Abstract: Conventional element assembly process based on the initial configuration of structures does not necessarily imply the satisfaction of compatibility conditions in the deformed state. This may result in a violation to the ...

Abstract: A new stiffness matrix for the analysis of thin walled beams is derived. Starting from the principle of virtual displacements, an updated Lagrangian procedure for nonlinear analysis is developed. Inclusion of nonuniform ...

Abstract: A geometric stiffness matrix for a beam element has been derived in a related paper. The derived matrix implies quasitangential behavior of bending moments and semitangential behavior of torques. Use of this element matrix ...

Abstract: This paper intends to derive the nonlinear differential equations of equilibrium for a horizontally curved I‐beam. Based on the principle of virtual displacements, the equilibrium of a bar is established for its deformed ...

Abstract: According to the law of rigid body motion, a body initially acted upon by a set of forces in equilibrium will experience no additional straining when subjected to a rigid body motion, and will remain in equilibrium after ...