00

0.00E+00 0.00E+00 0.00E+00

-2.08E+06

2.08E+06


3/85

rad 0

Ɵ 0

A 0.0005 m

E 2.00E+10 Kg/m2

L 4.8 m

sen 0.00 S2

cos 1.00 C2

AE/L 2083333 SC

k

c2 sc -c2 -sc

sc s2 -sc -s2

AE/L -c2 -sc c2 sc

-sc -s2 sc s2

2.08E+06 0.00E+00

0.00E+00 0.00E+00

-2.08E+06 0.00E+00

0.00E+00 0.00E+00

k-1

-2.08E+06 4.80E-07

2.08E+06


4/85

0

1

0

1.00 0.00 -1.00 0.00

0.00 0.00 0.00 0.00

-1.00 0.00 1.00 0.00

0.00 0.00 0.00 0.00

-2.08E+06 0.00E+00

0.00E+00 0.00E+00

2.08E+06 0.00E+00

0.00E+00 0.00E+00


5/85

!"A# C%ando e& ang%&o 'a en e& sen()do an()*orar)o es

(

45

arra 1-2

rad 0.7853,816

Ɵ 45

A 0.0005 m

E 2.00E+08 Kg/m2

L 8.485 m

sen 0.71 S2 0.5

cos 0.71 C2 0.5 AE/L

AE/L 11786 SC 0.5

A" E E K - ACAL

1 1 2 2 3

1 5.8,E+03 5.8,E+03 -5.8,E+03 -5.8,E+03

1 5.8,E+03 5.8,E+03 -5.8,E+03 -5.8,E+03

2 -5.8,E+03 -5.8,E+03 5.8,E+03 5.8,E+03

2 -5.8,E+03 -5.8,E+03 5.8,E+03 5.8,E+033

3

4

4

A" E E - L!AL

1 1 2

'


6/85

- 1 2.26E+04 5.8,E+03 -5.8,E+03

- 1 5.8,E+03 5.8,E+03 -5.8,E+03

2 -5.8,E+03 -5.8,E+03 1.18E+04

2 -5.8,E+03 -5.8,E+03 -1.02E-12

- 3 0.00E+00 0.00E+00 -5.8,E+03

- 3 0.00E+00 0.00E+00 5.8,E+03

4 -1.67E+04 -2.04E-12 -6.25E-2, 4 -2.04E-12 -2.50E-28 1.02E-12

k-1

8.4,E-05

-4.33E-37

6.37E-37

-5.20E-21

EAS 9 ! C!!SC! 0.00E+00:1

; 0.00E+00


7/85

+

45

6

º 135º

200kg

12m

c2 sc -c2 -sc

sc s2 -sc -s2

-c2 -sc c2 sc

-sc -s2 sc s2

0.5 0.5 -0.5 -0.50.5 0.5 -0.5 -0.5

-0.5 -0.5 0.5 0.5

-0.5 -0.5 0.5 0.5

3 4 4

2 3 3 4 4

"2"

'


8/85

-5.8,E+03 0.00E+00 0.00E+00 -1.67E+04 -2.04E-12

-5.8,E+03 0.00E+00 0.00E+00 -2.04E-12 -2.50E-28

-1.02E-12 -5.8,E+03 5.8,E+03 -6.25E-2, 1.02E-12

2.85E+04 5.8,E+03 -5.8,E+03 1.02E-12 -1.67E+04

5.8,E+03 2.26E+04 -5.8,E+03 -1.67E+04 -2.04E-12

-5.8,E+03 -5.8,E+03 5.8,E+03 -2.04E-12 -2.50E-28

1.02E-12 -1.67E+04 -2.04E-12 3.33E+04 3.06E-12-1.67E+04 -2.04E-12 -2.50E-28 3.06E-12 1.67E+04

0.00E+00 6.37E-37 -5.20E-21

8.4,E-05 -1.04E-20 8.4,E-05

-1.04E-20 3.00E-05 -1.5,E-20

8.4,E-05 -1.5,E-20 1.45E-04

0.00E+00%1

0.00E+00'1

1.04E-18%2

-1.70E-02'2

0.00E+00%3

0.00E+00'3

3.18E-18%4

-2.,0E-02'4

> = K -1


9/85

A" E EAS

-

-

4: -

4< -200

AA 2-3

rad -0.7853,81634

Ɵ -45

A 0.0005 m

E 2.00E+08 Kg/m2

L 8.485 m

sen -0.71 S2 0.5

cos 0.71 C2 0.5 AE/L

AE/L 11786 SC -0.5

A" E E K - ACAL

1 1 2 2 3

1

1

2 5.8,E+03 -5.8,E+03 -5.8,E+03

2 -5.8,E+03 5.8,E+03 5.8,E+033 -5.8,E+03 5.8,E+03 5.8,E+03

3 5.8,E+03 -5.8,E+03 -5.8,E+03

4

4

k

1

1

2

2

3

3


10/85

1.18E+04 -1.02E-12 -6.25E-2, 1.02E-12

-1.02E-12 2.85E+04 1.02E-12 -1.67E+04

-6.25E-2, 1.02E-12 3.33E+04 3.06E-12

1.02E-12 -1.67E+04 3.06E-12 1.67E+04

k-1

8.4,E-05 0.00E+00 6.37E-37 -5.20E-21-4.33E-37 8.4,E-05 -1.04E-20 8.4,E-05

6.37E-37 -1.04E-20 3.00E-05 -1.5,E-20

-5.20E-21 8.4,E-05 -1.5,E-20 1.45E-04


11/85

A"CES E ESLAAE"!S

- 1

- 2

3

4

- 5

- 6

c2 sc -c2 -sc

sc s2 -sc -s2

-c2 -sc c2 sc

-sc -s2 sc s2

0.5 -0.5 -0.5 0.5-0.5 0.5 0.5 -0.5

-0.5 0.5 0.5 -0.5

0.5 -0.5 -0.5 0.5

3 4 4

5.8,E+03

-5.8,E+03-5.8,E+03

5.8,E+03

>X1

∆ Y1

>X2

∆ Y2

>X3

∆ Y3

>X3

∆ Y3


12/85


13/85


14/85


15/85

c2 sc -c2 -sc

sc s2 -sc -s2

-c2 -sc c2 sc

-sc -s2 sc s2

1.00 0.00 -1.00 0.000.00 0.00 0.00 0.00

-1.00 0.00 1.00 0.00

0.00 0.00 0.00 0.00

3 4 4

2.04E-12 -1.67E+04 -2.04E-12

2.50E-28 -2.04E-12 -2.50E-28

-2.04E-12 1.67E+04 2.04E-12

-2.50E-28 2.04E-12 2.50E-28


16/85


17/85

AA 4-1

rad -3.1415,26536

Ɵ -180

A 0.0005 m

E 2.00E+08 Kg/m2

L 6 m

sen 0.00 S2 0.00

cos -1.00 C2 1.00 AE/L

AE/L 16667 SC 0.00

A" E E K - ACAL

1 1 2 2 3

1 1.67E+04 2.04E-12

1 2.04E-12 2.50E-28

2

23

3

4 -1.67E+04 -2.04E-12

4 -2.04E-12 -2.50E-28


18/85


19/85

c2 sc -c2 -sc

sc s2 -sc -s2

-c2 -sc c2 sc

-sc -s2 sc s2

1.00 0.00 -1.00 0.000.00 0.00 0.00 0.00

-1.00 0.00 1.00 0.00

0.00 0.00 0.00 0.00

3 4 4

-1.67E+04 -2.04E-12

-2.04E-12 -2.50E-28

1.67E+04 2.04E-12

2.04E-12 2.50E-28


20/85


21/85

AA 2-4

rad -1.5707,633

Ɵ -,0

A 0.0005 m

E 2.00E+08 Kg/m2

L 6 m

sen -1.00 S2 1.00

cos 0.00 C2 0.00 AE/L

AE/L 16667 SC 0.00

A" E E K - ACAL

1 1 2 2 3

1

1

2 6.25E-2, -1.02E-12

2 -1.02E-12 1.67E+043

3

4 -6.25E-2, 1.02E-12

4 1.02E-12 -1.67E+04


22/85


23/85

c2 sc -c2 -sc

sc s2 -sc -s2

-c2 -sc c2 sc

-sc -s2 sc s2

0.00 0.00 0.00 0.000.00 1.00 0.00 -1.00

0.00 0.00 0.00 0.00

0.00 -1.00 0.00 1.00

3 4 4

-6.25E-2, 1.02E-12

1.02E-12 -1.67E+04

6.25E-2, -1.02E-12

-1.02E-12 1.67E+04


24/85


25/85

A" E EAS A"CES E ESLAE

:1 -


26/85

A" E E - L!AL

1 1 2

- 1 4.34E+06 1.68E+06 -8.40E+05

- 1 1.68E+06 3.36E+06 -1.68E+06 2 -8.40E+05 -1.68E+06 1.68E+06

2 -1.68E+06 -3.36E+06 -2.,7E-10

3 0.00E+00 0.00E+00 -8.40E+05

- 3 0.00E+00 0.00E+00 1.68E+06

4 -3.50E+06 -4.2,E-10 -1.82E-26

- 4 -4.2,E-10 -5.25E-26 2.,7E-10

K-1

1 1 2

1

1

2 6.8,E-07

2 -2.74E-08

3 1.8,E-07

3

4 1.33E-07

4

0.00E+00:1

0.00E+00


27/85

1

1

2

2

3

34

4

= K >


28/85

"!

sc -c2 -sc

s2 -sc -s2

-sc c2 sc

-s2 sc s2

0.20 0.40 -0.20 -0.400.40 0.80 -0.40 -0.80

-0.20 -0.40 0.20 0.40

-0.40 -0.80 0.40 0.80

3 4 4

%1

'1

%2'2

%3

'3

%4

'4

> = K -1


29/85

2 3 3 4 4

-1.68E+06 0.00E+00 0.00E+00 -3.50E+06 -4.2,E-10

-3.36E+06 0.00E+00 0.00E+00 -4.2,E-10 -5.25E-26-2.,7E-10 -8.40E+05 1.68E+06 -1.82E-26 2.,7E-10

1.16E+07 1.68E+06 -3.36E+06 2.,7E-10 -4.85E+06

1.68E+06 ,.24E+06 -1.68E+06 -8.40E+06 -1.03E-0,

-3.36E+06 -1.68E+06 3.36E+06 -1.03E-0, -1.26E-25

2.,7E-10 -8.40E+06 -1.03E-0, 1.1,E+07 1.16E-0,

-4.85E+06 -1.03E-0, -1.26E-25 1.16E-0, 4.85E+06

2 3 3 4 4

-2.74E-08 1.8,E-07 1.33E-07

,.44E-08 -5.4,E-08 -3.87E-08

-5.4,E-08 3.78E-07 2.67E-07

-3.87E-08 2.67E-07 2.72E-07

0.00E+00%1

0.00E+00'1

3.45E-03%2

-1.37E-04'2

,.45E-04%3

0.00E+00'3

6.67E-04%4

0.00E+00 '4

> = K -1


30/85

EA AAL

1

2

3

4

5


31/85

AA 2-3

rad -1.1070623445 c2 sc

Ɵ -63.43 sc s2

A 0.001 m2 -c2 -sc

E 2.10E+10 kg/m2 -sc -s2

L 5

sen -0.8, S2 0.80 0.20cos 0.45 C2 0.20 AE/L -0.40

AE/L 4200000 SC -0.40 -0.20

0.40

A" E E K - ACAL

1 1 2 2 3

1

1

2 8.40E+05 -1.68E+06 -8.40E+05 2 -1.68E+06 3.36E+06 1.68E+06

3 -8.40E+05 1.68E+06 8.40E+05

3 1.68E+06 -3.36E+06 -1.68E+06

4

4


32/85


33/85


34/85

AA 3-4

-c2 -sc rad

-sc -s2 Ɵ

c2 sc A

sc s2 E

L

-0.40 -0.20 0.40 sen0.80 0.40 -0.80 cos

0.40 0.20 -0.40 AE/L

-0.80 -0.40 0.80

3 4 4

%1 1

'1 1

1.68E+06 %2 2-3.36E+06 '2 2

-1.68E+06 %3 3

3.36E+06 '3 3

%4 4

'4 4

> = K -1

1=K&oca& ?


35/85

1

1

2

2

3

3

4 4


36/85


37/85

-3.1415,265 c2 sc -c2

-180 sc s2 -sc

0.001 m2 -c2 -sc c2

2.10E+10 Kg/m2 -sc -s2 sc

2.5

0.00 S2 0.00 1.00 0.00-1.00 C2 1.00 AE/L 0.00 0.00

8400000 SC 0.00 -1.00 0.00

0.00 0.00

A" E E K - ACAL

1 1 2 2 3 3

8.40E+06 1.03E-0,

1.03E-0, 1.26E-25

-8.40E+06 -1.03E-0,

-1.03E-0, -1.26E-25


38/85


39/85


40/85

AA 4-1

-sc rad -3.1415,265

-s2 Ɵ -180

sc A 0.001

s2 E 2.10E+10

L 6

-1.00 0.00 sen 0.000.00 0.00 cos -1.00

1.00 0.00 AE/L 3500000

0.00 0.00

A" E

4 4 1

%1 1 3.50E+06

'1 1 4.2,E-10

%2 2'2 2

-8.40E+06 -1.03E-0, %3 3

-1.03E-0, -1.26E-25 '3 3

8.40E+06 1.03E-0, %4 4 -3.50E+06

1.03E-0, 1.26E-25 '4 4 -4.2,E-10

> = K -1

1=K&oca& ?


41/85

1

1

2

2

3

3

4 4


42/85


43/85

c2 sc -c2 -sc

sc s2 -sc -s2

m2 -c2 -sc c2 sc

Kg/m2 -sc -s2 sc s2

S2 0.00 1.00 0.00 -1.00C2 1.00 AE/L 0.00 0.00 0.00

SC 0.00 -1.00 0.00 1.00

0.00 0.00 0.00

E K - ACAL

1 2 2 3 3 4

4.2,E-10 -3.50E+06

5.25E-26 -4.2,E-10

-4.2,E-10 3.50E+06

-5.25E-26 4.2,E-10


44/85

3 ..


45/85


46/85

AA 2-4

rad -1.5707,633

Ɵ -,0

A 0.001 m2

E 2.10E+10 Kg/m2

L 4.33

0.00 sen -1.00 S20.00 cos 0.00 C2

0.00 AE/L 484,885 SC

0.00

A" E E K - A

4 1 1

-4.2,E-10 %1 1

-5.25E-26 '1 1

%2 2'2 2

%3 3

'3 3

4.2,E-10 %4 4

5.25E-26 '4 4

> = K -1


47/85

..


48/85


49/85

c2 sc -c2 -sc

sc s2 -sc -s2

-c2 -sc c2 sc

-sc -s2 sc s2

1.00 0.00 0.00 0.00 0.000.00 AE/L 0.00 1.00 0.00 -1.00

0.00 0.00 0.00 0.00 0.00

0.00 -1.00 0.00 1.00

CAL

2 2 3 3 4 4

1.82E-26 -2.,7E-10 -1.82E-26 2.,7E-10-2.,7E-10 4.85E+06 2.,7E-10 -4.85E+06

-1.82E-26 2.,7E-10 1.82E-26 -2.,7E-10

2.,7E-10 -4.85E+06 -2.,7E-10 4.85E+06

1=K&oca& ?


50/85

1 0.00

1 0.00

2 0.00

2 0.00

3 0.00

3 0.00

4 0.00 4 0.00


51/85


52/85

%1

'1

%2'2

%3

'3

%4

'4

> = K -1


53/85

0


54/85


55/85

!"A# C%ando e& ang%&o 'a en e& sen()do an()*orar)o

(

45

AA 1-2

rad 0.7853,816 c2

@ 45 sc

A 0.0005 m2 -c2E 200000000 kg/m2 -sc

L 8.485

sen 0.71 s2 0.5

cos 0.71 c2 0.5

AE/L 11785.50 sc 0.5

E"!! E LA E K-ACAL

1 1 2 2

1 5.8,E+03 5.8,E+03 -5.8,E+03 -5.8,E+03

1 5.8,E+03 5.8,E+03 -5.8,E+03 -5.8,E+03

2 -5.8,E+03 -5.8,E+03 5.8,E+03 5.8,E+03

2 -5.8,E+03 -5.8,E+03 5.8,E+03 5.8,E+03

'


56/85

3

3

4

4

A"S E E L!AL

1 1 2 2

- 1 2.26E+04 5.8,E+03 -5.8,E+03 -5.8,E+03

- 1 5.8,E+03 5.8,E+03 -5.8,E+03 -5.8,E+03

2 -5.8,E+03 -5.8,E+03 1.18E+04 -1.02E-12

2 -5.8,E+03 -5.8,E+03 -1.02E-12 2.85E+04

- 3 0.00E+00 0.00E+00 -5.8,E+03 5.8,E+03

- 3 0.00E+00 0.00E+00 5.8,E+03 -5.8,E+03

4 -1.67E+04 -2.04E-12 -6.25E-2, 1.02E-12

4 -2.04E-12 -2.50E-28 1.02E-12 -1.67E+04

K-1

1 1 2 2

1

1

2 8.4,E-05 0.00E+00

2 -4.33E-37 8.4,E-05

3

3

4 6.37E-37 -1.04E-20

4 -5.20E-21 8.4,E-05


57/85

0.00E+00 :1 0.00E+00

0.00E+00


58/85

s +

45

6

º 135º

200kg

12m

sc -c2 -sc

s2 -sc -s2

-sc c2 sc-s2 sc s2

0.5 0.5 -0.5 -0.5

0.5 0.5 -0.5 -0.5

-0.5 -0.5 0.5 0.5

-0.5 -0.5 0.5 0.5

3 3 4 4

"2"

'


59/85

3 3 4 4

0.00E+00 0.00E+00 -1.67E+04 -2.04E-12

0.00E+00 0.00E+00 -2.04E-12 -2.50E-28

-5.8,E+03 5.8,E+03 -6.25E-2, 1.02E-12

5.8,E+03 -5.8,E+03 1.02E-12 -1.67E+04

2.26E+04 -5.8,E+03 -1.67E+04 -2.04E-12

-5.8,E+03 5.8,E+03 -2.04E-12 -2.50E-28

-1.67E+04 -2.04E-12 3.33E+04 3.06E-12

-2.04E-12 -2.50E-28 3.06E-12 1.67E+04

3 3 4 4

6.37E-37 -5.20E-21

-1.04E-20 8.4,E-05

3.00E-05 -1.5,E-20

-1.5,E-20 1.45E-04


60/85

%1

'1

%2

'2

%3'3

%4

'4


61/85

A"S E EAS A"CES E

:1


62/85

3 -5.8,E+03 5.8,E+03

3 5.8,E+03 -5.8,E+03

4

4

K

1.18E+04 -1.02E-12 -6.25E-2, 1.02E-12

-1.02E-12 2.85E+04 1.02E-12 -1.67E+04

-6.25E-2, 1.02E-12 3.33E+04 3.06E-12

1.02E-12 -1.67E+04 3.06E-12 1.67E+04

K-1

8.4,E-05 0.00E+00 6.37E-37 -5.20E-21

-4.33E-37 8.4,E-05 -1.04E-20 8.4,E-05

6.37E-37 -1.04E-20 3.00E-05 -1.5,E-20

-5.20E-21 8.4,E-05 -1.5,E-20 1.45E-04


63/85


64/85

ESLAAE"!S

-

-

-

-

-c2 -sc

-sc -s2

c2 scsc s2

-0.5 -0.5 0.5

0.5 0.5 -0.5

0.5 0.5 -0.5

-0.5 -0.5 0.5

3 3 4 4

-5.8,E+03 5.8,E+03

5.8,E+03 -5.8,E+03


65/85

5.8,E+03 -5.8,E+03

-5.8,E+03 5.8,E+03


66/85


67/85

AA 3-4

rad -3.1415,2654 c2 sc

@ -180 sc s2

A 0.0005 m2 -c2 -scE 200000000 kg/m2 -sc -s2

L 6

sen 0.00 s2 0.00 1.00

cos -1.00 c2 1.00 0.00

AE/L 16666.67 sc 0.00 -1.00

0.00

E"!! E LA E K-ACAL

1 1 2 2

1

1

2

2


68/85

3

3

4

4


69/85


70/85

-c2 -sc

-sc -s2

c2 scsc s2

0.00 -1.00 0.00

0.00 0.00 0.00

0.00 1.00 0.00

0.00 0.00 0.00

3 3 4 4


71/85

1.67E+04 2.04E-12 -1.67E+04 -2.04E-12

2.04E-12 2.50E-28 -2.04E-12 -2.50E-28

-1.67E+04 -2.04E-12 1.67E+04 2.04E-12

-2.04E-12 -2.50E-28 2.04E-12 2.50E-28


72/85


73/85

AA 4-1

rad -3.1415,265 c2

@ -180 sc

A 0.0005 m2 -c2E 200000000 kg/m2 -sc

L 6

sen 0.00 s2 0.00

cos -1.00 c2 1.00

AE/L 16667 sc 0.00

E"!! E LA E K-ACAL

1 1 2

1 1.67E+04 2.04E-12

1 2.04E-12 2.50E-28

2

2


74/85

3

3

4 -1.67E+04 -2.04E-12

4 -2.04E-12 -2.50E-28


75/85


76/85

sc -c2 -sc

s2 -sc -s2

-sc c2 sc-s2 sc s2

1.00 0.00 -1.00 0.00

0.00 0.00 0.00 0.00

-1.00 0.00 1.00 0.00

0.00 0.00 0.00 0.00

2 3 3 4 4

-1.67E+04 -2.04E-12

-2.04E-12 -2.50E-28


77/85

1.67E+04 2.04E-12

2.04E-12 2.50E-28


78/85


79/85

AA 2-4

rad -1.5707,633

@ -,0

A 0.0005 m2E 200000000 kg/m2

L 6

sen -1.00 s2 1.00

cos 0.00 c2 0.00

AE/L 16666.67 sc 0.00

E"!! E LA E K-ACAL

1 1

1

1

2

2


80/85

3

3

4

4


81/85


82/85

c2 sc -c2 -sc

sc s2 -sc -s2

-c2 -sc c2 sc-sc -s2 sc s2

0.00 0.00 0.00 0.00

0.00 1.00 0.00 -1.00

0.00 0.00 0.00 0.00

0.00 -1.00 0.00 1.00

2 2 3 3 4 4

6.25E-2, -1.02E-12 -6.25E-2, 1.02E-12

-1.02E-12 1.67E+04 1.02E-12 -1.67E+04


83/85

-6.25E-2, 1.02E-12 6.25E-2, -1.02E-12

1.02E-12 -1.67E+04 -1.02E-12 1.67E+04


84/85


85/85

AA 1-2

examen parcial-2.xlsx estructural.xlsx elkin

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