Nonlinear analysis of buckling and postbuckling behavior of circular arches

Discussion: “Distribution of Mass, Velocity, and Intensity of Turbulence in a Two-Phase Turbulent Jet” (Hetsroni, G., and Sokolov, M., 1971, ASME J. Appl. Mech., 38, pp. 315–327)

“…7 and 8, and the discusser's equation (2). They strongly suggest that the aerosols did not change the spreading of the jet, but rather simply moved the origin of similarity further downstream.…”

“…2 The authors have quantified the effects of aerosol droplets on a turbulent jet. Their results have suggested a decrease in the widening rate and turbulent intensities of the jet due to the presence of the aerosol droplets.…”

In-Plane Strength of Steel Arches

“…(1) use of the Euler-Bernoulli theory of bending, (2) application of nonlinear strain-displacement relationships that allow for large displacements and rotations, (3) inclusion of distributions of longitudinal normal residual stresses due to manufacturing and curving, as are described subsequently, (4) inclusion of initial geometric imperfections (5) inclusion of user-defined stress-strain relationships.…”

“…The in-plane elastic buckling load of arches is an important reference in the design of steel arches against their in-plane failure. The in-plane elastic buckling of arches has been studied by many researchers [1,2,3,4,5,6,7]. Early treatments of the in-plane elastic buckling of steel arches concentrated on the classical buckling analysis and are summarized in Galambos [8].…”

“…Gjelsvik and Bodner [10] obtained approximate solutions for fixed shallow circular arches with rectangular cross-section, and Schreyer and Masur [11] derived analytical solutions for fixed shallow arches with rectangular cross-section. Pi et al [12] investigated the in-plane elastic buckling of shallow arches with an arbitrary cross-section, and found that the in-plane elastic buckling load of shallow arches are much lower than that given by classical theory [1,2,3,4,5,6,7] and so the classical in-plane buckling load should not be used as the reference load in the development of design methods for the in-plane strength of shallow steel arches.…”