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: 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: Starting from a continuum mechanics basis, the principle of virtual displacements is used for deriving the differential equations of equilibrium for a horizontally curved I‐beam. In the present formulation, the effect of ...

Abstract: Vlasov and Yoo's curved‐beam theories have been criticized for not applying the principles of mechanics directly to the curved beam but deriving their equations as the analogies of straight‐beam equations. Although later ...

Abstract: A bending or torsional moment may be generated internally as the stress resultant of a cross section or externally by mechanical devices. Depending on how the moments are generated, they do not exhibit identical behaviors ...

Abstract: Previous buckling analyses for three‐dimensional frames based on discrete element formulations have been criticized for the lack of equilibrium at angled joints in the buckling state. While this problem can be overcome ...