Generation of shape functions for straight beam elements
نویسنده
چکیده
Straight beam ®nite elements with greater than two nodes are used for edge stiening in plane stress analyses and elsewhere. It is often necessary to match the number of nodes on the edge stiener to the number on a whole plane stress element side. Beam elements employ shape functions which are recognised to be level one Hermitian polynomials. An alternative to the commonly adopted method for determining these shape functions is given in this note, using a formula widely reported in mathematical texts which has hitherto not been applied to this task in the ®nite element literature. The procedure derives shape functions for beams entirely from the set of Lagrangian interpolating polynomials. Examples are given for the derivation of functions for a three and four-noded beam element. # 1998 Elsevier Science Ltd. All rights reserved.
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