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COLUMN 50 x 50Wu = 1.7

1 2 3 4L 21 L 22 L 23

30 700 30 750 30 700 30

A 30

L 11 800

B 30

L 12 850

C30

L 13 800

D 30

75

70

2 25

1 45

30 45

Y A A*Y I d A*1 22.5 1350.0 30375.0 227812.5 20.32 57.5 1875.0 107812.5 97656.3 14.7

SUM 3225.00 138187.5 325468.75

Ycen 42.8

120

70

2 25

1 45

45 30 45

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Y A A*Y I d A*1 22.5 1350.0 30375.0 227812.5 24.12 57.5 3000.0 172500.0 156250.0 10.9

SUM 4350.00 202875 384062.5

Ycen 46.6

EJE TRAMO INERCIA DE VIGA !C"#$ IN

A 1-2; 2-3; 3-4 Iv1 = 1,286,951.31 I1xx =D 1-2; 2-3; 3-4 Iv1 = 1,286,951.31 I1xx =1 A-B; B-C ; C-D Iv1 = 1,286,951.31 I1 =

4 A-B; B-C ; C-D Iv1 = 1,286,951.31 I1 =

EJE TRAMO INERCIA DE VIGA !Cen$ INER

B 1-2; 2-3; 3-4 Iv2 = 1,524,579.74 I2xx =C 1-2; 2-3; 3-4 Iv2 = 1,524,579.74 I2xx =

2 A-B; B-C ; C-D Iv2 = 1,524,579.74 I2 =3 A-B; B-C ; C-D Iv2 = 1,524,579.74 I2 =

'A(O )' DON %E!T RIG+ 'A(O #-

I 2.38 1.42 2.71 1.62 I 2.03II 2.38 1.42 1.62 1.62 II 1./6

III 2.38 1.42 1.62 2.71 III 2.03

IV 1.42 1.42 2.71 1.62 IV 1./9V 1.42 1.42 1.62 1.62 V 1.52

VI 1.42 1.42 1.62 2.71 VI 1./9VII 1.42 2.38 2.71 1.62 VII 2.03VIII 1.42 2.38 1.62 1.62 VIII 1./6

I 1.42 2.38 1.62 2.71 I 2.03

1 2 3 4L 21 L 22 L 23

30 700 30 750 30 700 30

A 30 2.38 2.38 2.38

L 11 8002.

71

1 1

.62

2 1

.62

3 2

.71

B 30 1.42 1.42 1.42

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L 12 8502.

71

4 1

.62

5 1

.62

6 2

.71

C 30 1.42 1.42 1.42

L 13 8002.

71

7 1.62

8 1.62

9 2.71

D 30 2.38 2.38 2.38

VERI!ICACION DE %A& CONDICIONE& 'ARA )&AR E% METODO DIRECTO1.- !"#S $A%OS #N AMBAS DI"#CCION#S2.- $A%OS "#C!AN&ULA"#S DOND# S# CUM$LA' B(A)23.- LAS LON&I!UD#S D# 2 $A%OS AD*AC#N!#S NO DI+I#"N #N MAS D# 1(3 D# LA LU4.- NO A* D#SALIN#AMIN#!O D# LAS COLUMNAS

5.- LAS CA"&AS SON D# &"A#DAD "#$A"!IDAS COMO' +U#"A(A"#A6.- LA CA"&A IA W/v NO #C#D# 2 #C#S LA CA"&A MU#"!A W/7.-

0.2 #-1*%22

5.0#-2*%12

'A(ODecc. +""n#

%n 1 %n 2 #- 1 #- 2 0.2 RR7 5.0I 700 800 1.90 2.16 1.15 OII 750 800 1.90 1.62 1.34 O

III 700 800 1.90 2.16 1.15 OIV 700 850 1.42 2.16 0.9/ OV 750 850 1.42 1.62 1.13 O

VI 700 850 1.42 2.16 0.9/ O

VII 700 800 1.90 2.16 1.15 OVIII 750 800 1.90 1.62 1.34 O

I 700 800 1.90 2.16 1.15 O

ANA%I&I&

1 250 700 50 750

#"I+ICAMOS LA "#LACION D# RIGIDECE& RE%ATIVA& DE %A VIGA RR7$, !I#

$ , :$ !RANJA DE CO%)MNA Y !RANJA CENTRA%

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#- 1.42 1.42%n 650.00 700.00

%n;0.65*%1 455 O 455

1.7 M" /4.0/ 85.90

!"AMO #!#"IO" !"AMO IN!#"I

CA&O 2 0.16 M%1 ? 1.6/ *%2>%1 ? 1.56

75 CA&O 75

1.6/69.6@ /2.0@

45 45

2.00 1.18 1.00 2 2.00 1.10 1.00TRAMO& ETERIORE& TRAMO& INTERIORE&

c$ MOMENTO TOTA% I&O&TATICO

d$ MOMENTO DE %O&A

e$ MOMENTO& EN !RANJA DE CO%)MNA

e.1 $ @ DE MOMENTO& N

e.2 $ @ DE MOMENTO& '

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75 CA&O 75

1.6/69.6@ /2.0@

45 45


CA&O 1

70 12 25

1 30 70

452 25 45

30 45

CA&O 2

75

25 2 1 30 45

45 12 25 75

30

INE

100 100

9/.2@ 93./@

75 45

2.50 0.28 0.00 2.50 0.28 0.00%2 > %1 ? 1.00 %2 > %1 ? 2.00

85 M+/ : ? ? v@?

1 2

e.2 $ @ DE MOMENTO NEGATI

-$ MOMENTO& DE !RANJA DE CO%)MNA EN VIGA& Y %O&A# >: >

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50 700 50 750

B

MOMENTO& DE %O&A-11.85 -51.85 -55.84

42.22 30.07

96.5 96.5 72.069.6 72.0

-11.44 -50.05 -40.2029.40 21.65

-0.41 -1.79 -15.6312.82 8.42

-9.72 -42.55 -34.1724.99 18.40

-1.72 -7.51 -6.034.41 3.25

1 230 700 30 750

#- 2.38 2.38

%n 670.00 720.00

1.7 M" 39.59 45./2

!"AMO #!#"IO" !"AMO IN!#"I

CA&O 2 0.16 M

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22.56 16.00

1 230 700 30 750

A

#- 2.38 2.38%n 7.00 7.50

TRAMO& ETERIORE& TRAMO& INTERIORE&

%2>%1 ? 0.59 %2>%1 ? 0.55

*%2>%1 ? 1.41 *%2>%1 ? 1.32

90 CA&O 90

1.418/.2@ 88.4@

75 75


90 CA&O 90

1.418/.2@ 88.4@

75 75


CA&O 1

70 12 25

1 30 70

452 25 45

30 45

CA&O 2

e$ MOMENTO& EN !RANJA DE CO%)MNA

e.1 $ @ DE MOMENTO& N

e.2 $ @ DE MOMENTO& '

e.2 $ @ DE MOMENTO NEGATI

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75

25 2 1 30 45

45 12 25 75

30INE

100 100

9/./3@ 94.3@

90 75

2.50 0.57 0.00 2.50 0.57 0.00

%2 > %1 ? 0.50 %2 > %1 ? 1.00

85 M+/ : ? ? v@?

1 250 700 50 750

A

MOMENTO& DE %O&A-6.33 -27.71 -29.72

22.56 16.00

97.1 97.1 88.487.2 88.4

-6.15 -26.91 -26.2719.68 14.14

-0.18 -0.80 -3.452.89 1.86

-5.23 -22.87 -22.3316.73 12.02

-0.92 -4.04 -3.94

-$ MOMENTO& DE !RANJA DE CO%)MNA EN VIGA& Y %O&A# >: >

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2.95 2.12

CO%)MNA EN %O&A

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d2559001.5402481.1

961,483

1,286,951

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d2786563.6353953.6

1,140,517

1,524,580

RCIA DE %O&A !C"#$ #- %n>2 F #" %n 12 F #" %n 1

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MA*O"

Decc. Vec#%n 1 %n 2 #- 1 #- 2 0.2 RR7 5.0800 700 2.16 1.90 0.8/ O800 750 1.62 1.90 0./5 O

800 700 2.16 1.90 0.8/ O850 700 2.16 1.42 1.03 O850 750 1.62 1.42 0.89 O

850 700 2.16 1.42 1.03 O

800 700 2.16 1.90 0.8/ O800 750 1.62 1.90 0./5 O

800 700 2.16 1.90 0.8/ O

3 450 700 50

800

'A(O &)'ERIOR

%1 ? 700 1.75%2 ? 800

# U# CUM$LI"

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850

'A(O IN!ERIOR

%1 ? 700 1.75

%2 ? 850

1.42

650.00O 455 O

/4.0/

O" !"AMO #!#"IO"

M

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CA&O 75 CA&O

1.10 1.6/69.6@

45

2 2.00 1.18 1.00 2TRAMO& ETERIORE&

> 3*>3 C0.43 630,000 459,900

0.56 234,375 152,344

612,244

> 3*>3 C0.67 405,000 234,9000.33 390,625 308,594

543,494

E% MENOR VA%OR DE C ? 612,244

CIA DE %O&A !Cen$ I%$ ? 1,0/4,219

B ? 0.28

97

96.5@

94

2.00 1.18 1.00%2 > %1 ? 1.18 B ? 0.28

3 4

O ETERIOR

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50 700 50

8.25

-55.84 -51.85 -11.8542.22

72.0 96.5 96.569.6

-40.20 -50.05 -11.4429.40

-15.63 -1.79 -0.4112.82

-34.17 -42.55 -9.7224.99

-6.03 -7.51 -1.724.41

3 430 700 30

30

800

'A(O IN!ERIOR%1 ? 700 1.0375

%2 ? 415

2.38

670.00

39.59

O" !"AMO #!#"IO"

M

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22.56

3 430 700 30

30

4.15

2.387.00

TRAMO& ETERIORE&

%2>%1 ? 0.59

*%2>%1 ? 1.41

CA&O 90 CA&O

1.32 1.418/.2@

75

1 1.00 0.59 0.50 1TRAMO& ETERIORE&

CA&O 90 CA&O

0.55 1.418/.2@

75

1 1.00 0.59 0.50 1TRAMO& ETERIORE&

> 3*>3 C0.43 630,000 459,900

0.56 234,375 152,344

612,244

GATIVO&

&ITIVO&

O ETERIOR

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> 3*>3 C0.67 405,000 234,9000.33 390,625 308,594

543,494

E% MENOR VA%OR DE C ? 612,244CIA DE %O&A !Cen$ I%$ ? 540,365

B ? 0.5/

97.73

9/.1@

94

1.00 0.59 0.50

%2 > %1 ? 0.59 B ? 0.57

3 450 700 50

30

4.15

-29.72 -27.71 -6.3322.56

88.4 97.1 97.187.2

-26.27 -26.91 -6.1519.68

-3.45 -0.80 -0.182.89

-22.33 -22.87 -5.2316.73

-3.94 -4.04 -0.92

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2.95

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%n 2

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2.25 !cen#

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.

2.50 !cen#

3.50 !c"#n

4./5 !cen#8.25 %K2

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1.04 !c"#n

3.11 !cen#

1.04 !c"#n

3.11 !cen#

4.15 %K2

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METODO DE COE!ICIENTE&

1 2 3 4700 750 700

A

800 1 2 3

B

850 4 5 6

C

800 7 8 9

D

+ #" ? 0.20''#" 480

''L 100

'': 0

!.C. 1.4c 812

CM AL#-cd

'A(O B A CA&O C: M: =$

I 800 700 0.88 4 0.0202 1.05

II 800 750 0.94 2 0.0153 0.80

III 800 700 0.88 3 0.0226 1.18

IV 850 700 0.82 8 0.0160 0.94

V 850 750 0.88 2 0.0136 0.80

VI 850 700 0.82 8 0.0160 0.94VII 800 700 0.88 4 0.0202 1.05

VIII 800 750 0.94 9 0.0161 0.83

I 800 700 0.88 4 0.0202 1.05

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B

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@(/2

@(/2

@(/2 >c 400 @(/2

!.C. 1.7>c2 c7 680 >c2 c 1492 >c2

" =$ de:d" CM CV AL#-cd M" =$ de:d" CV CT AL#-cd M"

C M =$ C: M: =$ C M =$ C: M: =$ C

0.0347 1.38 0.0244 1.06 0.0416 1.39 0.0370 3.53 0.0630

0.0206 0.94 0.0236 1.03 0.0308 1.18 0.0389 3./2 0.0521

0.0281 1.12 0.0254 1.11 0.0383 1.28 0.0663 6.33 0.0000

0.0313 1.24 0.0204 1.00 0.0430 1.43 0.0429 4.63 0.0528

0.0227 1.04 0.0211 1.03 0.0352 1.35 0.0343 3./0 0.0567

0.0313 1.24 0.0204 1.00 0.0430 1.43 0.0429 4.63 0.05280.0347 1.38 0.0244 1.06 0.0416 1.39 0.0370 3.53 0.0630

0.0249 1.14 0.0239 1.04 0.0329 1.26 0.0249 2.38 0.0664

0.0347 1.38 0.0244 1.06 0.0416 1.39 0.0370 3.53 0.0630

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0

0

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M M M- M- M M

MFx> MF MFx>

S# CALCULA #L GMG $A"A C(!"AMO

GMG D#$#ND# D# LA "I&ID# U# $"O## #L A$O*O

$ MOMENTO& DE %O&A < 'A(O INTERIOR2 M- 1 MF

- AH M- M- = 0.65M

- MF MF = 0.35M

:$ MOMENTO& DE %O&A < 'A(O ETERIOR

M"%" >7 ne"e

>7 de :"de 3$ c>7 de :"de 4$

M- 0.75 0.70 0.70 0.70 0.65MF 0.63 0.57 0.52 0.50 0.35M- 0.00 0.16 0.26 0.30 0.65

M

M @?

+

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B> =#/HC

B> ="@:K >

ca 2_2 (1).xls

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