Modeling A ============== Characteristics of modeling and meshing -------------------------------------------------- .. image:: images/10000201000002C100000269B2B922DFB5CA4F0C.png :width: 4.5965in :height: 4.022in .. _RefImage_10000201000002C100000269B2B922DFB5CA4F0C.png: The mesh of the model calculated with *Code_Aster* consists of 3357 nodes and 3387 meshes including 135 Timoshenko right beam elements (including 12 SEG2 per column, or 108 for the columns) and 3072 DKT plate elements (1024 per floor). In order to ensure the continuity of the degrees of freedom DRZ of natural rotation of the beams with the rotation around the normal of the plates (not automatically ensured by *Code_Aster*), beam elements are added locally at the edge of the plates DKT, at the level of the 27 column-floor connections (group of elements' JONCTIONS 'in the command file), to ensure the transmission of rotations DRZ linked to the plane movement of the plate rotating in plane :math:`(x,y)`. The mesh of the model calculated with CASTEM 2000 consists of 3765 nodes and 7368 elements including 108 elements (right Timoshenko beam) and 6960 elements of shell DKT. The model mesh calculated with SAMCEF consists of 3360 nodes and 3180 elements including 108 Mindlin straight beam elements and 3072 Mindlin shell elements. Results of modeling A ------------------------------ notes ~~~~~~~~ For a given :math:`i` node, the generalized effort for element :math:`i-1` and for element :math:`i` is compared in the "low" element and "high" element arrays respectively. The efforts are given in the local coordinate system of the beam elements (main inertia coordinate system). Calculating the modal base ~~~~~~~~~~~~~~~~~~~~~~~~~~ Natural frequencies in :math:`\mathrm{Hz}` .. csv-table:: "**Mode**", "**Code_Aster**", "**CASTEM 2000**", "**Difference in %**", "**SAMCEF**", "**Difference in %**", "**Difference in %**" "1", "1.512", "1.512", "1.512", "0.036", "1.495", "1.11" "2", "2.052", "2.050", "2.050", "0.125", "2.014", "1.93" "3", "2.365", "2.343", "2.343", "0.916", "2.291", "3.24" "4", "4.848", "4.859", "4.859", "0.237", "4.823", "0.522" "5", "7.488", "7.521", "0.421", "0.448", "7.415", "0.99" "6", "8.388", "8.426", "8.426", "0.456", "8.355", "0.392" "7", "8.547", "8.543", "8.543", "0.037", "8.438", "1.30" "8", "15.185", "15.405", "15.405", "1.428", "15.186", "0.004" +-----------------------------------------------------------------------------------------------------------------------------+------------------------------------------------------------------------------------------------------------------------+-----------------------------------------------------------------------------------------------------------------------------+ | | | | + .. image:: images/100000000000025800000258A379CF693A6F8011.jpg + .. image:: images/100000000000025800000258158DB3D8EC25370D.jpg + .. image:: images/1000000000000258000002583F583A9E3ADE3EA7.jpg + | :width: 2.1189in | :width: 2in | :width: 2.0626in | + :height: 2.3689in + :height: 2.3626in + :height: 2.3626in + | | | | + + + + | | | | +-----------------------------------------------------------------------------------------------------------------------------+------------------------------------------------------------------------------------------------------------------------+-----------------------------------------------------------------------------------------------------------------------------+ |Visualization: Mode No. 1; |Mode #3; |Fashion No. 7. | +-----------------------------------------------------------------------------------------------------------------------------+------------------------------------------------------------------------------------------------------------------------+-----------------------------------------------------------------------------------------------------------------------------+ Effective modal masses in :math:`\mathrm{kg}` +-------------------------+-+--------------+---------------+-------------------+----------+-------------------+ |**Fashion and direction** |**Aster_code**|**CASTEM 2000**|**Difference in %**|**SAMCEF**|**Difference in %**| +-------------------------+-+--------------+---------------+-------------------+----------+-------------------+ |1 |X|2,129E+01 |2.300E+01 |—7,451 |2.070E+01 |2,846 | +-------------------------+-+--------------+---------------+-------------------+----------+-------------------+ | |Y|1,115E+05 |1.113E+05 |0.127 |1.102E+05 |1,186 | +-------------------------+-+--------------+---------------+-------------------+----------+-------------------+ | |Z|5,203E—02 |6.698E—02 |—22,319 |5.816E—02 |—10,531 | +-------------------------+-+--------------+---------------+-------------------+----------+-------------------+ |2 |X|9,559E+04 |9.365E+04 |2,068 |9.294E+04 |2,847 | +-------------------------+-+--------------+---------------+-------------------+----------+-------------------+ | |Y|1,532E+02 |1.817E+02 |—15,689 |1.683E+02 |—8,967 | +-------------------------+-+--------------+---------------+-------------------+----------+-------------------+ | |Z|1.002E—02 |1.440E—02 |—30,405 |1.500E—02 |—33,186 | +-------------------------+-+--------------+---------------+-------------------+----------+-------------------+ |3 |X|1.063E+04 |1.238E+04 |—14,202 |1.201E+04 |—11,509 | +-------------------------+-+--------------+---------------+-------------------+----------+-------------------+ | |Y|4,954E+02 |5.181E+02 |—4,399 |5.010E+02 |—1,119 | +-------------------------+-+--------------+---------------+-------------------+----------+-------------------+ | |Z|6.074E—03 |9.450E—03 |—35,736 |8.390E—03 |—27,609 | +-------------------------+-+--------------+---------------+-------------------+----------+-------------------+ |4 |X|9,222E—01 |9.3722E—01 |—1,606 |8.338E—01 |10,599 | +-------------------------+-+--------------+---------------+-------------------+----------+-------------------+ | |Y|1.434E+04 |1.438E+04 |—0.296 |1.438E+04 |—0.247 | +-------------------------+-+--------------+---------------+-------------------+----------+-------------------+ | |Z|1.553E—01 |2.066E—01 |—24,850 |1.791E—01 |—13,286 | +-------------------------+-+--------------+---------------+-------------------+----------+-------------------+ |5 |X|1,606E+04 |1.582E+04 |1,514 |1.594E+04 |0.749 | +-------------------------+-+--------------+---------------+-------------------+----------+-------------------+ | |Y|1,537E+01 |1.751E+01 |—12,252 |1.491E+01 |3,096 | +-------------------------+-+--------------+---------------+-------------------+----------+-------------------+ | |Z|3.026E—02 |4.386E—02 |—31,012 |4.668E—02 |—35,178 | +-------------------------+-+--------------+---------------+-------------------+----------+-------------------+ |6 |X|1,829E+02 |3.9466E+02 |—53,662 |1.901E+03 |—90,380 | +-------------------------+-+--------------+---------------+-------------------+----------+-------------------+ | |Y|3,771E+03 |3.622E+03 |4,112 |1.300E+03 |190,089 | +-------------------------+-+--------------+---------------+-------------------+----------+-------------------+ | |Z|1,282E—01 |1.809E—01 |—29,145 |1.336E—01 |—4,028 | +-------------------------+-+--------------+---------------+-------------------+----------+-------------------+ |7 |X|2.064E+03 |2.1461E+03 |—3,842 |5.331E+02 |287,105 | +-------------------------+-+--------------+---------------+-------------------+----------+-------------------+ | |Y|9,264E+01 |2.7942E+02 |—66,846 |2.627E+03 |—96,474 | +-------------------------+-+--------------+---------------+-------------------+----------+-------------------+ | |Z|1.449E—02 |1.222E—02 |18,522 |2.709E—02 |—46.519 | +-------------------------+-+--------------+---------------+-------------------+----------+-------------------+ |8 |X|4,932E+03 |4.948E+03 |—0.346 |4.974E+03 |—0.851 | +-------------------------+-+--------------+---------------+-------------------+----------+-------------------+ | |Y|1,130E+00 |1.121E+00 |0.752 |1.035E+00 |9,143 | +-------------------------+-+--------------+---------------+-------------------+----------+-------------------+ | |Z|5,731E+01 |1.5420E+02 |—62,836 |5.098E+01 |12,411 | +-------------------------+-+--------------+---------------+-------------------+----------+-------------------+ |Cumulation |X|1.2948E+05 |1.2936E+05 |0.092% |1.2832E+05|0.905% | +-------------------------+-+--------------+---------------+-------------------+----------+-------------------+ | |Y|1.3037E+05 |1.3030E+05 |0.053% |1.2919E+05|0.911% | +-------------------------+-+--------------+---------------+-------------------+----------+-------------------+ | |Z|5,7706E+01 |1,5473E+02 |-62.706% |5,1448E+01|12.16% | +-------------------------+-+--------------+---------------+-------------------+----------+-------------------+ **Note:** The error norm for modes calculated by Code_Aster's Sorensen method is always less than :math:`{10}^{-9}`. **Note:** The total mass of the building is :math:`132552\mathrm{kg}`; the strong orientation along y of the modes is due to the relative lower inertia along y of the columns. The cumulative effective modal mass in the :math:`x` direction of the earthquake obtained by Code_Aster represents :math:`\text{97.678 \%}` of the total mass. **Note:** The differences between models and software are quite strong in the :math:`z` direction, as it is not very popular in these modes. Spectral response - method CQC ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ **Displacements - column* :math:`B` *(in meters)* .. csv-table:: "**Altitude Z (m)**", "**Component**", "**Component**", "**Code_Aster**", "**CASTEM 2000**", "**Difference in %**", "**SAMCEF**", "****", "**Difference in %**" "PM1: 1.5", "X", "1.829E—03", "1.829E—03", "1.717E—03", "6.466", "1.641E—03", "11.439" "", "Y", "2.303E—04", "2.276E—04", "2.276E—04", "1.190", "1.730E—03", "—86.686" "", "Z", "1.882E—06", "1.763E—06", "1.763E—06", "6.728", "2.112E—05", "—91.087" "PM2: 3.0", "X", "5.411E—03", "5.411E—03", "5.108E—03", "5.255E—03", "2.968" "1st floor", "Y", "5.709E—04", "5.709E—04", "5.679E—04", "0.526", "3.304E—03", "—82.722" "", "Z", "3.764E—06", "3.526E—06", "3.526E—06", "6.729", "4.223E—05", "—91.087" "PM3: 4.5", "X", "9.762E—03", "9.762E—03", "9.243E—03", "5.608", "9.551E—03", "2.209" "", "Y", "9.277E—04", "9.246E—04", "9.246E—04", "0.331", "8.594E—03", "—89.205" "", "Z", "4.750E—06", "4.452E—06", "4.452E—06", "6.671", "5.540E—05", "—91.426" "PM4: 6.0", "X", "1.409E—02", "1.409E—02", "1.336E—02", "1.381E—02", "2.047" "2nd floor", "Y", "1.259E—03", "1.255E—03", "1.255E—03", "0.296", "1.229E—02", ", "—89.756" "", "Z", "5.736E—06", "5.379E—06", "5.379E—06", "6.633", "6.857E—05", "—91.634" "PM5: 7.5", "X", "1.780E—02", "1.689E—02", "1.689E—02", "1.747E—02", "1.890" "", "Y", "1.486E—03", "1.482E—03", "1.482E—03", "0.224", "1.539E—02", "—90.347" "", "Z", "6.014E—06", "5.642E—06", "5.642E—06", "6.598", "7.376E—05", "—91.846" "PM6: 9.0", "X", "2.085E—02", "1.980E—02", "5.319", "2.057E—02", "2.085E—02", "1.383" "3rd floor", "Y", "1.661E—03", "1.661E—03", "1.657E—03", "0.223", "1.789E—02", ", "—90.713" "", "Z", "6.293E—06", "5.905E—06", "5.905E—06", "6.567", "7.896E—05", "—92.029" *Reaction in* :math:`N` *and Moment in* :math:`\mathrm{N.m}` *when embedding the column* :math:`B` *(* group*node* 'PFE' *)* .. csv-table:: "**Reaction or moment**", "**Code_Aster**", "**CASTEM 2000**", "**Difference in %**", "**SAMCEF**", "**Code_Aster**", "**Difference in %**" "Fx", "3.445E+04", "3.325E+04", "3.325E+04", "3.362E+04", "2.460" "Fy", "1.644E+03", "1.629E+03", "1.629E+03", "1.629E+03", "—27.405" "Fz", "4.015E+03", "3.761E+03", "3.761E+03", "3.761E+03", "—19.694" "Mx", "2.986E+03", "2.975E+03", "2.975E+03", "2.975E+03", "—27.967" "My", "8.488E+04", "8.135E+04", "8.135E+04", "8.225E+04", "3.208" "Mz", "1.8460E—03", "1.772E—01", "—98.958", "2.165E+01", "-99.99" **Reaction in* :math:`N` *and Moment in* :math:`\mathrm{N.m}` *to embedding the central column* :math:`E` *(node group* *' PFE ')* .. csv-table:: "**Reaction/Moment**", "**Code_Aster**", "**CASTEM 2000**", "**Difference in %**", "**SAMCEF**", "**Code_Aster**", "**Difference in %**" "Fx", "5.799E+04", "5341E+04", "8.552", "5.056E+04", "14.686" "Fy", "2.080E+03", "2.071E+03", "2.071E+03", "2.849E+03", "—26.994" "Fz", "2.471E+02", "4.067E+02", "—39.247", "1.978E+03", "—87.504" "Mx", "3.419E+03", "3.417E+03", "3.417E+03", "3.417E+03", "—27.691" "My", "1.202E+05", "1.116E+05", "1.116E+05", "7.705", "1.074E+05", "11.913" "Mz", "1.842E—03", "1.770E—01", "—98.959", "2.591E+01", "-99.99" *Generalized efforts from the column* :math:`B` *(as a local benchmark)* "Low" element array (see note [:ref:`§ 4.1 <§ 4.1>`]) .. csv-table:: "**Altitude Z (m)**", "**Component**", "**Component**", "**Code_Aster**", "**CASTEM 2000**", "**Difference in %**", "**SAMCEF**", "****", "**Difference in %**" "PM1: 1.5", "N (N)", "4.015E+03", "4.015E+03", "3.7618E+03", "6.728", "5.000E+03", "—19.702" "PM1_BAS ", "Vy (N)", "1.640E+03", "1.627E+03", "1.627E+03", "2.260E+03", "—27.445" "", "Vz (N)", "3.441E+04", "3.441E+04", "3.323E+04", "3.320E+04", "3.634" "", "MT (N.m)", "1.846E—03", "1.846E—03", "1.756E—01", "—98.949", "2.160E+01", "—99.99" "", "Mfy (N.m)", "3.325E+04", "3.325E+04", "3.151E+04", "5.522", "3.320E+04", "0.154" "", "Mfz (N.m)", "5.215E+02", "5.215E+02", "5.333E+02", "—2.227", "7.650E+02", "—31.835" "PM2: 3.0", "N (N)", "4.015E+03", "4.015E+03", "3.761E+03", "6.727", "4.999E+03", "—19.689" "1st floor", "Vy (N)", "1.618E+03", "1.618E+03", "1.610E+03", "2.230E+03", "—27.450" "PM2_BAS ", "Vz (N)", "3.420E+04", "3.420E+04", "3.308E+04", "3.371", "3.286E+04", "4.073" "", "MT (N.m)", "1.846E—03", "1.846E—03", "1.645E—01", "—98.879", "2.160E+01", "—99.99" "", "Mfy (N.m)", "1.830E+04", "1.830E+04", "1.824E+04", "1.750E+04", "4.603" "", "Mfz (N.m)", "1.925E+03", "1.925E+03", "1.891E+03", "2.620E+03", "—26.542" "PM3: 4.5", "N (N)", "2.104E+03", "2.104E+03", "1.976E+03", "6.448", "2.636E+03", "—20.176" "PM3_BAS ", "Vy (N)", "1.381E+03", "1.381E+03", "1.368E+03", "0.952", "1.930E+04", "—28.439" "", "Vz (N)", "3.061E+04", "3.061E+04", "3.000E+04", "2.6010", "2.993E+04", "2.265" "", "MT (N.m)", "1.594E—03", "1.594E—03", "1.402E—01", "—98.863", "2.570E+01", "—99.99" "", "Mfy (N.m)", "1.434E+03", "1.390E+03", "1.390E+03", "3.161", "1.440E+03", "—0.385" "", "Mfz (N.m)", "1.295E+02", "1.342E+02", "—3.554", "1.890E+02", "—31.483" "PM4: 6.0", "N (N)", "2.104E+03", "2.104E+03", "1.976E+03", "6.450", "2.636E+03", "—20.187" "2nd floor", "Vy (N)", "1.324E+03", "1.324E+03", "1.315E+03", "0.618", "1.850E+03", "—28.458" "PM4_BAS ", "Vz (N)", "2.993E+04", "2.993E+04", "2.941E+04", "1.751", "2.931E+04", "2.119" "", "MT (N.m)", "1.594E—03", "1.594E—03", "1.049E—01", "—98.481", "2.570E+01", "—99.99" "", "Mfy (N.m)", "4.583E+04", "4.583E+04", "4.471E+04", "2.480", "4.430E+04", "3.445" "", "Mfz (N.m)", "2.157E+03", "2.157E+03", "2.126E+03", "2.990E+03", "—27.858" "PM5: 7.5", "N (N)", "5.956E+02", "5.956E+02", "5.629E+02", "5.817", "7.749E+02", "—23.133" "PM5_BAS ", "Vy (N)", "7.279E+02", "7.279E+02", "7.312E+02", "—0.453", "1.040E+03", "—30.006" "", "Vz (N)", "1.935E+04", "1.935E+04", "1.934E+04", "1.934E+04", "0.039" "", "MT (N.m)", "9.470E—04", "9.470E—04", "6.137E—02", "-98.457", "2.660E+01", "—99.99" "", "Mfy (N.m)", "1.234E+04", "1.234E+04", "1.184E+04", "1.210E+04", "2.006" "", "Mfz (N.m)", "2.511E+02", "2.511E+02", "2.578E+02", "—2.607", "3.800E+02", "—33.921" "Top" element array (see note [:ref:`§ 4.1 <§ 4.1>`]) .. csv-table:: "**Altitude Z (m)**", "**Component**", "**Component**", "**Code_Aster**", "**CASTEM 2000**", "**Difference in %**", "**SAMCEF**", "****", "**Difference in %**" "PM0: 0.0", "N (N)", "4.015E+03", "4.015E+03", "3.762E+03", "6.729", "-", "-" "PM0_HAUT ", "Vy (N)", "1.644E+03", "1.629E+03", "1.629E+03", "0.928", "-", "-" "", "Vz (N)", "3.444E+04", "3.325E+04", "3.593", "-", "-" "", "MT (N.m)", "1.846E—03", "1.846E—03", "1.770E—01", "—98.957", "-", "-" "", "Mfy (N.m)", "8.488E+04", "8.135E+04", "4.336", "-", "-" "", "Mfz (N.m)", "2.986E+02", "2.975E+02", "0.348", "-", "-" "PM1: 1.5", "N (N)", "4.015E+03", "4.015E+03", "3.762E+03", "6.728", "5.000E+03", "—19.702" "PM1_HAUT ", "Vy (N)", "1.640E+03", "1.640E+03", "1.621E+03", "2.250E+03", "—27.123" "", "Vz (N)", "3.440E+04", "3.440E+04", "3.318E+04", "3.683", "3.300E+04", "4.258" "", "MT (N.m)", "1.846E—03", "1.846E—03", "1.717E—01", "—98.925", "2.160E+01", "—99.99" "", "Mfy (N.m)", "3.325E+04", "3.325E+04", "3.150E+04", "5.529", "3.260E+04", "1.997" "", "Mfz (N.m)", "5.215E+02", "5.215E+02", "5.331E+02", "—2.183", "7.640E+02", "—31.746" "PM2: 3.0", "N (N)", "2.104E+03", "2.104E+03", "1.976E+03", "6.454", "2.640E+03", "—20.289" "1st floor", "Vy (N)", "1.419E+03", "1.419E+03", "1.386E+03", "2.319", "1.950E+03", "—27.233" "PM2_HAUT ", "Vz (N)", "3.103E+04", "3.103E+04", "3.020E+04", "2.733", "3.010E+04", "3.094" "", "MT (N.m)", "1.595E—03", "1.595E—03", "1.540E—01", "—98.965", "2.570E+01", "—99.99" "", "Mfy (N.m)", "4.591E+04", "4.591E+04", "4.485E+04", "4.500E+04", "2.022" "", "Mfz (N.m)", "1.976E+03", "1.976E+03", "1.935E+03", "2.730E+03", "—27.610" "PM3: 4.5", "N (N)", "2.104E+03", "2.104E+03", "1.976E+03", "6.453", "2.640E+03", "—20.297" "PM3_HAUT ", "Vy (N)", "1.381E+03", "1.381E+03", "1.344E+03", "2.739", "1.900E+03", "—-27.309" "", "Vz (N)", "3.061E+04", "2.974E+04", "2.917", "2.970E+04", "3.062" "", "MT (N.m)", "1.594E—03", "1.594E—03", "1.237E—01", "—98.712", "2.570E+01", "—99.99" "", "Mfy (N.m)", "1.434E+03", "1.434E+03", "1.391E+03", "3.109", "1.440E+03", "—0.385" "", "Mfz (N.m)", "1.295E+02", "1.345E+02", "—3.741", "1.900E+02", "—31.843" "PM4: 6.0", "N (N)", "5.960E+02", "5.630E+02", "5.847", "7.750E+02", "—23.103" "2nd floor", "Vy (N)", "7.978E+02", "7.978E+02", "7.660E+02", "4.147", "1.080E+03", "—26.130" "PM4_HAUT ", "Vz (N)", "2.023E+04", "2.023E+04", "1.976E+04", "2.358", "1.970E+04", "2.696" "", "MT (N.m)", "9.477E—04", "8.477E—04", "8.407E—02", "—98.873", "2.670E+01", "—99.99" "", "Mfy (N.m)", "1.751E+04", "1.751E+04", "1.762E+04", "—0.636", "1.790E+04", "—2.179" "", "Mfz (N.m)", "8.967E+02", "8.967E+02", "8.675E+02", "3.363", "1.280E+03", "—29.945" "PM5: 7.5", "N (N)", "5.956E+02", "5.627E+02", "5.842", "7.750E+02", "7.750E+02", "—23.143" "PM5_HAUT ", "Vy (N)", "7.279E+02", "6.933E+02", "4.987", "9.930E+02", "—26.693" "", "Vz (N)", "1.935E+04", "1.935E+04", "1.886E+04", "2.561", "1.890E+04", "2.360" "", "MT (N.m)", "9.470E—04", "9.470E—04", "3.736E—02", "—97.466", "2.660E+01", "—99.99" "", "Mfy (N.m)", "1.234E+04", "1.234E+04", "1.184E+04", "4.167", "1.210E+04", "2.006" "", "Mfz (N.m)", "2.511E+02", "2.579E+02", "—2.664", "3.810E+02", "—34.095" Spectral response - method SRSS ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ Travel — column :math:`B` (in :math:`m`) .. csv-table:: "**Altitude Z (m)**", "**Component**", "**Component**", "**Code_Aster**", "**CASTEM 2000**", "**Difference in %**", "**SAMCEF**", "****", "**Difference in %**" "PM1: 1.5", "X", "1.593E—03", "1.593E—03", "1.4749E—03", "1.40E—03", "13.779" "N982", "Y", "2.767E—04", "2.767E—04", "2.795E—04", "—1.050", "1.47E—03", "—81.179" "", "Z", "2.253E+06", "2.156E—06", "2.156E—06", "4.469", "1.95E—05", "—88.447" "PM2: 3.0", "X", "4.714E—03", "4.714E—03", "4.386E—03", "7.475", "4.46E—03", "5.707" "1st floor", "Y", "6.854E—04", "6.854E—04", "6.969E—04", "—1.653", "4.12E—03", "—83.364" "N1245", "Z", "4.506E—06", "4.506E—06", "4.312E—06", "4.469", "3.90E—05", "—88.447" "PM3: 4.5", "X", "8.508E—03", "8.508E—03", "7.939E—03", "8.13E—03", "4.655" "N1530", "Y", "1.113E—03", "1.113E—03", "1.133E—03", "—1.797", "7.32E—03", "—84.798" "", "Z", "5.684E—06", "5.443E—06", "5.443E—06", "4.412", "5.12E—05", "—88.898" "PM4: 6.0", "X", "1.229E—02", "1.229E—02", "1.148E—02", "7.043", "1.18E—02", "4.153" "2nd floor", "Y", "1.510E—03", "1.510E—03", "1.538E—03", "—1.842", "1.05E—02", "—85.621" "N1815", "Z", "6.862E—06", "6.862E—06", "6.574E—06", "4.374", "6.33E—05", "—89.159" "PM5: 7.5", "X", "1.552E—02", "1.552E—02", "1.451E—02", "1.49E—02", "4.187" "N2106", "Y", "1.780E—03", "1.815E—03", "1.815E—03", "—1.902", "1.31e—02", "—86.410" "", "Z", "7.195E—06", "6.896E—06", "6.896E—06", "6.80E—06", "—89.419" "PM6: 9.0", "X", "1.820E—02", "1.701E—02", "6.944", "1.75E—02", "3.981" "3rd floor", "Y", "1.990E—03", "2.028E—03", "2.028E—03", "—1.902", "1.52E—02", "—86.908" "N2355", "Z", "7.528E—06", "7.528E—06", "7.217E—06", "7.27E—06", "—89.646" Reaction in :math:`N` and Moment in :math:`\mathrm{N.m}` to the embedding of column :math:`B` (node :math:`\mathrm{N758}`). .. csv-table:: "**Reaction/Moment**", "**Code_Aster**", "**CASTEM 2000**", "**Difference in %**", "**SAMCEF**", "**Code_Aster**", "**Difference in %**" "Fx", "2.999E+04", "2.854E+04", "2.854E+04", "2.883E+04", "4.006" "Fy", "1.977E+03", "2.006E+03", "—1.434", "1.914E+03", "3.336" "Fz", "4.806E+03", "4.600E+03", "4.600E+03", "4.468", "4.254E+03", "12.973" "Mx", "3.587E+03", "3.657E+03", "—1.902", "3.510E+03", "2.203" "My", "7.393E+04", "6.985E+04", "6.985E+04", "6.985E+04", "6.985E+04", "5.448" "Mz", "2.240E—03", "1.772E—01", "—98.736", "1.989E+01", "-99.99" Reaction in :math:`N` and Moment in :math:`\mathrm{N.m}` to the embedding of the central column :math:`E` (node :math:`\mathrm{N885}`). .. csv-table:: "**Reaction/Moment**", "**Code_Aster**", "**CASTEM 2000**", "**Difference in %**", "**SAMCEF**", "**Code_Aster**", "**Difference in %**" "Fx", "5.591E+04", "5.094E+04", "5.094E+04", "5.094E+04", "16.558" "Fy", "2.499E+03", "2.545E+03", "2.545E+03", "—1.818", "2.413E+03", "3.571" "Fz", "2.472E+02", "4.068E+02", "—39.240", "1.972E+03", "—87.462" "Mx", "4.106E+03", "4.196E+03", "4.196E+03", "—2.161", "4.008E+03", "2.454" "My", "1.159E+05", "1.064E+05", "1.064E+05", "1.064E+05", "1.064E+05", "1.064E+05", "1.064E+05", "8.897" "Mz", "2.236E—03", "1.770E—01", "—98.737", "2.288E+01", "—99.99" Generalized efforts from column :math:`B` "Low" element array (see note [:ref:`§4.1 <§4.1>`]) .. csv-table:: "**Altitude Z (m)**", "**Component**", "**Component**", "**Code_Aster**", "**CASTEM 2000**", "**Difference in %**", "**SAMCEF**", "****", "**Difference in %**" "PM1: 1.5", "N (N)", "4.806E+03", "4.600E+03", "4.469", "4.250E+03", "4.250E+03", "13.082" "M3158, N982", "Vy (N)", "1.972E+03", "2.003E+03", "—1.580", "1.910E+03", "1.910E+03", "3.233" "", "Vz (N)", "2.995E+04", "2.995E+04", "2.853E+04", "2.830E+04", "5.832" "", "MT (N.m)", "2.240E—03", "2.240E—03", "1.756E—01", "—98.725", "1.990E+01", "—99.99" "", "Mfy (N.m)", "2.898E+04", "2.898E+04", "2.706E+04", "7.088", "2.780E+04", "4.261" "", "Mfz (N.m)", "6.254E+02", "6.536E+02", "—4.319", "6.500E+02", "—3.781" "PM2: 3.0", "N (N)", "4.806E+03", "4.600E+03", "4.467", "4.250E+03", "4.250E+03", "13.078" "1st floor", "Vy (N)", "1.944E+03", "1.944E+03", "1.980E+03", "1.890E+03", "2.867" "M3160, N1245", "Vz (N)", "2.977E+04", "2.840E+04", "4.825", "2.800E+04", "2.800E+04", "6.326" "", "MT (N.m)", "2.240E—03", "2.240E—03", "1.646E—01", "—98.639", "1.990E+01", "—99.99" "", "Mfy (N.m)", "1.590E+04", "1.590E+04", "1.566E+04", "1.510E+04", "5.284" "", "Mfz (N.m)", "2.317E+03", "2.317E+03", "2.334E+03", "—0.746", "2.200E+03", "5.327" "PM3: 4.5", "N (N)", "2.515E+03", "2.515E+03", "2.414E+03", "4.184", "2.240E+03", "12.268" "M3162", "Vy (N)", "1.664E+03", "1.664E+03", "1.694E+03", "—1.789", "1.620E+03", "2.703" "", "Vz (N)", "2.670E+04", "2.670E+04", "2.578E+04", "2.560E+04", "4.291" "", "MT (N.m)", "1.935E—03", "1.935E—03", "1.402E—01", "—98.621", "2.570E+01", "—99.99" "", "Mfy (N.m)", "1.246E+03", "1.246E+03", "1.152E+03", "1.120E+03", "11.269" "", "Mfz (N.m)", "1.564E+02", "1.656E+02", "—5.535", "1.600E+02", "—2.217" "PM4: 6.0", "N (N)", "2.514E+03", "2.514E+03", "2.413E+03", "4.183", "2.240E+03", "12.253" "2nd floor", "Vy (N)", "1.592E+03", "1.592E+03", "1.626E+03", "—2.151", "1.560E+03", "2.033" "M3164, N1815", "Vz (N)", "2.611E+04", "2.528E+04", "3.308", "2.500E+04", "2.500E+04", "4.461" "", "MT (N.m)", "1.934E—03", "1.934E—03", "1.049E—01", "—98.156", "2.570E+01", "—99.99" "", "Mfy (N.m)", "3.993E+04", "3.840E+04", "3.962", "3.780E+04", "5.635" "", "Mfz (N.m)", "2.598E+03", "2.630E+03", "—1.242", "2.520E+03", "3.085" "PM5: 7.5", "N (N)", "7.130E+02", "6.904E+02", "3.270", "6.590E+02", "6.590E+02", "8.197" "M3166, N2106", "Vy (N)", "8.779E+02", "9.099E+02", "—3.521", "8.730E+02", "8.730E+02", "0.564" "", "Vz (N)", "1.693E+04", "1.693E+04", "1.663E+04", "1.650E+04", "2.635" "", "MT (N.m)", "1.150E—03", "1.150E—03", "6.137E—02", "—98.128", "2.500E+01", "—99.99" "", "Mfy (N.m)", "1.075E+04", "1.075E+04", "1.017E+04", "5.675", "1.030E+04", "4.382" "", "Mfz (N.m)", "3.034E+02", "3.201E+02", "—5.243", "3.200E+02", "—5.199" "Top" element array (see note [:ref:`§ 4.1 <§ 4.1>`]) .. csv-table:: "**Altitude Z (m)**", "**Component**", "**Component**", "**Code_Aster**", "**CASTEM 2000**", "**Difference in %**", "**SAMCEF**", "****", "**Difference in %**" "PM0: 0.0", "N (N)", "4.806E+03", "4.600E+03", "4.468", "-", "-" "M3157, N758", "Vy (N)", "1.977E+03", "2.006E+03", "—1.429", "-", "-", "-" "", "Vz (N)", "2.998E+04", "2.998E+04", "2.854E+04", "-", "-" "", "MT (N.m)", "2.240E—03", "2.240E—03", "1.770E—01", "—98.735", "-", "-" "", "Mfy (N.m)", "7.393E+04", "6.986E+04", "5.830", "-", "-" "", "Mfz (N.m)", "3.587E+03", "3.657E+03", "—1.902", "-", "-" "PM1: 1.5", "N (N)", "4.806E+03", "4.600E+03", "4.469", "4.250E+03", "4.250E+03", "13.082" "M3159, N982", "Vy (N)", "1.972E+03", "1.995E+03", "—1.176", "1.900E+03", "1.900E+03", "3.776" "", "Vz (N)", "2.995E+04", "2.848E+04", "5.140", "2.810E+04", "2.810E+04", "6.580" "", "MT (N.m)", "2.240E—03", "2.240E—03", "1.717E—01", "—98.696", "1.990E+01", "—99.99" "", "Mfy (N.m)", "2.898E+04", "2.898E+04", "2.706E+04", "2.780E+04", "4.261" "", "Mfz (N.m)", "6.254E+02", "6.533E+02", "—4.276", "6.500E+02", "—3.781" "PM2: 3.0", "N (N)", "2.515E+03", "2.515E+03", "2.414E+03", "4.191", "2.240E+03", "12.280" "1st floor", "Vy (N)", "1.709E+03", "1.709E+03", "1.716E+03", "1.640E+03", "1.709E+03", "4.231" "M3161, N1245", "Vz (N)", "2.706E+04", "2.595E+04", "4.269", "2.570E+04", "2.570E+04", "5.304" "", "MT (N.m)", "1.935E—03", "1.935E—03", "1.540E—01", "—98.744", "2.570E+01", "—99.99" "", "Mfy (N.m)", "4.009E+04", "3.856E+04", "3.969", "3.850E+04", "4.131" "", "Mfz (N.m)", "2.380E+03", "2.380E+03", "2.397E+03", "2.300E+03", "3.481" "PM3: 4.5", "N (N)", "2.515E+03", "2.515E+03", "2.413E+03", "4.193", "2.240E+03", "12.268" "M3163, N1530", "Vy (N)", "1.664E+03", "1.664E+03", "—0.025", "1.600E+03", "1.600E+03", "3.987" "", "Vz (N)", "2.670E+04", "2.670E+04", "2.555E+04", "2.670E+04", "2.670E+04", "5.534" "", "MT (N.m)", "1.935E—03", "1.935E—03", "1.237E—01", "-98.437", "2.570E+01", "—99.99" "", "Mfy (N.m)", "1.246E+03", "1.246E+03", "1.153E+03", "1.120E+03", "11.269" "", "Mfz (N.m)", "1.564E+02", "1.659E+02", "—5.734", "1.610E+02", "—2.824" "PM4: 6.0", "N (N)", "7.134E+02", "6.906E+02", "3.299", "6.590E+02", "8.255" "2nd floor", "Vy (N)", "9.610E+02", "9.610E+02", "9.506E+02", "1.087", "9.100E+02", "5.607" "M3165, N1815", "Vz (N)", "1.769E+04", "1.700E+04", "4.099", "1.680E+04", "1.680E+04", "5.325" "", "MT (N.m)", "1.150E—03", "1.150E—03", "8.407E—02", "—98.632", "2.500E+01", "—99.99" "", "Mfy (N.m)", "1.537E+04", "1.537E+04", "1.516E+04", "1.540E+04", "—0.197" "", "Mfz (N.m)", "1.092E+03", "1.1021E+03", "—0.959", "1.060E+03", "2.974" "PM5: 7.5", "N (N)", "7.130E+02", "7.130E+02", "6.902E+02", "3.297", "6.580E+02", "8.362" "M3167, N2106", "Vy (N)", "8.779E+02", "8.644E+02", "1.561", "8.310E+02", "8.310E+02", "5.647" "", "Vz (N)", "1.693E+04", "1.622E+04", "4.345", "1.610E+04", "1.693E+04", "5.174" "", "MT (N.m)", "1.149E—03", "1.149E—03", "3.736E—02", "—96.925", "2.490E+01", "—99.99" "", "Mfy (N.m)", "1.075E+04", "1.075E+04", "1.017E+04", "1.030E+04", "4.382" "", "Mfz (N.m)", "3.034E+02", "3.202E+02", "—5.282", "3.210E+02", "—5.494" Spectral response - method ROSENBLUETH DSC ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ For this method, we used a simulation time of 30 seconds. Travel - column :math:`B` (in :math:`m`) .. csv-table:: "**Altitude Z (m)**", "**Component**", "**Component**", "**Code_Aster**", "**CASTEM 2000**", "**Difference in %**", "**SAMCEF**", "****", "**Difference in %**" "PM1: 1.5", "X", "1.858E—03", "1.858E—03", "1.746E—03", "6.396", "1.643E—3", "13.110" "N982", "Y", "2.230E—04", "2.230E—04", "2.197E—04", "1.493", "1.732E—3", "—87.124" "", "Z", "1.823E—06", "1.703E—06", "1.703E—06", "7.048", "2.113E—5", "—91.372" "PM2: 3.0", "X", "5.499E—03", "5.499E—03", "5.194E—03", "5.864", "5.241E—3", "4.917" "1st floor", "Y", "5.528E—04", "5.528E—04", "5.4825E—04", "0.827", "4.845E—3", "—88.590" "N1245", "Z", "3.646E—06", "3.646E—06", "3.406E—06", "7.048", "4.225E—5", "—91.370" "PM3: 4.5", "X", "9.919E—03", "9.919E—03", "9.398E—03", "5.534", "9.560E—3", "3.751" "N1530", "Y", "8.983E—04", "8.927E—04", "0.631", "8.603E—3", "—89.558" "", "Z", "4.601E—06", "4.300E—06", "4.300E—06", "6.991", "5.453E—5", "—91.699" "PM4: 6.0", "X", "1.432E—02", "1.432E—02", "1.359E—02", "5.386", "1.383E—2", "3.548" "2nd floor", "Y", "1.219E—03", "1.219E—03", "1.212E—03", "0.596", "1.23E—2", "—90.087" "N1815", "Z", "5.557E—06", "5.557E—06", "5.195E—06", "6.953", "6.861E—5", "—91.901" "PM5: 7.5", "X", "1.808E—02", "1.808E—02", "1.717E—02", "5.273", "1.748E—2", "3.434" "N2106", "Y", "1.439E—03", "1.439E—03", "1.431E—03", "0.525", "1.54E—2", "—90.657" "", "Z", "5.827E—06", "5.450E—06", "5.450E—06", "6.918", "7.381E—5", "—92.105" "PM6: 9.0", "X", "2.119E—02", "2.119E—02", "2.013E—02", "5.239", "2.059E—2", "2.892" "3rd floor", "Y", "1.609E—03", "1.609E—03", "1.600E—03", "0.524", "1.79E—2", "—91.015" "N2355", "Z", "6.097E—06", "6.097E—06", "5.704E—06", "6.886", "7.901E—5", "—92.283" Reaction in :math:`N` and Moment in :math:`\mathrm{N.m}` to the embedding of column :math:`B` (node :math:`\mathrm{N758}`). .. csv-table:: "**Reaction/Moment**", "**Code_Aster**", "**CASTEM 2000**", "**Difference in %**", "**SAMCEF**", "**Code_Aster**", "**Difference in %**" "Fx", "3.501E+04", "3.381E+04", "3.381E+04", "3.368E+04", "3.938" "Fy", "1.592E+03", "1.572E+03", "1.223", "2.270E+03", "—29.885" "Fz", "3.889E+03", "3.633E+03", "3.633E+03", "3.633E+03", "—22.330" "Mx", "2.891E+03", "2.872E+03", "2.872E+03", "2.872E+03", "—30.410" "My", "8.626E+04", "8.273E+04", "8.273E+04", "8.236E+04", "4.738" "Mz", "1.787E—03", "1.772E—01", "-98.992", "2.170E+01", "—99.99", "—99.99" Reaction in :math:`N` and Moment in :math:`\mathrm{N.m}` to the embedding of the central column :math:`E` (node :math:`\mathrm{N885}`). .. csv-table:: "**Reaction/Moment**", "**Code_Aster**", "**CASTEM 2000**", "**Difference in %**", "**SAMCEF**", "**Code_Aster**", "**Difference in %**" "Fx", "5.827E+04", "5.374E+04", "5.374E+04", "5.061E+04", "15.148" "Fy", "2.014E+03", "1.999E+03", "1.999E+03", "0.724", "2.855E+03", "—29.471" "Fz", "2.471E+02", "4.067E+02", "—39.252", "1.979E+03", "—87.515" "Mx", "3.310E+03", "3.298E+03", "3.298E+03", "3.298E+03", "—30.136" "My", "1.208E+05", "1.122E+05", "1.122E+05", "7.586", "1.075E+05", "12.386" "Mz", "1.783E—03", "1.770E—01", "1.770E—01", "-98.993", "2.601E+01", "—99.99" Generalized efforts from column :math:`B` "Low" element array (see note paragraph [:ref:`§4.1 <§4.1>`]) .. csv-table:: "**Altitude Z (m)**", "**Component**", "**Component**", "**Code_Aster**", "**CASTEM 2000**", "**Difference in %**", "**SAMCEF**", "****", "**Difference in %**" "PM1: 1.5", "N (N)", "3.889E+03", "3.889E+03", "3.633E+03", "7.048", "5.007E+03", "—22.327" "", "Vy (N)", "1.588E+03", "1.588E+03", "1.570E+03", "2.266E+03", "—29.938" "", "Vz (N)", "3.497E+04", "3.497E+04", "3.380E+04", "3.325E+04", "5.172" "", "MT (N.m)", "1.786E—03", "1.786E—03", "1.756E—01", "—98.983", "2.169E+01", "—99.99" "", "Mfy (N.m)", "3.378E+04", "3.204E+04", "5.445", "3.264E+04", "3.507" "", "Mfz (N.m)", "5.050E+02", "5.050E+02", "5.149E+02", "—1.933", "7.659E+02", "—34.067" "PM2: 3.0", "N (N)", "3.889E+03", "3.889E+03", "3.632E+03", "7.047", "5.007E+03", "—22.330" "1st floor", "Vy (N)", "1.566E+03", "1.566E+03", "1.554E+03", "2.235E+03", "—29.911" "M3160, N1245", "Vz (N)", "3.476E+04", "3.364E+04", "3.304", "3.290E+04", "3.290E+04", "5.646" "", "MT (N.m)", "1.786E—03", "1.786E—03", "1.646E—01", "—98.915", "2.167E+01", "—99.99" "", "Mfy (N.m)", "1.861E+04", "1.858E+04", "0.181", "1.752E+04", "6.243" "", "Mfz (N.m)", "1.863E+03", "1.863E+03", "1.825E+03", "2.623E+03", "—28.960" "PM3: 4.5", "N (N)", "2.039E+03", "2.039E+03", "1.910E+03", "6.770", "2.641E+03", "—22.799" "M3162, N1530", "Vy (N)", "1.338E+03", "1.338E+03", "1.255", "1.934E+03", "1.934E+03", "—30.834" "", "Vz (N)", "3.109E+04", "3.109E+04", "3.050E+04", "1.931", "2.997E+04", "3.751" "", "MT (N.m)", "1.543E—03", "1.543E—03", "1.402E—01", "—98.900", "2.573E+01", "—99.99" "", "Mfy (N.m)", "1.441E+03", "1.441E+03", "1.397E+03", "3.154", "1.447E+03", "—0.374" "", "Mfz (N.m)", "1.253E+02", "1.253E+02", "1.295E+02", "—3.277", "1.900E+02", "—34.035" "PM4: 6.0", "N (N)", "2.039E+03", "2.039E+03", "1.910E+03", "6.767", "2.640E+03", "—22.780" "2nd floor", "Vy (N)", "1.282E+03", "1.282E+03", "1.270E+03", "1.282E+03", "—31.030" "M3164, N1815", "Vz (N)", "3.040E+04", "2.990E+04", "1.675", "2.935E+04", "2.935E+04", "3.594" "", "MT (N.m)", "1.542E—03", "1.542E—03", "1.049E—01", "—98.53", "2.573E+01", "—99.99" "", "Mfy (N.m)", "4.656E+04", "4.546E+04", "2.413", "4.436E+04", "4.436E+04", "4.969" "", "Mfz (N.m)", "2.089E+03", "2.089E+03", "2.053E+03", "2.999E+03", "—30.340" "PM5: 7.5", "N (N)", "5.775E+02", "5.775E+02", "5.441E+02", "6.129", "7.773E+02", "—25.708" "M3166, N2106", "Vy (N)", "7.058E+02", "7.068E+02", "—0.143", "1.045E+03", "1.045E+03", "—32.457" "", "Vz (N)", "1.964E+04", "1.964E+04", "1.964E+04", "1.937E+04", "1.389" "", "MT (N.m)", "9.165E—04", "6.137E—04", "6.137E—02", "—98.51", "2.669E+01", "—100.00" "", "Mfy (N.m)", "1.254E+04", "1.254E+04", "1.205E+04", "1.210E+04", "3.652" "", "Mfz (N.m)", "2.431E+02", "2.488E+02", "—2.314", "3.815E+02", "—36.283" "Top" element array (see note paragraph [:ref:`§4.1 <§4.1>`]) .. csv-table:: "**Altitude** :math:`Z(m)` ", "**Component**", "**Code_Aster**", "**CASTEM 2000**", "**Difference in %**", "**SAMCEF**", "****", "**Difference in %**" ":math:`\mathrm{PM0}:0.0` ", "N (N)", "3.889E+03", "3.633E+03", "7.050", "—", "—" ":math:`\mathrm{M3157}`, :math:`\mathrm{N758}` ", "Vy (N)", "1.592E+03", "1.573E+03", "1.229", "—", "—" "", "Vz (N)", "3.501E+04", "3.501E+04", "3.382E+04", "—", "—" "", "MT (N.m)", "1.787E—03", "1.787E—03", "1.770E—01", "—98.991", "—", "—" "", "Mfy (N.m)", "8.626E+04", "8.273E+04", "4.267", "—", "—" "", "Mfz (N.m)", "2.891E+03", "2.872E+03", "0.647", "—", "—" ":math:`\mathrm{PM1}:1.5` ", "N (N)", "3.889E+03", "3.889E+03", "3.633E+03", "7.048", "5.007E+03", "—22.327" ":math:`\mathrm{M3159}`, :math:`\mathrm{N982}` ", "Vy (N)", "1.587E+03", "1.587E+03", "1.451", "2.255E+03", "—29.596" "", "Vz (N)", "3.497E+04", "3.497E+04", "3.375E+04", "3.306E+04", "5.773" "", "MT (N.m)", "1.786E—03", "1.786E—03", "1.718E—01", "—98.96", "2.168E+01", "—99.99" "", "Mfy (N.m)", "3.378E+04", "3.204E+04", "5.452", "3.263E+04", "3.263E+04", "3.539" "", "Mfz (N.m)", "5.050E+02", "5.050E+02", "5.147E+02", "—1.891", "7.655E+02", "—34.033" ":math:`\mathrm{PM2}:3.0` ", "N (N)", "2.039E+03", "2.039E+03", "1.910E+03", "7.358", "2.641E+03", "—22.791" ":math:`\mathrm{M3161}`, :math:`\mathrm{N1245}` ", "Vy (N)", "1.374E+03", "1.374E+03", "1.339E+03", "2.625", "1.374E+03", "—-29.711" "", "Vz (N)", "3.153E+04", "3.153E+04", "3.071E+04", "3.153E+04", "4.493" "", "MT (N.m)", "1.543E—03", "1.543E—03", "1.540E—01", "—98.99", "2.572E+01", "—99.99" "", "Mfy (N.m)", "4.663E+04", "4.663E+04", "4.559E+04", "4.51E+04", "3.363" "", "Mfz (N.m)", "1.914E+03", "1.869E+02", "2.396", "2.742E+03", "—30.190" ":math:`\mathrm{PM3}:4.5` ", "N (N)", "2.039E+03", "2.039E+03", "1.909E+03", "2.641E+03", "—22.799" ":math:`\mathrm{M3163}`, :math:`\mathrm{N1530}` ", "Vy (N)", "1.338E+03", "1.338E+03", "1.298E+03", "3.049", "1.902E+03", "—29.670" "", "Vz (N)", "3.110E+04", "3.110E+04", "3.023E+04", "2.969E+04", "4.734" "", "MT (N.m)", "1.543E—03", "1.543E—03", "1.237E—01", "—97.75", "2.573E+01", "—99.99" "", "Mfy (N.m)", "1.442E+03", "1.442E+03", "1.398E+03", "3.095", "4.440E+04", "0.110" "", "Mfz (N.m)", "1.253E+02", "1.298E+02", "—3.464", "1.904E+02", "—34.174" "PM4: 6.0", "N (N)", "5.778E+03", "5.442E+02", "6.158", "7.775E+02", "—25.689" "2nd floor", "Vy (N)", "7.731E+03", "7.731E+03", "7.402E+02", "4.444", "1.087E+03", "—28.875" ":math:`\mathrm{M3165}`, :math:`\mathrm{N1815}` ", "Vz (N)", "2.054E+04", "2.054E+04", "2.267", "1.977E+04", "1.977E+04", "3.887" "", "MT (N.m)", "9.172E—04", "9.172E—04", "8.407E—02", "—98.909", "2.670E+01", "—100.00" "", "Mfy (N.m)", "1.776E+04", "1.776E+04", "1.789E+04", "—0.745", "1.797E+04", "—1.176" "", "Mfz (N.m)", "8.696E+02", "8.388E+02", "3.663", "1.284E+03", "—32.273" ":math:`\mathrm{PM5}:7.5` ", "N (N)", "5.775E+02", "5.775E+02", "5.440E+02", "6.153", "7.771E+02", "—25.689" ":math:`\mathrm{M3167}`, :math:`\mathrm{N2106}` ", "Vy (N)", "7.058E+02", "6.704E+02", "5.279", "9.968E+02", "—29.191" "", "Vz (N)", "1.964E+04", "1.964E+04", "1.916E+04", "2.466", "1.891E+04", "3.848" "", "MT (N.m)", "9.165E—04", "9.165E—04", "3.736E—02", "—97.547", "2.669E+01", "—100.00" "", "Mfy (N.m)", "1.254E+04", "1.254E+04", "1.204E+04", "4.099", "1.211E+04", "3.566" "", "Mfz (N.m)", "2.431E+02", "2.490E+02", "—2.369", "3.816E+02", "—36.299"