Deformación de Vigas Isostaticas
29
UNIVERSIDAD NACIONAL DE HUANCAVE FACULTAD DE CIENCIAS DE INGENIERÍA ESCUELA ACADÉMICO PROFESIONAL DE INGENIERÍA C CATEDRA: Resistencia de Materiales CATEDRÁTICO: Ing.Caballero Sanchez Jaime INTEGRANTE: SOTO OLARTE,Yony CICLO: VI CÓDIGO: 201151127 1.Utilizando el método de la doble integral.Determinar: Fuerza cortante de la viga: Parámetros Posicion V 0.00 0 W 0.00 18.2 W1 3.00 -2.8 W2 3.00 -16.8 W3 6.00 -37.8 RA 6≤X≤10 6.00 28.70 RB 10.00 0.7 Rd 10≤X≤14 10.00 -9.8 Rc 14.00 -9.8 14.00 14 E 16.80 14 I 16.80 0 18.00 0 Momento Flector: Posición M 0 0 3 23.1 6 -58.8 10 0 14 -39.2 16.8 0 18 1.24E-14 0≤X≤3 3≤X≤6
description
resis 2
Transcript of Deformación de Vigas Isostaticas
M.Doble IntegracinUNIVERSIDAD NACIONAL DE HUANCAVELICAFACULTAD DE CIENCIAS DE INGENIERAESCUELA ACADMICO PROFESIONAL DE INGENIERA CIVIL-HVCA
CATEDRA:Resistencia de Materiales
CATEDRTICO:Ing.Caballero Sanchez Jaime
INTEGRANTE:SOTO OLARTE,Yony
CICLO:VI
CDIGO:201151127
1.Utilizando el mtodo de la doble integral.Determinar:
Fuerza cortante de la viga:EDITAR :ParmetrosPosicionVCARGAL160X30.000WDistribuida7L240.0018.2W1Puntual14L343.00-2.8W2Puntual10.5Viga II3X63.00-16.8W3Puntual146.00-37.8RAPuntual18.2Rd*L3=95.26X106.0028.70RBPuntual66.50Viga I10.000.7RdPuntual23.8Ra*(L1+L2)+Rb*(L2)=44810X1410.00-9.8Rc0.714.00-9.8Toda la Viga14.0014E2.10E+06Kg/cm^2Ra+Rb+Rd=108.516.8014I1800cm^4Ra+Rb=84.716.80018.000
Momento Flector:PosicinM00323.16-58.810014-39.216.80181.24E-14Metodo de la Doble Integracin:La flecha que se produce en cada tramo:Corte 1-1 0 x 3
GiroPosicin (m)00.10.20.30.40.40.60.70.80.911.11.21.31.41.51.61.71.81.922.12.22.32.42.52.62.72.82.933Giro (cm)-0.0094444444-0.009420679-0.0093506173-0.0092361111-0.0090790123-0.0090790123-0.00864-0.008370679-0.0081-0.0077-0.007345679-0.006942284-0.0065-0.0061-0.0055728395-0.0051-0.00455-0.0040-0.0034-0.0029-0.0023-0.0017-0.0011-0.00046450620.00020.00080.00140493830.00203055560.00270.00327438270.00390.003889Deformacin (cm)0-0.0009436497-0.0018825926-0.0028122917-0.0037283951-0.0037283951-0.0055033333-0.0063543904-0.0071762963-0.0080-0.0087191358-0.0094337731-0.0101066667-0.0107351312-0.0113166667-0.0118489583-0.0123298765-0.0127574769-0.01313-0.0134458719-0.0137037037-0.0139022917-0.0140406173-0.0141178472-0.0141333333-0.0140866127-0.0139774074-0.013805625-0.013571358-0.0132748843-0.0129166667-0.0129166667
Flecha
Si x=0 ; y =0C2=0
Si x=3 ; I=IIIC1=C3
Si x=3 ; II=IVC4=0Corte 2-2 3 x 6
Posicin (m)33.13.23.33.43.53.63.73.83.944.14.24.34.44.54.64.74.84.955.15.25.35.45.55.65.75.85.96Giro (cm)0.00388888890.00447746910.00501975310.00551388890.00595802470.00635030860.006690.00697191360.00720.00740.00746913580.00751141980.00750.00740.00724197530.00700.006710.00630.00590.00540.00480.00410.00330.0024336420.00150.0005-0.0006691358-0.0018861111-0.0032-0.0046052469-0.0061Deformacin (cm)-0.0129166667-0.0124979707-0.012022716-0.011495625-0.0109216049-0.0103057485-0.0096533333-0.0089698225-0.0082608642-0.0075-0.0067901235-0.0060405633-0.0053-0.0045-0.0038-0.0030989583-0.0024119753-0.0017587114-0.0011466667-0.0005835262-0.00010.0003643750.00073283950.00101980710.00121666670.00131462190.00130469140.00117770830.0009243210.00053499230
En IVSi x=6 ; y =0
C3=-35.7
Giro
Flecha
Corte 3-3 6 x 10
Posicin (m)66.16.26.36.46.56.66.76.86.977.17.27.37.47.57.67.77.87.988.18.28.38.48.58.68.78.88.999.19.29.39.49.59.69.79.89.910Giro (cm)-0.0061111111-0.0076290123-0.0090728395-0.0104444444-0.011745679-0.0129783951-0.01414-0.015245679-0.0163-0.0173-0.0181790123-0.0190395062-0.0198-0.0206-0.0212950617-0.0219-0.02255-0.02310-0.0236-0.0241-0.0245-0.0249-0.0252-0.0255617284-0.0258-0.0261-0.026317284-0.0265111111-0.0267-0.0268228395-0.0269-0.0270-0.0271-0.0272-0.0272-0.0273-0.0273-0.0273-0.0273-0.0273-0.0273Deformacin (cm)0.0000-0.0006876312-0.0015233333-0.0024997917-0.0036098765-0.0048466435-0.0062033333-0.0076733719-0.0092503704-0.0109-0.0127006173-0.0145620139-0.0165-0.0185-0.0206-0.0227864583-0.025011358-0.0272940509-0.02963-0.0320148534-0.0344-0.0369147917-0.0394220988-0.0419627546-0.0445333333-0.0471305941-0.0497514815-0.052393125-0.0550528395-0.057728125-0.0604166667-0.0631163349-0.0658251852-0.0685414583-0.0712635802-0.073990162-0.07672-0.0794520756-0.08219-0.0849197917-0.088
Si x=6 ; V =IIIC5=C3Si x=10 ;Z=0 VI =VIIIC6=0
Giro
Flecha
Corte 4-4 0 Z 4Viga II
Posicin (m)40.10.20.30.40.40.60.70.80.911.11.21.31.41.51.61.71.81.922.12.22.32.42.52.62.72.82.94Giro (cm)-0.0480864198-0.027358642-0.0273975309-0.0274623457-0.0275530864-0.0275530864-0.02781-0.0279808642-0.028-0.0284-0.0286419753-0.0289141975-0.0292-0.0295-0.0298864198-0.0303-0.03066-0.0311-0.0315-0.0320-0.0325-0.0331-0.0336-0.0342030864-0.0348-0.0354-0.036108642-0.036795679-0.0375-0.0382475309-0.0481Deformacin (cm)00.1343020370.13156444440.12882166670.12607111110.12607111110.12053629630.11774685190.11493925930.11210.10925925930.10638166670.10350.10050.09760.090.09151407410.08842648150.08529481480.08211648150.07890.07560944440.07227555560.06888462960.06543407410.06192129630.05834370370.05469870370.05098370370.04719611110
Si Z=0 ; X=10; V =VIIEn VIII Z=4;Y=0
C7=-103.3666666667C8=518.00
Giro
Flecha
Corte 5-5 4 Z 6.8Viga II
Posicin (m)44.14.24.34.44.54.64.74.84.955.15.25.35.45.55.65.75.85.966.16.26.36.46.56.66.76.8Giro (cm)-0.0480864198-0.0491049383-0.0500864198-0.0510308642-0.0519382716-0.052808642-0.05364-0.0544382716-0.055-0.0559-0.0566049383-0.0572530864-0.0579ERROR:#VALUE!-0.0589753086-0.0595-0.05994-0.0604-0.0608-0.0611-0.0614-0.0617-0.0619-0.0621419753-0.0623-0.0624-0.0625308642-0.0625864198-0.0626Deformacin (cm)0-0.0048598765-0.0098197531-0.0148759259-0.0200246914-0.0252623457-0.0305851852-0.0359895062-0.0414716049-0.0470-0.052654321-0.0583475309-0.0641-0.0699-0.0758-0.08-0.0876839506-0.0936993827-0.0997555556-0.1058487654-0.1120-0.1181314815-0.1243135802-0.1305179012-0.1367407407-0.1429783951-0.1492271605-0.1554833333-0.1617432099
Si Z=4 ; IX =VIIEn VIII Z=4;Y=0
C7=C9C10=518.00
Giro
Flecha
Esfuerzo Cort VigasViga Isostatica
Ra=109.787999997Fmx=129Mmn=675Rb=192.111999999Fmn=-59.2Mmn=0
Diagrama de la vigaDiagrama de fuerza cortante de la vigaInercia de la FigPosicinreaXparXAIc.gA(X-Xpar)^2EsteinerI6000100600000200000006096093.7526096093.75II18001853330001350005080078.1255215078.125II18001853330001350005080078.1255215078.125X=131.8753.65E+070.0000365262Donde t=(Vmax*Y*A)/(I*b)Analizar el esfuerzo a cada 5mmPosicinVmaxYYAAbbTT(Mpa)T(Mpa)01290.131875000.030.000E+0000.0000.0051290.1293750.13392857140.000150.009450.030.152.285E+030.00228457270.0300.011290.1270.13596774190.00030.00930.030.154.481E+030.00448085280.0300.0151290.1243750.13799180330.000450.009150.030.156.589E+030.00658884020.0300.021290.1218750.140.00060.0090.030.158.609E+030.0086085350.0300.0251290.1193750.14199152540.000750.008850.030.151.054E+040.0105399370.0300.031290.1168750.14396551720.00090.00870.030.151.238E+040.01238304640.0290.0351290.1143750.14592105260.001050.008550.030.151.414E+040.01413786320.0290.041290.1118750.14785714290.00120.00840.030.151.580E+040.01580438730.0290.0451290.1093750.14977272730.001350.008250.030.151.738E+040.01738261870.0290.051290.1068750.15166666670.00150.00810.030.151.887E+040.01887255740.0290.0551290.1043750.15353773580.001650.007950.030.152.027E+040.02027420350.0290.061290.1018750.15538461540.00180.00780.030.152.159E+040.02158755690.0290.0651290.0993750.15720588240.001950.007650.030.152.281E+040.02281261760.0280.071290.0968750.1590.00210.00750.030.152.395E+040.02394938570.0280.0751290.0943750.16076530610.002250.007350.030.152.500E+040.02499786110.0280.081290.0918750.16250.00240.00720.030.152.596E+040.02595804390.0280.0851290.0893750.16420212770.002550.007050.030.152.683E+040.0268299340.0270.091290.0868750.16586956520.00270.00690.030.152.761E+040.02761353140.0270.0951290.0843750.16750.002850.006750.030.152.831E+040.02830883610.0270.11290.0818750.16909090910.0030.00660.030.152.892E+040.02891584820.0260.1051290.0793750.17063953490.003150.006450.030.152.943E+040.02943456760.0260.111290.0768750.17214285710.00330.00630.030.152.986E+040.02986499440.0260.1151290.0743750.1735975610.003450.006150.030.153.021E+040.03020712840.0250.121290.0718750.1750.00360.0060.030.153.046E+040.03046096990.0250.1251290.0693750.17634615380.003750.005850.030.153.063E+040.03062651860.0240.131290.0668750.17763157890.00390.00570.030.153.070E+040.03070377470.0240.1351290.0643750.17885135140.004050.005550.030.153.069E+040.03069273810.0230.141290.0618750.180.00420.00540.030.153.059E+040.03059340880.0230.1451290.0593750.18107142860.004350.005250.030.153.041E+040.03040578690.0220.151290.0568750.18205882350.00450.00510.030.153.013E+040.03012987240.0220.1551290.0543750.18295454550.004650.004950.030.152.977E+040.02976566510.0210.161290.0518750.183750.00480.00480.030.152.931E+040.02931316520.0210.1651290.0493750.18443548390.004950.004650.030.152.877E+040.02877237260.0200.171290.0468750.1850.00510.00450.030.152.814E+040.02814328740.0200.1751290.0443750.18543103450.005850.004350.150.156.112E+030.00611205980.0190.181290.0418750.18571428570.00660.00420.150.156.507E+030.00650716950.0180.1851290.0393750.18583333330.007350.004050.150.156.814E+030.00681398650.0180.191290.0368750.18576923080.00810.00390.150.157.033E+030.00703251090.0170.1951290.0343750.18550.008850.003750.150.157.163E+030.00716274250.0160.21290.03187500.009600.150.150.000E+000.00720468160.000Tmx0.0072046816
