Taller 04 Frankiwi

Rigidez de placa P3P3-1 P3-2 und.

Kmx 97,999.20 30,440.95 kg/cmKmy 8,856.77 3,695,857.09 kg/cm

t 30 621.8 cmL 105 25 cm

E= 234787.14H= 265Rigidez de placa P2B

P2B-1 P2B-2 und.Kmx 314,098.27 7,308.24 kg/cmKmy 28,778.37 120,582.35 kg/cm

t 40 - cmL 145 - cm

Rigidez de placa P1P1-1 P1-2 P1-3 P1-4 P1-5 P1-6

Kmx 9,546.45 9,546.45 1,049,192.64 11,749.48 2,189,628.20 15,176.41 Kmy 415,817.41 415,817.41 14,442.07 674,890.61 21,540.72 1,159,280.77

t 195 195 25 240 25 310L 25 25 295 25 440 25

Rigideces en el semisótanoELEMENTO Kx Ky

Columna 94,623.27 136,257.51 P7 226,719.81 3,740,764.32

P2A 113,540.78 1,873,366.47 P3 128,440.15 3,704,713.86

P4A 19,827.25 1,903,566.54 P8 18,844.15 3,797,771.76

P2B 321,406.51 149,360.72 P4B 314,098.27 28,778.37 P5 95,985.86 1,583,719.05 P6 10,050.21 1,490,427.37 P1 3,284,839.63 2,701,788.98

Columnas: 189,246.54 272,515.02 Muros: 4,533,752.62 20,974,257.44 % col. 4.0% 1.3%

% muros 96.0% 98.7%Áreas construidas por cada piso

Piso Área (m2) Peso (Tn) Var. Peso Var. Porcent.Semisótano 388.08 388.08 - -

Piso 1 260.73 260.73 -127.35 33%Piso 2 254.69 254.69 -6.04 2%Piso 3 255.74 255.74 1.05 0%Piso 4 254.80 254.80 -0.94 0%

Piso 5 254.25 254.25 -0.55 0%Piso 6 255.25 255.25 1.00 0%Piso 7 254.31 254.31 -0.94 0%Azotea 84.83 84.83 -169.48 67%Total 2,262.68

Área tributaria en cada pisoELEMENTO AREA (m2)Columnas 0.60

P7 1.49P2A 1.00P3 1.87

P4A 1.02P8 1.50

P2B 0.88P4B 0.58P5 0.83P6 0.80P1 4.19

Total 14.76

und.kg/cm 3,284,839.63 kg/cm 2,701,788.98

cmcm

SÓTANO 2h= 265 cmE= 234787.14 kg/cm2

ELEMENTO UBICACIÓN ÁREA (m2) Kx (kg/cm) Ky (kg/cm)P7 Eje 5 B/D 1.49 548,488.14 8,688,748.65

P2-A Eje 4 B/C 0.33 10,294.72 163,081.37 P4-A Eje 2 B/C 0.31 6,392.56 163,408.18 P8 Eje 1 B/D 1.5 18,897.74 8,863,568.82

P2-B Eje 2 B/C 0.38 15,999.29 253,449.13 P3 Eje 3 B/C 1.25 24,586.77 5,215,137.08

P4-B Eje 2 B/C 0.39 7,621.90 270,502.01 P2-C Eje C 3/4 0.88 366,208.32 161,610.91 P4-C Eje C 2/3 0.36 223,652.30 7,130.16 P5 Eje C/D 0.83 176,086.17 2,789,428.51 P6 Eje 1 C/D 0.8 10,078.80 2,572,161.91

C 50x60 D2 0.3 521,749.20 751,318.85 C 50x60 D4 0.3 521,749.20 751,318.85

P1 D/E y 2/4 4.3 4,318,793.41 5,050,251.68 13.42 6,770,598.53 35,701,116.11

PISO AREA Kx Ky hSEMISÓTANO 27.72 145,687,404.42 177,395,452.73 1.50

PISO 1 14.75 6,339,793.91 42,135,346.42 2.65 PISO 2 14.68 6,157,521.32 42,189,742.90 2.65 PISO 3 14.91 7,052,855.88 43,504,153.62 2.65 PISO 4 14.90 7,052,855.88 43,504,153.62 2.65 PISO 5 14.90 7,052,855.88 43,504,153.62 2.65 PISO 6 14.91 7,052,855.88 43,504,153.62 2.65 PISO 7 13.42 6,770,598.53 35,701,116.11 2.65

PISO AREA Kx Ky Avi<0.85Avi+1SEMISÓTANO 27.72 145,687,404.42 177,395,452.73 OK!

PISO 1 26.06 11,200,302.57 74,439,112.01 OK!PISO 2 25.93 10,878,287.67 74,535,212.46 OK!PISO 3 26.34 12,460,045.39 76,857,338.06 OK!PISO 4 26.32 12,460,045.39 76,857,338.06 OK!PISO 5 26.32 12,460,045.39 76,857,338.06 OK!PISO 6 26.34 12,460,045.39 76,857,338.06 OK!PISO 7 23.71 11,961,390.74 63,071,971.79

IRREGULARIDAD DE MASA

PISO AREA (m2) PESO (Tn) Mi>1.5Mi+1 Mi+1>1.5MiSEMISÓTANO 355.56 355.56 OK! OK!

PISO 1 246.28 246.28 OK! OK!PISO 2 237.79 237.79 OK! OK!PISO 3 242.57 242.57 OK! OK!PISO 4 237.41 237.41 OK! OK!PISO 5 238.24 238.24 OK! OK!PISO 6 242.04 242.04 OK! OK!PISO 7 235.28 235.28

IRREGULARIDAD GEOMETRICA VERTICAL

PISO D (m) Di>1.30Di+1SEMISÓTANO 19.8 OK!

PISO 1 17.0 OK!PISO 2 17.0 OK!PISO 3 17.0 OK!PISO 4 17.0 OK!PISO 5 17.0 OK!PISO 6 17.0 OK!PISO 7 17.0

IRREGULARIDAD DE ESQUINAS ENTRANTES

PISO Dy Ly Dy>0.20LySEMISÓTANO 0 0 OK!

PISO 1 4.55 17 IRREG!PISO 2 4.55 17 IRREG!PISO 3 4.55 17 IRREG!PISO 4 4.55 17 IRREG!PISO 5 4.55 17 IRREG!PISO 6 4.55 17 IRREG!PISO 7 4.55 17 IRREG!

DISCONTINUIDAD DEL DIAFRAGMA

PISO AREA TOTAL (m2) AREA VACIOS (m2) Aab>0.5AtotSEMISÓTANO 388.00 32.44 OK!

PISO 1 259.65 13.37 OK!PISO 2 254.82 17.03 OK!

PISO 3 259.59 17.02 OK!PISO 4 254.34 16.93 OK!PISO 5 255.31 17.07 OK!PISO 6 259.12 17.08 OK!PISO 7 254.50 19.22 OK!

Avi<0.30(Avi+1 + Avi+2 + Avi+3) Kxi<0.85Kxi+1 Kxi<0.30(Kxi+1 + Kxi+2 + Kxi+3) Kyi<0.85Kyi+1OK! OK! OK! OK!OK! OK! OK! OK!OK! OK! IRREG.! OK!OK! OK! OK! OK!OK! OK! OK! OK!OK! OK! OK! OK!

OK! OK!

cos 0.998 10,551.17 sen 0.063 666.06

L t K 25.00 215.00 10,572.31

x y1 9,588.84 514,972.11 2 9,588.84 514,972.11 3 672,930.30 10,572.31 456

692,107.98 1,040,516.53

Kyi<0.30(Kyi+1 + Kyi+2 + Kyi+3)OK!OK!OK!OK!OK!OK!

CENTROS DE MASA

SEMISÓTANO

AREA TIPOCG

AREA X*A Y*AX YA1 P 8.90 7.36 368.41 3278.85 2711.50A2 N 10.94 -1.42 6.75 -73.85 9.58A3 N 18.68 7.85 0.28 -5.23 -2.20A4 N -0.07 7.76 0.26 0.02 -2.02A5 N 10.46 12.98 2.89 -30.23 -37.51A6 N 10.73 15.30 6.48 -69.53 -99.14A7 N 18.68 16.23 0.26 -4.86 -4.22A8 N -0.55 16.23 0.30 0.17 -4.87

385.63 3095.34 2571.12

XCG= 8.03YCG= 6.67

PISO 1

AREA TIPOCG

AREA X*A Y*AX YA1 P 9.34 6.65 261.94 2446.52 1741.90A2 N 14.55 6.27 3.24 -47.14 -20.31A3 N 13.96 7.85 0.18 -2.51 -1.41A4 N 10.13 6.68 0.45 -4.56 -3.01A5 N 4.81 7.88 0.29 -1.39 -2.29A6 N 10.46 12.97 2.89 -30.23 -37.48A7 N 10.73 15.30 6.48 -69.53 -99.14A8 N 7.71 13.78 0.20 -1.54 -2.76

275.67 2289.61 1575.50

XCG= 8.31YCG= 5.72

PISO 2

AREA TIPOCG

AREA X*A Y*AX YA1 P 9.34 6.65 261.94 2446.52 1741.90

A2 N 12.76 6.53 3.24 -41.34 -21.16A3 N 10.13 6.68 0.45 -4.56 -3.01A4 N 13.96 7.83 0.20 -2.79 -1.57A5 N 4.81 7.88 0.29 -1.39 -2.29A6 N 10.46 12.97 2.89 -30.23 -37.48A7 N 7.71 13.78 0.20 -1.54 -2.76A8 N 10.73 15.30 6.48 -69.53 -99.14

275.69 2295.13 1574.50

XCG= 8.33YCG= 5.71

PISO 3

AREA TIPOCG

AREA X*A Y*AX Y

A1 P 9.45 6.65 261.94 2475.33 1741.90A2 N 14.55 6.27 3.24 -47.14 -20.31A3 N 12.76 6.53 3.24 -41.34 -21.16A4 N 10.13 6.68 0.45 -4.56 -3.01A5 N 13.96 7.85 0.18 -2.51 -1.41A6 N 4.81 7.88 0.29 -1.39 -2.29A7 N 10.46 12.97 2.89 -30.23 -37.48A8 N 7.71 13.78 0.20 -1.54 -2.76A9 N 10.73 15.30 6.48 -69.53 -99.14

278.91 2277.08 1554.34

XCG= 8.16YCG= 5.57

PISO 4

AREA TIPOCG

AREA X*A Y*AX YA1 P 9.45 6.65 261.95 2475.43 1741.97A2 N 10.13 6.68 0.45 -4.56 -3.01

A3 N 13.98 7.83 0.23 -3.22 -1.80A4 N 4.81 7.88 0.29 -1.39 -2.29A5 N 10.46 12.97 2.89 -30.23 -37.48A6 N 7.70 13.77 0.21 -1.62 -2.89

A7 N 10.73 15.30 6.48 -69.53 -99.14272.50 2364.88 1595.36

XCG= 8.68YCG= 5.85

PISO 5

AREA TIPOCG

AREA X*A Y*AX YA1 P 9.39 6.79 256.66 2410.04 1742.72A2 N 14.55 6.27 3.24 -47.14 -20.31A3 N 12.76 6.53 3.24 -41.34 -21.16A4 N 10.13 6.68 0.45 -4.56 -3.01A5 N 13.96 7.85 0.18 -2.51 -1.41A6 N 4.81 7.88 0.29 -1.39 -2.29

A7 N 10.46 12.97 2.89 -30.23 -37.48A8 N 7.71 13.78 0.20 -1.54 -2.76A9 N 10.73 15.30 6.48 -69.53 -99.14

273.63 2211.79 1555.16

XCG= 8.08YCG= 5.68

PISO 6

AREA TIPOCG

AREA X*A Y*AX YA1 P 9.40 6.66 261.47 2457.82 1741.39A2 N 9.83 6.67 0.18 -1.77 -1.20A3 N 13.96 7.90 0.27 -3.77 -2.13A4 N 4.81 7.88 0.29 -1.39 -2.29A5 N 10.46 12.97 2.89 -30.23 -37.48A6 N 7.71 13.78 0.20 -1.54 -2.76A7 N 10.73 15.30 6.48 -69.53 -99.14

271.78 2349.58 1596.39

XCG= 8.65YCG= 5.87

PISO 7

AREA TIPOCG

AREA X*A Y*AX YA1 P 9.40 6.66 261.43 2457.44 1741.12A2 N 13.18 6.18 3.29 -43.36 -20.33A3 N 5.61 6.17 3.38 -18.96 -20.85A4 N 9.83 6.68 0.18 -1.77 -1.20A5 N 14.00 7.90 0.21 -2.94 -1.66A6 N 13.03 7.80 1.21 -15.77 -9.44A7 N 5.73 7.80 1.21 -6.93 -9.44A8 N 4.76 7.88 0.23 -1.09 -1.81A9 N 10.88 10.55 0.64 -6.96 -6.75A10 N 8.33 10.80 2.21 -18.41 -23.87A11 N 10.46 12.98 2.89 -30.23 -37.51A12 N 7.71 13.78 0.20 -1.54 -2.76

277.08 2309.47 1605.50

XCG= 8.34YCG= 5.79

PISO XCG YCGSEMISÓTANO 8.03 6.67

PISO 1 8.31 5.72PISO 2 8.33 5.71PISO 3 8.16 5.57PISO 4 8.68 5.85PISO 5 8.08 5.68PISO 6 8.65 5.87PISO 7 8.34 5.79

PISO XCG YCG XCR YCR Lx LySEMISÓTANO 8.03 6.67 9.46 7.12 20.2 19.8

PISO 1 8.31 5.72 9.50 7.36 19.82 17.25PISO 2 8.33 5.71 9.88 7.32 19.82 17.25PISO 3 8.16 5.57 9.85 7.69 19.82 17.25PISO 4 8.68 5.85 9.85 7.69 19.82 17.25PISO 5 8.08 5.68 9.85 7.69 19.82 16.75PISO 6 8.65 5.87 9.85 7.69 19.82 17.25PISO 7 8.34 5.79 9.48 7.88 19.82 17.25

SOLUCION

ycr= 7.52

CENTRO DE RIGIDEZ

SEMISÓTANOELEMENTO NOMBRE Kx (tn/m) Ky (tn/m) Xcg (m)

PLACA M4, M5, M6 5,930,210.76 42,389.87 7.98PLACA M1, M6 465,453.50 7,373,374.53 -0.34PLACA M1, M2 52,759.64 7,474,148.44 19PLACA P2 251,033.06 517,935.01 3.78PLACA P3 12,851.29 459,171.81 9.51PLACA P4 148,710.24 566,574.39 15.14

COLUMNA COL 50x60 52,174.92 75,131.89 2.63COLUMNA Col 50x60 52,174.92 75,131.89 15.73

PLACA P1 2,209,737.53 1,113,069.54 10.24PLACA M1 2,227,389.27 18,351.18 15.73PLACA M1 3,166,245.31 24,266.74 3.44PLACA P9 4,199.16 322.03 0.47PLACA P11 601,055.08 2,342.02 5.50PLACA P12 601,055.08 2,342.02 13.58

15,775,049.76 17,744,551.34

XCR= 9.46 mYCR= 7.12 m

PISO 1ELEMENTO NOMBRE Kx (tn/m) Ky (tn/m) Xcg (m)

PLACA P7 54,885.98 869,463.54 -0.12PLACA P2-A 20,232.75 320,512.41 3.26PLACA P4-A 1,991.53 330,709.52 15.71PLACA P8 1,889.77 886,356.88 18.98PLACA P3 13,592.83 796,241.82 9.51PLACA P2-B 36,620.83 16,161.09 3.61PLACA P4-B 35,784.37 2,910.44 15.11PLACA P5 17,513.67 277,438.83 -0.51PLACA P6 1,007.88 257,216.19 18.98

COLUMNA COL 50x60 9,462.33 13,625.75 2.63COLUMNA COL 50x60 9,462.33 13,625.75 15.73

PLACA P1 431,535.13 429,272.42 10.25PLACA P9 821.70 59.57 0.47PLACA P11 192,912.14 425.46 5.50PLACA P2 192,912.14 425.46 13.58

1,020,625.38 4,214,445.13

XCR= 9.50 mYCR= 7.36 m

PISO 2ELEMENTO NOMBRE Kx (tn/m) Ky (tn/m) Xcg (m)

PLACA P7 54,885.98 869,463.54 -0.12PLACA P2-A 20,232.75 320,512.41 3.26PLACA P4 23,368.87 600,477.23 15.52PLACA P8 1,889.77 886,356.88 18.98PLACA P3-A 12,851.29 459,171.81 9.51PLACA P2-B 33,197.92 16,060.73 3.60PLACA P3-B 373.72 3,391.70 9.51PLACA P5 17,513.67 277,438.83 -0.51PLACA P6 1,007.88 257,216.19 18.98

COLUMNA COL 50x60 9,462.33 13,625.75 2.63COLUMNA COL 50x60 9,462.33 13,625.75 15.73

PLACA P1 431,879.34 505,025.17 10.23PLACA P9 821.70 59.57 0.47PLACA P11 192,912.14 425.46 5.50PLACA P12 192,912.14 425.46 13.58

1,002,771.83 4,223,276.48

XCR= 9.88 mYCR= 7.32 m

PISO 3ELEMENTO NOMBRE Kx (tn/m) Ky (tn/m) Xcg (m)

PLACA P7 54,848.81 868,874.87 -0.12PLACA P2-A 20,486.60 324,533.80 3.26PLACA P4 23,368.87 600,477.23 15.52PLACA P8 1,889.77 886,356.88 18.98PLACA P3-A 12,851.29 459,171.81 9.51PLACA P2-B 36,620.83 16,161.09 3.61PLACA P5 17,608.62 278,942.85 -0.51PLACA P3-B 373.72 3,391.70 9.51PLACA P6 1,007.88 257,216.19 18.98

COLUMNA COL 50x60 52,174.92 75,131.89 2.63COLUMNA COL 50x60 52,174.92 75,131.89 15.73

PLACA P1 431,879.34 505,025.17 10.23PLACA P9 821.70 59.57 0.47PLACA P11 192,912.14 425.46 5.50PLACA P2 192,912.14 425.46 13.58

1,091,931.55 4,351,325.86

XCR= 9.85 mYCR= 7.69 m

PISO 4ELEMENTO NOMBRE Kx (tn/m) Ky (tn/m) Xcg (m)

PLACA P7 54,848.81 868,874.87 -0.12PLACA P2-A 20,486.60 324,533.80 3.26PLACA P4 23,368.87 600,477.23 15.52PLACA P8 1,889.77 886,356.88 18.98PLACA P3-A 12,851.29 459,171.81 9.51PLACA P2-B 36,620.83 16,161.09 3.61PLACA P5 17,608.62 278,942.85 -0.51PLACA P3-B 373.72 3,391.70 9.51PLACA P6 1,007.88 257,216.19 18.98

COLUMNA COL 50x60 52,174.92 75,131.89 2.63COLUMNA COL 50x60 52,174.92 75,131.89 15.73

PLACA P1 431,879.34 505,025.17 10.23PLACA P9 821.70 59.57 0.47PLACA P11 192,912.14 425.46 5.50PLACA P2 192,912.14 425.46 13.58

1,091,931.55 4,351,325.86

XCR= 9.85 mYCR= 7.69 m

PISO 5ELEMENTO NOMBRE Kx (tn/m) Ky (tn/m) Xcg (m)

PLACA P7 54,848.81 868,874.87 -0.12PLACA P2-A 20,486.60 324,533.80 3.26PLACA P4 23,368.87 600,477.23 15.52PLACA P8 1,889.77 886,356.88 18.98PLACA P3-A 12,851.29 459,171.81 9.51PLACA P2-B 36,620.83 16,161.09 3.61PLACA P5 17,608.62 278,942.85 -0.51PLACA P3-B 373.72 3,391.70 9.51PLACA P6 1,007.88 257,216.19 18.98

COLUMNA COL 50x60 52,174.92 75,131.89 2.63COLUMNA COL 50x60 52,174.92 75,131.89 15.73

PLACA P1 431,879.34 505,025.17 10.23PLACA P9 821.70 59.57 0.47PLACA P11 192,912.14 425.46 5.50PLACA P2 192,912.14 425.46 13.58

1,091,931.55 4,351,325.86

XCR= 9.85 mYCR= 7.69 m

PISO 6ELEMENTO NOMBRE Kx (tn/m) Ky (tn/m) Xcg (m)

PLACA P7 54,848.81 868,874.87 -0.12PLACA P2-A 20,486.60 324,533.80 3.26PLACA P4 23,368.87 600,477.23 15.52PLACA P8 1,889.77 886,356.88 18.98PLACA P3-A 12,851.29 459,171.81 9.51PLACA P2-B 36,620.83 16,161.09 3.61PLACA P5 17,608.62 278,942.85 -0.51PLACA P3-B 373.72 3,391.70 9.51PLACA P6 1,007.88 257,216.19 18.98

COLUMNA COL 50x60 52,174.92 75,131.89 2.63COLUMNA COL 50x60 52,174.92 75,131.89 15.73

PLACA P1 431,879.34 505,025.17 10.23PLACA P9 821.70 59.57 0.47PLACA P11 192,912.14 425.46 5.50PLACA P2 192,912.14 425.46 13.58

1,091,931.55 4,351,325.86

XCR= 9.85 mYCR= 7.69 m

PISO 7ELEMENTO NOMBRE Kx (tn/m) Ky (tn/m) Xcg (m)

PLACA P7 54,848.81 868,874.87 -0.12PLACA P2-A 1,029.47 16,308.14 3.34PLACA P4-A 639.26 16,340.82 15.70PLACA P8 1,889.77 886,356.88 18.98PLACA P2-B 1,599.93 25,344.91 3.18PLACA P3 2,458.68 521,513.71 9.51PLACA P4-B 762.19 27,050.20 15.70PLACA P2-C 36,620.83 16,161.09 3.61PLACA P4-C 22,365.23 713.02 15.10PLACA P5 17,608.62 278,942.85 -0.51PLACA P6 1,007.88 257,216.19 18.98

COLUMNA COL 50x60 52,174.92 75,131.89 2.63COLUMNA COL 50x60 52,174.92 75,131.89 15.73

PLACA P1 431,879.34 505,025.17 10.23PLACA P9 821.70 59.57 0.47PLACA P11 192,912.14 425.46 5.50PLACA P2 192,912.14 425.46 13.58

1,063,705.83 3,571,022.12

XCR= 9.48 m

YCR= 7.88 m

ex ey Cumple en X? Cumple en Y?1.44 0.45 OK! OK!1.19 1.64 OK! OK!1.55 1.61 OK! OK!1.68 2.12 OK! OK!1.17 1.84 OK! OK!1.76 2.01 OK! OK!1.20 1.82 OK! OK!1.15 2.08 OK! OK!

Ycg (m) Ky*Xi Kx*Yi-2.87 338,271.19 -17,019,704.88 6.9 -2,506,947.34 3,211,629.16

6.78 142,008,820.36 357,710.35 3.86 1,957,794.34 968,987.61 2.67 4,366,723.93 34,312.95 3.8 8,577,936.23 565,098.92

12.2 197,596.86 636,534.02 12.2 1,181,824.55 636,534.02

14.88 11,397,832.09 32,880,894.46 16.68 288,664.05 37,152,853.04 16.68 83,477.57 52,812,971.69 0.08 151.35 335.93 0.08 12,881.11 48,084.41 0.08 31,804.63 48,084.41

167,936,830.93 112,334,326.10

Ycg (m) Ky*Xi Kx*Yi3.71 -104,335.62 203,626.99 2.01 1,044,870.46 40,667.83 2.03 5,195,446.56 4,042.81 3.75 16,823,053.58 7,086.64 3.41 7,572,259.71 46,351.55 5.29 58,341.53 193,724.19 5.15 43,976.75 184,289.51

10.13 -141,493.80 177,413.48 10.2 4,881,963.29 10,280.38 12.2 35,835.72 115,440.43 12.2 214,333.05 115,440.43

14.79 4,400,042.31 6,382,404.57 0.08 28.00 65.74 0.08 2,340.03 15,432.97 0.08 5,777.75 15,432.97

40,032,439.30 7,511,700.46

Ycg (m) Ky*Xi Kx*Yi3.71 -104,335.62 203,626.99 2.00 1,044,870.46 40,465.50 3.33 9,319,406.61 77,818.34 3.75 16,823,053.58 7,086.64 2.67 4,366,723.91 34,312.94 5.29 57,818.63 175,617.00 6.68 32,255.07 2,496.45

10.13 -141,493.80 177,413.48 10.20 4,881,963.29 10,280.38 12.20 35,835.72 115,440.43 12.20 214,333.05 115,440.43 14.70 5,166,407.49 6,348,626.30 0.08 28.00 65.74 0.08 2,340.03 15,432.97 0.08 5,777.75 15,432.97

41,704,984.15 7,339,556.53

Ycg (m) Ky*Xi Kx*Yi3.71 -104,264.98 203,489.09 2.00 1,057,980.19 40,973.20 3.33 9,319,406.61 77,818.34 3.75 16,823,053.58 7,086.64 2.67 4,366,723.91 34,312.94 5.29 58,341.53 193,724.19

10.13 -142,260.85 178,375.32 6.68 32,255.07 2,496.45

10.20 4,881,963.29 10,280.38 12.20 197,596.87 636,534.02 12.20 1,181,824.63 636,534.02 14.70 5,166,407.49 6,348,626.30 0.08 28.00 65.74 0.08 2,340.03 15,432.97 0.08 5,777.75 15,432.97

42,847,173.11 8,401,182.57

Ycg (m) Ky*Xi Kx*Yi3.71 -104,264.98 203,489.09 2.00 1,057,980.19 40,973.20 3.33 9,319,406.61 77,818.34 3.75 16,823,053.58 7,086.64 2.67 4,366,723.91 34,312.94 5.29 58,341.53 193,724.19

10.13 -142,260.85 178,375.32 6.68 32,255.07 2,496.45

10.20 4,881,963.29 10,280.38 12.20 197,596.87 636,534.02 12.20 1,181,824.63 636,534.02 14.70 5,166,407.49 6,348,626.30 0.08 28.00 65.74 0.08 2,340.03 15,432.97 0.08 5,777.75 15,432.97

42,847,173.11 8,401,182.57

Ycg (m) Ky*Xi Kx*Yi3.71 -104,264.98 203,489.09 2.00 1,057,980.19 40,973.20 3.33 9,319,406.61 77,818.34 3.75 16,823,053.58 7,086.64 2.67 4,366,723.91 34,312.94 5.29 58,341.53 193,724.19

10.13 -142,260.85 178,375.32 6.68 32,255.07 2,496.45

10.20 4,881,963.29 10,280.38 12.20 197,596.87 636,534.02 12.20 1,181,824.63 636,534.02 14.70 5,166,407.49 6,348,626.30 0.08 28.00 65.74 0.08 2,340.03 15,432.97 0.08 5,777.75 15,432.97

42,847,173.11 8,401,182.57

Ycg (m) Ky*Xi Kx*Yi3.71 -104,264.98 203,489.09 2.00 1,057,980.19 40,973.20 3.33 9,319,406.61 77,818.34 3.75 16,823,053.58 7,086.64 2.67 4,366,723.91 34,312.94 5.29 58,341.53 193,724.19

10.13 -142,260.85 178,375.32 6.68 32,255.07 2,496.45

10.20 4,881,963.29 10,280.38 12.20 197,596.87 636,534.02 12.20 1,181,824.63 636,534.02 14.70 5,166,407.49 6,348,626.30 0.08 28.00 65.74 0.08 2,340.03 15,432.97 0.08 5,777.75 15,432.97

42,847,173.11 8,401,182.57

Ycg (m) Ky*Xi Kx*Yi3.71 -104,264.98 203,489.09 0.65 54,469.19 669.16 0.65 256,550.87 415.52 3.75 16,823,053.58 7,086.64 3.26 80,596.81 5,215.77 3.05 4,959,595.38 7,498.97 3.28 424,688.14 2,499.98 5.29 58,341.53 193,724.19 5.15 10,766.60 115,180.93

10.13 -142,260.85 178,375.32 10.20 4,881,963.29 10,280.38 12.20 197,596.87 636,534.02 12.20 1,181,824.63 636,534.02 14.70 5,166,407.49 6,348,626.30 0.08 28.00 65.74 0.08 2,340.03 15,432.97 0.08 5,777.75 15,432.97

33,857,474.33 8,377,061.97

SEMISÓTANOLOSA ALIGERADAPeso propio (h=0.25m) = 350 kg/m2Peso muerto (acabados)= 100 kg/m2Tabiquería= 100 kg/m2Carga muerta (CM)= 550 kg/m2Carga viva (RNE)= 200 kg/m2

LOSAS

PAÑO TIPO UBICACIÓN LARGO (m) ANCHO (m)1 A A/C y 2/3 3.30 0.95 2 M2 A/C y 2/3 3.30 0.19 3 A A/C y 2/3 3.30 1.81 4 M1 A/B y 2/3 1.05 0.25 5 M2 A/C y 3/4 3.30 0.25 6 A A/C y 3/4 4.75 3.30 7 M2 A/C y 3/4 3.30 0.10 8 A A/C y 3/4 3.30 0.61 9 M2 A/C y 3/4

10 M2 A/C y 4/511 A A/C y 4/5 3.30 2.61 12 M2 A/C y 4/513 A B/C y 2/3 2.00 0.10 14 M2 B/C y 2/3 4.10 0.19 15 A B/C y 2/3 1.85 0.99 16 M2 B/C y 2/3 1.85 0.06 17 A B/C y 2/3 4.56 4.10 18 M2 B/C y 3/4 4.10 0.25 19 A B/C y 3/4 4.50 4.10 20 M2 B/C y 3/4 2.00 0.10 21 A B/C y 3/4 2.00 0.61 22 M2 B/C y 3/423 M2 B/C y 3/4 1.85 0.20 24 A B/C y 3/4 1.85 0.61 25 M2 B/C y 3/426 M2 B/C y 4/527 A B/C y 4/528 M2 B/C y 4/529 M2 B/C y 1/2 3.05 0.35 30 A B/C y 1/2 3.05 1.00 31 A C/D y 1/2 3.05 1.90 32 A C/D y 1/2 2.50 0.70 33 A C/D y 1/2 3.40 3.05 34 A C/D y 2/335 A C/D y 2/3 5.95 3.40 36 A C/D y 2/3 2.85 2.70 37 A C/D y 2/3 1.00 0.95

38 A C/D y 2/3 1.00 1.00 39 A C/D y 3/440 A C/D y 3/4 4.20 0.65 41 A C/D y 3/442 A C/D y 3/443 A C/D y 4/544 M2 C/D y 4/545 M2 C/D y 4/546 A C/D y 4/547 A C/D y 4/548 M2 D/E y 1/2 3.55 0.40 49 A D/E y 1/2 4.35 2.50 50 M2 D/E y 1/2 4.05 0.15 51 M2 D/E y 2/352 A D/E y 2/3 4.35 3.00 53 M2 D/E y 2/3 1.65 0.60 54 M1 D/E y 3/4 4.30 1.20 55 M2 D/E y 3/4 4.35 0.05 56 A D/E y 3/4 5.00 4.35 57 M2 D/E y 3/4 4.05 0.10 58 M2 D/E y 4/559 A D/E y 4/5 4.35 2.61 60 M2 D/E y 4/5

PISO 1LOSA ALIGERADAPeso propio (h=0.25m) = 350 kg/m2Peso muerto (acabados)= 100 kg/m2Tabiquería= 100 kg/m2Carga muerta (CM)= 550 kg/m2Carga viva (RNE)= 200 kg/m2

LOSAS

PAÑO TIPO UBICACIÓN LARGO (m) ANCHO (m)1 M1 A/B y 1/42 M1 A/B y 4/53 M2 B/C y 1/2 4.65 0.30 4 A B/C y 1/2 4.65 2.75 5 M1 B/C y 2/3 5.95 0.35 6 A B/C y 2/3 5.95 4.10 7 M1 B/C y 3/48 M2 B/C y 3/4 4.10 0.32 9 A B/C y 3/4 5.65 4.10

10 M2 B/C y 3/411 M2 B/C y 4/512 A B/C y 4/5 4.65 2.61

13 M2 B/C y 4/514 M2 C/D y 1/2 2.80 0.32 15 A C/D y 1/2 2.80 1.58 16 M2 C/D y 1/2 2.25 0.09 17 A C/D y 1/2 2.25 0.61 18 A C/D y 1/2 3.40 2.80 19 A C/D y 2/3 0.80 0.80 20 A C/D y 2/3 1.40 0.40 21 A C/D y 2/3 5.95 3.40 22 A C/D y 2/3 2.79 2.10 23 A C/D y 2/3 2.79 0.40 24 A C/D y 2/3 1.00 0.95 25 A C/D y 2/3 1.00 1.00 26 A C/D y 3/427 A C/D y 3/4 4.15 0.65 28 A C/D y 3/429 A C/D y 3/430 A C/D y 4/531 M2 C/D y 4/532 M2 C/D y 4/533 A C/D y 4/5 2.37 0.65 34 M2 C/D y 4/535 A C/D y 4/536 M1 D/E y 3/4 4.30 1.20 37 M1 D/E y 3/4 1.20 0.45

AZOTEALOSA ALIGERADAPeso propio (h=0.25m) = 350 kg/m2Peso muerto (acabados)= 100 kg/m2Tabiquería= 100 kg/m2Carga muerta (CM)= 550 kg/m2Carga viva (RNE)= 200 kg/m2

LOSAS

PAÑO TIPO UBICACIÓN LARGO (m) ANCHO (m)1 M2 C/D y 1/2 2.15 0.40 2 M2 C/D y 1/2 0.95 0.40 3 A C/D y 1/2 3.80 2.65 4 A C/D y 1/2 1.90 0.95 5 A C/D y 2/3 3.80 1.15 6 M2 C/D y 2/3 1.75 1.65 7 M2 C/D y 2/3 0.45 0.35 8 M2 C/D y 2/3 1.05 1.00

9 M2 C/D y 2/3 1.75 0.65 10 A C/D y 2/3 3.80 1.00 11 A C/D y 2/3 1.55 0.85 12 M2 C/D y 2/3 0.95 0.40 13 A C/D y 3/4 1.55 1.35 14 A C/D y 3/4 3.80 1.15 15 M2 C/D y 3/4 1.80 1.65 16 M2 C/D y 3/4 1.10 1.00 17 M2 C/D y 3/4 0.45 0.30 18 M2 C/D y 3/4 1.80 0.65 19 A C/D y 3/4 3.80 1.15 20 M2 C/D y 3/421 M2 C/D y 4/522 A C/D y 4/523 M2 C/D y 4/524 M2 C/D y 4/525 A C/D y 4/526 M1 D/E y 2/3 1.75 1.65

RIGIDECES DEL SEMISÓTANO

ELEMENTO NOMBRE Kx (tn/m) Ky (tn/m)PLACA M4, M5, M6 5,930,210.76 42,389.87 PLACA M1, M6 465,453.50 7,373,374.53 PLACA M1, M2 52,759.64 7,474,148.44 PLACA P2 251,033.06 517,935.01 PLACA P3 12,851.29 459,171.81 PLACA P4 148,710.24 566,574.39

COLUMNA COL 50x60 52,174.92 75,131.89 COLUMNA Col 50x60 52,174.92 75,131.89

PLACA P1 2,209,737.53 1,113,069.54 PLACA M1 2,227,389.27 18,351.18 PLACA M1 3,166,245.31 24,266.74 PLACA P9 4,199.16 322.03 PLACA P11 601,055.08 2,342.02 PLACA P12 601,055.08 2,342.02

0 0 15,775,049.76 17,744,551.34

RIGIDECES DEL PISO 1

ELEMENTO NOMBRE Kx (tn/m) Ky (tn/m)PLACA P7 54,885.98 869,463.54 PLACA P2-A 20,232.75 320,512.41 PLACA P4-A 1,991.53 330,709.52 PLACA P8 1,889.77 886,356.88 PLACA P3 13,592.83 796,241.82 PLACA P2-B 36,620.83 16,161.09 PLACA P4-B 35,784.37 2,910.44 PLACA P5 17,513.67 277,438.83 PLACA P6 1,007.88 257,216.19

COLUMNA COL 50x60 9,462.33 13,625.75 COLUMNA COL 50x60 9,462.33 13,625.75

PLACA P1 431,535.13 429,272.42 PLACA P9 821.70 59.57 PLACA P11 192,912.14 425.46 PLACA P2 192,912.14 425.46

0 0 1,020,625.38 4,214,445.13

RIGIDEZ DE LA AZOTEAAzoteaELEMENTO NOMBRE Kx (kg/cm) Ky (kg/cm)

PLACA P8 6,425.23 849,370.20 PLACA P6 10,078.80 2,572,161.91 PLACA P4 516,670.09 33,118.75

COLUMNA COL 25x60 11,827.91 68,128.75 PLACA P2 507,875.19 32,918.03 PLACA P7 48,676.62 771,099.50 PLACA P5 176,086.17 2,789,428.51

COLUMNA COL 50x60 52,174.92 75,131.89 PLACA P1 692,107.98 1,040,516.53

COLUMNA COL 50x60 52,174.92 75,131.89 2,074,097.83 8,307,005.95

MODELOS DINAMICOS EJE X MASAkg-f.s2/cm

Azotea 88,576.17

Piso 7 250,781.37

Piso 6 250,781.37

Piso 5 250,781.37

Piso 4 250,781.37

Piso 3 250,781.37

Piso 2 250,781.37

Piso 1 250,781.37

Semisótano 310,446.19

EJE X

MATRIZ DE MASA1 2 3

1 310,446.19 - - 2 - 250,781.37 - 3 - - 250,781.37 4 - - - 5 - - - 6 - - - 7 - - - 8 - - - 9 - - -

MATRIZ DE RIGIDEZ1 2 3

1 167,956,751.41 -10,206,253.80 - 2 -10,206,253.80 20,233,972.10 -10,027,718.30 3 - -10,027,718.30 20,947,033.80 4 - - -10,919,315.50 5 - - - 6 - - - 7 - - - 8 - - - 9 - - -

MATRIZ DE MASA (tn-f.s2/m)1 2 3

1 31,044.62 - - 2 - 25,078.14 - 3 - - 25,078.14 4 - - - 5 - - - 6 - - - 7 - - - 8 - - - 9 - - -

MATRIZ DE RIGIDEZ (tn-f/m)1 2 3

1 16,795,675.14 -1,020,625.38 - 2 -1,020,625.38 2,023,397.21 -1,002,771.83 3 - -1,002,771.83 2,094,703.38 4 - - -1,091,931.55 5 - - - 6 - - - 7 - - - 8 - - - 9 - - -

z11 1.00 z21 0.09 z31z41z51z61z71z81z91

Para ω1=

LOSA MACIZA (M1) LOSA MACIZA (M2)Peso propio (h=0.20m)= 480 kg/m2 Peso propio (h=0.25m)=Peso muerto (acabados)= 100 kg/m2 Peso muerto (acabados)=Tabiquería= 100 kg/m2 Tabiquería=Carga muerta (CM)= 680 kg/m2 Carga muerta (CM)=Carga viva (RNE)= 200 kg/m2 Carga viva (RNE)=

VIGAS

ÁREA (m2) PESO (kg) VIGA UBICACIÓN BASE (m) 3.14 1,724.25 VSS-18 Eje 2 A/C 0.25 0.63 501.60 VSS-16 A/C y 2/3 0.25 5.97 3,285.15 V-4 A/C y 2/3 0.15 0.26 178.50 VSS-17A Eje 3 A/C 0.25 0.83 660.00 VSS-16 A/Cy 3/4 0.25 15.67 8,621.25 VSS-13 Eje 4 A/C 0.25 0.31 250.80 V-7 B/C y 1/2 0.15 2.01 1,107.15 VSS-12 B/C y 2/3 0.30 0.33 264.00 V-10 B/C y 2/3 0.15 1.15 920.00 VSS-12 B/C y 2/3 0.30 8.61 4,737.15 VSS-12 B/C y 2/3 0.30 0.33 264.00 VSS-11 B/C y 3/4 0.30 0.19 104.50 VSS-11 B/C y 3/4 0.30 0.78 623.20 V-10 B/C y 3/4 0.15 1.83 1,007.33 VSS-10 B/C y 4/5 0.30 0.11 88.80 VSS-9 Eje C 1/2 0.40 18.70 10,282.80 V-9 C/D y 1/2 0.25 1.03 820.00 V-1 C/D y 1/2 0.15 18.45 10,147.50 VSS-24 C/D y 1/2 0.30 0.19 152.00 VSS-19 Eje 2 C/D 0.25 1.22 671.00 VSS-25 C/D y 2/3 0.15 0.56 448.00 V-10 C/D y 2/3 0.15 0.37 296.00 V-1 C/D y 2/3 0.15 1.13 620.68 V-1 C/D y 2/3 0.15 0.77 616.00 VSS-23 C/D y 2/3 0.45 0.43 344.00 VSS-17A Eje 3 C/D 0.25 10.70 5,885.00 VSS-8 Eje C 2/3 0.40 1.40 1,120.00 VSS-7 Eje C 3/4 0.40 1.07 854.00 V-8 C/D y 3/4 0.33 3.05 1,677.50 V-1 C/D y 3/4 0.15 5.79 3,187.25 V-1 C/D y 3/4 0.15 1.75 962.50 VSS-22 C/D y 3/4 0.30 10.37 5,703.50 VSS-14 Eje 4 C/D 0.25 4.66 2,563.00 VSS-6 Eje C 4/5 0.40 20.23 11,126.50 V-9 C/D y 4/5 0.25 7.70 4,232.25 V-1 C/D y 4/5 0.15 0.95 522.50 VSS-21 C/D y 4/5 0.25

1.00 550.00 VSS-5 Eje D 1/2 0.30 11.70 6,435.00 V-1 D/E y 1/2 0.15 2.73 1,501.50 VSS-20 Eje 2 D/E 0.25 0.91 500.50 VSS-4 Eje D 2/3 0.30 22.08 12,144.00 V-3 D/E y 2/3 0.25 5.41 2,975.50 VSS-3 Eje D 2/3 0.20 0.08 64.00 VSS-2 Eje D 3/4 0.30 0.27 216.00 V-3 D/E y 3/4 0.25 1.62 891.00 VSS-15 D/E y 3/4 0.25 10.58 5,819.00 VSS-1 Eje D 4/5 0.30 1.42 1,136.00 V-1 D/E y 4/5 0.15 10.88 5,981.25 0.61 486.00 1.06 848.00 13.05 7,177.50 0.99 792.00 5.16 3,508.80 0.20 160.08 21.75 11,962.50 0.41 324.00 1.01 808.00 11.35 6,244.42 1.16 928.00

158,022.70

LOSA MACIZA (M1) LOSA MACIZA (M2)Peso propio (h=0.20m)= 480 kg/m2 Peso propio (h=0.25m)=Peso muerto (acabados)= 100 kg/m2 Peso muerto (acabados)=Tabiquería= 100 kg/m2 Tabiquería=Carga muerta (CM)= 680 kg/m2 Carga muerta (CM)=Carga viva (RNE)= 200 kg/m2 Carga viva (RNE)=

VIGAS

ÁREA (m2) PESO (kg) VIGA UBICACIÓN BASE (m) 3.64 2,475.20 V-6 A/B y 4/5 0.81 550.80 VT-22A Eje 2 B/C 1.40 1,116.00 VT-19 Eje B 1/2 0.30 12.79 7,033.13 VT-17,18 Eje B 2/4 0.20 2.08 1,416.10 V-9 Eje 3 B/C 0.25 24.40 13,417.25 VT-15 B/C y 2/3 0.30 2.06 1,400.80 VT-14 B/C y 3/4 0.30 1.31 1,049.60 VT-20A Eje 4 B/C 0.25 23.17 12,740.75 VT-16 Eje B 4/5 0.30 0.51 408.00 VT-13 Eje C 1/2 0.40 1.41 1,128.00 VT-22 Eje 2 C/D 12.14 6,675.08 V-8 C/D y 1/2 0.25

0.65 520.00 V-1 C/D y 1/2 0.15 0.90 716.80 VT-9 C/D y 1/2 0.30 4.42 2,433.20 VT-12 Eje C 2/3 0.40 0.20 162.00 VT-21 Eje 3 C/D 0.30 1.37 754.88 VT-11 Eje C 3/4 0.40 9.52 5,236.00 VT-20 Eje 4 C/D 0.64 352.00 V-2 C/D y 3/4 0.33 0.56 308.00 V-1 C/D y 3/4 0.15 20.23 11,126.50 V-1 C/D y 3/4 0.15 5.86 3,222.45 VT-7 C/D y 3/4 0.30 1.12 613.80 VT-10 Eje C 4/5 0.40 0.95 522.50 V-3 C/D y 4/5 0.25 1.00 550.00 V-1 C/D y 4/5 0.15 11.37 6,253.50 VT-6 C/D y 4/5 0.30 2.70 1,483.63 VT-5 Eje D 1/2 0.30 0.83 456.50 VT-4 Eje D 2/3 0.30 21.57 11,863.50 VT-3 Eje D 2/3 0.20 5.19 2,854.50 VT-2 Eje D 3/4 0.30 0.74 592.00 V-4 D/E y 3/4 0.26 208.00 V-5 D/E y 3/4 1.54 847.28 VT-1 Eje D 4/5 0.30 0.19 152.00 9.91 5,450.50 5.16 3,508.80 0.54 367.20

109,966.22

LOSA MACIZA (M1) LOSA MACIZA (M2)Peso propio (h=0.20m)= 480 kg/m2 Peso propio (h=0.25m)=Peso muerto (acabados)= 100 kg/m2 Peso muerto (acabados)=Tabiquería= 100 kg/m2 Tabiquería=Carga muerta (CM)= 680 kg/m2 Carga muerta (CM)=Carga viva (RNE)= 200 kg/m2 Carga viva (RNE)=

VIGAS

ÁREA (m2) PESO (kg) VIGA UBICACIÓN BASE (m) 0.86 688.00 VA-11 Eje C 1/2 0.40 0.38 304.00 VA-12 Eje 2 C/D 0.25 10.07 5,538.50 VA-6A C/D y 1/2 0.25 1.81 992.75 V-1 C/D y 1/2 0.15 4.37 2,403.50 V-1 C/D y 1/2 0.15 2.89 2,310.00 VA-10 Eje C 2/3 0.40 0.16 126.00 VA-15 Eje 3 C/D 0.25 1.05 840.00 VA-13 C/D y 2/3 0.25

1.14 910.00 V-2 C/D y 2/3 0.25 3.80 2,090.00 V-4 C/D y 2/3 0.25 1.32 724.62 V-2 C/D y 2/3 0.25 0.38 304.00 V-3 C/D y 2/3 0.25 2.09 1,150.88 V-1 C/D y 2/3 0.15 4.37 2,403.50 V-1 C/D y 2/3 0.15 2.97 2,376.00 V-5 C/D y 2/3 0.15 1.10 880.00 V-5 C/D y 2/3 0.15 0.14 108.00 VA-9 Eje C 3/4 0.40 1.17 936.00 VA-12 Eje 4 C/D 0.25 4.37 2,403.50 V-1 C/D y 3/4 0.15 0.44 352.00 VA-14 C/D y 3/4 0.25 0.24 192.00 V-3 C/D y 3/4 0.25 9.89 5,439.50 VA-7A C/D y 2/3 0.25 0.70 560.00 VA-7A C/D y 3/4 0.25 0.52 416.00 V-2 C/D y 3/4 0.25 1.92 1,056.00 V-4 C/D y 3/4 0.25 2.89 1,963.50 V-2 C/D y 3/4 0.25

37,468.25 VA-13 C/D y 3/4 0.25 VA-8 Eje C 4/5 0.40 VA-6 C/D y 4/5 0.25 V-1 C/D y 4/5 0.15 V-1 C/D y 4/5 0.15 VA-5 Eje D 1/2 0.30 VA-4 Eje D 2/3 0.30 VA-3 Eje D 2/3 0.20 VA-2 Eje D 3/4 0.30 VA-1 Eje D 4/5 0.30

RIGIDECES DEL PISO 2 RIGIDECES DEL PISO 3

ELEMENTO NOMBRE Kx (tn/m) Ky (tn/m) ELEMENTOPLACA P7 54,885.98 869,463.54 PLACAPLACA P2-A 20,232.75 320,512.41 PLACAPLACA P4 23,368.87 600,477.23 PLACAPLACA P8 1,889.77 886,356.88 PLACAPLACA P3-A 12,851.29 459,171.81 PLACAPLACA P2-B 33,197.92 16,060.73 PLACAPLACA P3-B 373.72 3,391.70 PLACAPLACA P5 17,513.67 277,438.83 PLACAPLACA P6 1,007.88 257,216.19 PLACA

COLUMNA COL 50x60 9,462.33 13,625.75 COLUMNACOLUMNA COL 50x60 9,462.33 13,625.75 COLUMNA

PLACA P1 431,879.34 505,025.17 PLACAPLACA P9 821.70 59.57 PLACAPLACA P11 192,912.14 425.46 PLACAPLACA P12 192,912.14 425.46 PLACA

0 0 1,002,771.83 4,223,276.48 0

RIGIDEZ EJE Y MASAkg-f/cm kg-f.s2/cm

Azotea 88,576.17 2,074,097.83

Piso 7 250,781.37 10,637,058.30

Piso 6 250,781.37 10,919,315.50

Piso 5 250,781.37 10,919,315.50

Piso 4 250,781.37

10,919,315.50 Piso 3 250,781.37

10,919,315.50 Piso 2 250,781.37

10,027,718.30 Piso 1 250,781.37

10,206,253.80 Semisótano 310,446.19

157,750,497.61

4 5 6 7 8 9 - - - - - - - - - - - - - - - - - - 250,781.37 - - - - - - 250,781.37 - - - - - - 250,781.37 - - - - - - 250,781.37 - - - - - - 250,781.37 - - - - - - 88,576.17

4 5 6 7 8 9 - - - - - - - - - - - - -10,919,315.50 - - - - - 21,838,631.00 -10,919,315.50 - - - - -10,919,315.50 21,838,631.00 -10,919,315.50 - - - - -10,919,315.50 21,838,631.00 -10,919,315.50 - - - - -10,919,315.50 21,556,373.80 -10,637,058.30 - - - - -10,637,058.30 12,711,156.13 -2,074,097.83 - - - - -2,074,097.83 2,074,097.83

4 5 6 7 8 9 - - - - - - - - - - - - - - - - - - 25,078.14 - - - - - - 25,078.14 - - - - - - 25,078.14 - - - - - - 25,078.14 - - - - - - 25,078.14 - - - - - - 8,857.62

4 5 6 7 8 9 - - - - - - - - - - - - -1,091,931.55 - - - - - 2,183,863.10 -1,091,931.55 - - - - -1,091,931.55 2,183,863.10 -1,091,931.55 - - - - -1,091,931.55 2,183,863.10 -1,091,931.55 - - - - -1,091,931.55 2,155,637.38 -1,063,705.83 - - - - -1,063,705.83 1,271,115.61 -207,409.78 - - - - -207,409.78 207,409.78

LOSA MACIZA (M2)Peso propio (h=0.25m)= 600 kg/m2Peso muerto (acabados)= 100 kg/m2Tabiquería= 100 kg/m2Carga muerta (CM)= 800 kg/m2Carga viva (RNE)= 200 kg/m2

COLUMNAS Y PLACAS

ALTURA (m) LONGITUD (m) VOL. (m3) PESO (kg) ELEMENTO UBICACIÓN 0.50 5.60 0.70 1,680.00 M4, M5, M6 Eje A 2/5 0.50 4.20 0.53 1,260.00 M1, M6 Eje 5 A/E 1.53 3.30 0.76 1,817.64 P7 Eje 5 B/D 1.60 3.30 1.32 3,168.00 P5 Eje 5 C/D 0.50 4.20 0.53 1,260.00 M1, M2 Eje 1 A/E 0.50 5.61 0.70 1,683.00 P8 Eje 1 B/D 0.50 3.05 0.23 549.00 P6 Eje 1 C/D 0.50 0.95 0.14 342.00 P2 B/C y 3/4 0.25 1.85 0.07 166.50 P2-A Eje 4 B/C 0.50 2.00 0.30 720.00 P2-B C-4 1.60 2.35 1.13 2,707.20 P3 Eje 3 B/C 0.50 4.35 0.65 1,566.00 P3 Eje 3 B/D 0.50 0.92 0.14 331.20 P4 B/C y 2/3 0.25 1.85 0.07 166.50 P4-A Eje 2 B/C 0.50 3.06 0.46 1,101.60 P4-B Eje C 2/3 0.50 3.05 0.61 1,464.00 COL 50x60 D-4 0.25 3.05 0.19 457.50 COL 50x60 D-2 0.25 0.70 0.03 63.00 P1 D/E y 2/4 0.25 3.05 0.23 549.00 M1 Eje 1/3 0.50 6.51 0.81 1,953.00 M1 Eje 3/5 0.50 2.70 0.20 486.00 P9 Eje B 4/5 0.25 2.70 0.10 243.00 P11 Eje B 3/4 0.25 1.00 0.04 90.00 P12 Eje B 2/3 0.25 1.00 0.04 90.00 0.25 5.95 0.67 1,606.50 0.50 6.35 0.79 1,905.00 0.50 4.75 0.95 2,280.00 0.50 4.75 0.95 2,280.00 0.25 6.32 0.52 1,251.36 0.25 0.65 0.02 58.50 0.25 0.65 0.02 58.50 0.25 6.38 0.48 1,148.40 0.50 6.56 0.82 1,968.00 0.50 3.06 0.61 1,468.80 0.25 3.05 0.19 457.50 0.25 0.65 0.02 58.50 0.25 3.05 0.19 457.50

0.50 2.90 0.44 1,044.00 0.25 0.40 0.02 36.00 0.50 4.05 0.51 1,215.00 0.50 3.95 0.59 1,422.00 0.50 1.65 0.21 495.00 0.30 1.65 0.10 237.60 0.50 6.50 0.98 2,340.00 0.50 1.20 0.15 360.00 0.50 4.05 0.51 1,215.00 0.50 2.91 0.44 1,047.60 0.25 0.44 0.02 39.60

48,364.50

LOSA MACIZA (M2)Peso propio (h=0.25m)= 600 kg/m2Peso muerto (acabados)= 100 kg/m2Tabiquería= 100 kg/m2Carga muerta (CM)= 800 kg/m2Carga viva (RNE)= 200 kg/m2

COLUMNAS Y PLACAS

ALTURA (m) LONGITUD (m) VOL. (m3) PESO (kg) ELEMENTO UBICACIÓN 0.90 2,160.00 P7 Eje 5 B/D 0.17 408.00 P2-A Eje 4 B/C

0.50 3.05 0.46 1,098.00 P4-A Eje 2 B/C 0.50 12.08 1.21 2,899.20 P4 Eje 2 B/C 0.50 0.35 0.04 105.00 P8 Eje 1 B/D 0.50 5.55 0.83 1,998.00 P3 Eje 3 B/D 0.50 5.52 0.83 1,987.20 P3-A Eje 3 B/C 0.50 0.92 0.12 276.00 P3-B Eje 3 C/D 0.50 3.06 0.46 1,101.60 P2-B C-4 0.50 3.05 0.61 1,464.00 P4-B Eje C 2/3

1.23 2,952.00 P5 Eje 5 C/D 0.25 2.80 0.18 420.00 P6 Eje 1 C/D

0.25 0.70 0.03 63.00 COL 50x60 D-4 0.25 2.80 0.21 504.00 COL 50x60 D-2 0.50 4.75 0.95 2,280.00 P1 D/E y 2/4 0.50 4.85 0.73 1,746.00 P1 D/E y 2/4 0.50 4.70 0.94 2,256.00 P9 Eje B 4/5

1.08 2,592.00 P11 Eje B 3/4 0.25 6.15 0.51 1,217.70 P12 Eje B 2/3 0.25 0.65 0.02 58.50 0.25 0.65 0.02 58.50 0.25 6.21 0.47 1,117.80 0.50 3.06 0.61 1,468.80 0.25 2.93 0.18 439.50 0.25 0.65 0.02 58.50 0.25 2.92 0.22 525.60 0.50 2.90 0.44 1,044.00 0.50 3.95 0.59 1,422.00 0.30 1.65 0.10 237.60 0.50 6.50 0.98 2,340.00

0.24 576.00 0.14 324.00

0.50 2.91 0.44 1,047.60 38,246.10

LOSA MACIZA (M2)Peso propio (h=0.25m)= 600 kg/m2Peso muerto (acabados)= 100 kg/m2Tabiquería= 100 kg/m2Carga muerta (CM)= 800 kg/m2Carga viva (RNE)= 200 kg/m2

COLUMNAS Y PLACAS

ALTURA (m) LONGITUD (m) VOL. (m3) PESO (kg) ELEMENTO UBICACIÓN 0.50 3.05 0.61 1,464.00 P8 Eje 1 C/D 0.50 6.55 0.82 1,965.00 P6 Eje 1 C/D 0.50 3.05 0.38 915.00 P4 Eje C 2/3 0.50 2.50 0.19 450.00 COL 25x60 C-3 0.50 1.90 0.14 342.00 P2 Eje C 3/4 0.50 4.55 0.91 2,184.00 P7 Eje 5 C/D 0.50 6.35 0.79 1,905.00 P5 Eje 5 C/D 0.50 3.80 0.48 1,140.00 COL 50x60 D-2

0.25 1.75 0.11 262.50 P1 D/E y 2/3 0.25 1.00 0.06 150.00 COL 50x60 D-4 0.25 1.75 0.11 262.50 0.50 3.80 0.48 1,140.00 0.50 3.80 0.29 684.00 0.50 1.40 0.11 252.00 0.25 1.55 0.06 139.50 0.25 0.40 0.02 36.00 0.50 4.80 0.96 2,304.00 0.50 6.56 0.82 1,968.00 0.50 1.35 0.10 243.00 0.50 3.80 0.48 1,140.00 0.50 3.80 0.48 1,140.00 0.50 5.95 0.74 1,785.00 0.50 6.45 0.81 1,935.00 0.25 1.80 0.11 270.00 0.25 1.00 0.06 150.00 0.25 1.80 0.11 270.00 0.50 3.80 0.48 1,140.00 0.50 3.05 0.61 1,464.00 0.50 3.05 0.38 915.00 0.50 2.50 0.19 450.00 0.50 1.98 0.15 356.40 0.50 2.90 0.44 1,044.00 0.50 3.95 0.59 1,422.00 0.50 1.65 0.17 396.00 0.50 6.50 0.98 2,340.00 0.50 2.92 0.44 1,051.20

31,287.90

RIGIDECES DEL PISO 3 RIGIDECES DEL PISO 4

NOMBRE Kx (tn/m) Ky (tn/m) ELEMENTO NOMBRE Kx (tn/m)P7 54,848.81 868,874.87 PLACA P7 54,848.81

P2-A 20,486.60 324,533.80 PLACA P2-A 20,486.60 P4 23,368.87 600,477.23 PLACA P4 23,368.87 P8 1,889.77 886,356.88 PLACA P8 1,889.77

P3-A 12,851.29 459,171.81 PLACA P3-A 12,851.29 P2-B 36,620.83 16,161.09 PLACA P2-B 36,620.83 P5 17,608.62 278,942.85 PLACA P5 17,608.62

P3-B 373.72 3,391.70 PLACA P3-B 373.72 P6 1,007.88 257,216.19 PLACA P6 1,007.88

COL 50x60 52,174.92 75,131.89 COLUMNA COL 50x60 52,174.92 COL 50x60 52,174.92 75,131.89 COLUMNA COL 50x60 52,174.92

P1 431,879.34 505,025.17 PLACA P1 431,879.34 P9 821.70 59.57 PLACA P9 821.70

P11 192,912.14 425.46 PLACA P11 192,912.14 P2 192,912.14 425.46 PLACA P2 192,912.14 0 1,091,931.55 4,351,325.86 0 0 1,091,931.55

RIGIDEZkg-f/cm

8,307,005.95

35,710,221.20

43,513,258.60

43,513,258.60

43,513,258.60

43,513,258.60

42,232,764.80

42,144,451.30

177,445,513.43

MATRIZ DE MASA (tn-f.s2/m)1 2 3 4

= 31,044.62 1 1.00 - - - 2 - 0.81 - - 3 - - 0.81 - 4 - - - 0.81 5 - - - - 6 - - - - 7 - - - - 8 - - - - 9 - - - -

MATRIZ DE RIGIDEZ (tn-f/m)1 2 3 4

= 31,044.62 1 541.02 -32.88 - - 2 -32.88 65.18 -32.30 - 3 - -32.30 67.47 -35.17 4 - - -35.17 70.35 5 - - - -35.17 6 - - - - 7 - - - - 8 - - - - 9 - - - -

543.92 23.32 rad/s1.64 1.28 rad/s

13.43 3.66 rad/s26.49 5.15 rad/s

164.89 12.84 rad/s45.85 6.77 rad/s

141.44 11.89 rad/s76.85 8.77 rad/s

110.15 10.50 rad/s

ω2= ω=

LARGO (m) ANCHO (m) ALTURA (m) VOL. (m3) PESO (kg) 15.71 0.25 0.75 2.95 7,069.50 19.34 0.25 0.75 3.63 8,703.00 7.42 0.20 1.33 1.97 4,736.93 4.15 0.20 1.33 1.10 2,649.36 19.55 0.25 0.75 3.67 8,797.50 7.50 0.20 1.33 2.00 4,788.00 4.00 0.20 1.33 1.06 2,553.60

1.40 3,360.00 4.04 0.25 1.33 1.34 3,223.92

1.17 2,808.00 1.12 2,688.00 2.47 5,928.00 1.31 3,144.00

4.05 0.25 1.33 1.35 3,231.90 1.45 0.40 1.33 0.77 1,851.36 0.60 0.50 2.08 0.62 1,497.60 0.60 0.50 2.08 0.62 1,497.60

9.17 22,008.00 6.80 0.25 0.75 1.28 3,060.00 8.99 0.25 0.75 1.69 4,045.50 0.56 0.15 2.08 0.17 419.33 4.01 0.15 2.08 1.25 3,002.69 4.00 0.15 2.08 1.25 2,995.20

104,058.98

310,446.19 kg

LARGO (m) ANCHO (m) ALTURA (m) VOL. (m3) PESO (kg) 7.42 0.20 2.65 3.93 9,438.24 4.00 0.25 2.65 2.65 6,360.00 4.05 0.25 1.33 1.35 3,231.90

2.41 5,784.00 7.50 0.20 2.65 3.97 9,540.00

2.49 5,976.00 1.98 4,752.00

0.75 0.25 1.33 0.25 598.50 2.33 5,592.00

1.45 0.40 1.33 0.77 1,851.36 4.15 0.20 2.65 2.20 5,278.80 4.00 0.20 2.65 2.12 5,088.00

0.60 0.50 2.65 0.79 1,908.00 0.60 0.50 2.65 0.79 1,908.00

5.57 13,368.00 5.72 13,728.00

0.56 0.15 2.65 0.22 534.24 4.00 0.15 2.65 1.59 3,816.00 4.00 0.15 2.65 1.59 3,816.00

102,569.04

250,781.37

kg

LARGO (m) ANCHO (m) ALTURA (m) VOL. (m3) PESO (kg) 2.55 0.20 1.33 0.68 1,627.92 4.00 0.20 1.33 1.06 2,553.60 1.65 0.40 1.33 0.88 2,106.72 0.60 0.25 1.33 0.20 478.80 1.64 0.40 1.33 0.87 2,093.95 2.46 0.20 1.33 0.65 1,570.46 4.15 0.20 1.33 1.10 2,649.36 0.60 0.50 1.33 0.40 957.60

2.01 4,824.00 0.60 0.50 1.33 0.40 957.60

19,820.02

88,576.17

kg

RIGIDECES DEL PISO 5

Ky (tn/m) ELEMENTO NOMBRE Kx (tn/m) Ky (tn/m) 868,874.87 PLACA P7 54,848.81 868,874.87 324,533.80 PLACA P2-A 20,486.60 324,533.80 600,477.23 PLACA P4 23,368.87 600,477.23 886,356.88 PLACA P8 1,889.77 886,356.88 459,171.81 PLACA P3-A 12,851.29 459,171.81 16,161.09 PLACA P2-B 36,620.83 16,161.09 278,942.85 PLACA P5 17,608.62 278,942.85 3,391.70 PLACA P3-B 373.72 3,391.70 257,216.19 PLACA P6 1,007.88 257,216.19 75,131.89 COLUMNA COL 50x60 52,174.92 75,131.89 75,131.89 COLUMNA COL 50x60 52,174.92 75,131.89 505,025.17 PLACA P1 431,879.34 505,025.17 59.57 PLACA P9 821.70 59.57 425.46 PLACA P11 192,912.14 425.46 425.46 PLACA P2 192,912.14 425.46 4,351,325.86 0 0 1,091,931.55 4,351,325.86

5 6 7 8 9 - - - - - - - - - - - - - - - - - - - - 0.81 - - - - - 0.81 - - - - - 0.81 - - - - - 0.81 - - - - - 0.29

5 6 7 8 9 - - - - - - - - - - - - - - - -35.17 - - - - 70.35 -35.17 - - - -35.17 70.35 -35.17 - - - -35.17 69.44 -34.26 - - - -34.26 40.94 -6.68 - - - -6.68 6.68

RIGIDECES DEL PISO 6 RIGIDECES DEL PISO 7

ELEMENTO NOMBRE Kx (tn/m) Ky (tn/m) ELEMENTO NOMBREPLACA P7 54,848.81 868,874.87 PLACA P7PLACA P2-A 20,486.60 324,533.80 PLACA P2-APLACA P4 23,368.87 600,477.23 PLACA P4-APLACA P8 1,889.77 886,356.88 PLACA P8PLACA P3-A 12,851.29 459,171.81 PLACA P2-BPLACA P2-B 36,620.83 16,161.09 PLACA P3PLACA P5 17,608.62 278,942.85 PLACA P4-BPLACA P3-B 373.72 3,391.70 PLACA P2-CPLACA P6 1,007.88 257,216.19 PLACA P4-C

COLUMNA COL 50x60 52,174.92 75,131.89 PLACA P5COLUMNA COL 50x60 52,174.92 75,131.89 PLACA P6

PLACA P1 431,879.34 505,025.17 COLUMNA COL 50x60PLACA P9 821.70 59.57 COLUMNA COL 50x60PLACA P11 192,912.14 425.46 PLACA P1PLACA P2 192,912.14 425.46 PLACA P9

0 0 1,091,931.55 4,351,325.86 PLACA P11PLACA P2

0 0

Kx (tn/m) Ky (tn/m) 54,848.81 868,874.87 1,029.47 16,308.14 639.26 16,340.82 1,889.77 886,356.88 1,599.93 25,344.91 2,458.68 521,513.71 762.19 27,050.20 36,620.83 16,161.09 22,365.23 713.02 17,608.62 278,942.85 1,007.88 257,216.19 52,174.92 75,131.89 52,174.92 75,131.89 431,879.34 505,025.17 821.70 59.57 192,912.14 425.46 192,912.14 425.46 1,063,705.83 3,571,022.12