analisis estatico de edificaciÓn de 4 niveles ubicado en la ciudad de chiclayo

PLACA DIMENSIONES INERCIA DISTANCIAIxx*Y Iyy*X

Lx Ly Ixx Iyy X Y

P1 0.25 4.25 0.0055 1.5993 0.125 0.2 0.0011 0.1999 C.R. con Placas C.M. PortP2 2.25 0.25 0.2373 0.0029 5.275 0.2 0.0475 0.0155 x y x yP3 0.25 4.25 0.0055 1.5993 0.125 24.7 0.1367 0.1999 6.29 12.45 6.33 12.45P4 2.25 0.25 0.2373 0.0029 8.875 5.25 1.2458 0.0260

P5 2.25 0.25 0.2373 0.0029 8.875 14.55 3.4528 0.0260

P6 2.25 0.25 0.2373 0.0029 8.875 24.70 5.8614 0.0260

P7 2.25 0.25 0.2373 0.0029 5.275 10.35 2.4561 0.0155

P8 0.25 4.25 0.0055 1.5993 12.45 24.7 0.1367 19.9111

P9 2.25 0.25 0.2373 0.0029 5.275 19.65 4.6630 0.0155P10 0.25 4.25 0.0055 1.5993 12.45 0.2 0.0011 19.9111

1.446 6.415 18.002 40.346

OSAWA EJE A - A E = 2173706.51 tn/m2

Ko = 0.001 G= 905711.05 f = 1.2

b = 3.15 b = 3.65 b = 3.35 b = 3.513Iv 0.00133333 a = 0.65 0.6500 a = 0.65 0.6500

0.25 0.4 0.25 0.4 0.25 0.4 0.25 0.4 L (m)

0.25 0.3 0.360 0.25 0.3

0.890

0.25 0.3

0.816

0.25 0.3

2.8

Ic 0.00056 0.00056 0.00056 0.00056Kc 0.201 0.201 0.201 0.201K 1.79 6.2 8.5 4.0636615a 0.47 0.76 0.81 0.67D 0.095 0.152 0.163 0.135

0.3600.25 0.3 0.25 0.3

0.890

0.25 0.3

0.816

0.25 0.3

2.8

Ic 0.00056 0.00056 0.00056 0.00056Kc 0.201 0.201 0.201 0.201K 1.79 6.2 8.5 4.0636615a 0.47 0.76 0.81 0.67D 0.095 0.152 0.163 0.135

0.3600.25 0.3 0.25 0.3

0.890

0.25 0.3

0.816

0.25 0.3

2.8

Ic 0.00056 0.00056 0.00056 0.00056Kc 0.201 0.201 0.201 0.201K 1.79 6.2 8.5 4.0636615a 0.47 0.76 0.81 0.67D 0.095 0.152 0.163 0.135

0.3600.25 0.3 0.25 0.3

0.890

0.25 0.3

0.816

0.25 0.3

2.8

Ic 0.00056 0.00056 0.00056 0.00056Kc 0.201 0.201 0.201 0.201K 3.59 12.4 17.0 8.1273229a 0.73 0.90 0.92 0.85D 0.147 0.180 0.185 0.171

0.360

L = 1.5 L = 1.5e= 0.25 e= 0.25

L(m)= 3.70 3.80 4.30 4.00 4.2

Para la Placa Para la Placa K32 = 6428.79 K32 = 5175.24K34 = 5175.24 K34 = 5471.93

K´1 = 11604.03 K´1 = 10647.17Kv1 = 0.890 Kv1 = 0.816

PLACA N°01 PLACA N°02 Kw Do Dc ΣDc

Kw4 = 25.112 25.112 50.223 3327.102 N Eje A Eje B Eje C Eje D Eje E Eje FKw3 = 25.112 25.112 50.223 3327.102 4 0.095 0.152 0.163 0.135 0.544Kw2 = 25.112 25.112 50.223 3327.102 3 0.095 0.152 0.163 0.135 0.544Kw1 = 25.112 25.112 50.223 3327.102 2 0.095 0.152 0.163 0.135 0.544

1 0.147 0.180 0.185 0.171 0.683

Ecuaciones de Osawa

Niv Hi Kw ΣDc Aw Xn Zn Bn An Q Cn4 2.800 50.223 0.544 0.750 1.020 0.534 48.622 51.824 16.432 45.117

3 2.800 50.223 0.544 0.750 1.020 0.534 48.622 51.824 34.128 93.7042 2.800 50.223 0.544 0.750 1.020 0.534 48.622 51.824 45.926 126.0961 2.800 50.223 0.683 0.750 1.025 0.667 48.223 52.223 51.824 141.590

Armando la Ecuacion Osawa

Niv 6*Kvn an bn dn4 10.24 62.061 48.622 45.1173 10.24 113.885 48.622 138.8212 10.24 113.885 48.622 219.8001 10.24 114.284 48.223 267.686

62.06 -48.62 0.00 0.00 φ4 45.12-48.62 113.89 -48.62 0.00 * φ3 = 138.820.00 -48.62 113.89 -48.62 φ2 219.800.00 0.00 -48.62 114.28 φ1 267.69

φ4 6.14φ3 = 6.91φ2 7.18φ1 5.40

Cortantes y Momentos para la Placa

Niv Φn 3*(Φn+Φn-1) Zn Cn Qwn Qcn 3Kvn Mvn

6 6.14 39.13 0.53 45.12 8.654 7.78 2.67 16.3835 6.91 42.27 0.53 93.70 25.409 8.72 2.67 18.4344 7.18 37.75 0.53 126.10 37.840 8.09 2.67 19.1743 5.40 16.20 0.67 141.59 46.712 5.11 2.67 14.410

Deformacion por Entrepiso

Niv Hi Don Qwn*(hn/Kwn) δn δt δtr D

4 2.8 3327.102 0.482 0.00004 0.004 0.016 0.083 0.0083 2.8 3327.102 1.417 0.0001 0.005 0.012 0.061 0.0092 2.8 3327.102 2.110 0.0002 0.004 0.007 0.035 0.0081 2.8 3327.102 2.604 0.0002 0.002 0.002 0.012 0.004

Cortantes por Porticos y Placas

NivEje A Eje B Eje C Eje D Eje E Eje F

Dcn Qćn Dcn Qćn Q´wn Dwn Dcn Qćn Q´wn Dwn Dcn Qćn4 0.095 1.357 0.152 2.173 8.654 2014.9 0.163 2.324 8.654 2014.8861 0.135 1.924

3 0.095 1.522 0.152 2.436 25.409 5277.0 0.163 2.605 25.409 5276.9738 0.135 2.1572 0.095 1.411 0.152 2.259 37.840 8474.0 0.163 2.416 37.840 8473.9934 0.135 2.000

1 0.147 1.100 0.180 1.347 46.712 20769.4 0.185 1.385 46.712 20769.407 0.171 1.607

EJE 2 - 2 Tn/cm

2014.886 2014.88607039132KL= 316.03 505.818 540.988 447.933 58.405

5276.974 5276.97380999736KL= 316.03 505.818 540.988 447.933 123.647

8473.993 8473.9934040885KL= 316.03 505.818 540.988 447.933 187.588

20769.407 20769.4070176573KL= 488.96 598.985 615.582 569.393 438.117

Qwn*hn/(G*Awn)

OSAWA EJE 3-3 E = 2173706.51 tn/m2

Ko = 0.001 G= 905711.05 f = 1.2b = 5.2375 b = 1.4375

Iv 0.00089323 a = 0.0875 2.16250.25 0.35 0.25 0.35 0.25 0.35 L (m)

0.25 0.4

5.216

0.25 0.4 0.173 0.25 0.4

3

Ic 0.00052 0.00052 0.00052Kc 0.174 0.174 0.174K 30.04 31.0 1.0a 0.94 0.94 0.33D 0.163 0.163 0.058

0.1730.25 0.4

5.216

0.25 0.4 0.25 0.4

3

Ic 0.00052 0.00052 0.00052Kc 0.174 0.174 0.174K 30.04 31.0 1.0a 0.94 0.94 0.33D 0.163 0.163 0.058

0.1730.25 0.4

5.216

0.25 0.4 0.25 0.4

3

Ic 0.00052 0.00052 0.00052Kc 0.174 0.174 0.174K 30.04 31.0 1.0a 0.94 0.94 0.33D 0.163 0.163 0.058

0.1730.25 0.4

5.216

0.25 0.4 0.25 0.4

3

Ic 0.00052083 0.00052 0.00052Kc 0.174 0.174 0.174K 30.04 31.0 1.0a 0.94 0.94 0.33D 0.163 0.163 0.058

0.1730.25 0.4

5.216

0.25 0.4 0.25 0.4

3

Ic 0.00052 0.00052 0.00052Kc 0.174 0.174 0.174K 30.04 31.0 1.0a 0.94 0.94 0.33D 0.163 0.163 0.058

0.1730.25 0.4

5.216

0.25 0.4 0.25 0.4

3

Ic 0.00052 0.00052 0.00052Kc 0.1736 0.174 0.1736K 30.042 31.0 1.0a 0.95 0.95 0.50

D 0.165 0.166 0.087

L = 2.25e= 0.25

L(m)= 5.15 3.6 3.6

Para la Placa Nivel hm W hw1 k Fs Qs

K21 = 1558.42 6 18 36.116 650.079 0.24 12.74 12.742K23 = 66466.04 5 15 46.790 701.848 0.25 13.76 26.499K´1 = 68024.46 4 12 46.790 561.478 0.20 11.01 37.505

Kv1 = 5.216 3 9 46.790 421.109 0.15 8.25 45.7592 6 46.790 280.739 0.10 5.50 51.262

1 3 46.790 140.370 0.05 2.75 54.013

Kw Do Dc ΣDcKw6 = 79.102 79.102 2898.275 N Eje A Eje B Eje C Eje DKw5 = 79.102 79.102 2898.275 6 0.163 0.163 0.058 0.384Kw4 = 79.102 79.102 2898.275 5 0.163 0.163 0.058 0.384Kw3 = 79.102 79.102 2898.275 4 0.163 0.163 0.058 0.384Kw2 = 79.102 79.102 2898.275 3 0.163 0.163 0.058 0.384Kw1 = 79.102 79.102 2898.275 2 0.163 0.163 0.058 0.384

1 0.165 0.166 0.087 0.418

Ecuaciones de Osawa


5 3.00 79.102 0.384 0.563 1.01 0.379 77.965 80.238 26.499 78.5004 3.00 79.102 0.384 0.563 1.01 0.379 77.965 80.238 37.505 111.1023 3.00 79.102 0.384 0.563 1.01 0.379 77.965 80.238 45.759 135.5542 3.00 79.102 0.384 0.563 1.01 0.379 77.965 80.238 51.262 151.855

1 3.00 79.102 0.418 0.563 1.01 0.412 77.865 80.338 54.013 159.826


Niv 6*Kvn an bn dn Niv6 31.29 111.532 77.965 37.747 6 111.53 -77.96 0.00 0.00 0.00 0.00

*

Φ6

=

d65 31.29 191.771 77.965 116.247 5 -77.96 191.77 -77.96 0.00 0.00 0.00 Φ5 d54 31.29 191.771 77.965 189.602 4 0.00 -77.96 191.77 -77.96 0.00 0.00 Φ4 d43 31.29 191.771 77.965 246.656 3 0.00 0.00 -77.96 191.77 -77.96 0.00 Φ3 d32 31.29 191.771 77.965 287.408 2 0.00 0.00 0.00 -77.96 191.77 -77.96 Φ2 d21 31.29 191.871 77.865 311.681 1 0.00 0.00 0.00 0.00 -77.96 191.87 Φ1 d1

111.532 -77.965 0.000 0.000 0.000 0.000

*

Φ6

=

37.75

-77.965 191.771 -77.965 0.000 0.000 0.000 Φ5 116.25

0.000 -77.965 191.771 -77.965 0.000 0.000 Φ4 189.60

0.000 0.000 -77.965 191.771 -77.965 0.000 Φ3 246.66

0.000 0.000 0.000 -77.965 191.771 -77.965 Φ2 287.41

0.000 0.000 0.000 0.000 -77.965 191.871 Φ1 311.68

Φ6

=

2.90

Φ5 3.66

Φ4 4.61

Φ3 5.25

Φ2 5.14

Φ1 3.71


Niv Φn 3*(Φn+Φn-1) Zn Cn Qwn Qcn 3Kvn Mvn6 2.90 19.66 0.38 37.75 10.099142 2.64 15.65 45.3075 3.66 24.81 0.38 78.50 23.033347 3.47 15.65 57.2394 4.61 29.59 0.38 111.10 33.296706 4.21 15.65 72.1533 5.25 31.19 0.38 135.55 41.245293 4.51 15.65 82.1842 5.14 26.58 0.38 151.85 47.261581 4.00 15.65 80.494

1 3.71 11.14 0.41 159.83 51.743827 2.27 15.65 58.125



6 3 2898.275 0.383 0.00006 0.002 0.019 0.099 0.0045 3 2898.275 0.874 0.00014 0.003 0.016 0.086 0.0054 3 2898.275 1.263 0.00020 0.004 0.013 0.070 0.0073 3 2898.275 1.564 0.00024 0.004 0.010 0.050 0.0072 3 2898.275 1.792 0.00028 0.004 0.005 0.029 0.0061 3 2898.275 1.962 0.00030 0.002 0.002 0.010 0.003


NivEje A Eje B Eje C Eje D

Dcn Qćn Q´wn Dwn Dcn Qćn Dcn Qćn6 0.163 1.121 10.099 4249.34 0.163 1.123 0.058 0.3985 0.163 1.470 23.033 7390.96 0.163 1.473 0.058 0.5224 0.163 1.785 33.297 8799.84 0.163 1.789 0.058 0.6343 0.163 1.915 41.245 10162.57 0.163 1.919 0.058 0.6802 0.163 1.697 47.262 13139.94 0.163 1.700 0.058 0.603

1 0.165 0.898 51.744 27625.36 0.166 0.900 0.087 0.471

EJE 3 - 3Tn/cm

4249.337KL= 541.568 542.658 192.416 55.260

7390.958KL= 541.568 542.658 192.416 86.676

8799.838KL= 541.568 542.658 192.416 100.765

10162.572

Qwn*hn/(G*Awn)

10162.572KL= 541.568 542.658 192.416 114.392

13139.937KL= 541.568 542.658 192.416 144.166

27625.357KL= 550.582 551.399 288.717 290.161

OSAWA EJE 4 - 4 E = 2173706.51 tn/m2

Ko = 0.001 G= 905711.05 f = 1.2

b = 1.4375 b = 3.6875Iv 0.00089323 a = 2.1625 0.0875

0.25 0.35 0.25 0.35 0.25 0.35 L (m)

0.25 0.4 0.173 0.25 0.4

5.269

0.25 0.4

3

Ic 0.00052 0.00052 0.00052Kc 0.174 0.174 0.174K 1.00 31.4 30.4a 0.33 0.94 0.94D 0.058 0.163 0.163

0.1730.25 0.4 0.25 0.4

5.269

0.25 0.4

3

Ic 0.00052 0.00052 0.00052Kc 0.174 0.174 0.174K 1.00 31.4 30.4a 0.33 0.94 0.94D 0.058 0.163 0.163

0.1730.25 0.4 0.25 0.4

5.269

0.25 0.4

3

Ic 0.00052 0.00052 0.00052Kc 0.174 0.174 0.174K 1.00 31.4 30.4a 0.33 0.94 0.94D 0.058 0.163 0.163

0.1730.25 0.4 0.25 0.4

5.269

0.25 0.4

3

Ic 0.00052 0.00052 0.00052Kc 0.174 0.174 0.174K 1.00 31.4 30.4a 0.33 0.94 0.94D 0.058 0.163 0.163

0.1730.25 0.4 0.25 0.4

5.269

0.25 0.4

3

Ic 0.00052 0.00052 0.00052Kc 0.174 0.174 0.174K 0.999 31.4 30.4a 0.33 0.94 0.94D 0.058 0.163 0.163

0.1730.25 0.4 0.25 0.4

5.269

0.25 0.4

3

Ic 0.00052 0.00052 0.00052Kc 0.1736 0.174 0.1736K 0.999 31.4 30.4a 0.50 0.96 0.95D 0.087 0.166 0.166

L = 2.25e= 0.25

L(m)= 5.15 3.6 3.6

Nivel hm W hw1 k Fs Qs6 18 35.74 643.40 0.24 12.614 12.614

Para la Placa 5 15 46.42 696.28 0.25 13.651 26.265K32 = 66466.04 4 12 46.42 557.02 0.20 10.921 37.186K34 = 2259.65 3 9 46.42 417.77 0.15 8.191 45.377K´1 = 68725.69 2 6 46.42 278.51 0.10 5.460 50.837

Kv1 = 5.269 1 3 46.42 139.26 0.05 2.730 53.567

Kw Do Dc ΣDcKw6 = 79.102 79.102 3327.102 N Eje A Eje B Eje C Eje DKw5 = 79.102 79.102 3327.102 6 0.058 0.163 0.163 0.384Kw4 = 79.102 79.102 3327.102 5 0.058 0.163 0.163 0.384Kw3 = 79.102 79.102 3327.102 4 0.058 0.163 0.163 0.384Kw2 = 79.102 79.102 #DIV/0! 3 0.058 0.163 0.163 0.384Kw1 = 79.102 79.102 #DIV/0! 2 0.058 0.163 0.163 0.384

1 0.087 0.166 0.166 0.418

Ecuaciones de Osawa

Niv Hi Kw ΣDc Aw Xn Zn Bn An Q Cn6 3.000 79.102 0.384 0.375 1.017 0.378 77.969 80.234 12.614 37.2235 3.000 79.102 0.384 0.375 1.017 0.378 77.969 80.234 26.265 77.5064 3.000 79.102 0.384 0.375 1.017 0.378 77.969 80.234 37.186 109.7323 3.000 79.102 0.384 0.375 1.017 0.378 77.969 80.234 45.377 133.9012 3.000 79.102 0.384 0.375 1.017 0.378 77.969 80.234 50.837 150.014

1 3.000 79.102 0.418 0.375 1.018 0.411 77.869 80.334 53.567 157.840



*

Φ6

=

d65 31.62 192.086 77.969 114.729 5 -77.97 192.09 -77.97 0.00 0.00 0.00 Φ5 d54 31.62 192.086 77.969 187.238 4 0.00 -77.97 192.09 -77.97 0.00 0.00 Φ4 d43 31.62 192.086 77.969 243.633 3 0.00 0.00 -77.97 192.09 -77.97 0.00 Φ3 d32 31.62 192.086 77.969 283.916 2 0.00 0.00 0.00 -77.97 192.09 -77.97 Φ2 d21 31.62 192.185 77.869 307.855 1 0.00 0.00 0.00 0.00 -77.97 192.18 Φ1 d1

111.85 -77.97 0.00 0.00 0.00 0.00

*

Φ6

=

37.22

-77.97 192.09 -77.97 0.00 0.00 0.00 Φ5 114.73

0.00 -77.97 192.09 -77.97 0.00 0.00 Φ4 187.24

0.00 0.00 -77.97 192.09 -77.97 0.00 Φ3 243.63

0.00 0.00 0.00 -77.97 192.09 -77.97 Φ2 283.92

0.00 0.00 0.00 0.00 -77.97 192.18 Φ1 307.85

Φ6

=

2.828

Φ5 3.580Φ4 4.520

Φ3 5.154

Φ2 5.052

Φ1 3.651



6 2.83 19.22 0.38 37.22 9.988 2.63 15.81 44.7105 3.58 24.30 0.38 77.51 22.777 3.49 15.81 56.5924 4.52 29.02 0.38 109.73 32.924 4.26 15.81 71.4503 5.15 30.62 0.38 133.90 40.780 4.60 15.81 81.4712 5.05 26.11 0.38 150.01 46.718 4.12 15.81 79.866

1 3.65 10.95 0.41 157.84 51.114 2.45 15.81 57.724



6 3 3327.102 0.379 0.0001 0.002 #DIV/0! #DIV/0! #DIV/0!5 3 3327.102 0.864 0.0002 0.003 #DIV/0! #DIV/0! #DIV/0!4 3 3327.102 1.249 0.0003 0.003 #DIV/0! #DIV/0! #DIV/0!3 3 3327.102 1.547 0.0004 0.004 #DIV/0! #DIV/0! #DIV/0!2 3 #DIV/0! 1.772 0.0004 #DIV/0! #DIV/0! #DIV/0! #DIV/0!1 3 #DIV/0! 1.939 0.0005 #DIV/0! #DIV/0! #DIV/0! #DIV/0!



Qwn*hn/(G*Awn)

NivDcn Qćn Dcn Qćn Q´wn Dwn Dcn Qćn

6 0.058 0.396 0.163 1.116 9.988 4857.5 0.163 1.1145 0.058 0.526 0.163 1.483 22.777 8339.2 0.163 1.4804 0.058 0.642 0.163 1.812 32.924 9867.8 0.163 1.8083 0.058 0.692 0.163 1.954 40.780 11331.1 0.163 1.9502 0.058 0.621 0.163 1.751 46.718 #DIV/0! 0.163 1.748

1 0.087 0.509 0.166 0.973 51.114 #DIV/0! 0.166 0.971

EJE 4- 4Tn/cm

4857.456KL= 192.42 542.983 541.913 61.348

8339.205KL= 192.42 542.983 541.913 96.165

9867.811KL= 192.42 542.983 541.913 111.451

11331.079KL= 192.42 542.983 541.913 126.084

#DIV/0!KL= 192.42 542.983 541.913 #DIV/0!

#DIV/0!KL= 288.72 551.643 550.841 #DIV/0!

OSAWA EJE 5 - 5 E = 2173706.51 tn/m2

Ko = 0.001 G= 905711.05 f = 1.2b = 5.238 b = 1.438

Iv 0.00089323 a = 0.0875 2.16250.25 0.35 0.25 0.35 0.25 0.35 L (m)

0.25 0.4

5.216

0.25 0.4 0.173 0.25 0.4

3

Ic 0.00052 0.00052 0.00052Kc 0.174 0.174 0.174K 30.04 31.0 1.0a 0.94 0.94 0.33D 0.163 0.163 0.058

0.1730.25 0.4

5.216

0.25 0.4 0.25 0.4

3

Ic 0.00052 0.00052 0.00052Kc 0.174 0.174 0.174K 30.04 31.0 1.0a 0.94 0.94 0.33D 0.163 0.163 0.058

0.1730.25 0.4

5.216

0.25 0.4 0.25 0.4

3

Ic 0.00052 0.00052 0.00052Kc 0.174 0.174 0.174K 30.04 31.0 1.0a 0.94 0.94 0.33D 0.163 0.163 0.058

0.1730.25 0.4

5.216

0.25 0.4 0.25 0.4

3

Ic 0.00052083 0.00052 0.00052Kc 0.174 0.174 0.174K 30.04 31.0 1.0a 0.94 0.94 0.33D 0.163 0.163 0.058

0.1730.25 0.4

5.216

0.25 0.4 0.25 0.4

3

Ic 0.00052 0.00052 0.00052Kc 0.174 0.174 0.174K 30.04 31.0 1.0a 0.94 0.94 0.33D 0.163 0.163 0.058

0.1730.25 0.4

5.216

0.25 0.4 0.25 0.4

3

Ic 0.00052 0.00052 0.00052Kc 0.1736 0.174 0.1736K 30.042 31.0 1.0a 0.95 0.95 0.50

D 0.165 0.166 0.087L = 2.25e= 0.25

L(m)= 5.15 3.6 3.6

Para la Placa Nivel hm W hw1 k Fs QsK21 = 1558.42 6 18 38.62 695.149 0.24 13.624 13.624K23 = 66466.04 5 15 49.99 749.888 0.25 14.697 28.322K´1 = 68024.46 4 12 49.99 599.911 0.20 11.758 40.080

Kv1 = 5.216 3 9 49.99 449.933 0.15 8.818 48.8982 6 49.99 299.955 0.10 5.879 54.777

1 3 49.99 149.978 0.05 2.939 57.716


1 0.165 0.166 0.087 0.418

Ecuaciones de Osawa


1 3.00 79.102 0.418 0.563 1.014 0.412 77.865 80.338 57.716 170.785



*

Φ6

=

d65 31.29 191.771 77.965 124.259 5 -77.96 191.77 -77.96 0.00 0.00 0.00 Φ5 d54 31.29 191.771 77.965 202.629 4 0.00 -77.96 191.77 -77.96 0.00 0.00 Φ4 d43 31.29 191.771 77.965 263.583 3 0.00 0.00 -77.96 191.77 -77.96 0.00 Φ3 d32 31.29 191.771 77.965 307.122 2 0.00 0.00 0.00 -77.96 191.77 -77.96 Φ2 d21 31.29 191.871 77.865 333.053 1 0.00 0.00 0.00 0.00 -77.96 191.87 Φ1 d1

111.532 -77.965 0.000 0.000 0.000 0.000

*

Φ6

=

40.36

-77.965 191.771 -77.965 0.000 0.000 0.000 Φ5 124.26

0.000 -77.965 191.771 -77.965 0.000 0.000 Φ4 202.63

0.000 0.000 -77.965 191.771 -77.965 0.000 Φ3 263.58

0.000 0.000 0.000 -77.965 191.771 -77.965 Φ2 307.12

0.000 0.000 0.000 0.000 -77.965 191.871 Φ1 333.05

Φ6

=

3.09

Φ5 3.91

Φ4 4.93

Φ3 5.61

Φ2 5.50

Φ1 3.97



1 3.97 11.91 0.41 170.78 55.29167 2.42 15.65 62.113



6 3 2898.275 0.410 0.00006 0.003 0.020 0.106 0.005 3 2898.275 0.934 0.00014 0.003 0.018 0.092 0.014 3 2898.275 1.350 0.00021 0.004 0.014 0.075 0.013 3 2898.275 1.672 0.00026 0.004 0.010 0.053 0.012 3 2898.275 1.915 0.00030 0.004 0.006 0.031 0.011 3 2898.275 2.097 0.00033 0.002 0.002 0.011 0.00

Qwn*hn/(G*Awn)




1 0.165 0.960 55.292 27624.78 0.166 0.961 0.087 0.503

EJE 5 - 5Tn/cm

4251.355KL= 541.568 542.658 192.416 55.280

7391.234KL= 541.568 542.658 192.416 86.679

8799.663KL= 541.568 542.658 192.416 100.763

10162.276KL= 541.568 542.658 192.416 114.389

13139.574KL= 541.568 542.658 192.416 144.162

27624.779KL= 550.582 551.399 288.717 290.155

OSAWA EJE 6 - 6 E = 2173706.51 tn/m2

Ko = 0.001 G= 905711.05 f = 1.2

b = 1.4375 b = 3.6875Iv 0.00089323 a = 2.1625 0.0875

0.25 0.35 0.25 0.35 0.25 0.35 L (m)

0.25 4.3 0.173 0.25 0.4

5.269

0.25 4.25

3

Ic 0.00553 0.00052 0.00553Kc 1.845 0.174 1.845K 0.09 31.4 2.9a 0.04 0.94 0.59D 0.083 0.163 1.085

0.1730.25 4.25 0.25 0.4

5.269

0.25 4.25

3

Ic 0.00553 0.00052 0.00553Kc 1.845 0.174 1.845K 0.09 31.4 2.9a 0.04 0.94 0.59D 0.083 0.163 1.085

0.1730.25 4.25 0.25 0.4

5.269

0.25 4.25

3

Ic 0.00553 0.00052 0.00553Kc 1.845 0.174 1.845K 0.09 31.4 2.9a 0.04 0.94 0.59D 0.083 0.163 1.085

0.1730.25 4.25 0.25 0.4

5.269

0.25 4.25

3

Ic 0.00553 0.00052 0.00553Kc 1.845 0.174 1.845

K 0.09 31.45.269

2.9 3a 0.04 0.94 0.59D 0.083 0.163 1.085

0.1730.25 4.25 0.25 0.4

5.269

0.25 4.25

3

Ic 0.00553 0.00052 0.00553Kc 1.845 0.174 1.845K 0.094 31.4 2.9a 0.04 0.94 0.59D 0.083 0.163 1.085

0.1730.25 4.25 0.25 0.4

5.269

0.25 4.25

3

Ic 0.00553 0.00052 0.00553Kc 1.8446 0.174 1.8446K 0.094 31.4 2.9a 0.28 0.96 0.69D 0.523 0.166 1.275

L = 2.25e= 0.25

L(m)= 5.15 3.6 3.6

Nivel hm W hw1 k Fs Qs6 18 23.75 427.54 0.24 8.350 8.350

Para la Placa 5 15 29.72 445.81 0.25 8.707 17.057K32 = 66466.04 4 12 29.72 356.65 0.20 6.966 24.023K34 = 2259.65 3 9 29.72 267.48 0.15 5.224 29.247K´1 = 68725.69 2 6 29.72 178.32 0.10 3.483 32.730

Kv1 = 5.269 1 3 29.72 89.16 0.05 1.741 34.471

Kw Do Dc ΣDcKw6 = 79.102 79.102 3327.102 N Eje A Eje B Eje C Eje DKw5 = 79.102 79.102 3327.102 6 0.083 0.163 1.085 1.331Kw4 = 79.102 79.102 3327.102 5 0.083 0.163 1.085 1.331Kw3 = 79.102 79.102 3327.102 4 0.083 0.163 1.085 1.331Kw2 = 79.102 79.102 #DIV/0! 3 0.083 0.163 1.085 1.331Kw1 = 79.102 79.102 #DIV/0! 2 0.083 0.163 1.085 1.331

1 0.523 0.166 1.275 1.964

Ecuaciones de Osawa


1 3.000 79.102 1.964 0.375 1.085 1.810 73.672 84.531 34.471 95.297



*

Φ6

=

d65 31.62 197.370 75.326 72.062 5 -75.33 197.37 -75.33 0.00 0.00 0.00 Φ5 d54 31.62 197.370 75.326 116.514 4 0.00 -75.33 197.37 -75.33 0.00 0.00 Φ4 d43 31.62 197.370 75.326 151.088 3 0.00 0.00 -75.33 197.37 -75.33 0.00 Φ3 d32 31.62 197.370 75.326 175.783 2 0.00 0.00 0.00 -75.33 197.37 -75.33 Φ2 d21 31.62 199.025 73.672 188.128 1 0.00 0.00 0.00 0.00 -75.33 199.02 Φ1 d1

114.49 -75.33 0.00 0.00 0.00 0.00

*

Φ6

=

23.68

-75.33 197.37 -75.33 0.00 0.00 0.00 Φ5 72.06

0.00 -75.33 197.37 -75.33 0.00 0.00 Φ4 116.51

0.00 0.00 -75.33 197.37 -75.33 0.00 Φ3 151.09

0.00 0.00 0.00 -75.33 197.37 -75.33 Φ2 175.78

0.00 0.00 0.00 0.00 -75.33 199.02 Φ1 188.13

Φ6

=

1.356

Φ5 1.746Φ4 2.263

Φ3 2.636

Φ2 2.639

Φ1 1.944



6 1.36 9.31 1.26 23.68 3.991 4.36 15.81 21.4305 1.75 12.03 1.26 48.38 11.082 5.98 15.81 27.6034 2.26 14.70 1.26 68.14 16.547 7.48 15.81 35.7713 2.64 15.82 1.26 82.95 21.013 8.23 15.81 41.6732 2.64 13.75 1.26 92.83 25.177 7.55 15.81 41.712

1 1.94 5.83 1.81 95.30 28.248 6.22 15.81 30.730



6 3 3327.102 0.151 0.00004 0.001 #DIV/0! #DIV/0! #DIV/0!5 3 3327.102 0.420 0.0001 0.001 #DIV/0! #DIV/0! #DIV/0!4 3 3327.102 0.628 0.0001 0.002 #DIV/0! #DIV/0! #DIV/0!3 3 3327.102 0.797 0.0002 0.002 #DIV/0! #DIV/0! #DIV/0!2 3 #DIV/0! 0.955 0.0002 #DIV/0! #DIV/0! #DIV/0! #DIV/0!1 3 #DIV/0! 1.071 0.0002 #DIV/0! #DIV/0! #DIV/0! #DIV/0!



Dcn Qćn Dcn Qćn Q´wn Dwn Dcn Qćn6 0.083 0.271 0.163 0.534 3.991 4055.1 1.085 3.5535 0.083 0.372 0.163 0.733 11.082 8212.6 1.085 4.8714 0.083 0.465 0.163 0.917 16.547 9802.2 1.085 6.0943 0.083 0.512 0.163 1.010 21.013 11302.0 1.085 6.7122 0.083 0.470 0.163 0.926 25.177 #DIV/0! 1.085 6.156

1 0.523 1.658 0.166 0.525 28.248 #DIV/0! 1.275 4.040

EJE 6 - 6 Tn/cm

4055.105KL= 275.57 542.983 3609.892 84.836

8212.557KL= 275.57 542.983 3609.892 126.410

9802.226KL= 275.57 542.983 3609.892 142.307

11302.028KL= 275.57 542.983 3609.892 157.305

#DIV/0!KL= 275.57 542.983 3609.892 #DIV/0!

#DIV/0!KL= 1740.99 551.643 4241.727 #DIV/0!

OSAWA EJE 1 - 1 E = 2173706.51 tn/m2

Ko = 0.001 G= 905711.05 f = 1.2b = 5.238 b = 1.438

Iv 0.00089323 a = 0.0875 2.16250.25 0.35 0.25 0.35 0.25 0.35 L (m)

0.25 4.25

5.216

0.25 0.4 0.173 0.25 4.25

3

Ic 0.00553 0.00052 0.00553Kc 1.845 0.174 1.845K 2.83 31.0 0.1a 0.59 0.94 0.04D 1.080 0.163 0.083

0.1730.25 4.25

5.216

0.25 0.4 0.25 4.25

3

Ic 0.00553 0.00052 0.00553Kc 1.845 0.174 1.845K 2.83 31.0 0.1a 0.59 0.94 0.04

Qwn*hn/(G*Awn)

D 1.080

5.216

0.163 0.083

3

0.1730.25 4.25

5.216

0.25 0.4 0.25 4.25

3

Ic 0.00553 0.00052 0.00553Kc 1.845 0.174 1.845K 2.83 31.0 0.1a 0.59 0.94 0.04D 1.080 0.163 0.083

0.1730.25 4.25

5.216

0.25 0.4 0.25 4.25

3

Ic 0.00553385 0.00052 0.00553Kc 1.845 0.174 1.845K 2.83 31.0 0.1a 0.59 0.94 0.04D 1.080 0.163 0.083

0.1730.25 4.25

5.216

0.25 0.4 0.25 4.25

3

Ic 0.00553 0.00052 0.00553Kc 1.845 0.174 1.845K 2.83 31.0 0.1a 0.59 0.94 0.04D 1.080 0.163 0.083

0.1730.25 4.25

5.216

0.25 0.4 0.25 4.25

3

Ic 0.00553 0.00052 0.00553Kc 1.8446 0.174 1.8446K 2.828 31.0 0.1a 0.69 0.95 0.28

D 1.271 0.166 0.523L = 2.25e= 0.25

L(m)= 5.15 3.6 3.6

Para la Placa Nivel hm W hw1 k Fs QsK21 = 1558.42 6 18 23.75 427.538 0.242 8.350 8.350K23 = 66466.04 5 15 29.72 445.807 0.253 8.707 17.057K´1 = 68024.46 4 12 29.72 356.646 0.202 6.966 24.023

Kv1 = 5.216 3 9 29.72 267.484 0.152 5.224 29.2472 6 29.72 178.323 0.101 3.483 32.730

1 3 29.72 89.161 0.051 1.741 34.471


1 1.271 0.166 0.523 1.960

Ecuaciones de Osawa


1 3.00 79.102 1.960 0.563 1.065 1.841 73.579 84.624 34.471 97.107



*

Φ6

=

d65 31.29 197.120 75.290 73.014 5 -75.29 197.12 -75.29 0.00 0.00 0.00 Φ5 d54 31.29 197.120 75.290 118.053 4 0.00 -75.29 197.12 -75.29 0.00 0.00 Φ4 d43 31.29 197.120 75.290 153.083 3 0.00 0.00 -75.29 197.12 -75.29 0.00 Φ3 d32 31.29 197.120 75.290 178.105 2 0.00 0.00 0.00 -75.29 197.12 -75.29 Φ2 d21 31.29 198.832 73.579 191.164 1 0.00 0.00 0.00 0.00 -75.29 198.83 Φ1 d1

114.207 -75.290 0.000 0.000 0.000 0.000

*

Φ6

=

24.00

-75.290 197.120 -75.290 0.000 0.000 0.000 Φ5 73.01

0.000 -75.290 197.120 -75.290 0.000 0.000 Φ4 118.05

0.000 0.000 -75.290 197.120 -75.290 0.000 Φ3 153.08

0.000 0.000 0.000 -75.290 197.120 -75.290 Φ2 178.10

0.000 0.000 0.000 0.000 -75.290 198.832 Φ1 191.16

Φ6

=

1.38

Φ5 1.78

Φ4 2.30

Φ3 2.68

Φ2

=

2.68

Φ1 1.98



1 1.98 5.93 1.84 97.11 28.729274 5.74 15.65 30.937



6 3 2898.275 0.151 0.00002 0.001 0.010 0.050 0.0025 3 2898.275 0.423 0.00007 0.002 0.008 0.044 0.0034 3 2898.275 0.633 0.00010 0.002 0.007 0.036 0.0033 3 2898.275 0.804 0.00012 0.002 0.005 0.026 0.0042 3 2898.275 0.965 0.00015 0.002 0.003 0.015 0.0031 3 2898.275 1.090 0.00017 0.001 0.001 0.005 0.002




1 1.271 3.724 28.729 28430.68 0.166 0.485 0.523 1.533

EJE 1 - 1Tn/cm

3510.106KL= 3594.632 542.658 275.575 79.230

7270.161KL= 3594.632 542.658 275.575 116.830

8737.087KL= 3594.632 542.658 275.575 131.500

10132.591KL= 3594.632 542.658 275.575 145.455

13397.158KL= 3594.632 542.658 275.575 178.100

28430.678KL= 4230.282 551.399 1740.989 349.533

Qwn*hn/(G*Awn)

RESUMEN POR PLANTA EN X -X

RIGIDECES EN Y- Y n Kl

6 84.845 126.41

EJE B-B Pl - ext 225 25 4 142.31Pl -int 225 25 3 157.30

E = 217370.651192842 kg/cm² Pl - c 225 25 2 #DIV/0!Col 25 40 1 #DIV/0!

Viga 25 45 Iv 189844 Kv 375.928 372.243 452.01 372.24 375.93 Tn/cm L (cm) n KlI 292968.8 133333.3 292968.8 133333.3 292968.8 133333.3

300

6 55.28Kc 976.56 444.44 976.56 444.44 976.56 444.44 5 86.68K 0.38 1.68 0.84 1.85 0.77 0.85 4 100.76a 0.16 0.46 0.30 0.48 0.28 0.30 3 114.39D 157.63 203.12 289.82 213.84 270.48 132.10 2 144.16 Kl 4568.41 5886.99 8399.72 6197.61 7839.14 3828.55 36.72 1 290.15

375.93 372.24 452.01 372.24 375.93

I 292968.8 133333.33 292969 133333.33 292969 292968.8

300

Kc 976.56 444.44 976.56 444.44 976.56 444.44 n KlK 0.38 1.68 0.84 1.85 0.77 0.85 6 61.35a 0.16 0.46 0.30 0.48 0.28 0.30 5 96.17D 157.63 203.12 289.82 213.84 270.48 132.10 4 111.45 Kl 4568.41 5886.99 8399.72 6197.61 7839.14 3828.55 36.72 3 126.08

375.93 372.24 452.01 372.24 375.93 2 #DIV/0!I 292968.8 133333.33 292969 133333.33 292969 292968.8

300

1 #DIV/0!Kc 976.56 444.44 976.56 444.44 976.56 444.44

K 0.38 1.68 0.84 1.85 0.77 0.85

a 0.16 0.46 0.30 0.48 0.28 0.30 n KlD 157.63 203.12 289.82 213.84 270.48 132.10 6 55.26 Kl 4568.41 5886.99 8399.72 6197.61 7839.14 3828.55 36.72 5 86.68

375.93 372.24 452.01 372.24 375.93 4 100.76I 292968.8 133333.33 292969 133333.33 292969 292968.8

300

3 114.39Kc 976.56 444.44 976.56 444.44 976.56 444.44 2 144.17K 0.38 1.68 0.84 1.85 0.77 0.85 1 290.16a 0.16 0.46 0.30 0.48 0.28 0.30

D 157.63 203.12 289.82 213.84 270.48 132.10

Kl 4568.41 5886.99 8399.72 6197.61 7839.14 3828.55 36.72 n Kl375.93 372.24 452.01 372.24 375.93 6 58.41

I 292968.8 133333.33 292969 133333.33 292969 292968.8

300

5 123.65Kc 976.56 444.44 976.56 444.44 976.56 444.44 4 187.59K 0.38 1.68 0.84 1.85 0.77 0.85 3 438.12a 0.16 0.46 0.30 0.48 0.28 0.30 2 0.00D 157.63 203.12 289.82 213.84 270.48 132.10 1 0.00 Kl 4568.41 5886.99 8399.72 6197.61 7839.14 3828.55 36.72

375.93 372.24 452.01 372.24 375.93

I 292968.8 133333.33 292969 133333.33 292969 292968.8

300

n KlKc 976.56 444.44 976.56 444.44 976.56 444.44 6 79.23K 0.38 1.68 0.84 1.85 0.77 0.85 5 116.83a 0.37 0.59 0.47 0.61 0.46 0.47 4 131.50D 362.36 263.45 461.50 271.49 447.00 210.18 3 145.45 Kl 10502.18 7635.55 13376 7868.51 12955 6091.72 58.43 2 178.10

1 349.53

L(cm) 505 510 420 510 505

A B

EJE C-C Pl - ext 225 25Pl -int 225 25

E = 217370.651192842 kg/cm² Pl - c 225 25 RESUMEN POR PLANTA EN Y - Y Col 40 25

Viga 25 45

Iv 189843.8

Kv 375.928 372.243 452.01 372.24 375.93 Tn/cm L (cm)

I 133333.3 292968.8 133333.3 292968.8 133333.33 292969

300

Kc 444.44 976.56 444.44 976.56 444.44 976.56

K 0.85 0.77 1.85 0.84 1.68 0.38

a 0.30 0.28 0.48 0.30 0.46 0.16

D 132.10 270.48 213.84 289.82 203.12 157.63

Kl 3828.55 7839.14 6197.61 8399.72 5886.99 4568.41 36.72375.93 372.24 452.01 372.24 375.93

I 133333.3 292968.8 133333.33 292968.75 133333.33 292969

300

Kc 444.44 976.56 444.44 976.56 444.44 976.56

K 0.85 0.77 1.85 0.84 1.68 0.38

a 0.30 0.28 0.48 0.30 0.46 0.16

D 132.10 270.48 213.84 289.82 203.12 157.63

Kl 3828.55 7839.14 6197.61 8399.72 5886.99 4568.41 36.72375.93 372.24 452.01 372.24 375.93

I 133333.3 292968.8 133333.33 292968.75 133333.33 292969

300

Kc 444.44 976.56 444.44 976.56 444.44 976.56

K 0.85 0.77 1.85 0.84 1.68 0.38

300a 0.30 0.28 0.48 0.30 0.46 0.16

D 132.10 270.48 213.84 289.82 203.12 157.63

Kl 3828.55 7839.14 6197.61 8399.72 5886.99 4568.41 36.72375.93 372.24 452.01 372.24 375.93 n Kl n

I 133333.3 292968.8 133333.33 292968.75 133333.33 292969

300

6 1536.06 6Kc 444.44 976.56 444.44 976.56 444.44 976.56 5 1908.49 5K 0.85 0.77 1.85 0.84 1.68 0.38 4 1983.77 4a 0.30 0.28 0.48 0.30 0.46 0.16 3 2056.87 3D 132.10 270.48 213.84 289.82 203.12 157.63 2 2267.57 2 Kl 3828.55 7839.14 6197.61 8399.72 5886.99 4568.41 36.72 1 3204.97 1

375.93 372.24 452.01 372.24 375.93

I 133333.3 292968.8 133333.33 292968.75 133333.33 292969

300

Kc 444.44 976.56 444.44 976.56 444.44 976.56

K 0.85 0.77 1.85 0.84 1.68 0.38

a 0.30 0.28 0.48 0.30 0.46 0.16

D 132.10 270.48 213.84 289.82 203.12 157.63

Kl 3828.55 7839.14 6197.61 8399.72 5886.99 4568.41 36.72375.93 372.24 452.01 372.24 375.93

I 133333.3 292968.8 133333.33 292968.75 133333.33 292969

300

Kc 444.44 976.56 444.44 976.56 444.44 976.56

K 0.85 0.77 1.85 0.84 1.68 0.38

a 0.47 0.46 0.61 0.47 0.59 0.37

D 210.18 447.00 271.49 461.50 263.45 362.36

Kl 6091.72 12955.22 7868.51 13375.66 7635.55 10502.2 58.43

L(cm) 505 510 420 510 505

A B

OSAWA EJE A - AE= 2173706.51 tn/m2

Ko = 0.001 G= 905711.05 f = 1.2Iv 0.0018984 b = 0.912

b = 0.912 a = 4.138a = 4.138 0.25 0.45 0.25 0.45 0.25 0.45 0.25 0.45 L (m)

105.801

0.25 0.4 0.372 0.25 0.4 0.452 0.25 0.4 0.372 0.25 0.4

105.801 3

Ic 0.0013 0.0013 0.0013 0.0013Kc 0.444 0.444 0.444 0.444K 238.89 1.85 1.85 238.89

a 0.99 0.48 0.48 0.99

D 0.44 0.21 0.21 0.44

0.372 0.452 0.372

105.801

0.25 0.4 0.25 0.4 0.25 0.4 0.25 0.4

105.801 3

Ic 0.0013 0.0013 0.0013 0.0013Kc 0.444 0.444 0.444 0.444K 238.89 1.85 1.85 238.89

a 0.99 0.48 0.48 0.99

D 0.44 0.21 0.21 0.44

0.372 0.452 0.372

105.801

0.25 0.4 0.25 0.4 0.25 0.4 0.25 0.4

105.801 3

Ic 0.0013 0.0013 0.0013 0.0013Kc 0.444 0.444 0.444 0.444K 238.89 1.85 1.85 238.89

a 0.99 0.48 0.48 0.99

D 0.44 0.21 0.21 0.44

0.372 0.452 0.372

105.801

0.25 0.4 0.25 0.4 0.25 0.4 0.25 0.4

105.801 3

Ic 0.0013 0.0013 0.0013 0.0013

Kc 0.444 0.444 0.444 0.444K 238.89 1.85 1.85 238.89

a 0.99 0.48 0.48 0.99

D 0.44 0.21 0.21 0.44

0.372 0.452 0.372

105.801

0.25 0.4 0.25 0.4 0.25 0.4 0.25 0.4

105.801 3

Ic 0.0013 0.0013 0.0013 0.0013Kc 0.444 0.444 0.444 0.444

K 238.89 1.85 1.85 238.89

a 0.99 0.48 0.48 0.99

D 0.44 0.21 0.21 0.44

0.372 0.452 0.372

105.801

0.25 0.4 0.25 0.4 0.25 0.4 0.25 0.4

105.801 3

Ic 0.0013 0.0013 0.0013 0.0013

Kc 0.444 0.444 0.444 0.444K 238.89 1.85 1.85 238.89

a 0.99 0.61 0.61 0.99

D 0.44 0.27 0.27 0.44

L = 4.25 L = 4.25e = 0.25 e = 0.25

L(m) 5.05 5.1 4.2 5.1 5.05

Para la Placa Nivel hm W hw1 k Fs QsK12 = 1379877 K65 = 1379877 6 18 44.61 803.04 0.22 15.85 15.850

K´1 = 1379877 K´2 = 1379877 5 15 61.97 929.53 0.26 18.35 34.197

Kv1 = 105.8 Kv2 = 105.801 4 12 61.97 743.62 0.21 14.68 48.875

3 9 61.97 557.72 0.16 11.01 59.883

2 6 61.97 371.81 0.10 7.34 67.222

Kvn = 211.601 1 3 61.97 185.91 0.05 3.67 70.891

EJE 1 EJE 6 Kw Do Dc ΣDcKw6 = 533.095 533.095 1066.19 2898.28 N Eje 1 Eje 2 Eje 3 Eje 4 Eje 5 Eje 6Kw5 = 533.095 533.095 1066.19 2898.28 6 0.44 0.21 0.21 0.44 1.309Kw4 = 533.095 533.095 1066.19 2898.28 5 0.44 0.21 0.21 0.44 1.309Kw3 = 533.095 533.095 1066.19 2898.28 4 0.44 0.21 0.21 0.44 1.309Kw2 = 533.095 533.095 1066.19 2898.28 3 0.44 0.21 0.21 0.44 1.309Kw1 = 533.095 533.095 1066.19 2898.28 2 0.44 0.21 0.21 0.44 1.309

1 0.44 0.27 0.27 0.44 1.426

Ecuaciones de Osawa


5 3.00 1066.19 1.31 2.13 1.01 1.30 1062.29 1070.08 34.20 101.75

4 3.00 1066.19 1.31 2.13 1.01 1.30 1062.29 1070.08 48.88 145.41

3 3.00 1066.19 1.31 2.13 1.01 1.30 1062.29 1070.08 59.88 178.17

2 3.00 1066.19 1.31 2.13 1.01 1.30 1062.29 1070.08 67.22 200.00

1 3.00 1066.19 1.43 2.13 1.01 1.41 1061.95 1070.43 70.89 210.76



*

Φ6

=

d65 1269.61 3409.78 1062.29 148.90 5 -1062.3 3409.8 -1062.3 0.0 0.0 0.0 Φ5 d5

4 1269.61 3409.78 1062.29 247.16 4 0.0 -1062.3 3409.8 -1062.3 0.0 0.0 *Φ4

=d4

3 1269.61 3409.78 1062.29 323.58 3 0.0 0.0 -1062.3 3409.8 -1062 0.0 Φ3 d3

2 1269.61 3409.78 1062.29 378.17 2 0.0 0.0 0.0 -1062.3 3409.8 -1062.3

*

Φ2

=

d21 1269.61 3410.12 1061.95 410.76 1 0.0 0.0 0.0 0.0 -1062 3410.1 Φ1 d1

2339.7 -1062.3 0.0 0.0 0.0 0.0 Φ6 47.2

-1062.3 3409.8 -1062 0.0 0.0 0.0 Φ5 148.9

0.0 -1062.3 3409.8 -1062.3 0.0 0.0

*

Φ4

=

247.2

0.0 0.0 -1062 3409.8 -1062.3 0.0 Φ3 323.6

0.0 0.0 0.0 -1062.3 3409.8 -1062.3 Φ2 378.2

0.0 0.0 0.0 0.0 -1062.3 3410.1 Φ1 410.8

Φ6

=

0.08Φ5 0.12Φ4 0.18Φ3 0.23Φ2 0.24Φ1 0.20


Niv Φn Zn Cn Qwn Qcn 3Kvn Mvn

6 0.08 0.60 1.30 47.16 15.46 0.39 634.80 48.60

5 0.12 0.92 1.30 101.75 33.52 0.68 634.80 78.85

4 0.18 1.23 1.30 145.41 47.94 0.93 634.80 115.52

3 0.23 1.41 1.30 178.17 58.78 1.10 634.80 144.25

2 0.24 1.32 1.30 200.00 66.10 1.12 634.80 154.12

1 0.20 0.59 1.41 210.76 69.98 0.91 634.80 124.48


Niv Hi Don δn δt δtr D

6 3.00 2898.28 0.04 0.00002 0.000 0.001 0.007 0.000

5 3.00 2898.28 0.09 0.0001 0.000 0.001 0.006 0.000

4 3.00 2898.28 0.13 0.0001 0.000 0.001 0.006 0.000

3 3.00 2898.28 0.17 0.0001 0.000 0.001 0.004 0.001

2 3.00 2898.28 0.19 0.0001 0.000 0.001 0.003 0.001

1 3.00 2898.28 0.20 0.0001 0.000 0.000 0.001 0.000


NivEje 1 Eje 2 Eje 3 Eje 4 Eje 5 Eje 6

Q´wn Dwn Dcn Qćn Dcn Qćn Dcn Qćn Dcn Qćn Q´wn Dwn

6 7.73 74906 0.44 0.13 0.21 0.06 0.21 0.06 0.44 0.13 7.73 74905.925 16.76 93527 0.44 0.23 0.21 0.11 0.21 0.11 0.44 0.23 16.76 93527.454 23.97 97291 0.44 0.31 0.21 0.15 0.21 0.15 0.44 0.31 23.97 97291.163 29.39 100946 0.44 0.37 0.21 0.18 0.21 0.18 0.44 0.37 29.39 100946.292 33.05 111481 0.44 0.38 0.21 0.18 0.21 0.18 0.44 0.38 33.05 111481.33

1 34.99 158181 0.44 0.28 0.27 0.17 0.27 0.17 0.44 0.28 34.99 158181.37

EJE A - ATn/cm

74905.92 74905.92KL= 1277.4276 619.76 619.76 1277.4 1536.06

93527.45 93527.45KL= 1277.4276 619.76 619.76 1277.4 1908.49

97291.16 97291.16KL= 1277.4276 619.76 619.76 1277.4 1983.77

100946.29 100946.29KL= 1277.4276 619.76 619.76 1277.4 2056.87

111481.33 111481.33KL= 1277.4276 619.76 619.76 1277.4 2267.57

158181.37 158181.37KL= 1280.1013 786.85 786.85 1280.1 3204.97

3*(Φn+Φn-1)

Qwn*(hn/Kwn)

Qwn*hn/(G*Awn)

OSAWA EJE D - DE= 2173706.51 tn/m2

Ko = 0.001 G= 905711.05 f = 1.2b = 0.912 b = 0.912a = 4.138 Iv 0.0018984 a = 4.138

0.25 0.45 0.25 0.45 0.25 0.45 0.25 0.45 L (m)

105.801

0.25 0.4 0.372 0.25 0.4 0.452 0.25 0.4 0.372 0.25 0.4

105.801 3

Ic 0.0013 0.0013 0.0013 0.0013Kc 0.444 0.444 0.444 0.444K 238.89 1.85 1.85 238.89

a 0.99 0.48 0.48 0.99

D 0.44 0.21 0.21 0.44

0.372 0.452 0.372

105.801

0.25 0.4 0.25 0.4 0.25 0.4 0.25 0.4

105.801 3

Ic 0.0013 0.0013 0.0013 0.0013Kc 0.444 0.444 0.444 0.444K 238.89 1.85 1.85 238.89

a 0.99 0.48 0.48 0.99

D 0.44 0.21 0.21 0.44

0.372 0.452 0.372

105.801

0.25 0.4 0.25 0.4 0.25 0.4 0.25 0.4

105.801 3

Ic 0.0013 0.0013 0.0013 0.0013Kc 0.444 0.444 0.444 0.444K 238.89 1.85 1.85 238.89

a 0.99 0.48 0.48 0.99

D 0.44 0.21 0.21 0.44

0.372 0.452 0.372

105.801

0.25 0.4 0.25 0.4 0.25 0.4 0.25 0.4

105.801 3

Ic 0.0013 0.0013 0.0013 0.0013Kc 0.444 0.444 0.444 0.444K 238.89 1.85 1.85 238.89

a 0.99 0.48 0.48 0.99

D 0.44 0.21 0.21 0.44

0.372 0.452 0.372

105.801

0.25 0.4 0.25 0.4 0.25 0.4 0.25 0.4

105.801 3

Ic 0.0013 0.0013 0.0013 0.0013Kc 0.444 0.444 0.444 0.444K 238.89 1.85 1.85 238.89

a 0.99 0.48 0.48 0.99

D 0.44 0.21 0.21 0.44

0.372 0.452 0.372

105.801

0.25 0.4 0.25 0.4 0.25 0.4 0.25 0.4

105.801 3

Ic 0.0013 0.0013 0.0013 0.0013Kc 0.444 0.444 0.444 0.444K 238.89 1.85 1.85 238.89

a 0.99 0.61 0.61 0.99

D 0.44 0.27 0.27 0.44

L = 4.25 L = 4.25e = 0.25 e = 0.25

L(m) 5.05 5.1 4.2 5.1 5.05

Para la Placa Nivel hm W hw1 k Fs QsK12 = 1379877 K65 = 1379877 6 18 34.68 624.24 0.22 12.35 12.35

K´1 = 1379877 K´2 = 1379877 5 15 49.52 742.75 0.26 14.70 27.05

Kv1 = 105.801 Kv2 = 106 4 12 49.52 594.20 0.21 11.76 38.81

3 9 49.52 445.65 0.16 8.82 47.63

Kvn = 211.601 2 6 49.52 297.10 0.10 5.88 53.51

1 3 49.52 148.55 0.05 2.94 56.45

Eje1 Eje6 Kw Do Dc ΣDcKw6 = 533.095 533.095 1066.2 2898.28 N Eje 6 Eje 5 Eje 4 Eje 3 Eje 2 Eje 1Kw5 = 533.095 533.095 1066.2 2898.28 6 0.44 0.21 0.21 0.44 1.309Kw4 = 533.095 533.095 1066.2 2898.28 5 0.44 0.21 0.21 0.44 1.309Kw3 = 533.095 533.095 1066.2 2898.28 4 0.44 0.21 0.21 0.44 1.309Kw2 = 533.095 533.095 1066.2 2898.28 3 0.44 0.21 0.21 0.44 1.309Kw1 = 533.095 533.095 1066.2 2898.28 2 0.44 0.21 0.21 0.44 1.309

1 0.44 0.27 0.27 0.44 1.426

Ecuaciones de Osawa

Niv Hi Kw ΣDc Aw Xn Zn Bn An Q Cn

6 3.00 1066.19 1.31 2.13 1.01 1.30 1062.29 1070.08 12.35 36.76

5 3.00 1066.19 1.31 2.13 1.01 1.30 1062.29 1070.08 27.05 80.49

4 3.00 1066.19 1.31 2.13 1.01 1.30 1062.29 1070.08 38.81 115.48

3 3.00 1066.19 1.31 2.13 1.01 1.30 1062.29 1070.08 47.63 141.72

2 3.00 1066.19 1.31 2.13 1.01 1.30 1062.29 1070.08 53.51 159.21

1 3.00 1066.19 1.43 2.13 1.01 1.41 1061.95 1070.43 56.45 167.84



*

Φ6

=

d65 1269.61 3409.78 1062.29 117.25 5 -1062.3 3409.78 -1062.29 0.00 0.00 0.00 Φ5 d54 1269.61 3409.78 1062.29 195.97 4 0.00 -1062.29 3409.78 -1062.3 0.00 0.00 Φ4 d43 1269.61 3409.78 1062.29 257.20 3 0.00 0.00 -1062.29 3409.78 -1062 0.00 Φ3 d32 1269.61 3409.78 1062.29 300.93 2 0.00 0.00 0.00 -1062.3 3409.8 -1062.29 Φ2 d21 1269.61 3410.12 1061.95 327.05 1 0.00 0.00 0.00 0.00 -1062 3410.12 Φ1 d1

2339.7 -1062.3 0.0 0.0 0.0 0.0 Φ6 36.8

-1062.3 3409.8 -1062 0.0 0.0 0.0 Φ5 117.2

0.0 -1062.3 3409.8 -1062.3 0.0 0.0

*

Φ4

=

196.0

0.0 0.0 -1062 3409.8 -1062.3 0.0 Φ3 257.2

0.0 0.0 0.0 -1062.3 3409.8 -1062.3 Φ2 300.9

0.0 0.0 0.0 0.0 -1062.3 3410.1 Φ1 327.0

Φ6

=

0.060

Φ5 0.098

Φ4 0.144

Φ3 0.181

Φ2 0.193

Φ1 0.156


Niv Φn Zn Cn Qwn Qcn 3Kvn Mvn

6 0.06 0.48 1.30 36.76 12.05 0.31 634.80 38.25

5 0.10 0.73 1.30 80.49 26.52 0.54 634.80 62.28

4 0.14 0.97 1.30 115.48 38.07 0.74 634.80 91.59

3 0.18 1.12 1.30 141.72 46.75 0.88 634.80 114.61

2 0.19 1.05 1.30 159.21 52.62 0.90 634.80 122.60

1 0.16 0.47 1.41 167.84 55.72 0.73 634.80 99.07


Niv Hi Don δn δt δtr D

6 3.00 2898.28 0.03 0.0000 0.000 0.001 0.006 0.000

5 3.00 2898.28 0.07 0.0000 0.000 0.001 0.005 0.000

4 3.00 2898.28 0.11 0.0001 0.000 0.001 0.004 0.000

3 3.00 2898.28 0.13 0.0001 0.000 0.001 0.003 0.000

2 3.00 2898.28 0.15 0.0001 0.000 0.000 0.002 0.000

1 3.00 2898.28 0.16 0.0001 0.000 0.000 0.001 0.000


NivEje 1 Eje 2 Eje 3 Eje 4 Eje 5 Eje 6

Q´wn Dwn Dcn Qćn Dcn Qćn Dcn Qćn Dcn Qćn Q´wn Dwn6 6.02 74295.17 0.44 0.10 0.21 0.05 0.21 0.05 0.44 0.10 6.02 74295.175 13.26 93488.27 0.44 0.18 0.21 0.09 0.21 0.09 0.44 0.18 13.26 93488.274 19.04 97313.54 0.44 0.25 0.21 0.12 0.21 0.12 0.44 0.25 19.04 97313.543 23.38 100975.72 0.44 0.30 0.21 0.14 0.21 0.14 0.44 0.30 23.38 100975.722 26.31 111510.64 0.44 0.30 0.21 0.15 0.21 0.15 0.44 0.30 26.31 111510.64

1 27.86 158206.86 0.44 0.23 0.27 0.14 0.27 0.14 0.44 0.23 27.86 158206.86

EJE D - DTn/cm

74295.168KL= 1466.4348 711.45983 711.46 1466.43 74295.17 1529.461

93488.272KL= 1466.4348 711.45983 711.46 1466.43 93488.27 1913.323

97313.536KL= 1466.4348 711.45983 711.46 1466.43 97313.54 1989.829

100975.725

3*(Φn+Φn-1)

Qwn*(hn/Kwn)

Qwn*hn/(G*Awn)

100975.725KL= 1466.4348 711.45983 711.46 1466.43 100975.7 2063.072

111510.636KL= 1466.4348 711.45983 711.46 1466.43 111510.6 2273.771

158206.863KL= 1469.5041 903.27285 903.27 1469.50 158206.9 3211.593

RIGIDECES EN X - XEje 1 -1 Placa 25 425

E = 217370.65 kg/cm² Col 25 40 Viga 25 40

Iv 133333.33333

Kv 258.90 370.37 370.37

6 I 553385 52083.33 52083.33

Kc 1844.62 173.61 173.61

K 0.1404 3.62 4.27

a 0.0656 0.64 0.68

D 120.96 111.88 118.20

Kl 3505.79 3242.54 3425.86

258.90 370.37 370.37

I 553385 52083.33 52083.33

Kc 1844.62 173.61 173.61

5 K 0.1404 3.62 4.27

a 0.0656 0.64 0.68

D 120.96 111.88 118.20

Kl 3505.79 3242.54 3425.86

258.90 370.37 370.37

I 553385 52083.33 52083.33

Kc 1844.62 173.61 173.61

K 0.14035 3.62 4.27

a 0.0656 0.64 0.68

4 D 120.96 111.88 118.20

Kl 3505.79 3242.54 3425.86

258.90 370.37 370.37

I 553385 52083.33 52083.33

Kc 1844.62 173.61 173.61

K 0.14035 3.62 4.27

a 0.0656 0.64 0.68

D 120.96 111.88 118.20

Kl 3505.79 3242.54 3425.86

3 258.90 370.37 370.37

I 553385 52083.33 52083.33

Kc 1844.62 173.61 173.61

K 0.1404 3.62 4.27

a 0.0656 0.64 0.68

D 120.96 111.88 118.20

Kl 3505.79 3242.54 3425.86

258.90 370.37 370.37

I 553385 52083.33 52083.33

2 Kc 1844.62 173.61 173.61

K 0.1404 3.62 4.27

a 0.2992 0.73 0.76

D 551.88 127.31 132.06

Kl 15994.87 3689.84 3827.33

L(cm) 515 360 360

1

C D Eje 6 - 6 Placa 25 425

E = 217370.65 kg/cm² Col 25 40 Viga 25 40

Iv 133333.3333

Kv 258.90 370.37 370.37

I 553385.42 52083.33 52083.33

Kc 1844.62 173.61 173.61

K 0.14 3.62 4.27

a 0.07 0.64 0.68

D 120.96 111.88 118.20

Kl 3505.79 3242.54 3425.86

258.90 370.37 370.37

I 553385.42 52083.33 52083.33

Kc 1844.62 173.61 173.61

K 0.14 3.62 4.27

a 0.07 0.64 0.68

D 120.96 111.88 118.20

6 Kl 3505.79 3242.54 3425.86

258.90 370.37 370.37

I 553385.42 52083.33 52083.33

Kc 1844.62 173.61 173.61

K 0.14 3.62 4.27

a 0.07 0.64 0.68

D 120.96 111.88 118.20

Kl 3505.79 3242.54 3425.86

258.90 370.37 370.37

5 I 553385.42 52083.33 52083.33

Kc 1844.62 173.61 173.61

K 0.14 3.62 4.27

a 0.07 0.64 0.68

D 120.96 111.88 118.20

Kl 3505.79 3242.54 3425.86

258.90 370.37 370.37

I 553385.42 52083.33 52083.33

Kc 1844.62 173.61 173.61

4 K 0.14 3.62 4.27

a 0.07 0.64 0.68

Kl n Kl n Kl D 120.96 111.88 118.20

36.72 6 36.72 6 1529.46 Kl 3505.79 3242.54 3425.86

36.72 5 36.72 5 1913.32 258.90 370.37 370.37

36.72 4 36.72 4 1989.83 I 553385.42 52083.33 52083.33

36.72 3 36.72 3 2063.07 Kc 1844.62 173.61 173.61

36.72 2 36.72 2 2273.77 K 0.14 3.62 4.27

58.43 1 58.43 1 3211.59 a 0.30 0.73 0.76

D 551.88 127.31 132.06

3 Kl 15994.87 3689.84 3827.33

L(cm) 515 360 360

2

1

C D

Tn/cm L (cm)

553385

300

1844.62

0.20

0.09

168.29

4877.51 15.05

553385.42

300

1844.62

0.20

0.09

168.29

4877.51 15.05

553385.42

300

1844.62

0.20

0.09

168.29

4877.51 15.05

553385.42

300

1844.62

0.20

0.09

168.29

4877.51 15.05

553385.42

300

1844.62

0.20

0.09

168.29

4877.51 15.05

553385.42

300

1844.62

0.20

0.32

587.37

17023.66 40.54

360

Tn/cm L (cm)

553385.4

300

1844.62

0.2008

0.0912

168.29

4877.51 15.05

553385.4

300

1844.62

0.20

0.09

168.29

4877.51 15.05

553385.4

300

1844.62

0.20

0.09

168.29

4877.51 15.05

553385.4

300

1844.62

0.20

0.09

168.29

4877.51 15.05

553385.4

300

1844.62

0.20

0.09

168.29

4877.51 15.05

553385.4

300

1844.62

0.20

0.32

587.37

17023.66 40.54

360

ANÁLISIS ESTÁTICO EN LA DIRECCIÓN X-X

ko= 0.001

a = 0.650 0.65b =

col = 0.25 0.30

Ic = 0.0006

Kc = 0.2009

2.8 k = 5.3536 KV = 1.076

a = 0.7280

D = 0.1463

col = 0.30 0.50

Ic = 0.0006

Kc = 0.2009

2.8 k = 5.3536 KV = 1.076

a = 0.7280

D = 0.1463

Ic = 0.0006

Kc = 0.2009

k = 5.3536 KV = 1.076

a = 0.7280

D = 0.1463

col = 0.30 0.60

Ic = 0.0054

Kc = 0.2009

2.8 k = 5.3536 KV = 1.076

a = 0.7960

D = 0.1599

L 2= 1.5PLACA N° 02

e2 = 0.25

4.2

0.25 0.4

0.00133 m4

I.Placa N° 2 = 0.0703125 m4

I.Placa N° 3= 0.07031 m4

Calculo del "a" :0.650 m

Calculo del "b" :3.550 m

Calculo del "K" :

PLACA N° 01

K1 = 5388 K´1 = 14027

k2 = 8639 1.076

Calculo de la Fuerza Sismica en cada uno de los Pisos :

Nivel hi P.sism hi * Psism k Fs321

Z = 0.4U = 1.5 V = 57.70276733 TnS = 1.4

TP = 0.9T(ht/ct) = 0.00

ct = 45C = #DIV/0! 2.5R = 7

V1-2 (m) =

IV1-2 =

a 2-1 = a 2-3 =

b 1-2 = b 2-3 =

KV1 =

PLACA N° 01 PLACA N° 02 KwKw.4 25.112 25.112 50.223Kw.3 25.112 25.112 50.223Kw.2 25.112 25.112 50.223Kw.1 25.112 25.112 50.223

ECUACION DE OSAWA :

a ) Constantes de Entrepiso :

NivelEje - Dc

1 2 3 4 54 0.1463 0 0 0.1563 0.12843 0.1463 0 0 0.1563 0.12842 0.1463 0 0 0.1563 0.12841 0.1599 0.1675 0.1465

Nivel h.n Kw.n Σ Dc AW.n X.n4 2.8 50.223 0.5260 0.75 1.019

3 2.8 50.223 0.5260 0.75 1.0192 2.8 50.223 0.5260 0.75 1.0191 2.8 50.223 0.5954 0.75 1.022

ARMANDO LA ECUACIÓN DE OSAWA :

Nivel 6*Kvn a.n b.n d.n4 12.808 64.5797 48.67 50.833 12.808 116.351 48.67 155.512 12.808 116.351 48.67 245.271 12.808 116.551 48.47 298.73

CORTANTES Y MOMENTOS ( para las placas ) :

Nivel φ.n (φ.n-1 + φ.n)*3 Z.n C.n Qw.n4 6.01 12.95 0.516 50.83 15.773 6.94 14.30 0.516 104.68 34.752 7.37 13.01 0.516 140.58 47.811 5.64 5.64 0.583 158.14 55.31

DETERMINACION DE LA DEFORMACION POR ENTREPISO:

Nivel hn Do.n Qw.n * hn /Kw.n Qw.n * hn / G * AW.n4 2.8 3327.10 0.8790 0.00006503 2.8 3327.10 1.9374 0.00014322 2.8 3327.10 2.6655 0.00019711 2.8 3327.10 3.0834 0.0002280

CORTANTES POR PORTICOS Y PLACAS :

NivelEje 1 Eje 2 Eje 3

Dc.n Qc.n Qw.n Dw.n Qw.n4 0.1463 0.760 7.884 5045.511 7.88356444563 0.1463 0.932 17.375 9071.289 17.3751345812 0.146 0.934 23.905 12456.263 23.9054207371 0.160 0.729 27.653 22853.044 27.65294731

Tn Tn Tn/m TnDw.n : Rigidez de la Placa

MOMENTOS EN VIGAS QUE CONCURREN A LA PLACA :

Nivel Kv.n Mv.n PLACA N° 01Kv 2-1 Mv 2-1 Kv 2-3

3 2.135 44.42 0.4131 8.596 0.6622 2.135 47.19 0.4131 9.133 0.6621 2.135 36.12 0.4131 6.991 0.662

RIGIDES LATERAL :

NivelEje 1 Eje 2 Eje 3 Eje 4

K.lateral K.lateral K.lateral K.lateral ∑ KL3 486.606 9071.289 9071.289 520.173 19149.3562 486.606 12456.263 12456.263 520.173 25919.3061 602.259 22853.044 22853.044 630.757 46939.104

5045.511KL= 486.61

9071.289KL= 486.61

12456.263KL= 486.61

22853.044KL= 532.05

E = 2173706.51193G = 905711.046637

f = 1.2

a = 0.65 0.65b =

Kv =0.25 0.30

Ic = 0.0006

Kc = 0.2009

KV = 1.059 k = 7.0190

a = 0.7782

D = 0.1563

Kv =0.30 0.50

Ic = 0.0006

Kc = 0.2009

KV = 1.059 k = 7.0190

a = 0.7782

D = 0.1563

Kv =

Ic = 0.0006

Kc = 0.2009

KV = 1.059 k = 7.0190

a = 0.7782

D = 0.1563

Kv =0.25 0.30

Ic = 0.0006

Kc = 0.2009

KV = 1.059 k = 7.0190

a = 0.8337

D = 0.1675

L3 = 1.5PLACA N° 02 PLACA N° 03

e3 = 0.25

4.00 4.30

0.25 0.4 0.25 0.4

0.00133 m4 0.00133 m4

0.65 m 0.65 m 0.65 m

2.6 m 3.65 m

PLACA N° 02

K3 = 8639 K´2 = 13814

k4 = 5175 1.059

Qs18.50138.10251.169

57.702767331

V2-3(m) = V3-4 (m) =

IV2-3 = IV3-4 =

a 3-2 = a 3-4 =

b 3-4 =

KV2 =

Σ Dc60.0950 0.52600.0950 0.52600.0950 0.52600.1215 0.5954

Z.n B.n A.n Q Cn0.516 48.67 51.77 18.501 50.830.516 48.67 51.77 38.10 104.680.516 48.67 51.77 51.169 140.580.583 48.47 51.97 57.703 158.14

64.58 -48.67 0.00 0.00 φ4 50.83-48.67 116.35 -48.67 0.00 * φ3 = 155.510.00 -48.67 116.35 -48.67 φ2 245.270.00 0.00 -48.67 116.55 φ1 298.73

φ4 6.01φ3 = 6.94φ2 7.37φ1 5.64

Qc.n 3*Kv.n Mv.n2.734 6.404 38.523.352 6.404 44.423.358 6.404 47.192.397 6.404 36.12

ANALISIS SISMICOΔ.relativo Δ.absoluto Δ.real Δ.absoluto Distorcion0.00156 0.00661 0.0347 0.0840 0.00290.00192 0.00504 0.0265 0.0493 0.00360.00192 0.00313 0.0164 0.0228 0.00360.00121 0.00121 0.0064 0.0064 0.0023

Eje 3 Eje 4Dw.n Dc.n Qc.n Dc.n Qc.n Dc.n Qc.n

5045.5113719 0.1563 0.813 0.1284 0.667 0.0950 0.4949071.2886357 0.1563 0.996 0.1284 0.818 0.0950 0.605

12456.26347 0.1563 0.998 0.1284 0.820 0.0950 0.60722853.044265 0.1675 0.763 0.1465 0.668 0.1215 0.554

Tn/m Tn

PLACA N° 01 PLACA N° 02Mv 2-3 Kv 3-2 Mv 3-2 Kv 3-4 Mv 3-4

13.783 0.662 13.783 0.397 8.25614.644 0.662 14.644 0.397 8.77311.209 0.662 11.209 0.397 6.715

5045.511520.17 427.11 316.03

9071.289520.17 427.11 316.03

12456.263520.17 427.11 316.03

22853.044557.23 487.43 404.12

0.350877193 Kv = 0.360360360.25 0.30 0.25 0.30

Ic = 0.0006 Ic = 0.0006Kc = 0.201 Kc = 0.201k = 3.5 k = 1.79379379a = 0.6390 a = 0.4728

D = 0.1284 D = 0.0950

0.350877193 Kv = 0.36036036

Ic = 0.0006 Ic = 0.0006Kc = 0.201 Kc = 0.201k = 3.5 k = 1.79379379a = 0.6390 a = 0.4728

D = 0.1284 D = 0.0950

0.350877193 Kv = 0.36036036

Ic = 0.0006 Ic = 0.0006Kc = 0.201 Kc = 0.201k = 3.5 k = 1.79379379a = 0.6390 a = 0.4728

D = 0.1284 D = 0.0950

0.350877193 Kv = 0.36036036

Ic = 0.0006 Ic = 0.0006Kc = 0.2009 Kc = 0.2009

k = 3.5 k = 1.79379379a = 0.7293 a = 0.6046

D = 0.1465 D = 0.1215

3.80 3.70

Tn/cm

118.409

198.925

266.624

476.869

0.25 0.4

0.00133 m4

I.Placa N° 2 = 0.0703125 m4

I.Placa N° 3= 0.07031 m4

Calculo del "a" :0.650 m

Calculo del "b" :3.150 m

Calculo del "K" :

PLACA N° 01

K1 = 6429 K´1 = 13717

k2 = 7288 1.052


Nivel hi P.sism hi * Psism k Fs321

Z = 0.4U = 1.5 V = 57.70276733 TnS = 1.4

TP = 0.9T(ht/ct) = 0.00

ct = 45C = #DIV/0! 2.5R = 7

V1-2 (m) =

IV1-2 =

a 2-1 = a 2-3 =

b 1-2 = b 2-3 =

KV1 =

PLACA N° 01 PLACA N° 02 KwKw.4 25.112 25.112 50.223Kw.3 25.112 25.112 50.223Kw.2 25.112 25.112 50.223Kw.1 25.112 25.112 50.223

ECUACION DE OSAWA :


NivelEje - Dc

1 2 3 4 54 0.3509 0.1432 0 0 0.33993 0.3509 0.1432 0 0 0.33992 0.3509 0.1432 0 0 0.33991 0.4375 0.2818 0.4293

Nivel h.n Kw.n Σ Dc AW.n X.n4 2.8 50.223 0.9633 0.75 1.035

3 2.8 50.223 0.9633 0.75 1.0352 2.8 50.223 0.9633 0.75 1.0351 2.8 50.223 1.4200 0.75 1.052


Nivel 6*Kvn a.n b.n d.n4 12.362 65.3771 47.43 90.633 12.362 118.392 47.43 275.692 12.362 118.392 47.43 433.091 12.362 119.651 46.17 523.11

CORTANTES Y MOMENTOS ( para las placas ) :





NivelEje 1 Eje 2

Dc.n Qc.n Dc.n Qc.n Qw.n4 0.3509 2.781 0.1432 1.135 12.9343 0.3509 3.504 0.1432 1.430 29.3952 0.351 3.595 0.1432 1.467 40.9071 0.438 4.256 0.2818 2.741 46.974

Tn TnDw.n : Rigidez de la Placa


Nivel Kv.n Mv.n PLACA N° 01Kv 2-1 Mv 2-1 Kv 2-3

3 2.060 65.09 0.4929 15.572 0.5592 2.060 70.75 0.4929 16.926 0.5591 2.060 55.07 0.4929 13.175 0.559

RIGIDES LATERAL :

NivelEje 1 Eje 2 Eje 3 Eje 4

K.lateral K.lateral K.lateral K.lateral ∑ KL3 1167.430 9792.940 9792.940 1130.953 21884.2632 1167.430 13284.364 13284.364 1130.953 28867.1101 2145.979 23684.932 23684.932 2105.650 51621.492

5429.754KL= 1167.43 476.42

9792.940KL= 1167.43 476.42

13284.364KL= 1167.43 476.42

23684.932KL= 1455.77 937.51


Kv = 0.360360360.25 1.50 col =

Ic = 0.0020Kc = 0.698

2.8 k = 0.51661261a = 0.2053

D = 0.1432

Kv = 0.36036036col =

Ic = 0.0020Kc = 0.698

2.8 k = 0.51661261a = 0.2053

D = 0.1432

Kv = 0.36036036

Ic = 0.0020Kc = 0.698k = 0.51661261

2.8 a = 0.2053

D = 0.1432

Kv= 0.36036036col =

Ic = 0.0020Kc = 0.6975

2.8 k = 0.51661261a = 0.4040

D = 0.2818

3.70

0.25 0.4 0.25 0.4

0.00133 m4 0.00133 m4

0.65 m 0.65 m 0.65 m

2.9 m 3.35 m

PLACA N° 02

K3 = 7288 K´2 = 13154

k4 = 5866 1.009

Qs33.50168.41091.682

103.31853599

V2-3(m) = V3-4 (m) =

IV2-3 = IV3-4 =

a 3-2 = a 3-4 =

b 3-4 =

KV2 =

Σ Dc60.1293 0.96330.1293 0.96330.1293 0.96330.2714 1.4200

Z.n B.n A.n Q Cn0.931 47.43 53.02 33.501 90.630.931 47.43 53.02 68.41 185.060.931 47.43 53.02 91.682 248.021.350 46.17 54.27 103.319 275.09

65.38 -47.43 0.00 0.00 φ4 90.63-47.43 118.39 -47.43 0.00 * φ3 = 275.690.00 -47.43 118.39 -47.43 φ2 433.090.00 0.00 -47.43 119.65 φ1 523.11

φ4 9.03φ3 = 10.53φ2 11.45φ1 8.91

Qc.n 3*Kv.n Mv.n7.634 6.181 55.799.620 6.181 65.099.869 6.181 70.759.370 6.181 55.07


Eje 3 Eje 4Dw.n Qw.n Dw.n Dc.n Qc.n Dc.n Qc.n5429.754 12.9335822 5429.75445 0.3399 2.694 0.1293 1.0259792.940 29.3948535 9792.94017 0.3399 3.395 0.1293 1.291

13284.364 40.9065751 13284.3637 0.3399 3.483 0.1293 1.32523684.932 46.9741716 23684.9319 0.4293 4.176 0.2714 2.640Tn/m Tn Tn/m Tn

PLACA N° 01 PLACA N° 02Mv 2-3 Kv 3-2 Mv 3-2 Kv 3-4 Mv 3-4

17.653 0.559 17.653 0.450 14.20819.189 0.559 19.189 0.450 15.44414.936 0.559 14.936 0.450 12.021

5429.7541130.95 430.21

9792.9401130.95 430.21

13284.3641130.95 430.21

23684.9321428.41 902.86


ko= 0.001

a = 0.650 0.65b =

0.25 1.50

Ic = 0.0020

Kc = 0.6975

k = 2.0244 KV = 1.052

a = 0.5030

D = 0.3509

0.30 0.50

Ic = 0.0020

Kc = 0.6975

k = 2.0244 KV = 1.052

a = 0.5030

D = 0.3509

Ic = 0.0020

Kc = 0.6975

k = 2.0244 KV = 1.052

a = 0.5030

D = 0.3509

0.30 0.60

Ic = 0.0020

Kc = 0.6975

k = 2.0244 KV = 1.052

a = 0.6273

D = 0.4375

L 2= 1.5PLACA N° 02 PLACA N° 03

e2 = 0.25

3.80 4.30

Tn/cm

140.645

227.909

297.737

520.944

E = 2173706.512G = 905711.0466

f = 1.2

a = 0.65 0.65b =

Kv = 0.31746031750.25 1.50 0.25 1.50Ic = 0.0020 Ic = 0.0020Kc = 0.6975 Kc = 0.698

KV = 1.009 k = 1.9010 k = 0.5a = 0.4873 a = 0.1854

D = 0.3399 D = 0.1293

Kv = 0.31746031750.30 0.50

Ic = 0.0020 Ic = 0.0020Kc = 0.6975 Kc = 0.698

KV = 1.009 k = 1.9010 k = 0.5a = 0.4873 a = 0.1854

D = 0.3399 D = 0.1293

Kv = 0.3174603175

Ic = 0.0020 Ic = 0.0020Kc = 0.6975 Kc = 0.698

KV = 1.009 k = 1.9010 k = 0.5a = 0.4873 a = 0.1854

D = 0.3399 D = 0.1293

Kv = 0.31746031750.25 0.30

Ic = 0.0020 Ic = 0.0020Kc = 0.6975 Kc = 0.6975

KV = 1.009 k = 1.9010 k = 0.5a = 0.6155 a = 0.3890

D = 0.4293 D = 0.2714

L3 = 1.5PLACA N° 03

e3 = 0.25

4.204.00

ANÁLISIS ESTÁTICO EN LA DIRECCIÓN Y-Y

DETERMINACION DE LA FUERZA SÍSMICA

Área de influencia 100.000Área de Columnas 0

Area Placas 2.25Área de Vigas 9.825

AVxx = 5.88AVyy= 3.95

Peso de losa aligerada: 26.378 TnPeso del contrapiso: 7.331 TnPeso del enlucido: 7.500 TnPeso de tab. Repartida: 13.847 TnPeso de la cobertura: 10.000 TnPeso de vigas: 9.432 TnPeso de columnas:

Pc1-3 (he = 2.80) 0.000 TnPc4 (he=1.40) 0.000 Tn

Peso de tab. Perimetral:Ptp1-3 8.090 TnPtp 4 3.270 Tn

Peso de placa:P1-3 15.120 TnP4 7.560 Tn

Peso SobrecargaP. s/c 1-3 19.55 Tn

P. s/c 4 10.00 Tn

Nivel p.la P.contr P.enlu4 26.378 0 7.5003 26.378 7.331 7.5002 26.378 7.331 7.5001 26.378 7.331 7.500

E = 2173706.5119G = 905711.04664

f = 1.2ko= 0.001

a = 0.638

b = 3.063 Kv =0.25 0.3Ic = 0.0004

2.8 Kc = 0.1395KV = 0.725 k = 8.362

a = 0.807D = 0.113

Kv =

Ic = 0.0004

2.8 Kc = 0.1395KV = 0.725 k = 8.362

a = 0.807D = 0.113

Kv =

Ic = 0.0004

2.8 Kc = 0.1395KV = 0.725 k = 8.362

a = 0.807D = 0.113

Kv =

Ic = 0.0004

2.8 Kc = 0.1395KV = 0.725 k = 8.36193888338

a = 0.8552D = 0.1193

L 3= 1.5e3 = 0.25

PLACA N° 03

3.70 3.80

0.25 0.45

0.25 0.45

I.Placa N° 2 = 0.0703125 m4

Calculo del "a" :

0.638 mCalculo del "b" :

3.063 mCalculo del "K" :

PLACA N° 03

K1 = 9457 K´1 = 9457

0.725


Nivel hi P.sism hi * Psism k Fs4 11.2 66.640 746.367 0.324 33.5013 8.4 92.585 777.715 0.338 34.9092 5.6 92.585 518.476 0.225 23.2721 2.8 92.585 259.238 0.1126243298 11.636

344.395 2301.796 1.000Z = 0.4U = 1.5 V = 103.319 TnS = 1.4

TP = 0.9T(ht/ct) = 0.19

V1-2 (m) = IV1-2 =

V2-3(m) = IV2-3 =

a 2-1 =

b 1-2 =

KV1 =

1 2

ct = 45C = 12.054 2.5R = 7

PLACA N° 03 KwKw.4 25.112 25.112Kw.3 25.112 25.112Kw.2 25.112 25.112Kw.1 25.112 25.112

ECUACION DE OSAWA :


NivelEje - Dc

1 2 3 4 54 0 0.113 0.1069 0.1072 0.10663 0 0.113 0.1069 0.1072 0.10662 0 0.113 0.1069 0.1072 0.10661 0 0.119 0.1151 0.1153 0.1148

Nivel h.n Kw.n Σ Dc AW.n X.n4 2.8 25.112 0.5196 0.375 1.0383 2.8 25.112 0.5196 0.375 1.0382 2.8 25.112 0.5196 0.375 1.0381 2.8 25.112 0.5641 0.375 1.041


Nivel 6*Kvn a.n b.n d.n4 4.350 30.9640762367105 23.61 90.393 4.350 57.5777442251571 23.61 274.962 4.350 57.5777442251571 23.61 431.931 4.350 57.701266835768 23.49 525.25

30.96 -23.61 0.00 0.00-23.61 57.58 -23.61 0.000.00 -23.61 57.58 -23.610.00 0.00 -23.61 57.70

CORTANTES Y MOMENTOS ( para la placa ) :





Nivel Eje 1 Eje 2Qw.n Dw.n Dc.n

4 8.296 569.011 0.11263 39.689 2389.006 0.11262 64.423 4085.827 0.11261 87.979 10764.667 0.1193

Tn Tn Tn/m


Nivel Kv.n Mv.n PLACA N° 03Kv 2-1 Mv 2-1

4 0.73 291.77 0.7251 291.7683 0.725 319.07 0.7251 319.0672 0.725 290.97 0.7251 290.973

1 0.725 126.64 0.7251 126.642

RIGIDES LATERAL :

569.011KL=

2389.006KL=

4085.827KL=

10764.667KL=

PLACA N° 03

EJE A-A

Pla 300.00 kg/m2Pcon 75.00 kg/m2Pen 75.00 kg/m2Pcob 100.00 kg/m2

Ptbrep 141.66 kg/m2

S/C1= 200.000S/C2= 200.000S/C3= 200.000S/C4= 100.000

P.tab.rep P.cob P.vig P.col P.tab.perim P.placas P.CM0.000 10.000 9.432 0.000 3.270 7.560 64.140

13.847 0 9.432 0.000 8.090 15.120 87.69813.847 0 9.432 0.000 8.090 15.120 87.69813.847 0 9.432 0.000 8.090 15.120 87.698

0.441 Kv = 0.4746 Kv = 0.452 Kv = 0.452

Ic = 0.0004 Ic = 0.0004 Ic = 0.0004 Ic =Kc = 0.1395 Kc = 0.1395 Kc = 0.1395 Kc =

k = 6.567 k = 6.642 k = 6.480 k =a = 0.767 a = 0.769 a = 0.764 a =D = 0.107 D = 0.107 D = 0.107 D =

0.441 Kv = 0.4746 Kv = 0.452 Kv = 0.452


k = 6.567 k = 6.6420 k = 6.480 k =a = 0.767 a = 0.7686 a = 0.764 a =D = 0.107 D = 0.107 D = 0.107 D =

0.441 Kv = 0.4746 Kv = 0.452 Kv = 0.452


k = 6.567 k = 6.6420 k = 6.480 k =a = 0.767 a = 0.7686 a = 0.764 a =D = 0.1069 D = 0.1072 D = 0.107 D =

0.441 Kv = 0.4746 Kv = 0.452 Kv = 0.452


k = 6.567 k = 6.6420 k = 6.480 k =a = 0.8249 a = 0.8264 a = 0.8231 a =D = 0.11508 D = 0.1153 D = 0.1148 D =

4.30 4.00 4.2

0.00190 m4 0.25 0.45 0.00190

0.00190 m4 0.25 0.45 0.00190

Qs33.50168.41091.682

103.319

V3-4 (m) = IV3-4 =

V4-5(m) = IV4-5 =

3 4 5 6

Eje - DcΣ Dc

60.0863 0.5200.0863 0.5200.0863 0.5200.0996 0.564

Z.n B.n A.n Q Cn0.501 23.61 26.61 33.50 90.390.501 23.61 26.61 68.41 184.570.501 23.61 26.61 91.682 247.360.542 23.49 26.74 103.319 277.89

φ4 90.39* φ3 = 274.96

φ2 431.93φ1 525.25

φ4 21.00φ3 = 23.71φ2 25.18φ1 19.41

Qc.n 3*Kv.n Mv.n25.21 2.18 291.7728.72 2.175 319.0727.26 2.175 290.9715.34 2.175 126.64


Eje 2 Eje 3 Eje 4 Eje 5Qc.n Dc.n Qc.n Dc.n Qc.n Dc.n Qc.n

5.461 0.1069 5.187 0.1072 5.201 0.1066 5.1716.223 0.1069 5.911 0.1072 5.927 0.1066 5.8935.906 0.1069 5.610 0.1072 5.625 0.1066 5.5933.244 0.1151 3.129 0.1153 3.135 0.1148 3.123

Tn Tn Tn Tn

PLACA N° 03

374.571 355.796 356.741 354.689

374.571 355.796 356.741 354.689

374.571 355.796 356.741 354.689

396.968 382.887 383.596 382.057

P.CV

10.0019.5519.5519.55

0.00040.13953.2400.6180.086

0.00040.13953.2400.6180.086

0.00040.13953.2400.6180.086

0.00040.13953.24000.7137

0.0996

m4 0.25 0.45 0.00190 m4

m4 0.25 0.45 0.00190 m4

V5-6 (m) = IV5-6 =

V6-7 (m) = IV6-7 =

6

Eje 6Dc.n Qc.n

0.0863 4.1840.0863 4.7680.0863 4.5250.0996 2.708

Tn

Tn/cm

287.000 22.978

287.000 41.178

287.000 58.146

331.290 126.415

ESTRUCTURACION :

A B C

Vp Vp 6

4.2 Vs

5

4 Vs

20.00 4

4.3 Vs

3

3.8 Vs

2

3.7 Vs

1

5 52 2.5

10.0

Lmax - x = 5 Lmax - y = 4.3

Min (Lmax - x ; Lmax - y) 4.3 Max (Lmax - x ; Lmax - y) = 5

(Direccion de Losa Unidireccional) (Direccion de Vigas Principales)(Direccion de las Vigas Secundarias)

Descripcion:

Ubicación Chiclayo

# Pisos 4

Uso vivienda

h entrepiso 2.8

Predimensionamiento

Losa Alig Unidirecciona

Lxx = 4.3 m

h losa = 0.172 mh losa = 0.2 m W. losa = 300 kg/m2

Vigas Principales

Lyy = 5 mh vp = 0.42 m 0.45

b = 0.3 h = 0.130.5 h = 0.21

b.prom = 0.17b. min = 0.25 m

V.P 25x45

Vigas Secundarias

Lxx 5 mh. vs 0.36 m 0.4

b = 0.3 h = 0.110.5 h = 0.18

b.prom = 0.14

b. min = 0.25 mV.S 25x40

2.10 2.10

2.104.10

2.00

2.004.15

2.15

2.154.05

1.90

1.903.75

1.85

1.85 1.85

2.5 2.5 2.5 2.52.5 5 2.5

2

5 Columna : 25 X 25

bc 0.25 VP 25 x 45tc 0.25 VS 25 x 40

4.15Lxx 5 AT 20.750Lyy 4.15 Ac 0.063

Av-xx 1.188Av-yy 0.975

Av 2.163

Metrado

Cargas Muertas

Peso de Losa Aligerade = (0.20) Y la = 300 kg/m2

P la 5558 kgP la = 5.560 ton

Peso de VigasY C°A° = 2400 kg/m3

Pv-xx 1282.500 kgPv-yy 936.000 kg

Pv 2218.500 kgPv = 2.220 ton

Peso de ContrapisoY cont = 75 kg/m2

P cpiso 1551.563 kgP cont = 1.550 ton

Peso de enlucidoYenl = 75 kg/m2

P enlucido 1556.25 kgP enl = 1.560 ton

Peso de Tab. RepartidaA tech Total 182.6 m2

hmuro = 2.8 mYlad pand = 1350 kg/m3Espesor = 0.15 m

4 x L1 4.62 1 X L4 3.05 1 X L7 2.91 X L2 1.73 1 X L5 1.00 1 X L8 3.2

V.S V.S

Vp

Vp

C

L.A

L.A

L.A

L.A

2 X L3 3.63 1 X L6 2.85 1 X L9 2.71 X L10 2.45

Ln*Tn = 6.84P tab Rep = 25866.54Y tab Rep = 141.66 kg/m2

P tab rep 2930.53 KgP tab Rep = 2.931 ton

Peso de ColumnasY C°A° 2400 kg/m3

Pc.1-3 420 kgPc.4 210 kg

Pc.1-3= 0.42 tonPc.4 = 0.21 ton

Peso de CoberturaY cob 100 kg/m2

P cob 2075 kg

P cob 2.075 ton

Cargas Vivas

USO : Vivienda S/C 1 : 200 kg/m2S/C 2 : 200 kg/m2S/C 3 : 200 kg/m2S/C ulti: 100 kg/m2

4 100

3 200

2 200

1 200

1° - 3° Piso Peso de S/c = 4137.500 Kg 4.138 ton

4° Piso Peso de S/c = 2075 Kg 2.075 ton

Niveles P la P cont P enl P cob P Tab Rep Pv4 5.560 0.000 1.560 2.075 0 2.2203 5.560 1.550 1.560 0 2.931 2.2202 5.560 1.550 1.560 0 2.931 2.2201 5.560 1.550 1.560 0 2.931 2.220

Pcol Pmuerta Pviva Pserv P.ult0.21 11.625 2.075 13.700 19.8030.42 14.241 4.138 18.378 26.9700.42 14.241 4.138 18.378 26.970

0.42 14.241 4.138 18.378 26.97068.834 100.714

A)

Ac1 = Pservicio / (0.45 * fć)

fć = 210

Ac1 = 728.40 cm2

Si: b = 25t = 29

Col 25x30

B) Ac2 = C * Pu / ( 0.85 ( 0.85 * fć + p* fý /100 ) )

c = 1.3fć = 210p % 2fý = 4200

Ac2 = 586.7928153261 cm2

Si: b = 25t = 23.5

Col 25x25

C) PROMEDIO:

AC1.prom = 657.5978784452

Si: b = 25t = 26

Col 25x30b(m) 0.25h(m) 0.3

CALCULO DE LA FUERZA SISMICA DE UN SISTEMA APORTICADO:

AT.total 192.6 AV. x-x. 13.875

AC.total 1.35 AV. y-y. 13.65

# Colomna 18 AV. Total 27.525

Metrado CARGA MUERTA

Peso de Losa Aligerade = (0.20 m) Y la = 300 kg/m2

P la = 49118 kgP la = 49.120 ton


Pv-xx 14985.000 kgPv-yy 13104.000 kg

Pv = 28.090 ton




P enluc 14445 kgP enl = 14.450 ton

Peso de Tab RepartidaY tab Rep = 141.657 kg/m2



Pc. 1-3 9072 kgPc. 1-3 = 9.07 ton

Pc. 4 4536Pc. 4 = 4.54 ton


P cob 19260 kgP cob 19.26 ton

Peso de Tab Perimetrale muro 0.15

(1° - 3° ) P Tab Per(y-y) 17321.85 kg

(4°) P Tab Per(y-y) 7002.45 kg

(1° - 3°) P Tab Per(x-x) 8803.6875 kg

(4°) P Tab Per(x-x) 3558.9375 kg

(1° - 3° ) P.Tab Perim 26.13 Tn

(4°) P.Tab Perim 10.56 Tn

Cargas Vivas


4 100

3 200

2 200

1 200



Niveles P la P cont P enl P cob P Tab Rep4 49.120 0.000 14.450 19.260 0.0003 49.120 14.340 14.450 0.000 27.0902 49.120 14.340 14.450 0.000 27.0901 49.120 14.340 14.450 0.000 27.090

Pv Pcol P Tab Perim Pmuerta Pviva Psismo28.090 4.540 10.561 126.021 19.260 130.83628.090 9.070 26.126 168.286 38.250 177.84828.090 9.070 26.126 168.286 38.250 177.84828.090 9.070 26.126 168.286 38.250 177.848

664.381

Hi Psis * hi K F.sismica Qsismica11.200 1465.368 0.329 38.258 38.258

8.400 1493.924 0.335 39.004 77.2635.600 995.949 0.224 26.003 103.2652.800 497.975 0.112 13.001 116.267

4453.215

V = ZUSC*Psism/RZ 0.4

V 116.2665875 U 1S 1.4C 2.5R 8

CATEGORIA A Y B : Psimo = 100 % CM + 50% CV ----- Pisos Interiores

Psismo= 100% CM + 25% CV ----- Azoteas

CATEGORIA C : Psismo= 100%CM + 25% CV ------ Pisos Interiores y Azoteas

COMPROBANDO LA CUANTIA MINIMA:

ρ (tn/m) = Psism / AT.tot*#niveles ρ min 0.8 tn/mρ max 1 - 1.2 tn/m

ρ(tn/m) 0.86

38.258

39.004

26.003

13.001

Placas

An = V Vc(kg/cm2) 08 - 10.Vc

Asumiendo:Vc = 8

An= 16609.5125 cm2 R = 7

V = 132.88 ton

Acol = 13500 cm2

Amuro = 3109.5125 cm2

Asumiendo : bm = 25 cmLm = 124.3805 cm

ancho = 0.25 mLong = 1.24 mLong = 1.5 m

DISTRIBUCION DE LA SECCION DE LA PLACA :

0.0005625 0.001953125 0.07031256 0.00039062 0.07031250 0.00195313

4.20.0005625 0.0005625 0.0005625

5 0.00039062 0.00039062 0.00039062

4.000.0005625 0.0005625 0.0005625

4 0.00039062 0.00039062 0.00039062

20.00 4.300.0005625 0.0005625 0.0005625

3 0.000390625 0.00039062 0.00039062

3.800.0005625 0.0005625 0.0005625

2 0.00039062 0.00039062 0.00039062

3.700.0703125 3.4 0.001953125 0.0005625

1 0.00195313 0.07031250 0.00039062

5 510

2 2.5A B C

∑ Ix (m4)eje 1 eje2 eje3 eje4 eje5 eje6

0.07265625 0.00117188 0.00117188 0.00117188 0.00117188 0.07265625

∑ Iy (m4)eje A eje B eje C0.073125 0.00615625 0.073125

L placa X = 1.5 L placa Y = 1.5

Asumiendo el CG como el CM:

A Y A*YA1 200 10 2000 Xr = 5.00A2 10 2 20A3 7.1 3.55 25.205 cg x = 5.29

182.9 1954.795

A X A*X Y´r = 10.28A1 200 5 1000A2 10 2.5 25 cg y = 10.69A3 7.1 1 8.1

182.9 966.9

CALCULO DE LA FUERZA SISMICA DE UN SISTEMA DUAL:

# Colomnas 10AT.total 192.6 AV.total x-x 12.625AC.total 0.75 AV.total y-y 12.5A.placas 3 AV.toTal 25.125

Metrado

Cargas Muertas

Peso de Losa Aligeradae = (0,20 m) Y la = 300 kg/m2

P la = 49118 kgP la = 49.120 ton


Pv-xx 13635.000 kgPv-yy 12000.000 kg

Pv = 25.640 ton




P enluc 14445 kgP enl = 14.450 ton

Peso de Tabiqueria RepartidaY tab Rep = 141.657 kg/m2



Pc. 1-3 5040 kgPc. 1-3 = 5.04 ton

Pc. 4 2520Pc. 4 = 2.52 ton


P cob 19260 kg

P cob 19.26 ton

Peso de Tab Perimetral e muro 0.15

(1° - 3° ) P Tab Per(y-y) 16179.75 kg

(4°) P Tab Per(y-y) 6540.75 kg

(1° - 3°) P Tab Per(x-x) 7614 kg

(4°) P Tab Per(x-x) 3078 kg

(1° - 3° ) P.Tab Perim 23.79375 Tn

(4°) P.Tab Perim 9.61875 Tn

Cargas Viva


4 100

3 200

2 200

1 200



Peso De Placa o MuroY C°A° 2400 kg/m3

P.placa 1-3 20160P.placa 1-3 20.16 ton

P.placa 4 10080P.placa 4 10.08 ton

Nivel Pla Pcon Pen Ptr Pcob Pvigas4 49.120 0 14.450 0 19.26 25.6403 49.120 14.160 14.450 26.750 0 25.6402 49.120 14.160 14.450 26.750 0 25.6401 49.120 14.160 14.450 26.750 0 25.640

Pcol Ptp Pmuro P.CM P.CV Psismo2.52 9.61875 10.08 130.689 18.885 135.415.04 23.79375 20.16 179.114 37.770 188.556255.04 23.79375 20.16 179.114 37.770 188.556255.04 23.79375 20.16 179.114 37.770 188.55625

701.07875

hi psismo*hi k Fs Qs11.2 1516.592 0.323758089992 45.396 45.396

8.4 1583.8725 0.338120955004 47.410 92.8065.6 1055.915 0.225413970003 31.607 124.4122.8 527.9575 0.112706985001 15.803 140.216

4684.337 1

V = ZUSC*(SumSis)/RZ 0.4

V 140.21575 U 1S 1.4C 2.5R 7

CATEGORIA A Y B : Psimo = 100 % CM + 50% CV ----- Pisos Interiores

Psismo= 100% CM + 25% CV ----- Azoteas

CATEGORIA C : Psismo= 100%CM + 25% CV ------ Pisos Interiores y Azoteas

COMPROBANDO LA CUANTIA MINIMA:

ρ (tn/m) = Psism / AT.tot * #niveles ρ min 0.8 tn/mρ max 1 - 1.2 tn/m

ρ ( tn / m) 0.91

45.396

47.410

31.607

15.803

CENTRO DE MASA DE SISTEMA APORTICADOPRIMER NIVEL

COLUMNAS LOSA

Nom Eje DIMENSIONES COORDENADAS COORDENADASx (m) y (m) x (m) y (m) x (m) y (m)

C - 011-1

0.25 0.3 0.125 0.15 0 0P -02 0.25 0.3 5 0.15 0 20C - 03 0.25 0.3 9.88 0.15 10 20C - 04

2-20.25 0.3 0.125 3.70 10 0

P - 05 0.25 1.5 5 3.70 2.15 0C - 06 0.25 1.5 9.88 3.70 2.15 3.55P - 07

3-30.25 1.5 0.125 7.50 0 3.55

C - 08 0.25 1.5 5 7.50 0 0C - 09 0.25 1.5 9.88 7.50C - 10

4-40.25 0.3 0.125 11.80

P -11 0.25 1.5 5 11.80P - 12 0.25 1.5 9.88 11.80P - 13

5-50.25 1.5 0.125 15.80

P - 14 0.25 1.5 5 15.80P - 15 0.25 1.5 9.88 15.80C - 16

6-60.25 0.3 0.125 19.85

P - 02 0.25 1.5 5 19.85C - 01 0.25 0.3 9.88 19.85

Area de Columnas: 1.05 m2Area de Vigas: 25.13 m2

SEGUNDO NIVEL

COLUMNAS LOSA


P - 011-1

0.25 1.5 0.125 0.15 0 0P -02 0.25 1.5 5 0.15 0 20C - 03 0.25 0.3 9.88 0.15 10 20C - 04

2-20.25 0.3 0.125 3.70 10 0

C - 05 0.25 0.3 5 3.70 2.15 0C - 06 0.25 0.3 9.88 3.70 2.15 3.55C - 07

3-30.25 0.3 0.125 7.50 0 3.55

C - 08 0.25 0.3 5 7.50 0 0C - 09 0.25 0.3 9.88 7.50C - 10

4-40.25 0.3 0.125 11.80

C - 11 0.25 0.3 5 11.80C - 12 0.25 0.3 9.88 11.80C - 13

5-50.25 0.3 0.125 15.80

C - 14 0.25 0.3 5 15.80C - 15 0.25 0.3 9.88 15.80C - 16

6-60.25 0.3 0.125 19.85

P - 02 0.25 1.5 5 19.85P - 01 0.25 1.5 9.88 19.85


TERCER NIVEL

COLUMNAS

|

LOSA


P - 01 1-1 0.25 1.5 0.125 0.15 0 0P -02 0.25 1.5 5 0.15 0 20C - 03 0.25 0.3 9.88 0.15 10 20C - 04 2-2 0.25 0.3 0.125 3.70 10 0C - 05 0.25 0.3 5 3.70 2.15 0C - 06 0.25 0.3 9.88 3.70 2.15 3.55C - 07 3-3 0.25 0.3 0.125 7.50 0 3.55C - 08 0.25 0.3 5 7.50 0 0C - 09 0.25 0.3 9.88 7.50C - 10 4-4 0.25 0.3 0.125 11.80C - 11 0.25 0.3 5 11.80C - 12 0.25 0.3 9.88 11.80C - 13 5-5 0.25 0.3 0.125 15.80C - 14 0.25 0.3 5 15.80C - 15 0.25 0.3 9.88 15.80C - 16 6-6 0.25 0.3 0.125 19.85P - 02 0.25 1.5 5 19.85P - 01 0.25 1.5 9.88 19.85

Area de Columnas: 1.05 m2

Area de Vigas: 25.13 m2

CUARTO NIVEL

COLUMNAS LOSA Nom Eje DIMENSIONES COORDENADAS COORDENADAS

x (m) y (m) x (m) y (m) x (m) y (m)P - 01 1-1 0.25 1.5 0.125 0.15 0 0P -02 0.25 1.5 5 0.15 0 20C - 03 0.25 0.3 9.88 0.15 10 20C - 04 2-2 0.25 0.3 0.125 3.70 10 0C - 05 0.25 0.3 5 3.70 2.15 0C - 06 0.25 0.3 9.88 3.70 2.15 3.55C - 07 3-3 0.25 0.3 0.125 7.50 0 3.55C - 08 0.25 0.3 5 7.50 0 0C - 09 0.25 0.3 9.88 7.50C - 10 4-4 0.25 0.3 0.125 11.80C - 11 0.25 0.3 5 11.80C - 12 0.25 0.3 9.88 11.80C - 13 5-5 0.25 0.3 0.125 15.80C - 14 0.25 0.3 5 15.80C - 15 0.25 0.3 9.88 15.80C - 16 6-6 0.25 0.3 0.125 19.85P - 02 0.25 1.5 5 19.85P - 01 0.25 1.5 9.88 19.85


DETERMINACIÓN DE LAS PROPIEDADES GEOMETRICAS:PRIMER NIVEL

Pto existe ∆x ∆y Ʃx Ʃy A Ax Ay Ix Iy1 1 0 20 0 20 0 0 0 0 02 1 10 0 10 40 0 0 -2000 -26666.66667 -166666.6666673 1 0 -20 20 20 -200 -1000 0 0 04 1 -7.85 0 12.15 0 0 0 0 0 05 1 0 3.55 4.3 3.55 7.6325 8.2049375 0 0 06 1 -2.15 0 2.15 7.1 0 0 13.5476875 32.062860417 11.220166563157 1 0 -3.55 0 3.55 0 0 0 0 08 0 0 0 0 0 0 0 0 0 09 0 0 0 0 0 0 0 0 0 0

10 0 0 0 0 0 0 0 0 0 011 0 0 0 0 0 0 0 0 0 0

12 0 0 0 0 0 0 0 0 0 0

Σ = 192.3675 991.7950625 1986.4523125 26634.60380625 166655.446500104

CALCULO DEL CENTRO GEOMETRICO :

Xg = 5.16 m Yg = 10.33 m

SEGUNDO NIVEL


10 1 0 0 0 0 0 0 0 0 011 1 0 0 0 0 0 0 0 0 0

12 1 0 0 0 0 0 0 0 0 0

Σ = 192.3675 991.7950625 1986.4523125 26634.60380625 166655.446500104


Xg = 5.16 m Yg = 10.33 m

TERCER NIVEL


10 1 0 0 0 0 0 0 0 0 011 1 0 0 0 0 0 0 0 0 0

12 1 0 0 0 0 0 0 0 0 0

Σ = 192.3675 991.7950625 1986.4523125 26634.60380625 166655.446500104


Xg = 5.16 m Yg = 10.33 m

CUARTO NIVEL


10 1 0 0 0 0 0 0 0 0 011 1 0 0 0 0 0 0 0 0 0

12 1 0 0 0 0 0 0 0 0 0

Σ = 192.3675 991.7950625 1986.4523125 26634.60380625 166655.446500104


Xg = 5.16 m Yg = 10.33 m

Cargas :

Carga Muerta1 nivel 2 nivel 3 nivel 4 nivel Kg/m2

Peso de Losa Aligerada 300 Kg/m2

591.66 591.66 591.66 475.00

Peso de Contrapiso 75 Kg/m2

Peso de Enlucido 75 Kg/m2

Peso de Tabiqueria Repartida 141.7 Kg/m2

Peso de Cobertura 100 Kg/m2

Peso Especifico de Concreto Armado 2400 kg/m3

Peso Especifico de Concreto Simple 2000 kg/m3

Peso Especifico de Albañileria 1350 kg/m3

Espesor del muro 0.15 m

Carga VivaSobrecarga 200 Kg/m2 200 200 200 100 Kg/m2

Sobrecarga 100 Kg/m2

k= 0.25 Azoteask= 0.25 Pisos tipicos

CALCULO DEL X col , Y col :

COLUMNAS Y PLACAS - Primer NivelNom Eje Dimensiones P P*x P*Y Ix Iy Kcx Kcy

x (m) y (m) (kg) (cm4) (cm4) (cm3) (cm3)C - 01

1-10.25 0.3 504.0 63.00 75.60 39062.5 56250 139.508928571 200.8928571

P -02 0.25 1.5 2520.0 12600.00 378.00 39062.5 7031250 139.508928571 25111.60714C - 03 0.25 0.3 504.0 4979.52 75.60 39062.5 56250 139.508928571 200.8928571C - 04

2-20.25 0.3 504.0 63.00 1864.80 39062.5 56250 139.508928571 200.8928571

P - 05 0.25 1.5 2520.0 12600.00 9324.00 39062.5 7031250 139.508928571 25111.60714C - 06 0.25 0.3 504.0 4979.52 1864.80 39062.5 56250 139.508928571 200.8928571P - 07

3-30.25 1.5 2520.0 315.00 18900.00 39062.5 7031250 139.508928571 25111.60714

C - 08 0.25 0.3 504.0 2520.00 3780.00 39062.5 56250 139.508928571 200.8928571C - 09 0.25 0.3 504.0 4979.52 3780.00 39062.5 56250 139.508928571 200.8928571C - 10

4-40.25 0.3 504.0 63.00 5947.20 39062.5 56250 139.508928571 200.8928571

C - 11 0.25 0.3 504.0 2520.00 5947.20 39062.5 56250 139.508928571 200.8928571P - 12 0.25 1.5 2520.0 24897.60 29736.00 39062.5 7031250 139.508928571 25111.60714P - 13

5-50.25 1.5 2520.0 315.00 39816.00 39062.5 7031250 139.508928571 25111.60714

P - 14 0.25 1.5 2520.0 12600.00 39816.00 39062.5 7031250 139.508928571 25111.60714P - 15 0.25 1.5 2520.0 24897.60 39816.00 39062.5 7031250 139.508928571 25111.60714C - 16

6-60.25 0.3 504.0 63.00 10004.40 39062.5 56250 139.508928571 200.8928571

P - 02 0.25 1.5 2520.0 12600.00 50022.00 39062.5 7031250 139.508928571 25111.60714C - 01 0.25 0.3 504.0 4979.52 10004.40 39062.5 56250 139.508928571 200.8928571

Σ = 25200.0 126035.28 271152.00

Xg = 5.00Yg = 10.76

COLUMNAS Y PLACAS- Segundo NivelNom Eje Dimensiones P P*x P*Y Ix Iy Kcx Kcy


1-10.25 0.3 504.0 63.00 75.60 39062.5 56250 139.508928571 200.8928571

P -02 0.25 1.5 2520.0 12600.00 378.00 39062.5 7031250 139.508928571 25111.60714C - 03 0.25 0.3 504.0 4979.52 75.60 39062.5 56250 139.508928571 200.8928571C - 04

2-20.25 0.3 504.0 63.00 1864.80 39062.5 56250 139.508928571 200.8928571

P - 05 0.25 1.5 2520.0 12600.00 9324.00 39062.5 7031250 139.508928571 25111.60714C - 06 0.25 0.3 504.0 4979.52 1864.80 39062.5 56250 139.508928571 200.8928571P - 07

3-30.25 1.5 2520.0 315.00 18900.00 39062.5 7031250 139.508928571 25111.60714

C - 08 0.25 0.3 504.0 2520.00 3780.00 39062.5 56250 139.508928571 200.8928571C - 09 0.25 0.3 504.0 4979.52 3780.00 39062.5 56250 139.508928571 200.8928571C - 10

4-40.25 0.3 504.0 63.00 5947.20 39062.5 56250 139.508928571 200.8928571

C - 11 0.25 0.3 504.0 2520.00 5947.20 39062.5 56250 139.508928571 200.8928571P - 12 0.25 1.5 2520.0 24897.60 29736.00 39062.5 7031250 139.508928571 25111.60714P - 13

5-50.25 1.5 2520.0 315.00 39816.00 39062.5 7031250 139.508928571 25111.60714

P - 14 0.25 1.5 2520.0 12600.00 39816.00 39062.5 7031250 139.508928571 25111.60714P - 15 0.25 1.5 2520.0 24897.60 39816.00 39062.5 7031250 139.508928571 25111.60714C - 16

6-60.25 0.3 504.0 63.00 10004.40 39062.5 56250 139.508928571 200.8928571

P - 02 0.25 1.5 2520.0 12600.00 50022.00 39062.5 7031250 139.508928571 25111.60714C - 01 0.25 0.3 504.0 4979.52 10004.40 39062.5 56250 139.508928571 200.8928571

Σ = 25200.0 126035.28 271152.00

Xg = 5.00Yg = 10.76

COLUMNAS Y PLACAS - Tercer NivelNom Eje Dimensiones P P*x P*Y Ix Iy Kcx Kcy


1-10.25 0.3 504.0 63.00 75.60 39062.5 56250 139.508928571 200.8928571

P -02 0.25 1.5 2520.0 12600.00 378.00 39062.5 7031250 139.508928571 25111.60714C - 03 0.25 0.3 504.0 4979.52 75.60 39062.5 56250 139.508928571 200.8928571C - 04

2-20.25 0.3 504.0 63.00 1864.80 39062.5 56250 139.508928571 200.8928571

P - 05 0.25 1.5 2520.0 12600.00 9324.00 39062.5 7031250 139.508928571 25111.60714C - 06 0.25 0.3 504.0 4979.52 1864.80 39062.5 56250 139.508928571 200.8928571

P - 073-3

0.25 1.5 2520.0 315.00 18900.00 39062.5 7031250 139.508928571 25111.60714C - 08 0.25 0.3 504.0 2520.00 3780.00 39062.5 56250 139.508928571 200.8928571C - 09 0.25 0.3 504.0 4979.52 3780.00 39062.5 56250 139.508928571 200.8928571C - 10

4-40.25 0.3 504.0 63.00 5947.20 39062.5 56250 139.508928571 200.8928571

C - 11 0.25 0.3 504.0 2520.00 5947.20 39062.5 56250 139.508928571 200.8928571P - 12 0.25 1.5 2520.0 24897.60 29736.00 39062.5 7031250 139.508928571 25111.60714P - 13

5-50.25 1.5 2520.0 315.00 39816.00 39062.5 7031250 139.508928571 25111.60714

P - 14 0.25 1.5 2520.0 12600.00 39816.00 39062.5 7031250 139.508928571 25111.60714P - 15 0.25 1.5 2520.0 24897.60 39816.00 39062.5 7031250 139.508928571 25111.60714C - 16

6-60.25 0.3 504.0 63.00 10004.40 39062.5 56250 139.508928571 200.8928571

P - 02 0.25 1.5 2520.0 12600.00 50022.00 39062.5 7031250 139.508928571 25111.60714C - 01 0.25 0.3 504.0 4979.52 10004.40 39062.5 56250 139.508928571 200.8928571

Σ = 25200.0 126035.28 271152.00

Xg = 5.00Yg = 10.76

COLUMNAS Y PLACAS - Cuarto NivelNom Eje Dimensiones P P*x P*Y Ix Iy Kcx Kcy


1-10.25 0.3 252.0 31.50 37.80 56250 39062.5 200.892857143 139.5089286

P -02 0.25 1.5 1260.0 6300.00 189.00 7031250 195312.5 200.892857143 139.5089286C - 03 0.25 0.3 252.0 2489.76 37.80 56250 39062.5 200.892857143 139.5089286C - 04

2-20.25 0.3 252.0 31.50 932.40 56250 39062.5 200.892857143 139.5089286

P - 05 0.25 1.5 1260.0 6300.00 4662.00 7031250 195312.5 200.892857143 139.5089286C - 06 0.25 0.3 252.0 2489.76 932.40 56250 39062.5 200.892857143 139.5089286P - 07

3-30.25 1.5 1260.0 157.50 9450.00 7031250 195312.5 200.892857143 139.5089286

C - 08 0.25 0.3 252.0 1260.00 1890.00 56250 39062.5 200.892857143 139.5089286C - 09 0.25 0.3 252.0 2489.76 1890.00 56250 39062.5 200.892857143 139.5089286C - 10

4-40.25 0.3 252.0 31.50 2973.60 56250 39062.5 200.892857143 139.5089286

C - 11 0.25 0.3 252.0 1260.00 2973.60 56250 39062.5 200.892857143 139.5089286P - 12 0.25 1.5 1260.0 12448.80 14868.00 7031250 195312.5 200.892857143 139.5089286P - 13

5-50.25 1.5 1260.0 157.50 19908.00 7031250 195312.5 200.892857143 139.5089286

P - 14 0.25 1.5 1260.0 6300.00 19908.00 7031250 195312.5 200.892857143 139.5089286P - 15 0.25 1.5 1260.0 12448.80 19908.00 7031250 195312.5 200.892857143 139.5089286C - 16

6-60.25 0.3 252.0 31.50 5002.20 56250 39062.5 200.892857143 139.5089286

P - 02 0.25 1.5 1260.0 6300.00 25011.00 7031250 195312.5 200.892857143 139.5089286C - 01 0.25 0.3 252.0 2489.76 5002.20 56250 39062.5 200.892857143 139.5089286

Σ = 12600.0 63017.64 135576.00Xg = 5.00Yg = 10.76

Datos:

V x = 0.25 0.4 V y = 0.25 0.55 Pm = 1350 h tip = 2.8

Dimension y Ubicación de los muros de Tabiqueria Perimetral - Primer NivelNom Espesor P inicial P final L α P x y P*x P*y

(m) x(m) y(m) x(m) y(m) (m) (kg) (m) (m)

muro1 0.15 0.125 0.30 0.125 3.55 3.25 90 1480.78 0.13 1.92 185.10 2850.50muro2 0.15 0.125 3.85 0.125 7.35 3.50 90 1594.69 0.13 5.60 199.34 8930.25muro3 0.15 0.125 7.35 0.125 11.65 4.30 90 1959.19 0.13 9.50 244.90 18612.28muro4 0.15 0.125 11.95 0.125 15.65 3.70 90 1685.81 0.13 13.80 210.73 23264.21muro5 0.15 0.125 15.95 0.125 19.7 3.75 90 1708.59 0.13 17.83 213.57 30455.68muro6 0.15 0.25 19.85 4.88 19.85 4.63 0 2250.18 2.57 19.85 5771.71 44666.07muro7 0.15 5.13 19.85 9.75 19.85 4.62 0 2245.32 7.44 19.85 16705.18 44569.60muro8 0.15 9.85 15.95 9.85 19.7 3.75 90 1708.59 9.85 17.83 16829.65 30455.68muro9 0.15 9.85 11.95 9.85 15.65 3.70 90 1685.81 9.85 13.80 16605.25 23264.21

muro10 0.15 9.85 7.35 9.85 11.65 4.30 90 1959.19 9.85 9.50 19298.00 18612.28muro11 0.15 9.85 3.85 9.85 7.35 3.50 90 1594.69 9.85 5.60 15707.67 8930.25muro12 0.15 9.85 0.30 9.85 3.55 3.25 90 1480.78 9.85 1.92 14585.70 2850.50muro13 0.15 5.13 0.15 9.75 0.15 4.62 0 2245.32 7.44 0.15 16705.18 336.80muro14 0.15 0.25 0.15 4.88 0.15 4.63 0 2250.18 2.57 0.15 5771.71 337.53

Σ = 25849.13 69.89 137.30 129033.7 258135.86Xg = 5.0Yg = 9.99


(m) x(m) y(m) x(m) y(m) (m) (kg) (m) (m)



Σ = 25849.13 69.89 137.30 129033.7 258135.86Xg = 5.0Yg = 9.99


(m) x(m) y(m) x(m) y(m) (m) (kg) (m) (m)



Σ = 25849.13 69.89 137.30 129033.7 258135.86Xg = 5.0Yg = 9.99


(m) x(m) y(m) x(m) y(m) (m) (kg) (m) (m)


muro6 0.15 0.25 19.85 4.88 19.85 4.63 0 2250.18 2.57 19.85 5771.71 44666.07muro7 0.15 5.13 19.85 9.75 19.85 4.62 0 2245.32 7.44 19.85 16705.18 44569.60muro8 0.15 9.85 15.95 9.85 19.7 3.75 90 1708.59 9.85 17.83 16829.65 30455.68muro9 0.15 9.85 11.95 9.85 15.65 3.70 90 1685.81 9.85 13.80 16605.25 23264.21


Σ = 25849.13 69.89 137.30 129033.7 258135.86Xg = 5.0Yg = 9.99

DIRECCION X -X

VIGAS ( PRIMER NIVEL )VIGAS PRINCIPALES

Eje Viga Dimensiones P(kg) Y P*y

b L h

1-1 A-B 0.25 3.88 0.45 1047.60 0.150 157.14

B-C 0.25 3.88 0.45 1047.60 0.150 157.14

2-2 A-B 0.25 3.88 0.45 1047.60 3.700 3876.12

B-C 0.25 3.88 0.45 1047.60 3.700 3876.12

3-3 A-B 0.25 3.88 0.45 1047.60 7.500 7857

B-C 0.25 3.88 0.45 1047.60 7.500 7857

4-4 A-B 0.25 3.88 0.45 1047.60 11.800 12361.68

B-C 0.25 3.88 0.45 1047.60 11.800 12361.68

5-5 A-B 0.25 3.88 0.45 1047.60 15.800 16552.08

B-C 0.25 3.88 0.45 1047.60 15.800 16552.08

6-6 A-B 0.25 3.88 0.45 1047.60 19.850 20794.86

B-C 0.25 3.88 0.45 1047.60 19.8500 20794.86

Σ = 12571.20 123197.76

Yg = 9.80

VIGAS ( SEGUNDO NIVEL )VIGAS PRINCIPALES


b L h

1-1 A-B 0.25 3.88 0.45 1047.60 0.150 157.14

B-C 0.25 3.88 0.45 1047.60 0.150 157.14

2-2 A-B 0.25 3.88 0.45 1047.60 3.700 3876.12

B-C 0.25 3.88 0.45 1047.60 3.700 3876.12

3-3 A-B 0.25 3.88 0.45 1047.60 7.500 7857

B-C 0.25 3.88 0.45 1047.60 7.500 7857

4-4 A-B 0.25 3.88 0.45 1047.60 11.800 12361.68

B-C 0.25 3.88 0.45 1047.60 11.800 12361.68

5-5 A-B 0.25 3.88 0.45 1047.60 15.800 16552.08

B-C 0.25 3.88 0.45 1047.60 15.800 16552.08

6-6 A-B 0.25 3.88 0.45 1047.60 19.850 20794.86

B-C 0.25 3.88 0.45 1047.60 19.8500 20794.86

Σ = 12571.20 123197.76

Yg = 9.80

VIGAS ( TERCER NIVEL )VIGAS PRINCIPALES


b L h

1-1 A-B 0.25 3.88 0.45 1047.60 0.150 157.14

B-C 0.25 3.88 0.45 1047.60 0.150 157.14

2-2 A-B 0.25 3.88 0.45 1047.60 3.700 3876.12

B-C 0.25 3.88 0.45 1047.60 3.700 3876.12

D557

OSITO:

3-3 A-B 0.25 3.88 0.45 1047.60 7.500 7857

B-C 0.25 3.88 0.45 1047.60 7.500 7857

4-4 A-B 0.25 3.88 0.45 1047.60 11.800 12361.68

B-C 0.25 3.88 0.45 1047.60 11.800 12361.68

5-5 A-B 0.25 3.88 0.45 1047.60 15.800 16552.08

B-C 0.25 3.88 0.45 1047.60 15.800 16552.08

6-6 A-B 0.25 3.88 0.45 1047.60 19.850 20794.86

B-C 0.25 3.88 0.45 1047.60 19.8500 20794.86

Σ = 12571.20 123197.76

Yg = 9.80

VIGAS ( CUARTO NIVEL )VIGAS PRINCIPALES


b L h

1-1 A-B 0.25 3.88 0.45 1047.60 0.150 157.14

B-C 0.25 3.88 0.45 1047.60 0.150 157.14

2-2 A-B 0.25 3.88 0.45 1047.60 3.700 3876.12

B-C 0.25 3.88 0.45 1047.60 3.700 3876.12

3-3 A-B 0.25 3.88 0.45 1047.60 7.500 7857

B-C 0.25 3.88 0.45 1047.60 7.500 7857

4-4 A-B 0.25 3.88 0.45 1047.60 11.800 12361.68

B-C 0.25 3.88 0.45 1047.60 11.800 12361.68

5-5 A-B 0.25 3.88 0.45 1047.60 15.800 16552.08

B-C 0.25 3.88 0.45 1047.60 15.800 16552.08

6-6 A-B 0.25 3.88 0.45 1047.60 19.850 20794.86

B-C 0.25 3.88 0.45 1047.60 19.8500 20794.86

Σ = 12571.20 123197.76

Yg = 9.80

DIRECCION Y-Y

VIGAS ( PRIMER NIVEL )VIGAS SECUNDARIAS

Eje Viga Dimensiones P(kg) x P*xb L h

A-A 1-2. 0.25 2.05 0.40 492.00 0.125 61.5

2-3. 0.25 3.50 0.40 840.00 0.125 105

3-4. 0.25 4.30 0.40 1032.00 0.125 129

4-5. 0.25 3.70 0.40 888.00 0.125 111

5-6. 0.25 3.75 0.40 900.00 0.125 112.5B-B 1-2. 0.25 3.25 0.40 780.00 5 3900

2-3. 0.25 3.50 0.40 840.00 5 4200

3-4. 0.25 4.30 0.40 1032.00 5 5160

4-5. 0.25 3.70 0.40 888.00 5 4440

5-6. 0.25 3.75 0.40 900.00 5 4500

C-C 1-2. 0.25 3.25 0.40 780.00 9.88 7706.4

2-3. 0.25 3.50 0.40 840.00 9.88 8299.2

3-4. 0.25 4.30 0.40 1032.00 9.88 10196.16

4-5. 0.25 3.70 0.40 888.00 9.88 8773.44

5-6. 0.25 2.05 0.40 492.00 9.88 4860.96

Σ = 12624.00 62555.16

Xg = 5.0

VIGAS ( SEGUNDO NIVEL )VIGAS SECUNDARIAS


A-A 1-2. 0.25 2.05 0.40 492.00 0.125 61.5

2-3. 0.25 3.50 0.40 840.00 0.125 105

3-4. 0.25 4.30 0.40 1032.00 0.125 129

4-5. 0.25 3.70 0.40 888.00 0.125 111

5-6. 0.25 3.75 0.40 900.00 0.125 112.5B-B 1-2. 0.25 3.25 0.40 780.00 5 3900

2-3. 0.25 3.50 0.40 840.00 5 4200

3-4. 0.25 4.30 0.40 1032.00 5 5160

4-5. 0.25 3.70 0.40 888.00 5 4440

5-6. 0.25 3.75 0.40 900.00 5 4500

C-C 1-2. 0.25 3.25 0.40 780.00 9.88 7706.4

2-3. 0.25 3.50 0.40 840.00 9.88 8299.2

3-4. 0.25 4.30 0.40 1032.00 9.88 10196.16

4-5. 0.25 3.70 0.40 888.00 9.88 8773.44

5-6. 0.25 2.05 0.40 492.00 9.88 4860.96

Σ = 12624.00 62555.16

Xg = 5.0

VIGAS ( TERCER NIVEL )VIGAS SECUNDARIAS


A-A 1-2. 0.25 2.05 0.40 492.00 0.125 61.5

2-3. 0.25 3.50 0.40 840.00 0.125 105

3-4. 0.25 4.30 0.40 1032.00 0.125 129

4-5. 0.25 3.70 0.40 888.00 0.125 111

5-6. 0.25 3.75 0.40 900.00 0.125 112.5B-B 1-2. 0.25 3.25 0.40 780.00 5 3900

2-3. 0.25 3.50 0.40 840.00 5 4200

3-4. 0.25 4.30 0.40 1032.00 5 5160

4-5. 0.25 3.70 0.40 888.00 5 4440

5-6. 0.25 3.75 0.40 900.00 5 4500

C-C 1-2. 0.25 3.75 0.40 900.00 9.88 8892

2-3. 0.25 3.50 0.40 840.00 9.88 8299.2

3-4. 0.25 4.30 0.40 1032.00 9.88 10196.16

4-5. 0.25 3.70 0.40 888.00 9.88 8773.44

5-6. 0.25 2.05 0.40 492.00 9.88 4860.96

Σ = 12744.00 63740.76

Xg = 5.00

VIGAS ( CUARTO NIVEL )VIGAS SECUNDARIAS


A-A 1-2. 0.25 2.05 0.40 492.00 0.125 61.5

2-3. 0.25 3.50 0.40 840.00 0.125 105

3-4. 0.25 4.30 0.40 1032.00 0.125 129

4-5. 0.25 3.70 0.40 888.00 0.125 111

5-6. 0.25 3.75 0.40 900.00 0.125 112.5B-B 1-2. 0.25 3.25 0.40 780.00 5 3900

2-3. 0.25 3.50 0.40 840.00 5 4200

3-4. 0.25 4.30 0.40 1032.00 5 5160

4-5. 0.25 3.70 0.40 888.00 5 4440

5-6. 0.25 3.75 0.40 900.00 5 4500

C-C 1-2. 0.25 3.25 0.40 780.00 9.88 7706.4

2-3. 0.25 3.50 0.40 840.00 9.88 8299.2

3-4. 0.25 4.30 0.40 1032.00 9.88 10196.16

4-5. 0.25 3.70 0.40 888.00 9.88 8773.44

5-6. 0.25 2.05 0.40 492.00 9.88 4860.96

Σ = 12624.00 62555.16

Xg = 5.0

CALCULO DEL CENTRO DE MASA :

PRIMER NIVEL: SEGUNDO NIVEL:

X.m = 5.10 X.m = 5.10PD+kPL = 641.657 Y.m= 10.30 PD+kPL = 641.657 Y.m= 10.30

TERCER NIVEL: CUARTO NIVEL:


RESUMEN POR PLANTA

Primer Nivel Segundo Nivel Tercer Nivel Cuarto Nivel

Area de Losa Area de Losa Area de Losa Area de LosaA = 192.368 A = 192.3675 A = 192.3675 A = 192.3675

Centro Geometrico Centro Geometrico Centro Geometrico Centro GeometricoXg= 5.16 Xg= 5.16 Xg= 5.16 Xg= 5.16Yg= 10.33 Yg= 10.33 Yg= 10.33 Yg= 10.33Centro de Masa Centro de Masa Centro de Masa Centro de Masa

Xm= 5.10 Xm= 5.10 Xm= 5.10 Xm= 5.10Ym= 10.30 Ym= 10.30 Ym= 10.30 Ym= 10.26

Ejes Originales Ejes Originales Ejes Originales Ejes OriginalesIx= 26634.60 Ix= 26634.60 Ix= 26634.60 Ix= 26634.60Iy= 166655.45 Iy= 166655.45 Iy= 166655.45 Iy= 166655.45Ejes Baricentricos Ejes Baricentricos Ejes Baricentricos Ejes BaricentricosIxc= 6121.82 Ixc= 6121.82 Ixc= 6121.82 Ixc= 6121.82Iyc= 161542.02 Iyc= 161542.02 Iyc= 161542.02 Iyc= 161542.02J= 167663.84 J= 167663.84 J= 167663.84 J= 167663.84

Altura de Entrepiso Altura de Entrepiso Altura de Entrepiso Altura de EntrepisoH= 2.8 H= 2.8 H= 2.8 H= 2.8

Determinacion del Centro de Rigidez - Sist Dual

PortPrimer Piso

PortSegundo Piso

Kx y Kx*y Kx y Kx*y

1 101.39 0.15 15.209 1 43.35 0.15 6.50

2 100.68 3.70 372.514 2 43.35 3.70 160.403 25.57 7.50 191.770 3 16.39 7.50 122.944 25.57 11.80 301.718 4 16.39 11.80 193.435 120.36 15.80 1901.661 5 53.15 15.80 839.846 101.30 19.85 2010.867 6 43.65 19.85 866.51Σ= 474.87 4793.740 Σ= 216.29 2189.63

Yr = 10.09 Yr = 10.12Ym = 10.30 Ym = 10.30 10.2

e= -0.208 e= -0.179

PortTercer Piso

PortCuarto Piso

Kx y Kx*y Kx y Kx*y

1 28.84 0.15 4.326 1 14.55 0.15 2.183

2 28.77 3.70 106.450 2 14.55 3.70 53.8473 16.39 7.50 122.944 3 16.39 7.50 122.9444 16.39 11.80 193.432 4 16.39 11.80 193.4325 36.62 15.80 578.541 5 20.07 15.80 317.0286 28.89 19.85 573.545 6 14.79 19.85 293.606Σ= 155.91 1579.238 Σ= 96.75 983.039

Yr = 10.13 Yr = 10.16Ym = 10.30 Ym = 10.26

e= -0.173 e= -0.098

Determinacion de los Momentos de Torsion en la direccion X-X

Nivel Vx Ly esy eaccy Mt´x Mt´´x4 45.40 20.00 -0.21 1.00 35.97 -54.823 92.81 20 -0.18 1.00 76.19 -109.422 124.41 20 -0.17 1.00 102.87 -145.951 140.22 20 -0.10 1.00 126.48 -153.95

Determinacion del Centro de Rigidez - Sist Dual

PortPrimer Piso

PortSegundo Piso

Ky x Ky*x Ky x Ky*xA 438.12 0.125 54.765 A 187.59 0.125 23.448B 520.94 5 2604.721 B 297.74 5 1488.687

C 476.87 9.88 4711.468 C 266.62 9.88 2634.250

Σ= 1435.93 7370.954 Σ= 751.95 4146.385

Xr = 5.13 Xr = 5.51Xm = 5.10 Xm = 5.10

e= 0.03 e= 0.42

PortTercer Piso

PortCuarto Piso

Ky x Ky*x Ky x Ky*xA 123.65 0.125 15.456 A 58.41 0.125 7.301

B 227.91 5 1139.545 B 140.65 5 703.226

C 198.92 9.88 1965.379 C 118.41 9.88 1169.885

Σ= 550.48 3120.379 Σ= 317.46 1880.412

Xr = 5.67 Xr = 5.92Xm = 5.10 Xm = 5.10

e= 0.57 e= 0.83

Determinacion de los Momentos de Torsion en la direccion Y-Y

Nivel Vy Lx esy eaccy Mt´y Mt´´y6 45.40 10 0.83 0.50 60.23 14.835 92.81 10 0.57 0.50 99.27 6.474 124.41 10 0.42 0.50 113.89 -10.523 140.22 10 0.03 0.50 74.94 -65.2821

Nivel

6 0.00 0.00 0.0

5 0.00 0.00 0.0

4 4252.73 3937.3 8190.0

3 8128.37 7429.9 15558.2

2 12102.34 10608.8 22711.2

1 27949.20 21743.0 49692.2

(y´)2*Kx (x´)2*Ky (y´)2*Kx + (x´)2*Ky

Determinacion de la Fuerza Cortante Por TorsionDireccion X - X

PortPrimer Piso

Kx y´ y´*Kx V´tx V´´tx1 - 1 101.39 9.94 1008.32 10027.60 0.00 0.00

2 - 2 100.68 6.39 643.83 4117.15 0.00 0.00

3 - 3 25.57 2.59 66.35 172.16 0.00 0.00

4 - 4 25.57 -1.71 -43.60 74.35 0.00 0.00

5 - 5 120.36 -5.71 -686.67 3917.57 0.00 0.00

6 - 6 101.30 -9.76 -988.23 9640.39 0.00 0.00

Mt´x = 0.00 Mt´´x = 0.00

PortSegundo Piso

Kx y´ y´*Kx V´tx V´´tx1 - 1 43.35 9.97 432.36 4312.04 0.000 0.000

2 - 2 43.35 6.42 278.46 1788.65 0.000 0.000

3 - 3 16.39 2.62 43.00 112.81 0.000 0.000

4 - 4 16.39 -1.68 -27.48 46.08 0.000 0.000

5 - 5 53.15 -5.68 -301.74 1712.86 0.000 0.000

6 - 6 43.65 -9.73 -424.60 4129.90 0.000 0.000

Mt´x = 0.00 Mt´´x = 0.00

PortTercer Piso

Kx y´ y´*Kx V´tx V´´tx1 - 1 28.84 9.98 287.83 2872.31 2.340 -2.848

2 - 2 28.77 6.43 184.97 1189.24 1.504 -1.830

3 - 3 16.39 2.63 43.10 113.32 0.350 -0.426

4 - 4 16.39 -1.67 -27.39 45.76 -0.223 0.271

5 - 5 36.62 -5.67 -207.64 1177.48 -1.688 2.055

6 - 6 28.89 -9.72 -280.87 2730.26 -2.283 2.779

Mt´x = 126.48 Mt´´x = -153.95

PortCuarto Piso

Kx y´ y´*Kx V´tx V´´tx1 - 1 14.55 10.01 145.69 1458.48 1.830 -2.596

2 - 2 14.55 6.46 94.03 607.49 1.181 -1.676

3 - 3 16.39 2.66 43.62 116.06 0.548 -0.777

4 - 4 16.39 -1.64 -26.87 44.04 -0.338 0.479

5 - 5 20.07 -5.64 -113.15 638.07 -1.421 2.016

6 - 6 14.79 -9.69 -143.31 1388.59 -1.800 2.554

Mt´x = 102.87 Mt´´x = -145.95

(y´)2*Kx

(y´)2*Kx

(y´)2*Kx

(y´)2*Kx

PortQuinto Piso

Kx y´ y´*Kx V´tx V´´tx1 - 1 0.00 0.00 0.00 0.00 #DIV/0! #DIV/0!

2 - 2 0.00 0.00 0.00 0.00 #DIV/0! #DIV/0!

3 - 3 0.00 0.00 0.00 0.00 #DIV/0! #DIV/0!4 - 4 0.00 0.00 0.00 0.00 #DIV/0! #DIV/0!5 - 5 0.00 0.00 0.00 0.00 #DIV/0! #DIV/0!

6 - 6 0.00 0.00 0.00 0.00 #DIV/0! #DIV/0!

Mt´x = 76.19 Mt´´x = -109.42

PortSexto Piso

Kx y´ y´*Kx V´tx V´´tx1 - 1 0.00 0.00 0.00 0.00 #DIV/0! #DIV/0!2 - 2 0.00 0.00 0.00 0.00 #DIV/0! #DIV/0!3 - 3 0.00 0.00 0.00 0.00 #DIV/0! #DIV/0!4 - 4 0.00 0.00 0.00 0.00 #DIV/0! #DIV/0!

5 - 5 0.00 0.00 0.00 0.00 #DIV/0! #DIV/0!

6 - 6 0.00 0.00 0.00 0.00 #DIV/0! #DIV/0!

Mt´x = 35.97 Mt´´x = -54.82

Determinacion de la Fuerza Cortante Por TorsionDireccion Y - Y

PortPrimer Piso

Ky x´ x´*Ky V´ty V´´tyA - A 438.12 5.01 2194.19 10988.99 0.000 0.000B -B 520.94 0.13 69.40 9.25 0.000 0.000C - C 476.87 -4.75 -2263.59 10744.76 0.000 0.000

D - D 0.00 5.13 0.00 0.00 0.000 0.000

Mtý = 0.00 Mt´ý = 0.00

PortSegundo Piso

Ky x´ x´*Ky V´ty V´´tyA - A 187.59 5.39 1010.94 5448.16 0.000 0.000B -B 297.74 0.51 153.09 78.72 0.000 0.000C - C 266.62 -4.37 -1164.03 5081.96 0.000 0.000

D - D 0.00 5.51 0.00 0.00 0.000 0.000

Mtý = 0.00 Mt´ý = 0.00

PortTercer Piso

Ky x´ x´*Ky V´ty V´´tyA - A 123.65 5.54 685.43 3799.67 3.301 -2.876B -B 227.91 0.67 152.35 101.84 0.734 -0.639C - C 198.92 -4.21 -837.78 3528.35 -4.035 3.515

D - D 0.00 5.67 0.00 0.00 0.000 0.000

Mtý = 74.94 Mt´ý = -65.28

(y´)2*Kx

(y´)2*Kx

(x´)2*Ky

(x´)2*Ky

(x´)2*Ky

PortCuarto Piso

Ky x´ x´*Ky V´ty V´´tyA - A 58.41 5.80 338.65 1963.61 4.709 -0.435B -B 140.65 0.92 129.86 119.90 1.806 -0.167C - C 118.41 -3.96 -468.51 1853.75 -6.515 0.602

D - D 0.00 5.92 0.00 0.00 0.000 0.000

Mtý = 113.89 Mt´ý = -10.52

PortQuinto Piso

Ky x´ x´*Ky V´ty V´´tyA - A 0.00 0.00 0.00 0.00 #DIV/0! #DIV/0!B -B 0.00 0.00 0.00 0.00 #DIV/0! #DIV/0!C - C 0.00 0.00 0.00 0.00 #DIV/0! #DIV/0!

D - D 0.00 0.00 0.00 0.00 #DIV/0! #DIV/0!

Mtý = 99.27 Mt´ý = 6.47

PortSexto Piso

Ky x´ x´*Ky V´ty V´´tyA - A 0.00 0.00 0.00 0.00 #DIV/0! #DIV/0!B -B 0.00 0.00 0.00 0.00 #DIV/0! #DIV/0!C - C 0.00 0.00 0.00 0.00 #DIV/0! #DIV/0!

D - D 0.00 0.00 0.00 0.00 #DIV/0! #DIV/0!

Mtý = 60.23 Mt´ý = 14.83

(x´)2*Ky

(x´)2*Ky

(x´)2*Ky

Resumen de Cortante Por Ejes - Sist Dual

Port Primer Nivel Segundo NivelK Vtras Vtor Vtotal K Vtras Vtor Vtotal

1 - 1 101.39 0.000 0.000 0.000 43.35 0.000 0.000 0.002 - 2 100.68 0.000 0.000 0.000 43.35 0.000 0.000 0.00

3 - 3 25.57 0.000 0.000 0.000 16.39 0.000 0.000 0.00

4 - 4 25.57 0.000 0.000 0.000 16.39 0.000 0.000 0.00

5 - 5 120.36 0.000 0.000 0.000 53.15 0.000 0.000 0.00

6 - 6 101.30 0.000 0.000 0.000 43.65 0.000 0.000 0.000

A - A 438.12 0.000 0.000 0.000 187.59 0.000 0.000 0.00

B -B 520.944 0.000 0.000 0.000 297.737 0.000 0.000 0.00

C - C 476.869 0.000 0.000 0.000 266.624 0.000 0.000 0.000

D - D 0.00 0.000 0.000 0.000 0.00 0.000 0.000 0.00

Port Tercer Nivel Cuarto NivelK Vtras Vtor Vtotal K Vtras Vtor Vtotal

1 - 1 28.84 25.939 2.340 28.279 14.55 18.715 1.830 20.5452 - 2 28.77 25.875 1.504 27.378 14.55 18.715 1.181 19.896

3 - 3 16.39 14.743 0.350 15.093 16.39 21.080 0.548 21.628

4 - 4 16.39 14.743 0.271 15.014 16.39 21.080 0.479 21.559

5 - 5 36.62 32.931 2.055 34.986 20.07 25.803 2.016 27.819

6 - 6 28.89 25.986 2.779 28.765 14.79 19.021 2.554 21.575A - A 123.65 31.495 3.301 34.796 58.41 22.889 4.709 27.598

B -B 227.909 58.052 0.734 58.786 140.645 55.119 1.806 56.925

C - C 198.925 50.669 3.515 54.184 118.409 46.405 0.602 47.007

D - D 0.00 0.000 0.000 0.000 0.00 0.000 0.000 0.000

Port Quinto Nivel Sexto NivelK Vtras Vtor Vtotal K Vtras Vtor Vtotal

1 - 1 0.00 #DIV/0! #DIV/0! #DIV/0! 0.00 #DIV/0! #DIV/0! #DIV/0!2 - 2 0.00 #DIV/0! #DIV/0! #DIV/0! 0.00 #DIV/0! #DIV/0! #DIV/0!3 - 3 0.00 #DIV/0! #DIV/0! #DIV/0! 0.00 #DIV/0! #DIV/0! #DIV/0!

4 - 4 0.00 #DIV/0! #DIV/0! #DIV/0! 0.00 #DIV/0! #DIV/0! #DIV/0!

5 - 5 0.00 #DIV/0! #DIV/0! #DIV/0! 0.00 #DIV/0! #DIV/0! #DIV/0!

6 - 6 0.00 #DIV/0! #DIV/0! #DIV/0! 0.00 #DIV/0! #DIV/0! #DIV/0!A - A 0.00 #DIV/0! #DIV/0! #DIV/0! 0.00 #DIV/0! #DIV/0! #DIV/0!

B -B 0.000 #DIV/0! #DIV/0! #DIV/0! 0.000 #DIV/0! #DIV/0! #DIV/0!

C - C 0.000 #DIV/0! #DIV/0! #DIV/0! 0.000 #DIV/0! #DIV/0! #DIV/0!

D - D 0.00 #DIV/0! #DIV/0! #DIV/0! 0.00 #DIV/0! #DIV/0! #DIV/0!



Área de influencia 43.200Área de Columnas 0.3


AVxx = 2.81AVyy= 3.95


Pc1-3 (he = 2.80) 2.016 TnPc4 (he=1.40) 1.008 Tn




P. s/c 4 4.32 Tn


E = 2173706.5119G = 905711.04664

f = 1.2ko= 0.001

a = 0.638

b = 3.063 Kv =0.25 0.3Ic = 0.0004

2.8 Kc = 0.1395KV = 0.725 k = 8.362

a = 0.807D = 0.113

Kv =

Ic = 0.0004

2.8 Kc = 0.1395KV = 0.725 k = 8.362

a = 0.807D = 0.113

Kv =

Ic = 0.0004

2.8 Kc = 0.1395KV = 0.725 k = 8.362

a = 0.807D = 0.113

Kv =

Ic = 0.0004

2.8 Kc = 0.1395KV = 0.725 k = 8.36193888338

a = 0.8552D = 0.1193

L 3= 1.5e3 = 0.25

PLACA N° 03

3.70 3.80

0.25 0.45

0.25 0.45

I.Placa N° 2 = 0.0703125 m4

Calculo del "a" :



PLACA N° 03

K1 = 9457 K´1 = 9457

0.725



172.748 1149.649 1.000Z = 0.4U = 1.5 V = 51.824 TnS = 1.4

TP = 0.9T(ht/ct) = 0.19

V1-2 (m) = IV1-2 =

V2-3(m) = IV2-3 =

a 2-1 =

b 1-2 =

KV1 =

1 2

ct = 45C = 12.054 2.5R = 7


ECUACION DE OSAWA :


NivelEje - Dc

1 2 3 4 54 0 0.113 0.1069 0.1072 0.10663 0 0.113 0.1069 0.1072 0.10662 0 0.113 0.1069 0.1072 0.10661 0 0.119 0.1151 0.1153 0.1148



Nivel 6*Kvn a.n b.n d.n4 4.350 30.9640762367105 23.61 44.333 4.350 57.5777442251571 23.61 136.412 4.350 57.5777442251571 23.61 215.991 4.350 57.701266835768 23.49 263.30

30.96 -23.61 0.00 0.00-23.61 57.58 -23.61 0.000.00 -23.61 57.58 -23.610.00 0.00 -23.61 57.70







4 3.909 539.673 0.11263 19.812 2392.583 0.11262 32.303 4099.547 0.11261 44.147 10791.638 0.1193

Tn Tn Tn/m



4 0.73 145.05 0.7251 145.0543 0.725 159.02 0.7251 159.0242 0.725 145.36 0.7251 145.363

1 0.725 63.34 0.7251 63.339

RIGIDES LATERAL :

539.673KL=

2392.583KL=

4099.547KL=

10791.638KL=

PLACA N° 03

EJE A-A


Ptbrep 141.66 kg/m2

S/C1= 200.000S/C2= 200.000S/C3= 200.000S/C4= 100.000

P.tab.rep P.cob P.vig P.col P.tab.perim P.placas P.CM0.000 4.320 6.492 1.008 3.270 2.520 31.4675.971 0 6.492 2.016 8.090 5.040 44.6265.971 0 6.492 2.016 8.090 5.040 44.6265.971 0 6.492 2.016 8.090 5.040 44.626

0.441 Kv = 0.4746 Kv = 0.452 Kv = 0.452


k = 6.567 k = 6.642 k = 6.480 k =a = 0.767 a = 0.769 a = 0.764 a =D = 0.107 D = 0.107 D = 0.107 D =

0.441 Kv = 0.4746 Kv = 0.452 Kv = 0.452


k = 6.567 k = 6.6420 k = 6.480 k =a = 0.767 a = 0.7686 a = 0.764 a =D = 0.107 D = 0.107 D = 0.107 D =

0.441 Kv = 0.4746 Kv = 0.452 Kv = 0.452


k = 6.567 k = 6.6420 k = 6.480 k =a = 0.767 a = 0.7686 a = 0.764 a =D = 0.1069 D = 0.1072 D = 0.107 D =

0.441 Kv = 0.4746 Kv = 0.452 Kv = 0.452


k = 6.567 k = 6.6420 k = 6.480 k =a = 0.8249 a = 0.8264 a = 0.8231 a =D = 0.11508 D = 0.1153 D = 0.1148 D =

4.30 4.00 4.2

0.00190 m4 0.25 0.45 0.00190

0.00190 m4 0.25 0.45 0.00190

Qs16.43234.12845.92651.824

V3-4 (m) = IV3-4 =

V4-5(m) = IV4-5 =

3 4 5 6

Eje - DcΣ Dc

60.0863 0.5200.0863 0.5200.0863 0.5200.0996 0.564

Z.n B.n A.n Q Cn0.501 23.61 26.61 16.43 44.330.501 23.61 26.61 34.13 92.080.501 23.61 26.61 45.926 123.910.542 23.49 26.74 51.824 139.39

φ4 44.33* φ3 = 136.41

φ2 215.99φ1 263.30

φ4 10.43φ3 = 11.80φ2 12.57φ1 9.71

Qc.n 3*Kv.n Mv.n12.52 2.18 145.0514.32 2.175 159.0213.62 2.175 145.367.68 2.175 63.34



2.713 0.1069 2.577 0.1072 2.584 0.1066 2.5693.102 0.1069 2.946 0.1072 2.954 0.1066 2.9372.952 0.1069 2.804 0.1072 2.811 0.1066 2.7951.624 0.1151 1.566 0.1153 1.569 0.1148 1.563

Tn Tn Tn Tn

PLACA N° 03

374.571 355.796 356.741 354.689

374.571 355.796 356.741 354.689

374.571 355.796 356.741 354.689

396.968 382.887 383.596 382.057

P.CV

4.328.438.438.43

0.00040.13953.2400.6180.086

0.00040.13953.2400.6180.086

0.00040.13953.2400.6180.086

0.00040.13953.24000.7137

0.0996

m4 0.25 0.45 0.00190 m4

m4 0.25 0.45 0.00190 m4

V5-6 (m) = IV5-6 =

V6-7 (m) = IV6-7 =

6

Eje 6Dc.n Qc.n

0.0863 2.0790.0863 2.3770.0863 2.2610.0996 1.355

Tn

Tn/cm

287.000 22.685

287.000 41.214

287.000 58.283

331.290 126.684

MUTO DE SISTEMA APORTICADOEJE A-A, EJE BB, EJE CC

Viga 25 40 Ivy (cm4) 133333.3333 E = 217370.6512 kg/cm² Col 25 30 Icy (cm4) 39062.5

Placa = 25 150 Ipy (cm4) 195312.5

L (cm) Kv 360.360 350.877 310.078 333.333 317.460

Kp 697.545 697.545 139.509 139.509 697.545 697.545280 K 0.517 1.020 4.738 4.612 0.933 0.455

a 0.205 0.338 0.703 0.698 0.318 0.185D 143.193 235.538 98.098 97.310 221.888 129.306 Kl 4764.164 7836.588 3263.808 3237.604 7382.452 4302.138

360.360 350.877 310.078 333.333 317.460

Kp 697.545 697.545 139.509 139.509 697.545 697.545K 0.517 1.020 4.738 4.612 0.933 0.455

280 a 0.205 0.338 0.703 0.698 0.318 0.185D 143.193 235.538 98.098 97.310 221.888 129.306 Kl 4764.164 7836.588 3263.808 3237.604 7382.452 4302.138

360.360 350.877 310.078 333.333 317.460

Kp 697.545 697.545 139.509 139.509 697.545 697.545K 0.517 1.020 4.738 4.612 0.933 0.455

280 a 0.205 0.338 0.703 0.698 0.318 0.185D 143.193 235.538 98.098 97.310 221.888 129.306 Kl 4764.164 7836.588 3263.808 3237.604 7382.452 4302.138

360.360 350.877 310.078 333.333 317.460

Kp 697.545 697.545 139.509 139.509 697.545 697.545K 0.517 1.020 4.738 4.612 0.933 0.455

280 a 0.404 0.503 0.777 0.773 0.489 0.389D 281.781 351.040 108.450 107.860 340.802 271.366 Kl 9375.128 11679.446 3608.257 3588.604 11338.844 9028.609

L(cm) 370 380 430 400 420

RESUMEN SOBRE REGIDESES LATERALES:

6

5

n Kl (Tn/cm) n Kl (Tn/cm) n Kl (Tn/cm)4 30.79 4 30.79 4 30.793 30.79 3 30.79 3 30.792 30.79 2 30.79 2 30.791 48.62 1 48.62 1 48.62

4

3

2

1

A B C





AVxx = 3.38AVyy= 3.95


Pc1-3 (he = 2.80) 2.016 TnPc4 (he=1.40) 1.008 Tn




P. s/c 4 5.00 Tn


E = 2173706.5119G = 905711.04664

f = 1.2ko= 0.001

a = 0.638

b = 3.563 Kv =0.25 0.3Ic = 0.0006

2.8 Kc = 0.2009KV = 0.580 k = 5.085

a = 0.718D = 0.144

Kv =

Ic = 0.0006

2.8 Kc = 0.2009KV = 0.580 k = 5.085

a = 0.718D = 0.144

Kv =

Ic = 0.0006

2.8 Kc = 0.2009KV = 0.580 k = 5.085

a = 0.718D = 0.144

Kv =

Ic = 0.0006

2.8 Kc = 0.2009KV = 0.580 k = 5.08534434133

a = 0.7883D = 0.1584

L 3= 1.5e3 = 0.25

PLACA N° 03

4.20 4.00

0.25 0.45

0.25 0.45

I.Placa N° 2 = 0.0703125 m4

Calculo del "a" :



PLACA N° 03

K1 = 7566 K´1 = 7566

0.580



192.343 1282.766 1.000Z = 0.4U = 1.5 V = 57.703 TnS = 1.4

TP = 0.9T(ht/ct) = 0.19

V1-2 (m) = IV1-2 =

V2-3(m) = IV2-3 =

a 2-1 =

b 1-2 =

KV1 =

1 2

ct = 45C = 12.054 2.5R = 7


ECUACION DE OSAWA :


NivelEje - Dc

1 2 3 4 54 0 0.144 0.1408 0.1438 0.14443 0 0.144 0.1408 0.1438 0.14442 0 0.144 0.1408 0.1438 0.14441 0 0.158 0.1558 0.1581 0.1585



Nivel 6*Kvn a.n b.n d.n4 3.481 30.5520242124667 23.15 49.343 3.481 57.6233748573580 23.15 150.962 3.481 57.6233748573580 23.15 238.081 3.481 57.838986770815 22.94 289.51

30.55 -23.15 0.00 0.00-23.15 57.62 -23.15 0.000.00 -23.15 57.62 -23.150.00 0.00 -23.15 57.84







4 1.309 173.724 0.14423 18.395 2129.975 0.14422 32.270 3896.048 0.14421 46.657 10757.495 0.1584

Tn Tn Tn/m



4 0.58 121.69 0.5801 121.6913 0.580 133.50 0.5801 133.4992 0.580 122.85 0.5801 122.847

1 0.580 53.78 0.5801 53.780

RIGIDES LATERAL :

173.724KL=

2129.975KL=

3896.048KL=

10757.495KL=

PLACA N° 03

EJE A-A


Ptbrep 141.66 kg/m2

S/C1= 200.000S/C2= 200.000S/C3= 200.000S/C4= 100.000

P.tab.rep P.cob P.vig P.col P.tab.perim P.placas P.CM0.000 5.000 7.437 1.008 3.270 2.520 35.4736.934 0 7.437 2.016 8.090 5.040 49.4266.934 0 7.437 2.016 8.090 5.040 49.4266.934 0 7.437 2.016 8.090 5.040 49.426

0.441 Kv = 0.4996 Kv = 0.513 Kv = 0.513


k = 4.685 k = 5.041 k = 5.108 k =a = 0.701 a = 0.716 a = 0.719 a =D = 0.141 D = 0.144 D = 0.144 D =

0.441 Kv = 0.4996 Kv = 0.513 Kv = 0.513


k = 4.685 k = 5.0409 k = 5.108 k =a = 0.701 a = 0.7159 a = 0.719 a =D = 0.141 D = 0.144 D = 0.144 D =

0.441 Kv = 0.4996 Kv = 0.513 Kv = 0.513


k = 4.685 k = 5.0409 k = 5.108 k =a = 0.701 a = 0.7159 a = 0.719 a =D = 0.1408 D = 0.1438 D = 0.144 D =

0.441 Kv = 0.4996 Kv = 0.513 Kv = 0.513


k = 4.685 k = 5.0409 k = 5.108 k =a = 0.7756 a = 0.7870 a = 0.7890 a =D = 0.15581 D = 0.1581 D = 0.1585 D =

4.30 3.80 3.70

0.00190 m4 0.25 0.45 0.00190

0.00190 m4 0.25 0.45 0.00190

Qs18.50138.10251.16957.703

V3-4 (m) = IV3-4 =

V4-5(m) = IV4-5 =

3 4 5 6

Eje - DcΣ Dc

60.1127 0.6860.1127 0.6860.1127 0.6860.1347 0.765

Z.n B.n A.n Q Cn0.653 23.15 27.07 18.50 49.340.653 23.15 27.07 38.10 101.620.653 23.15 27.07 51.169 136.470.725 22.94 27.29 57.703 153.05

φ4 49.34* φ3 = 150.96

φ2 238.08φ1 289.51

φ4 10.97φ3 = 12.34φ2 13.23φ1 10.30

Qc.n 3*Kv.n Mv.n17.19 1.74 121.6919.71 1.740 133.5018.90 1.740 122.8511.05 1.740 53.78



3.614 0.1408 3.529 0.1438 3.605 0.1444 3.6194.143 0.1408 4.045 0.1438 4.133 0.1444 4.1483.973 0.1408 3.880 0.1438 3.963 0.1444 3.9782.285 0.1558 2.248 0.1581 2.281 0.1585 2.287

Tn Tn Tn Tn

PLACA N° 03

479.722 468.409 478.531 480.327

479.722 468.409 478.531 480.327

479.722 468.409 478.531 480.327

526.890 518.405 525.996 527.343

P.CV

5.009.799.799.79

0.00060.20092.5540.5610.113

0.00060.20092.5540.5610.113

0.00060.20092.5540.5610.113

0.00060.20092.55410.6706

0.1347

m4 0.25 0.45 0.00190 m4

m4 0.25 0.45 0.00190 m4

V5-6 (m) = IV5-6 =

V6-7 (m) = IV6-7 =

6

Eje 6Dc.n Qc.n

0.1127 2.8240.1127 3.2370.1127 3.1050.1347 1.944

Tn

Tn/cm

374.854 24.556

374.854 44.118

374.854 61.779

448.238 133.044

OSAWA DE SISTEMA DUAL

EJE 1-1 Pla 300.00 kg/m2Pcon 75.00 kg/m2

Área de influencia 14.800 Pen 75.00 kg/m2

Área de Columnas 0.075 Pcob 100.00 kg/m2

Area Placas 0.75 Ptbrep 141.66 kg/m2

Área de Vigas 2.875

AVxx = 2.00 S/C1= 200.000 kg/m2AVyy= 0.88 S/C2= 200.000 kg/m2

S/C3= 200.000 kg/m2S/C4= 100.000 kg/m2

Tn Tn

Peso de losa aligerad 3.330 Peso de tab. Perimetral:

Peso del contrapiso: 1.048 Ptp1-3 3.807

Peso del enlucido: 1.110 Ptp 4 1.539

Peso de tab. Repartid 1.980 Peso de placa:

Peso de la cobertura: 1.480 P1-3 5.040

Peso de vigas: 3.000 P4 2.520

Peso de columnas: Peso Sobrecarga

Pc1-3 (he = 2.80) 0.504 P. s/c 1-3 2.795

Pc4 (he=1.40) 0.252 P. s/c 4 1.48

Nivel p.la P.contr P.enlu P.tab.rep P.cob P.vig4 3.330 0 1.110 0.000 1.480 3.0003 3.330 1.048 1.110 1.980 0 3.0002 3.330 1.048 1.110 1.980 0 3.0001 3.330 1.048 1.110 1.980 0 3.000

P.col P.tab.perim P.placas P.CM P.CV0.252 1.539 2.520 13.231 1.480.504 3.807 5.040 19.819 2.800.504 3.807 5.040 19.819 2.800.504 3.807 5.040 19.819 2.80

Nivel hi P.sism hi * Psism k Fs Qs4 11.20 13.601 152.33 0.306 6.91 6.913 8.40 20.5175294167579 172.35 0.347 7.82 14.732 5.60 20.5175294167579 114.90 0.231 5.21 19.941 2.80 20.5175294167579 57.45 0.116 2.61 22.55

75.15 497.03 1

Z = 0.4 C = 9.040 2.5U = 1.5 R = 7S = 1.4

TP = 0.9 V = 22.55 Tn

T(ht/ct) = 0.25ct = 45

E = 2173706.51192842 f = 1.2G = 905711.04663684 ko= 0.001

b = 4.95 a = 1.15 a = 1.15 b = 4.750.25 0.30 0.25 0.30Ip = 0.0004 Ic = 0.00039Kp = 0.1395 Kc = 0.1395k = 4.4389 KV = 0.62 k = 4.4389

2.8 a = 0.6894 a = 0.6894D = 0.0962 D = 0.0962

0.25 0.30 0.25 0.30Ic = 0.0004 Ic = 0.0004Kc = 0.1395 Kc = 0.1395k = 4.4389 KV = 0.62 k = 4.4389

2.8 a = 0.6894 a = 0.6894D = 0.0962 D = 0.0962

0.25 0.30 0.25 0.30Ic = 0.0004 Ic = 0.0004Kc = 0.1395 Kc = 0.1395k = 4.4389 KV = 0.62 k = 4.4389

2.8 a = 0.6894 a = 0.6894D = 0.0962 D = 0.0962

0.25 0.30 0.25 0.30Ic = 0.0004 Ic = 0.0004Kc = 0.1395 Kc = 0.1395k = 4.4389 KV = 0.62 k = 4.4389

2.8 a = 0.7670 a = 0.7670D = 0.1070 D = 0.1070

L p= 1.5e p = 0.25

5 5A B C

V1-2 (m) 0.25 0.4 V.B-C (m) 0.25 0.4

IV. A-B 0.00133 m4 IV. B-C 0.00133 m4

I.Placa = 0.0703125 m4

Calculo del "a" :0.650a. A-B

0.650

Calculo del "b" :4.35 m4.35

Calculo del "K" :

PLACA

K1 = 4038 K´1 = 8077

k2 = 4038 KV1 = 0.62

PLACA KwKw.4 25.11 25.112Kw.3 25.11 25.112Kw.2 25.11 25.112Kw.1 25.11 25.11

ECUACION DE OSAWA :


NivelEje - Dc

Σ DcA B C

4 0.0962 0 0.0962 0.19243 0.0962 0 0.0962 0.19242 0.0962 0 0.0962 0.19241 0.1070 0 0.1070 0.2140

Nivel h.n Kw.n Σ Dc AW.n X.n Z.n4 2.8 25.112 0.1924 0.375 1.014 0.1903 2.8 25.112 0.1924 0.375 1.014 0.1902 2.8 25.112 0.1924 0.375 1.014 0.1901 2.8 25.112 0.2140 0.375 1.016 0.211

B.n A.n Q Cn24.54 25.68 6.91 19.0824.54 25.68 14.73 40.6724.54 25.68 19.940 55.0624.48 25.74 22.546 62.16


Nivel 6*Kvn a.n b.n d.n4 3.716 29.40 24.54 19.083 3.716 55.08 24.54 59.752 3.716 55.08 24.54 95.731 3.716 55.14 24.48 117.22

a. B-C

b. A-Bb. B-C

29.40 -24.54 0.00 0.00 φ4 19.08-24.54 55.08 -24.54 0.00 φ3 59.750.00 -24.54 55.08 -24.54 φ2 = 95.730.00 0.00 -24.54 55.14 φ1 117.22

φ4 6.94φ3 = 7.54φ2 7.54φ1 5.48


Nivel φ.n (φ.n-1 + φ.n)*3 Z.n C.n Qw.n Qc.n4 6.94 43.44 0.190 19.08 3.87 3.043 7.54 45.24 0.190 40.67 11.46 3.2682 7.54 39.07 0.190 55.06 17.02 2.9221 5.48 16.45 0.211 62.16 20.96 1.583

3*Kv.n Mv.n1.86 12.90

1.858 14.011.858 14.011.858 10.18


Nivel hn Do.n Qw.n * hn /Kw.nQw.n * hn / G * AW.n4 2.8 3327.10 0.4317 0.00003193 2.8 3327.10 1.2778 0.00009452 2.8 3327.10 1.8976 0.00014031 2.8 3327.10 2.3374 0.0001728



Nivel Eje A Eje B Eje CDc.n Qc.n Qw.n Dw.n Dc.n Qc.n

4 0.0962 1.519 3.871 815.344 0.0962 1.5193 0.0962 1.634 11.460 2244.285 0.0962 1.6342 0.096 1.461 17.018 3727.502 0.0962 1.461

*

1 0.107 0.881 20.963 9427.144 0.1070 0.881Tn Tn Tn/m Tn


Nivel Kv.n Mv.n PLACAKv 2-1 Mv 2-1 Kv 2-3 Mv 2-3

4 0.62 12.90 0.3096 6.449 0.3096 6.4493 0.619 14.01 0.3096 7.003 0.3096 7.0032 0.619 14.01 0.3096 7.004 0.3096 7.0041 0.619 10.18 0.3096 5.092 0.3096 5.092

RIGIDES LATERAL :

Tn/cm

815.344KL= 319.986 319.986 14.553

2244.285KL= 319.986 319.986 28.843

3727.502KL= 319.986 319.986 43.675

9427.144KL= 356.030 356.030 101.392








S/C3= 200.000 kg/m2S/C4= 100.000 kg/m2

Tn Tn








Pc1-3 (he = 2.80) 1.008 P. s/c 1-3 7.395

Pc4 (he=1.40) 0.504 P. s/c 4 3.75




123.41 825.24 1

Z = 0.4 C = 9.040 2.5U = 1.5 R = 7S = 1.4

TP = 0.9 V = 37.02 Tn

T(ht/ct) = 0.25ct = 45

E = 2173706.51192842 f = 1.2G = 905711.04663684 ko= 0.001


2.8 a = 0.6894 a = 0.6894D = 0.0962 D = 0.0962

0.25 0.30 0.25 0.30Ic = 0.0004 Ic = 0.0004Kc = 0.1395 Kc = 0.1395k = 4.4389 KV = 0.62 k = 4.4389

2.8 a = 0.6894 a = 0.6894D = 0.0962 D = 0.0962

0.25 0.30 0.25 0.30Ic = 0.0004 Ic = 0.0004Kc = 0.1395 Kc = 0.1395k = 4.4389 KV = 0.62 k = 4.4389

2.8 a = 0.6894 a = 0.6894D = 0.0962 D = 0.0962

0.25 0.30 0.25 0.30Ic = 0.0004 Ic = 0.0004Kc = 0.1395 Kc = 0.1395k = 4.4389 KV = 0.62 k = 4.4389

2.8 a = 0.7670 a = 0.7670D = 0.1070 D = 0.1070

L p= 1.5e p = 0.25

5 5A B C

V1-2 (m) 0.25 0.4 V.B-C (m) 0.25 0.4

IV. A-B 0.00133 m4 IV. B-C 0.00133 m4

I.Placa = 0.0703125 m4


0.650


Calculo del "K" :

PLACA

K1 = 4038 K´1 = 8077

k2 = 4038 KV1 = 0.62


ECUACION DE OSAWA :


NivelEje - Dc

Σ DcA B C

4 0.0962 0 0.0962 0.19243 0.0962 0 0.0962 0.19242 0.0962 0 0.0962 0.19241 0.1070 0 0.1070 0.2140


B.n A.n Q Cn24.54 25.68 12.03 33.2324.54 25.68 24.53 67.7424.54 25.68 32.859 90.7424.48 25.74 37.024 102.08


Nivel 6*Kvn a.n b.n d.n4 3.716 29.40 24.54 33.233 3.716 55.08 24.54 100.972 3.716 55.08 24.54 158.471 3.716 55.14 24.48 192.82

a. B-C

b. A-Bb. B-C

29.40 -24.54 0.00 0.00 φ4 33.23-24.54 55.08 -24.54 0.00 φ3 100.970.00 -24.54 55.08 -24.54 φ2 = 158.470.00 0.00 -24.54 55.14 φ1 192.82

φ4 11.67φ3 = 12.63φ2 12.55φ1 9.08



3*Kv.n Mv.n1.86 21.69

1.858 23.461.858 23.321.858 16.88






4 0.0962 2.553 6.929 868.599 0.0962 2.5533 0.0962 2.728 19.073 2237.060 0.0962 2.7282 0.096 2.425 28.009 3695.135 0.0962 2.425

*

1 0.107 1.457 34.406 9355.899 0.1070 1.162Tn Tn Tn/m Tn



4 0.62 21.69 0.3096 10.844 0.3096 10.8443 0.619 23.46 0.3096 11.731 0.3096 11.7312 0.619 23.32 0.3096 11.660 0.3096 11.6601 0.619 16.88 0.3096 8.438 0.3096 8.438

RIGIDES LATERAL :

Tn/cm

868.599KL= 319.986 319.986 15.086

2237.060KL= 319.986 319.986 28.770

3695.135KL= 319.986 319.986 43.351

9355.899KL= 356.030 356.030 100.680

2.5532.7282.425

MUTO DE SISTEMA APORTICADO

EJE 1-1, EJE 2-2, EJE 3-3, EJE 4-4, EJE 5-5, EJE 6-6

E = 217370.6512 kg/cm²

Viga 25 45 Ivx (cm4) 189843.75Col 25 30 Icx (cm4) 56250

Plac 25 150 Ipx (cm4) 195312.5L (cm) Kv 379.6875 379.6875

Kc 697.54464286 697.54464286 200.89285714280 K 0.54432 1.08864 1.89

a 0.213935354 0.3524658102 0.4858611825D 149.22946013 245.86063769 97.606041131 Kl 4965.0160601 8180.0337119 3247.4523553

379.6875 379.6875

Kc 697.54464286 697.54464286 200.89285714K 0.54432 1.08864 1.89

280 a 0.213935354 0.3524658102 0.4858611825D 149.22946013 245.86063769 97.606041131 Kl 4965.0160601 8180.0337119 3247.4523553

379.6875 379.6875

Kc 697.54464286 697.54464286 200.89285714K 0.54432 1.08864 1.89

280 a 0.213935354 0.3524658102 0.4858611825D 149.22946013 245.86063769 97.606041131 Kl 4965.0160601 8180.0337119 3247.4523553

379.6875 379.6875

Kc 697.54464286 697.54464286 200.89285714K 0.54432 1.08864 1.89

280 a 0.410451516 0.514349358 0.614395887D 286.30825581 358.78163898 123.42774513 Kl 9525.7671441 11937.030383 4106.566735

L(cm) 500 500


n Kl (Tn/cm)4 16.393 16.392 16.391 25.57

6

n Kl (Tn/cm)4 16.393 16.392 16.391 25.57

5

n Kl (Tn/cm)4 16.393 16.392 16.391 25.57

4

n Kl (Tn/cm)4 16.393 16.392 16.391 25.57

3

n Kl (Tn/cm)4 16.393 16.392 16.391 25.57

2

n Kl (Tn/cm)4 16.393 16.392 16.391 25.57

1A B C



E = 217370.6512 kg/cm²


Plac 25 150 Ipx (cm4) 195312.5L (cm) Kv 379.6875 379.6875

Kc 200.89285714 697.54464286 697.54464286280 K 1.89 1.08864 0.54432

a 0.4858611825 0.3524658102 0.213935354D 97.606041131 245.86063769 149.22946013 Kl 3247.4523553 8180.0337119 4965.0160601

379.6875 379.6875

Kc 200.89285714 697.54464286 697.54464286K 1.89 1.08864 0.54432

280 a 0.4858611825 0.3524658102 0.213935354D 97.606041131 245.86063769 149.22946013 Kl 3247.4523553 8180.0337119 4965.0160601

379.6875 379.6875

Kc 200.89285714 697.54464286 697.54464286K 1.89 1.08864 0.54432

280 a 0.4858611825 0.3524658102 0.213935354D 97.606041131 245.86063769 149.22946013 Kl 3247.4523553 8180.0337119 4965.0160601

379.6875 379.6875

Kc 200.89285714 697.54464286 697.54464286K 1.89 1.08864 0.54432

280 a 0.614395887 0.514349358 0.410451516D 123.42774513 358.78163898 286.30825581 Kl 4106.566735 11937.030383 9525.7671441

L(cm) 500 500


n Kl (Tn/cm)4 16.393 16.392 16.391 25.57

6

n Kl (Tn/cm)4 16.393 16.392 16.391 25.57

5

n Kl (Tn/cm)4 16.393 16.392 16.391 25.57

4

n Kl (Tn/cm)4 16.393 16.392 16.391 25.57

3

n Kl (Tn/cm)4 16.393 16.392 16.391 25.57

2

n Kl (Tn/cm)4 16.393 16.392 16.391 25.57

1A B C








S/C3= 200.000 kg/m2S/C4= 100.000 kg/m2

Tn Tn








Pc1-3 (he = 2.80) 1.008 P. s/c 1-3 8.195

Pc4 (he=1.40) 0.504 P. s/c 4 4.15




138.76 930.26 1

Z = 0.4 C = 9.040 2.5U = 1.5 R = 7S = 1.4

TP = 0.9 V = 41.63 Tn

T(ht/ct) = 0.25ct = 45

E = 2173706.51192842 f = 1.2G = 905711.04663684 ko= 0.001


2.8 a = 0.3074 a = 0.3074D = 0.2144 D = 0.2144

0.25 1.50 0.25 0.30Ic = 0.0020 Ic = 0.0020Kc = 0.6975 Kc = 0.6975k = 0.8878 KV = 0.62 k = 0.8878

2.8 a = 0.3074 a = 0.3074D = 0.2144 D = 0.2144

0.25 1.50 0.25 0.30Ic = 0.0020 Ic = 0.0020Kc = 0.6975 Kc = 0.6975k = 0.8878 KV = 0.62 k = 0.8878

2.8 a = 0.3074 a = 0.3074D = 0.2144 D = 0.2144

0.25 1.50 0.25 0.30Ic = 0.0020 Ic = 0.0020Kc = 0.6975 Kc = 0.6975k = 0.8878 KV = 0.62 k = 0.8878

2.8 a = 0.4806 a = 0.4806D = 0.3352 D = 0.3352

L p= 1.5e p = 0.25

5 5A B C

V1-2 (m) 0.25 0.4 V.B-C (m) 0.25 0.4

IV. A-B 0.00133 m4 IV. B-C 0.00133 m4

I.Placa = 0.0703125 m4


0.650


Calculo del "K" :

PLACA

K1 = 4038 K´1 = 8077

k2 = 4038 KV1 = 0.62


ECUACION DE OSAWA :


NivelEje - Dc

Σ DcA B C

4 0.2144 0 0.2144 0.42893 0.2144 0 0.2144 0.42892 0.2144 0 0.2144 0.42891 0.3352 0 0.3352 0.6704


B.n A.n Q Cn23.86 26.36 13.71 37.2323.86 26.36 27.67 75.1323.86 26.36 36.975 100.4023.19 27.03 41.627 111.14


Nivel 6*Kvn a.n b.n d.n4 3.716 30.07 23.86 37.233 3.716 56.43 23.86 112.372 3.716 56.43 23.86 175.531 3.716 57.10 23.19 211.53

a. B-C

b. A-Bb. B-C

30.07 -23.86 0.00 0.00 φ4 37.23-23.86 56.43 -23.86 0.00 φ3 112.370.00 -23.86 56.43 -23.86 φ2 = 175.530.00 0.00 -23.86 57.10 φ1 211.53

φ4 9.96φ3 = 10.99φ2 11.33φ1 8.44



3*Kv.n Mv.n1.86 18.50

1.858 20.421.858 21.041.858 15.68






4 0.2144 4.876 3.961 579.561 0.2144 4.8763 0.2144 5.392 16.887 2234.704 0.2144 5.3922 0.214 4.963 27.049 3888.499 0.2144 4.963

*

1 0.335 3.857 33.912 9805.216 0.3352 3.857Tn Tn Tn/m Tn



4 0.62 18.50 0.3096 9.252 0.3096 9.2523 0.619 20.42 0.3096 10.211 0.3096 10.2112 0.619 21.04 0.3096 10.521 0.3096 10.5211 0.619 15.68 0.3096 7.838 0.3096 7.838

RIGIDES LATERAL :

Tn/cm

579.561KL= 713.474 713.474 20.065

2234.704KL= 713.474 713.474 36.617

3888.499KL= 713.474 713.474 53.154

9805.216KL= 1115.306 1115.306 120.358

EJE 7-7




AVxx = 2.00AVyy= 1.063


Pc1-3 (he = 2.80) 0.504 TnPc4 (he=1.40) 0.252 Tn




P. s/c 4 2.1 Tn

Nivel p.la P.contr P.enlu P.tab.rep4 5.134 0 1.575 0.0003 5.134 1.513 1.575 2.8582 5.134 1.513 1.575 2.8581 5.134 1.513 1.575 2.858

EJE 7-7

E = 2173706.51193

G = 905711.046637

f = 1.2ko= 0.001

b = 4.95 a = 1.1500.25 0.30

Ic = 0.00039

Kc = 0.1395

k = 4.4657

2.8 a = 0.6907 KV =

D = 0.0964

0.25 0.30

Ic = 0.00039

Kc = 0.1395

k = 4.4657 KV =

2.8 a = 0.6907

D = 0.0964

0.25 0.30

Ic = 0.00039

Kc = 0.1395

k = 4.4657 KV =

2.8 a = 0.6907

D = 0.0964

0.25 0.30

Ic = 0.00039

Kc = 0.1395

k = 4.4657 KV =

2.8 a = 0.7680

D = 0.1071

L p=e p =

5

PLACA N° 02

2

0.25 0.4 0.25

0.00133 m4 0.00133

Calculo del "a" :0.650

Calculo del "b" :4.35

Calculo del "K" :

PLACA N° 02

K1 = 4038 K´1 =

k2 = 4087


Nivel hi P.sism hi * Psism k4 11.20 16.82475 188.44 0.3133 8.40 24.61955185926 206.80 0.344

2 5.60 24.61955185926 137.87 0.229

1 2.80 24.61955185926 68.93 0.115

90.68 602.05 1

Z = 0.4U = 1.5 V =S = 1.4

TP = 0.9T(ht/ct) = 0.25

ct = 45

V1-2 (m) = V2-3(m) =

IV1-2 = IV2-3 =

a 2-1 =

b 1-2=

KV1 =

1 2

C = 9.040 2.5R = 7


ECUACION DE OSAWA :


NivelEje - Dc

Σ Dc1 2 3

4 0.0964 0 0.0964 0.19273 0.0964 0 0.0964 0.19272 0.0964 0 0.0964 0.19271 0.1071 0 0.1071 0.2143

Nivel h.n Kw.n Σ Dc AW.n4 2.8 25.112 0.1927 0.3753 2.8 25.112 0.1927 0.3752 2.8 25.112 0.1927 0.3751 2.8 25.112 0.2143 0.375


Nivel 6*Kvn a.n b.n d.n4 3.738 29.42 24.54 23.513 3.738 55.10 24.54 72.832 3.738 55.10 24.54 115.841 3.738 55.16 24.48 141.52

29.42 -24.54 0.00 0.00-24.54 55.10 -24.54 0.000.00 -24.54 55.10 -24.540.00 0.00 -24.54 55.16


Nivel φ.n (φ.n-1 + φ.n)*3 Z.n4 8.42 52.6473267219 0.1903 9.13 54.7534222591 0.1902 9.12 47.2243725801 0.1901 6.62 19.8671741055 0.211


Nivel hn Do.n Qw.n * hn /Kw.n4 2.8 3327.10 0.53793 2.8 3327.10 1.54952 2.8 3327.10 2.29161 2.8 3327.10 2.8199


Nivel Eje 1 Eje 2Dc.n Qc.n Qw.n

4 0.0964 1.846 4.8243 0.0964 1.982 13.8972 0.096 1.769 20.5521 0.107 0.957 25.290

Tn Tn


Nivel Kv.n Mv.n PLACA N° 02Kv 2-1

4 0.62 15.73 0.30963 0.623 17.07 0.30962 0.623 17.04 0.30961 0.623 12.38 0.3096

RIGIDES LATERAL :

837.956KL= 320.583

2248.227KL= 320.583

3724.131KL= 320.583

9417.358KL= 356.478


Ptbrep 141.66 kg/m2

S/C1= 200.000S/C2= 200.000S/C3= 200.000S/C4= 100.000

P.cob P.vig P.col P.tab.perim P.placas P.CM P.CV

2.100 3.180 0.252 1.539 2.520 16.300 2.100 3.180 0.504 3.807 5.040 23.611 4.04

0 3.180 0.504 3.807 5.040 23.611 4.04

0 3.180 0.504 3.807 5.040 23.611 4.04

a = 1.15 b = 4.710.25 0.30

Ip = 0.00039

Kp = 0.1395

k = 4.4657

0.62 a = 0.6907

D = 0.0964

Kv0.25 0.30

Ip = 0.0004

Kp = 0.1395

0.62 k = 4.4657

a = 0.6907

D = 0.0964

Kv0.25 0.30

Ip = 0.0004

Kp = 0.1395

0.62 k = 4.4657

a = 0.6907

D = 0.0964

Kv0.25 0.30

Ip = 0.0004

Kp = 0.1395

0.62 k = 4.4657

a = 0.7680

D = 0.1071

1.50.25

5

PLACA N° 02

2 3

0.4 I.Placa(1) = 0.0703125

m4

m 0.65

m 4.31

8125

0.62

Fs Qs8.52 8.529.34 17.86

6.23 24.09

3.11 27.21

27.21 Tn

a 2-3 =

b 2-3 =

2 3

X.n Z.n B.n A.n Q Cn1.014 0.190 24.54 25.68 8.52 23.511.014 0.190 24.54 25.68 17.86 49.321.014 0.190 24.54 25.68 24.090 66.521.016 0.211 24.48 25.74 27.205 75.00

φ4 23.51* φ3 = 72.83

φ2 115.84φ1 141.52

φ4 8.42

φ3 = 9.13φ2 9.12φ1 6.62

C.n Qw.n Qc.n 3*Kv.n Mv.n23.51 4.82 3.69 1.87 15.7349.32 13.90 3.963 1.869 17.0766.52 20.55 3.538 1.869 17.0475.00 25.29 1.915 1.869 12.38

ANALISIS SISMICOQw.n * hn / G * AW.n Δ.relativo Δ.absoluto Δ.real Δ.absoluto Distorcion

0.0000398 0.00576 0.02014 0.1057 0.2384 0.01080.0001146 0.00618 0.01439 0.0755 0.1327 0.01160.0001694 0.00552 0.00820 0.0431 0.0572 0.01030.0002085 0.00269 0.00269 0.0141 0.0141 0.0050

Eje 2 Eje 3Dw.n Dc.n Qc.n

837.956 0.0964 1.8462248.227 0.0964 1.9823724.131 0.0964 1.7699417.358 0.1071 0.957

Tn/m Tn

PLACA N° 02Mv 2-1 Kv 2-3 Mv 2-37.819 0.3134 7.9138.483 0.3134 8.5858.471 0.3134 8.5736.152 0.3134 6.226

Tn/cm

837.956320.583 14.791

2248.227320.583 28.894

3724.131320.583 43.653

9417.358356.478 101.303



E = 217370.6512 kg/cm²


L (cm) Kv 379.6875 379.6875

Kc 200.89285714 200.89285714 200.89285714280 K 1.89 3.78 1.89

a 0.4858611825 0.6539792388 0.4858611825D 97.606041131 131.37975779 97.606041131 Kl 3247.4523553 4371.1382913 3247.4523553

379.6875 379.6875

Kc 200.89285714 200.89285714 200.89285714K 1.89 3.78 1.89

280 a 0.4858611825 0.6539792388 0.4858611825D 97.606041131 131.37975779 97.606041131 Kl 3247.4523553 4371.1382913 3247.4523553

379.6875 379.6875

Kc 200.89285714 200.89285714 200.89285714K 1.89 3.78 1.89

280 a 0.4858611825 0.6539792388 0.4858611825D 97.606041131 131.37975779 97.606041131 Kl 3247.4523553 4371.1382913 3247.4523553

379.6875 379.6875

Kc 200.89285714 200.89285714 200.89285714K 1.89 3.78 1.89

280 a 0.614395887 0.740484429 0.614395887D 123.42774513 148.75803262 123.42774513 Kl 4106.566735 4949.331187 4106.566735

L(cm) 500 500


n Kl (Tn/cm)4 10.873 10.872 10.871 13.16

6

n Kl (Tn/cm)4 10.873 10.872 10.871 13.16

5

n Kl (Tn/cm)4 10.873 10.872 10.871 13.16

4

n Kl (Tn/cm)4 10.873 10.872 10.871 13.16

3

n Kl (Tn/cm)4 10.873 10.872 10.871 13.16

2

n Kl (Tn/cm)4 10.873 10.872 10.871 13.16

1A B C

MUTO DE SISTEMA APORTICADOEJE A-A, EJE BB, EJE CC

Viga 25 40 Ivy (cm4) 133333.3333 E = 217370.6512 kg/cm² Col 25 30 Icy (cm4) 39062.5

L (cm) Kv 360.360 350.877 310.078 333.333 317.460

Kc 139.509 139.509 139.509 139.509 139.509 139.509280 K 2.583 5.098 4.738 4.612 4.665 2.276

a 0.564 0.718 0.703 0.698 0.700 0.532D 78.629 100.200 98.098 97.310 97.645 74.250 Kl 2616.057 3333.769 3263.808 3237.604 3248.751 2470.376

360.360 350.877 310.078 333.333 317.460

Kc 139.509 139.509 139.509 139.509 139.509 139.509K 2.583 5.098 4.738 4.612 4.665 2.276

280 a 0.564 0.718 0.703 0.698 0.700 0.532D 78.629 100.200 98.098 97.310 97.645 74.250 Kl 2616.057 3333.769 3263.808 3237.604 3248.751 2470.376

360.360 350.877 310.078 333.333 317.460

Kc 139.509 139.509 139.509 139.509 139.509 139.509K 2.583 5.098 4.738 4.612 4.665 2.276

280 a 0.564 0.718 0.703 0.698 0.700 0.532D 78.629 100.200 98.098 97.310 97.645 74.250 Kl 2616.057 3333.769 3263.808 3237.604 3248.751 2470.376

360.360 350.877 310.078 333.333 317.460

Kc 139.509 139.509 139.509 139.509 139.509 139.509K 2.583 5.098 4.738 4.612 4.665 2.276

280 a 0.673 0.789 0.777 0.773 0.775 0.649D 93.849 110.028 108.450 107.860 108.111 90.565 Kl 3122.444 3660.728 3608.257 3588.604 3596.965 3013.183

L(cm) 370 380 430 400 420


6

5

n Kl (Tn/cm) n Kl (Tn/cm) n Kl (Tn/cm)4 18.17 4 18.17 4 18.173 18.17 3 18.17 3 18.172 18.17 2 18.17 2 18.171 20.59 1 20.59 1 20.59

4

3

2

1

A B C

CENTRO DE MASA DE SISTEMA APORTICADOPRIMER NIVEL

COLUMNAS LOSA


C - 011-1

0.25 0.3 0.125 0.15 0 0C -02 0.25 0.3 5 0.15 0 20C - 03 0.25 0.3 9.88 0.15 10 20C - 04

2-20.25 0.3 0.125 3.70 10 0

C - 05 0.25 0.3 5 3.70 2.15 0C - 06 0.25 0.3 9.88 3.70 2.15 3.55C - 07

3-30.25 0.3 0.125 7.50 0 3.55

C - 08 0.25 0.3 5 7.50 0 0C - 09 0.25 0.3 9.88 7.50C - 10

4-40.25 0.3 0.125 11.80

C - 11 0.25 0.3 5 11.80C - 12 0.25 0.3 9.88 11.80C - 13

5-50.25 0.3 0.125 15.80

C - 14 0.25 0.3 5 15.80C - 15 0.25 0.3 9.88 15.80C - 16

6-60.25 0.3 0.125 19.85

C - 17 0.25 0.3 5 19.85C - 18 0.25 0.3 9.88 19.85


SEGUNDO NIVEL

COLUMNAS LOSA


C - 011-1

0.25 0.3 0.125 0.15 0 0C -02 0.25 0.3 5 0.15 0 20C - 03 0.25 0.3 9.88 0.15 10 20C - 04

2-20.25 0.3 0.125 3.70 10 0

C - 05 0.25 0.3 5 3.70 2.15 0C - 06 0.25 0.3 9.88 3.70 2.15 3.55C - 07

3-30.25 0.3 0.125 7.50 0 3.55

C - 08 0.25 0.3 5 7.50 0 0C - 09 0.25 0.3 9.88 7.50C - 10

4-40.25 0.3 0.125 11.80

C - 11 0.25 0.3 5 11.80C - 12 0.25 0.3 9.88 11.80C - 13

5-50.25 0.3 0.125 15.80

C - 14 0.25 0.3 5 15.80C - 15 0.25 0.3 9.88 15.80C - 16

6-60.25 0.3 0.125 19.85

C - 17 0.25 0.3 5 19.85C - 18 0.25 0.3 9.88 19.85


TERCER NIVEL

COLUMNAS

|

LOSA


C - 01 1-1 0.25 0.3 0.125 0.15 0 0C -02 0.25 0.3 5 0.15 0 20C - 03 0.25 0.3 9.88 0.15 10 20C - 04 2-2 0.25 0.3 0.125 3.70 10 0C - 05 0.25 0.3 5 3.70 2.15 0C - 06 0.25 0.3 9.88 3.70 2.15 3.55C - 07 3-3 0.25 0.3 0.125 7.50 0 3.55C - 08 0.25 0.3 5 7.50 0 0C - 09 0.25 0.3 9.88 7.50C - 10 4-4 0.25 0.3 0.125 11.80C - 11 0.25 0.3 5 11.80C - 12 0.25 0.3 9.88 11.80C - 13 5-5 0.25 0.3 0.125 15.80C - 14 0.25 0.3 5 15.80C - 15 0.25 0.3 9.88 15.80C - 16 6-6 0.25 0.3 0.125 19.85C - 17 0.25 0.3 5 19.85C - 18 0.25 0.3 9.88 19.85

Area de Columnas: 1.58 m2

Area de Vigas: 27.53 m2

CUARTO NIVEL

COLUMNAS LOSA Nom Eje DIMENSIONES COORDENADAS COORDENADAS

x (m) y (m) x (m) y (m) x (m) y (m)C - 01 1-1 0.25 0.3 0.125 0.15 0 0C -02 0.25 0.3 5 0.15 0 20C - 03 0.25 0.3 9.88 0.15 10 20C - 04 2-2 0.25 0.3 0.125 3.70 10 0C - 05 0.25 0.3 5 3.70 2.15 0C - 06 0.25 0.3 9.88 3.70 2.15 3.55C - 07 3-3 0.25 0.3 0.125 7.50 0 3.55C - 08 0.25 0.3 5 7.50 0 0C - 09 0.25 0.3 9.88 7.50C - 10 4-4 0.25 0.3 0.125 11.80C - 11 0.25 0.3 5 11.80C - 12 0.25 0.3 9.88 11.80C - 13 5-5 0.25 0.3 0.125 15.80C - 14 0.25 0.3 5 15.80C - 15 0.25 0.3 9.88 15.80C - 16 6-6 0.25 0.3 0.125 19.85C - 17 0.25 0.3 5 19.85C - 18 0.25 0.3 9.88 19.85


DETERMINACIÓN DE LAS PROPIEDADES GEOMETRICAS:PRIMER NIVEL


10 0 0 0 0 0 0 0 0 0 011 0 0 0 0 0 0 0 0 0 0

12 0 0 0 0 0 0 0 0 0 0

Σ = 192.3675 991.7950625 1986.4523125 26634.60380625 166655.446500104


Xg = 5.16 m Yg = 10.33 m4.950 10.16

SEGUNDO NIVEL


10 1 0 0 0 0 0 0 0 0 011 1 0 0 0 0 0 0 0 0 0

12 1 0 0 0 0 0 0 0 0 0

Σ = 192.3675 991.7950625 1986.4523125 26634.60380625 166655.446500104


Xg = 5.16 m Yg = 10.33 m

TERCER NIVEL


10 1 0 0 0 0 0 0 0 0 011 1 0 0 0 0 0 0 0 0 0

12 1 0 0 0 0 0 0 0 0 0

Σ = 192.3675 991.7950625 1986.4523125 26634.60380625 166655.446500104


Xg = 5.16 m Yg = 10.33 m

CUARTO NIVEL


10 1 0 0 0 0 0 0 0 0 011 1 0 0 0 0 0 0 0 0 0

12 1 0 0 0 0 0 0 0 0 0

Σ = 192.3675 991.7950625 1986.4523125 26634.60380625 166655.446500104


Xg = 5.16 m Yg = 10.33 m

Cargas :

Carga Muerta1 nivel 2 nivel 3 nivel 4 nivel Kg/m2

Peso de Losa Aligerada 300 Kg/m2

591.66 591.66 591.66 475.00

Peso de Contrapiso 75 Kg/m2

Peso de Enlucido 75 Kg/m2

Peso de Tabiqueria Repartida 141.7 Kg/m2

Peso de Cobertura 100 Kg/m2

Peso Especifico de Concreto Armado 2400 kg/m3

Peso Especifico de Concreto Simple 2000 kg/m3

Peso Especifico de Albañileria 1350 kg/m3

Espesor del muro 0.15 m

Carga VivaSobrecarga 200 Kg/m2 200 200 200 100 Kg/m2

Sobrecarga 100 Kg/m2

k= 0.25 Azoteask= 0.25 Pisos tipicos

CALCULO DEL X col , Y col :

COLUMNAS - Primer NivelNom Eje Dimensiones P P*x P*Y Ix Iy Kcx Kcy

x (m) y (m) (kg) (cm4) (cm4) (cm3) (cm3)C-01 1-1 0.25 0.3 504.0 63.00 75.60 39062.5 56250 139.508928571 200.8928571C-02 0.25 0.3 504.0 2520.00 75.60 39062.5 56250 139.508928571 200.8928571C-03 0.25 0.3 504.0 4979.52 75.60 39062.5 56250 139.508928571 200.8928571C-04 2-2 0.25 0.3 504.0 63.00 1864.80 39062.5 56250 139.508928571 200.8928571C-05 0.25 0.3 504.0 2520.00 1864.80 39062.5 56250 139.508928571 200.8928571C-06 0.25 0.3 504.0 4979.52 1864.80 39062.5 56250 139.508928571 200.8928571C-07 3-3 0.25 0.3 504.0 63.00 3780.00 39062.5 56250 139.508928571 200.8928571C-08 0.25 0.3 504.0 2520.00 3780.00 39062.5 56250 139.508928571 200.8928571C-09 0.25 0.3 504.0 4979.52 3780.00 39062.5 56250 139.508928571 200.8928571C-10 4-4 0.25 0.3 504.0 63.00 5947.20 39062.5 56250 139.508928571 200.8928571C-11 0.25 0.3 504.0 2520.00 5947.20 39062.5 56250 139.508928571 200.8928571C-12 0.25 0.3 504.0 4979.52 5947.20 39062.5 56250 139.508928571 200.8928571C-13 5-5 0.25 0.3 504.0 63.00 7963.20 39062.5 56250 139.508928571 200.8928571C-14 0.25 0.3 504.0 2520.00 7963.20 39062.5 56250 139.508928571 200.8928571C-15 0.25 0.3 504.0 4979.52 7963.20 39062.5 56250 139.508928571 200.8928571C-16 6-6 0.25 0.3 504.0 63.00 10004.40 39062.5 56250 139.508928571 200.8928571C-17 0.25 0.3 504.0 2520.00 10004.40 39062.5 56250 139.508928571 200.8928571C-18 0.25 0.3 504.0 4979.52 10004.40 39062.5 56250 139.508928571 200.8928571Σ = 9072.0 45375.12 88905.60

Xg = 5.00Yg = 9.80

COLUMNAS - Segundo NivelNom Eje Dimensiones P P*x P*Y Ix Iy Kcx Kcy

x (m) y (m) (kg) (cm4) (cm4) (cm3) (cm3)C-01 1-1 0.25 0.3 504.0 63.00 75.60 39062.5 56250 139.508928571 200.8928571C-02 0.25 0.3 504.0 2520.00 75.60 39062.5 56250 139.508928571 200.8928571C-03 0.25 0.3 504.0 4979.52 75.60 39062.5 56250 139.508928571 200.8928571C-04 2-2 0.25 0.3 504.0 63.00 1864.80 39062.5 56250 139.508928571 200.8928571C-05 0.25 0.3 504.0 2520.00 1864.80 39062.5 56250 139.508928571 200.8928571C-06 0.25 0.3 504.0 4979.52 1864.80 39062.5 56250 139.508928571 200.8928571C-07 3-3 0.25 0.3 504.0 63.00 3780.00 39062.5 56250 139.508928571 200.8928571C-08 0.25 0.3 504.0 2520.00 3780.00 39062.5 56250 139.508928571 200.8928571C-09 0.25 0.3 504.0 4979.52 3780.00 39062.5 56250 139.508928571 200.8928571C-10 4-4 0.25 0.3 504.0 63.00 5947.20 39062.5 56250 139.508928571 200.8928571C-11 0.25 0.3 504.0 2520.00 5947.20 39062.5 56250 139.508928571 200.8928571C-12 0.25 0.3 504.0 4979.52 5947.20 39062.5 56250 139.508928571 200.8928571C-13 5-5 0.25 0.3 504.0 63.00 7963.20 39062.5 56250 139.508928571 200.8928571C-14 0.25 0.3 504.0 2520.00 7963.20 39062.5 56250 139.508928571 200.8928571C-15 0.25 0.3 504.0 4979.52 7963.20 39062.5 56250 139.508928571 200.8928571C-16 6-6 0.25 0.3 504.0 63.00 10004.40 39062.5 56250 139.508928571 200.8928571C-17 0.25 0.3 504.0 2520.00 10004.40 39062.5 56250 139.508928571 200.8928571C-18 0.25 0.3 504.0 4979.52 10004.40 39062.5 56250 139.508928571 200.8928571Σ = 9072.0 45375.12 88905.60

Xg = 5.00Yg = 9.80

COLUMNAS - Tercer NivelNom Eje Dimensiones P P*x P*Y Ix Iy Kcx Kcy

x (m) y (m) (kg) (cm4) (cm4) (cm3) (cm3)C-01 1-1 0.25 0.3 504.0 63.00 75.60 39062.5 56250 139.508928571 200.8928571C-02 0.25 0.3 504.0 2520.00 75.60 39062.5 56250 139.508928571 200.8928571C-03 0.25 0.3 504.0 4979.52 75.60 39062.5 56250 139.508928571 200.8928571C-04 2-2 0.25 0.3 504.0 63.00 1864.80 39062.5 56250 139.508928571 200.8928571C-05 0.25 0.3 504.0 2520.00 1864.80 39062.5 56250 139.508928571 200.8928571C-06 0.25 0.3 504.0 4979.52 1864.80 39062.5 56250 139.508928571 200.8928571

C-07 3-3 0.25 0.3 504.0 63.00 3780.00 39062.5 56250 139.508928571 200.8928571C-08 0.25 0.3 504.0 2520.00 3780.00 39062.5 56250 139.508928571 200.8928571C-09 0.25 0.3 504.0 4979.52 3780.00 39062.5 56250 139.508928571 200.8928571C-10 4-4 0.25 0.3 504.0 63.00 5947.20 39062.5 56250 139.508928571 200.8928571C-11 0.25 0.3 504.0 2520.00 5947.20 39062.5 56250 139.508928571 200.8928571C-12 0.25 0.3 504.0 4979.52 5947.20 39062.5 56250 139.508928571 200.8928571C-13 5-5 0.25 0.3 504.0 63.00 7963.20 39062.5 56250 139.508928571 200.8928571C-14 0.25 0.3 504.0 2520.00 7963.20 39062.5 56250 139.508928571 200.8928571C-15 0.25 0.3 504.0 4979.52 7963.20 39062.5 56250 139.508928571 200.8928571C-16 6-6 0.25 0.3 504.0 63.00 10004.40 39062.5 56250 139.508928571 200.8928571C-17 0.25 0.3 504.0 2520.00 10004.40 39062.5 56250 139.508928571 200.8928571C-18 0.25 0.3 504.0 4979.52 10004.40 39062.5 56250 139.508928571 200.8928571Σ = 9072.0 45375.12 88905.60

Xg = 5.00Yg = 9.80

COLUMNAS - Cuarto NivelNom Eje Dimensiones P P*x P*Y Ix Iy Kcx Kcy

x (m) y (m) (kg) (cm4) (cm4) (cm3) (cm3)C-01 1-1 0.25 0.3 252.0 31.50 37.80 56250 39062.5 200.892857143 139.5089286C-02 0.25 0.3 252.0 1260.00 37.80 56250 39062.5 200.892857143 139.5089286C-03 0.25 0.3 252.0 2489.76 37.80 56250 39062.5 200.892857143 139.5089286C-04 2-2 0.25 0.3 252.0 31.50 932.40 56250 39062.5 200.892857143 139.5089286C-05 0.25 0.3 252.0 1260.00 932.40 56250 39062.5 200.892857143 139.5089286C-06 0.25 0.3 252.0 2489.76 932.40 56250 39062.5 200.892857143 139.5089286C-07 3-3 0.25 0.3 252.0 31.50 1890.00 56250 39062.5 200.892857143 139.5089286C-08 0.25 0.3 252.0 1260.00 1890.00 56250 39062.5 200.892857143 139.5089286C-09 0.25 0.3 252.0 2489.76 1890.00 56250 39062.5 200.892857143 139.5089286C-10 4-4 0.25 0.3 252.0 31.50 2973.60 56250 39062.5 200.892857143 139.5089286C-11 0.25 0.3 252.0 1260.00 2973.60 56250 39062.5 200.892857143 139.5089286C-12 0.25 0.3 252.0 2489.76 2973.60 56250 39062.5 200.892857143 139.5089286C-13 5-5 0.25 0.3 252.0 31.50 3981.60 56250 39062.5 200.892857143 139.5089286C-14 0.25 0.3 252.0 1260.00 3981.60 56250 39062.5 200.892857143 139.5089286C-15 0.25 0.3 252.0 2489.76 3981.60 56250 39062.5 200.892857143 139.5089286C-16 6-6 0.25 0.3 252.0 31.50 5002.20 56250 39062.5 200.892857143 139.5089286C-17 0.25 0.3 252.0 1260.00 5002.20 56250 39062.5 200.892857143 139.5089286C-18 0.25 0.3 252.0 2489.76 5002.20 56250 39062.5 200.892857143 139.5089286Σ = 4536.0 22687.56 44452.80

Xg = 5.00Yg = 9.80

Datos:

V x = 0.25 0.4 V y = 0.25 0.55 Pm = 1350 h tip = 2.8


(m) x(m) y(m) x(m) y(m) (m) (kg) (m) (m)



Σ = 25849.13 69.89 137.30 129033.7 258135.86Xg = 4.99Yg = 9.99


(m) x(m) y(m) x(m) y(m) (m) (kg) (m) (m)



Σ = 25849.13 69.89 137.30 129033.7 258135.86Xg = 4.99Yg = 9.99


(m) x(m) y(m) x(m) y(m) (m) (kg) (m) (m)



Σ = 25849.13 69.89 137.30 129033.7 258135.86Xg = 4.99Yg = 9.99


(m) x(m) y(m) x(m) y(m) (m) (kg) (m) (m)


muro6 0.15 0.25 19.85 4.88 19.85 4.63 0 2250.18 2.57 19.85 5771.71 44666.07muro7 0.15 5.13 19.85 9.75 19.85 4.62 0 2245.32 7.44 19.85 16705.18 44569.60muro8 0.15 9.85 15.95 9.85 19.7 3.75 90 1708.59 9.85 17.83 16829.65 30455.68muro9 0.15 9.85 11.95 9.85 15.65 3.70 90 1685.81 9.85 13.80 16605.25 23264.21


Σ = 25849.13 69.89 137.30 129033.7 258135.86Xg = 4.99Yg = 9.99

DIRECCION X -X

VIGAS ( PRIMER NIVEL )VIGAS PRINCIPALES


b L h

1-1 A-B 0.25 4.63 0.45 1248.75 0.150 187.3125

B-C 0.25 4.63 0.45 1248.75 0.150 187.3125

2-2 A-B 0.25 4.63 0.45 1248.75 3.700 4620.375

B-C 0.25 4.63 0.45 1248.75 3.700 4620.375

3-3 A-B 0.25 4.63 0.45 1248.75 7.500 9365.625

B-C 0.25 4.63 0.45 1248.75 7.500 9365.625

4-4 A-B 0.25 4.63 0.45 1248.75 11.800 14735.25

B-C 0.25 4.63 0.45 1248.75 11.800 14735.25

5-5 A-B 0.25 4.63 0.45 1248.75 15.800 19730.25

B-C 0.25 4.63 0.45 1248.75 15.800 19730.25

6-6 A-B 0.25 4.63 0.45 1248.75 19.850 24787.6875

B-C 0.25 4.63 0.45 1248.75 19.8500 24787.6875

Σ = 14985.00 146853

Yg = 9.80

VIGAS ( SEGUNDO NIVEL )VIGAS PRINCIPALES


b L h

1-1 A-B 0.25 4.63 0.45 1248.75 0.150 187.3125

B-C 0.25 4.63 0.45 1248.75 0.150 187.3125

2-2 A-B 0.25 4.63 0.45 1248.75 3.700 4620.375

B-C 0.25 4.63 0.45 1248.75 3.700 4620.375

3-3 A-B 0.25 4.63 0.45 1248.75 7.500 9365.625

B-C 0.25 4.63 0.45 1248.75 7.500 9365.625

4-4 A-B 0.25 4.63 0.45 1248.75 11.800 14735.25

B-C 0.25 4.63 0.45 1248.75 11.800 14735.25

5-5 A-B 0.25 4.63 0.45 1248.75 15.800 19730.25

B-C 0.25 4.63 0.45 1248.75 15.800 19730.25

6-6 A-B 0.25 4.63 0.45 1248.75 19.850 24787.6875

B-C 0.25 4.63 0.45 1248.75 19.8500 24787.6875

Σ = 14985.00 146853

Yg = 9.80

VIGAS ( TERCER NIVEL )VIGAS PRINCIPALES


b L h

1-1 A-B 0.25 4.63 0.45 1248.75 0.150 187.3125

B-C 0.25 4.63 0.45 1248.75 0.150 187.3125

2-2 A-B 0.25 4.63 0.45 1248.75 3.700 4620.375

B-C 0.25 4.63 0.45 1248.75 3.700 4620.375

D557

OSITO:

3-3 A-B 0.25 4.63 0.45 1248.75 7.500 9365.625

B-C 0.25 4.63 0.45 1248.75 7.500 9365.625

4-4 A-B 0.25 4.63 0.45 1248.75 11.800 14735.25

B-C 0.25 4.63 0.45 1248.75 11.800 14735.25

5-5 A-B 0.25 4.63 0.45 1248.75 15.800 19730.25

B-C 0.25 4.63 0.45 1248.75 15.800 19730.25

6-6 A-B 0.25 4.63 0.45 1248.75 19.850 24787.6875

B-C 0.25 4.63 0.45 1248.75 19.8500 24787.6875

Σ = 14985.00 146853

Yg = 9.80

VIGAS ( CUARTO NIVEL )VIGAS PRINCIPALES


b L h

1-1 A-B 0.25 4.63 0.45 1248.75 0.150 187.3125

B-C 0.25 4.63 0.45 1248.75 0.150 187.3125

2-2 A-B 0.25 4.63 0.45 1248.75 3.700 4620.375

B-C 0.25 4.63 0.45 1248.75 3.700 4620.375

3-3 A-B 0.25 4.63 0.45 1248.75 7.500 9365.625

B-C 0.25 4.63 0.45 1248.75 7.500 9365.625

4-4 A-B 0.25 4.63 0.45 1248.75 11.800 14735.25

B-C 0.25 4.63 0.45 1248.75 11.800 14735.25

5-5 A-B 0.25 4.63 0.45 1248.75 15.800 19730.25

B-C 0.25 4.63 0.45 1248.75 15.800 19730.25

6-6 A-B 0.25 4.63 0.45 1248.75 19.850 24787.6875

B-C 0.25 4.63 0.45 1248.75 19.8500 24787.6875

Σ = 14985.00 146853

Yg = 9.80

DIRECCION Y-Y

VIGAS ( PRIMER NIVEL )VIGAS SECUNDARIAS


A-A 1-2. 0.25 3.25 0.40 780.00 0.125 97.5

2-3. 0.25 3.50 0.40 840.00 0.125 105

3-4. 0.25 4.30 0.40 1032.00 0.125 129

4-5. 0.25 3.70 0.40 888.00 0.125 111

5-6. 0.25 3.75 0.40 900.00 0.125 112.5B-B 1-2. 0.25 3.25 0.40 780.00 5 3900

2-3. 0.25 3.50 0.40 840.00 5 4200

3-4. 0.25 4.30 0.40 1032.00 5 5160

4-5. 0.25 3.70 0.40 888.00 5 4440

5-6. 0.25 3.75 0.40 900.00 5 4500

C-C 1-2. 0.25 3.25 0.40 780.00 9.88 7706.4

2-3. 0.25 3.50 0.40 840.00 9.88 8299.2

3-4. 0.25 4.30 0.40 1032.00 9.88 10196.16

4-5. 0.25 3.70 0.40 888.00 9.88 8773.44

5-6. 0.25 3.75 0.40 900.00 9.88 8892

Σ = 13320.00 66622.2

Xg = 5.00

VIGAS ( SEGUNDO NIVEL )VIGAS SECUNDARIAS


A-A 1-2. 0.25 3.25 0.40 780.00 0.125 97.5

2-3. 0.25 3.50 0.40 840.00 0.125 105

3-4. 0.25 4.30 0.40 1032.00 0.125 129

4-5. 0.25 3.70 0.40 888.00 0.125 111

5-6. 0.25 3.75 0.40 900.00 0.125 112.5B-B 1-2. 0.25 3.25 0.40 780.00 5 3900

2-3. 0.25 3.50 0.40 840.00 5 4200

3-4. 0.25 4.30 0.40 1032.00 5 5160

4-5. 0.25 3.70 0.40 888.00 5 4440

5-6. 0.25 3.75 0.40 900.00 5 4500

C-C 1-2. 0.25 3.25 0.40 780.00 9.88 7706.4

2-3. 0.25 3.50 0.40 840.00 9.88 8299.2

3-4. 0.25 4.30 0.40 1032.00 9.88 10196.16

4-5. 0.25 3.70 0.40 888.00 9.88 8773.44

5-6. 0.25 3.75 0.40 900.00 9.88 8892

Σ = 13320.00 66622.2

Xg = 5.00

VIGAS ( TERCER NIVEL )VIGAS SECUNDARIAS


A-A 1-2. 0.25 3.25 0.40 780.00 0.125 97.5

2-3. 0.25 3.50 0.40 840.00 0.125 105

3-4. 0.25 4.30 0.40 1032.00 0.125 129

4-5. 0.25 3.70 0.40 888.00 0.125 111

5-6. 0.25 3.75 0.40 900.00 0.125 112.5B-B 1-2. 0.25 3.25 0.40 780.00 5 3900

2-3. 0.25 3.50 0.40 840.00 5 4200

3-4. 0.25 4.30 0.40 1032.00 5 5160

4-5. 0.25 3.70 0.40 888.00 5 4440

5-6. 0.25 3.75 0.40 900.00 5 4500

C-C 1-2. 0.25 3.25 0.40 780.00 9.88 7706.4

2-3. 0.25 3.50 0.40 840.00 9.88 8299.2

3-4. 0.25 4.30 0.40 1032.00 9.88 10196.16

4-5. 0.25 3.70 0.40 888.00 9.88 8773.44

5-6. 0.25 3.75 0.40 900.00 9.88 8892

Σ = 13320.00 66622.2

Xg = 5.00

VIGAS ( CUARTO NIVEL )VIGAS SECUNDARIAS


A-A 1-2. 0.25 3.25 0.40 780.00 0.125 97.5

2-3. 0.25 3.50 0.40 840.00 0.125 105

3-4. 0.25 4.30 0.40 1032.00 0.125 129

4-5. 0.25 3.70 0.40 888.00 0.125 111

5-6. 0.25 3.75 0.40 900.00 0.125 112.5B-B 1-2. 0.25 3.25 0.40 780.00 5 3900

2-3. 0.25 3.50 0.40 840.00 5 4200

3-4. 0.25 4.30 0.40 1032.00 5 5160

4-5. 0.25 3.70 0.40 888.00 5 4440

5-6. 0.25 3.75 0.40 900.00 5 4500

C-C 1-2. 0.25 3.25 0.40 780.00 9.88 7706.4

2-3. 0.25 3.50 0.40 840.00 9.88 8299.2

3-4. 0.25 4.30 0.40 1032.00 9.88 10196.16

4-5. 0.25 3.70 0.40 888.00 9.88 8773.44

5-6. 0.25 3.75 0.40 900.00 9.88 8892

Σ = 13320.00 66622.2

Xg = 5.00

CALCULO DEL CENTRO DE MASA :

PRIMER NIVEL: SEGUNDO NIVEL:


TERCER NIVEL: CUARTO NIVEL:


RESUMEN POR PLANTA

Primer Nivel Segundo Nivel Tercer Nivel Cuarto Nivel

Area de Losa Area de Losa Area de Losa Area de LosaA = 192.368 A = 192.3675 A = 192.3675 A = 192.3675

Centro Geometrico Centro Geometrico Centro Geometrico Centro GeometricoXg= 5.16 Xg= 5.16 Xg= 5.16 Xg= 5.16Yg= 10.33 Yg= 10.33 Yg= 10.33 Yg= 10.33Centro de Masa Centro de Masa Centro de Masa Centro de Masa

Xm= 5.11 Xm= 5.11 Xm= 5.11 Xm= 5.11Ym= 10.20 Ym= 10.20 Ym= 10.20 Ym= 10.19

Ejes Originales Ejes Originales Ejes Originales Ejes OriginalesIx= 26634.60 Ix= 26634.60 Ix= 26634.60 Ix= 26634.60Iy= 166655.45 Iy= 166655.45 Iy= 166655.45 Iy= 166655.45Ejes Baricentricos Ejes Baricentricos Ejes Baricentricos Ejes BaricentricosIxc= 6121.82 Ixc= 6121.82 Ixc= 6121.82 Ixc= 6121.82Iyc= 161542.02 Iyc= 161542.02 Iyc= 161542.02 Iyc= 161542.02J= 167663.84 J= 167663.84 J= 167663.84 J= 167663.84

Altura de Entrepiso Altura de Entrepiso Altura de Entrepiso Altura de EntrepisoH= 2.8 H= 2.8 H= 2.8 H= 2.8

Determinacion del Centro de Rigidez

PortPrimer Piso

PortSegundo Piso

Kx y Kx*y Kx y Kx*y1 13.16 0.15 1.974 1 10.87 0.15 1.6302 13.16 3.70 48.701 2 10.87 3.70 40.2043 13.16 7.50 98.718 3 10.87 7.50 81.4954 13.16 11.80 155.317 4 10.87 11.80 128.2195 13.16 15.80 207.967 5 10.87 15.80 171.6836 13.16 19.85 261.275 6 10.87 19.85 215.691

Σ= 78.97 773.953 Σ= 65.20 638.923Yr = 9.80 Yr = 9.80Ym = 10.20 Ym = 10.20

e= -0.40 e= -0.40Port Tercer Piso Port Cuarto Piso

Kx y Kx*y Kx y Kx*y1 10.87 0.15 1.630 1 10.87 0.15 1.6302 10.87 3.70 40.204 2 10.87 3.70 40.2043 10.87 7.50 81.495 3 10.87 7.50 81.4954 10.87 11.80 128.219 4 10.87 11.80 128.2195 10.87 15.80 171.683 5 10.87 15.80 171.6836 10.87 19.85 215.691 6 10.87 19.85 215.691

Σ= 65.20 638.923 Σ= 65.20 638.923Yr = 9.80 Yr = 9.8Ym = 10.20 Ym = 10.19

e= -0.40 e= -0.39

Determinacion de los Momentos de Torsion en la direccion X-X

Nivel Vx Ly esy eaccy Mt´x Mt´´x4 38.26 20 -0.39 1.00 23.27 -53.243 77.26 20 -0.40 1.00 46.16 -108.372 103.27 20 -0.40 1.00 61.69 -144.841 116.27 20 -0.40 1.00 69.46 -163.07

Determinacion del Centro de Rigidez

PortPrimer Piso Port Segundo Piso

Ky x Ky*x Ky x Ky*xA 20.59 0.125 2.574 A 18.17 0.125 2.271B 20.59 5 102.951 B 18.17 5 90.852C 20.59 9.88 203.431 C 18.17 9.88 179.523Σ= 61.77 308.956 Σ= 54.51 272.646

Xr = 5.00 Xr = 5.00Xm = 5.11 Xm = 5.11

e= -0.11 e= -0.11Port Tercer Piso Port Cuarto Piso

Ky x Ky*x Ky x Ky*xA 18.17 0.125 2.271 A 18.17 0.125 2.271B 18.17 5 90.852 B 18.17 5 90.852C 18.17 9.88 179.523 C 18.17 9.88 179.523Σ= 54.51 272.646 Σ= 54.51 272.646

Xr = 5.00 Xr = 5.00Xm = 5.11 Xm = 5.11

e= -0.11 e= -0.11

Determinacion de los Momentos de Torsion en la direccion Y-Y

Nivel Vy Lx esy eaccy Mtý Mt´ý4 38.26 10 -0.11 0.50 14.95 -23.313 77.26 10 -0.11 0.50 30.19 -47.082 103.27 10 -0.11 0.50 40.35 -62.921 116.27 10 -0.11 0.50 45.43 -70.84

Determinacion de la fuerza Cortante por Torsión X - X Determinacion de la Fuerza Cortante Por Torsion Y - Y

Port Primer Piso

Kx y´ y´*Kx V´tx V´´tx Port Primer Piso

1 - 1 13.16 9.65 127.02 1225.72 0.640 -1.464 Ky x´ x´*Ky V´ty V´´ty2 - 2 13.16 6.10 80.29 489.78 0.404 -0.925 A - A 20.59 4.88 100.41 489.67 0.325 -0.5073 - 3 13.16 2.30 30.27 69.63 0.152 -0.349 B -B 20.59 0.00 0.03 0.00 0.000 0.0004 - 4 13.16 -2.00 -26.32 52.65 -0.133 0.303 C - C 20.59 -4.88 -100.45 490.01 -0.325 0.5075 - 5 13.16 -6.00 -78.97 473.85 -0.398 0.9106 - 6 13.16 -10.05 -132.28 1329.44 -0.666 1.524 Mtý = 14.95 Mt´ý = -23.31

Mt´x = 23.27 Mt´´x = -53.24Port

Segundo Piso

Ky x´ x´*Ky V´ty V´´tyPort Segundo Piso A - A 18.17 4.88 88.61 432.13 0.691 -1.078

Kx y´ y´*Kx V´tx V´´tx B -B 18.17 0.00 0.03 0.00 0.000 0.0001 - 1 10.87 9.65 104.86 1011.87 1.251 -2.936 C - C 18.17 -4.88 -88.64 432.42 -0.691 1.0782 - 2 10.87 6.10 66.28 404.33 0.790 -1.8563 - 3 10.87 2.30 24.99 57.48 0.298 -0.700 Mtý = 30.19 Mt´ý = -47.084 - 4 10.87 -2.00 -21.73 43.46 -0.259 0.6085 - 5 10.87 -6.00 -65.20 391.18 -0.778 1.8256 - 6 10.87 -10.05 -109.20 1097.50 -1.302 3.058

PortTercer Piso

(y´)2*Kx

(x´)2*Ky

(x´)2*Ky

(y´)2*Kx

PortKy x´ x´*Ky V´ty V´´ty

A - A 18.17 4.88 88.61 432.13 0.924 -1.440Mt´x = 46.16 Mt´´x = -108.37 B -B 18.17 0.00 0.03 0.00 0.000 0.000

C - C 18.17 -4.88 -88.64 432.42 -0.924 1.441Port Tercer Piso

Kx y´ y´*Kx V´tx V´´tx Mtý = 40.35 Mt´ý = -62.921 - 1 10.87 9.65 104.86 1011.87 0.154 -3.9242 - 2 10.87 6.10 66.28 404.33 0.097 -2.4803 - 3 10.87 2.30 24.99 57.48 0.037 -0.935

PortCuarto Piso

4 - 4 10.87 -2.00 -21.73 43.46 -0.032 0.813 Ky x´ x´*Ky V´ty V´´ty5 - 5 10.87 -6.00 -65.20 391.18 -0.096 2.440 A - A 18.17 4.88 88.61 432.13 1.040 -1.6226 - 6 10.87 -10.05 -109.20 1097.50 -0.160 4.087 B -B 18.17 0.00 0.03 0.00 0.000 -0.001

C - C 18.17 -4.88 -88.64 432.42 -1.040 1.622

Mt´x = 61.69 Mt´´x = -144.84 Mtý = 45.43 Mt´ý = -70.84

Port Cuarto Piso

Kx y´ y´*Kx V´tx V´´tx Nivel1 - 1 10.87 9.65 104.86 1011.87 1.882 -4.418 4 3005.819 864.55 3870.372 - 2 10.87 6.10 66.28 404.33 1.190 -2.793 3 3005.82 864.55 3870.373 - 3 10.87 2.30 24.99 57.48 0.449 -1.053 2 3005.82 864.55 3870.37

4 - 4 10.87 -2.00 -21.73 43.46 -0.390 0.916 1 3641.07 979.68 4620.755 - 5 10.87 -6.00 -65.20 391.18 -1.170 2.7476 - 6 10.87 -10.05 -109.20 1097.50 -1.960 4.601

Mt´x = 69.46 Mt´´x = -163.07

Resumen de Cortante Por Ejes - Sist Dual

Port Primer Nivel Segundo NivelK Vtras Vtor Vtotal K Vtras Vtor Vtotal

1 - 1 13.162 19.378 0.640 20.018 10.866 17.211 1.251 18.4612 - 2 13.162 19.378 0.404 19.782 10.866 17.211 0.790 18.0013 - 3 13.162 19.378 0.152 19.530 10.866 17.211 0.298 17.5094 - 4 13.162 19.378 0.303 19.681 10.866 17.211 0.608 17.8195 - 5 13.162 19.378 0.910 20.288 10.866 17.211 1.825 19.0366 - 6 13.162 19.378 1.524 20.902 10.866 17.211 3.058 20.268

A - A 20.590 38.756 0.325 39.080 18.170 34.422 0.691 35.113B -B 20.590 38.756 0.000 38.755 18.170 34.422 0.000 34.421C - C 20.590 38.756 0.507 39.262 18.170 34.422 1.078 35.500

Port Tercer Nivel Cuarto NivelK Vtras Vtor Vtotal K Vtras Vtor Vtotal

1 - 1 10.866 12.877 3.924 16.801 10.866 6.376 1.882 8.2582 - 2 10.866 12.877 2.480 15.358 10.866 6.376 1.190 7.5663 - 3 10.866 12.877 0.935 13.812 10.866 6.376 0.449 6.8254 - 4 10.866 12.877 0.813 13.690 10.866 6.376 0.390 6.7665 - 5 10.866 12.877 2.440 15.317 10.866 6.376 1.170 7.5466 - 6 10.866 12.877 4.087 16.964 10.866 6.376 1.960 8.336

A - A 18.170 25.754 0.924 26.678 18.170 12.753 0.000 12.753 13.925B -B 18.170 25.754 0.000 25.754 18.170 12.753 0.000 12.753 13.001C - C 18.170 25.754 1.441 27.195 18.170 12.753 0.001 12.753 14.442

(x´)2*Ky

(y´)2*Kx

(x´)2*Ky

(y´)2*Kx (y´)2*Kx (x´)2*Ky (y´)2*Kx + (x´)2*Ky

Distribucion de las Cargas Estaticas y Deformaciones Laterales

EJES X - X 8.325 R= 8Portico 1-1 ht = 280

8.258 K Q Δr *3/4*R ΔL Distorsion

10.866 8.258 4.560 33.156 0.016

8.543

10.866 16.801 9.277 28.596 0.033

1.660

10.866 18.461 10.194 19.319 0.036

1.556

13.162 20.018 9.125 9.125 0.033

Portico 2-2


10.866 7.566 4.178 31.615 0.015

7.792

10.866 15.358 8.480 27.438 0.030

2.644

10.866 18.001 9.940 18.958 0.035

1.781

13.162 19.782 9.018 9.018 0.032

Portico 3-3


10.866 6.825 3.769 29.966 0.013

6.987

10.866 13.812 7.627 26.198 0.027

3.697

10.866 17.509 9.668 18.571 0.035

2.021

13.162 19.530 8.903 8.903 0.032

Portico 4-4


10.866 6.766 3.736 30.107 0.013

6.924

10.866 13.690 7.560 26.370 0.027

4.129

10.866 17.819 9.839 18.811 0.035

1.862

13.162 19.681 8.971 8.971 0.032

Portico 5-5


10.866 7.546 4.167 32.384 0.015

7.770

10.866 15.317 8.458 28.217 0.030

3.719

10.866 19.036 10.511 19.759 0.038

1.251

13.162 20.288 9.248 9.248 0.033

Portico 6-6


10.866 8.336 4.603 34.690 0.016

8.627

10.866 16.964 9.367 30.087 0.033

3.305

10.866 20.268 11.192 20.720 0.040

10.866 20.268 11.192 20.720 0.040

0.634

13.162 20.902 9.528 9.528 0.034

EJES Y - Y R= 8Portico A-A H1 = HT = 280


18.170 12.753 4.211 36.003 0.015

13.925

18.170 26.678 8.809 31.792 0.031

8.435

18.170 35.113 11.595 22.983 0.041

3.967

20.590 39.080 11.388 11.388 0.041

Portico B-B


18.170 12.753 4.211 35.375 0.015

13.001

18.170 25.754 8.504 31.164 0.030

18.170 25.754 8.504 31.164 0.030

8.667

18.170 34.421 11.366 22.660 0.041

4.334

20.590 38.755 11.293 11.293 0.040

Portico C-C


18.170 12.753 4.211 36.355 0.015

14.442

18.170 27.195 8.980 32.143 0.032

8.305

18.170 35.500 11.722 23.163 0.042

3.762

20.590 39.262 11.441 11.441 0.041

GLOBAL X-X


65.196 38.258 3.521 28.968 0.013

39.004

65.196 77.263 7.110 25.447 0.025

26.003

65.196 103.265 9.503 18.337 0.034

13.001

78.975 116.267 8.833 8.833 0.032

X - X

Distorsiones38.258 K Maximo Global

65.196 0.016 0.013

39.004

65.196 0.016 0.013

65.196 0.033 0.025

26.003

65.196 0.040 0.034

13.001

78.975 0.034 0.032

Y - Y

Distorsiones0.000 K Maximo Global

0.000 0.015 0.013

0.000

0.000 0.032 0.025

0.000

0.000 0.042 0.034

0.000

0.000 0.041 0.032

analisis estatico de edificaciÓn de 4 niveles ubicado en la ciudad de chiclayo

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