Stiffness Matrix for a Beam Element Including Transverse Shear and Axial Force Effects.
Internat J Numer Methods Eng 11(11):1681-1697
A simple and direct procedure is presented for the formulation of an element stiffness matrix on element coordinates for a beam member and a beam-column member including shear deflections. The resulting stiffness matrices are compared with those obtained using the alternative formulation in terms of member flexibilities. The relative effects of axial force and shear force on the stiffness coefficients are presented. The critical buckling loads, considering the effects of shear force, are computed and compared with those available in the literature. Only prismatic members are considered.
Internat. J. Numer. Methods Eng., V. 11, No. 11, PP. 1681-1697