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EJEMPLO 2 P 45° MATRIZ DE FUERZAS F MATRIZ DE DESPLAZAMIENTOS F X1 ? X1 - F Y1 ? Y1 - F X2 10.00 X2 ? F Y2 - Y2 ? F X3 ? X3 - F Y3 ? Y3 - 45° 135° 1 3 4.80 m BARRA 1-2 BARRA 2-3 θ 45 ° θ -45 ° A 0.0005 m A 0.0005 m E 2.00E+08 kg/m2 E 2.00E+08 kg/m2 L 3.39 m L 3.39 m BARRA 1-2 BARRA 2-3 senθ 0.71 senθ -0.71 cosθ 0.71 cosθ 0.71 AE/L 29499 AE/L 29499 MATRIZ DE RIGIDEZ K - PARCIAL MATRIZ DE RIGIDEZ K - PARCIAL 1.47E+04 1.47E+04 -1.47E+04 -1.47E+04 1.47E+04 1.47E+04 -1.47E+04 -1.47E+04 -1.47E+04 -1.47E+04 1.47E+04 1.47E+04 1.47E+04 -1.47E+04 -1.47E+04 1.47E+04 -1.47E+04 -1.47E+04 1.47E+04 1.47E+04 -1.47E+04 1.47E+04 1.47E+04 -1.47E+04 -1.47E+04 1.47E+04 1.47E+04 -1.47E+04 1.47E+04 -1.47E+04 -1.47E+04 1.47E+04 MATRIZ DE RIGIDEZ K - GLOBAL K 1.47E+04 1.47E+04 -1.47E+04 -1.47E+04 0.00E+00 0.00E+00 2.95E+04 0.00E+00 1.47E+04 1.47E+04 -1.47E+04 -1.47E+04 0.00E+00 0.00E+00 0.00E+00 2.95E+04 -1.47E+04 -1.47E+04 2.95E+04 0.00E+00 -1.47E+04 1.47E+04 -1.47E+04 -1.47E+04 0.00E+00 2.95E+04 1.47E+04 -1.47E+04 0.00E+00 0.00E+00 -1.47E+04 1.47E+04 1.47E+04 -1.47E+04 0.00E+00 0.00E+00 1.47E+04 -1.47E+04 -1.47E+04 1.47E+04 K -1 K 3.39E-05 0.00E+00 0.00E+00 3.39E-05 3.39E-05 0.00E+00 0.00E+00 3.39E-05 F 0.00E+00 F X1 0.00E+00 F Y1 1.00E+01 F X2 0.00E+00 F Y2 0.00E+00 F X3 0.00E+00 F Y3 = K -1 F 0.00E+00 u 1 0.00E+00 v 1 3.39E-04 u 2 0.00E+00 v 2 0.00E+00 u 3 0.00E+00 v 3 X = K ∆ -5.00 X 1 -5.00 Y 1 10.00 X 2 - Y 2 -5.00 X 3 5.00 Y 3 SOLUCION DATOS

Ejemplo Armadura Simple 1 - Metodo Rigideces (1)

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Ejemplo Armadura Simple 1 - Metodo Rigideces (1)

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  • EJEMPLO

    2 P

    45

    MATRIZ DE FUERZAS F MATRIZ DE DESPLAZAMIENTOS

    F X1 ? X1 -

    F Y1 ? Y1 -

    F X2 10.00 X2 ?

    F Y2 - Y2 ?

    F X3 ? X3 -

    F Y3 ? Y3 -

    45 135

    1 3

    4.80 m

    BARRA 1-2 BARRA 2-3

    45 -45

    A 0.0005 m A 0.0005 m

    E 2.00E+08 kg/m2 E 2.00E+08 kg/m2

    L 3.39 m L 3.39 m

    BARRA 1-2 BARRA 2-3

    sen 0.71 sen -0.71

    cos 0.71 cos 0.71

    AE/L 29499 AE/L 29499

    MATRIZ DE RIGIDEZ K - PARCIAL MATRIZ DE RIGIDEZ K - PARCIAL

    1.47E+04 1.47E+04 -1.47E+04 -1.47E+04

    1.47E+04 1.47E+04 -1.47E+04 -1.47E+04

    -1.47E+04 -1.47E+04 1.47E+04 1.47E+04 1.47E+04 -1.47E+04 -1.47E+04 1.47E+04

    -1.47E+04 -1.47E+04 1.47E+04 1.47E+04 -1.47E+04 1.47E+04 1.47E+04 -1.47E+04

    -1.47E+04 1.47E+04 1.47E+04 -1.47E+04

    1.47E+04 -1.47E+04 -1.47E+04 1.47E+04

    MATRIZ DE RIGIDEZ K - GLOBAL K

    1.47E+04 1.47E+04 -1.47E+04 -1.47E+04 0.00E+00 0.00E+00 2.95E+04 0.00E+00

    1.47E+04 1.47E+04 -1.47E+04 -1.47E+04 0.00E+00 0.00E+00 0.00E+00 2.95E+04

    -1.47E+04 -1.47E+04 2.95E+04 0.00E+00 -1.47E+04 1.47E+04

    -1.47E+04 -1.47E+04 0.00E+00 2.95E+04 1.47E+04 -1.47E+04

    0.00E+00 0.00E+00 -1.47E+04 1.47E+04 1.47E+04 -1.47E+04

    0.00E+00 0.00E+00 1.47E+04 -1.47E+04 -1.47E+04 1.47E+04

    K -1 K

    3.39E-05 0.00E+00

    0.00E+00 3.39E-05

    3.39E-05 0.00E+00

    0.00E+00 3.39E-05

    F

    0.00E+00 F X1

    0.00E+00 F Y1

    1.00E+01 F X2

    0.00E+00 F Y2

    0.00E+00 F X3

    0.00E+00 F Y3

    = K -1 F

    0.00E+00 u1

    0.00E+00 v1

    3.39E-04 u2

    0.00E+00 v2

    0.00E+00 u3

    0.00E+00 v3

    X = K

    -5.00 X1

    -5.00 Y1

    10.00 X2

    - Y2

    -5.00 X3

    5.00 Y3

    SOLUCION

    DATOS