Sheet1MIHAITA LILIAN-IONUTTEMA 126.03.2014P.C.C.I.Z.S,GRUPA1*SOLUTIILE TEORIEI ELASTICITATII *Baraj triunghiular supus la presiune hidrostaticaDATE DE TEMA:

N=17-numar de ordineH=3+0.1*N=4.7mapa=10*KN/m3beton=25KN/m3Cerinte:1)Sa se determine folosind M.E.F diagramele de eforturi unitare x,y,xyin sectiunea A-A cu urmatoarele tipuri de elemente finite:a)b) -modelare plana(SPT+SPD) c) -shell(membrane) d) -solid2)Compararea rezultatelor cu solutiile T.E3)Studiu privind convergenta rezultatelor in functie de numarul de elemente finite raportat la x,max cu comparare x,maxT.E4)Deplasare orizontala la varf-element finit tip shell

DETALIEREA TENSIUNILOR UNITARE CONFORM TEORIEI ELASTICITATIIx=H-H/4=3.525mtg=1Diagrame asociate din T.E*PRIN 21 PUNCTE(CONFORM SAP -20 ELEMENTE FINITE)Nr.yxyxy10-35.625-35.25020.18-34.725-35.25-1.830.36-33.825-35.25-3.640.54-32.925-35.25-5.450.72-32.025-35.25-7.260.9-31.125-35.25-971.08-30.225-35.25-10.881.26-29.325-35.25-12.691.44-28.425-35.25-14.4101.62-27.525-35.25-16.2111.8-26.625-35.25-18121.98-25.725-35.25-19.8132.16-24.825-35.25-21.6142.34-23.925-35.25-23.4152.52-23.025-35.25-25.2162.7-22.125-35.25-27172.88-21.225-35.25-28.8183.06-20.325-35.25-30.6193.24-19.425-35.25-32.4203.42-18.525-35.25-34.2213.6-17.625-35.25-36*PRIN 13 PUNCTE(CONFORM SAP -12 ELEMENTE FINITE)Nr.yxyxy10-35.625-35.25020.3-34.125-35.25-330.6-32.625-35.25-640.9-31.125-35.25-951.2-29.625-35.25-1261.5-28.125-35.25-1571.8-26.625-35.25-1882.1-25.125-35.25-2192.4-23.625-35.25-24102.7-22.125-35.25-27113-20.625-35.25-30123.3-19.125-35.25-33133.6-17.625-35.25-361) a)MODEL MEF-plane strain1) a) DIAGRAME MODEL MEF-plane strain*PRIN 21 PUNCTE(CONFORM SAP -20 ELEMENTE FINITE)*PRIN 21 PUNCTE(CONFORM SAP -20 ELEMENTE FINITE)Nr.yxyxy10-35.72-34.28-1.713.63.620.18-35.72-33.39-1.763.423.330.36-34.86-31.35-9.883.24340.54-33.07-28.83-13.293.062.750.72-30.61-25.13-15.372.882.460.9-27.86-21.53-17.522.72.171.08-25.19-15.96-19.192.521.881.26-22.97-11.13-20.322.341.591.44-21.13-6.59-20.932.161.2101.62-19.67-2.15-21.221.980.9111.8-18.565.44-21.351.80.6121.98-17.789.73-21.391.620.3132.16-16.8513.56-21.431.440142.34-17.0716.92-21.491.26152.52-17.1119.75-21.661.08162.7-17.420.96-22.050.9172.88-18.2523.59-22.170.72183.06-19.4224.47-23.030.54193.24-20.9225.16-23.620.36203.42-22.8925.71-24.250.18213.6-23.5125.49-24.8601) a)MODEL MEF-plane strain1) a) DIAGRAME MODEL MEF-plane strain*PRIN 13 PUNCTE(CONFORM SAP -12 ELEMENTE FINITE)*PRIN 13 PUNCTE(CONFORM SAP -12 ELEMENTE FINITE)Nr.yxyxy10-34.96-28.64-2.5220.3-33.58-31.02-5.2930.6-30.97-27.93-1140.9-27.31-19.88-15.6951.2-22.97-11.66-18.0761.5-20-3.76-19.271.8-17.953.5-19.7882.1-16.9410.004-20.1892.4-16.7515.57-20.62102.7-17.3320-21.22113-18.722.97-22123.3-2125-22.91133.6-22.624.65-23.73

1) b)MODEL MEF-plane stress1) b) DIAGRAME MODEL MEF-plane stress*PRIN 13 PUNCTE(CONFORM SAP -12 ELEMENTE FINITE)*PRIN 13 PUNCTE(CONFORM SAP -12 ELEMENTE FINITE)Nr.yxyxy10-34.92-27.18-2.5920.3-33.59-29.82-5.4130.6-30.97-27.07-11.1340.9-27.25-19.33-15.7551.2-22.92-11.43-18.0461.5-19.82-3.82-19.0971.8-17.813.21-19.5982.1-16.739.53-19.8792.4-16.4514.98-20.21102.7-16.9119.34-20.73113-18.2422.32-21.46123.3-20.423.58-22.35133.6-22.1624.09-23.19

1) c)MODEL MEF-shell1) c) DIAGRAME MODEL MEF-shell*PRIN 13 PUNCTE(CONFORM SAP -12 ELEMENTE FINITE)*PRIN 13 PUNCTE(CONFORM SAP -12 ELEMENTE FINITE)Nr.yxyxy10-34.71-28.33-2.2720.3-33.13-30.63-4.6930.6-30.95-27.65-10.7940.9-27.31-19.96-16.2151.2-22.88-11.603-18.1961.5-19.75-3.89-19.2971.8-17.753.43-19.7882.1-16.749.92-20.1292.4-16.5215.53-20.51102.7-17.1219.96-21.06113-18.5122.91-21.82123.3-20.8724.45-22.58133.6-21.9122.84-24.35

1) d)MODEL MEF-solid1) d) DIAGRAME MODEL MEF-solid*PRIN 13 PUNCTE(CONFORM SAP -12 ELEMENTE FINITE)*PRIN 13 PUNCTE(CONFORM SAP -12 ELEMENTE FINITE)Nr.yxyxy10-35.46-35.68-1.1720.3-33.98-34.38-9.8730.6-30.76-29.13-12.3340.9-28.43-23.68-15.2551.2-24.05-13.55-18.9161.5-20.79-5.22-19.671.8-18.712.68-20.5982.1-15.08-13.92-21.7292.4-15.86-17.52-21.88102.7-17.39-20.31-22.47113-18.89-21.98-23.57123.3-21.85-23.87-25.69133.6-23.6-25.2-27.95

2)Compararea rezultatelor cu solutiile T.E2)Compararea rezultatelor cu solutiile T.E2)Compararea rezultatelor cu solutiile T.E2)Compararea rezultatelor cu solutiile T.Ea)MODEL PLANE STRAINb)MODEL PLANE STRESSc)MODEL SHELLd)MODEL SOLID

3)Studiu privind convergenta rezultatelor in functie de numarul de elemente finite raportat la x,max cu comparare x,maxT.E

OBSERVATIE:

Daca se divide structura in elemente finite de dimensiuni din ce in ce mai mici se poate observa ca x,max se apropie de x,T.E

Sheet2

Sheet3