analisis centro de masas

18
Jesús Eduardo Canuto Cruz Osvaldo Ortigoza Silva Elemento Sección (m) Longitud Ancho Área Volumen b h (m) (m) Losa Tab-1 8 6 48 Tab-2 8 6 48 Tab-3 8 6 48 Tab-4 8 6 48 Tab-5 8 6 48 Tab- 6 8 6 48 Trab Trabe Eje1 (A-B) 0.3 0.75 7.4 1.665 Trabe Eje1 (B-C) 0.3 0.75 7.6 1.71 Trabe Eje 1(C-D) 0.3 0.75 7.4 1.665 Trabe Eje 2(A-B) 0.3 0.75 7.4 1.665 Trabe Eje 2(B-C) 0.3 0.75 7.6 1.71 Trabe Eje 2(C-D) 0.3 0.75 7.4 1.665 Trabe Eje 3(A-B) 0.3 0.75 7.4 1.665 Trabe Eje 3(B-C) 0.3 0.75 7.6 1.71 Trabe Eje 3(C-D) 0.3 0.75 7.4 1.665 Trabe Eje A(1-2) 0.25 0.6 5.4 0.81 Trabe Eje A(2-3) 0.25 0.6 5.4 0.81 Trabe Eje B(1-2) 0.25 0.6 5.4 0.81 Trabe Eje B(2-3) 0.25 0.6 5.4 0.81 Trabe Eje C(1-2) 0.25 0.6 5.4 0.81 Trabe Eje C(2-3) 0.25 0.6 5.4 0.81 Trabe Eje D(1-2) 0.25 0.6 5.4 0.81 Trabe Eje D(2-3) 0.25 0.6 5.4 0.81 (m²) (m³)

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Jesús Eduardo Canuto CruzOsvaldo Ortigoza Silva

Elemento Sección (m) Longitud Ancho Área Volumenb h (m) (m)

LosasTab-1 8 6 48Tab-2 8 6 48Tab-3 8 6 48Tab-4 8 6 48Tab-5 8 6 48Tab- 6 8 6 48

TrabesTrabe Eje1 (A-B) 0.3 0.75 7.4 1.665Trabe Eje1 (B-C) 0.3 0.75 7.6 1.71Trabe Eje 1(C-D) 0.3 0.75 7.4 1.665Trabe Eje 2(A-B) 0.3 0.75 7.4 1.665Trabe Eje 2(B-C) 0.3 0.75 7.6 1.71Trabe Eje 2(C-D) 0.3 0.75 7.4 1.665Trabe Eje 3(A-B) 0.3 0.75 7.4 1.665Trabe Eje 3(B-C) 0.3 0.75 7.6 1.71Trabe Eje 3(C-D) 0.3 0.75 7.4 1.665Trabe Eje A(1-2) 0.25 0.6 5.4 0.81Trabe Eje A(2-3) 0.25 0.6 5.4 0.81Trabe Eje B(1-2) 0.25 0.6 5.4 0.81Trabe Eje B(2-3) 0.25 0.6 5.4 0.81Trabe Eje C(1-2) 0.25 0.6 5.4 0.81Trabe Eje C(2-3) 0.25 0.6 5.4 0.81Trabe Eje D(1-2) 0.25 0.6 5.4 0.81Trabe Eje D(2-3) 0.25 0.6 5.4 0.81

(m²) (m³)

Jesús Eduardo Canuto CruzOsvaldo Ortigoza Silva

ColumnasC1 0.4 0.4 1.5 0.24C2 0.4 0.4 1.5 0.24C3 0.4 0.4 1.5 0.24C4 0.4 0.4 1.5 0.24C5 0.4 0.4 1.5 0.24C6 0.4 0.4 1.5 0.24C7 0.4 0.4 1.5 0.24C8 0.4 0.4 1.5 0.24C9 0.4 0.4 1.5 0.24

C10 0.4 0.4 1.5 0.24C11 0.4 0.4 1.5 0.24C12 0.4 0.4 1.5 0.24

MurosMuro Eje 1(A-B) 0.12 7.4 1.3 1.1544Muro Eje 1(B-C) 0.12 7.6 1.3 1.1856Muro Eje 1(C-D) 0.12 7.4 1.3 1.1544Muro Eje 3(A-B) 0.12 7.4 1.3 1.1544Muro Eje 3(B-C) 0.12 7.6 1.3 1.1856Muro Eje 3(C-D) 0.12 7.4 1.3 1.1544Muro Eje A(1-2) 0.12 5.4 1.3 0.8424Muro Eje A(2-3) 0.12 5.4 1.3 0.8424Muro Eje A(1-2) 0.12 5.4 1.3 0.8424Muro Eje A(2-3) 0.12 5.4 1.3 0.8424

Jesús Eduardo Canuto CruzOsvaldo Ortigoza Silva

Carga Muerta Peso Vol. Peso Elemento x y Centro de MasasWcm (kg) (m) (m) (x Wcm) (y Wcm)

Losas640 35520 4 9 142080.00 319680.00640 35520 12 9 426240.00 319680.00640 35520 20 9 710400.00 319680.00640 35520 4 3 142080.00 106560.00640 35520 12 3 426240.00 106560.00640 35520 20 3 710400.00 106560.00

Trabes2400 3996 4.1 0.2 16383.60 799.22400 4104 11.8 0.2 48427.20 820.82400 3996 19.7 0.2 78721.20 799.22400 3996 4.1 6 16383.60 239762400 4104 11.8 6 48427.20 246242400 3996 19.7 6 78721.20 239762400 3996 4.1 11.8 16383.60 47152.82400 4104 11.8 11.8 48427.20 48427.22400 3996 19.7 11.8 78721.20 47152.82400 1944 0.2 3.1 388.80 6026.42400 1944 0.2 8.7 388.80 16912.82400 1944 8 3.1 15552.00 6026.42400 1944 8 8.7 15552.00 16912.82400 1944 16 3.1 31104.00 6026.42400 1944 16 8.7 31104.00 16912.82400 1944 23.8 3.1 46267.20 6026.42400 1944 23.8 8.7 46267.20 16912.8

(kg/m²) (kg/m³)

Jesús Eduardo Canuto CruzOsvaldo Ortigoza Silva

Columnas2400 576 0.2 11.8 115.2 6796.82400 576 8 11.8 4608 6796.82400 576 16 11.8 9216 6796.82400 576 23.8 11.8 13708.8 6796.82400 576 0.2 6 115.2 34562400 576 8 6 4608 34562400 576 16 6 9216 34562400 576 23.8 6 13708.8 34562400 576 0.2 0.2 115.2 115.22400 576 8 0.2 4608 115.22400 576 16 0.2 9216 115.22400 576 23.8 0.2 13708.8 115.2

Muros1700 1962.48 0.06 12.325 117.7488 24187.5661700 2015.52 0.06 7.5 120.9312 15116.41700 1962.48 0.06 2.675 117.7488 5249.6341700 1962.48 0.06 12.325 117.7488 24187.5661700 2015.52 0.06 7.5 120.9312 15116.41700 1962.48 0.06 2.675 117.7488 5249.6341700 1432.08 0.06 7.5 85.9248 10740.61700 1432.08 0.06 2.675 85.9248 3830.8141700 1432.08 0.06 7.5 85.9248 10740.61700 1432.08 0.06 2.675 85.9248 3830.814

Ʃ = 289481.28 Ʃ = 3258660.56 1747926.83

x = 11.257 my = 6.038 m

Nivel 3

Jesús Eduardo Canuto CruzOsvaldo Ortigoza Silva

Calculando Rigideces a Ejes:I K

1054687.5 1425.253381054687.5 1387.746711054687.5 1425.253381054687.5 1425.253381054687.5 1387.746711054687.5 1425.253381054687.5 1425.253381054687.5 1387.746711054687.5 1425.25338

450000 833.333333450000 833.333333450000 833.333333450000 833.333333450000 833.333333450000 833.333333450000 833.333333450000 833.333333

cm⁴ cm³

Jesús Eduardo Canuto CruzOsvaldo Ortigoza Silva

213333.333 609.52381213333.333 609.52381213333.333 609.52381213333.333 609.52381213333.333 609.52381213333.333 609.52381213333.333 609.52381213333.333 609.52381213333.333 609.52381213333.333 609.52381213333.333 609.52381213333.333 609.52381

cm⁴ cm³

Jesús Eduardo Canuto CruzOsvaldo Ortigoza Silva

Elemento Sección (m) Longitud Ancho Área Volumenb h (m) (m)

LosasTab-1 8 6 48Tab-2 8 6 48Tab-3 8 6 48Tab-4 8 6 48Tab-5 8 6 48Tab- 6 8 6 48

TrabesTrabe Eje1 (A-B) 0.3 0.75 7.4 1.665Trabe Eje1 (B-C) 0.3 0.75 7.6 1.71Trabe Eje 1(C-D) 0.3 0.75 7.4 1.665Trabe Eje 1' (B-C) 0.3 0.75 7.4 1.665Trabe Eje 2(A-B) 0.3 0.75 7.4 1.665Trabe Eje 2(B-C) 0.3 0.75 7.6 1.71Trabe Eje 2(C-D) 0.3 0.75 7.4 1.665Trabe Eje 3(A-B) 0.3 0.75 7.4 1.665Trabe Eje 3(B-C) 0.3 0.75 7.6 1.71Trabe Eje 3(C-D) 0.3 0.75 7.4 1.665Trabe Eje A(1-2) 0.25 0.6 5.4 0.81Trabe Eje A(2-3) 0.25 0.6 5.4 0.81Trabe Eje B(1-2) 0.25 0.6 5.4 0.81Trabe Eje B(2-3) 0.25 0.6 5.4 0.81Trabe Eje B'(1-2) 0.25 0.6 5.4 0.81Trabe Eje C(1-2) 0.25 0.6 5.4 0.81Trabe Eje C(2-3) 0.25 0.6 5.4 0.81Trabe Eje D(1-2) 0.25 0.6 5.4 0.81Trabe Eje D(2-3) 0.25 0.6 5.4 0.81

(m²) (m³)

Jesús Eduardo Canuto CruzOsvaldo Ortigoza Silva

ColumnasC1 0.4 0.4 1.5 0.24C2 0.4 0.4 1.5 0.24C3 0.4 0.4 1.5 0.24C4 0.4 0.4 1.5 0.24C5 0.4 0.4 1.5 0.24C6 0.4 0.4 1.5 0.24C7 0.4 0.4 1.5 0.24C8 0.4 0.4 1.5 0.24C9 0.4 0.4 1.5 0.24

C10 0.4 0.4 1.5 0.24C11 0.4 0.4 1.5 0.24C12 0.4 0.4 1.5 0.24

MurosMuro Eje 1(A-B) 0.12 7.4 1.3 1.1544Muro Eje 1(B-C) 0.12 7.6 1.3 1.1856Muro Eje 1(C-D) 0.12 7.4 1.3 1.1544Muro Eje 3(A-B) 0.12 7.4 1.3 1.1544Muro Eje 3(B-C) 0.12 7.6 1.3 1.1856Muro Eje 3(C-D) 0.12 7.4 1.3 1.1544Muro Eje A(1-2) 0.12 5.4 1.3 0.8424Muro Eje A(2-3) 0.12 5.4 1.3 0.8424Muro Eje A(1-2) 0.12 5.4 1.3 0.8424Muro Eje A(2-3) 0.12 5.4 1.3 0.8424

Jesús Eduardo Canuto CruzOsvaldo Ortigoza Silva

Carga Muerta Peso Vol. Peso Elemento x y Centro de MasasWcm (kg) (m) (m) (x Wcm) (y Wcm)

Losas640 35520 4 9 142080.00 319680.00640 35520 12 9 426240.00 319680.00640 35520 20 9 710400.00 319680.00640 35520 4 3 142080.00 106560.00640 35520 12 3 426240.00 106560.00640 35520 20 3 710400.00 106560.00

Trabes2400 3996 4.1 0.2 16383.60 799.22400 4104 11.8 0.2 48427.20 820.82400 3996 19.7 0.2 78721.20 799.22400 3996 19.7 0.2 78721.20 799.22400 3996 4.1 6 16383.60 239762400 4104 11.8 6 48427.20 246242400 3996 19.7 6 78721.20 239762400 3996 4.1 11.8 16383.60 47152.82400 4104 11.8 11.8 48427.20 48427.22400 3996 19.7 11.8 78721.20 47152.82400 1944 0.2 3.1 388.80 6026.42400 1944 0.2 8.7 388.80 16912.82400 1944 8 3.1 15552.00 6026.42400 1944 8 8.7 15552.00 16912.82400 1944 8 8.7 15552.00 16912.82400 1944 16 3.1 31104.00 6026.42400 1944 16 8.7 31104.00 16912.82400 1944 23.8 3.1 46267.20 6026.42400 1944 23.8 8.7 46267.20 16912.8

(kg/m²) (kg/m³)

Jesús Eduardo Canuto CruzOsvaldo Ortigoza Silva

Columnas2400 576 0.2 11.8 115.2 6796.82400 576 8 11.8 4608 6796.82400 576 16 11.8 9216 6796.82400 576 23.8 11.8 13708.8 6796.82400 576 0.2 6 115.2 34562400 576 8 6 4608 34562400 576 16 6 9216 34562400 576 23.8 6 13708.8 34562400 576 0.2 0.2 115.2 115.22400 576 8 0.2 4608 115.22400 576 16 0.2 9216 115.22400 576 23.8 0.2 13708.8 115.2

Muros1700 1962.48 0.06 12.325 117.7488 24187.5661700 2015.52 0.06 7.5 120.9312 15116.41700 1962.48 0.06 2.675 117.7488 5249.6341700 1962.48 0.06 12.325 117.7488 24187.5661700 2015.52 0.06 7.5 120.9312 15116.41700 1962.48 0.06 2.675 117.7488 5249.6341700 1432.08 0.06 7.5 85.9248 10740.61700 1432.08 0.06 2.675 85.9248 3830.8141700 1432.08 0.06 7.5 85.9248 10740.61700 1432.08 0.06 2.675 85.9248 3830.814

Ʃ = 295421.28 Ʃ = 3352933.76 1765638.83

x = 11.350 my = 5.977 m

Nivel 2

Jesús Eduardo Canuto CruzOsvaldo Ortigoza Silva

Calculando Rigideces a Ejes:I K

1054687.5 1425.253381054687.5 1387.746711054687.5 1425.253381054687.5 1425.253381054687.5 1425.253381054687.5 1387.746711054687.5 1425.253381054687.5 1425.253381054687.5 1387.746711054687.5 1425.25338

450000 833.333333450000 833.333333450000 833.333333450000 833.333333450000 833.333333450000 833.333333450000 833.333333450000 833.333333450000 833.333333

cm⁴ cm³

Jesús Eduardo Canuto CruzOsvaldo Ortigoza Silva

213333.333 609.52381213333.333 609.52381213333.333 609.52381213333.333 609.52381213333.333 609.52381213333.333 609.52381213333.333 609.52381213333.333 609.52381213333.333 609.52381213333.333 609.52381213333.333 609.52381213333.333 609.52381

cm⁴ cm³

Jesús Eduardo Canuto CruzOsvaldo Ortigoza Silva

Elemento Sección (m) Longitud Ancho Área Volumenb h (m) (m)

LosasTab-1 8 6 48Tab-2 8 6 48Tab-3 8 6 48Tab-4 8 6 48Tab-5 8 6 48Tab- 6 8 6 48

TrabesTrabe Eje1 (A-B) 0.3 0.75 7.4 1.665Trabe Eje1 (B-C) 0.3 0.75 7.6 1.71Trabe Eje 1(C-D) 0.3 0.75 7.4 1.665Trabe Eje 1' (B-C) 0.3 0.75 7.4 1.665Trabe Eje 2(A-B) 0.3 0.75 7.4 1.665Trabe Eje 2(B-C) 0.3 0.75 7.6 1.71Trabe Eje 2(C-D) 0.3 0.75 7.4 1.665Trabe Eje 3(A-B) 0.3 0.75 7.4 1.665Trabe Eje 3(B-C) 0.3 0.75 7.6 1.71Trabe Eje 3(C-D) 0.3 0.75 7.4 1.665Trabe Eje A(1-2) 0.25 0.6 5.4 0.81Trabe Eje A(2-3) 0.25 0.6 5.4 0.81Trabe Eje B(1-2) 0.25 0.6 5.4 0.81Trabe Eje B(2-3) 0.25 0.6 5.4 0.81Trabe Eje B'(1-2) 0.25 0.6 5.4 0.81Trabe Eje C(1-2) 0.25 0.6 5.4 0.81Trabe Eje C(2-3) 0.25 0.6 5.4 0.81Trabe Eje D(1-2) 0.25 0.6 5.4 0.81Trabe Eje D(2-3) 0.25 0.6 5.4 0.81

(m²) (m³)

Jesús Eduardo Canuto CruzOsvaldo Ortigoza Silva

ColumnasC1 0.4 0.4 2 0.32C2 0.4 0.4 2 0.32C3 0.4 0.4 2 0.32C4 0.4 0.4 2 0.32C5 0.4 0.4 2 0.32C6 0.4 0.4 2 0.32C7 0.4 0.4 2 0.32C8 0.4 0.4 2 0.32C9 0.4 0.4 2 0.32

C10 0.4 0.4 2 0.32C11 0.4 0.4 2 0.32C12 0.4 0.4 2 0.32

MurosMuro Eje 1(A-B) 0.12 7.4 1.8 1.5984Muro Eje 1(B-C) 0.12 7.6 1.8 1.6416Muro Eje 1(C-D) 0.12 7.4 1.8 1.5984Muro Eje 3(A-B) 0.12 7.4 1.8 1.5984Muro Eje 3(B-C) 0.12 7.6 1.8 1.6416Muro Eje 3(C-D) 0.12 7.4 1.8 1.5984Muro Eje A(1-2) 0.12 5.4 1.8 1.1664Muro Eje A(2-3) 0.12 5.4 1.8 1.1664Muro Eje A(1-2) 0.12 5.4 1.8 1.1664Muro Eje A(2-3) 0.12 5.4 1.8 1.1664

Jesús Eduardo Canuto CruzOsvaldo Ortigoza Silva

Carga Muerta Peso Vol. Peso Elemento x y Centro de MasasWcm (kg) (m) (m) (x Wcm) (y Wcm)

Losas640 35520 4 9 142080.00 319680.00640 35520 12 9 426240.00 319680.00640 35520 20 9 710400.00 319680.00640 35520 4 3 142080.00 106560.00640 35520 12 3 426240.00 106560.00640 35520 20 3 710400.00 106560.00

Trabes2400 3996 4.1 0.2 16383.60 799.22400 4104 11.8 0.2 48427.20 820.82400 3996 19.7 0.2 78721.20 799.22400 3996 19.7 0.2 78721.20 799.22400 3996 4.1 6 16383.60 239762400 4104 11.8 6 48427.20 246242400 3996 19.7 6 78721.20 239762400 3996 4.1 11.8 16383.60 47152.82400 4104 11.8 11.8 48427.20 48427.22400 3996 19.7 11.8 78721.20 47152.82400 1944 0.2 3.1 388.80 6026.42400 1944 0.2 8.7 388.80 16912.82400 1944 8 3.1 15552.00 6026.42400 1944 8 8.7 15552.00 16912.82400 1944 8 8.7 15552.00 16912.82400 1944 16 3.1 31104.00 6026.42400 1944 16 8.7 31104.00 16912.82400 1944 23.8 3.1 46267.20 6026.42400 1944 23.8 8.7 46267.20 16912.8

(kg/m²) (kg/m³)

Jesús Eduardo Canuto CruzOsvaldo Ortigoza Silva

Columnas2400 768 0.2 11.8 153.6 9062.42400 768 8 11.8 6144 9062.42400 768 16 11.8 12288 9062.42400 768 23.8 11.8 18278.4 9062.42400 768 0.2 6 153.6 46082400 768 8 6 6144 46082400 768 16 6 12288 46082400 768 23.8 6 18278.4 46082400 768 0.2 0.2 153.6 153.62400 768 8 0.2 6144 153.62400 768 16 0.2 12288 153.62400 768 23.8 0.2 18278.4 153.6

Muros1700 2717.28 0.06 12.325 163.0368 33490.4761700 2790.72 0.06 7.5 167.4432 20930.41700 2717.28 0.06 2.675 163.0368 7268.7241700 2717.28 0.06 12.325 163.0368 33490.4761700 2790.72 0.06 7.5 167.4432 20930.41700 2717.28 0.06 2.675 163.0368 7268.7241700 1982.88 0.06 7.5 118.9728 14871.61700 1982.88 0.06 2.675 118.9728 5304.2041700 1982.88 0.06 7.5 118.9728 14871.61700 1982.88 0.06 2.675 118.9728 5304.204

Ʃ = 304498.08 Ʃ = 3380988.12 1824943.61

x = 11.103 my = 5.993 m

Nivel 1

Jesús Eduardo Canuto CruzOsvaldo Ortigoza Silva

Calculando Rigideces a Ejes:I K

1054687.5 1425.253381054687.5 1387.746711054687.5 1425.253381054687.5 1425.253381054687.5 1425.253381054687.5 1387.746711054687.5 1425.253381054687.5 1425.253381054687.5 1387.746711054687.5 1425.25338

450000 833.333333450000 833.333333450000 833.333333450000 833.333333450000 833.333333450000 833.333333450000 833.333333450000 833.333333450000 833.333333

cm⁴ cm³

Jesús Eduardo Canuto CruzOsvaldo Ortigoza Silva

213333.333 609.52381213333.333 609.52381213333.333 609.52381213333.333 609.52381213333.333 609.52381213333.333 609.52381213333.333 609.52381213333.333 609.52381213333.333 609.52381213333.333 609.52381213333.333 609.52381213333.333 609.52381

cm⁴ cm³