Bentley 2006 Frozen Dessert Maker User Manual


 
Section 1
1-23
8) The plate bending portion can handle thick and thin plates,
thus extending the usefulness of the plate elements into a
multiplicity of problems. In addition, the thickness of the plate is
taken into consideration in calculating the out of plane shear.
9) The plane stress triangle behaves almost on par with the well
known linear stress triangle. The triangles of most similar flat
shell elements incorporate the constant stress triangle which
has slow rates of convergence. Thus the triangular shell
element is useful in problems with double curvature where the
quadrilateral element may not be suitable.
10) Stress retrieval at nodes and at any point within the element.
Plate Element Local Coordinate System
The orientation of local coordinates is determined as follows:
1) The vector pointing from I to J is defined to be parallel to the
local x- axis.
2) The cross-product of vectors IJ and IK defines a vector
parallel to the local z-axis, i.e., z = IJ x IK.
3) The cross-product of vectors z and x defines a vector parallel
to the local y- axis, i.e., y = z x x.
4) The origin of the axes is at the center (average) of the 4 joint
locations (3 joint locations for a triangle).
Figure 1.17