Copia de Metodo Regidez Luna Vega

8/18/2019 Copia de Metodo Regidez Luna Vega

1/32

LA RIGIDEZ -- ING.CIVIL

NALISIS ESTRUCTURAL II

UNA VEGA DIEGO ANDRE

II

RESOLVER:

PRIMER TRAMO

A - B 1.00 Tn

tud 5.00 m

e 0.30 m

te 0.50 m

210 kgcm! 2173706.51192842 tnm!

0.003125 m"

6792.8328497763 Tn-m!

0.15 m!

# 2.0833333333 T-m

# -2.0833333333 T-m

s las matrices de rigide%&PRIMER TRAMO

A - B0 0 -65211.19536 0 0

52.1119536 1630.2798839463 0 -652.11195 1630.2798839463

630.279884 5434.266279821 0 -1630.2799 2717.1331399105

0 0 65211.19536 0 0

'B

m 4 mm

θ 2 θ 3m 1 Tn/m


2/32

52.1119536 -1630.2798839463 0 652.11195 -1630.2798839463

630.279884 2717.1331399105 0 -1630.2799 5434.266279821

co& 12227.09912959730 1 entonces2 3396.4164248882

8.788894686E-005

-2.19722367E-005

FUERZAS

EXTREMO

F1

F2

F3

F4

F5

F6

ELE

Fuerz

F1

F2

F3

F4

F5

F6


3/32

MAB =

MBA =

MB =

MB =

M! =

M! =

MA =

MB =

M =

M! =


4/32

4E85*+O TRAMO

B - 'W 1.00 Tn

Longitud 4.00 m

base 0.30 m

peralte 0.50 m

fc 210 kgcm!E 2173706.51192842 tnm!

I 0.003125 m"

EI 6792.8328497763 Tn-m!

A 0.15 m!

MB'# 1.3333333333 T-m

M'B# -1.3333333333 T-m

4E85*+O TRAMO

B - '513.9942 0 0 -81513.994197 0

0 1273.65615933 2547.3123186661 0 -1273.656159

0 2547.31231867 6792.8328497763 0 -2547.312319

513.9942 0 0 81513.9941973 0

+


5/32

0 -1273.6561593 -2547.3123186661 0 1273.656159

0 2547.31231867 3396.4164248882 0 -2547.312319

)I*AL

θ2=

0.75

θ3 0

R4A

θ2 6.59167101461E-005

θ3 -1.6479177537E-005

4 E6TREMO4 +E LO4 ELEME*TO4

ELEMENTO 2 ELEMENTO 3

uerzas "# $uerzas "# $uerzas

0.000 0 0.000 0 0.000

0.107 0 0.126 0 -0.042

0.179 0.00007 0.392 -0.00002 -0.112

0.000 0 0.000 0 0.000

0.107 0 -0.126 0 0.042

0.358 -0.00002 0.112 0 -0.056

*TO4 +E LO4 ELEME*TO4


Fuerzas actuantes Fuerzas actuantes

F1 0.000 F1 0.000

F2 2.126 F2 1.958

F3 1.725 F3 1.221

F4 0.000 F4 0.000

F5 1.874 F5 2.042

F6 -1.221 F6 -1.389

9

0


6/32

REA''IO*E4

Tn%& RA = 2.607 Tn

Tn%& RB = 4.518 Tn

Tn%& R = 3.832 Tn

Tn%& R! = 2.042 Tn

Tn%&

Tn%&

Tn%&

Tn%&

Tn%&

Tn%&


7/32

TER'ER TRAMO

' - +W 1.00 Tn

Longitud 4.00 m

base 0.30 m

peralte 0.50 m

fc 210 kgcm!E 2173706.51192842 tnm!

I 0.003125 m"

EI 6792.8328497763 Tn-m!

A 0.15 m!

M'+# 1.3333333333 T-m

M+'# -1.3333333333 T-m

TER'ER TRAMO

' - +1513.9942 0 0 -81513.9942 0

0 1273.656159 2547.3123186661 0 -1273.656159

0 2547.312319 6792.8328497763 0 -2547.312319

81513.9942 0 0 81513.9942 0


8/32

0 -1273.656159 -2547.3123186661 0 1273.656159

0 2547.312319 3396.4164248882 0 -2547.312319


9/32


10/32


11/32


12/32


13/32




II

RESOLVER:

PRIMER TRAMO

A - B 2.00 Tn

tud 5.00 m

e 0.30 m

te 0.50 m

210 kgcm! 2173706.51 tnm!

0.003125 m"

6792.83285 Tn-m!

0.15 m!

# 4.16666667 T-m

# -4.16666667 T-m


A - B0 0 -65211.19536 0 0

52.1119536 1630.279884 0 -652.1119536 1630.279884

630.279884 5434.26628 0 -1630.279884 2717.13314

0 0 65211.19536 0 0

'B

m 4 mm

θ 2 θ 3m 1 Tn/m


14/32

52.1119536 -1630.279884 0 652.1119536 -1630.279884

630.279884 2717.13314 0 -1630.279884 5434.26628

co& 12227.099130 1 entonces2 3396.416425

8.7889E-005

-2.1972E-005

)5E

FUERZAS

EXTREMO

F1

F2

F3

F4

F5

F6

)5ER

ELEM

Fuerzas

F1

F2

F3

F4

F5

F6


15/32

M

MAB =

MBA =

MB =

MB =

M! =

M! =

MA =

MB =

M =

M! =


16/32

4E85*+O TRAMO

B - ' 1.00 Tn

tud 4.00 m

e 0.30 m

te 0.50 m

210 kgcm! 2173706.51 tnm!

0.003125 m"

6792.83285 Tn-m!

0.15 m!

# 1.33333333 T-m

# -1.33333333 T-m

4E85*+O TRAMO

B - '0 0 -81513.9942 0 0

273.656159 2547.312319 0 -1273.656159 2547.312319

547.312319 6792.83285 0 -2547.312319 3396.416425

0 0 81513.9942 0 0


17/32

273.656159 -2547.312319 0 1273.656159 -2547.312319

547.312319 3396.416425 0 -2547.312319 6792.83285

*AL

= 2.833333333

-1.333333333

A

θ2 0.000278315

θ3 -0.000167721

REMO4 +E LO4 ELEME*TO4


"# $uerzas "# $uerzas

0 0.000 0 0.000

0 0.282 0 -0.427

0.00028 1.321 -0.00017 -1.139

0 0.000 0 0.000

0 -0.282 0 0.427

-0.00017 -0.194 0 -0.570

+E LO4 ELEME*TO4

NTO 2 ELEMENTO 3

tuantes Fuerzas actuantes

0.000 F1 0.000

2.282 F2 3.573

2.654 F3 1.527

0.000 F4 0.000

1.718 F5 4.427

-1.527 F6 -3.236

0


18/32

REA''IO*E4

RA = 5.454 Tn

RB = 6.828 Tn

R = 5.291 Tn

R! = 4.427 Tn


19/32

TER'ER TRAMO

' - + 2.00 Tn

tud 4.00 m

e 0.30 m

te 0.50 m

210 kgcm! 2173706.51 tnm!

0.003125 m"

6792.83285 Tn-m!

0.15 m!

# 2.66666667 T-m

# -2.66666667 T-m

TER'ER TRAMO

' - +0 0 -81513.9942 0 0

273.656159 2547.312319 0 -1273.656159 2547.312319

547.312319 6792.83285 0 -2547.312319 3396.416425

0 0 81513.9942 0 0


20/32

273.656159 -2547.312319 0 1273.656159 -2547.312319

547.312319 3396.416425 0 -2547.312319 6792.83285


21/32


22/32




II

RESOLVER:

PRIMER TRAMO

A - B 2.00 Tn

tud 5.00 m

e 0.30 m

te 0.50 m

210 kgcm! 2173706.51 tnm!

0.003125 m"

6792.83285 Tn-m!

0.15 m!

# 4.16666667 T-m

# -4.16666667 T-m


A - B0 0 -65211.19536 0 0

52.1119536 1630.279884 0 -652.1119536 1630.279884

630.279884 5434.26628 0 -1630.279884 2717.13314

0 0 65211.19536 0 0

'B

m 4 mm

θ 2 θ 3m 4 Tn/m


23/32

52.1119536 -1630.279884 0 652.1119536 -1630.279884

630.279884 2717.13314 0 -1630.279884 5434.26628

co& 12227.099130 1 entonces2 3396.416425

8.7889E-005

-2.1972E-005

)5E

FUERZAS

EXTREMO

F1

F2

F3

F4

F5

F6

)5ER

ELEM

Fuerzas

F1

F2

F3

F4

F5

F6


24/32

M

MAB =

MBA =

MB =

MB =

M! =

M! =

MA =

MB =

M =

M! =


25/32

4E85*+O TRAMO

B - ' 4.00 Tn

tud 4.00 m

e 0.30 m

te 0.50 m

210 kgcm! 2173706.51 tnm!

0.003125 m"

6792.83285 Tn-m!

0.15 m!

# 5.33333333 T-m

# -5.33333333 T-m

4E85*+O TRAMO

B - '0 0 -81513.9942 0 0

273.656159 2547.312319 0 -1273.656159 2547.312319

547.312319 6792.83285 0 -2547.312319 3396.416425

0 0 81513.9942 0 0


26/32

273.656159 -2547.312319 0 1273.656159 -2547.312319

547.312319 3396.416425 0 -2547.312319 6792.83285

*AL

= -1.166666667

2.666666667

A

θ2 -0.00016113

θ3 0.000236568

REMO4 +E LO4 ELEME*TO4


"# $uerzas "# $uerzas

0 0.000 0 0.000

0 0.192 0 0.603

-0.00016 -0.291 0.00024 1.607

0 0.000 0 0.000

0 -0.192 0 -0.603

0.00024 1.060 0 0.803

+E LO4 ELEME*TO4

NTO 2 ELEMENTO 3

tuantes Fuerzas actuantes

0.000 F1 0.000

8.192 F2 4.603

5.042 F3 4.274

0.000 F4 0.000

7.808 F5 3.397

-4.274 F6 -1.863

0


27/32

REA''IO*E4

RA = 4.737 Tn

RB = 13.455 Tn

R = 12.410 Tn

R! = 3.397 Tn


28/32

TER'ER TRAMO

' - + 2.00 Tn

tud 4.00 m

e 0.30 m

te 0.50 m

210 kgcm! 2173706.51 tnm!

0.003125 m"

6792.83285 Tn-m!

0.15 m!

# 2.66666667 T-m

# -2.66666667 T-m

TER'ER TRAMO

' - +0 0 -81513.9942 0 0

273.656159 2547.312319 0 -1273.656159 2547.312319

547.312319 6792.83285 0 -2547.312319 3396.416425

0 0 81513.9942 0 0


29/32

273.656159 -2547.312319 0 1273.656159 -2547.312319

547.312319 3396.416425 0 -2547.312319 6792.83285


30/32


31/32

METODO DE LA RIGIDEZ -- ING.CIVIL METODO DE LA RIGIDEZ -- ING.CIVIL METODO

CURSO: ANALISIS ESTRUCTURAL II CURSO: ANALISIS ESTRUCTURAL II CURSO:

ALUMNO: LUNA VEGA DIEGO ANDRE ALUMNO: LUNA VEGA DIEGO ANDRE ALUMNO:CICLO: VIII CICLO: VIII CICLO:

PROBLEMA A RESOLVER: PROBLEMA A RESOLVER: PROBLE

PRIMER TRAMO SEGUNDO TRAMO TERCER TRAMO PRIMER TRAMO SEGUNDO TRAMO TERCER TRAMO

A - B B - C C - D A - B B - C C - D 1.00 Tn 1.00 Tn 1.00 Tn 2.00 Tn 1.00 Tn 2.00 Tn

L!n"#$%& 5.00 m L!n"#$%& 4.00 m L!n"#$%& 4.00 m L!n"#$%& 5.00 m L!n"#$%& 4.00 m L!n"#$%& 4.00 m L!n'()* 0.30 m '()* 0.30 m '()* 0.30 m '()* 0.30 m '()* 0.30 m '()* 0.30 m '

+*,($* 0.50 m +*,($* 0.50 m +*,($* 0.50 m +*,($* 0.50 m +*,($* 0.50 m +*,($* 0.50 m +*, 210 0"/m2 210 0"/m2 210 0"/m2 210 0"/m2 210 0"/m2 210 0"/m2

E 2173706.5119 $n/m2 E 2173706.51192842 $n/m2 E 2173706.5119 $n/m2 E 2173706.5119 $n/m2 E 2173706.5119 $n/m2 E 2173706.5119 $n/m2I 0.003125 m4 I 0.003125 m4 I 0.003125 m4 I 0.003125 m4 I 0.003125 m4 I 0.003125 m4EI 6792.8328498 Tn-m2 EI 6792.8328497763 Tn-m2 EI 6792.8328498 Tn-m2 EI 6792.8328498 Tn-m2 EI 6792.8328498 Tn-m2 EI 6792.8328498 Tn-m2A 0.15 m2 A 0.15 m2 A 0.15 m2 A 0.15 m2 A 0.15 m2 A 0.15 m2

MAB 2.0833333333 T-m MBC 1.3333333333 T-m MCD 1.3333333333 T-m MAB 4.1666666667 T-m MBC 1.3333333333 T-m MCD 2.6666666667 T-m M

MBA -2.083333333 T-m MCB -1.3333333333 T-m MDC -1.333333333 T-m MBA -4.166666667 T-m MCB -1.333333333 T-m MDC -2.666666667 T-m M

((m!) () m($,#*) &* ,#"#&*: ((m!) () m($,#*) &* ,#"#&*: ((m!)

PRIMER TRAMO SEGUNDO TRAMO TERCER TRAMO PRIMER TRAMO SEGUNDO TRAMO TERCER TRAMOA - B B - C C - D A - B B - C C - D

65211.1954 0 0 -65211.195 0 0 81513.9942 0 0 -81513.9942 0 0 81513.9942 0 0 -81513.994 0 0 65211.1954 0 0 -65211.195 0 0 81513.9942 0 0 -81513.9942 0 0 81513.9942 0 0 -81513.994 0 0 65211.1954

0 652.11195 1630.2798839 0 -652.11195 1630.2798839463 0 1273.6561593 2547.3123186661 0 -1273.6562 2547.3123 0 1273.6562 2547.3123187 0 -1273.6562 2547.3123 0 652.11195 1630.2798839 0 -652.11195 1630.2798839463 0 1273.6561593 2547.3123187 0 -1273.6562 2547.3123 0 1273.6562 2547.3123187 0 -1273.6562 2547.3123 0

0 1630.2799 5434.2662798 0 -1630.2799 2717.1331399105 0 2547.3123187 6792.8328497763 0 -2547.3123 3396.4164 0 2547.3123 6792.8328498 0 -2547.3123 3396.4164 0 1630.2799 5434.2662798 0 -1630.2799 2717.1331399105 0 2547.3123187 6792.8328498 0 -2547.3123 3396.4164 0 2547.3123 6792.8328498 0 -2547.3123 3396.4164 0

-65211.195 0 0 65211.1954 0 0 -81513.994 0 0 81513.994197 0 0 -81513.994 0 0 81513.9942 0 0 -65211.195 0 0 65211.1954 0 0 -81513.994 0 0 81513.994197 0 0 -81513.994 0 0 81513.9942 0 0 -65211.195

0 -652.11195 -1630.279884 0 652.11195 -1630.2798839463 0 -1273.656159 -2547.3123186661 0 1273.6562 -2547.3123 0 -1273.6562 -2547.312319 0 1273.6562 -2547.3123 0 -652.11195 -1630.279884 0 652.11195 -1630.2798839463 0 -1273.656159 -2547.312319 0 1273.6562 -2547.3123 0 -1273.6562 -2547.312319 0 1273.6562 -2547.3123 0

0 1630.2799 2717.1331399 0 -1630.2799 5434.266279821 0 2547.3123187 3396.4164248882 0 -2547.3123 6792.8328 0 2547.3123 3396.4164249 0 -2547.3123 6792.8328 0 1630.2799 2717.1331399 0 -1630.2799 5434.266279821 0 2547.3123187 3396.4164249 0 -2547.3123 6792.8328 0 2547.3123 3396.4164249 0 -2547.3123 6792.8328 0

MATRIZ INAL MATRIZ INAL

D* ",6!: 12227.0991295973 3396.4164248882 θ2=

0.75 D* ",6!: 12227.0991295973 3396.4164248882 θ2=

2.8333333333 D* ",6

θ1 7 θ4 7 8 *n$!n*)9 3396.4164248882 13585.6656995526 θ3 0 θ1 7 θ4 7 8 *n$!n*)9 3396. 4164248882 13585. 6656995526 θ3 -1. 333333333 θ1 7 θ4

INVERSA INVERSA

8.788894686151E-005 -2.197223671538E-005 θ2 6.591671014614E-005 8.788894686151E-005 -2.197223671538E-005 θ2 0.000278315

-2.197223671538E-005 7.910005217536E-005 θ3 -1.647917753653E-005 -2.197223671538E-005 7.910005217536E-005 θ3 -0.000167721

UERZAS EN LOS ETREMOS DE LOS ELEMENTOS UERZAS EN LOS ETREMOS DE LOS ELEMENTOS

FUERZAS ELEMENTO 1 ELEMENTO 2 ELEMENTO 3 FUERZAS ELEMENTO 1 ELEMENTO 2 ELEMENTO 3

EXTREMO Δi f!"#$% Δi f!"#$% Δi f!"#$% EXTREMO Δi f!"#$% Δi f!"#$% Δi f!"#$%

F1 0 0.000 0 0.000 0 0.000 F1 0 0.000 0 0.000 0 0.000

F2 0 0.107 0 0.126 0 -0.042 F2 0 0.454 0 0.282 0 -0.427

F3 0.00000 0.179 0.00007 0.392 -0.00002 -0.112 F3 0.00000 0.756 0.00028 1.321 -0.00017 -1.139F4 0 0.000 0 0.000 0 0.000 F4 0 0.000 0 0.000 0 0.000

F5 0 -0.107 0 -0.126 0 0.042 F5 0 -0.454 0 -0.282 0 0.427

F6 0.00007 0.358 -0.00002 0.112 0 -0.056 F6 0.00028 1.512 -0.00017 -0.194 0 -0.570

UERZAS ; MOMENTOS DE LOS ELEMENTOS UERZAS ; MOMENTOS DE LOS ELEMENTOS

ELEMENTO 1 ELEMENTO 2 ELEMENTO 3 ELEMENTO 1 ELEMENTO 2 ELEMENTO 3

F!"#$% $&'$('!% F!"#$% $&'$('!% F!"#$% $&'$('!% F!"#$% $&'$('!% F!"#$% $&'$('!% F!"#$% $&'$('!%

F1 0.000 F1 0.000 F1 0.000 F1 0.000 F1 0.000 F1 0.000

F2 2.607 F2 2.126 F2 1.958 F2 5.454 F2 2.282 F2 3.573

F3 2.262 F3 1.725 F3 1.221 F3 4.923 F3 2.654 F3 1.527

F4 0.000 F4 0.000 F4 0.000 F4 0.000 F4 0.000 F4 0.000

F5 2.393 F5 1.874 F5 2.042 F5 4.546 F5 1.718 F5 4.427

F6 -1.725 F6 -1.221 F6 -1.389 F6 -2.654 F6 -1.527 F6 -3.236

DATOS INALES DATOS INALES

MOMENTOS REACCIONES MOMENTOS REACCIONES

MA) = 2.262 T(-* RA = 2.607 T( MA) = 4.923 T(-* RA = 5.454 T(

M)A = -1.725 T(-* R) = 4.518 T( M)A = -2.654 T(-* R) = 6.828 T(

M)+ = 1.725 T(-* R+ = 3.832 T( M)+ = 2.654 T(-* R+ = 5.291 T(

M+) = -1.221 T(-* R, = 2.042 T( M+) = -1.527 T(-* R, = 4.427 T(

M+, = 1.221 T(-* M+, = 1.527 T(-*

M,+ = -1.389 T(-* M,+ = -3.236 T(-*

MA = 2.262 T(-* MA = 4.923 T(-*

M) = 0.000 T(-* M) = 0.000 T(-*

M+ = 0.000 T(-* M+ = 0.000 T(-*

M, = -1.389 T(-* M, = -3.236 T(-*

A ' +B

5 m

9

0

4 m 4 m5 m

θ 2 θ 31 Tn/m

1 Tn/m1 Tn/m

A ' +B

5 m

9

0

4 m 4 m5 m

θ 2 θ 32 Tn/m

2 Tn/m1 Tn/m

A

5 m5 m

2 Tn/m


32/32

E LA RIGIDEZ -- ING.CIVIL

ANALISIS ESTRUCTURAL II

LUNA VEGA DIEGO ANDREVIII

A A RESOLVER:

PRIMER TRAMO SEGUNDO TRAMO TERCER TRAMO

A - B B - C C - D2.00 Tn 4.00 Tn 2.00 Tn

#$%& 5.00 m L!n"#$%& 4.00 m L!n"#$%& 4.00 m)* 0.30 m '()* 0.30 m '()* 0.30 m$* 0.50 m +*,($* 0.50 m +*,($* 0.50 m

210 0"/m2 210 0"/m2 210 0"/m22173706.5119 $n/m2 E 2173706.5119 $n/m2 E 2173706.5119 $n/m2

0.003125 m4 I 0.003125 m4 I 0.003125 m4I 6792.8328498 Tn-m2 EI 6792.8328498 Tn-m2 EI 6792.8328498 Tn-m2

0.15 m2 A 0.15 m2 A 0.15 m2B 4.1666666667 T-m MBC 5.3333333333 T-m MCD 2.6666666667 T-mA -4.166666667 T-m MCB -5.333333333 T-m MDC -2.666666667 T-m

() m($,#*) &* ,#"#&*:

PRIMER TRAMO SEGUNDO TRAMO TERCER TRAMOA - B B - C C - D

0 0 -65211.195 0 0 81513.9942 0 0 -81513.9942 0 0 81513.9942 0 0 -81513.994 0 0

652.11195 1630.2798839 0 -652.11195 1630.2798839463 0 1273.6561593 2547.3123187 0 -1273.6562 2547.3123 0 1273.6562 2547.3123187 0 -1273.6562 2547.3123

1630.2799 5434.2662798 0 -1630.2799 2717.1331399105 0 2547.3123187 6792.8328498 0 -2547.3123 3396.4164 0 2547.3123 6792.8328498 0 -2547.3123 3396.4164

0 0 65211.1954 0 0 -81513.994 0 0 81513.9942 0 0 -81513.994 0 0 81513.9942 0 0

-652.11195 -1630.279884 0 652.11195 -1630.2798839463 0 -1273.656159 -2547.312319 0 1273. 6562 -2547.3123 0 -1273.6562 -2547.312319 0 1273.6562 -2547.3123

1630.2799 2717.1331399 0 -1630.2799 5434.266279821 0 2547.3123187 3396.4164249 0 -2547.3123 6792.8328 0 2547.3123 3396.4164249 0 -2547.3123 6792.8328

MATRIZ INAL

: 12227.0991295973 3396.4164248882 θ2=

-1.166666667

8 *n$!n*)9 3396. 4164248882 13585. 6656995526 θ3 2. 6666666667

INVERSA

8.788894686151E-005 -2.197223671538E-005 θ2 -0.00016113

-2.197223671538E-005 7.910005217536E-005 θ3 0.0002365677

UERZAS EN LOS ETREMOS DE LOS ELE MENTOS

FUERZAS ELEMENTO 1 ELEMENTO 2 ELEMENTO 3

EXTREMO Δi f!"#$% Δi f!"#$% Δi f!"#$%

F1 0 0.000 0 0.000 0 0.000

F2 0 -0.263 0 0.192 0 0.603

F3 0.00000 -0.438 -0.00016 -0.291 0.00024 1.607F4 0 0.000 0 0.000 0 0.000

F5 0 0.263 0 -0.192 0 -0.603

F6 -0.00016 -0.876 0.00024 1.060 0 0.803

UERZAS ; MOMENTOS DE LOS ELE MENTOS

ELEMENTO 1 ELEMENTO 2 ELEMENTO 3

F!"#$% $&'$('!% F!"#$% $&'$('!% F!"#$% $&'$('!%

F1 0.000 F1 0.000 F1 0.000

F2 4.737 F2 8.192 F2 4.603

F3 3.729 F3 5.042 F3 4.274

F4 0.000 F4 0.000 F4 0.000

F5 5.263 F5 7.808 F5 3.397

F6 -5.042 F6 -4.274 F6 -1.863

DATOS INALES

MOMENTOS REACCIONES

MA) = 3.729 T(-* RA = 4.737 T(

M)A = -5.042 T(-* R) = 13.455 T(

M)+ = 5.042 T(-* R+ = 12.410 T(

M+) = -4.274 T(-* R, = 3.397 T(

M+, = 4.274 T(-*

M,+ = -1.863 T(-*

MA = 3.729 T(-*

M) = 0.000 T(-*

M+ = 0.000 T(-*

M, = -1.863 T(-*

' +B

9

0

4 m 4 m

θ 2 θ 3

2 Tn/m4 Tn/m

Copia de Metodo Regidez Luna Vega

Documents

Transcript of Copia de Metodo Regidez Luna Vega