The potential energy expression and the (14 by 14) stiffness matrix of a straight thin-walled beam element of open asymmetric cross section, subjected to initial axial force, initial bending moments, and initial bimoment, are derived. The transformation matrix relating the forces and displacements (including bimoment and warping parameter) at the adjacent end cross section of two elements meeting at an angle is deduced as the limiting case of a transfer matrix of a curved beam. Results of lateral post-buckling analysis of various beams are presented.
|Original language||English (US)|
|Number of pages||23|
|Journal||ASCE J Eng Mech Div|
|State||Published - Jan 1 1973|
ASJC Scopus subject areas
- Environmental Science(all)
- Earth and Planetary Sciences(all)