!#!Info Beispiel: Sperrholzplatte !#!Info Schlagwort: Holz; Layer; Geschichtet !#!Info Program: ASE !#!KAPITEL Material and System generation +PROG AQUA urs:1 KOPF Sperrholzplatte UNIT 5 $ Einheiten: Querschnitte in mm, Geometrie+Lasten in m ECHO MAT VOLL NORM 'DIN' 'en199X-200X' HOLZ NR OAL EP E90 G G90 QH GAM 11 0 12500 420 780 80 0.05 4.8 FLAY NR 101 T 30[mm] 11 0 $ Material 11 mit Faserrichtung 0 Grad T 30[mm] 11 90 $ Material 11 mit Faserrichtung 90 Grad T 30[mm] 11 0 T 30[mm] 11 90 T 30[mm] 11 0 $ Beispiel mit Betondeckplatte siehe holz_beton_layer.dat ENDE +prog sofimsha urs:2 KOPF Sperrholzplatte SEIT UNIE 0 SYST RAUM GDIV 10000 #define l=3.00 $ m Länge #define h=3.00 $ m Breite KNOT NR X Y 1 0 0 2 0 $(h)[m] 3 $(l)[m] $(h)[m] 4 $(l)[m] 0 QUAD - 1 2 3 4 MNR 101 T 150[mm] M 12 N 20 RAND 1 BEZ R1 ; RAND 1 4 FIT TYP cz CA 1E5 RAND 2 BEZ R2 ; RAND 2 3 FIT TYP cz CA 1E5 RAND 3 BEZ R3 ; RAND 1 2 FIT TYP cz CA 1E5 RAND 4 BEZ R4 ; RAND 4 3 FIT TYP cz CA 1E5 RAND 4 3 FIT TYP cx,cy CA 0.1 ENDE !#!KAPITEL Analysis +prog ase urs:3 KOPF On AQUA input: TIMB NO OAL EP E90 G G90 QH GAM 11 0 12500 420 780 80 0.05 4.1 remarks: EP E in fiber direction E90 transverse (soft) G shear from fiber direction to transverse direction (membrane shear nxy and torsion mxy) FGXY*G membrane shear stiffness for nxy (has also an effect on torsion mxy) FGXY=control value in ASE FGXZ*G slab shear from fiber direction to transverse z-direction (plate shear) FGXZ=control value in ASE G90 slab shear from transverse direction to transverse direction (soft rolling modulus) (Rollschubmodul) So in case the fiber goes in local x we get: G layer torsion mxy but also effected by FGXY because mxy also results from a nxy in the top and a nxy in the bottom layer FGXY*G membrane shear nxy by default factor FGXY is 1.0 FGXZ*G slab shear xz by default factor FGXZ is 1.0 G90 slab shear yz A timber beam uses Ep and G The quad membrane and bending stiffness use EP,E90,G,QH (first direction is the fiber direction) The transverse shear effect uses mue=QH (=poisson ration fiber-direction to transverse-direction) The quad membrane shear and the torsional bending stiffness use G Attention: using TIMB/HOLZ in AQUA, the QH poisson ratio is used ! QH90 from AQUA-TIMB/HOLZ is not used! remark: so QH and G do not satisfy the well known soil mechanics formula: EP G = -------- 2(1+mue) The slab shear stiffness uses G for a shear fiber-transverse (hard G modulus) and G90 for a shear transverse-transverse (soft rolling modulus) (Rollschubmodul) G and G90 can be increased or decreased due to glue effects Scaling input values: with E, E90 and QH(mue) the main bending and normal components mxx,myy,nxx,nyy are well represented. The other 4 components mxy,nxy,vx+vy depend more on material nonlinear behavior and may be scaled for this: We recommend to first use 'G' to scale the components nxy+mxy. Then you can use 'G90' t scale components vx+vy. For special use you can use an extra factor for membrane nxy (FGXY) and for the slab shear in fiber direction. (FGXZ) G is usually taken for the quad membrane and bending stiffness and for the slab shear stiffness! If you input in ASE CTRL FGXZ 0.85 the slab shear in fiber direction is set to 0.85*G. But the effect is small if G90 is small as weak layers dominate for shear! More often you can reduce the membrane nxy stiffness (FGXY) on nailed timber. With servicepack 2020-3 the analysis was extended for isotropic excentric layers (excentricity in lokal x differs from excentricity in lokal y). See print out of these excentricity parts in the 8*8 material matrix (D16:D18 ,D26:D28 ,D36:D38). ECHO MAT VOLL STEU FGXY 0.20 $ extra factor for membrane nxy stiffness (nailed timber) STEU FGXZ 0.85 $ extra factor for the slab shear in fiber direction (from fiber do z). $ but effect is small if G90 is small as weak layers dominate for shear! $ Please notice comments in legend of output table MLAY stiffness STEU ILAY 20000 $ Stores inner layer stresses in LC +20000... (surface of an inner layer) LF 1 FAKG 8.0 BEZ 'G_1*8 - G=780 G90=80' ENDE +PROG RESULTS urs:7 KOPF DIAG X "quad__la.sigx" Y "quad__la.__thick" GDEF "quad__la.nr" FILT NAME "quad__la.nr,quad__la.mnr" VAL1 127 VAL2 11 $ 127= Element no. 11= Material no. LF NR 1 XI ALLE QUAD TYP SXLA STYP ELEM DARS DIAG ENDE $ Open Animator, loadcase 1 and double klick a quad element $ Dateiordner aufräumen: +sys del $(project).$d?