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BEAM_SECTION.html
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<html><head><link rel="stylesheet" type="text/css" href="style.css"/></head><body> <H2> <BR> *BEAM SECTION </H2> <P> Keyword type: model definition <P> This option is used to assign material properties to beam element sets. The parameters ELSET, MATERIAL and SECTION are required, the parameters ORIENTATION, OFFSET1, OFFSET2 and NODAL THICKNESS are optional. The parameter ELSET defines the shell element set to which the material specified by the parameter MATERIAL applies. The parameter ORIENTATION allows to assign local axes to the element set. If activated, the material properties are applied to the local axis. This is only relevant for non isotropic material behavior. <P> The parameter SECTION defines the cross section of the beam and takes the value RECT for a rectangular cross section, CIRC for an elliptical cross section, PIPE for a pipe cross section, BOX for a box cross section and GENERAL for a section defined by its area and moments of intertia. A rectangular cross section is defined by its thickness in two perpendicular directions, an elliptical cross section is defined by the length of its principal axes. These directions are defined by specifying direction 1 on the third line of the present keyword card. A pipe cross section is defined by its outer radius (first parameter) and its thickness (second parameter). A box cross section is defined by the parameters <SPAN CLASS="MATH"><B><IMG WIDTH="12" HEIGHT="14" ALIGN="BOTTOM" BORDER="0" SRC="img334.png" ALT="$ a$"></B></SPAN>,<SPAN CLASS="MATH"><B><IMG WIDTH="11" HEIGHT="15" ALIGN="BOTTOM" BORDER="0" SRC="img335.png" ALT="$ b$"></B></SPAN>,<SPAN CLASS="MATH"><B><IMG WIDTH="17" HEIGHT="29" ALIGN="MIDDLE" BORDER="0" SRC="img336.png" ALT="$ t_1$"></B></SPAN>,<SPAN CLASS="MATH"><B><IMG WIDTH="17" HEIGHT="29" ALIGN="MIDDLE" BORDER="0" SRC="img337.png" ALT="$ t_2$"></B></SPAN>,<SPAN CLASS="MATH"><B><IMG WIDTH="17" HEIGHT="29" ALIGN="MIDDLE" BORDER="0" SRC="img338.png" ALT="$ t_3$"></B></SPAN> and <SPAN CLASS="MATH"><B><IMG WIDTH="17" HEIGHT="29" ALIGN="MIDDLE" BORDER="0" SRC="img339.png" ALT="$ t_4$"></B></SPAN> (cf. Figure 81, <SPAN CLASS="MATH"><B><IMG WIDTH="12" HEIGHT="14" ALIGN="BOTTOM" BORDER="0" SRC="img334.png" ALT="$ a$"></B></SPAN> is in the local 1-direction, <SPAN CLASS="MATH"><B><IMG WIDTH="11" HEIGHT="15" ALIGN="BOTTOM" BORDER="0" SRC="img335.png" ALT="$ b$"></B></SPAN> is in the local 2-direction (perpendicular to the local 1-direction), <SPAN CLASS="MATH"><B><IMG WIDTH="17" HEIGHT="29" ALIGN="MIDDLE" BORDER="0" SRC="img336.png" ALT="$ t_1$"></B></SPAN> is the thickness in the positive local 1-direction and so on). <P> Notice that, internally, PIPE and BOX cross sections are expanded into beams with a rectangular cross section (this is also the way in which the beam is stored in the .frd-file and is visualized in the postprocessor. The actual cross section is taken into account by appropriate placement of the integration points). This rectangular cross section is the smallest section completely covering the PIPE or BOX section. For instance, for a pipe section the expanded section is square with side length equal to the outer diameter. For the expansion the local direction 1 and 2 are used, therefore, special care should be taken to define direction 1 on the second line underneath the *BEAM SECTION card. The default for direction 1 is (0,0,-1). <P> The GENERAL section can only be used for user element type U1 and is defined by the cross section <SPAN CLASS="MATH"><B><IMG WIDTH="16" HEIGHT="15" ALIGN="BOTTOM" BORDER="0" SRC="img389.png" ALT="$ A$"></B></SPAN>, the moments of inertia <SPAN CLASS="MATH"><B><IMG WIDTH="24" HEIGHT="30" ALIGN="MIDDLE" BORDER="0" SRC="img362.png" ALT="$ I_{11}$"></B></SPAN>, <SPAN CLASS="MATH"><B><IMG WIDTH="24" HEIGHT="30" ALIGN="MIDDLE" BORDER="0" SRC="img363.png" ALT="$ I_{12}$"></B></SPAN> and <SPAN CLASS="MATH"><B><IMG WIDTH="24" HEIGHT="30" ALIGN="MIDDLE" BORDER="0" SRC="img364.png" ALT="$ I_{22}$"></B></SPAN> and the Timoshenko shear coefficient <SPAN CLASS="MATH"><B><IMG WIDTH="13" HEIGHT="15" ALIGN="BOTTOM" BORDER="0" SRC="img365.png" ALT="$ k$"></B></SPAN>. The PIPE, BOX and GENERAL cross section are described in detail in Section 6.3. <P> The OFFSET1 and OFFSET2 parameters indicate where the axis of the beam is in relation to the reference line defined by the line representation given by the user. The index 1 and 2 refer to the local axes of the beam which are perpendicular to the local tangent. To use the offset parameters direction the local directions must be defined. This is done by defining local direction 1 on the third line of the present keyword card. The unit of the offset is the thickness of the beam in the direction of the offset. Thus, OFFSET1=0 means that in 1-direction the reference line is the axis of the shell, OFFSET2=0.5 means that in 2-direction the reference line is the top surface of the beam. The offset can take any real value and allows to construct beam of nearly arbitrary cross section and the definition of composite beams. <P> The parameter NODAL THICKNESS indicates that the thickness for ALL nodes in the element set are defined with an extra *NODAL THICKNESS card and that any thicknesses defined on the *BEAM SECTION card are irrelevant. <P><P> <BR> <P> First line: <UL> <LI>*BEAM SECTION </LI> <LI>Enter any needed parameters. </LI> </UL> <P> Second line: <UL> <LI>thickness in 1-direction </LI> <LI>thickness in 2-direction </LI> </UL> <P> Third line: <UL> <LI>global x-coordinate of a unit vector in 1-direction (default:0) </LI> <LI>global y-coordinate of a unit vector in 1-direction (default:0) </LI> <LI>global z-coordinate of a unit vector in 1-direction (default:-1) </LI> </UL> <P> <PRE>
Example:
*BEAM SECTION,MATERIAL=EL,ELSET=Eall,OFFSET1=-0.5,SECTION=RECT
3.,1.
1.,0.,0.
</PRE> <P> assigns material EL to all elements in (element) set Eall. The reference line is in 1-direction on the back surface, in 2-direction on the central surface. The thickness in 1-direction is 3 unit lengths, in 2-direction 1 unit length. The 1-direction is the global x-axis. <P> <P><P> <BR> Example files: beamcom, beammix, shellbeam, swing, simplebeampipe1,simplebeampipe2,simplebeampipe3,simplebeampipe4. <P> </body></html>