ejercicio analisis 22

7/23/2019 EJERCICIO ANALISIS 22

http://slidepdf.com/reader/full/ejercicio-analisis-22 1/20

EJERCICIO 1

ELEMENTO 1

L 5.6568542495 M

E 2.00E+08 KN/M2

A 0.0125 M2

I 3.38542E-005 M4

ø 45 grad! 0."8539816 rad#a$%!

AE/L 4.42E+05

4.49E+02

1.2"E+03

4EI/L 4."9E+03

2EI/L 2.39E+030."0"106"812

0."0"106"812

&1 '1 ø1 &2 '2

2.21E+05 220"46.446 -89".694156 -2.21E+05 -220"46.446

220"46.44558 2.21E+05 89".694156 -220"46.446 -2.21E+05

-89".6941558 89".694156 4."9E+03 89".694156 -89".694156

-2.21E+05 -220"46.446 89".694156 221195.293 220"46.446

-220"46.4456 -2.21E+05 -89".694156 220"46.446 2.21E+05

-89".6941558 89".694156 2.39E+03 89".694156 -89".694156

EN(AM)LAN*O LA MATRI *EL (I(TEMA

&1 '1 ø1

,1 ,1 2.21E+05 2.21E+05 -8.98E+02

1 1 2.21E+05 2.21E+05 8.98E+02

M1 M1 -8.98E+02 8.98E+02 4."9E+03

,2 0 -2.21E+05 -2.21E+05 8.98E+02

2 0 -2.21E+05 -2.21E+05 -8.98E+02M2 0 -8.98E+02 8.98E+02 2.39E+03

,3 ,3

3 3

M3 M3

OR*ENAN*O EL (I(TEMA MATRICIAL

&2 '2 ø2

0 8.46E+05 2.21E+05 8.98E+02

0 2.21E+05 2.22E+05 1.64E+03

0 8.98E+02 1.64E+03 1.16E+04,1 -2.21E+05 -2.21E+05 -8.98E+02

1 2 21E+05 2 21E+05 8 98E+02

12EI/L3

6EI/L2

(EN ø

CO( ø



M1 8.98E+02 -8.98E+02 2.39E+03

,3 -6.25E+05 0.00E+00 0.00E+00

3 0.00E+00 -1.2"E+03 -2.54E+03

M3 0.00E+00 2.54E+03 3.39E+03

RE(OLIEN*O EL (I(TEMA ENCONTRAMO( LA( *EORMACIONE(

INER(A *E E(TA MATRI

&2 8.46E+05 2.21E+05 8.98E+02

'2 2.21E+05 2.22E+05 1.64E+03

ø2 8.98E+02 1.64E+03 1.16E+04

CALCLO *E REACCIONE(

,3 -2.21E+05 -2.21E+05 -8.98E+02

3 -2.21E+05 -2.21E+05 8.98E+02

M3 8.98E+02 -8.98E+02 2.39E+03

0 -6.25E+05 0.00E+00 0.00E+00

0 0.00E+00 -1.2"E+03 -2.54E+03

&2 0.00E+00 2.54E+03 3.39E+03



ELEMENTO 2

L 4 M

E 2.00E+08 KN/M2

A 0.0125 M2

I 3.38541"E-005 M4

ø 0 grad! 0

AE/L 6.25E+05

1.2"E+03

2.54E+03

4EI/L 6.""E+03

2EI/L 3.39E+03

0

1

ø2 &2 '2 ø2

-89".694156 &1 6.25E+05 0 0

89".694156 '1 0 1.2"E+03 2539.0625

2.39E+03 ø1 0 2539.0625 6.""E+03

89".694156 &2 -6.25E+05 0 0

-89".694156 '2 0 -1.2"E+03 -2539.0625

4."9E+03 ø2 0 2539.0625 3.39E+03

&2 '2 ø2 &3 '3 ø3

-2.21E+05 -2.21E+05 -8.98E+02

-2.21E+05 -2.21E+05 8.98E+02

8.98E+02 -8.98E+02 2.39E+03

8.46E+05 2.21E+05 8.98E+02 -6.25E+05 0.00E+00 0.00E+00

2.21E+05 2.22E+05 1.64E+03 0.00E+00 -1.2"E+03 2.54E+038.98E+02 1.64E+03 1.16E+04 0.00E+00 -2.54E+03 3.39E+03

-6.25E+05 0.00E+00 0.00E+00 6.25E+05 0.00E+00 0.00E+00

0.00E+00 -1.2"E+03 -2.54E+03 0.00E+00 1.2"E+03 -2.54E+03

0.00E+00 2.54E+03 3.39E+03 0.00E+00 -2.54E+03 6.""E+03

&2 &2 ,2 -3.53553391

'2 '2 2 13.5355339

ø2 ø2 M2 -0.40440115&1 0 ,1 -3.53553391

'1 0 + 1 3 53553391

12EI/L3

6EI/L2

(EN ø

CO( ø



ø1 0 M1 ".0"106"81

&3 0 ,3 0

'3 0 3 10

ø3 0 M3 -6.6666666"

3.5355339059 2."10610E-005

-13.53553391 -8.80"509E-005

0.4044011452 4.538913E-005

2."1061E-005 -3.5355339059 9.8"0

-8.80"51E-005 + 3.5355339059 1".0"4

4.53891E-005 ".0"106"8119 ".283

0 -16.941

10 9.99"

-6.666666666" -6."3"



rad#a$%!

&3 '3 ø3

-6.25E+05 0 0 &2

0 -1.2"E+03 2539.0625'2

0 -2539.0625 3.39E+03ø2

625000 0 0 &3

0 1.2"E+03 -2539.0625'3

0 -2539.0625 6.""E+03ø3

&1 0 ,1 -3.53553391

'1 0 1 3.53553391

ø1 0 M1 ".0"106"81

&2 &2 ,2 -3.53553391

'2 '2 + 2 13.5355339ø2 ø2 M2 -0.40440115

&3 0 ,3 0

'3 0 3 10

ø3 0 M3 -6.6666666"



EJERCICIO 1

ELEMENTO 1 - IA

L 6 M

E 2.50E+0" KN/M2A 0.15 M2

I 0.003125 M4

ø 0 grad! 0 rad#a$%!

AE/L 6.25E+05

4.34E+03

1.30E+04

4EI/L 5.21E+04

2EI/L 2.60E+04

01

&1 '1 ø1 &2 '2

6.25E+05 0 0 -6.25E+05 0

0 4.34E+03 13020.8333 0 -4.34E+03

0 13020.8333 5.21E+04 0 -13020.8333

-6.25E+05 0 0 625000 0

0 -4.34E+03 -13020.8333 0 4.34E+03

0 13020.8333 2.60E+04 0 -13020.8333

EN(AM)LAN*O LA MATRI *EL (I(TEMA

&1 '1 ø1

,1 20 6.49E+05 2.41E-10 3.56E+04

1 0 2.41E-10 1.34E+06 1.30E+04

M1 0 3.56E+04 1.30E+04 1.23E+05

,2 0 -6.25E+05 0.00E+00 0.00E+00

2 0 0.00E+00 -4.34E+03 -1.30E+04

M2 0 0.00E+00 1.30E+04 2.60E+04,3 0

3 -20

M3 -20

,4 ,4 -2.3"E+04 -2.41E-10 -3.56E+04

4 4 -2.41E-10 -1.33E+06 6.53E-12

M4 M4 3.56E+04 -6.53E-12 3.56E+04

,5 ,5

5 5

12EI/L3

6EI/L2

(EN øCO( ø



M5 M5

,6 ,6

6 6

M6 M6

RE(OLIEN*O EL (I(TEMA ENCONTRAMO( LA( *EORMACIONE(

&1 6.49E+05 2.41E-10 3.56E+04

'1 2.41E-10 1.34E+06 1.30E+04

ø1 3.56E+04 1.30E+04 1.23E+05

&2 -6.25E+05 0.00E+00 0.00E+00

'2 0.00E+00 -4.34E+03 -1.30E+04

ø2 0.00E+00 1.30E+04 2.60E+04&3 0.00E+00 0.00E+00 0.00E+00

'3 0.00E+00 0.00E+00 0.00E+00

ø3 0.00E+00 0.00E+00 0.00E+00

CALCLO *E REACCIONE(

,4 -2.3"E+04 -2.41E-10 -3.56E+04

4 -2.41E-10 -1.33E+06 6.53E-12

M4 3.56E+04 -6.53E-12 3.56E+04

,5 0.00E+00 0.00E+00 0.00E+00

5 0.00E+00 0.00E+00 0.00E+00

M5 0.00E+00 0.00E+00 0.00E+00

,6 0.00E+00 0.00E+00 0.00E+00

6 0.00E+00 0.00E+00 0.00E+00

M6 0.00E+00 0.00E+00 0.00E+00



ELEMENTO 2 - IA

L 6 M

E 2.50E+0" KN/M2A 0.15 M2

I 0.003125 M4

ø 0 grad! 0

AE/L 6.25E+05

4.34E+03

1.30E+04

4EI/L 5.21E+04

2EI/L 2.60E+04

01

ø2 &2 '2 ø2

0 &1 6.25E+05 0 0

13020.8333 '1 0 4.34E+03 13020.8333

2.60E+04ø1 0 13020.8333 5.21E+04

0 &2 -6.25E+05 0 0

-13020.8333 '2 0 -4.34E+03 -13020.8333

5.21E+04ø2 0 13020.8333 2.60E+04

&2 '2 ø2 &3 '3 ø3

-6.25E+05 0.00E+00 0.00E+00

0.00E+00 -4.34E+03 1.30E+04

0.00E+00 -1.30E+04 2.60E+04

1.2"E+06 2.41E-10 3.56E+04 -6.25E+05 0.00E+00 0.00E+00

2.41E-10 1.34E+06 -6.53E-12 0.00E+00 -4.34E+03 1.30E+04

3.56E+04 -6.53E-12 1."5E+05 0.00E+00 -1.30E+04 2.60E+04-6.25E+05 0.00E+00 0.00E+00 6.49E+05 2.41E-10 3.56E+04

0.00E+00 -4.34E+03 -1.30E+04 2.41E-10 1.34E+06 -1.30E+04

0.00E+00 1.30E+04 2.60E+04 3.56E+04 -1.30E+04 1.23E+05

-2.3"E+04 -2.41E-10 -3.56E+04

-2.41E-10 -1.33E+06 6.53E-12

12EI/L3

6EI/L2

(EN øCO( ø



3.56E+04 -6.53E-12 3.56E+04

-2.3"E+04 -2.41E-10 -3.56E+04

-2.41E-10 -1.33E+06 6.53E-12

3.56E+04 -6.53E-12 3.56E+04

INER(A *E E(TA MATRI

-6.25E+05 0.00E+00 0.00E+00 0.00E+00 0.00E+00 0.00E+00

0.00E+00 -4.34E+03 1.30E+04 0.00E+00 0.00E+00 0.00E+00

0.00E+00 -1.30E+04 2.60E+04 0.00E+00 0.00E+00 0.00E+00

1.2"E+06 2.41E-10 3.56E+04 -6.25E+05 0.00E+00 0.00E+00

2.41E-10 1.34E+06 -6.53E-12 0.00E+00 -4.34E+03 1.30E+04

3.56E+04 -6.53E-12 1."5E+05 0.00E+00 -1.30E+04 2.60E+04-6.25E+05 0.00E+00 0.00E+00 6.49E+05 2.41E-10 3.56E+04

0.00E+00 -4.34E+03 -1.30E+04 2.41E-10 1.34E+06 -1.30E+04

0.00E+00 1.30E+04 2.60E+04 3.56E+04 -1.30E+04 1.23E+05

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

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

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

-2.3"E+04 -2.41E-10 -3.56E+04 0.00E+00 0.00E+00 0.00E+00

-2.41E-10 -1.33E+06 6.53E-12 0.00E+00 0.00E+00 0.00E+00

3.56E+04 -6.53E-12 3.56E+04 0.00E+00 0.00E+00 0.00E+00

0.00E+00 0.00E+00 0.00E+00 -2.3"E+04 -2.41E-10 -3.56E+04

0.00E+00 0.00E+00 0.00E+00 -2.41E-10 -1.33E+06 6.53E-12

0.00E+00 0.00E+00 0.00E+00 3.56E+04 -6.53E-12 3.56E+04



ELEMENTO 3 - COLMNA

L 3

E 2.50E+0"A 0.16

I 0.00213333

rad#a$%! ø 2"0

AE/L 1.33E+06

2.3"E+04

3.56E+04

4EI/L ".11E+04

2EI/L 3.56E+04

-1-1.838E-016

&3 '3 ø3 &1

-6.25E+05 0 0 &2 2.3"E+04

0 -4.34E+03 13020.8333 '2 2.406"E-010

0 -13020.8333 2.60E+04ø2 35555.5556

625000 0 0 &3 -2.3"E+04

0 4.34E+03 -13020.8333 '3 -2.40"E-010

0 -13020.8333 5.21E+04ø3 35555.5556

&4 '4 ø4 &5 '5 ø5

-2.3"E+04 -2.41E-10 3.56E+04

-2.41E-10 -1.33E+06 -6.53E-12

-3.56E+04 6.53E-12 3.56E+04

-2.3"E+04 -2.41E-10 3.56E+04

-2.41E-10 -1.33E+06 -6.53E-12

-3.56E+04 6.53E-12 3.56E+04

2.3"E+04 2.41E-10 -3.56E+04

2.41E-10 1.33E+06 6.53E-12

-3.56E+04 6.53E-12 ".11E+04

2.3"E+04 2.41E-10 -3.56E+04

2.41E-10 1.33E+06 6.53E-12

12EI/L3

6EI/L2

(EN øCO( ø



-3.56E+04 6.53E-12 ".11E+04

20 ALE

-30 ALE

-30 ALE

0 ALE

-60 ALE

0 ALE0 ALE

-50 ALE

10 ALE

0.00055612 0 ALE

ALE 0 ALE

ALE 0 ALE

ALE 0 ALE

ALE + 0 ALE

ALE 0 ALE

ALE 0 ALE

ALE 0 ALE

ALE 0 ALE



M

KN/M2M2

M4

grad! 4."1238898 rad#a$%!

'1 ø1 &4 '4 ø4

2.406"E-010 35555.5556 -2.3"E+04 -2.40"E-010 35555.5556 &1

1.33E+06 -6.534E-012 -2.40"E-010 -1.33E+06 -6.534E-012 '1

-6.534E-012 ".11E+04 -35555.5556 6.5341E-012 3.56E+04ø1

-2.40"E-010 -35555.5556 23"03."03" 2.406"E-010 -35555.5556&4

-1.33E+06 6.5341E-012 2.406"E-010 1.33E+06 6.5341E-012 '4

-6.534E-012 3.56E+04 -35555.5556 6.5341E-012 ".11E+04ø4

&6 '6 ø6

&1 &1

'1 '1

ø1 ø1

&2 &2

'2 '2

ø2 ø2-2.3"E+04 -2.41E-10 3.56E+04 &3 &3

-2.41E-10 -1.33E+06 -6.53E-12 '3 '3

-3.56E+04 6.53E-12 3.56E+04 ø3 ø3 +

&4 0

'4 0

ø4 0

&5 0

'5 0



ø5 0

2.3"E+04 2.41E-10 -3.56E+04 &6 0

2.41E-10 1.33E+06 6.53E-12 '6 0

-3.56E+04 6.53E-12 ".11E+04 ø6 0



ELEMENTO 4 - COLMNA

L 3 M

E 2.50E+0" KN/M2A 0.16 M2

I 0.00213333 M4

ø 2"0 grad! 4."1238898 rad#a$%!

AE/L 1.33E+06

2.3"E+04

3.56E+04

4EI/L ".11E+04

2EI/L 3.56E+04

-1-1.838E-016

&2 '2 ø2 &5 '5

2.3"E+04 2.406"E-010 35555.5556 -2.3"E+04 -2.40"E-010

2.406"E-010 1.33E+06 -6.534E-012 -2.40"E-010 -1.33E+06

35555.5556 -6.534E-012 ".11E+04 -35555.5556 6.5341E-012

-2.3"E+04 -2.40"E-010 -35555.5556 23"03."03" 2.406"E-010

-2.40"E-010 -1.33E+06 6.5341E-012 2.406"E-010 1.33E+06

35555.5556 -6.534E-012 3.56E+04 -35555.5556 6.5341E-012

,1 0

1 30

M1 30

,2 0

2 60

M2 0,3 0

3 30

M3 -30

,4 0

4 0

M4 0

,5 0

5 0

12EI/L3

6EI/L2

(EN øCO( ø



M5 0

,6 0

6 0

M6 0



ELEMENTO 5 - COLMNA

L 3 M

E 2.50E+0" KN/M2A 0.16 M2

I 0.00213333 M4

ø 2"0 grad! 4."1238898

AE/L 1.33E+06

2.3"E+04

3.56E+04

4EI/L ".11E+04

2EI/L 3.56E+04

-1-1.838E-016

ø5 &3 '3 ø3

35555.5556 &2 2.3"E+04 2.406"E-010 35555.5556

-6.534E-012 '2 2.406"E-010 1.33E+06 -6.534E-012

3.56E+04ø2 35555.5556 -6.534E-012 ".11E+04

-35555.5556 &5 -2.3"E+04 -2.40"E-010 -35555.5556

6.5341E-012 '5 -2.40"E-010 -1.33E+06 6.5341E-012

".11E+04ø5 35555.5556 -6.534E-012 3.56E+04

12EI/L3

6EI/L2

(EN øCO( ø



rad#a$%!

&6 '6 ø6

-2.3"E+04 -2.40"E-010 35555.5556 &3

-2.40"E-010 -1.33E+06 -6.534E-012'3

-35555.5556 6.5341E-012 3.56E+04ø3

23"03."03" 2.406"E-010 -35555.5556 &6

2.406"E-010 1.33E+06 6.5341E-012'6

-35555.5556 6.5341E-012 ".11E+04ø6

ejercicio analisis 22

Documents