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FIGURE 6.24
Quadrilateral and solid elements.
EXAMPLE 6.5 Accuracy Test for an Eight-Node Solid Element
Consider an eight-node solid element as shown in Fig. 6.24b. This type of element is widely
used in structural analysis. Two kinds of shapes should be tested.
1. Regular—cube
2. Irregular—distorted
Some structures which employ this element are:
1. Straight beam
2. Curved beam
3. Twisted beam
4. Rectangular plate
5. Thick-walled cylinder
The structures are subject to the following loading:
1. For cantilevered straight, curved, and twisted beams—tip loading, including exten-
sional force and in-plane and out-of-plane shearing forces
2. For rectangular plate—in-plane and out-of-plane pressure or central load
3. For thick-walled cylinder—pressure at inner radius
The results of these tests should be compared to theoretical results. Usually these solid
elements work fairly well for straight beams under tensile loads, but significant errors can
result under bending loads when the element shape is irregular.
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