Obsah
Hexahedra, BEAM56G2
Problem
Mesh
| element | type | nodes |
|---|---|---|
| 1 | 56 | 1 2 3 4 5 6 7 8 21 22 23 24 25 26 27 28 29 30 31 32 |
| 2 | 56 | 5 6 7 8 9 10 11 12 29 30 31 32 33 34 35 36 37 38 39 40 |
| 3 | 56 | 9 10 11 12 13 14 15 16 37 38 39 40 41 42 43 44 45 46 47 48 |
| 4 | 56 | 13 45 15 16 17 18 19 20 45 46 47 48 49 50 51 52 53 54 55 56 |
Boundary conditions
$u=v=w=0$ at node 24
$u=w=0$ at node 22
$v=w=0$ at node 56
$w=0$ at node 54
Computation
For the loading given we replace the end force with the equivalent surface tractions in the usual fashion, i.e., $$q_x=\frac{F_x}{0.01\times0.02}=\left\{\begin{align}-16.40 \\ -16.45 \\ -17.45 \\ -17.50\end{align}\right.\text{ MPa}.$$
The computation is executed with the following commands:
- beam56g2.bat
rmd3 beam56g2.i1 rpd3 beam56g2.i2 srh3 beam56g2.i3 fefs beam56g2.i4 hpp3 beam56g2.iP hpls beam56g2.iL str3 beam56g2.i5
Input
- beam56g2.i1
; NELEM NNOD ITED IP 4 56 56 ; CRIT SCALE RP 1.01 1 XY N 1:20 X 4*0 4*0.25 4*0.5 4*0.75 4*1 Y 5*(0 0.02 0.02 0) Z 5*(0 0 0.01 0.01) EL E 1:4 N =A 1:8 =A =B 21:32 =B =4A =8B =8A =16B =12A =24B EN EN
- beam56g2.i2
; KREST IP 1 ; E α ν ρ MP 1 T 1 V 2e11 0 0.3 0 SV 1 T 9 V -1.640e7 0 0 ; undercritical force SV 2 T 9 V -1.645e7 0 0 ; critical force SV 3 T 9 V -1.745e7 0 0 ; critical force for ITE=56 SV 4 T 9 V -1.750e7 0 0 ; postcritical force NV 1 T 6 V 0 0 0.5 ; perturbation 1 N AS 1 /M 1 /B 0 N 24 /B 0 C 1 3 N 22 ; left end /B 0 C 2 3 N 56 /B 0 C 3 N 54 ; right end AS 2 /S 1 E 4 S6 /N 1 N 38 40 AS 3 /S 2 E 4 S6 /N 1 N 38 40 AS 4 /S 3 E 4 S6 /N 1 N 38 40 AS 5 /S 4 E 4 S6 /N 1 N 38 40 EN EN
- beam56g2.i3
; KREST IP 1 EN EN
- beam56g2.i4
; KREST IP 1 EN EN
- beam56g2.iP
; KREST NLC NCYC KMOD KCRP KLARG ... IP 1 4 0 0 0 1 4*0 ; load case sequence 2 3 4 5 EN EN
- beam56g2.iL
; KMET KOUT NSUBI NITER NINT KTPR IP 0 1 0 100 0 0 ; UTOL RTOL XTOL PENAL RP 0 0 0 0 EN EN
- beam56g2.i5
; KLC 0 KOUT ILC ... KPROB KGRAF IP 1 0 0 0 6*0 2 2 EN EN
Output
- beam56g2.o5
; KLC 0 KOUT ILC ... KPROB KGRAF IP 1 0 0 0 6*0 2 2 EN EN 1TH LOAD CASE DISPLACEMENTS NODE U V W ALPHA BETA GAMMA [m] [m] [m] [rad] [rad] [rad] 1 0.1598971E-04 -0.5773814E-07 -0.1058244E-06 2 0.1598971E-04 0.5722053E-06 -0.1058236E-06 3 -0.1602676E-04 0.4547416E-06 0.8614451E-07 4 -0.1602676E-04 0.5972560E-07 0.8614532E-07 5 -0.1042854E-04 -0.8649459E-07 0.6793311E-03 6 -0.1042840E-04 0.5991823E-06 0.6793311E-03 7 -0.3269092E-04 0.4062700E-06 0.6795513E-03 8 -0.3269106E-04 0.1064184E-06 0.6795513E-03 9 -0.4224436E-04 -0.1236951E-06 0.9581265E-03 10 -0.4224410E-04 0.6313217E-06 0.9581265E-03 11 -0.4224497E-04 0.3670032E-06 0.9583706E-03 12 -0.4224523E-04 0.1406240E-06 0.9583706E-03 13 -0.7409379E-04 -0.9155781E-07 0.6793704E-03 14 -0.7409345E-04 0.5916154E-06 0.6793704E-03 15 -0.5183236E-04 0.3989055E-06 0.6795911E-03 16 -0.5183270E-04 0.1011517E-06 0.6795911E-03 17 -0.1004058E-03 -0.5942634E-07 -0.1068613E-06 18 -0.1004054E-03 0.5505422E-06 -0.1068611E-06 19 -0.6838429E-04 0.4318301E-06 0.8735668E-07 20 -0.6838467E-04 0.5928451E-07 0.8735694E-07 21 0.1584070E-04 0.2572340E-06 -0.1421085E-06 22 0.0000000E+00 0.5144670E-06 0.0000000E+00 23 -0.1617403E-04 0.2572340E-06 0.4557930E-07 24 0.0000000E+00 0.0000000E+00 0.0000000E+00 25 0.2714981E-05 -0.4218146E-07 0.3700878E-03 26 0.2715052E-05 0.5562028E-06 0.3700878E-03 27 -0.2447603E-04 0.4416253E-06 0.3703007E-03 28 -0.2447610E-04 0.7239650E-07 0.3703007E-03 29 -0.1038807E-04 0.2563443E-06 0.6792351E-03 30 -0.2156468E-04 0.5029211E-06 0.6794653E-03 31 -0.3265162E-04 0.2563446E-06 0.6794544E-03 32 -0.2156483E-04 0.9766805E-08 0.6794653E-03 33 -0.2640213E-04 -0.1263759E-06 0.8883020E-03 34 -0.2640193E-04 0.6369086E-06 0.8883020E-03 35 -0.3756006E-04 0.3677181E-06 0.8885422E-03 36 -0.3756026E-04 0.1428154E-06 0.8885422E-03 37 -0.4225488E-04 0.2538136E-06 0.9579736E-03 38 -0.4224319E-04 0.4989836E-06 0.9582867E-03 39 -0.4225575E-04 0.2538139E-06 0.9582186E-03 40 -0.4224345E-04 0.8643151E-08 0.9582867E-03 41 -0.5810386E-04 -0.1289000E-06 0.8883227E-03 42 -0.5810356E-04 0.6329927E-06 0.8883227E-03 43 -0.4694702E-04 0.3638841E-06 0.8885630E-03 44 -0.4694732E-04 0.1402088E-06 0.8885630E-03 45 -0.7409133E-04 0.2500290E-06 0.6792742E-03 46 -0.6296324E-04 0.4953482E-06 0.6795049E-03 47 -0.5182921E-04 0.2500288E-06 0.6794946E-03 48 -0.6296358E-04 0.4709144E-08 0.6795049E-03 49 -0.8719169E-04 -0.5595232E-07 0.3701286E-03 50 -0.8719134E-04 0.5516314E-06 0.3701286E-03 51 -0.5999868E-04 0.4365508E-06 0.3703378E-03 52 -0.5999903E-04 0.5912752E-07 0.3703378E-03 53 -0.1004064E-03 0.2455580E-06 -0.1460520E-06 54 -0.8439464E-04 0.4911152E-06 0.0000000E+00 DISPLACEMENTS NODE U V W ALPHA BETA GAMMA [m] [m] [m] [rad] [rad] [rad] 55 -0.6838701E-04 0.2455574E-06 0.4847673E-07 56 -0.8439501E-04 0.0000000E+00 0.0000000E+00 DISPLACEMENTS NODE U V W ALPHA BETA GAMMA [m] [m] [m] [rad] [rad] [rad] 1 0.1598969E-04 -0.5773479E-07 -0.1061962E-06 2 0.1598969E-04 0.5737725E-06 -0.1061954E-06 3 -0.1602685E-04 0.4563094E-06 0.8651665E-07 4 -0.1602685E-04 0.5972831E-07 0.8651746E-07 5 -0.1049135E-04 -0.8646612E-07 0.6793332E-03 6 -0.1049120E-04 0.6007179E-06 0.6793332E-03 7 -0.3275385E-04 0.4078053E-06 0.6795541E-03 8 -0.3275399E-04 0.1064473E-06 0.6795541E-03 9 -0.4236965E-04 -0.1236737E-06 0.9581301E-03 10 -0.4236939E-04 0.6328474E-06 0.9581301E-03 11 -0.4237025E-04 0.3685274E-06 0.9583750E-03 12 -0.4237052E-04 0.1406468E-06 0.9583750E-03 13 -0.7428167E-04 -0.9154570E-07 0.6793724E-03 14 -0.7428133E-04 0.5931277E-06 0.6793724E-03 15 -0.5202011E-04 0.4004174E-06 0.6795939E-03 16 -0.5202045E-04 0.1011642E-06 0.6795939E-03 17 -0.1006561E-03 -0.5942622E-07 -0.1072366E-06 18 -0.1006558E-03 0.5520414E-06 -0.1072364E-06 19 -0.6863455E-04 0.4333300E-06 0.8773228E-07 20 -0.6863492E-04 0.5928397E-07 0.8773254E-07 21 0.1584023E-04 0.2580193E-06 -0.1424732E-06 22 0.0000000E+00 0.5160375E-06 0.0000000E+00 23 -0.1617457E-04 0.2580193E-06 0.4594554E-07 24 0.0000000E+00 0.0000000E+00 0.0000000E+00 25 0.2683548E-05 -0.4213357E-07 0.3700885E-03 26 0.2683619E-05 0.5577238E-06 0.3700885E-03 27 -0.2450756E-04 0.4431470E-06 0.3703021E-03 28 -0.2450763E-04 0.7244365E-07 0.3703021E-03 29 -0.1045076E-04 0.2571263E-06 0.6792371E-03 30 -0.2162757E-04 0.5044571E-06 0.6794677E-03 31 -0.3271443E-04 0.2571267E-06 0.6794572E-03 32 -0.2162771E-04 0.9794872E-08 0.6794677E-03 33 -0.2649618E-04 -0.1263498E-06 0.8883052E-03 34 -0.2649597E-04 0.6384391E-06 0.8883052E-03 35 -0.3765417E-04 0.3692470E-06 0.8885462E-03 36 -0.3765437E-04 0.1428430E-06 0.8885462E-03 37 -0.4238020E-04 0.2545871E-06 0.9579772E-03 38 -0.4236847E-04 0.5005080E-06 0.9582907E-03 39 -0.4238107E-04 0.2545874E-06 0.9582229E-03 40 -0.4236874E-04 0.8665836E-08 0.9582907E-03 41 -0.5826045E-04 -0.1288821E-06 0.8883259E-03 42 -0.5826014E-04 0.6345110E-06 0.8883259E-03 43 -0.4710354E-04 0.3654008E-06 0.8885669E-03 44 -0.4710384E-04 0.1402282E-06 0.8885669E-03 45 -0.7427920E-04 0.2507911E-06 0.6792763E-03 46 -0.6315105E-04 0.4968605E-06 0.6795073E-03 47 -0.5201695E-04 0.2507910E-06 0.6794974E-03 48 -0.6315140E-04 0.4721181E-08 0.6795073E-03 49 -0.8741080E-04 -0.5594617E-07 0.3701293E-03 50 -0.8741044E-04 0.5531373E-06 0.3701293E-03 51 -0.6021768E-04 0.4380574E-06 0.3703392E-03 52 -0.6021804E-04 0.5913293E-07 0.3703392E-03 53 -0.1006568E-03 0.2463076E-06 -0.1464271E-06 54 -0.8464493E-04 0.4926146E-06 0.0000000E+00 DISPLACEMENTS NODE U V W ALPHA BETA GAMMA [m] [m] [m] [rad] [rad] [rad] 55 -0.6863727E-04 0.2463071E-06 0.4885343E-07 56 -0.8464530E-04 0.0000000E+00 0.0000000E+00 DISPLACEMENTS NODE U V W ALPHA BETA GAMMA [m] [m] [m] [rad] [rad] [rad] 1 0.1388432E-03 -0.5141790E-06 0.1725226E-05 2 0.1388432E-03 0.1009646E-05 0.1725227E-05 3 -0.1388770E-03 -0.2079879E-07 -0.1900566E-05 4 -0.1388770E-03 0.5162661E-06 -0.1900565E-05 5 0.4253297E-05 -0.7985837E-06 0.5881713E-02 6 0.4253448E-05 0.1292158E-05 0.5881713E-02 7 -0.1878297E-03 -0.3819949E-06 0.5880074E-02 8 -0.1878298E-03 0.8755764E-06 0.5880074E-02 9 -0.1290965E-03 -0.1075110E-05 0.8286251E-02 10 -0.1290962E-03 0.1563298E-05 0.8286251E-02 11 -0.1291043E-03 -0.7171132E-06 0.8286429E-02 12 -0.1291046E-03 0.1205308E-05 0.8286429E-02 13 -0.2624800E-03 -0.8031428E-06 0.5882082E-02 14 -0.2624796E-03 0.1283266E-05 0.5882082E-02 15 -0.7040988E-04 -0.3890299E-06 0.5880444E-02 16 -0.7041024E-04 0.8691506E-06 0.5880444E-02 17 -0.3969917E-03 -0.5210689E-06 0.1725439E-05 18 -0.3969913E-03 0.9916597E-06 0.1725440E-05 19 -0.1192274E-03 -0.5031087E-07 -0.1899172E-05 20 -0.1192278E-03 0.5208907E-06 -0.1899171E-05 21 0.1386895E-03 0.2477341E-06 0.1384878E-05 22 0.0000000E+00 0.4954671E-06 0.0000000E+00 23 -0.1390158E-03 0.2477341E-06 -0.2245047E-05 24 0.0000000E+00 0.0000000E+00 0.0000000E+00 25 0.6539420E-04 -0.5261521E-06 0.3209242E-02 26 0.6539428E-04 0.1021144E-05 0.3209242E-02 27 -0.1699611E-03 0.1436984E-07 0.3206751E-02 28 -0.1699612E-03 0.4806265E-06 0.3206751E-02 29 0.4317137E-05 0.2467875E-06 0.5880877E-02 30 -0.9179713E-04 0.4552293E-06 0.5881102E-02 31 -0.1877747E-03 0.2467912E-06 0.5879237E-02 32 -0.9179728E-04 0.3834827E-07 0.5881102E-02 33 -0.6816276E-04 -0.1219752E-05 0.7684004E-02 34 -0.6816254E-04 0.1711034E-05 0.7684004E-02 35 -0.1644313E-03 -0.6112358E-06 0.7683844E-02 36 -0.1644315E-03 0.1102526E-05 0.7683844E-02 37 -0.1291077E-03 0.2440944E-06 0.8284938E-02 38 -0.1290989E-03 0.4228035E-06 0.8286668E-02 39 -0.1291158E-03 0.2440975E-06 0.8285117E-02 40 -0.1290991E-03 0.6538753E-07 0.8286668E-02 41 -0.1900484E-03 -0.1222108E-05 0.7684198E-02 42 -0.1900481E-03 0.1706532E-05 0.7684198E-02 43 -0.9379414E-04 -0.6149841E-06 0.7684037E-02 44 -0.9379446E-04 0.1099410E-05 0.7684037E-02 45 -0.2624981E-03 0.2400617E-06 0.5881247E-02 46 -0.1664414E-03 0.4471519E-06 0.5881472E-02 47 -0.7041961E-04 0.2400605E-06 0.5879608E-02 48 -0.1664418E-03 0.3296992E-07 0.5881472E-02 49 -0.3235851E-03 -0.5428779E-06 0.3209608E-02 50 -0.3235847E-03 0.1018333E-05 0.3209608E-02 51 -0.8821466E-04 0.6910032E-08 0.3207113E-02 52 -0.8821504E-04 0.4685388E-06 0.3207113E-02 53 -0.3969976E-03 0.2352954E-06 0.1377018E-05 54 -0.2581064E-03 0.4705853E-06 0.0000000E+00 DISPLACEMENTS NODE U V W ALPHA BETA GAMMA [m] [m] [m] [rad] [rad] [rad] 55 -0.1192482E-03 0.2352899E-06 -0.2246845E-05 56 -0.2581068E-03 0.0000000E+00 0.0000000E+00 DISPLACEMENTS NODE U V W ALPHA BETA GAMMA [m] [m] [m] [rad] [rad] [rad] 1 0.1577166E-03 -0.5850060E-06 0.2276667E-05 2 0.1577166E-03 0.1066660E-05 0.2276668E-05 3 -0.1577489E-03 -0.1054360E-06 -0.2476455E-05 4 -0.1577489E-03 0.5870908E-06 -0.2476454E-05 5 -0.3060678E-05 -0.9042824E-06 0.6679575E-02 6 -0.3060536E-05 0.1383984E-05 0.6679574E-02 7 -0.2211122E-03 -0.5177113E-06 0.6677387E-02 8 -0.2211123E-03 0.9976591E-06 0.6677387E-02 9 -0.1539379E-03 -0.1212935E-05 0.9409098E-02 10 -0.1539376E-03 0.1687330E-05 0.9409097E-02 11 -0.1539485E-03 -0.9013870E-06 0.9409251E-02 12 -0.1539488E-03 0.1376053E-05 0.9409251E-02 13 -0.3048491E-03 -0.9086885E-06 0.6680040E-02 14 -0.3048488E-03 0.1375012E-05 0.6680039E-02 15 -0.8681251E-04 -0.5246142E-06 0.6677853E-02 16 -0.8681288E-04 0.9911694E-06 0.6677853E-02 17 -0.4655582E-03 -0.5927188E-06 0.2277244E-05 18 -0.4655578E-03 0.1049410E-05 0.2277244E-05 19 -0.1500388E-03 -0.1358525E-06 -0.2475212E-05 20 -0.1500392E-03 0.5925317E-06 -0.2475212E-05 21 0.1575649E-03 0.2408275E-06 0.1888524E-05 22 0.0000000E+00 0.4816542E-06 0.0000000E+00 23 -0.1578838E-03 0.2408278E-06 -0.2868620E-05 24 0.0000000E+00 0.0000000E+00 0.0000000E+00 25 0.6934588E-04 -0.6069432E-06 0.3645227E-02 26 0.6934595E-04 0.1088061E-05 0.3645226E-02 27 -0.1979297E-03 -0.5724882E-07 0.3641937E-02 28 -0.1979297E-03 0.5385233E-06 0.3641938E-02 29 -0.2991163E-05 0.2398511E-06 0.6678624E-02 30 -0.1120965E-03 0.4332672E-06 0.6678718E-02 31 -0.2210527E-03 0.2399744E-06 0.6676436E-02 32 -0.1120966E-03 0.4655718E-07 0.6678718E-02 33 -0.8591404E-04 -0.1396511E-05 0.8725424E-02 34 -0.8591383E-04 0.1873960E-05 0.8725424E-02 35 -0.1952000E-03 -0.7621067E-06 0.8725142E-02 36 -0.1952002E-03 0.1239828E-05 0.8725142E-02 37 -0.1539491E-03 0.2371979E-06 0.9407607E-02 38 -0.1539416E-03 0.3926529E-06 0.9409547E-02 39 -0.1539600E-03 0.2373334E-06 0.9407762E-02 40 -0.1539419E-03 0.8187739E-07 0.9409547E-02 41 -0.2219803E-03 -0.1398808E-05 0.8725677E-02 42 -0.2219800E-03 0.1869451E-05 0.8725677E-02 43 -0.1127125E-03 -0.7657972E-06 0.8725395E-02 44 -0.1127128E-03 0.1236704E-05 0.8725396E-02 45 -0.3048728E-03 0.2331618E-06 0.6679090E-02 46 -0.1958262E-03 0.4252154E-06 0.6679184E-02 47 -0.8682662E-04 0.2332778E-06 0.6676903E-02 48 -0.1958266E-03 0.4122366E-07 0.6679184E-02 49 -0.3772230E-03 -0.6240152E-06 0.3645678E-02 50 -0.3772226E-03 0.1085631E-05 0.3645678E-02 51 -0.1099285E-03 -0.6502255E-07 0.3642384E-02 52 -0.1099289E-03 0.5267795E-06 0.3642384E-02 53 -0.4655665E-03 0.2283456E-06 0.1880218E-05 54 -0.3077945E-03 0.4566851E-06 0.0000000E+00 DISPLACEMENTS NODE U V W ALPHA BETA GAMMA [m] [m] [m] [rad] [rad] [rad] 55 -0.1500640E-03 0.2283397E-06 -0.2871365E-05 56 -0.3077949E-03 0.0000000E+00 0.0000000E+00 * END OF STR3 * TOTAL CPU: 00:00:00