Centros de Rigidez

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Cálculo de centros de rigidez

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  • Cargas Permanentes

    Entrepiso 360 kg/m2Acabados Ceramica 60 kg/m2Cielo e instalaciones 20 kg/m2Divisiones livianas 30 kg/m2Ventanera 60 kg/m2TechoEstructuras metlica 25 kg/m2Cubierta y Accesorios 15 kg/m2Cielo e instalaciones 20 kg/m2Wentrepiso 470 kg/m2Wtecho 60 kg/m2

    Cargas Temporales

    Carga Total 200 kg/cm2 z 0.15 UnidWct 5766 kg

    Muros y Paredes

    Alturas Tributarias Nivel 1 2.95 mNivel 2 1.7 m

    rea de los pisosNivel 1 192.2 m2Nivel 2 78.27 m2

    Nivel 1Wbloque 300 kg/m2Long. Paredes 114.32 mWparedes H1 101173.2 kgLong.Ventanera 11.3 mWventanas H1 2000.1 kgWcp1 90334 kgWtot 1 199273.3 kg

    Wtot 244758.1 kg

  • Wtot 244758.1 kg

    Carga Ssmica

    Zonificacin ssmica Zona ssmica III

    Tipo de Suelo S3

    Factor de importancia 1

    Aceleracin efectiva 0.36

    Sistema Estructural Tipo Muro

    Regularidad Irregular

    Ductilidad Local Moderado

    Ductilidad Global () 1

    Numero de pisos 2

    Periodo 0.1

    FED 2.15

    SR 2

    Cs 0.39

    Fs 94721.3847

    Tabla 1.0 Mtodo Estatico

    Nivel h (m) W(ton) h*W

    1 2.50 199.27 498.182 5.90 45.48 268.36

    244.76 766.54

    Tabla 2.0 Momentos de Volcamiento

  • Nivel h (m) W(ton) FiBase 0 0 0

    1 2.50 199.27 61.562 5.90 45.48 33.16

    244.76 94.72

    Tabla 3.0 Desplazamientos ElsticosSeccin rea (ton-m2) y (m) M*y

    1 296 5.07 1500.722 281.88 4.65 1310.7423 191.68 2.27 435.1136

    3246.58

    Inercias

    b= 15

    Verticales Planta IIElemento H Inercia

    A 270 24603750B 60 270000C 105 1447031.25D 105 1447031.25E 60 270000F 120 2160000G 320 40960000H 440 106480000I 255 20726718.8J 480 138240000K 280 27440000L 120 2160000M 120 2160000N 200 10000000

    378364531

    Horizontales planta IIElemento H Inercia

    1 240 172800002 920 9733600003 255 20726718.84 345 51329531.35 45 113906.25

  • 6 105 1447031.257 45 113906.258 105 1447031.259 285 28936406.3

    10 120 216000011 200 10000000

    1.11E+009

    Ig1 5.26E+08

    Ig2 3.78E+08

    f'm 100 kg/cm2Em 75000 kg/cm2Ig 378364531.25 cm4Icr 1.89E+08 cm4

    e 0.2288146541 cm

    i 0.3203405157 cm

    i permisible 2.95 cm

    0.0761572081 cm

    ie 0.0003046288 cm

    lmite 0.01

    i 0.0006092577 Cumple

    Tabla 4.0 Periodo Real Nivel Wi (kg) ie Wi*(ie^2)

    1 199273.300 0.165 5406.9162 45484.800 0.229 2381.409

    die

  • 7788.32

    Treal 0.1328971505 FEDrealTasumido 0.1 FEDasum

    Figura rea(m2) x(m) Ax1 253.750 7.40 1877.7502 -17.480 3.50 -61.1803a 1.23 5.02 6.1753b 24.42 2.40 58.6084 -24.34 13.53 -329.3205 -3.07 13.53 -41.537 234.510 1510.495

    Tabla 5.2 Centro de Masa Entrepisox 6.44 my 8.26 m

    Tabla 6.0 Centro de masa Nivel 1Item W(ton) x(m) y(m)

    Entrepiso 119.26 6.44 8.261 3.87 2.80 12.882 2.46 9.55 18.033 0.89 9.00 13.034 1.56 11.20 13.035 0.67 8.65 11.366 1.56 11.05 11.367 2.31 10.15 9.008 0.60 13.45 8.339 0.60 13.45 4.83

    10 1.79 13.45 2.0811 0.67 11.65 0.8212 0.67 8.65 0.8213 1.49 6.00 0.0814 0.89 5.60 1.9315 2.22 1.65 0.8516 3.57 2.40 7.64a 1.76 5.33 11.40b 3.27 7.08 12.20c 0.60 7.08 16.40

    Tabla 5.0 Centro masa Entrepiso

  • d 6.80 12.18 12.38e 3.27 8.13 10.48f 4.75 14.72 5.22g 4.43 12.18 3.82h 2.08 8.13 5.00i 0.60 4.88 7.96j 2.08 7.08 1.40k 1.49 4.92 1.00l 0.89 3.07 1.45

    m 0.89 0.08 1.37n 2.68 0.08 5.85 61.41

    Tabla 6.1 Centro de Masa Piso ICMx 8.16 mCMy 7.87 m

    Figura rea(m2) x(m) Ax1 150.220 5.80 871.2762 -5.580 5.13 -28.6253 -42.78 2.33 -99.6774 -17.91 6.25 -111.9385 -1.72 5.73 -9.8566 -3.76 9.28 -34.893 78.470 586.287

    Tabla 7.2 Centro de Masa Entrepisox 7.47 my 7.65 m

    Tabla 8.0 Centro de masa Nivel 2Item W(ton) x(m) y(m)

    Entrepiso 70.60 7.47 7.651 1.79 1.20 9.282 6.84 5.80 12.883 1.90 3.75 10.334 2.57 9.73 10.005 0.33 9.20 6.086 0.78 10.93 6.087 0.33 9.20 3.688 0.78 10.93 3.68

    Tabla 7.0 Centro masa Entrepiso

  • 9 2.12 9.35 0.9010 0.89 6.60 0.0811 1.49 5.80 2.73a 2.01 0.08 10.63b 0.45 2.33 10.55c 0.78 2.33 12.28d 0.78 4.73 10.55e 0.45 4.73 12.28f 0.89 7.78 12.20g 2.38 11.38 10.00h 3.27 7.58 8.21i 1.90 8.98 4.89j 3.57 11.53 4.42k 2.08 7.58 2.22l 0.89 6.88 3.00

    m 0.89 6.88 0.08n 1.49 4.73 1.80 41.66

    Tabla 8.1 Centro de Masa Piso IICMx 7.02 mCMy 7.51 m

    Tabla 9.0 Centro de Rigidez Nivel 1Muro Awx Awy Iy

    1 0.78 - 1.75762 0.495 - 0.44921253 0.18 - 0.02164 0.315 - 0.11576255 0.135 - 0.00911256 0.315 - 0.11576257 0.585 - 0.74148758 0.12 - 0.00649 0.12 - 0.0064

    10 0.36 - 0.172811 0.135 - 0.009112512 0.135 - 0.009112513 0.3 - 0.114 0.18 - 0.021615 0.45 - 0.337516 0.72 - 1.3824a - 0.42 -b - 0.66 -c - 0.12 -d - 1.3725 -

  • e - 0.42 -f - 0.96 -g - 0.9 -h - 0.42 -i - 0.12 -j - 0.42 -k - 0.3 -l - 0.18 -

    m - 0.18 -n - 0.54 -

    Tabla 9.1 Centro de Rigidez Nivel 1CRx 8.96 mCRy 8.50 m

    Tabla 10.0 Centro de Rigidez Nivel 2Muro Awx Awy Iy

    1 0.36 - 0.17282 1.38 - 9.73363 0.3825 - 0.207267194 0.5175 - 0.513295315 0.0675 - 0.001139066 0.1575 - 0.014470317 0.0675 - 0.001139068 0.1575 - 0.014470319 0.4275 - 0.28936406

    10 0.18 - 0.021611 0.3 - 0.1a - 0.405 -b - 0.09 -c - 0.1575 -d - 0.1575 -e - 0.09 -f - 0.18 -g - 0.48 -h - 0.66 -i - 0.3825 -j - 0.72 -k - 0.42 -l - 0.18 -

    m - 0.18 -n - 0.3 -

  • Tabla 10.1 Centro de Rigidez Nivel 2CRx 7.51 mCRy 8.63 m

    Tabla 11.0 Excentricidades Nivel 1ExEy

    Tabla 12.0 Excentricidades Nivel 2ExEy

    Tabla 13.0 Cortantes, torsiones y momentos Nivel 1 Fix 61.56 tonTx -49.2349224769 ton*mFiy 61.56 tonTy -38.4224293747 ton*mM 349.551348697 ton*m

    Tabla 14.0 Cortantes, torsiones y momentos Nivel 2Fix 33.16 tonTx -16.1893237243 ton*mFiy 33.16 tonTy -37.1767268794 ton*mM 112.747886947 ton*m

    Tabla 16.0 Sismo en X Nivel 2Muro Rx Ry dx

    1 1.7258426966 - -2 6.879882197 - -3 1.842375 - -4 2.5347916667 - -5 0.151875 - -6 0.643125 - -7 0.151875 - -

  • 8 0.643125 - -9 2.0742943548 - -

    10 0.768 - -11 1.4125956445 - - 18.8277815597

    Tabla 10.1 Centro de Rigidez Nivel 2CRxCRy

    Tabla 16.1 Sismo en Y Nivel 2Muro Rx Ry dx

    a - 1.95850746 -7.435b - 0.26666667 -5.035c - 0.643125 -5.035d - 0.643125 -2.635e - 0.26666667 -2.635f - 0.768 0.415g - 2.34336114 4.015h - 3.25834502 0.415i - 1.842375 1.495j - 3.56173913 4.015k - 2.03573416 0.415l - 0.768 -0.635

    m - 0.768 -0.635n - 1.41259564 -2.785 - 20.5362409

  • Bloque utlizado 15x20x45Wbloque 300 kg/m2H1 2.5 mH2 3.4 m

    Nivel 2Wbloque 300 kg/m2Long. Paredes 67.36 mWparedes H2 34353.6 kgLong.Ventanera 11.15 mWventanas H2 669 kgWcp2 4696.2 kgWtot 2 45484.8 kg

  • Tabla 1.0 Mtodo Estatico

    (h*W)/(h*W) Fi

    0.65 61.56 94.720.35 33.16 33.161.00 94.72

    Tabla 2.0 Momentos de Volcamiento

    Cortante acumulado

  • M.vuelco349.5513486971112.7478869471

    Vericales Planta IElemento H Inercia

    A 280 27440000B 440 106480000C 80 640000D 915 957576093.75E 280 27440000F 640 327680000G 600 270000000H 280 27440000I 80 640000J 280 27440000K 200 10000000L 120 2160000M 120 2160000N 360 58320000

    1845416093.8

    Horizontales planta IElemento H Inercia

    1 520 1757600002 330 449212503 120 21600004 210 115762505 90 911250

  • 6 210 115762507 390 741487508 80 6400009 80 640000

    10 240 1728000011 90 91125012 90 91125013 200 1000000014 120 216000015 300 3375000016 480 138240000

    525586250

    cm4

    cm4

    Tabla 4.0 Periodo Real Fi (kg) Fi*ie (kg-cm)

    61560.241 10140.29459712633161.143 7587.7555146524

  • 17728.050111778

    2.152.15

    Figura rea(m2) y(m) Ay1 253.750 8.98 2278.6752 -17.480 15.45 -270.0663a 1.23 11.40 14.0223b 24.42 10.26 250.5494 -24.34 13.18 -320.8015 -3.07 1.42 -4.3596 1.26 0.4 0.504 235.770 1948.524

    Tabla 6.0 Centro de masa Nivel 1Wx Wy Item

    768.05 985.11 110.83 49.83 223.45 44.27 38.04 11.63 4

    17.50 20.36 55.79 7.61 6

    17.26 17.75 723.41 20.76 88.01 4.96 98.01 2.87 10

    24.02 3.71 117.80 0.55 125.79 0.55 138.93 0.12 145.00 1.72 153.67 1.89 168.57 27.28 a9.40 20.10 b

    23.18 39.94 c4.21 9.76 d

    Tabla 5.1 Centro masa Entrepiso

  • 82.83 84.19 e26.55 34.23 f69.98 24.82 g54.01 16.94 h16.94 10.42 i2.90 4.74 j

    14.75 2.92 k7.32 1.49 l2.74 1.29 m0.07 1.22 n0.21 15.67

    501.17 483.58

    Figura rea(m2) y(m) Ay1 150.220 6.48 972.6752 -5.580 9.73 -54.2933 -42.78 4.60 -196.7884 -17.91 6.40 -114.6245 -1.72 3.20 -5.5046 -3.76 0.41 -1.542 78.470 599.924

    Tabla 8.0 Centro de masa Nivel 2 WyWx 539.78 Item l(m)

    527.51 16.57 1 2.42.14 88.16 2 9.2

    39.70 19.60 3 2.557.11 25.67 4 3.45

    24.97 2.04 5 0.453.08 4.75 6 1.058.54 1.23 7 0.453.08 2.87 8 1.058.54 1.91 9 2.85

    Tabla 7.1 Centro masa Entrepiso

  • 19.83 0.07 10 1.25.89 4.06 11 28.63 21.35 a 2.70.16 4.71 b 0.61.04 9.59 c 1.051.82 8.24 d 1.053.70 5.48 e 0.62.11 10.89 f 1.26.95 23.81 g 3.2

    27.09 26.88 h 4.424.81 9.28 i 2.5517.04 15.78 j 4.841.18 4.62 k 2.815.79 2.68 l 1.26.14 0.07 m 1.26.14 2.68 n 27.04 313.00

    292.53

    Tabla 9.0 Centro de Rigidez Nivel 1Ix Rx Ry x y

    - 3.8646266606 - - 12.88- 2.42 - - 18.03- 0.768 - - 13.03- 1.4913043478 - - 13.03- 0.5170212766 - - 11.36- 1.4913043478 - - 11.36- 2.8781659389 - - 9.00- 0.4326760563 - - 8.33- 0.4326760563 - - 4.83- 1.7258426966 - - 2.08- 0.5170212766 - - 0.82- 0.5170212766 - - 0.82- 1.4125956445 - - 0.08- 0.768 - - 1.93- 2.1897810219 - - 0.85- 3.5617391304 - - 7.64

    0.2744 - 2.0357341577 5.33 -1.0648 - 3.258345021 7.08 -0.0064 - 0.4326760563 7.08 -

    9.5757609375 - 6.84227291 12.18 -

  • 0.2744 - 2.0357341577 8.13 -3.2768 - 4.7711702967 14.72 -

    2.7 - 4.469273743 12.18 -0.2744 - 2.0357341577 8.13 -0.0064 - 0.4326760563 4.88 -0.2744 - 2.0357341577 7.08 -

    0.1 - 1.4125956445 4.92 -0.0216 - 0.768 3.07 -0.0216 - 0.768 0.08 -0.5832 - 2.6494037479 0.08 -

    24.987775731 33.9473501063

    Tabla 10.0 Centro de Rigidez Nivel 2Ix Rx Ry x y

    - 1.7258426966 - - 9.28- 6.879882197 - - 12.88- 1.842375 - - 10.33- 2.5347916667 - - 10.00- 0.151875 - - 6.08- 0.643125 - - 6.08- 0.151875 - - 3.68- 0.643125 - - 3.68- 2.0742943548 - - 0.90- 0.768 - - 0.08- 1.4125956445 - - 2.73

    0.2460375 - 1.9585074627 0.08 -0.0027 - 0.2666666667 2.33 -

    0.0144703125 - 0.643125 2.33 -0.0144703125 - 0.643125 4.73 -

    0.0027 - 0.2666666667 4.73 -0.0216 - 0.768 7.78 -0.4096 - 2.3433611442 11.38 -1.0648 - 3.258345021 7.58 -

    0.2072671875 - 1.842375 8.98 -1.3824 - 3.5617391304 11.53 -0.2744 - 2.0357341577 7.58 -0.0216 - 0.768 6.88 -0.0216 - 0.768 6.88 -

    0.1 - 1.4125956445 4.73 - 18.8277815597 20.5362408939

  • Tabla 11.0 Excentricidades Nivel 1-0.80 m-0.62 m

    Tabla 12.0 Excentricidades Nivel 2-0.49 m-1.12 m

    Tabla 16.0 Sismo en X Nivel 2dy R*d R*d2 Fv Ft

    0.645 1.113 0.718 3.040 -0.1064.245 29.205 123.976 12.117 -1.2161.695 3.123 5.293 3.245 -0.1301.375 3.485 4.792 4.464 -0.145

    -2.545 -0.387 0.984 0.267 0.016-2.545 -1.637 4.166 1.133 0.068-4.945 -0.751 3.714 0.267 0.031

  • -4.945 -3.180 15.726 1.133 0.132-7.735 -16.045 124.105 3.653 0.668-8.555 -6.570 56.208 1.353 0.273-5.905 -8.341 49.256 2.488 0.347

    0.016 388.938 33.161 -0.061

    Tabla 10.1 Centro de Rigidez Nivel 27.51 m8.63 m

    Tabla 16.1 Sismo en Y Nivel 2dy R*d R*d2 Fv Ft

    - -14.562 108.265 3.163 2.169- -1.343 6.760 0.431 0.200- -3.238 16.304 1.038 0.482- -1.695 4.465 1.038 0.252- -0.703 1.852 0.431 0.105- 0.319 0.132 1.240 -0.047- 9.409 37.776 3.784 -1.402- 1.352 0.561 5.261 -0.201- 2.754 4.118 2.975 -0.410- 14.300 57.416 5.751 -2.130- 0.845 0.351 3.287 -0.126- -0.488 0.310 1.240 0.073- -0.488 0.310 1.240 0.073- -3.934 10.956 2.281 0.586- 2.530 249.575 33.161 -0.377

  • L(m)5.23.31.22.10.92.13.10.80.82.40.90.92

    1.22.994.8

    2.374.40.8

    9.14

  • 4.396.395.962.80.82.82

    1.21.23.6

  • Tabla 9.0 Centro de Rigidez Nivel 1xRy yRx

    - 49.776391388- 43.6326- 10.00704- 19.4316956522- 5.8733617021- 16.9412173913- 25.9034934498- 3.6041915493- 2.0898253521- 3.589752809- 0.4239574468- 0.4239574468- 0.1130076516- 1.48224- 1.8613138686- 27.2116869565

    10.85046306 -23.069082749 -3.0633464789 -83.338884043 -

  • 16.550518702 -70.231626767 -

    54.43575419 -16.550518702 -2.1114591549 -14.412997836 -6.9499705709 -

    2.35776 -0.06144 -

    0.2119522998 -304.19577455 212.3657326641

    Tabla 10.0 Centro de Rigidez Nivel 2xRy yRx

    - 16.0158202247 6.70629477- 88.6128826977 197.530864- 19.03173375 204.237159- 25.3479166667 1.95850746- 0.9234- 3.9102- 0.5589- 2.3667- 1.8668649194- 0.06144- 3.8563861095

    0.156680597 -0.6213333333 -

    1.49848125 -3.04198125 -

    1.2613333333 -5.97504 -

    26.667449821 -24.698255259 -

    16.5445275 -41.066852174 -15.430864915 -

    5.28384 -5.28384 -

    6.6815773985 -154.21205683 162.5522443679

  • Tabla 16.0 Sismo en X Nivel 2 Tabla 15.0 Sismo en X Nivel 1Ftot Mv Muro

    2.933 10.335 110.902 41.199 2

    3.115 11.033 34.319 15.179 40.284 0.909 51.201 3.851 60.299 0.909 7

  • 1.265 3.851 84.321 12.422 91.626 4.599 102.835 8.459 11

    33.100 112.748 1213141516

    Tabla 15.0 Sismo en Y Nivel 1Tabla 16.1 Sismo en Y Nivel 2 Muro

    Ftot Mv a5.332 10.753 b0.631 1.464 c1.521 3.531 d1.291 3.531 e0.535 1.464 f1.193 4.216 g2.382 12.866 h5.060 17.889 i2.565 10.115 j3.621 19.555 k3.161 11.177 l1.313 4.216 m1.313 4.216 n2.867 7.755

    32.784 112.748

  • Tabla 15.0 Sismo en X Nivel 1Rx Ry dx dy R*d R*d23.86462666 - - 4.375 16.9077416 1104.7875

    2.42 - - 9.375 22.6875 1245.628830.768 - - 4.375 3.36 8.6704128

    1.49130435 - - 4.375 6.52445652 63.48263820.51702128 - - 2.705 1.39854255 1.011252911.49130435 - - 2.705 4.03397826 24.26796672.87816594 - - 0.505 1.4534738 6.08037331

  • 0.43267606 - - -0.175 -0.07571831 0.002480650.43267606 - - -3.685 -1.59441127 1.09992626

    1.7258427 - - -6.405 -11.0540225 210.8831570.51702128 - - -7.605 -3.93194681 7.993255290.51702128 - - -7.605 -3.93194681 7.993255291.41259564 - - -8.425 -11.9011183 200.075268

    0.768 - - -6.575 -5.0496 19.58281742.18978102 - - -7.655 -16.7627737 615.3078463.56173913 - - -0.865 -3.08090435 33.807926724.9877757 -1.017 3550.675

    Tabla 15.0 Sismo en Y Nivel 1Rx Ry dx dy R*d R*d2

    - 2.03573416 -3.645 - -7.420251 112.087777- 3.25834502 -1.895 - -6.17456381 124.22518- 0.43267606 -1.895 - -0.81992113 0.29087542- 6.84227291 3.205 - 21.9294847 3290.46477- 2.03573416 -0.845 - -1.72019536 6.02388412- 4.7711703 5.905 - 28.1737606 3787.16789- 4.46927374 3.205 - 14.3240223 916.994933- 2.03573416 -0.845 - -1.72019536 6.02388412- 0.43267606 -4.075 - -1.76315493 1.34506668- 2.03573416 -1.895 - -3.85771623 30.2957438- 1.41259564 -4.015 - -5.67157151 45.4385734- 0.768 -5.895 - -4.52736 15.7416872- 0.768 -8.895 - -6.83136 35.8406242- 2.64940375 -8.895 - -23.5664463 1471.41895

    33.9473501 0.355 9843.360

  • Tabla 15.0 Sismo en X Nivel 1Fv Ft Ftot Mv9.52094948 -0.23444877 9.28650072 54.06185315.96194659 -0.31459295 5.64735364 33.85312371.89205578 -0.04659096 1.84546482 10.74347073.67399871 -0.09047044 3.58352827 20.86169861.27374101 -0.01939269 1.25434832 7.232555893.67399871 -0.05593658 3.61806213 20.86169867.09069075 -0.02015439 7.07053636 40.2623585

  • 1.06594692 0.00104994 1.06699685 6.052659541.06594692 0.02210867 1.08805559 6.052659544.25181074 0.15327901 4.40508975 24.14263071.27374101 0.05452177 1.32826278 7.232555891.27374101 0.05452177 1.32826278 7.232555893.48009082 0.16502514 3.64511597 19.76065091.89205578 0.07001955 1.96207533 10.74347075.39477583 0.23243859 5.62721442 30.63261488.77475144 0.04272092 8.81747235 49.8247915

    61.560 0.014 61.574 349.551

    Tabla 15.0 Sismo en Y Nivel 1Fv Ft Ftot Mv3.69160733 0.0289641 3.72057143 20.96168385.90869407 0.0241017 5.93279578 33.55074530.78461625 0.00320047 0.78781672 4.455207812.4078012 -0.08559924 12.322202 70.45397413.69160733 0.00671459 3.69832191 20.96168388.65205663 -0.10997305 8.54208358 49.12810598.10459638 -0.05591218 8.0486842 46.01951733.69160733 0.00671459 3.69832191 20.96168380.78461625 0.00688227 0.79149852 4.45520783.69160733 0.01505815 3.70666548 20.9616838

    2.5616058 0.02213833 2.58374413 14.54530951.39269384 0.01767203 1.41036587 7.907993851.39269384 0.02666543 1.41935927 7.907993854.80443787 0.09198893 4.8964268 27.280558

    61.560 -0.001 61.559 349.551

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