Analisis Matricial-ejemplo Portico-comprobar Sap

coordenadas DESPLAZAMIENTOS (Ud) FUERZA EN NUDOnudo X Y UX UY UZ X YA 4 3 u1 u2 u3 120 0

B 4 0 0 0 u6 R4 R5

C 0 5 0 0 0 R7 R8

BARRA Ni Nf Dx Dy L Cosx Cosy1 B A 0 3 3.00 0.000 1.0002 C A 4 -2 4.47 0.894 -0.447

1794842.147 0 0 -1794842.15 0 00 49856.7263 74785.0895 0 -49856.7263 74785.0895

1 0 74785.0895 149570.179 0 -74785.0895 74785.0895-1794842.15 0 0 1794842.15 0 0

0 -49856.7263 -74785.0895 0 49856.7263 -74785.08950 74785.0895 74785.0895 0 -74785.0895 149570.179

866892.0348 0 0 -866892.035 0 00 8777.28185 19626.5989 0 -8777.28185 19626.5989

2 0 19626.5989 58515.2123 0 -19626.5989 29257.6062-866892.035 0 0 866892.035 0 0

0 -8777.28185 -19626.5989 0 8777.28185 -19626.59890 19626.5989 29257.6062 0 -19626.5989 58515.2123

80 KN/m

120 kn

FUERZA EN NUDO F´C 21 MpZ E 21538105.800 Cargas en barras

R9distribuidad local

b h A I w frx wy0.5 0.5 0.25 0.00520833 00.4 0.45 0.18 0.0030375 80 -143.108351 64

0.000 1.000 0 0 0 0-1 0 0 0 0 00 0 1 0 0 00 0 0 0.000 1 00 0 0 -1.000 0 00 0 0 0 0 1

0.894 -0.447 0 0 0 00.447 0.894427191 0 0 0 0

0 0 1 0 0 00 0 0 0.894 -0.4472135955 00 0 0 0.447 0.89442719099992 00 0 0 0 0 1

KG ensamblada ORDENADA1 2 3 6 4 5 7

745125.8105 -343245.901 66007.8076 74785.0895 -49856.726310862 0 -695269.084-343245.901 1975242.38 -17554.5637 0 0 -1794842.15 343245.90166007.80761 -17554.5637 208085.391 74785.0895 -74785.089466293 0 8777.2818574785.08947 0 74785.0895 149570.179 -74785.089466293 0 0-49856.7263 0 -74785.0895 -74785.0895 49856.7263108621 0 0

0 -1794842.15 0 0 0 1794842.15 0-695269.084 343245.9012 8777.28185 0 0 0 695269.084343245.9012 -180400.232 17554.5637 0 0 0 -343245.901-8777.28185 -17554.5637 29257.6062 0 0 0 8777.28185

1 2 3 6

4745125.8105 -343245.901 66007.8076 74785.0895 -49856.7263

Distribuida completa (global)

-343245.901 1975242.38 -17554.5637 0 k1 066007.80761 -17554.5637 208085.391 74785.0895 -74785.089574785.08947 0 74785.0895 149570.179 -74785.0895

-49856.7263 0 -74785.0895 -74785.0895

49856.72630 -1794842.15 0 0 0

-695269.084 343245.9012 8777.28185 0 0343245.9012 -180400.232 17554.5637 0 0-8777.28185 -17554.5637 29257.6062 0 0

Cargas en barrasPuntual Fuerzas restrictivas ( fem)

P1 P2 NiValor ubicación Valor ubicación Ai Vi Mi

0 0 0 00 0 0 0 -71.5541753 143.108351 106.666666667

0 -1 0 0 0 0 1 0 0 0 0 00 0 1 0 0 00 0 0 0 -1 00 0 0 1 0 00 0 0 0 0 1

0.89442719 0.4472136 0 0 0 0-0.4472136 0.89442719 0 0 0 0

0 0 1 0 0 00 0 0 0.89442719 0.4472136 00 0 0 -0.4472136 0.89442719 00 0 0 0 0 1

KG ensamblada ORDENADA ud/uc Fem global8 9

343245.901 -8777.28185 1 u1 0-180400.232 -17554.5637 2 u2 16017554.5637 29257.6062 3 u3 -106.666666667

0 0 6 u6 00 0 4 0 00 0 5 0 0

-343245.901 8777.28185 7 0 0180400.232 17554.5637 8 0 16017554.5637 58515.2123 9 0 106.666666667

5 7 8 90 -695269.084 343245.901 -8777.28185 u1

-1794842.15 343245.901 -180400.232 -17554.5637 u20 8777.28185 17554.5637 29257.6062 u30 0 0 0 u6

0 0 0 01794842.15 0 0 0

0 695269.084 -343245.901 8777.281850 -343245.901 180400.232 17554.56370 8777.28185 17554.5637 58515.2123

Fuerzas restrictivas ( fem)Nf

Af Vf Mf

-71.554175279993 143.10835056 -106.666667

KG4 5 6 1 2 3

49856.726310862 0 -74785.0895 -49856.7263 0 -74785.0895 40 1794842.1472 0 0 -1794842.15 0 5

-74785.089466293 0 149570.179 74785.0895 0 74785.0895 6-49856.726310862 0 74785.0895 49856.7263 0 74785.0895 1

0 -1794842.1472 0 0 1794842.15 0 2-74785.089466293 0 74785.0895 74785.0895 0 149570.179 3

7 8 9 1 2 3695269.08421062 -343245.90118 8777.28185 -695269.084 343245.901 8777.28185 7

-343245.90117913 180400.23244 17554.5637 343245.901 -180400.232 17554.5637 8

8777.2818523518 17554.563705 58515.2123 -8777.28185 -17554.5637 29257.6062 9-695269.08421062 343245.90118 -8777.28185 695269.084 -343245.901 -8777.28185 1343245.90117913 -180400.23244 -17554.5637 -343245.901 180400.232 -17554.5637 28777.2818523518 17554.563705 29257.6062 -8777.28185 -17554.5637 58515.2123 3

-fexternas Feq

-120 1200 -1600 106.6666670 = 0

- R4 R4-R5 R5-R7 R7-R8 R8-160-R9 R9-106,66

Ud (m) RESTRICCIONES0.0001186166113 -23.8899099 R4

-5.506357098E-05 98.830418 R50.0005993561315 -96.1100901 R7

-0.0003589863714 61.169582 221.169582 R80 17.4612112 124.121211 R90000

Fem local Fem global U globales

0 0 u4 00 0 u5 0

0 0 u6 -0.0003589863710 0 u1 0.00011861661130 0 u2 -5.506357098E-050 0 u3 0.0005993561315

-71.5541753 0 u7 0143.108351 160 u8 0

106.666667 106.6666666667 u9 0-71.5541753 0 u1 0.0001186166113143.108351 160 u2 -5.506357098E-05

-106.666667 -106.666666667 u3 0.0005993561315

U locales F barras

0 98.8304 axial 40 23.8899 cortante 5

-0.0003589863714 0.0000 momento 6-5.506357098E-05 -98.8304 axial 1-0.0001186166113 -23.8899 cortante 20.0005993561315 71.6697 momento 3

0 -184.8735 axial 70 154.8383 cortante 8

0 124.1279 momento 90.0001307191 41.7652 axial 1

3.7966061133E-06 131.3784 cortante 20.0005993561315 -71.6697 momento 3

coordenadas DESPLAZAMIENTOS (Ud) FUERZA EN NUDOnudo X Y UX UY UZ XA 0 0 0 0 0 R1B 0 2.8 u4 u5 u6 500C 3.29 2.8 u7 u8 u9 0D 3.29 0 0 0 0 R10

E 8.8 2.8 u13 u14 u15 0

F 8.8 0 0 0 0 R16

BARRA Ni Nf Dx Dy L Cosx1 A B 0 2.8 2.80 0.0002 B C 3.29 0 3.29 1.0003 D C 0 2.8 2.80 0.0004 C E 5.51 0 5.51 1.0005 F E 0 2.8 2.80 0.000

692296.257 0 0 -692296.257 0 00 7947.27846 11126.1898 0 -7947.278457861 11126.1898

1 0 11126.1898 20768.8877 0 -11126.18984101 10384.4439-692296.257 0 0 692296.257 0 0

0 -7947.27846 -11126.1898 0 7947.278457861 -11126.18980 11126.1898 10384.4439 0 -11126.18984101 20768.8877

687386.354 0 0 -687386.354 0 00 7779.38382 12797.0864 0 -7779.383818961 12797.0864

2 0 12797.0864 28068.2761 0 -12797.08638219 14034.1381-687386.354 0 0 687386.354 0 0

0 -7779.38382 -12797.0864 0 7779.383818961 -12797.08640 12797.0864 14034.1381 0 -12797.08638219 28068.2761

692296.257 0 0 -692296.257 0 00 7947.27846 11126.1898 0 -7947.278457861 11126.1898

3 0 11126.1898 20768.8877 0 -11126.18984101 10384.4439-692296.257 0 0 692296.257 0 0

0 -7947.27846 -11126.1898 0 7947.278457861 -11126.18980 11126.1898 10384.4439 0 -11126.18984101 20768.8877

410435.772 0 0 -410435.772 0 0

0 1656.06774 4562.46662 0 -1656.067737218 4562.466624 0 4562.46662 16759.4607 0 -4562.466616034 8379.73035

-410435.772 0 0 410435.772 0 00 -1656.06774 -4562.46662 0 1656.067737218 -4562.466620 4562.46662 8379.73035 0 -4562.466616034 16759.4607

692296.257 0 0 -692296.257 0 00 7947.27846 11126.1898 0 -7947.278457861 11126.1898

5 0 11126.1898 20768.8877 0 -11126.18984101 10384.4439-692296.257 0 0 692296.257 0 0

0 -7947.27846 -11126.1898 0 7947.278457861 -11126.18980 11126.1898 10384.4439 0 -11126.18984101 20768.8877

KG ensamblada ORDENADA4 5 6 7 8 9

695333.633 0 11126.1898 -687386.354 0 00 700075.641 12797.0864 0 -7779.383818961 12797.0864

11126.1898 12797.0864 48837.1638 0 -12797.08638219 14034.1381-687386.354 0 0 1105769.41 0 11126.1898

0 -7779.38382 -12797.0864 0 701731.7083299 -8234.619770 12797.0864 14034.1381 11126.1898 -8234.619766156 65596.62450 0 0 -410435.772 0 00 0 0 0 -1656.067737218 -4562.466620 0 0 0 4562.466616034 8379.73035

-7947.27846 0 -11126.1898 0 0 00 -692296.257 0 0 0 0

11126.1898 0 10384.4439 0 0 00 0 0 -7947.27846 0 -11126.18980 0 0 0 -692296.2567737 00 0 0 11126.1898 0 10384.44390 0 0 0 0 00 0 0 0 0 00 0 0 0 0 0

U4U5U6U7U8

U9U13U14U15

FUERZA EN NUDO F´C 21 MpY Z E 21538105.8

R2 R30 00 0

R11 R120 0 Cargas en barras

R17 R18distribuidad local

Cosy b h A I w frx1.000 0.3 0.3 0.09 0.0006750.000 0.3 0.35 0.105 0.001071871.000 0.3 0.3 0.09 0.0006750.000 0.3 0.35 0.105 0.001071871.000 0.3 0.3 0.09 0.000675

0.000 1.000 0 0 0 0-1 0 0 0 0 00 0 1 0 0 00 0 0 0.000 1 00 0 0 -1.000 0 00 0 0 0 0 1

1.000 0.000 0 0 0 00.000 1.000 0 0 0 0

0 0 1 0 0 00 0 0 1.000 0 00 0 0 0.000 1 00 0 0 0 0 1

0.000 1.000 0 0 0 0-1.000 0.000 0 0 0 0

0 0 1 0 0 00 0 0 0.000 1 00 0 0 -1.000 0 00 0 0 0 0 1

1.000 0.000 0 0 0 0

0.000 1.000 0 0 0 00 0 1 0 0 00 0 0 1.000 0 00 0 0 0.000 1 00 0 0 0 0 1

0.000 1.000 0 0 0 0-1.000 0.000 0 0 0 0

0 0 1 0 0 00 0 0 0.000 1 00 0 0 -1.000 0 00 0 0 0 0 1

KG ensamblada ORDENADA13 14 15 1 2 3 10

0 0 0 -7947.27846 0 11126.1898 00 0 0 0 -692296.257 0 00 0 0 -11126.1898 0 10384.4439 0

-410435.77231592 0 0 0 0 0 -7947.278460 -1656.06774 4562.46662 0 0 0 00 -4562.46662 8379.73035 0 0 0 -11126.1898

418383.050773779 0 11126.1898 0 0 0 00 693952.325 -4562.46662 0 0 0 0

11126.1898410057 -4562.46662 37528.3484 0 0 0 00 0 0 7947.27846 0 -11126.1898 00 0 0 0 692296.257 0 00 0 0 -11126.1898 0 20768.8877 00 0 0 0 0 0 7947.278460 0 0 0 0 0 00 0 0 0 0 0 -11126.1898

-7947.2784578612 0 -11126.1898 0 0 0 00 -692296.257 0 0 0 0 0

11126.1898410057 0 10384.4439 0 0 0 0

Ud (m)0.029024372947840.00015528253651-0.00592102559330.02853670879965-8.6707339522E-05

-0.00262654903630.0282013384389

-6.8575196986E-05-0.0077722830249

Cargas en barras

distribuidad local Puntual Fuerzas restrictivas ( fem)P1 P2 Ni

wy Valor ubicación Valor ubicación Ai Vi Mi0 0 0 0

0 0 0 0 0 0 0

0 -1 0 0 0 01 0 0 0 0 00 0 1 0 0 00 0 0 0 -1 00 0 0 1 0 00 0 0 0 0 1

1 0 0 0 0 00 1 0 0 0 00 0 1 0 0 00 0 0 1 0 00 0 0 0 1 00 0 0 0 0 1

0 -1 0 0 0 01 0 0 0 0 00 0 1 0 0 00 0 0 0 -1 00 0 0 1 0 00 0 0 0 0 1

1 0 0 0 0 0

0 1 0 0 0 00 0 1 0 0 00 0 0 1 0 00 0 0 0 1 00 0 0 0 0 1

0 -1 0 0 0 01 0 0 0 0 00 0 1 0 0 00 0 0 0 -1 00 0 0 1 0 00 0 0 0 0 1

KG ensamblada ORDENADA11 12 16 17 18 ud/uc

0 0 0 0 0 4 U40 0 0 0 0 5 U50 0 0 0 0 6 U60 11126.1898 0 0 0 7 U7

-692296.257 0 0 0 0 8 U80 10384.4439 0 0 0 9 U90 0 -7947.27846 0 11126.1898 13 U130 0 0 -692296.257 0 14 U140 0 -11126.1898 0 10384.4439 15 X U150 0 0 0 0 1 00 0 0 0 0 2 00 0 0 0 0 3 00 -11126.1898 0 0 0 10 0

692296.257 0 0 0 0 11 00 20768.8877 0 0 0 12 00 0 7947.27846 0 -11126.1898 16 00 0 0 692296.257 0 17 00 0 -11126.1898 0 20768.8877 18 0

Af Vf Mf

KG1 2 3 4 5 6

7947.27846 0 -11126.1898 -7947.27846 0 -11126.1898 10 692296.257 0 0 -692296.257 0 2

-11126.1898 0 20768.8877 11126.1898 0 10384.4439 3-7947.27846 0 11126.1898 7947.27846 0 11126.1898 4

0 -692296.257 0 0 692296.257 0 5-11126.1898 0 10384.4439 11126.1898 0 20768.8877 6

KG4 5 6 7 8 9

687386.354 0 0 -687386.354 0 0 40 7779.38382 12797.0864 0 -7779.38382 12797.0864 5

0 12797.0864 28068.2761 0 -12797.0864 14034.1381 6-687386.354 0 0 687386.354 0 0 7

0 -7779.38382 -12797.0864 0 7779.38382 -12797.0864 80 12797.0864 14034.1381 0 -12797.0864 28068.2761 9

KG10 11 12 7 8 9

7947.27846 0 -11126.1898 -7947.27846 0 -11126.1898 100 692296.257 0 0 -692296.257 0 11

-11126.1898 0 20768.8877 11126.1898 0 10384.4439 12-7947.27846 0 11126.1898 7947.27846 0 11126.1898 7

0 -692296.257 0 0 692296.257 0 8-11126.1898 0 10384.4439 11126.1898 0 20768.8877 9

KG7 8 9 13 14 15

410435.772 0 0 -410435.772 0 0 7

0 1656.06774 4562.46662 0 -1656.06774 4562.46662 8

0 4562.46662 16759.4607 0 -4562.46662 8379.73035 9-410435.772 0 0 410435.772 0 0 13

0 -1656.06774 -4562.46662 0 1656.06774 -4562.46662 140 4562.46662 8379.73035 0 -4562.46662 16759.4607 15

KG16 17 18 13 14 15

7947.27846 0 -11126.1898 -7947.27846 0 -11126.1898 160 692296.257 0 0 -692296.257 0 17

-11126.1898 0 20768.8877 11126.1898 0 10384.4439 18-7947.27846 0 11126.1898 7947.27846 0 11126.1898 13

0 -692296.257 0 0 692296.257 0 14-11126.1898 0 10384.4439 11126.1898 0 20768.8877 15

Fem local -fexternas Feq0 -500 5000 0 00 0 00 0 00 0 00 0 00 0 00 0 0

= 0 0 = 00 -R1 R10 -R2 R20 -R3 R30 -R4 R100 -R5 R110 -R6 R120 -R7 R160 -R8 R170 -R9 R18

Fem local

000000

coordenadas DESPLAZAMIENTOS (Ud) FUERZA EN NUDOnudo X Y UX UY UZ X YA 0 0 0 0 0 R1 R2B 0 2.8 U4 U5 U6 0 0C 2.8 2.8 U7 U8 U9 0 0D 2.8 0 0 0 0 R10 R11E 6.6 2.8 U13 U14 U15 0 0F 6.6 0 0 0 0 R16 R17G 10.25 2.8 U19 U20 U21 0 0H 10.25 0 0 0 0 R22 R23I 11.65 2.8 U25 U26 U27 0 0

BARRA Ni Nf Dx Dy L Cosx Cosy1 A B 0 2.8 2.80 0.000 1.0002 B C 2.8 0 2.80 1.000 0.0003 D C 0 2.8 2.80 0.000 1.0004 C E 3.8 -2.8 4.72 0.805 -0.5935 F E 0 2.8 2.80 0.000 1.0006 E G 3.65 0 3.65 1.000 0.0007 H G 0 2.8 2.80 0.000 1.0008 G I 1.4 0 1.40 1.000 0.000

942292.1273 0 0 -942292.127 0 00 14723.3145 20612.6403 0 -14723.3145 20612.6403

1 0 20612.6403 38476.9285 0 -20612.6403 19238.4643-942292.127 0 0 942292.1273 0 0

0 -14723.3145 -20612.6403 0 14723.3145 -20612.64030 20612.6403 19238.4643 0 -20612.6403 38476.9285

1038444.385 0 0 -1038444.39 0 00 26822.0648 37550.8907 0 -26822.0648 37550.8907

2 0 37550.8907 70094.996 0 -37550.8907 35047.498-1038444.39 0 0 1038444.385 0 0

0 -26822.0648 -37550.8907 0 26822.0648 -37550.89070 37550.8907 35047.498 0 -37550.8907 70094.996

807678.9662 0 0 -807678.966 0 00 9271.82487 12980.5548 0 -9271.82487 12980.5548

3 0 12980.5548 24230.369 0 -12980.5548 12115.1845-807678.966 0 0 807678.9662 0 0

0 -9271.82487 -12980.5548 0 9271.82487 -12980.55480 12980.5548 12115.1845 0 -12980.5548 24230.369

616004.2103 0 0 -616004.21 0 00 5598.78153 13213.5989 0 -5598.78153 13213.5989

4 0 13213.5989 41580.2842 0 -13213.5989 20790.1421-616004.21 0 0 616004.2103 0 0

0 -5598.78153 -13213.5989 0 5598.78153 -13213.59890 13213.5989 20790.1421 0 -13213.5989 41580.2842

807678.9662 0 0 -807678.966 0 00 9271.82487 12980.5548 0 -9271.82487 12980.5548

5 0 12980.5548 24230.369 0 -12980.5548 12115.1845-807678.966 0 0 807678.9662 0 0

0 -9271.82487 -12980.5548 0 9271.82487 -12980.55480 12980.5548 12115.1845 0 -12980.5548 24230.369

796614.8708 0 0 -796614.871 0 00 12108.4264 22097.8783 0 -12108.4264 22097.8783

6 0 22097.8783 53771.5038 0 -22097.8783 26885.7519-796614.871 0 0 796614.8708 0 0

0 -12108.4264 -22097.8783 0 12108.4264 -22097.87830 22097.8783 26885.7519 0 -22097.8783 53771.5038

942292.1273 0 0 -942292.127 0 00 14723.3145 20612.6403 0 -14723.3145 20612.6403

7 0 20612.6403 38476.9285 0 -20612.6403 19238.4643-942292.127 0 0 942292.1273 0 0

0 -14723.3145 -20612.6403 0 14723.3145 -20612.64030 20612.6403 19238.4643 0 -20612.6403 38476.9285

2076888.77 0 0 -2076888.77 0 00 214576.518 150203.563 0 -214576.518 150203.563

8 0 150203.563 140189.992 0 -150203.563 70094.996-2076888.77 0 0 2076888.77 0 0

0 -214576.518 -150203.563 0 214576.518 -150203.5630 150203.563 70094.996 0 -150203.563 140189.992

4 5 6 7 8 9 131053167.7 0 20612.6403 -1038444.39 0 0 0

0 969114.192 37550.8907 0 -26822.0648 37550.8907 020612.64028 37550.8907 108571.925 0 -37550.8907 35047.498 0-1038444.39 0 0 1448927.846 -291504.208 20818.849 -401211.636

0 -26822.0648 -37550.8907 -291504.208 1054892.39 -26913.2058 291504.2080 37550.8907 35047.498 20818.84896 -26913.2058 135905.649 -7838.294150 0 0 -401211.636 291504.208 -7838.29415 1207098.330 0 0 291504.2084 -220391.356 -10637.6849 -291504.2080 0 0 7838.294149 10637.6849 20790.1421 5142.260670 0 0 0 0 0 -796614.8710 0 0 0 0 0 00 0 0 0 0 0 00 0 0 0 0 0 00 0 0 0 0 0 00 0 0 0 0 0 0

-14723.3145 0 -20612.6403 0 0 0 00 -942292.127 0 0 0 0 0

20612.64028 0 19238.4643 0 0 0 00 0 0 -9271.82487 0 -12980.5548 00 0 0 0 -807678.966 0 00 0 0 12980.55481 0 12115.1845 00 0 0 0 0 0 -9271.824870 0 0 0 0 0 00 0 0 0 0 0 12980.55480 0 0 0 0 0 00 0 0 0 0 0 00 0 0 0 0 0 0

FUERZA EN NUDO F´C 21 MpZ E 21538105.8

Cargas en barras

distribuidad local PuntualP1

b h A I w frx wy Valor0.35 0.35 0.1225 0.00125052 00.3 0.45 0.135 0.00227813

0.35 0.3 0.105 0.00078750.3 0.45 0.135 0.00227813

0.35 0.3 0.105 0.0007875 00.3 0.45 0.135 0.00227813

0.35 0.35 0.1225 0.001250520.3 0.45 0.135 0.00227813

0.000 1.000 0 0 0 0 0-1 0 0 0 0 0 10 0 1 0 0 0 00 0 0 0.000 1 0 00 0 0 -1.000 0 0 00 0 0 0 0 1 0

1.000 0.000 0 0 0 0 10.000 1.000 0 0 0 0 0

0 0 1 0 0 0 00 0 0 1.000 0 0 00 0 0 0.000 1 0 00 0 0 0 0 1 0

0.000 1.000 0 0 0 0 0-1.000 0.000 0 0 0 0 1

0 0 1 0 0 0 00 0 0 0.000 1 0 00 0 0 -1.000 0 0 00 0 0 0 0 1 0

0.805 -0.593 0 0 0 0 0.805055840.593 0.805 0 0 0 0 -0.59319904

0 0 1 0 0 0 00 0 0 0.805 -0.59319904 0 00 0 0 0.593 0.80505584 0 00 0 0 0 0 1 0

0.000 1.000 0 0 0 0 0-1.000 0.000 0 0 0 0 1

0 0 1 0 0 0 00 0 0 0.000 1 0 00 0 0 -1.000 0 0 00 0 0 0 0 1 0

1.000 0.000 0 0 0 0 10.000 1.000 0 0 0 0 0

0 0 1 0 0 0 00 0 0 1.000 0 0 00 0 0 0.000 1 0 00 0 0 0 0 1 0

0.000 1.000 0 0 0 0 0-1.000 0.000 0 0 0 0 1

0 0 1 0 0 0 00 0 0 0.000 1 0 00 0 0 -1.000 0 0 00 0 0 0 0 1 0

1.000 0.000 0 0 0 0 10.000 1.000 0 0 0 0 0

0 0 1 0 0 0 00 0 0 1.000 0 0 0

0 0 0 0.000 1 0 00 0 0 0 0 1 0

14 15 19 20 21 25 26 270 0 0 0 0 0 0 00 0 0 0 0 0 0 00 0 0 0 0 0 0 0

291504.208 7838.294149 0 0 0 0 0 0-220391.356 10637.68492 0 0 0 0 0 0-10637.6849 20790.1421 0 0 0 0 0 0-291504.208 5142.260666 -796614.871 0 0 0 0 01040178.75 11460.19335 0 -12108.4264 22097.8783 0 0 011460.1933 119582.157 0 -22097.8783 26885.7519 0 0 0

0 0 2888226.96 0 20612.6403 -2076888.77 0 0-12108.4264 -22097.87827 0 1168977.07 128105.685 0 -214576.518 150203.56322097.8783 26885.75189 20612.6403 128105.685 232438.424 0 -150203.563 70094.996

0 0 -2076888.77 0 0 2076888.77 0 00 0 0 -214576.518 -150203.563 0 214576.518 -150203.5630 0 0 150203.563 70094.996 0 -150203.563 140189.9920 0 0 0 0 0 0 00 0 0 0 0 0 0 00 0 0 0 0 0 0 00 0 0 0 0 0 0 00 0 0 0 0 0 0 00 0 0 0 0 0 0 00 -12980.55481 0 0 0 0 0 0

-807678.966 0 0 0 0 0 0 00 12115.18449 0 0 0 0 0 00 0 -14723.3145 0 -20612.6403 0 0 00 0 0 -942292.127 0 0 0 00 0 20612.6403 0 19238.4643 0 0 0

P1 P2 Ni Nfubicación Valor ubicación Ai Vi Mi Af Vf

0 0 0 0 0 0 0 0

-1 0 0 0 0 14723.3145 00 0 0 0 0 0 942292.12730 1 0 0 0 -20612.6403 00 0 0 -1 0 -14723.3145 00 0 1 0 0 0 -942292.12730 0 0 0 1 -20612.6403 0

0 0 0 0 0 1038444.39 01 0 0 0 0 0 26822.06480 1 0 0 0 0 37550.890710 0 1 0 0 -1038444.39 00 0 0 1 0 0 -26822.06480 0 0 0 1 0 37550.89071

TT10 11

-1 0 0 0 0 9271.82487 00 0 0 0 0 0 807678.9662

0 1 0 0 0 -12980.5548 00 0 0 -1 0 -9271.82487 00 0 1 0 0 0 -807678.96620 0 0 0 1 -12980.5548 0

0.59319904 0 0 0 0 401211.636 -291504.20840.80505584 0 0 0 0 -291504.208 220391.3561

0 1 0 0 0 7838.29415 10637.684920 0 0.80505584 0.59319904 0 -401211.636 291504.20840 0 -0.59319904 0.80505584 0 291504.208 -220391.35610 0 0 0 1 7838.29415 10637.68492

TT16 17

-1 0 0 0 0 9271.82487 00 0 0 0 0 0 807678.96620 1 0 0 0 -12980.5548 00 0 0 -1 0 -9271.82487 00 0 1 0 0 0 -807678.96620 0 0 0 1 -12980.5548 0

TT13 14

0 0 0 0 0 796614.871 01 0 0 0 0 0 12108.426450 1 0 0 0 0 22097.878270 0 1 0 0 -796614.871 00 0 0 1 0 0 -12108.426450 0 0 0 1 0 22097.87827

TT22 23

-1 0 0 0 0 14723.3145 00 0 0 0 0 0 942292.12730 1 0 0 0 -20612.6403 00 0 0 -1 0 -14723.3145 00 0 1 0 0 0 -942292.12730 0 0 0 1 -20612.6403 0

TT19 20

0 0 0 0 0 2076888.77 01 0 0 0 0 0 214576.51840 1 0 0 0 0 150203.56290 0 1 0 0 -2076888.77 0

0 0 0 1 0 0 -214576.51840 0 0 0 1 0 150203.5629

1 2 3 10 11 12 16 17-14723.3145 0 20612.6403 0 0 0 0 0

0 -942292.127 0 0 0 0 0 0-20612.6403 0 19238.4643 0 0 0 0 0

0 0 0 -9271.82487 0 12980.5548 0 00 0 0 0 -807678.966 0 0 00 0 0 -12980.5548 0 12115.1845 0 00 0 0 0 0 0 -9271.82487 00 0 0 0 0 0 0 -807678.96620 0 0 0 0 0 -12980.5548 00 0 0 0 0 0 0 00 0 0 0 0 0 0 00 0 0 0 0 0 0 00 0 0 0 0 0 0 00 0 0 0 0 0 0 00 0 0 0 0 0 0 0

14723.3145 0 -20612.6403 0 0 0 0 00 942292.127 0 0 0 0 0 0

-20612.6403 0 38476.9285 0 0 0 0 00 0 0 9271.82487 0 -12980.5548 0 00 0 0 0 807678.966 0 0 00 0 0 -12980.5548 0 24230.369 0 00 0 0 0 0 0 9271.82487 00 0 0 0 0 0 0 807678.96620 0 0 0 0 0 -12980.5548 00 0 0 0 0 0 0 00 0 0 0 0 0 0 00 0 0 0 0 0 0 0

UD (M)U4 0.027127187U5 0.000237249U6 -0.004774479U7 0.026454053U8 0.000194752U9 -0.001209342

U13 0.02487811U14 -0.000291535U15 -0.001482425U19 0.024554227

U20 -0.000154292U21 -0.005021641U25 0.024554227U26 -0.00718459U27 -0.005021641

KG Fem local3 4 5 6

-20612.6403 -14723.3145 0 -20612.6403 1 00 0 -942292.127 0 2 0

38476.9285 20612.6403 0 19238.4643 3 020612.6403 14723.3145 0 20612.6403 4 0

0 0 942292.127 0 5 019238.4643 20612.6403 0 38476.9285 6 0

KG6 7 8 9

0 -1038444.39 0 0 4 037550.8907 0 -26822.0648 37550.8907 5 0

70094.996 0 -37550.8907 35047.498 6 00 1038444.39 0 0 7 0

-37550.8907 0 26822.0648 -37550.8907 8 035047.498 0 -37550.8907 70094.996 9 0

KG12 7 8 9

-12980.5548 -9271.82487 0 -12980.5548 10 00 0 -807678.966 0 11 0

24230.369 12980.5548 0 12115.1845 12 012980.5548 9271.82487 0 12980.5548 7 0

0 0 807678.966 0 8 012115.1845 12980.5548 0 24230.369 9 0

KG9 13 14 15

7838.29415 -401211.636 291504.208 7838.29415 7 010637.6849 291504.208 -220391.356 10637.6849 8 041580.2842 -7838.29415 -10637.6849 20790.1421 9 0

-7838.29415 401211.636 -291504.208 -7838.29415 13 0-10637.6849 -291504.208 220391.356 -10637.6849 14 020790.1421 -7838.29415 -10637.6849 41580.2842 15 0

KG18 13 14 15

-12980.5548 -9271.82487 0 -12980.5548 16 00 0 -807678.966 0 17 0

24230.369 12980.5548 0 12115.1845 18 012980.5548 9271.82487 0 12980.5548 13 0

0 0 807678.966 0 14 012115.1845 12980.5548 0 24230.369 15 0

KG15 19 20 21

0 -796614.871 0 0 13 022097.8783 0 -12108.4264 22097.8783 14 053771.5038 0 -22097.8783 26885.7519 15 0

0 796614.871 0 0 19 0-22097.8783 0 12108.4264 -22097.8783 20 026885.7519 0 -22097.8783 53771.5038 21 0

KG24 19 20 21

-20612.6403 -14723.3145 0 -20612.6403 22 00 0 -942292.127 0 23 0

38476.9285 20612.6403 0 19238.4643 24 020612.6403 14723.3145 0 20612.6403 19 0

0 0 942292.127 0 20 019238.4643 20612.6403 0 38476.9285 21 0

KG21 25 26 27

0 -2076888.77 0 0 19 0150203.563 0 -214576.518 150203.563 20 0140189.992 0 -150203.563 70094.996 21 0

0 2076888.77 0 0 25 0

-150203.563 0 214576.518 -150203.563 26 070094.996 0 -150203.563 140189.992 27 0

18 22 23 24 ud/uc0 0 0 0 4 U40 0 0 0 5 U50 0 0 0 6 U60 0 0 0 7 U70 0 0 0 8 U80 0 0 0 9 U9

12980.5548 0 0 0 13 U130 0 0 0 14 U14

12115.1845 0 0 0 15 U150 -14723.3145 0 20612.6403 19 U190 0 -942292.127 0 20 U200 -20612.6403 0 19238.4643 21 U210 0 0 0 25 U250 0 0 0 26 U26 =0 0 0 0 27 U270 0 0 0 1 00 0 0 0 2 00 0 0 0 3 00 0 0 0 10 00 0 0 0 11 00 0 0 0 12 0

-12980.5548 0 0 0 16 00 0 0 0 17 0

24230.369 0 0 0 18 00 14723.3145 0 -20612.6403 22 00 0 942292.127 0 23 00 -20612.6403 0 38476.9285 24 0

femlocal FEXT F EQUIV0 -1000 10000 0 00 0 00 0 00 0 00 0 00 0 00 0 00 0 00 0 00 0 00 0 00 0 00 0 00 0 00 -R1 R10 -R2 R20 -R3 R30 -R10 R100 -R11 R110 -R12 R120 -R16 R160 -R17 R170 -R18 R180 -R22 R220 -R23 R230 -R24 R24

coordenadas DESPLAZAMIENTOS (Ud) FUERZA EN NUDOnudo X Y UX UY UZ X YA 0 0 0 0 0 R1 R2B 0 3 U4 U5 U6 0 0C 0 5.8 U7 U8 U9 0 0D 4.5 5.8 U10 U11 U12 0 0E 4.5 3 U13 U14 U15 0 0F 4.5 0 0 0 0 R16 R17

BARRA Ni Nf Dx Dy L Cosx Cosy1 A B 0 3 3.00 0.000 1.0002 B C 0 2.8 2.80 0.000 1.0003 C D 4.5 0 4.50 1.000 0.0004 B E 4.5 0 4.50 1.000 0.0005 E D 0 2.8 2.80 0.000 1.0006 F E 0 3 3.00 0.000 1.000

861524.231 0 0 -861524.231 0 00 15315.9863 22973.9795 0 -15315.9863 22973.979484

1 0 22973.9795 45947.959 0 -22973.9795 22973.979484-861524.231 0 0 861524.231 0 0

0 -15315.9863 -22973.9795 0 15315.9863 -22973.979480 22973.9795 22973.9795 0 -22973.9795 45947.958968

923061.676 0 0 -923061.676 0 00 18837.9934 26373.1907 0 -18837.9934 26373.190734

2 0 26373.1907 49229.956 0 -26373.1907 24614.978019-923061.676 0 0 923061.676 0 0

0 -18837.9934 -26373.1907 0 18837.9934 -26373.190730 26373.1907 24614.978 0 -26373.1907 49229.956037

646143.173 0 0 -646143.173 0 00 6461.43173 14538.2214 0 -6461.43173 14538.221392

3 0 14538.2214 43614.6642 0 -14538.2214 21807.332088-646143.173 0 0 646143.173 0 0

0 -6461.43173 -14538.2214 0 6461.43173 -14538.221390 14538.2214 21807.3321 0 -14538.2214 43614.664177

646143.173 0 0 -646143.173 0 00 6461.43173 14538.2214 0 -6461.43173 14538.221392

4 0 14538.2214 43614.6642 0 -14538.2214 21807.332088-646143.173 0 0 646143.173 0 0

0 -6461.43173 -14538.2214 0 6461.43173 -14538.221390 14538.2214 21807.3321 0 -14538.2214 43614.664177

692296.257 0 0 -692296.257 0 00 7947.27846 11126.1898 0 -7947.27846 11126.189841

5 0 11126.1898 20768.8877 0 -11126.1898 10384.443852-692296.257 0 0 692296.257 0 0

0 -7947.27846 -11126.1898 0 7947.27846 -11126.189840 11126.1898 10384.4439 0 -11126.1898 20768.887703

646143.173 0 0 -646143.173 0 00 6461.43173 9692.14759 0 -6461.43173 9692.1475948

6 0 9692.14759 19384.2952 0 -9692.14759 9692.1475948-646143.173 0 0 646143.173 0 0

0 -6461.43173 -9692.14759 0 6461.43173 -9692.1475950 9692.14759 9692.14759 0 -9692.14759 19384.29519

4 5 6680297.153 0 -3399.21125

0 1791047.3381 14538.2214-3399.21125 14538.221392 138792.579-18837.9934 0 26373.1907

0 -923061.6757 0-26373.1907 0 24614.978

0 0 00 0 00 0 0

-646143.173 0 0

0 -6461.43173 -14538.22140 14538.221392 21807.3321

FUERZA EN NUDO F´C 21 Mp CZ E 21538105.8 VIG 30*45

R30 COL30*40 COL30*300 B0 VIG 30*450

R18 COL30*40 COL30*30

A4,5 MTS

Cargas en barras

b h A I w frx wy Valor0.3 0.4 0.12 0.0016 00.3 0.4 0.12 0.00160.3 0.45 0.135 0.002278130.3 0.45 0.135 0.002278130.3 0.3 0.09 0.000675 00.3 0.3 0.09 0.000675

0.000 1.000 0 0 0 0 0-1 0 0 0 0 0 10 0 1 0 0 0 00 0 0 0.000 1 0 00 0 0 -1.000 0 0 00 0 0 0 0 1 0

0.000 1.000 0 0 0 0 0-1.000 0.000 0 0 0 0 1

0 0 1 0 0 0 00 0 0 0.000 1 0 00 0 0 -1.000 0 0 00 0 0 0 0 1 0

1.000 0.000 0 0 0 0 10.000 1.000 0 0 0 0 0

0 0 1 0 0 0 00 0 0 1.000 0 0 00 0 0 0.000 1 0 00 0 0 0 0 1 0

1.000 0.000 0 0 0 0 10.000 1.000 0 0 0 0 0

0 0 1 0 0 0 00 0 0 1.000 0 0 00 0 0 0.000 1 0 00 0 0 0 0 1 0

0.000 1.000 0 0 0 0 0-1.000 0.000 0 0 0 0 1

0 0 1 0 0 0 00 0 0 0.000 1 0 00 0 0 -1.000 0 0 00 0 0 0 0 1 0

0.000 1.000 0 0 0 0 0-1.000 0.000 0 0 0 0 1

0 0 1 0 0 0 00 0 0 0.000 1 0 00 0 0 -1.000 0 0 00 0 0 0 0 1 0

7 8 9 10 11 12 13 14-18837.9934 0 -26373.1907 0 0 0 -646143.173 0

0 -923061.676 0 0 0 0 0 -6461.431729926373.1907 0 24614.978 0 0 0 0 -14538.221392664981.166 0 26373.1907 -646143.173 0 0 0 0

0 929523.107 14538.2214 0 -6461.43173 14538.2214 0 026373.1907 14538.2214 92844.6202 0 -14538.2214 21807.3321 0 0

-646143.173 0 0 654090.451 0 11126.1898 -7947.27846 00 -6461.43173 -14538.2214 0 698757.689 -14538.2214 0 -692296.256770 14538.2214 21807.3321 11126.1898 -14538.2214 64383.5519 -11126.1898 00 0 0 -7947.27846 0 -11126.1898 660551.883 0

0 0 0 0 -692296.257 0 0 1344900.86150 0 0 11126.1898 0 10384.4439 -1434.04225 -14538.221392

UD (M)U4 0.1395067298U5 0.0013624473U6 -0.0368256433U7 0.2431152182U8 0.0017676629U9 -0.0180884362

U10 0.2423468382U11 -0.0023568838U12 -0.0094726677U13 0.1391772905U14 -0.0018165964U15 -0.0195969109

2,8 MTSE

0 0 0 0 0 0 0 0

-1 0 0 0 0 15315.9863 00 0 0 0 0 0 861524.2310 1 0 0 0 -22973.9795 00 0 0 -1 0 -15315.9863 00 0 1 0 0 0 -861524.2310 0 0 0 1 -22973.9795 0

-1 0 0 0 0 18837.9934 00 0 0 0 0 0 923061.6760 1 0 0 0 -26373.1907 00 0 0 -1 0 -18837.9934 00 0 1 0 0 0 -923061.6760 0 0 0 1 -26373.1907 0

0 0 0 0 0 646143.173 01 0 0 0 0 0 6461.43173

0 1 0 0 0 0 14538.22140 0 1 0 0 -646143.173 00 0 0 1 0 0 -6461.431730 0 0 0 1 0 14538.2214

0 0 0 0 0 646143.173 01 0 0 0 0 0 6461.431730 1 0 0 0 0 14538.22140 0 1 0 0 -646143.173 00 0 0 1 0 0 -6461.431730 0 0 0 1 0 14538.2214

TT13 14

-1 0 0 0 0 7947.27846 00 0 0 0 0 0 692296.2570 1 0 0 0 -11126.1898 00 0 0 -1 0 -7947.27846 00 0 1 0 0 0 -692296.2570 0 0 0 1 -11126.1898 0

TT16 17

-1 0 0 0 0 6461.43173 00 0 0 0 0 0 646143.1730 1 0 0 0 -9692.14759 00 0 0 -1 0 -6461.43173 00 0 1 0 0 0 -646143.1730 0 0 0 1 -9692.14759 0

15 1 2 3 16 17 180 -15315.9863 0 22973.9795 0 0 0 4

14538.2214 0 -861524.231 0 0 0 0 521807.3321 -22973.9795 0 22973.9795 0 0 0 6

0 0 0 0 0 0 0 70 0 0 0 0 0 0 80 0 0 0 0 0 0 9

11126.1898 0 0 0 0 0 0 100 0 0 0 0 0 0 11

10384.4439 0 0 0 0 0 0 12-1434.04225 0 0 0 -6461.43173 0 9692.14759 13

-14538.2214 0 0 0 0 -646143.173 0 1483767.8471 0 0 0 -9692.14759 0 9692.14759 15

161718

KG3 4 5 6

-22973.9795 -15315.9863 0 -22973.9795 10 0 -861524.231 0 2

45947.959 22973.9795 0 22973.9795 322973.9795 15315.9863 0 22973.9795 4

0 0 861524.231 0 522973.9795 22973.9795 0 45947.959 6

KG6 7 8 9

-26373.1907 -18837.9934 0 -26373.1907 40 0 -923061.676 0 5

49229.956 26373.1907 0 24614.978 626373.1907 18837.9934 0 26373.1907 7

0 0 923061.676 0 824614.978 26373.1907 0 49229.956 9

KG9 10 11 12

0 -646143.173 0 0 714538.2214 0 -6461.43173 14538.2214 8

43614.6642 0 -14538.2214 21807.3321 90 646143.173 0 0 10

-14538.2214 0 6461.43173 -14538.2214 1121807.3321 0 -14538.2214 43614.6642 12

KG6 13 14 15

0 -646143.173 0 0 414538.2214 0 -6461.43173 14538.2214 5

43614.6642 0 -14538.2214 21807.3321 60 646143.173 0 0 13

-14538.2214 0 6461.43173 -14538.2214 1421807.3321 0 -14538.2214 43614.6642 15

KG15 10 11 12

-11126.1898 -7947.27846 0 -11126.1898 130 0 -692296.257 0 14

20768.8877 11126.1898 0 10384.4439 1511126.1898 7947.27846 0 11126.1898 10

0 0 692296.257 0 1110384.4439 11126.1898 0 20768.8877 12

KG18 13 14 15

-9692.14759 -6461.43173 0 -9692.14759 160 0 -646143.173 0 17

19384.2952 9692.14759 0 9692.14759 189692.14759 6461.43173 0 9692.14759 13

0 0 646143.173 0 149692.14759 9692.14759 0 19384.2952 15

ud/uc femlocal FEXTU4 0 -1000U5 0 0U6 0 0U7 0 -1000U8 0 0U9 0 0

U10 0 0U11 0 0U12 0 0U13 0 0

U14 0 0U15 0 0

0 0 -R10 0 -R20 0 -R30 0 -R160 0 -R170 0 -R18

coordenadas DESPLAZAMIENTOS (Ud) FUERZA EN NUDOnudo X Y UX UY UZ X YA 0 0 0 0 0 R1 R2B 0 3 U4 U5 U6 0 0C 0 5.8 U7 U8 U9 0 0D 4.5 5.8 U10 U11 U12 0 0E 4.5 3 U13 U14 U15 0 0F 4.5 0 0 0 0 R16 R17G 8 0 0 0 0 R19 R20H 8 3 U22 U23 U24 0 0I 8 5.8 U25 U26 U27 0 0

BARRA Ni Nf Dx Dy L Cosx Cosy1 A B 0 3 3.00 0.000 1.0002 B C 0 2.8 2.80 0.000 1.0003 C D 4.5 0 4.50 1.000 0.0004 B E 4.5 0 4.50 1.000 0.0005 E D 0 2.8 2.80 0.000 1.0006 F E 0 3 3.00 0.000 1.0007 D I 3.5 0 3.50 1.000 0.0008 E H 3.5 0 3.50 1.000 0.0009 H I 0 2.8 2.80 0.000 1.000

10 G H 0 3 3.00 0.000 1.000

861524.231 0 0 -861524.231 0 00 15315.9863 22973.9795 0 -15315.9863 22973.9795

1 0 22973.9795 45947.959 0 -22973.9795 22973.9795-861524.231 0 0 861524.231 0 0

0 -15315.9863 -22973.9795 0 15315.9863 -22973.97950 22973.9795 22973.9795 0 -22973.9795 45947.959

923061.676 0 0 -923061.676 0 00 18837.9934 26373.1907 0 -18837.9934 26373.1907

2 0 26373.1907 49229.956 0 -26373.1907 24614.978-923061.676 0 0 923061.676 0 0

0 -18837.9934 -26373.1907 0 18837.9934 -26373.19070 26373.1907 24614.978 0 -26373.1907 49229.956

646143.173 0 0 -646143.173 0 00 6461.43173 14538.2214 0 -6461.43173 14538.2214

3 0 14538.2214 43614.6642 0 -14538.2214 21807.3321-646143.173 0 0 646143.173 0 0

0 -6461.43173 -14538.2214 0 6461.43173 -14538.22140 14538.2214 21807.3321 0 -14538.2214 43614.6642

646143.173 0 0 -646143.173 0 00 6461.43173 14538.2214 0 -6461.43173 14538.2214

4 0 14538.2214 43614.6642 0 -14538.2214 21807.3321-646143.173 0 0 646143.173 0 0

0 -6461.43173 -14538.2214 0 6461.43173 -14538.22140 14538.2214 21807.3321 0 -14538.2214 43614.6642

692296.257 0 0 -692296.257 0 00 7947.27846 11126.1898 0 -7947.27846 11126.1898

5 0 11126.1898 20768.8877 0 -11126.1898 10384.4439-692296.257 0 0 692296.257 0 0

0 -7947.27846 -11126.1898 0 7947.27846 -11126.18980 11126.1898 10384.4439 0 -11126.1898 20768.8877

646143.173 0 0 -646143.173 0 00 6461.43173 9692.14759 0 -6461.43173 9692.14759

6 0 9692.14759 19384.2952 0 -9692.14759 9692.14759-646143.173 0 0 646143.173 0 0

0 -6461.43173 -9692.14759 0 6461.43173 -9692.147590 9692.14759 9692.14759 0 -9692.14759 19384.2952

830755.508 0 0 -830755.508 0 00 13732.8972 24032.5701 0 -13732.8972 24032.5701

7 0 24032.5701 56075.9968 0 -24032.5701 28037.9984-830755.508 0 0 830755.508 0 0

0 -13732.8972 -24032.5701 0 13732.8972 -24032.57010 24032.5701 28037.9984 0 -24032.5701 56075.9968

830755.508 0 0 -830755.508 0 00 13732.8972 24032.5701 0 -13732.8972 24032.5701

8 0 24032.5701 56075.9968 0 -24032.5701 28037.9984-830755.508 0 0 830755.508 0 0

0 -13732.8972 -24032.5701 0 13732.8972 -24032.57010 24032.5701 28037.9984 0 -24032.5701 56075.9968

923061.676 0 0 -923061.676 0 00 18837.9934 26373.1907 0 -18837.9934 26373.1907

9 0 26373.1907 49229.956 0 -26373.1907 24614.978-923061.676 0 0 923061.676 0 0

0 -18837.9934 -26373.1907 0 18837.9934 -26373.19070 26373.1907 24614.978 0 -26373.1907 49229.956

861524.231 0 0 -861524.231 0 00 15315.9863 22973.9795 0 -15315.9863 22973.9795

10 0 22973.9795 45947.959 0 -22973.9795 22973.9795-861524.231 0 0 861524.231 0 0

0 -15315.9863 -22973.9795 0 15315.9863 -22973.97950 22973.9795 22973.9795 0 -22973.9795 45947.959

4 5 6 7680297.153 0 -3399.21125 -18837.9934

0 1791047.34 14538.2214 0-3399.21125 14538.2214 138792.579 26373.1907-18837.9934 0 26373.1907 664981.166

0 -923061.676 0 0-26373.1907 0 24614.978 26373.1907

0 0 0 -646143.1730 0 0 00 0 0 0

-646143.173 0 0 00 -6461.43173 -14538.2214 00 14538.2214 21807.3321 00 0 0 00 0 0 00 0 0 00 0 0 00 0 0 00 0 0 0

FUERZA EN NUDO F´C 21 Mp CZ E 21538105.8 VIG 30*45 3

R3 50 COL30*40 2 COL30*300 B 40 VIG 30*450

R18 COL30*40 COL30*30R21 1 6

0 A0 4,5 MTS

Cargas en barras

b h A I w frx wy Valor0.3 0.4 0.12 0.0016 00.3 0.4 0.12 0.00160.3 0.45 0.135 0.002278130.3 0.45 0.135 0.002278130.3 0.3 0.09 0.000675 00.3 0.3 0.09 0.0006750.3 0.45 0.135 0.002278130.3 0.45 0.135 0.002278130.3 0.4 0.12 0.00160.3 0.4 0.12 0.0016

0.000 1.000 0 0 0 0 0-1 0 0 0 0 0 10 0 1 0 0 0 00 0 0 0.000 1 0 00 0 0 -1.000 0 0 00 0 0 0 0 1 0

0.000 1.000 0 0 0 0 0-1.000 0.000 0 0 0 0 1

0 0 1 0 0 0 00 0 0 0.000 1 0 00 0 0 -1.000 0 0 00 0 0 0 0 1 0

1.000 0.000 0 0 0 0 10.000 1.000 0 0 0 0 0

0 0 1 0 0 0 00 0 0 1.000 0 0 00 0 0 0.000 1 0 00 0 0 0 0 1 0

1.000 0.000 0 0 0 0 10.000 1.000 0 0 0 0 0

0 0 1 0 0 0 00 0 0 1.000 0 0 00 0 0 0.000 1 0 00 0 0 0 0 1 0

0.000 1.000 0 0 0 0 0-1.000 0.000 0 0 0 0 1

0 0 1 0 0 0 00 0 0 0.000 1 0 00 0 0 -1.000 0 0 00 0 0 0 0 1 0

0.000 1.000 0 0 0 0 0-1.000 0.000 0 0 0 0 1

0 0 1 0 0 0 00 0 0 0.000 1 0 00 0 0 -1.000 0 0 00 0 0 0 0 1 0

1.000 0.000 0 0 0 0 10.000 1.000 0 0 0 0 0

0 0 1 0 0 0 00 0 0 1.000 0 0 00 0 0 0.000 1 0 00 0 0 0 0 1 0

1.000 0.000 0 0 0 0 10.000 1.000 0 0 0 0 0

0 0 1 0 0 0 00 0 0 1.000 0 0 00 0 0 0.000 1 0 00 0 0 0 0 1 0

0.000 1.000 0 0 0 0 0-1.000 0.000 0 0 0 0 1

0 0 1 0 0 0 00 0 0 0.000 1 0 00 0 0 -1.000 0 0 00 0 0 0 0 1 0

0.000 1.000 0 0 0 0 0-1.000 0.000 0 0 0 0 1

0 0 1 0 0 0 00 0 0 0.000 1 0 00 0 0 -1.000 0 0 00 0 0 0 0 1 0

8 9 10 11 12 13 14 150 -26373.1907 0 0 0 -646143.173 0 0

-923061.676 0 0 0 0 0 -6461.43173 14538.22140 24614.978 0 0 0 0 -14538.2214 21807.33210 26373.1907 -646143.173 0 0 0 0 0

929523.107 14538.2214 0 -6461.43173 14538.2214 0 0 014538.2214 92844.6202 0 -14538.2214 21807.3321 0 0 0

0 0 1484845.96 0 11126.1898 -7947.27846 0 11126.1898-6461.43173 -14538.2214 0 712490.586 9494.34866 0 -692296.257 014538.2214 21807.3321 11126.1898 9494.34866 120459.549 -11126.1898 0 10384.4439

0 0 -7947.27846 0 -11126.1898 1491307.39 0 -1434.042250 0 0 -692296.257 0 0 1358633.76 9494.348660 0 11126.1898 0 10384.4439 -1434.04225 9494.34866 139843.8440 0 0 0 0 -830755.508 0 00 0 0 0 0 0 -13732.8972 -24032.57010 0 0 0 0 0 24032.5701 28037.99840 0 -830755.508 0 0 0 0 00 0 0 -13732.8972 -24032.5701 0 0 00 0 0 24032.5701 28037.9984 0 0 0

COL30*40 92,8 MTS

10COL30*40 3MTS

F G3,5MTS

0 0 0 0 0 0 0 0

-1 0 0 0 0 15315.9863 00 0 0 0 0 0 861524.2310 1 0 0 0 -22973.9795 00 0 0 -1 0 -15315.9863 00 0 1 0 0 0 -861524.2310 0 0 0 1 -22973.9795 0

-1 0 0 0 0 18837.9934 00 0 0 0 0 0 923061.6760 1 0 0 0 -26373.1907 00 0 0 -1 0 -18837.9934 00 0 1 0 0 0 -923061.6760 0 0 0 1 -26373.1907 0

0 0 0 0 0 646143.173 01 0 0 0 0 0 6461.431730 1 0 0 0 0 14538.22140 0 1 0 0 -646143.173 00 0 0 1 0 0 -6461.431730 0 0 0 1 0 14538.2214

TT13 14

-1 0 0 0 0 7947.27846 00 0 0 0 0 0 692296.2570 1 0 0 0 -11126.1898 00 0 0 -1 0 -7947.27846 00 0 1 0 0 0 -692296.2570 0 0 0 1 -11126.1898 0

TT16 17

-1 0 0 0 0 6461.43173 00 0 0 0 0 0 646143.1730 1 0 0 0 -9692.14759 00 0 0 -1 0 -6461.43173 00 0 1 0 0 0 -646143.1730 0 0 0 1 -9692.14759 0

TT10 11

0 0 0 0 0 830755.508 01 0 0 0 0 0 13732.89720 1 0 0 0 0 24032.57010 0 1 0 0 -830755.508 00 0 0 1 0 0 -13732.89720 0 0 0 1 0 24032.5701

TT13 14

0 0 0 0 0 830755.508 01 0 0 0 0 0 13732.89720 1 0 0 0 0 24032.57010 0 1 0 0 -830755.508 00 0 0 1 0 0 -13732.89720 0 0 0 1 0 24032.5701

TT22 23

-1 0 0 0 0 18837.9934 00 0 0 0 0 0 923061.6760 1 0 0 0 -26373.1907 00 0 0 -1 0 -18837.9934 00 0 1 0 0 0 -923061.6760 0 0 0 1 -26373.1907 0

TT19 20

-1 0 0 0 0 15315.9863 00 0 0 0 0 0 861524.2310 1 0 0 0 -22973.9795 00 0 0 -1 0 -15315.9863 00 0 1 0 0 0 -861524.2310 0 0 0 1 -22973.9795 0

22 23 24 25 26 27 1 20 0 0 0 0 0 -15315.9863 00 0 0 0 0 0 0 -861524.2310 0 0 0 0 0 -22973.9795 00 0 0 0 0 0 0 00 0 0 0 0 0 0 00 0 0 0 0 0 0 00 0 0 -830755.508 0 0 0 00 0 0 0 -13732.8972 24032.570057 0 00 0 0 0 -24032.5701 28037.998399 0 0

-830755.508 0 0 0 0 0 0 00 -13732.8972 24032.5701 0 0 0 0 00 -24032.5701 28037.9984 0 0 0 0 0

864909.488 0 -3399.21125 -18837.9934 0 -26373.190734 0 00 1798318.8 -24032.5701 0 -923061.676 0 0 0

-3399.21125 -24032.5701 151253.912 26373.1907 0 24614.978019 0 0-18837.9934 0 26373.1907 849593.502 0 26373.190734 0 0

0 -923061.676 0 0 936794.573 -24032.570057 0 0-26373.1907 0 24614.978 26373.1907 -24032.5701 105305.95284 0 0

UD (M)U4 0.0823722209U5 0.0006350245U6 -0.022781406U7 0.1429180703U8 0.0008253815U9 -0.0108950246

U10 0.1417610626U11 0.0005165931U12 -0.0013283717U13 0.0815764605U14 0.0004016515U15 -0.0028672417U22 0.0810390139U23 -0.0009362632U24 -0.0208381697U25 0.1413807221U26 -0.0012128264U27

KG3 4 5 6

-22973.9795 -15315.9863 0 -22973.9795 10 0 -861524.231 0 2

45947.959 22973.9795 0 22973.9795 322973.9795 15315.9863 0 22973.9795 4

0 0 861524.231 0 522973.9795 22973.9795 0 45947.959 6

KG6 7 8 9

-26373.1907 -18837.9934 0 -26373.1907 40 0 -923061.676 0 5

49229.956 26373.1907 0 24614.978 626373.1907 18837.9934 0 26373.1907 7

0 0 923061.676 0 824614.978 26373.1907 0 49229.956 9

KG9 10 11 12

0 -646143.173 0 0 714538.2214 0 -6461.43173 14538.2214 8

43614.6642 0 -14538.2214 21807.3321 90 646143.173 0 0 10

-14538.2214 0 6461.43173 -14538.2214 1121807.3321 0 -14538.2214 43614.6642 12

KG6 13 14 15

0 -646143.173 0 0 414538.2214 0 -6461.43173 14538.2214 5

43614.6642 0 -14538.2214 21807.3321 60 646143.173 0 0 13

-14538.2214 0 6461.43173 -14538.2214 1421807.3321 0 -14538.2214 43614.6642 15

KG15 10 11 12

-11126.1898 -7947.27846 0 -11126.1898 130 0 -692296.257 0 14

20768.8877 11126.1898 0 10384.4439 1511126.1898 7947.27846 0 11126.1898 10

0 0 692296.257 0 1110384.4439 11126.1898 0 20768.8877 12

KG18 13 14 15

-9692.14759 -6461.43173 0 -9692.14759 160 0 -646143.173 0 17

19384.2952 9692.14759 0 9692.14759 189692.14759 6461.43173 0 9692.14759 13

0 0 646143.173 0 149692.14759 9692.14759 0 19384.2952 15

KG12 25 26 27

0 -830755.508 0 0 1024032.5701 0 -13732.8972 24032.5701 11

56075.9968 0 -24032.5701 28037.9984 120 830755.508 0 0 25

-24032.5701 0 13732.8972 -24032.5701 2628037.9984 0 -24032.5701 56075.9968 27

KG15 22 23 24

0 -830755.508 0 0 1324032.5701 0 -13732.8972 24032.5701 14

56075.9968 0 -24032.5701 28037.9984 150 830755.508 0 0 22

-24032.5701 0 13732.8972 -24032.5701 2328037.9984 0 -24032.5701 56075.9968 24

KG24 25 26 27

-26373.1907 -18837.9934 0 -26373.1907 220 0 -923061.676 0 23

49229.956 26373.1907 0 24614.978 2426373.1907 18837.9934 0 26373.1907 25

0 0 923061.676 0 2624614.978 26373.1907 0 49229.956 27

KG21 22 23 24

-22973.9795 -15315.9863 0 -22973.9795 190 0 -861524.231 0 20

45947.959 22973.9795 0 22973.9795 2122973.9795 15315.9863 0 22973.9795 22

0 0 861524.231 0 2322973.9795 22973.9795 0 45947.959 24

3 16 17 18 19 20 2122973.9795 0 0 0 0 0 0 4

0 0 0 0 0 0 0 522973.9795 0 0 0 0 0 0 6

0 0 0 0 0 0 0 70 0 0 0 0 0 0 80 0 0 0 0 0 0 90 0 0 0 0 0 0 100 0 0 0 0 0 0 110 0 0 0 0 0 0 120 -6461.43173 0 9692.14759 0 0 0 130 0 -646143.173 0 0 0 0 140 -9692.14759 0 9692.14759 0 0 0 150 0 0 0 -15315.9863 0 22973.9795 220 0 0 0 0 -861524.231 0 230 0 0 0 -22973.9795 0 22973.9795 240 0 0 0 0 0 0 250 0 0 0 0 0 0 260 0 0 0 0 0 0 27

161718192021

ud/uc femlocal FEXT FEQUIU4 0 -1000 1000U5 0 0 0U6 0 0 0U7 0 -1000 1000U8 0 0 0U9 0 0 0

U10 0 0 0U11 0 0 0U12 0 0 0U13 0 0 0U14 0 0 0U15 0 0 0U22 0 0 0U23 0 0 0U24 0 0 0U25 0 0 0U26 0 0 0U27 0 0 0

0 0 -R1 R1

0 0 -R2 R20 0 -R3 R30 0 -R16 R160 0 -R17 R170 0 -R18 R180 0 -R19 R190 0 -R20 R200 0 -R21 R21

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