2007
DOI: 10.1016/j.tws.2007.02.002
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Flexural-torsional buckling of shallow arches with open thin-walled section under uniform radial loads

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Cited by 33 publications
(11 citation statements)
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References 9 publications
(18 reference statements)
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“…Sakimoto and Namita [11] investigated the out-of-plane buckling of solid rib arches braced with transverse bars. By using the principal of stationary potential energy and Rayleigh-Ritz method, Pi and Bradford [12][13][14][15][16][17][18][19][20][21][22][23] proposed analytical solutions for the elastic bending and torsional buckling loads of circular arches with boundary conditions of hinged, fixed and in-plane elastic rotation constraints under concentrated forces, uniform compression and uniform bending. Dou et al [24] first proposed a method for solving the shear and torsional stiffness of truss arches, and derived an analytical solution for the buckling load of lateral bending and torsional instability of truss arches with fixed restraints under uniform compression and bending based on the energy method.…”
Section: Introductionmentioning
confidence: 99%
“…Sakimoto and Namita [11] investigated the out-of-plane buckling of solid rib arches braced with transverse bars. By using the principal of stationary potential energy and Rayleigh-Ritz method, Pi and Bradford [12][13][14][15][16][17][18][19][20][21][22][23] proposed analytical solutions for the elastic bending and torsional buckling loads of circular arches with boundary conditions of hinged, fixed and in-plane elastic rotation constraints under concentrated forces, uniform compression and uniform bending. Dou et al [24] first proposed a method for solving the shear and torsional stiffness of truss arches, and derived an analytical solution for the buckling load of lateral bending and torsional instability of truss arches with fixed restraints under uniform compression and bending based on the energy method.…”
Section: Introductionmentioning
confidence: 99%
“…Similar loading case is considered by ref. [9] which takes a radial central load into account to formulate elastoplastic buckling of arch structures, numerically. A different loading type, which is axial and end moment, is studied by Asadi et al [10] to investigate buckling behavior of both open and closed section beams.…”
Section: Introductionmentioning
confidence: 99%
“…Several studies have reported on the elastic LTB of pinned arches/curved beams in uniform compression and bending. From the reported studies, some of the analytical studies include those by Timoshenko and Gere [11], Vlasov [12], Yoo and Pfeiffer [14], Rajasekaran and Ramm [15], Papangelis and Trahair [16], Yang and Kuo [17,18], Rajasekaran and Padmanabhan [19], Yang et al [20], Trahair [21], Kang and Yoo [22], Bradford et al [23], Pi et al [24], Bradford et al [25,26], Yang et al [27], and Pi and Bradford [28]. Some discrepancies exist among the reported studies.…”
Section: Introductionmentioning
confidence: 99%