Update 1D Element Properties Using Cross Sections

Use the Section Property tool to update properties assigned to bar2 or rod elements (target) using a cross section on various entities as the source.

The source could either be:
  • A collection of solid geometries
  • A collection of surfaces
  • A collection of elements (2D & 3D)
  1. From the Mesh ribbon, click the Section Property tool.


    Figure 1.
  2. Select 1D elements to update.

    Selection is filtered to retain only valid elements (bar2 and rod configurations). Moreover, for OptiStruct and Nastran, a further filter is performed on element types to retain only CBAR/CBEAM/CROD elements.

  3. Select source elements.
    Sources are the entities intersected with a plane used to calculate sectional properties. Valid sources types are:
    • Solids
    • Surfaces
    • Elements

    If surfaces or 2D elements are selected, then the intersection with a plane (lines) is inflated using local thickness. It is mandatory to have a valid property with a thickness value assigned to sources. In the case of surfaces, it must be done at the component level.

    Moreover, the source entities' materials are used to evaluate material weighted sectional properties. As specified in Materials, if a material is not available for a region, the default is used.

  4. Use the first icon menu in the microdialog to define plane locations and where intersections are generated on source elements.


    Figure 2. Section Cut: a) Single cut b)Per element c)Per node
    Single cut

    Update a list of elements with a single property extracted from a single user-defined location. Click to define the cutting plane. You can adjust the base point and plane normal. Placing the cutting tool on a target element will adjust the plane’s normal along the selected element’s X axis.

    A single preview shows intersections before proceeding. Changing the source updates the preview.

    The reference point (see Orientation and Offset) is the intersection of the cutting plane with a target element. This defines the reference orientation and offset.

    If you perform a section cut using a plane which does not intersect any of the target elements (Figure 3), then the reference point is extracted from the plane's base point.

    You need to pay attention to the local normal and relative position of the manipulator in the section cut to obtain accurate result to assign to its target selection. Target elements must have consistent orientation.



    Figure 3. Single cut out of targets
    Cut per element
    Automatically perform a section cut on each target element. As explained in Orientation and Offset, the resultant section is valid per element no matter its orientation. The intersection is done by default on the midpoint of the target element. You can set a value (0 to 1) to specify the parametric position between the target element’s nodes (Figure 4). The orientation can’t be changed. The plane is normal to the target’s X axis.

    Since a cut is performed per element, all meshing processes and calculations are done as many times as target elements selected. This is obviously more time consuming than a single cut. Whenever a region of multiple targets share the same section, it is advisable to use the Single Cut method to reduce computation time.

    However, it is possible to consolidate and reduce the number of beamsections created if they fall within the same range of values. Associated properties can also be consolidated. These options are accessed from the guide bar menu ().



    Figure 4. Intersection at 30% resp. 80% of each element
    Cut per node
    A cut is performed on each node of the target elements. If adjacent elements form a vertex angle between their X axis below the threshold angle tolerance, a single cut is done for common nodes; otherwise, one cut per element is performed at the same node using different normal. No additional test is done on (Y,Z) axis deviation from adjacent elements. Properties will be created with two beam sections: one at each end station. If a single cut is done on a node, the two adjacent properties share the same beam section for their relative station.
  5. Click in the microdialog to toggle between a finite and infinite plane.

    In some situations, it is best to consider a finite plane to intersect sources. In the Figure 5, using the (default) infinite planes would result in undesired regions considered during trimming. In such cases, you can switch to a finite plane and define the width and height of the section cut. However, it is not possible to define the size location per location. The width and height will be common for all intersections.

    Finite planes are available for all types of cuts (single | per element | per node) and all types of sources. However, when sources are Solid geometries, a cut is considered valid only if it fully crosses boundary surfaces (solid partial cut is not supported).



    Figure 5. Finite size planes
  6. Use the second icon menu in the microdialog to choose between offsetting or translating the beams.
    Translating will actually translate beam nodes to match the source and can be done to the shear center or the centroid.
    Figure 6. Beam offset


    Figure 7. Beam translate
  7. Click on the guide bar to define how to handle welds and contacts.
    See Disconnected Parts for more information.
  8. Optional: Select a target material.

    If the Auto calculate checkbox is turned on below the guide bar, a homogenized material is automatically generated. Otherwise, if switched off, select a target material to be used.

    Refer to comments in Sectional Property Evaluation Theory regarding the normalization of sectional properties using material to obtain correct stiffnesses.

  9. Click .

    The sectional properties calculation is launched. When the process is done, a review of the calculated sections is shown. Properties are created based on the element configuration and assigned to elements. Offset is applied to target elements. Material and beam sections are generated per property.

    The review considers real section shapes (after inflates) as well as offsets. If you proceed with different selections or exit the tool, the graphic review goes away.

    The actual shape of a section is currently not saved in the generic beam section generated. Using Beam details view will show an equivalent rectangle as usual.


    Figure 8.
Tip: Use the legend in the top-left of the modeling window to control the display of the plot.

Sectional Property Evaluation Theory

The Section Property tool calculates the intersection between a plane and source entities. It can be a plane per 1D target element or a single cut at a user-defined reference location.

Depending on the source type, intersections may be:
  • Closed loops which defines planar surfaces
    • Intersection with solid geometry or 3D elements (Figure 11)
    • Directly meshed in 2D space (Figure 12)
  • Lines in plane
    • Intersection of surfaces or shell mesh (Figure 9)
    • Domain is inflated considering local thickness before meshing the 2D space (Figure 10)


Figure 9. Intersections with shell with thickness


Figure 10. Mesh after section inflate


Figure 11. Intersections with solids (geometry)


Figure 12. Mesh of solid intersections

Material info is considered from each intersected entity. If source entities intersected are solids or surfaces, then the material is extracted from the component which holds the intersected geometry. If source entities are elements, then material info is gathered from each element (directly or through component).

Sectional properties are hence calculated following theory as described in: “Analysis and Design of Elastic Beams: Computational Methods, Walter D. Pilkey”

The material neutral axis is calculated along with stiffness terms EIyy, EIzz, GJ, and EA considering local material info. Shear Center and warping properties like torsional constant and warping constant are also calculated.

After sectional properties are calculated accounting for all materials, a regular homogeneous beam property is created referring to a single (homogenous) material and a generic beamsection.

You can specify a target material to be used for homogenization or let the tool auto-calculate the material property using effective young modulus. The beam section area and area moments of inertia are set based on the material's Young modulus to retrieve the same stiffness terms as calculated from the intersected entities.

In turn, if the material is auto-generated, its young modulus is derived from the section product EA and total area A as Eeff= (EA)sec/A. The area moments of inertia are then I=EI/ Eeff; Moments of inertias will deviate from geometric quantities in case of multiple materials, but the section’s Area is correct.

If a target material is provided, then its young modulus will be used; hence all geometric terms A, Iyy, Izz, Iyz may deviate from those calculated by closed form equations for similar geometric shapes.

Orientation and Offset

The elemental system of target 1D elements remain unchanged during the update process.

When a cross section is performed on a 1D element, its local X axis is taken as the section plane’s normal. The beamsection local 2D system (Y, Z) matches with the elemental axis (Y, Z). Sectional properties are hence valid in elemental system as defined. If orientation needs to be adjusted, it is advisable to update the element orientation first (see Orient Bar2 Elements).



Figure 13. Section cut per element

Since a cut is performed per element in Figure 13, each section has its own local system matching the elemental system, as shown in Figure 14 & Figure 15. The origin of the system, from which Centroid and Shear Center coordinates are saved in the beamsection entity, is taken at the center of the bounding of the section in the local system.

The distance between the calculated Shear Center and the reference point (where plane intersects 1D in Figure 14 & Figure 15) is the offset which is assign to the 1D element in OptiStruct and Nastran.


Figure 14. First section


Figure 15. Second section
After proceeding, a preview shows the resulting beam cross section taking into account orientation and offset.


Figure 16. Calculated section after offset
Restriction: The tool has provision to perform a single cut at a user-defined position. It will then create a single property and assign that property to a collection of target elements. This is valid only if orientations are consistent. The tool internally performs an average of the system Z axis among selected targets to define the local system where sectional properties are calculated. The preview will show inconsistencies if any.


Figure 17. Single section cut on misaligned elements

Materials

If a region has no material assigned, the calculation uses E =1, nu =0, and G = 0.5 by default.

Otherwise, materials are extracted from properties (on elements or components). To account for material info on geometry, it is mandatory to assign a material to the component which holds the geometry. It is important to note that if a geometric component lacks material info, the engine will use defaults as mentioned before. It is fine if no other materials are in use, but might lead to inconsistent results if a mix of default and true materials are used in the same section.

Disconnected Parts

A section cut on a model may lead to disconnected regions. It could be because of separate bodies which are glued or welded, or because section undergoes a hole in model. A valid section needs to be connected to consider it as an equivalent beam section.

In any case, the Section Property tool generates a beamsection with geometric properties like area and second moments of inertia calculated. However, to fully complete the process and calculate shear center position as well as torsional & warping constants, the section need to be “connected”.

The tool provides two options called “weld” and “contact”.

Welds
The regions made of thin parts (intersections with 2D elements or surfaces) can be welded based on the line domain proximity (before mesh inflate). The weld option has 3 values:
  • Force connection - Always try to link disconnected line domains as “best match”.
  • Spot weld - Try to weld disconnected line domains within user-defined tolerance.
  • No weld - Never try to reconnect line domains.


Figure 18. Section made of 3 thin parts. Without or with welds.
Contacts
All domains like 3D region cuts or inflated domains (Figure 18) that remain disconnected are candidates for auto-contact. Auto-contact will internally generate kinematic equations to glue domains which are in proximity. The contact option has 3 values:
  • Best match - Search contact between domains based on internal tolerance calculated from local mesh size.
  • User defined - Search contact between domains based on user defined tolerance.
  • No contact - No contact searches.

After welding lines and gluing domains, sectional properties are calculated as described above.