metodo matricial (2).xlsx

EJE A-A

ancho 2.12 m

Losa (espesor) 20 cm 300 kg/mViga (base x altura ) 25 cm 40 cm 240 kg/m 17 280.0Acabados 100 kg/m2 20 300.0Tabiqueria Movil 250 kg/m2 25 350.0

30 420.010.00 100.00

Carga MuertaPeso propio losa 0.636 Tn/mPeso propio viga 0.240 Tn/mPeso de acabados 0.212 Tn/mPeso de albañileria repartida 0.530 Tn/mPeso muro de albañileria 0.675 Tn/m

CM= 2.293 Tn/m

Carga Viva CARGA ULTIMA 4.11 Tn/mviviendas 250

sobrecarga 0.530 tn/mCV= 0.530 Tn/m

EJE B-B

ancho 4.12 m

Losa (espesor) 20 cm 300 kg/m

Viga (base x altura ) 25 cm 40 cm 240 kg/m 17 280.0Acabados 100 kg/m2 20 300.0Tabiqueria Movil 250 kg/m2 25 350.0

30 420.0

10.00 100.00


CM= 3.188 Tn/m



EJE B-B TRAMO 3-4

ancho 0.80 m



30 420.0

10.00 100.00


CM= 1.339 Tn/m



EJE C-C

ancho 2.26 m



30 420.0

10.00 100.00


CM= 2.288 Tn/m



EJE D-D

ancho 1.46 m



30 420.0

10.00 100.00


CM= 1.864 Tn/m

Carga Viva CARGA ULTIMA 3.23 Tn/m

espesor (cm)

Peso Propio

(kg/cm2)

kg/m2

espesor (cm)

Peso Propio

(kg/cm2)

kg/m2

espesor (cm)

Peso Propio

(kg/cm2)

kg/m2

espesor (cm)

Peso Propio

(kg/cm2)

kg/m2

espesor (cm)

Peso Propio

(kg/cm2)

viviendas 250sobrecarga 0.365 tn/m

CV= 0.365 Tn/m

kg/m2

0.675 Tn

4.11Tn/m 4.11 tn/m2.76 3.5 0.36 2.76

M1E= 2.61 R1E= 5.67DATOS M2E= -2.61 R2E= 5.67

fć= 210 E= 2173706.511928

L= 2.76 I= 0.0013333B= 0.25 4.11 tn/mH= 0.4 3.5

Nudo inicial 1 Nudo final 2 M2E= 4.20 R2E= 7.19M3E= -4.20 R3E= 7.19

v1 Ɵ1 v2 Ɵ21654.221430713 2282.82557 -1654.22143071 2282.825574384 v1

k(1,2)= 2282.825574384 4200.39906 -2282.82557438 2100.199528433 Ɵ1 4.11 tn/m-1654.22143071 -2282.82557 1654.221430713 -2282.82557438 v2 0.362282.825574384 2100.19953 -2282.82557438 4200.399056867 Ɵ2

M3E= 0.04 R3E= 0.74DATOS M4E= -0.04 R4E= 0.74

fć= 210 E= 2173706.511928

L= 3.5 I= 0.0013333B= 0.25H= 0.4

Nudo inicial 2 Nudo final 3M1E= 2.610 R1E= 5.673

v2 Ɵ2 v3 Ɵ3 M2E= 1.587 R2E= 12.868811.1791064922 1419.56344 -811.179106492 1419.563436361 v2 M3E= -4.152 R3E= 7.935

k(2,3)= 1419.563436361 3312.31468 -1419.56343636 1656.157342422 Ɵ2 M4E= -0.044 R4E= 0.740-811.179106492 -1419.56344 811.1791064922 -1419.56343636 v31419.563436361 1656.15734 -1419.56343636 3312.314684843 Ɵ3

DATOSfć= 210 E= 2173706.511928

L= 0.36 I= 0.0013333B= 0.25H= 0.4

Nudo inicial 3 Nudo final 4

v3 Ɵ3 v4 Ɵ4745441.1906476 134179.414 -745441.190648 134179.4143166 v3

k(3,4)= 134179.4143166 32203.0594 -134179.414317 16101.52971799 Ɵ3-745441.190648 -134179.414 745441.1906476 -134179.414317 v4134179.4143166 16101.5297 -134179.414317 32203.05943598 Ɵ4

DETERMINACION DE LOS DEZPLAZAMIENTOS EN LA VIGA CONTINUA Ɵ2 Ɵ3 v4 Ɵ4 -1

Ɵ2

=7512.71374 1656.157342422 0 0

X-1.587

Ɵ3 1656.15734 35515.37 -134179.41 16101.53 4.152v4 0 -134179.41 745441.19 -134179.41 -1.415Ɵ4 0 16101.53 -134179.41 32203.06 0.044

Ɵ2

=-0.000513 rad

Ɵ3 0.00137 radv4 0.00049 tonƟ4 0.00134 rad

Ɵ2 Ɵ3 v4 Ɵ4V1

=2283 0 0 0

X-0.0005

+5.673

V2 -863 1420 0 0 0.00137 12.868V3 -1420 132760 -745441 134179 0.00049 7.935M1 2100 0 0 0 0.00134 2.610

V1

=4.50

V2 15.26V3 8.13 V1 4.5018 ton Ɵ2 -0.0005 radM1 1.53 V2 15.2557 ton Ɵ3 0.0014 rad

V3 8.1336 ton Ɵ4 0.0013 radv4 0.0005 ton M1 1.5319 ton-m

Tn/m2

m4

Tn/m2

m4

Tn/m2

m4

32

32121

3

6.21tn/m 2.21 tn/m 6.21 Tn/m2.76 3.5 1.5 2.76

M1E= 3.94477 R1E= 8.58DATOS DATOS M2E= -3.9448 R2E= 8.58

fć= 210 E= 2173706.51 fć= 210 E= 2173706.51

L= 2.76 I= 0.0013333 L= 3.5 I= 0.0013333B= 0.25 B= 0.25 6.21 Tn/mH= 0.4 H= 0.4 3.5

Nudo inicial 1 Nudo final 2 Nudo inicial 2 Nudo final 3 M2E= 6.34366 R2E= 10.87M3E= -6.3437 R3E= 10.87

v1 Ɵ1 v2 Ɵ2 v2 Ɵ2 v3 Ɵ31654.22143 2282.8255744 -1654.22143 2282.82557 v1 811.179106 1419.5634364 -811.179106 1419.563436361 v2

k(1,2)= 2282.82557 4200.3990569 -2282.82557 2100.19953 Ɵ1 k(2,3)= 1419.56344 3312.3146848 -1419.56344 1656.157342422 Ɵ2 2.21 Tn/m-1654.22143 -2282.825574 1654.22143 -2282.82557 v2 -811.179106 -1419.563436 811.179106 -1419.56343636 v3 1.52282.82557 2100.1995284 -2282.82557 4200.39906 Ɵ2 1419.56344 1656.1573424 -1419.56344 3312.314684843 Ɵ3

DATOS M3E= 0.41524 R3E= 1.66

fć= 210 E= 2173706.51 M4E= -0.4152 R4E= 1.66

L= 1.5 I= 0.0008000B= 0.15H= 0.4


v3 Ɵ3 v4 Ɵ4 M1E= 3.945 R1E= 8.5766182.98741 4637.2405588 -6182.98741 4637.24056 v3 M2E= 2.399 R2E= 19.450

k(3,4)= 4637.24056 4637.2405588 -4637.24056 2318.62028 Ɵ3 M3E= -5.928 R3E= 12.536-6182.98741 -4637.240559 6182.98741 -4637.24056 v4 M4E= -0.415 R4E= 1.6614637.24056 2318.6202794 -4637.24056 4637.24056 Ɵ4

DETERMINACION DE LOS DEZPLAZAMIENTOS EN LA VIGA CONTINUA

Ɵ2 Ɵ3 -1Ɵ2 = 7512.7137417 1656.15734 X -2.399Ɵ3 1656.1573424 7949.55524 5.928

Ɵ2 = -0.0005 radƟ3 0.0009 rad

Ɵ2 Ɵ3V1

=

2282.8255744 0

X

-0.0005

+

8.576V2 -863.262138 1419.56344 0.0009 19.450V3 -1419.563436 3217.67712 12.536V4 0 -4637.24056 1.661M1 2100.1995284 0 3.945M4 0 2318.62028 -0.415

V1

=

7.42V2 21.10 V1 7.42ton Ɵ2 -0.0005 radV3 15.99 V2 21.1ton Ɵ3 0.0009 radV4 -2.29 V3 15.99ton M1 2.88ton-mM1 2.88 V4 -2.29ton M4 1.56ton-mM4 1.56

Tn/m2 Tn/m2

m4 m4

Tn/m2

m4

2 3 41

32

21

34

4.16 tn/m1.5

DATOS

f´c= 210 E= 2173706.5119

L= 1.5 I= 0.0008000B= 0.15H= 0.4


v3 Ɵ3 v4 Ɵ46182.98741 4637.24056 -6182.9874117 4637.24056 v3

k(3,4)= 4637.24056 4637.24056 -4637.2405588 2318.62028 Ɵ3-6182.98741 -4637.24056 6182.9874117 -4637.24056 v44637.24056 2318.62028 -4637.2405588 4637.24056 Ɵ4

M3E= 0.78069375 R3E= 3.122775M4E= -0.78069375 R4E= 3.122775

Tn/m2

m4

43

0.675 Tn

3.23Tn/m 3.23 tn/m2.76 3.5 1.76 2.76

M1E= 2.05 R1E= 4.46DATOS M2E= -2.05 R2E= 4.46

fć= 210 E= 2173706.511928

L= 2.76 I= 0.0013333

B= 0.25 3.23 tn/mH= 0.4 3.5


v1 Ɵ1 v2 Ɵ21654.221430713 2282.82557 -1654.22143071 2282.825574384 v1

k(1,2)= 2282.825574384 4200.39906 -2282.82557438 2100.199528433 Ɵ1 3.23 tn/m-1654.22143071 -2282.82557 1654.221430713 -2282.82557438 v2 1.762282.825574384 2100.19953 -2282.82557438 4200.399056867 Ɵ2

M3E= 0.83 R3E= 2.84DATOS M4E= -0.83 R4E= 2.84

fć= 210 E= 2173706.511928

L= 3.5 I= 0.0013333B= 0.25H= 0.4


v2 Ɵ2 v3 Ɵ3 M2E= 1.247 R2E= 10.110811.1791064922 1419.56344 -811.179106492 1419.563436361 v2 M3E= -2.464 R3E= 8.495

k(2,3)= 1419.563436361 3312.31468 -1419.56343636 1656.157342422 Ɵ2 M4E= -0.834 R4E= 2.842-811.179106492 -1419.56344 811.1791064922 -1419.56343636 v31419.563436361 1656.15734 -1419.56343636 3312.314684843 Ɵ3

DATOS

fć= 210 E= 2173706.511928

L= 1.76 I= 0.0013333B= 0.25H= 0.4


v3 Ɵ3 v4 Ɵ46379.444825109 5613.91145 -6379.44482511 5613.911446096 v3

k(3,4)= 5613.911446096 6586.98943 -5613.9114461 3293.494715043 Ɵ3-6379.44482511 -5613.91145 6379.444825109 -5613.9114461 v45613.911446096 3293.49472 -5613.9114461 6586.989430086 Ɵ4


Ɵ2

=7512.71374 1656.157342422 0 0

X-1.247

Ɵ3 1656.15734 9899.30 -5613.91 3293.49 2.464v4 0 -5613.9114461 6379.44 -5613.91 -3.517Ɵ4 0 3293.494715043 -5613.9114461 6586.99 0.834

Ɵ2

=0.000030 rad

Ɵ3 -0.00089 radv4 -0.00332 mƟ4 -0.00226 rad

Ɵ2 Ɵ3 v4 Ɵ4V1

=2282.8 0.0 0.0 0.0

X3E-05

+4.458

V2 -863.3 1419.6 0.0 0.0 -0.0009 10.110V3 -1419.6 4194.3 -6379.4 5613.9 -0.0033 8.495M1 2100.2 0.0 0.0 0.0 -0.0023 2.050

V1

=4.53

V2 8.82V3 13.23 V1 4.5258 ton Ɵ2 0.0000 radM1 2.11 V2 8.8232 ton Ɵ3 -0.0009 rad

V3 13.2315 ton Ɵ4 -0.0023 radV4 -0.0033 ton M1 2.1132 ton-m

Tn/m2

m4

Tn/m2

m4

Tn/m2

m4

32

32121

3

EJE A-A

ancho 2.12 m

Losa (espesor) 20 cm 300 kg/mViga (base x altura ) 25 cm 40 cm 240 kg/m 17 280.0Acabados 100 kg/m2 20 300.0Tabiqueria Movil 250 kg/m2 25 350.0

30 420.010.00 100.00


CM= 2.158 Tn/m



EJE B-B

ancho 4.12 m



30 420.0

10.00 100.00


CM= 3.458 Tn/m



EJE B-B TRAMO 3-4

ancho 0.80 m



30 420.0

10.00 100.00


CM= 1.204 Tn/m



EJE C-C

ancho 2.26 m



30 420.0

10.00 100.00


CM= 2.153 Tn/m



EJE D-D

ancho 1.46 m



30 420.0

10.00 100.00


CM= 1.729 Tn/m

Carga Viva CARGA ULTIMA 3.04 Tn/m

espesor (cm)

Peso Propio

(kg/cm2)

kg/m2

espesor (cm)

Peso Propio

(kg/cm2)

kg/m2

espesor (cm)

Peso Propio

(kg/cm2)

kg/m2

espesor (cm)

Peso Propio

(kg/cm2)

kg/m2

espesor (cm)

Peso Propio

(kg/cm2)

viviendas 250sobrecarga 0.365 tn/m

CV= 0.365 Tn/m

kg/m2

0.675 Tn

3.92Tn/m 3.922.76 3.5 0.36 2.76

M1E= 2.49 R1E= 5.41DATOS M2E= -2.49 R2E= 5.41

fć= 210 E= 2173706.511928

L= 2.76 I= 0.0013333B= 0.25 3.92H= 0.4 3.5


v1 Ɵ1 v2 Ɵ21654.221430713 2282.82557 -1654.22143071 2282.825574384 v1

k(1,2)= 2282.825574384 4200.39906 -2282.82557438 2100.199528433 Ɵ1 3.92-1654.22143071 -2282.82557 1654.221430713 -2282.82557438 v2 0.362282.825574384 2100.19953 -2282.82557438 4200.399056867 Ɵ2

M3E= 0.04 R3E= 0.71DATOS M4E= -0.04 R4E= 0.71

fć= 210 E= 2173706.511928

L= 3.5 I= 0.0013333B= 0.25H= 0.4


v2 Ɵ2 v3 Ɵ3 M2E= 1.514 R2E= 12.276811.1791064922 1419.56344 -811.179106492 1419.563436361 v2 M3E= -3.962 R3E= 7.570

k(2,3)= 1419.563436361 3312.31468 -1419.56343636 1656.157342422 Ɵ2 M4E= -0.042 R4E= 0.706-811.179106492 -1419.56344 811.1791064922 -1419.56343636 v31419.563436361 1656.15734 -1419.56343636 3312.314684843 Ɵ3

DATOSfć= 210 E= 2173706.511928

L= 0.36 I= 0.0013333B= 0.25H= 0.4


v3 Ɵ3 v4 Ɵ4745441.1906476 134179.414 -745441.190648 134179.4143166 v3

k(3,4)= 134179.4143166 32203.0594 -134179.414317 16101.52971799 Ɵ3-745441.190648 -134179.414 745441.1906476 -134179.414317 v4134179.4143166 16101.5297 -134179.414317 32203.05943598 Ɵ4


Ɵ2

=7512.71374 1656.157342422 0 0

X-1.514

Ɵ3 1656.15734 35515.37 -134179.41 16101.53 3.962v4 0 -134179.41 745441.19 -134179.41 -1.381Ɵ4 0 16101.53 -134179.41 32203.06 0.042

Ɵ2

=-0.000489 rad

Ɵ3 0.00130 radv4 0.00046 mƟ4 0.00128 rad

Ɵ2 Ɵ3 v4 Ɵ4V1

=2283 0 0 0

X-5E-04

+5.413

V2 -863 1420 0 0 0.0013 12.276V3 -1420 132760 -745441 134179 0.00046 7.570M1 2100 0 0 0 0.00128 2.490

V1

=4.30

V2 14.55V3 7.79 V1 4.2968 ton Ɵ2 -0.0005 radM1 1.46 V2 14.5483 ton Ɵ3 0.0013 rad

V3 7.7949 ton Ɵ4 0.0013 radv4 0.0005 ton M1 1.4632 ton-m

Tn/m2

m4

Tn/m2

m4

Tn/m2

m4

32

32121

3

6.59Tn/m 2.49 Tn/m 6.592.76 3.5 1.5 2.76

M1E= 4.18472856 R1E= 9.10DATOS DATOS M2E= -4.18472856 R2E= 9.10

fć= 210 E= 2173706.51 fć= 210 E= 2173706.51

L= 2.76 I= 0.0013333 L= 3.5 I= 0.0013333B= 0.25 B= 0.25 6.59H= 0.4 H= 0.4 3.5

Nudo inicial 1 Nudo final 2 Nudo inicial 2 Nudo final 3 M2E= 6.7295375 R2E= 11.54M3E= -6.7295375 R3E= 11.54

v1 Ɵ1 v2 Ɵ2 v2 Ɵ2 v3 Ɵ31654.22143 2282.82557438 -1654.22143 2282.82557 v1 811.179106 1419.56343636 -811.179106 1419.563436361 v2

k(1,2)= 2282.82557 4200.39905687 -2282.82557 2100.19953 Ɵ1 k(2,3)= 1419.56344 3312.31468484 -1419.56344 1656.157342422 Ɵ2 2.49-1654.22143 -2282.8255744 1654.22143 -2282.82557 v2 -811.179106 -1419.5634364 811.179106 -1419.56343636 v3 1.52282.82557 2100.19952843 -2282.82557 4200.39906 Ɵ2 1419.56344 1656.15734242 -1419.56344 3312.314684843 Ɵ3

DATOS M3E= 0.466875 R3E= 1.87

fć= 210 E= 2173706.51 M4E= -0.466875 R4E= 1.87

L= 1.5 I= 0.0013333B= 0.25H= 0.4


v3 Ɵ3 v4 Ɵ4 M1E= 4.185 R1E= 9.09710304.979 7728.73426463 -10304.979 7728.73426 v3 M2E= 2.545 R2E= 20.634

k(3,4)= 7728.73426 7728.73426463 -7728.73426 3864.36713 Ɵ3 M3E= -6.263 R3E= 13.404-10304.979 -7728.7342646 10304.979 -7728.73426 v4 M4E= -0.467 R4E= 1.8687728.73426 3864.36713232 -7728.73426 7728.73426 Ɵ4

DETERMINACION DE LOS DEZPLAZAMIENTOS EN LA VIGA CONTINUA

Ɵ2 Ɵ3 -1Ɵ2 = 7512.71374171 1656.15734 X -2.545Ɵ3 1656.15734242 11041.0489 6.263

Ɵ2 = -0.0005 radƟ3 0.0006 rad

Ɵ2 Ɵ3V1

=

2282.82557438 0

X

-0.0005

+

9.097V2 -863.26213802 1419.56344 0.0006 20.634V3 -1419.5634364 6309.17083 13.404V4 0 -7728.73426 1.868M1 2100.19952843 0 4.185M4 0 3864.36713 -0.467

V1

=

8.00V2 21.95 V1 8 ton Ɵ2 -0.0005 radV3 18.12 V2 21.95 ton Ɵ3 0.0006 radV4 -3.07 V3 18.12 ton M1 3.18 ton-mM1 3.18 V4 -3.07 ton M4 2 ton-mM4 2.00

Tn/m2 Tn/m2

m4 m4

Tn/m2

m4

2 3 41

32

21

34

2.00tn/m1.5

DATOSf´c= 210 E= 2173706.5119L= 1.5 I= 0.0013333B= 0.25H= 0.4


v3 Ɵ3 v4 Ɵ410304.979 7728.73426 -10304.97902 7728.73426 v3

k(3,4)= 7728.73426 7728.73426 -7728.7342646 3864.36713 Ɵ3-10304.979 -7728.73426 10304.97902 -7728.73426 v47728.73426 3864.36713 -7728.7342646 7728.73426 Ɵ4

M3E= 0.375 R3E= 1.500M4E= -0.375 R4E= 1.500

Tn/m2

m4

43

0.675 tn

3.66Tn/m 3.662.76 3.5 1.76 2.76

M1E= 2.32 R1E= 5.05DATOS M2E= -2.32 R2E= 5.05

fć= 210 E= 2173706.511928

L= 2.76 I= 0.0013333

B= 0.25 3.66H= 0.4 3.5


v1 Ɵ1 v2 Ɵ21654.221430713 2282.82557 -1654.22143071 2282.8255744 v1

k(1,2)= 2282.825574384 4200.39906 -2282.82557438 2100.1995284 Ɵ1 3.66-1654.22143071 -2282.82557 1654.221430713 -2282.8255744 v2 1.762282.825574384 2100.19953 -2282.82557438 4200.3990569 Ɵ2

M3E= 0.94 R3E= 3.22DATOS M4E= -0.94 R4E= 3.22

fć= 210 E= 2173706.511928

L= 3.5 I= 0.0013333B= 0.25H= 0.4


v2 Ɵ2 v3 Ɵ3 M2E= 1.413 R2E= 11.456811.1791064922 1419.56344 -811.179106492 1419.5634364 v2 M3E= -2.791 R3E= 9.626

k(2,3)= 1419.563436361 3312.31468 -1419.56343636 1656.1573424 Ɵ2 M4E= -0.945 R4E= 3.221-811.179106492 -1419.56344 811.1791064922 -1419.5634364 v31419.563436361 1656.15734 -1419.56343636 3312.3146848 Ɵ3

DATOS

fć= 210 E= 2173706.511928

L= 1.76 I= 0.0013333B= 0.25H= 0.4


v3 Ɵ3 v4 Ɵ46379.444825109 5613.91145 -6379.44482511 5613.9114461 v3

k(3,4)= 5613.911446096 6586.98943 -5613.9114461 3293.494715 Ɵ3-6379.44482511 -5613.91145 6379.444825109 -5613.9114461 v45613.911446096 3293.49472 -5613.9114461 6586.9894301 Ɵ4


Ɵ2

=7512.71374 1656.157342422 0 0

X-1.413

Ɵ3 1656.15734 9899.30 -5613.91 3293.49 2.791v4 0 -5613.9114461 6379.44 -5613.91 -3.896Ɵ4 0 3293.494715043 -5613.9114461 6586.99 0.945

Ɵ2

=0.000022 rad

Ɵ3 -0.00095 radv4 -0.00362 mƟ4 -0.00246 rad

Ɵ2 Ɵ3 v4 Ɵ4V1

=2282.8 0.0 0.0 0.0

X2E-05

+5.051

V2 -863.3 1419.6 0.0 0.0 -0.001 11.456V3 -1419.6 4194.3 -6379.4 5613.9 -0.0036 9.626M1 2100.2 0.0 0.0 0.0 -0.0025 2.323

V1

=5.10

V2 10.08V3 14.84 V1 5.1011 ton Ɵ2 0.0000 radM1 2.37 V2 10.0838 ton Ɵ3 -0.0010 rad

V3 14.8433 ton Ɵ4 -0.0025 radV4 -0.0036 ton M1 2.3696 ton-m

Tn/m2

m4

Tn/m2

m4

Tn/m2

m4

32

32121

3

metodo matricial (2).xlsx

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