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Nonlinear Static and Dynamic Analysis of Steel Structures with ...

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Chapter 2 Finite element modeling <strong>with</strong> ABAQUS/St<strong>and</strong>ard<br />

34<br />

Fig. 2.6: Local axis definition for beam-type elements<br />

For beams in a plane the n1-direction is always (0.0, 0.0, –1.0); that is, normal to the plane<br />

in which the motion occurs. Therefore, planar beams can bend only about the first beamsection<br />

axis. For beams in space the approximate direction <strong>of</strong> n1 must be defined directly<br />

as part <strong>of</strong> the beam section definition or by specifying an additional node <strong>of</strong>f the beam axis<br />

as part <strong>of</strong> the element definition. This additional node is included in the element's<br />

connectivity list.<br />

If an additional node is specified, the approximate direction <strong>of</strong> n1 is defined by the<br />

vector extending from the first node <strong>of</strong> the element to the additional node.<br />

If n1 is defined directly for the section <strong>and</strong> an additional node is specified, the direction<br />

calculated by using the additional node will take precedence.<br />

If the approximate direction is not defined by either <strong>of</strong> the above methods, the default<br />

value is (0.0, 0.0, –1.0).<br />

2.2.2 Shell elements<br />

Shell elements are used to model structures in which one dimension, the thickness, is<br />

significantly smaller than the other dimensions. Conventional shell elements use this<br />

condition to discretize a body by defining the geometry at a reference surface. In this case<br />

the thickness is defined through the section property definition. Conventional shell<br />

elements have displacement <strong>and</strong> rotational degrees <strong>of</strong> freedom. In contrast, continuum<br />

shell elements discretize an entire three-dimensional body. The thickness is determined<br />

from the element nodal geometry. Continuum shell elements have only displacement<br />

degrees <strong>of</strong> freedom. From a modeling point <strong>of</strong> view continuum shell elements look like<br />

three-dimensional continuum solids, but their kinematic <strong>and</strong> constitutive behavior is<br />

similar to conventional shell elements. In this thesis, only conventional shells are used.

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