practica21.753.515.31253.913118960621.107148717863.4348004848cos0.44721359550.2sen0.8944271910.8u10.21321984410.4u20.0556934549u30.18557996572.110000000.00120107.3345259392u4-0.0484738627u50.1959969578E2100T/CM2u6-0.1562292078A20CM2L391.3CMANGULO63.435GRADOSelemento321.4742.93-21.47-42.9321.4742.93-21.47-42.9302.50042.9385.87-42.93-85.8742.9385.87-42.93-85.8705.000K(elemento)-21.47-42.9321.4742.93F(GLOBAL)-21.47-42.9321.4742.930.1959969578-2.500-42.93-85.8742.9385.87-42.93-85.8742.9385.87-0.1562292078-5.000162.426-42.426-120000-42.426162.4260000F(LOCAL)0.44721048090.8944287483002.5005.590k(total)-1200402.42642.426-2400-0.89442874830.4472104809005.000-0.0000042.426162.42600000.44721048090.8944287483-2.500-5.59000-2400261.46742.93400-0.89442874830.4472104809-5.0000.000000042.93485.8670.01779462020.00464799080.0141092777-0.00368537190.0141092924-0.0070547284k(inversa)0.00464799080.00737071440.0036853719-0.00096262660.0036853757-0.00184270930.01410927770.00368537190.0177946496-0.00464799850.0177946682-0.0088974377-0.0036853719-0.0009626266-0.00464799850.0073707164-0.00464800330.00232402870.01410929240.00368537570.0177946682-0.00464800330.0219613577-0.0109808067-0.0070547284-0.0018427093-0.00889743770.0023240287-0.01098080670.017136384810F(fuerzas)0000-50.2132198441u1U(despl.)0.0556934549u20.1855799657u3-0.0484738627u40.1959969578u5-0.1562292078u6

practica 3PROBLEMA 2u10.0034584864u20u30.0034259884u4-0.0030891443E2100T/CM2A15CM2L721.1102550928CMANGULO33.6899887441GRADOSelemento330.2420.16-30.24-20.1630.2420.16-30.24-20.160-0.04120.1613.44-20.16-13.4420.1613.44-20.16-13.440-0.028K(elemento)-30.24-20.1630.2420.16F(GLOBAL)-30.24-20.1630.2420.160.00342598840.041-20.16-13.4420.1613.44-20.16-13.4420.1613.44-0.00308914430.02810692.440-78750011269.7800F(LOCAL)0.83205029430.554700196200-0.041-0.04967k(total)-7875012307.874833.39-0.55470019620.832050294300-0.028-0.000004833.396979000.83205029430.55470019620.0410.05000-0.55470019620.83205029430.0280.0000.000265153600.0002330335-0.0001613901k(inversa)00.0000887329000.000233033500.0003164059-0.0002191307-0.00016139010-0.00021913070.000295048610F(fuerzas)00-50.0034584864u1U(despl.)0u20.0034259884u3-0.0030891443u4PROBLEMA 14 ton3ELEMENTO 1E=210000006I=0.00012A=0.01L66ANGULO1400420K=035000042001680ELEMENTO 1E=21000000EA/L35000I=0.0001212EI/L^3140A=0.016EI/L2420L64EI/L=1680ANGULO902EI/L=840SENO( A)1SEN^21COSENO( A)0COS^20COS*SEN0000123139.99999999810-419.9999999972-139.99999999810-419.999999997200-4034999.999999527800-34999.9999995278000-1.8792760159K=-419.999999997201680419.999999997208400012.724343905-139.99999999810419.9999999972139.99999999810419.999999997210.033745313640-34999.99999952780034999.9999995278020.00005369361.8792760159-419.99999999720840419.9999999972016803-0.001724628311.2756560952ELEMENTO 25E=21000000EA/L125219.80673998864I=0.000712EI/L^3584.3590981199A=0.046EI/L21960L6.70820393254EI/L=8765.38647179922ANGULO26.56498905662EI/L=4382.69323589963+SENO( A)0.4472SEN^20.2COSENO( A)0.89443COS^20.8COS*SEN0.4123405100292.71721161549854.1790567473-876.5386471799-100292.717211615-49854.1790567473-876.538647179910.0337453136-0.00049854.179056747325511.44862649361753.0772943598-49854.1790567473-25511.44862649361753.077294359820.0000536936-1.879K=-876.53864717991753.07729435988765.3864717992876.5386471799-1753.07729435984382.69323589963-0.0017246283-11.276-100292.717211615-49854.1790567473876.5386471799100292.71721161549854.1790567473876.538647179940.03377966430.000-49854.1790567473-25511.4486264936-1753.077294359849854.179056747325511.4486264936-1753.0772943598001.879-876.53864717991753.07729435984382.6932358996876.5386471799-1753.07729435988765.386471799250.0008481404-0.000100432.71721161349854.1790567473-456.5386471828-100292.717211615-876.538647179949854.179056747360511.44862602141753.0772943598-49854.17905674731753.0772943598K(SISTEMA)-456.53864718281753.077294359810445.3864717992876.53864717994382.6932358996-100292.717211615-49854.1790567473876.5386471799100292.717211615876.5386471799-876.53864717991753.07729435984382.6932358996876.53864717998765.38647179920.00843632840.0000134234-0.00043115710.00844491610.0002120351K(INVERSA)0.00001342340.0000285625-0.00000447450.0000277034-0.0000049033-0.0004311571-0.00000447450.000143719-0.0004340196-0.00007067840.00844491610.0000277034-0.00043401960.00847062540.00020889820.0002120351-0.0000049033-0.00007067840.00020889820.00015071864F=00000.0337453136u10.0000536936u2U=-0.0017246283u30.0337796643u40.0008481404u5

1

1

practica 4practica N 04ESTRUCTURA ESPACIALRIGIDEZ DE ELEMENTO N 01NUDOxyzLi115000212.132034356j200150Delta-1500150l-0.7071067812m0n0.7071067812E=2100000kg/cm2EA/L118793.93923934A=12cm2L=212.13203435612300059396.969619670-59396.96961967-59396.96961967059396.969619671u1-0.0612760269f1=2360.3896932107K=0000002u2-0.313814163f2=0-59396.96961967059396.9696196759396.969619670-59396.969619673u3-0.1010152545f3=-2360.3896932107-59396.96961967059396.9696196759396.969619670-59396.969619670u40f4=-2360.38969321070000000u50f5=059396.969619670-59396.96961967-59396.96961967059396.969619670u60f6=2360.3896932107RIGIDEZ DE ELEMENTO N 02NUDOxyzLi115000212.132034356j200-150Delta-1500-150l-0.7071067812m0n-0.7071067812E=2100000kg/cm2EA/L118793.93923934A=12cm2L=212.13203435612300059396.96961967059396.96961967-59396.969619670-59396.969619671-0.0612760269f1=-9639.6103067893K=0000002-0.313814163f2=059396.96961967059396.96961967-59396.969619670-59396.969619673-0.1010152545f3=-9639.6103067893-59396.969619670-59396.9696196759396.96961967059396.9696196700f4=9639.610306789300000000f5=0-59396.969619670-59396.9696196759396.96961967059396.9696196700f6=9639.6103067893RIGIDEZ DE ELEMENTO N 03NUDOxyzLi115000212.132034356j201500Delta-1501500l-0.7071067812m0.7071067812n0E=2100000kg/cm2EA/L118793.93923934A=12cm2L=212.13203435612300059396.96961967-59396.969619670-59396.9696196759396.9696196701-0.0612760269f1=15000K=-59396.9696196759396.96961967059396.96961967-59396.9696196702-0.313814163f2=-150000000003-0.1010152545f3=0-59396.9696196759396.96961967059396.96961967-59396.96961967000f4=-1500059396.96961967-59396.969619670-59396.9696196759396.96961967000f5=1500000000000f6=0RIGIDEZ DE ELEMENTO N 04NUDOxyzLi115000200j2-5000Delta-20000l-1m0n0E=2100000kg/cm2EA/L126000A=12cm2L=20012300012600000-126000001-0.0612760269f1=-7720.7793864214K=0000002-0.313814163f2=00000003-0.1010152545f3=0-126000001260000000f4=7720.779386421400000000f5=000000000f6=0304190.90885901-59396.969619670K SISTEMA-59396.9696196759396.96961967000118793.93923934

0.00000408510.00000408510K INVERSA0.00000408510.00002092090000.00000841790F=-15000-12000-0.0612760269U=-0.313814163-0.1010152545

practica 1PRACTICA N 0115 TON310 TON3CASO 2: DESPRECIANDO DEFORMACION AXIALCASO 1: CONSIDERANDO DEFORMACION AXIAL48411569710121212336514RIGIDEZ DE ELEMENTO 1CASO 1ELEMENTO 1 y 2E=251000EA/L522916.666666667I=32552.083333333312EI/L^33631.3657407407A=6256EI/L2544704.861111111L3004EI/L=108940972.222222ANGULO902EI/L=54470486.1111111SENO( A)1.0000SEN^21COSENO( A)0.00000COS^20.00000COS*SEN0.00000000456kg - cm.kg-cm000123U(elemento 1)F(elemento 1)U(elemento 2)F(elemento 2)3631.36570.0000-544704.8611-3631.3657-0.0000-544704.8611000-12,121.310-12,878.690.0000522916.66670.0000-0.0000-522916.66670.0000000-13,714.91013,714.91K=-544704.86110.0000108940972.2222544704.8611-0.000054470486.11110001,948,635.8002,022,417.76-3631.3657-0.0000544704.86113631.36570.0000544704.8611144.056352426412,121.314.045577596212,878.69-0.0000-522916.6667-0.00000.0000522916.6667-0.0000250.026227717813,714.91-0.0262277178-13,714.91-544704.86110.000054470486.1111544704.8611-0.0000108940972.222236-0.00478936591,687,756.71-0.00332708661,841,189.74ELEMENTO 3E=251000EA/L522916.666666667I=260416.66666666712EI/L^33631.3657407407A=12506EI/L21089409.72222222L6004EI/L=435763888.888889ANGULO02EI/L=217881944.444444SENO( A)0.0000SEN^20COSENO( A)1.00000COS^21.00000COS*SEN0.00000789101112123456U(elemento 3)F(elemento 3)U(elemento 6)F(elemento 6)522916.66670.00000.0000-522916.66670.00000.0000174.05635242645,634.347.0984974437,244.350.00003631.36571089409.72220.0000-3631.36571089409.7222280.0262277178-8,651.660.0359104334-5,063.25K=0.00001089409.7222435763888.88890.0000-1089409.7222217881944.444439-0.0047893659-2,754,799.34-0.001253346-1,259,651.36-522916.66670.00000.0000522916.66670.00000.00004104.0455775962-5,634.347.0846436995-7,244.350.0000-3631.3657-1089409.72220.00003631.3657-1089409.7222511-0.02622771788,651.66-0.03591043345,063.250.00001089409.7222217881944.44440.0000-1089409.7222435763888.8889612-0.0033270866-2,436,195.08-0.0036337604-1,778,300.67RIGIDEZ DE ELEMENTO 4 Y 5E=251000EA/L522916.666666667I=32552.083333333312EI/L^33631.3657407407A=6256EI/L2544704.861111111L3004EI/L=108940972.222222ANGULO902EI/L=54470486.1111111SENO( A)1.0000SEN^21COSENO( A)0.00000COS^20.00000COS*SEN0.00000456101112123789U(elemento 4)F(elemento 4)U(elemento 5)F(elemento 5)3631.36570.0000-544704.8611-3631.3657-0.0000-544704.8611144.0563524264-7,755.654.0455775962-7,244.350.0000522916.66670.0000-0.0000-522916.66670.0000250.0262277178-5,063.25-0.02622771785,063.25K=-544704.86110.0000108940972.2222544704.8611-0.000054470486.111136-0.00478936591,067,042.63-0.00332708661,095,005.34-3631.3657-0.0000544704.86113631.36570.0000544704.86117107.0984974437,755.657.08464369957,244.35-0.0000-522916.6667-0.00000.0000522916.6667-0.00008110.03591043345,063.25-0.0359104334-5,063.25-544704.86110.000054470486.1111544704.8611-0.0000108940972.2222912-0.0012533461,259,651.36-0.00363376041,078,300.67

123456789101112530179.39810.00000.0000-522916.6666666670.00000.0000-3631.3657-0.0000-544704.86110.00000.00000.00000.00001049464.69911089409.72220.0000-3631.36571089409.7222-0.0000-522916.66670.00000000.00001089409.7222653645833.33330.0000-1089409.7222217881944.4444544704.8611-0.000054470486.1111000-522916.6666666670.00000.0000530179.39810.00000.0000000-3631.3657-0.0000-544704.86110-3631.3657-1089409.72220.00001049464.6991-1089409.7222000-0.0000-522916.66670.0000K(SISTEMA)01089409.7222217881944.44440.0000-1089409.7222653645833.3333000544704.8611-0.000054470486.1111-3631.3657-0.0000544704.8611000526548.03240.0000544704.8611-522916.66670.00000.0000-0.0000-522916.6667-0.00000000.0000526548.03241089409.72220.0000-3631.36571089409.7222-544704.86110.000054470486.1111000544704.86111089409.7222544704861.11110.0000-1089409.7222217881944.4444000-3631.3657-0.0000544704.8611-522916.66670.00000.0000526548.03240.0000544704.8611000-0.0000-522916.6667-0.00000.0000-3631.3657-1089409.72220.0000526548.0324-1089409.7222000-544704.86110.000054470486.11110.00001089409.7222217881944.4444544704.8611-1089409.7222544704861.11110.00015429730.0000004594-0.00000010770.0001533469-0.0000004594-0.00000010750.00017083060.0000004771-0.0000000050.000170828-0.0000004771-0.00000000660.00000045940.0000019118-0.00000000310.00000045940.0000000005-0.00000000310.00000139590.0000019118-0.00000000320.00000139590.0000000006-0.0000000032-0.0000001077-0.00000000310.0000000019-0.00000010750.0000000031-0.0000000005-0.0000002214-0.0000000032-0.0000000002-0.00000022040.00000000320.00000000020.00015334690.0000004594-0.00000010750.0001542973-0.0000004594-0.00000010770.0001708280.0000004771-0.00000000660.0001708306-0.0000004771-0.000000005-0.00000045940.00000000050.0000000031-0.00000045940.00000191180.0000000031-0.00000139590.00000000060.0000000032-0.00000139590.00000191180.0000000032K(INVERSA)-0.0000001075-0.0000000031-0.0000000005-0.00000010770.00000000310.0000000019-0.0000002204-0.00000000320.0000000002-0.00000022140.0000000032-0.00000000020.00017083060.0000013959-0.00000022140.000170828-0.0000013959-0.00000022040.00036089150.0000018906-0.00000012570.0003599374-0.0000018906-0.00000012430.00000047710.0000019118-0.00000000320.00000047710.0000000006-0.00000000320.00000189060.0000038236-0.00000000620.00000189060.0000000011-0.0000000062-0.000000005-0.0000000032-0.0000000002-0.00000000660.00000000320.0000000002-0.0000001257-0.00000000620.0000000023-0.00000012430.0000000062-0.00000000080.0001708280.0000013959-0.00000022040.0001708306-0.0000013959-0.00000022140.00035993740.0000018906-0.00000012430.0003608915-0.0000018906-0.0000001257-0.00000047710.00000000060.0000000032-0.00000047710.00000191180.0000000032-0.00000189060.00000000110.0000000062-0.00000189060.00000382360.0000000062-0.0000000066-0.00000000320.0000000002-0.0000000050.0000000032-0.0000000002-0.0000001243-0.0000000062-0.0000000008-0.00000012570.00000000620.000000002310000000F=0500000150000000-700000u14.0563524264u20.0262277178u3-0.0047893659u44.0455775962u5-0.0262277178u6-0.0033270866U=u77.098497443u80.0359104334u9-0.001253346u107.0846436995u11-0.0359104334u12-0.0036337604CASO 2ELEMENTO 1 y 2E=251000EA/L0I=32552.083333333312EI/L^33631.3657407407A=06EI/L2544704.861111111L3004EI/L=108940972.222222ANGULO902EI/L=54470486.1111111SENO( A)1.0000SEN^21COSENO( A)0.00000COS^20.00000COS*SEN0.00000kg - cm.kg-cm32U(elemento 1)F(elemento 1)U(elemento 2)F(elemento 2)12108940972.2222544704.861113-0.00469559911,688,071.67-0.00325035031,845,518.47K=544704.86113631.3657224.038177275512,106.384.038177275512,893.62

ELEMENTO 3E=251000EA/L0I=260416.66666666712EI/L^33631.3657407407A=06EI/L21089409.72222222L6004EI/L=435763888.888889ANGULO02EI/L=217881944.444444SENO( A)0.0000SEN^20COSENO( A)1.00000COS^21.00000COS*SEN0.00000

U(elemento 3)F(elemento 3)U(elemento 6)F(elemento 6)4613K=435763888.8889217881944.444414-0.0046955991-2,754,365.14-0.001133876-1,260,302.27217881944.4444435763888.888936-0.0032503503-2,439,471.53-0.0035165835-1,779,451.20

E=251000EA/L0I=32552.083333333312EI/L^33631.3657407407A=06EI/L2544704.861111111L3004EI/L=108940972.222222ANGULO902EI/L=54470486.1111111SENO( A)1.0000SEN^21COSENO( A)0.00000COS^20.00000COS*SEN0.00000

3265U(elemento 4)F(elemento 4)U(elemento 5)F(elemento 5)1245108940972.2222-544704.861154470486.1111544704.861113-0.00469559911,066,293.48-0.00325035031,093,953.05K=-544704.86113631.3657-544704.8611-3631.3657224.0381772755-7,755.324.0381772755-7,244.6854470486.1111-544704.8611108940972.2222544704.861146-0.0011338761,260,302.27-0.00351658351,079,451.20544704.8611-3631.3657544704.86113631.3657557.04824658227,755.327.04824658227,244.68

653645833.33330.0000217881944.444454470486.1111544704.86110.00000.000014525.46300.0000-544704.8611-7262.7315-544704.8611K(SISTEMA)217881944.44440.0000653645833.33330.0000544704.861154470486.111154470486.1111-544704.86110.0000544704861.1111544704.8611217881944.4444544704.8611-7262.7315544704.8611544704.86117262.7314814815544704.86110.0000-544704.861154470486.1111217881944.4444544704.8611544704861.1111

0.0000000019-0.0000001061-0.0000000005-0.0000000002-0.00000021640.0000000002-0.00000010610.0001536009-0.0000001061-0.00000000420.0001701491-0.0000000042K(INVERSA)-0.0000000005-0.00000010610.00000000190.0000000002-0.0000002164-0.0000000002-0.0000000002-0.00000000420.00000000020.0000000023-0.0000001188-0.0000000008-0.00000021640.0001701491-0.0000002164-0.00000011880.0003581193-0.00000011880.0000000002-0.0000000042-0.0000000002-0.0000000008-0.00000011880.0000000023010000F=500000015000-700000-0.004695599114.03817727552U=-0.00325035033-0.00113387647.04824658225-0.00351658356

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1

6

3

4

5

2

1

6

34

5

PRACTIC 1PRACTICA N 0115 TON310 TON3CASO 2: DESPRECIANDO DEFORMACION AXIALCASO 1: CONSIDERANDO DEFORMACION AXIAL48411569710121212336514RIGIDEZ DE ELEMENTO 1CASO 1ELEMENTO 1 y 2E=251000EA/L1440949.16666667I=247178.75520833312EI/L^327574.1633587963A=1722.256EI/L24136124.50381944L3004EI/L=827224900.763889ANGULO902EI/L=413612450.381944SENO( A)1.0000SEN^21COSENO( A)0.00000COS^20.00000COS*SEN0.00000000456kg - cm.kg-cm000123U(elemento 1)F(elemento 1)U(elemento 2)F(elemento 2)27574.16340.0000-4136124.5038-27574.1634-0.0000-4136124.5038000-12,032.830-12,967.170.00001440949.16670.0000-0.0000-1440949.16670.0000000-8,097.1108,097.11K=-4136124.50380.0000827224900.76394136124.5038-0.0000413612450.38190002,009,387.0502,093,503.92-27574.1634-0.00004136124.503827574.16340.00004136124.5038140.584680950912,032.830.577922567112,967.17-0.0000-1440949.1667-0.00000.00001440949.1667-0.0000250.00561928858,097.11-0.0056192885-8,097.11-4136124.50380.0000413612450.38194136124.5038-0.0000827224900.763936-0.00098866981,600,460.89-0.00071771481,796,648.14ELEMENTO 3E=251000EA/L864569.5I=1977430.0416666712EI/L^35956.0192855A=3444.56EI/L22978009.64275L10004EI/L=1985339761.83333ANGULO02EI/L=992669880.916667SENO( A)0.0000SEN^20COSENO( A)1.00000COS^21.00000COS*SEN0.00000789101112123456U(elemento 3)F(elemento 3)U(elemento 6)F(elemento 6)864569.50000.00000.0000-864569.50000.00000.0000170.58468095095,843.091.06535134417,124.080.00005956.01932978009.64280.0000-5956.01932978009.6428280.0056192885-5,014.690.0077584453-3,082.42K=0.00002978009.64281985339761.83330.0000-2978009.6428992669880.916739-0.0009886698-2,641,830.83-0.000311621-1,321,405.76-864569.50000.00000.0000864569.50000.00000.00004100.5779225671-5,843.091.0571113114-7,124.080.0000-5956.0193-2978009.64280.00005956.0193-2978009.6428511-0.00561928855,014.69-0.00775844533,082.420.00002978009.6428992669880.91670.0000-2978009.64281985339761.8333612-0.0007177148-2,372,861.91-0.000754472-1,761,010.54RIGIDEZ DE ELEMENTO 4 Y 5E=251000EA/L1440949.16666667I=247178.75520833312EI/L^327574.1633587963A=1722.256EI/L24136124.50381944L3004EI/L=827224900.763889ANGULO902EI/L=413612450.381944SENO( A)1.0000SEN^21COSENO( A)0.00000COS^20.00000COS*SEN0.00000456101112123789U(elemento 4)F(elemento 4)U(elemento 5)F(elemento 5)27574.16340.0000-4136124.5038-27574.1634-0.0000-4136124.5038140.5846809509-7,875.920.5779225671-7,124.080.00001440949.16670.0000-0.0000-1440949.16670.0000250.0056192885-3,082.42-0.00561928853,082.42K=-4136124.50380.0000827224900.76394136124.5038-0.0000413612450.381936-0.00098866981,041,369.94-0.00071771481,076,213.76-27574.1634-0.00004136124.503827574.16340.00004136124.50387101.06535134417,875.921.05711131147,124.08-0.0000-1440949.1667-0.00000.00001440949.1667-0.00008110.00775844533,082.42-0.0077584453-3,082.42-4136124.50380.0000413612450.38194136124.5038-0.0000827224900.7639912-0.0003116211,321,405.76-0.0007544721,061,010.54

123456789101112919717.82670.00000.0000-864569.50.00000.0000-27574.1634-0.0000-4136124.50380.00000.00000.00000.00002887854.35262978009.64280.0000-5956.01932978009.6428-0.0000-1440949.16670.00000000.00002978009.64283639789563.36110.0000-2978009.6428992669880.91674136124.5038-0.0000413612450.3819000-864569.50.00000.0000919717.82670.00000.0000000-27574.1634-0.0000-4136124.50380-5956.0193-2978009.64280.00002887854.3526-2978009.6428000-0.0000-1440949.16670.0000K(SISTEMA)02978009.6428992669880.91670.0000-2978009.64283639789563.36110004136124.5038-0.0000413612450.3819-27574.1634-0.00004136124.5038000892143.66340.00004136124.5038-864569.50000.00000.0000-0.0000-1440949.1667-0.00000000.00001446905.18602978009.64280.0000-5956.01932978009.6428-4136124.50380.0000413612450.38190004136124.50382978009.64282812564662.59720.0000-2978009.6428992669880.9167000-27574.1634-0.00004136124.5038-864569.50000.00000.0000892143.66340.00004136124.5038000-0.0000-1440949.1667-0.00000.0000-5956.0193-2978009.64280.00001446905.1860-2978009.6428000-4136124.50380.0000413612450.38190.00002978009.6428992669880.91674136124.5038-2978009.64282812564662.59720.00002177250.0000000977-0.00000002250.0000212089-0.0000000977-0.00000002230.00002509870.0000001036-0.0000000010.0000250925-0.0000001036-0.00000000230.00000009770.0000006938-0.00000000070.00000009770.0000000002-0.00000000070.0000002990.0000006938-0.00000000070.0000002990.0000000002-0.0000000007-0.0000000225-0.00000000070.0000000003-0.00000002230.0000000007-0-0.0000000468-0.0000000007-0-0.00000004610.00000000070.00000000010.00002120890.0000000977-0.00000002230.0000217725-0.0000000977-0.00000002250.00002509250.0000001036-0.00000000230.0000250987-0.0000001036-0.000000001-0.00000009770.00000000020.0000000007-0.00000009770.00000069380.0000000007-0.0000002990.00000000020.0000000007-0.0000002990.00000069380.0000000007K(INVERSA)-0.0000000223-0.0000000007-0-0.00000002250.00000000070.0000000003-0.0000000461-0.00000000070.0000000001-0.00000004680.0000000007-00.00002509870.000000299-0.00000004680.0000250925-0.000000299-0.00000004610.00005457720.0000004085-0.00000002790.0000540035-0.0000004085-0.00000002680.00000010360.0000006938-0.00000000070.00000010360.0000000002-0.00000000070.00000040850.0000013876-0.00000000130.00000040850.0000000004-0.0000000013-0.000000001-0.0000000007-0-0.00000000230.00000000070.0000000001-0.0000000279-0.00000000130.0000000004-0.00000002680.0000000013-0.00000000010.00002509250.000000299-0.00000004610.0000250987-0.000000299-0.00000004680.00005400350.0000004085-0.00000002680.0000545772-0.0000004085-0.0000000279-0.00000010360.00000000020.0000000007-0.00000010360.00000069380.0000000007-0.00000040850.00000000040.0000000013-0.00000040850.00000138760.0000000013-0.0000000023-0.00000000070.0000000001-0.0000000010.0000000007-0-0.0000000268-0.0000000013-0.0000000001-0.00000002790.00000000130.000000000410000000F=0500000150000000-700000u10.5846809509u20.0056192885u3-0.0009886698u40.5779225671u5-0.0056192885u6-0.0007177148U=u71.0653513441u80.0077584453u9-0.000311621u101.0571113114u11-0.0077584453u12-0.000754472CASO 2ELEMENTO 1 y 2E=251000EA/L0I=247178.75520833312EI/L^327574.1633587963A=06EI/L24136124.50381944L3004EI/L=827224900.763889ANGULO902EI/L=413612450.381944SENO( A)1.0000SEN^21COSENO( A)0.00000COS^20.00000COS*SEN0.00000kg - cm.kg-cm32U(elemento 1)F(elemento 1)U(elemento 2)F(elemento 2)12827224900.76394136124.503813-0.00097147261,594,012.42-0.00071332111,807,561.76K=4136124.503827574.1634220.579682437511,966.130.579682437513,033.87

ELEMENTO 3E=251000EA/L0I=1977430.0416666712EI/L^35956.0192855A=06EI/L22978009.64275L10004EI/L=1985339761.83333ANGULO02EI/L=992669880.916667SENO( A)0.0000SEN^20COSENO( A)1.00000COS^21.00000COS*SEN0.00000

U(elemento 3)F(elemento 3)U(elemento 6)F(elemento 6)4613K=1985339761.8333992669880.916714-0.0009714726-2,636,795.53-0.000296182-1,322,091.71992669880.91671985339761.833336-0.0007133211-2,380,536.32-0.0007394904-1,762,150.62

E=251000EA/L0I=247178.75520833312EI/L^327574.1633587963A=06EI/L24136124.50381944L3004EI/L=827224900.763889ANGULO902EI/L=413612450.381944SENO( A)1.0000SEN^21COSENO( A)0.00000COS^20.00000COS*SEN0.00000

3265U(elemento 4)F(elemento 4)U(elemento 5)F(elemento 5)1245827224900.7639-4136124.5038413612450.38194136124.503813-0.00097147261,042,783.11-0.00071332111,072,974.57K=-4136124.503827574.1634-4136124.5038-27574.1634220.5796824375-7,882.920.5796824375-7,117.08413612450.3819-4136124.5038827224900.76394136124.503846-0.0002961821,322,091.71-0.00073949041,062,150.624136124.5038-27574.16344136124.503827574.1634551.0557111397,882.921.0557111397,117.08

3639789563.36110.0000992669880.9167413612450.38194136124.50380.00000.0000110296.65340.0000-4136124.5038-55148.3267-4136124.5038K(SISTEMA)992669880.91670.00003639789563.36110.00004136124.5038413612450.3819413612450.3819-4136124.50380.00002812564662.59724136124.5038992669880.91674136124.5038-55148.32674136124.50384136124.503855148.32671759264136124.50380.0000-4136124.5038413612450.3819992669880.91674136124.50382812564662.5972

0.0000000003-0.0000000222-0-0-0.00000004580.0000000001-0.00000002220.0000214631-0.0000000222-0.00000000140.0000250095-0.0000000014K(INVERSA)-0-0.00000002220.00000000030.0000000001-0.0000000458-0-0-0.00000000140.00000000010.0000000004-0.0000000265-0.0000000001-0.00000004580.0000250095-0.0000000458-0.00000002650.000053998-0.00000002650.0000000001-0.0000000014-0-0.0000000001-0.00000002650.0000000004010000F=500000015000-700000-0.000971472610.57968243752U=-0.00071332113-0.00029618241.0557111395-0.00073949046

2

1

6

3

4

5

2

1

6

34

5

PRACTICA 6PRACTICA N 0115 TON310 TON3CASO 2: DESPRECIANDO DEFORMACION AXIALCASO 1: CONSIDERANDO DEFORMACION AXIAL48411569710121212336514RIGIDEZ DE ELEMENTO 1CASO 1ELEMENTO 1 y 2E=251000EA/L1338666.66666667I=213333.33333333312EI/L^323798.5185185185A=16006EI/L23569777.77777778L3004EI/L=713955555.555556ANGULO902EI/L=356977777.777778SENO( A)1.0000SEN^21COSENO( A)0.00000COS^20.00000COS*SEN0.00000000456kg - cm.kg-cm000123U(elemento 1)F(elemento 1)U(elemento 2)F(elemento 2)23798.51850.0000-3569777.7778-23798.5185-0.0000-3569777.7778000-8,501.630-16,498.370.00001338666.66670.0000-0.0000-1338666.66670.000000026,405.85045,594.15K=-3569777.77780.0000713955555.55563569777.7778-0.0000356977777.77780001,762,702.9102,561,977.60-23798.5185-0.00003569777.777823798.51850.00003569777.7778140.76688763038,501.630.766552793716,498.37-0.0000-1338666.6667-0.00000.00001338666.6667-0.000025-0.019725486-26,405.85-0.0340593745-45,594.15-3569777.77780.0000356977777.77783569777.7778-0.0000713955555.555636-0.0027310258787,787.41-0.00048867332,387,532.08ELEMENTO 3E=251000EA/L658875I=85750012EI/L^35044.51171875A=21006EI/L22017804.6875L8004EI/L=1076162500ANGULO02EI/L=538081250SENO( A)0.0000SEN^20COSENO( A)1.00000COS^21.00000COS*SEN0.00000789101112123456U(elemento 3)F(elemento 3)U(elemento 6)F(elemento 6)658875.00000.00000.0000-658875.00000.00000.0000170.7668876303220.621.457087679616,277.750.00005044.51172017804.68750.0000-5044.51172017804.687528-0.019725486-6,424.42-0.0293098489-3,169.73K=0.00002017804.68751076162500.00000.0000-2017804.6875538081250.000039-0.0027310258-3,173,050.49-0.0022282434-2,031,411.88-658875.00000.00000.0000658875.00000.00000.00004100.7665527937-220.621.4323823104-16,277.750.0000-5044.5117-2017804.68750.00005044.5117-2017804.6875511-0.03405937456,424.42-0.04837939413,169.730.00002017804.6875538081250.00000.0000-2017804.68751076162500.0000612-0.0004886733-1,966,482.700.0006096876-504,374.42Fo(1)F(final)Fo(2)F(final)RIGIDEZ DE ELEMENTO 4 Y 50220.62016,277.752000013,575.581600012,830.272666666.66666667-506,383.822133333.333101921.45E=251000EA/L1338666.666666670-220.620-16,277.75I=213333.33333333312EI/L^323798.51851851852000026,424.421600019,169.73A=16006EI/L23569777.77777778-2666666.66666667-4,633,149.37-2133333.333-2637707.75L3004EI/L=713955555.555556ANGULO902EI/L=356977777.777778SENO( A)1.0000SEN^21COSENO( A)0.00000COS^20.00000COS*SEN0.00000456101112123789U(elemento 4)F(elemento 4)U(elemento 5)F(elemento 5)23798.51850.0000-3569777.7778-23798.5185-0.0000-3569777.7778140.76688763031,277.750.7665527937-16,277.750.00001338666.66670.0000-0.0000-1338666.66670.000025-0.01972548612,830.27-0.034059374519,169.73K=-3569777.77780.0000713955555.55563569777.7778-0.0000356977777.777836-0.0027310258-281,403.59-0.00048867332,245,617.29-23798.5185-0.00003569777.777823798.51850.00003569777.77787101.4570876796-1,277.751.432382310416,277.75-0.0000-1338666.6667-0.00000.00001338666.6667-0.0000811-0.0293098489-12,830.27-0.0483793941-19,169.73-3569777.77780.0000356977777.77783569777.7778-0.0000713955555.5556912-0.0022282434-101,921.450.00060968762,637,707.75

123456789101112706472.03700.00000.0000-6588750.00000.0000-23798.5185-0.0000-3569777.77780.00000.00000.00000.00002682377.84512017804.68750.0000-5044.51172017804.6875-0.0000-1338666.66670.00000000.00002017804.68752504073611.11110.0000-2017804.6875538081250.00003569777.7778-0.0000356977777.7778000-6588750.00000.0000706472.03700.00000.0000000-23798.5185-0.0000-3569777.77780-5044.5117-2017804.68750.00002682377.8451-2017804.6875000-0.0000-1338666.66670.0000K(SISTEMA)02017804.6875538081250.00000.0000-2017804.68752504073611.11110003569777.7778-0.0000356977777.7778-23798.5185-0.00003569777.7778000682673.51850.00003569777.7778-658875.00000.00000.0000-0.0000-1338666.6667-0.00000000.00001343711.17842017804.68750.0000-5044.51172017804.6875-3569777.77780.0000356977777.77780003569777.77782017804.68751790118055.55560.0000-2017804.6875538081250.0000000-23798.5185-0.00003569777.7778-658875.00000.00000.0000682673.51850.00003569777.7778000-0.0000-1338666.6667-0.00000.0000-5044.5117-2017804.68750.00001343711.1784-2017804.6875000-3569777.77780.0000356977777.77780.00002017804.6875538081250.00003569777.7778-2017804.68751790118055.55560.00002718160.0000001272-0.00000003890.0000264433-0.0000001272-0.00000003850.00003324390.0000001387-0.00000000310.0000332355-0.0000001387-0.00000000530.00000012720.0000007467-0.00000000080.00000012720.0000000003-0.00000000080.0000003930.0000007467-0.00000000090.0000003930.0000000003-0.0000000009-0.0000000389-0.00000000080.0000000005-0.00000003850.0000000008-0-0.0000000821-0.0000000009-0-0.0000000810.00000000090.00000000010.00002644330.0000001272-0.00000003850.0000271816-0.0000001272-0.00000003890.00003323550.0000001387-0.00000000530.0000332439-0.0000001387-0.0000000031-0.00000012720.00000000030.0000000008-0.00000012720.00000074670.0000000008-0.0000003930.00000000030.0000000009-0.0000003930.00000074670.0000000009K(INVERSA)-0.0000000385-0.0000000008-0-0.00000003890.00000000080.0000000005-0.000000081-0.00000000090.0000000001-0.00000008210.0000000009-00.00003324390.000000393-0.00000008210.0000332355-0.000000393-0.0000000810.00007453240.0000005432-0.00000005210.0000737793-0.0000005432-0.00000005030.00000013870.0000007467-0.00000000090.00000013870.0000000003-0.00000000090.00000054320.0000014934-0.00000000180.00000054320.0000000006-0.0000000018-0.0000000031-0.0000000009-0-0.00000000530.00000000090.0000000001-0.0000000521-0.00000000180.0000000007-0.00000005030.0000000018-0.00000000010.00003323550.000000393-0.0000000810.0000332439-0.000000393-0.00000008210.00007377930.0000005432-0.00000005030.0000745324-0.0000005432-0.0000000521-0.00000013870.00000000030.0000000009-0.00000013870.00000074670.0000000009-0.00000054320.00000000060.0000000018-0.00000054320.00000149340.0000000018-0.0000000053-0.00000000090.0000000001-0.00000000310.0000000009-0-0.0000000503-0.0000000018-0.0000000001-0.00000005210.00000000180.0000000007`-SUMA(Fo)F( total)100000100000-20000-200000-2666666.667-2666666.66666667000F=0-20000-200000+2666666.667=2666666.66666667150000150000-16000-160000-2133333.333-2133333.333333330000-16000-1600002133333.3332133333.33333333u10.7668876303u2-0.019725486u3-0.0027310258u40.7665527937u5-0.0340593745u6-0.0004886733U=u71.4570876796u8-0.0293098489u9-0.0022282434u101.4323823104u11-0.0483793941u120.0006096876PREGUNTA 2PLACASELEMENTO 1 E=251000EA/L7530000I=6750000012EI/(1+)L^31882500A=90006EI/(1+)L^2282375000L300(4+)EI/(1+)L98831250000ANGULO90(2-)EI/(1+)L-14118750000SENO( A)1.0000SEN^21COSENO( A)0.00000COS^20.00000 =3(h/l)^23COS*SEN0.00000kg - cm.kg-cmU(elemento 1)F(elemento 1)U(elemento 3)F(elemento 3)1298831250000.0000282375000.00001-0.00011369-2,783,106.13-0.0001246209-472,857.12K=282375000.00001882500.000020.02993542224,250.230.02993542210,749.7732ELEMENTO 238247619047.6190143428571.42863K=143428571.4286956190.47622ELEMENTO 2 Y 5E=251000EA/L0I=54000012EI/L^325413.75A=06EI/L25082750L4004EI/L=1355400000ANGULO02EI/L=677700000SENO( A)0.0000SEN^20COSENO( A)1.00000COS^21.00000a=150COS*SEN0.00000b=100U(elemento 2)F(elemento 2)U(elemento 5)F(elemento 5)4613K=3452034375.00002329593750.000014-0.00011369-682,777.68-0.0001373678-791,474.442329593750.00002626087500.000036-0.0001246209-592,116.76-0.0001361938-677,667.87

ELEMENTO 4E=251000EA/L5020000I=6750000012EI/(1+)L^31882500A=60006EI/(1+)L^2282375000L300(4+)EI/(1+)L98831250000ANGULO90(2-)EI/(1+)L-14118750000SENO( A)1.0000SEN^21COSENO( A)0.00000COS^20.00000 =3(h/l)^23COS*SEN0.00000

U(elemento 4)F(elemento 4)U(elemento 6)F(elemento 6)124598831250000.0000-282375000.0000-14118750000.0000282375000.00001-0.000113693,465,883.81-0.00012462091,064,973.88K=-282375000.00001882500.0000-282375000.0000-1882500.000020.029935422-14,191.190.029935422-5,808.81-14118750000.0000-282375000.000098831250000.0000282375000.00004-0.0001373678791,474.44-0.0001361938677,667.87282375000.0000-1882500.0000282375000.00001882500.000050.075132565714,191.190.07513256575,808.81

ELEMENTO 6326538247619047.6190-143428571.42864780952380.9524143428571.42863-143428571.4286956190.4762-143428571.4286-956190.476224780952380.9524-143428571.428638247619047.6190143428571.42866143428571.4286-956190.4762143428571.4286956190.47625

201114534375.00000.00002329593750.0000-14118750000.0000282375000.00000.00000.00005677380.95240.0000-282375000.0000-2838690.4762-143428571.4286K(SISTEMA)2329593750.00000.000079121325595.23810.0000143428571.42864780952380.9524-14118750000.0000-282375000.00000.0000102283284375.0000282375000.00002329593750.0000282375000.0000-2838690.4762143428571.4286282375000.00002838690.4762143428571.42860.0000-143428571.42864780952380.95242329593750.0000143428571.428640873706547.6190

0-0.000000001600-0.00000000450-0.00000000160.0000005966-0.0000000018-0.00000000140.0000010493-0.0000000013K(INVERSA)0-0.000000001800-0.000000004900-0.000000001400-0.00000000580-0.00000000450.0000010493-0.0000000049-0.00000000580.0000029697-0.00000000580-0.000000001300-0.00000000580015000F=00200000-0.0001136910.0299354222U=-0.00012462093-0.000137367840.07513256575-0.00013619386

2

1

6

3

4

5

2

1

6

34

5

portico inclinadoPRACTICA N 015 ton32 ton615

RIGIDEZ DE ELEMENTO 1-45ELEMENTO 1 y 44E=2.10E+07EA/L350006I=1.20E-0412EI/L^3140A=0.016EI/L2420L64EI/L=1680ANGULO902EI/L=840SENO( A)1.0000SEN^21COSENO( A)0.00000COS^20.00000COS*SEN0.00000000789kg - cm.kg-cm000123U(elemento 1)F(elemento 1)U(elemento 4)F(elemento 4)140.00000.0000-420.0000-140.0000-0.0000-420.00000000.080-2.080.000035000.00000.0000-0.0000-35000.00000.00000002.1302.87K=-420.00000.00001680.0000420.0000-0.0000840.00000000.5305.90-140.0000-0.0000420.0000140.00000.0000420.0000170.0049730342-0.080.01238244212.08-0.0000-35000.0000-0.00000.000035000.0000-0.000028-0.0000608186-2.13-0.0000820385-2.87-420.00000.0000840.0000420.0000-0.00001680.000039-0.0018533451-1.020.00083009116.605ELEMENTO 2E=2.10E+07EA/L103989.3893791494I=7.00E-0412EI/L^3334.6784945536A=0.046EI/L21351.7241379316L8.07774721074EI/L=7279.25725654042ANGULO21.80135850532EI/L=3639.6286282702SENO( A)0.3714SEN^20.1379304208angulo(+)COSENO( A)0.92848COS^20.862071COS*SEN0.344833

123456U(elemento 3)F(elemento 3)89692.251535742.9370-502.0166-89692.2515-35742.9370-502.016610.00497303422.0835742.937014631.81641255.0448-35742.9370-14631.81641255.04482-0.00006081862.13K=-502.01661255.04487279.2573502.0166-1255.04483639.62863-0.00185334511.02-89692.2515-35742.9370502.016689692.251535742.9370502.016640.0086834106-2.08-35742.9370-14631.8164-1255.044835742.937014631.8164-1255.04485-0.009407311-2.13-502.01661255.04483639.6286502.0166-1255.04487279.257360.0002535938.69RIGIDEZ DE ELEMENTO 3

E=2.10E+07EA/L103989.3893791492I=7.00E-0412EI/L^3334.6784945536angulo(-)A=0.046EI/L21351.7241379311L8.07774721074EI/L=7279.2572565404ANGULO-21.80135850532EI/L=3639.628628270235SENO( A)-0.3714SEN^20.1379304208COSENO( A)0.92848COS^20.862074COS*SEN-0.344836

456789U(elemento 4)F(elemento 4)89692.2515-35742.9370502.0166-89692.251535742.9370502.016640.00868341062.08-35742.937014631.81641255.044835742.9370-14631.81641255.04485-0.009407311-2.87K=502.01661255.04487279.2573-502.0166-1255.04483639.628660.000253593-8.69-89692.251535742.9370-502.016689692.2515-35742.9370-502.016670.0123824421-2.0835742.9370-14631.8164-1255.0448-35742.937014631.8164-1255.04488-0.00008203852.87502.01661255.04483639.6286-502.0166-1255.04487279.257390.0008300911-6.60

12345678989832.251535742.9370-82.0166-89692.2515-35742.9370-502.01660.00000.00000.000035742.937049631.81641255.0448-35742.9370-14631.81641255.04480.00000.00000.0000-82.01661255.04488959.2573502.0166-1255.04483639.62860.00000.00000.0000-89692.2515-35742.9370502.0166179384.50300.00001004.0333-89692.251535742.9370502.0166-35742.9370-14631.8164-1255.04480.000029263.63280.000035742.9370-14631.81641255.0448K(SISTEMA)-502.01661255.04483639.62861004.03330.000014558.5145-502.0166-1255.04483639.62860.00000.00000.0000-89692.251535742.9370-502.016689832.2515-35742.9370-82.01660.00000.00000.000035742.9370-14631.8164-1255.0448-35742.937049631.8164-1255.04480.00000.00000.0000502.01661255.04483639.6286-82.0166-1255.04488959.2573

llll0.00469623710.000005305-0.00012872380.00434170530.0008838880.00012679650.003981501-0.000005305-0.00038290320.0000053050.0000285686-0.00000176830.00001101770.0000142857-0.00000197240.0000053050.0000000028-0.0000017683-0.0001287238-0.00000176830.0001869546-0.00025675890.0003191795-0.0000422655-0.00038290320.0000017683-0.00001641230.00434170530.0000110177-0.00025675890.004352403800.0001257420.0043417053-0.0000110177-0.0002567589K(INVERSA)0.0008838880.00001428570.000319179500.00223501740-0.0008838880.0000142857-0.00031917950.0001267965-0.0000019724-0.00004226550.00012574200.00009023390.00012679650.0000019724-0.00004226550.0039815010.000005305-0.00038290320.0043417053-0.0008838880.00012679650.0046962371-0.000005305-0.0001287238-0.0000053050.00000000280.0000017683-0.00001101770.00001428570.0000019724-0.0000053050.00002856860.0000017683lllll-0.0003829032-0.0000017683-0.0000164123-0.0002567589-0.0003191795-0.0000422655-0.00012872380.00000176830.0001869546

2000F=-50000

u10.00497303420.4973034194cmu2-0.0000608186-0.0060818607cmu3-0.0018533451-0.0018533451rad.u40.00868341060.868341055cmu5-0.009407311-0.9407310966cmu60.0002535930.000253593rad.U=u70.01238244211.2382442144cmu8-0.0000820385-0.0082038536cmu90.00083009110.0008300911rad.

PREGUNTA 2PLACASELEMENTO 1 E=251000EA/L7530000I=6750000012EI/(1+)L^31882500A=90006EI/(1+)L^2282375000L300(4+)EI/(1+)L98831250000ANGULO90(2-)EI/(1+)L-14118750000SENO( A)1.0000SEN^21COSENO( A)0.00000COS^20.00000 =3(h/l)^23COS*SEN0.00000kg - cm.kg-cmU(elemento 1)F(elemento 1)U(elemento 3)F(elemento 3)1298831250000.0000282375000.00001-0.00011369-2,783,106.13-0.0001246209-472,857.12K=282375000.00001882500.000020.02993542224,250.230.02993542210,749.7732ELEMENTO 238247619047.6190143428571.42863K=143428571.4286956190.47622ELEMENTO 2 Y 5E=251000EA/L0I=54000012EI/L^325413.75A=06EI/L25082750L4004EI/L=1355400000ANGULO02EI/L=677700000SENO( A)0.0000SEN^20COSENO( A)1.00000COS^21.00000a=150COS*SEN0.00000b=100U(elemento 2)F(elemento 2)U(elemento 5)F(elemento 5)4613K=3452034375.00002329593750.000014-0.00011369-682,777.68-0.0001373678-791,474.442329593750.00002626087500.000036-0.0001246209-592,116.76-0.0001361938-677,667.87

ELEMENTO 4E=251000EA/L5020000I=6750000012EI/(1+)L^31882500A=60006EI/(1+)L^2282375000L300(4+)EI/(1+)L98831250000ANGULO90(2-)EI/(1+)L-14118750000SENO( A)1.0000SEN^21COSENO( A)0.00000COS^20.00000 =3(h/l)^23COS*SEN0.00000

U(elemento 4)F(elemento 4)U(elemento 6)F(elemento 6)124598831250000.0000-282375000.0000-14118750000.0000282375000.00001-0.000113693,465,883.81-0.00012462091,064,973.88K=-282375000.00001882500.0000-282375000.0000-1882500.000020.029935422-14,191.190.029935422-5,808.81-14118750000.0000-282375000.000098831250000.0000282375000.00004-0.0001373678791,474.44-0.0001361938677,667.87282375000.0000-1882500.0000282375000.00001882500.000050.075132565714,191.190.07513256575,808.81

ELEMENTO 6326538247619047.6190-143428571.42864780952380.9524143428571.42863-143428571.4286956190.4762-143428571.4286-956190.476224780952380.9524-143428571.428638247619047.6190143428571.42866143428571.4286-956190.4762143428571.4286956190.47625

201114534375.00000.00002329593750.0000-14118750000.0000282375000.00000.00000.00005677380.95240.0000-282375000.0000-2838690.4762-143428571.4286K(SISTEMA)2329593750.00000.000079121325595.23810.0000143428571.42864780952380.9524-14118750000.0000-282375000.00000.0000102283284375.0000282375000.00002329593750.0000282375000.0000-2838690.4762143428571.4286282375000.00002838690.4762143428571.42860.0000-143428571.42864780952380.95242329593750.0000143428571.428640873706547.6190

0-0.000000001600-0.00000000450-0.00000000160.0000005966-0.0000000018-0.00000000140.0000010493-0.0000000013K(INVERSA)0-0.000000001800-0.000000004900-0.000000001400-0.00000000580-0.00000000450.0000010493-0.0000000049-0.00000000580.0000029697-0.00000000580-0.000000001300-0.00000000580015000F=00200000-0.0001136910.0299354222U=-0.00012462093-0.000137367840.07513256575-0.00013619386

3

1

2

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