ELEMENTOS L (Mts) A (m^2) E (T/m^2) AE/L (T) λ μ λ^2

6_1 2.828 0.0025 2100000018564.36 0.70721358 0.70721358 0.50015105

6_3 2 0.0025 21000000 26250 1 0 1

3_1 2 0.0025 21000000 26250 0 1 0

3_4 2 0.0025 21000000 26250 1 0 1

1_4 2.828 0.0025 2100000018564.36 0.70721358 -0.70721358 0.50015105

1_2 2 0.0025 21000000 26250 1 0 1

4_2 2 0.0025 21000000 26250 0 -1 0

2_5 2.828 0.0025 2100000018564.36 0.70721358 -0.70721358 0.50015105

4_5 2 0.0025 21000000 26250 1 0 1METODO LEIXER RIVEROS

DATOS INTRODUCCIDOS NODO COOR X COOR Y

DATOS CALCULADOS 1 2 2

2 4 2 U6

3 2 0 V6

4 4 0 U1

5 6 0 V1

6 0 0

U6V6U3V3

U3V3U1V1

U3V3U4V4

U1V1U4V4

U1V1

U2V2

U4V4U2V2

U2V2U5V5

U4V4U5V5

μ^2 λμ ELEMENTO NODO I NODO J

0.500151046 0.50015105 1 6 1

0 0 2 6 3

1 0 3 3 1

0 0 4 3 4

0.500151046 -0.50015105 5 1 4

0 0 6 1 2

1 0 7 4 2

0.500151046 -0.50015105 8 2 5

0 0 9 4 5METODO LEIXER RIVEROS

1. CALCULO DE MATRICES DE RIGIDEZ DE CADA BARRA

U6 V6 U1 V1

K6-1

9284.98228 9284.982282 -9284.982282 -9284.98228

9284.98228 9284.982282 -9284.982282 -9284.98228

-9284.98228 -9284.982282 9284.982282 9284.98228

-9284.98228 -9284.982282 9284.982282 9284.98228

U6 V6 U3 V3

K6-3

26250 0 -26250 00 0 0 0

-26250 0 26250 00 0 0 0

U3 V3 U1 V1

K3-1

0 0 0 00 26250 0 -262500 0 0 00 -26250 0 26250

U3 V3 U4 V4

K3-4

26250 0 -26250 00 0 0 0

-26250 0 26250 00 0 0 0

U1 V1 U4 V4

K1-4

9284.98228 -9284.982282 -9284.982282 9284.98228-9284.98228 9284.982282 9284.982282 -9284.98228-9284.98228 9284.982282 9284.982282 -9284.982289284.98228 -9284.982282 -9284.982282 9284.98228

U1 V1 U2 V2

K1-2

26250 0 -26250 00 0 0 0

K1-2-26250 0 26250 0

0 0 0 0U4 V4 U2 V2

K4-2

0 0 0 00 26250 0 -262500 0 0 00 -26250 0 26250

U2 V2 U5 V5

K2-5

9284.98228 -9284.982282 -9284.982282 9284.98228-9284.98228 9284.982282 9284.982282 -9284.98228-9284.98228 9284.982282 9284.982282 -9284.982289284.98228 -9284.982282 -9284.982282 9284.98228

U4 V4 U5 V5

K4-5

26250 0 -26250 00 0 0 0

-26250 0 26250 00 0 0 0

2. CALCULO DE LA RIGIDEZ DEL SISTEMA

K general del sistema

132854.947 -9284.98228 -132854.94685 9284.9822825

-9284.98228 80354.94685 9284.9822825 -80354.946847

-132854.947 9284.982282 132854.94685 -9284.9822825

9284.98228 -80354.9468 -9284.9822825 80354.946847

FUERZA 3. CALCULO DE LA MATRIZU1 V1 U2 V2

2 U1 44819.96456 0 -26250 0-4 V1 0 44819.964565 0 0-1 U2 -26250 0 35534.982282 -9284.98228251 V2 0 0 -9284.9822825 35534.9822820 U3 0 0 0 00 V3 0 -26250 0 00 U4 -9284.98228 9284.9822825 0 00 V4 9284.982282 -9284.9822825 0 -262500 U5 0 0 -9284.9822825 9284.9822825

Y5 V5 0 0 9284.9822825 -9284.9822825X6 U6 -9284.98228 -9284.9822825 0 0Y6 V6 -9284.98228 -9284.9822825 0 0

VERIFICACION SUMA 0 0 0 0

4. CALCULOS DE LOS DESPLAZAMIENTOS

INVERSA DE K 1,1

-1.857E+11 -122020500225 -185698670547 59805557170-1.2202E+11 13081066726 -122020500225 115738501186-1.857E+11 -122020500225 -185698670547 59805557170

59805557170 115738501186 59805557170 63678170323-3872613153 -19363065765 -3872613153 7745226305.8

k^-1 -1.2202E+11 13081066726 -122020500225 115738501186-3872613153 -19363065765 -3872613153 7745226305.859805557170 115738501186 59805557170 63678170323-3872613153 -19363065765 -3872613153 7745226305.82.41632E+11 218395935647 241631614564 11617839459-3872613153 -19363065765 -3872613153 7745226305.8-3.0385E+11 -89576367734 -303846557619 167798832050

3. CALCULO DE LA MATRIZU3 V3 U4 V4 U5 V5

0 0 -9284.9822825 9284.9822825 0 00 -26250 9284.9822825 -9284.9822825 0 00 0 0 0 -9284.9822825 9284.9822820 0 0 -26250 9284.9822825 -9284.982282

52500 0 -26250 0 0 00 26250 0 0 0 0

-26250 0 61784.982282 -9284.9822825 -26250 00 0 -9284.9822825 35534.982282 0 00 0 -26250 0 35534.982282 -9284.9822820 0 0 0 -9284.9822825 9284.982282

-26250 0 0 0 0 00 0 0 0 0 0

0 0 0 0 0 0

4. CALCULOS DE LOS DESPLAZAMIENTOS

-3872613153 -122020500225 -3872613153 59805557170 -3872613153 2.41632E+11-19363065765 13081066726 -19363065765 115738501186 -19363065765 2.18396E+11-3872613153 -122020500225 -3872613153 59805557170 -3872613153 2.41632E+11

7745226305.8 115738501186 7745226305.8 63678170323 7745226305.8 1161783945923235678917 -19363065765 23235678917 7745226305.8 23235678917 34853518376-19363065765 13081066726 -19363065765 115738501186 -19363065765 2.18396E+1123235678917 -19363065765 23235678917 7745226305.8 23235678917 348535183767745226305.8 115738501186 7745226305.8 63678170323 7745226305.8 1161783945923235678917 -19363065765 23235678917 7745226305.8 23235678917 3485351837634853518376 218395935647 34853518376 11617839459 34853518376 -1.9516E+1123235678917 -19363065765 23235678917 7745226305.8 23235678917 34853518376-46471357835 -89576367734 -46471357835 167798832050 -46471357835 4.25174E+11

VERIFICACION3. CALCULO DE LA MATRIZ SUMA

U6 V6-9284.9822825 -9284.98228 0 U1-9284.9822825 -9284.98228 0 V1

0 0 0 U20 0 0 V2

-26250 0 0 U30 0 0 V30 0 0 U40 0 0 V40 0 0 U50 0 0 0

35534.982282 9284.982282 0 09284.9822825 9284.982282 0 0

0 0 0 TRUE

4. CALCULOS DE LOS DESPLAZAMIENTOS

-3872613153 -3.0385E+11-19363065765 -8.9576E+10-3872613153 -3.0385E+11

7745226305.8 1.67799E+1123235678917 -4.6471E+10-19363065765 -8.9576E+1023235678917 -4.6471E+107745226305.8 1.67799E+1123235678917 -4.6471E+1034853518376 4.25174E+1123235678917 -4.6471E+10-46471357835 -3.4695E+11

ELEMENTOS L (Mts) A (m^2) E (T/m^2) AE/L (T) λ μ1 5 0.01 2E+07 40800 0.8 0.62 4 0.004 2E+07 20400 1 03 3 0.003 2E+07 20400 0 14 5 0.015 2E+07 61200 0.8 -0.65 4 0.004 2E+07 20400 1 0

CALCULOS DE LA RIGIDEZES DE CADA BARRA MATRIZ GENERAL EMSANBLADAU1 V1 U3 V3

U1 26112 19584 -26112 -19584K13 V1 19584 14688 -19584 14688 U1

U3 -26112 -19584 26112 19584 V1V3 -19584 14688 19584 14688 U2

U1 V1 U4 V4 V2U1 20400 0 -20400 0 U3

K14 V1 0 0 0 0 V3U4 -20400 0 20400 0 U4V4 0 0 0 0 V4

U4 V4 U3 V3U4 0 0 0 0 VERIFICACION

K43 V4 0 20400 0 20400U3 0 0 0 0V3 0 20400 0 20400 MATRIZ LOCALEES

U3 V3 U2 V2U3 39168 -29376 -39168 29376

K32 V3 -29376 22032 29376 22032 K13U2 -39168 29376 39168 -29376V2 29376 22032 -29376 22032

U4 V4 U2 V2K42 U4 20400 0 -20400 0

V4 0 0 0 0 K14U2 -20400 0 20400 0V2 0 0 0 0

K43

K32

K42

λ^2 μ^2 λμ NODO XI NODO XJ NODO YI NODO YJ0.64 0.36 0.48 0 4 0 3

1 0 0 0 4 0 00 1 0 4 4 0 3

0.64 0.36 -0.48 4 8 3 01 0 0 4 8 0 0

MATRIZ GENERAL EMSANBLADAU1 V1 U2 V2 U3 V3 U4

46512 19584 0 0 -26112 -19584 -2040019584 14688 0 0 -19584 14688 0

0 0 59568 -29376 -39168 29376 -204000 0 -29376 22032 29376 22032 0

-26112 -19584 -39168 29376 65280 -9792 0-19584 14688 29376 22032 -9792 57120 0-20400 0 -20400 0 0 0 40800

0 0 0 0 0 20400 0

0 29376 0 44064 0 114240 0

MATRIZ LOCALEES TRASNFORMADA PARA CADA BARRA40800 0 -40800 0 0.8 0.6

0 0 0 0 -0.6 0.8-40800 0 40800 0 K13 0 0

0 0 0 0 0 0

20400 0 -20400 0 1 00 0 0 0 K14 0 1

-20400 0 20400 0 0 00 0 0 0 0 0

20400 0 -20400 0 K43 0 10 0 0 0 -1 0

-20400 0 20400 0 0 00 0 0 0 0 0

61200 0 -61200 0 K32 0.8 -0.60 0 0 0 0.6 0.8

-61200 0 61200 0 0 00 0 0 0 0 0

20400 0 -20400 0 K42 1 00 0 0 0 0 1

-20400 0 20400 0 0 00 0 0 0 0 0

V4 VERIFICACION

0 00 293760 00 440640 0

20400 1142400 0

20400 40800

40800

TRASNFORMADA PARA CADA BARRA0 00 0

0.8 0.60.6 0.8

0 00 01 00 1

0 00 00 11 0

0 00 0

0.8 -0.6-0.6 0.8

0 00 0

1 00 1