i dont know whats that

5
0 M 0 M M M 0 M M : Equilibrio de Ecuaciones 43 vol 34 32 23 21 , , , : incógnitas te inicialmen Resolver 4 3 2 3 2 43 12 10 V V : te tan cor por Equilibrio m 0 . 3 L m 0 . 5 L L m 0 . 10 L L m 0 . 5 L L : Luces vol 3 34 2 23 1 12 ) ( 23 pos M F ) ( 21 neg M F ) ( 12 pos M F ) ( 32 neg M F ) ( 35 pos M F w =3.0Tn/ml EI 1 2 3 4 EI EI D 2 D 3 10.0m 5.0m 2.5m 3.0m 10 Tn 2 3 4 m Tn M m Tn M F F 25 . 6 ; 25 . 6 21 12 32 23 m Tn M m Tn M F F 0 . 25 ; 0 . 25 34 M F 0 Tm M M vol F 5 . 13 35 4 Resolver pórtico con voladizos

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I dont mind, and I dont know whats that , but check it out if you want

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Page 1: I dont know whats that

0M

0MMM

0MM

:EquilibriodeEcuaciones

43

vol3432

2321

, , , :incógnitas teinicialmen Resolver 432

32

4312 10VV

:tetancorporEquilibriom0.3L

m0.5LL

m0.10LL

m0.5LL

:Luces

vol

334

223

112

)(23 posM F

)(21 negM F

)(12 posM F

)(32 negM F )(35 posM F

w =3.0Tn/ml

EI

1

2 3

4

EI

EI

D2 D3

10.0m

5.0m

2.5m

3.0m

10 Tn

2

3

4

mTnMmTnM FF 25.6;25.6 2112

3223 mTnMmTnM FF 0.25;0.25

34M F 0 TmMM volF 5.1335

4Resolver pórtico con voladizos

Page 2: I dont know whats that

Sustituyendo en las ecuaciones de equilibrio:

25.6*6.0**4.0)(**3**2

2121

212

112 EIM

LyyEI

LEIM F

25.6*6.0*2**4.0)(**3*2**2

2211

212

121 EIM

LyyEI

LEIM F

0.25*2**2.0*2**2322332

223 EIM

LEIM F

0.25*2**2.0*2**2322332

232 EIM

LEIM F

*6.0*2**4.0)(**3*2**2

43341

4343

334 EIM

LyyEI

LEIM F

*6.0*2**4.0)(**3*2**2

43431

4343

343 EIM

LyyEI

LEIM F

)1(75.18**24.0**2.0**2.1

0.25*2**2.025.6*6.0*2**4.0

32

322

EcuacionEIEIEI

EIEI

)2(50.11**24.0**4.0**2.1**2.0

5.13*6.0*2**4.00.25*2**2.0

432

4332

EcuacionEIEIEIEI

EIEI

)3(0.0**24.0**8.0**4.0

0.0*6.0*2**4.0

43

4343

EcuacionEIEIEI

EIM

4Resolver pórtico con voladizos

Page 3: I dont know whats that

0yy 0.5*EI*096.0*EI*24.0V

0.55

EI*125

*EI*6V

Vyy*L

EI*12*L

EI*6V

21212

322

12

F12213

12

0

121

12

*EI*096.0*EI*24.0*EI*24.0V

VyyL

EI*12*L

EI*6V

4343

F43213

3432

343

:tan baselaentecordeEquilibrio

0.0104312 VV

0.010**096.0**24.0**24.00.5**096.0**24.0 432 EIEIEIEIEI

5**192.0**24.0**24.0**24.0 432 EIEIEIEI

)4(0.5**192.0**24.0**24.0**24.0 432 EcuacionEIEIEIEI

4Resolver pórtico con voladizos

Page 4: I dont know whats that

Resolviendo el sistema de ecuaciones:

-18.75

11.5

0.0

5.0

2 3 4

1.2 0.2 0.0 -0.24

0.2 1.2 0.4 -0.24

0.0 0.4 0.8 -0.24

0.24 0.24 0.24 -0.192

* =

2

3

4

EI32.115

EI39.37

EI59.5

EI62.39

4

3

2

Sustituyendo variables en ecuaciones de momento:

mTnMEI

EIEIM

08.1825.632.115*6.062.39**4.025.6*6.0**4.0 12212

mTnMEI

EIEIM

27.1025.632.115*6.062.39*2**4.025.6*6.0*2**4.0 21221

mTnMEI

EIEIM

27.100.2559.562.39*2**2.00.25*2**2.0 233223

mTnMEI

EIEIM

69.300.2559.5*262.39**2.00.25*2**2.0 323232

mTnMEI

EIEIM

19.1732.115*6.039.3759.5*2**4.0*6.0*2**4.0 344334

mTnMEI

EIEIM

0.032.115*6.039.37*259.5**4.0*6.0*2**4.0 434343

4Resolver pórtico con voladizos

Page 5: I dont know whats that

Chequeo de momentos en los nudos:

Chequeo de cortantes en tramos:

4

10 Tn

w = 3.0 Tn/m

3

41

2

M12 = 18.08 Tn-m M43 = 0.0 Tn-m

M34 = 17.19 Tn-m

Mvol = 13.5 Tn-mM32 = -30.69 Tn-m

M21 = -10.27 Tn-m

M23 = 10.27 Tn-m

10 Tn

w = 3.0 Tn/m

3

41

2

V21 = 3.44 Tn

V12 = 6.56 Tn V43 = 3.44 Tn

V34 = 3.44 Tn

V34 = 12.96 Tn V34 = 17.04 Tn Vvol = 9.0 Tn

Resolver pórtico con voladizos