Pg. Lee et Hc. Sin, LOCKING-FREE STRAIGHT BEAM ELEMENT BASED ON CURVATURE, Communications in numerical methods in engineering, 9(12), 1993, pp. 1005-1011
The formulation of a straight beam element to eliminate the shear lock
ing phenomenon is presented. The element is based on curvature so that
the bending energy is fully represented, and the shear strain energy
is incorporated into the formulation by the equilibrium equation. Four
examples are chosen to verify the concept of the element employed and
its capability of the analysis. The solutions obtained reveal that th
e element describes the behaviour of the straight beam quite exactly a
nd efficiently, showing no locking and that it is also applicable to t
he analysis of both thin and thick straight beams.