hiperestatica 3

48
1 2 3 4 1 2 3 4 tn/m2 E 2.10E+07 1 1 49.4172 247.0860 -49.4172 247.0860 m4 I 0.0001961 2 2 1,647.2400 -247.0860 823.6200 m L 10 3 3 49.4172 -247.0860 4 4 1,647.2400 1 2 3 4 3 4 5 6 tn/m2 E 2.10E+07 1 3 31.6595 183.6251 -31.6595 183.6251 m4 I 0.0001961 2 4 1,420.0345 -183.6251 710.0172 m L 11.6 3 5 31.6595 -183.6251 4 6 1,420.0345 1 2 3 4 5 6 7 8 tn/m2 E 2.10E+07 1 5 28.5979 171.5875 -28.5979 171.5875 m4 I 0.0001961 2 6 1,372.7000 -171.5875 686.3500 m L 12 3 7 28.5979 -171.5875 4 8 1,372.7000 49.4172 247.0860 -49.4172 247.0860 1,647.2400 -247.0860 823.6200 49.4172 -247.0860 1,647.2400

description

ejemplos resueltos y formula en excel

Transcript of hiperestatica 3

a1234123412345678tn/m2E2.10E+071149.4172247.0860-49.4172247.0860149.4172247.0860-49.4172430.7111-4.00m4I0.0001961221,647.2400-247.0860823.62002247.08601,647.2400-247.0860823.6200-6.67mL103349.4172-247.08603-49.4172-247.086081.0767-247.0860-31.6595183.6251-6.71441,647.24004430.7111823.6200-247.08603,067.2745-183.6251710.0172-1.925-31.6595-183.625160.2574-12.0376-28.5979171.5875-5.096183.6251710.0172-12.03762,792.7345-171.5875686.35006.8712347-28.5979-171.587528.5979-171.58750.0034568686.3500-171.58751,372.70000.00tn/m2E2.10E+071331.6595183.6251-31.6595183.6251m4I0.0001961241,420.0345-183.6251710.0172mL11.63531.6595-183.6251461,420.0345

11.00E+16247.086-49.4172430.7111486326000012342247.0861647.24-247.086823.62000056783-49.4172-247.0861.00E+16-247.086-31.6595083849183.625148632600tn/m2E2.10E+071528.5979171.5875-28.5979171.58754430.7111486326823.62-247.0863067.2744827586-183.6251486326710.017241379300m4I0.0001961261,372.7000-171.5875686.3500500-31.6595083849-183.62514863261.00E+15-12.0376486326-28.5979166667171.5875mL123728.5979-171.5875600183.6251486326710.0172413793-12.03764863262792.7344827586-171.5875686.35481,372.700070000-28.5979166667-171.58751.00E+15-171.5875800000686.35-171.58751.00E+15

49.4172247.0860-49.4172247.08601,647.2400-247.0860823.62000-0-0-0-000-0-4.0049.4172-247.0860-00.00070808820-0.0002020242-00.00005136210-0-6.671,647.2400-00000-0-00-6.71-0-0.000202024200.00040404830-0.0001027241-00-1.92-0-0000-00-0-5.0900.0000513621-0-0.0001027241-00.00038418830-06.8700-0-000000.00-0-0000-0000.00-0.0000000000001.00E+151.00E+151.00E+151.00E+151.00E+151.00E+151.00E+151.00E+15-0.003981213856-0.000000000000-0.000132324723-0.0000000000000.0024920854020.000000000000-0.000000000000-0.29593-3,981,213,855,697.85000-0.81840-132,324,722,979.53600-5.084302,492,085,401,510.430000.42761-1.71044

e1012341234123456tn/m2E2.10E+0711228.7833686.3500-228.7833686.35001228.7833686.3500-228.7833686.3500m4I0.0001961222,745.4000-686.35001,372.700022,745.4000-686.35001,372.7000mL633228.7833-686.35003457.56670.0000-228.7833686.3500442,745.400045,490.8000-686.35001,372.70005228.7833-686.350062,745.400012343456tn/m2E2.10E+0713228.7833686.3500-228.7833686.3500m4I0.0001961242,745.4000-686.35001,372.7000mL635228.7833-686.3500462,745.4000

1234561228.7833686.3500-228.7833686.35002686.35002,745.4000-686.35001,372.70003-228.7833-686.3500457.56670.0000-228.7833686.35004686.35001,372.70000.00005,490.8000-686.35001,372.7000500.0000-228.7833-686.3500228.7833-686.3500600.0000686.35001,372.7000-686.35002,745.4000

1234561-9.00-9.000011.0000E+15686.3500-228.7833686.35000.00000.00002-9.00-9.00002686.35002,745.4000-686.35001,372.70000.00000.00003-9.00-2.5000-11.50003-228.7833-686.35001.0000E+150.0000-228.7833686.350049.00-3.755.25004686.35001,372.70000.00005,490.8000-686.35001,372.70005-2.5000-2.5000500.0000-228.7833-686.35001.0000E+15-686.350063.753.7500600.0000686.35001,372.7000-686.35001.0000E+15

12345611.00E+15-0.000007.44610.0000000-0.00000000.0000000-0.0000000-0.00000000.000000021.00E+15-0.004294,292,895,128,476.9602-0.00000000.00041630.0000000-0.0001041-0.00000000.000000031.00E+15-0.0000014.44630.00000000.00000000.0000000-0.00000000.0000000-0.000000041.00E+150.00203-2,029,368,606,189.1404-0.0000000-0.0001041-0.00000000.00020810.0000000-0.000000051.00E+15-0.000001.1075-0.0000000-0.00000000.00000000.00000000.00000000.000000061.00E+150.00000-0.96460.00000000.0000000-0.0000000-0.00000000.00000000.0000000

e2012341234123456tn/m2E2.10E+0711772.14381,544.2875-772.14381,544.28751772.14381,544.2875-772.14381,544.2875m4I0.0001961224,118.1000-1,544.28752,059.050024,118.1000-1,544.28752,059.0500mL433772.1438-1,544.287531,167.4814-555.9435-1,414.79613,651.3820444,118.100047,412.5800-3,651.38206,314.420051,414.7961-3,651.3820612,628.840012343456tn/m2E2.10E+0713395.3376988.3440-395.3376988.3440m4I0.0001961243,294.4800-988.34401,647.2400mL535395.3376-988.3440463,294.4800

1234561772.14381,544.2875-772.14381,544.28750.00000.000021,544.28754,118.1000-1,544.28752,059.05000.00000.00003-772.1438-1,544.28751,167.4814-555.9435-1,414.79613,651.382041,544.28752,059.0500-555.94357,412.5800-3,651.38206,314.420050.00000.0000-1,414.7961-3,651.38201,414.7961-3,651.3820600.00003,651.38206,314.4200-3,651.382012,628.8400

1234561-2.00-2.000011.00E+152-2.00-2.000023-2.00-10.0000-12.000031.00E+1542.00-8.3333333333-6.333345-10.0000-10.000051.00E+1568.33333333338.33336

1234561.00E+150.000-1.0211,000,000,000,000,770.00001,544.2875-772.14381,544.28750.00000.00001.00E+150.001-986,821,540,816.8321,544.28754,118.1000-1,544.28752,059.05000.00000.00001.00E+15-0.00019.903-772.1438-1,544.28751,000,000,000,001,170.0000-555.9435-1,414.79613,651.38201.00E+15-0.0032,944,964,807,688.0641,544.28752,059.0500-555.94357,412.5800-3,651.38206,314.42001.00E+15-0.00012.9750.00000.0000-1,414.7961-3,651.38201,000,000,000,001,410.0000-3,651.38201.00E+150.002-2,132,347,706,861.46600.00003,651.38206,314.4200-3,651.382012,628.840012345610.00000-0.00000-0.00000-0.00000-0.000000.000002-0.000000.000320.00000-0.00015-0.000000.000083-0.000000.000000.000000.000000.00000-0.000004-0.00000-0.000150.000000.000310.00000-0.000155-0.00000-0.000000.000000.000000.000000.0000060.000000.00008-0.00000-0.000150.000000.00016

e10_12341234123456tn/m2E2.10E+0711228.7833686.3500-228.7833686.35001228.7833686.3500-228.7833686.35000.00000.0000m4I0.0001961222,745.4000-686.35001,372.700022,745.4000-686.35001,372.70000.00000.0000mL633228.7833-686.35003457.56670.0000-228.7833686.3500442,745.400045,490.8000-686.35001,372.70005228.7833-686.350062,745.400012343456tn/m2E2.10E+0713228.7833686.3500-228.7833686.3500m4I0.0001961242,745.4000-686.35001,372.7000mL635228.7833-686.3500462,745.4000

1234561228.7833686.3500-228.7833686.35000.00000.00002686.35002,745.4000-686.35001,372.70000.00000.00003-228.7833-686.3500457.56670.0000-228.7833686.35004686.35001,372.70000.00005,490.8000-686.35001,372.7000500.0000-228.7833-686.3500228.7833-686.3500600.0000686.35001,372.7000-686.35002,745.4000

1234561-9.00-9.000011.00E+152-9.00-9.000023-9.00-2.5000-11.500031.00E+1549.00-3.755.250045-2.5000-2.500051.00E+1563.753.750061.00E+15

1234561.00E+15-9,000,000,000,002,000.0009,000,000,000,002,002,000,000,000,000,000.00011.00E+15686.3500-228.7833686.35000.00000.00001.00E+15-15,786.05015,786,050,000,000,000,000.0002686.35002,745.4000-686.35001,372.70000.00000.00001.00E+15-11,499,999,999,993,900.00011,499,999,999,993,880,000,000,000,000,000.0003-228.7833-686.35001.00E+150.0000-228.7833686.35001.00E+1517,158.750-17,158,750,000,000,000,000.0004686.35001,372.70000.00005,490.8000-686.35001,372.70001.00E+15-2,500,000,000,004,120.0002,500,000,000,004,118,500,000,000,000,000.000500.0000-228.7833-686.35001.00E+15-686.35001.00E+153,750,000,000,011,320.000-3,750,000,000,011,325,000,000,000,000,000.000600.0000686.35001,372.7000-686.35001.00E+1512345611.00E-15-0.00000.0000-0.0000-0.00000.00002-0.00000.00040.0000-0.0001-0.00000.000030.00000.00001.00E-15-0.00000.0000-0.00004-0.0000-0.0001-0.00000.00020.0000-0.00005-0-0.00000.00000.00001.00E-150.0000600.0000-0.0000-0.00000.00001.00E-15

pract.raul-aleCORTE 1SUMA DE MATRIZ CORTE 1 Y 21234561395.3376988.3440-395.3376988.344023,294.4800-988.34401,647.24003624.1209-301.9940-228.7833686.350046,039.8800-686.35001,372.70005228.7833-686.350062,745.4000COMPLETANDO LA MATRIZ1234561395.3376988.3440-395.3376988.34400.00000.00002988.34403,294.4800-988.34401,647.24000.00000.00003-395.3376-988.3440624.1209-301.9940-228.7833686.35004988.34401,647.2400-301.99406,039.8800-686.35001,372.700050.00000.0000-228.7833-686.3500228.7833-686.3500MATRIZ DEL CORTE 160.00000.0000686.35001,372.7000-686.35002,745.400012341234tn/m2E2.10E+0711395.3376988.3440-395.3376988.3440m4I0.0001961223,294.4800-988.34401,647.2400mL533395.3376-988.3440443,294.4800

CORTE 2MATRIZ A

12345611.00E+15231.00E+15451.00E+1561.00E+15

MATRIZ DEL CORTE 21234SUMA MATRIZ Y MATRIZ A3456tn/m2E2.10E+0713228.7833686.3500-228.7833686.3500123456m4I0.0001961242,745.4000-686.35001,372.700011.00E+15988.3440-395.3376988.34400.00000.0000mL635228.7833-686.35002988.34403,294.4800-988.34401,647.24000.00000.0000462,745.40003-395.3376-988.34401.00E+15-301.9940-228.7833686.35004988.34401,647.2400-301.99406,039.8800-686.35001,372.7000500.0000-228.7833-686.35001.00E+15-686.3500600.0000686.35001,372.7000-686.35001.00E+15

1-2.46-2.462-3.36-3.363-4.54-9.000-13.5445.04-9.000-3.96INVERSA DE LA MATRIZ5-9.000-9.0069.0009.0012345611.00E-15-0.00000.0000-0.0000-0.00000.00002-2.53E-160.00040.0000-0.0001-0.00000.000031.17E-280.00001.00E-15-0.00000.0000-0.00004-9.47E-17-0.0001-0.00000.00020.0000-0.00005-6.50E-29-0.00000.00000.00001.00E-150.0000OBTENCION DE REACCIONES61.30E-280.0000-0.0000-0.00000.00001.00E-15

1.00E+15-0.00-1.241.00E+15-0.00-801,340,423,984.31.00E+15-0.00-14.461.00E+15-0.00-437,094,776,720.51.00E+15-0.00-9.301.00E+150.009.60

pract. 2 ale-raul1234567811,830.272,745.40-1,830.272,745.4025,490.80-2,745.402,745.4032,602.41-1,201.11-772.141,544.2949,608.90-1,544.292,059.0551,167.48-555.94-395.34988.3467,412.58-988.341,647.247395.34-988.3483,294.481234567811,830.272,745.40-1,830.272,745.400.000.000.000.0022,745.405,490.80-2,745.402,745.400.000.000.000.003-1,830.27-2,745.402,602.41-1,201.11-772.141,544.290.000.0042,745.402,745.40-1,201.119,608.90-1,544.292,059.050.000.0050.000.00-772.14-1,544.291,167.48-555.94-395.34988.3460.000.001,544.292,059.05-555.947,412.58-988.341,647.2470.000.000.000.00-395.34-988.34395.34-988.3480.000.000.000.00988.341,647.24-988.343,294.48

CORTE 112341234tn/m2E2.10E+07111,830.26672,745.4000-1,830.26672,745.400012345678m4I0.0001961225,490.8000-2,745.40002,745.400011.00E+15mL3331,830.2667-2,745.40002445,490.800031.00E+15451.00E+15671.00E+15CORTE 2123481.00E+153456tn/m2E2.10E+0713772.14381,544.2875-772.14381,544.2875m4I0.0001961244,118.1000-1,544.28752,059.0500mL435772.1438-1,544.2875464,118.10001234567811.00E+152,745.4000-1,830.26672,745.40000.00000.00000022,745.40005,490.8000-2,745.40002,745.40000.00000.0000003-1,830.2667-2,745.40001.00E+15-1,201.1125-772.14381,544.28750042,745.40002,745.4000-1,201.11259,608.9000-1,544.28752,059.050000CORTE 31234500.0000-772.1438-1,544.28751.00E+15-555.9435-395.3376988.3445678600.00001,544.28752,059.0500-555.94357.41E+03-988.3441647.24tn/m2E2.10E+0715395.3376988.3440-395.3376988.344070000-395.3376-988.3441.00E+15-988.344m4I0.0001961263,294.4800-988.34401,647.240080000988.3441647.24-988.3441.00E+15mL537395.3376-988.3440483,294.4800

1234567811.00E-15-0.00000.0000-0.0000-0.00000.00000-02-0.00000.00020.0000-0.0001-0.00000.00000-030.00000.00001.00E-150.00000.0000-0.0000-004-0.0000-0.00010.00000.00010.0000-0.0000-005-0-0.00000.00000.00001.00E-150.00000-0600.0000-0.0000-0.00000.00001.45E-040-0700-0-000008-0-000-0-0001-0.78-0.781.00E+15-0.000-0.232-0.67-0.671.00E+15-0.000-44,570,257,189.493-2.22-3.90-6.121.00E+15-0.000-6.7441.33-2.53-1.201.00E+15-0.000-154,904,069,294.745-2.10-0.52-2.621.00E+15-0.000-2.7561.96-0.801.161.00E+150.000199,519,630,665.877-4.48-4.481.00E+15-0-4.2883.203.201.00E+1502.87

pract.3 ale1234123412345678tn/m2E2.10E+0711772.14381,544.2875-772.14381,544.28751772.14381,544.2875-772.14381,544.2875m4I0.0001961224,118.1000-1,544.28752,059.050024,118.1000-1,544.28752,059.0500mL433772.1438-1,544.287531,544.28750.0000-772.14381,544.2875444,118.100048,236.2000-1,544.28752,059.050051,167.4814-555.9435-395.3376988.34467,412.5800-988.3441647.2412347395.3376-988.344345683294.48tn/m2E2.10E+0713772.14381,544.2875-772.14381,544.2875m4I0.0001961244,118.1000-1,544.28752,059.0500mL435772.1438-1,544.2875464,118.1000

1234567812341772.14381,544.2875-772.14381,544.28750.00000.00000.00000.0000567821,544.28754,118.1000-1,544.28752,059.05000.00000.00000.00000.0000tn/m2E2.10E+0715395.3376988.3440-395.3376988.34403-772.1438-1,544.28751,544.28750.0000-772.14381,544.28750.000.00m4I0.0001961263,294.4800-988.34401,647.240041,544.28752,059.05000.00008,236.2000-1,544.28752,059.05000.000.00mL537395.3376-988.344050.00000.0000-772.1438-1,544.28751,167.4814-555.9435-395.3376988.344483,294.480060.00000.00001,544.28752,059.0500-555.94357,412.5800-988.3441647.2470.00000.000.000.00-395.34-988.34395.34-988.3480.00000.000.000.00988.341647.24-988.343294.48

1234567813.003.000011.00E+1523.003.0000233.00-10.00-7.000031.00E+154-3.00-6.67-9.670045-10.001.06-8.940051.00E+1566.671.448.1100671.941.940071.00E+158-2.16-2.160081.00E+15

123456781.00E+150.0003.4411.00E+151,544.2875-772.14381,544.28750.00000.00000.000.001.00E+150.0021,740,047,511,027.5121,544.28754,118.1000-1,544.28752,059.05000.00000.00000.000.001.00E+15-0.000-6.873-772.1438-1,544.28751.00E+150.0000-772.14381,544.28750.000.001.00E+15-0.002-2,023,112,433,004.6941,544.28752,059.05000.00008,236.2000-1,544.28752,059.05000.000.001.00E+15-0.000-11.1450.00000.0000-772.1438-1,544.28751.00E+15-555.9435-395.34988.341.00E+150.0021,656,061,675,583.1760.000.001544.292059.05-555.94357,412.5800-988.341647.241.00E+1503.5870.000.000.000.00-395.34-988.341.00E+15-988.341.00E+15-0-4.8980.000.000.000.00988.341647.24-988.341.00E+15

1234567810.00000-0.000000.00000-0.00000-0.000000.000000-02-0.000000.000280.00000-0.00008-0.000000.000020-030.000000.000000.00000-0.000000.00000-0.00000-004-0.00000-0.00008-0.000000.000150.00000-0.00004-005-0.00000-0.000000.000000.000000.000000.000000-060.000000.00002-0.00000-0.000040.000000.000150-0700-0-000008-0-000-0-000