Out-of-Plane Elastic Stability Analysis of Parabolic and Circular Arches

Abstract:

Effects of different load modes, rise-span ratios and support conditions on out-of-plane buckling and differences between parabolic and circular arches were studied. With the increase of rise-span ratio, buckling loads of arches under vertical load uniformly distributed along the horizontal line get bigger and bigger compared with those of vertical load uniformly distributed along the axis. With increase of rise-span ratio, the buckling loads of hingeless and two-hinged arch increase after decrease, then decrease. The buckling load of three-hinged arch decreases after increases. When rise-span ratio is small, support condition has a great influence on out-of-plane buckling. The parabolic arch is better than circular arch in out-of-plane stability and economy. But circular arch is better than parabolic arch in manufacture.

• Periodical: Applied Mechanics and Materials (Volumes 638-640)
• Pages: 190-196
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.638-640.190
• Online since: September 2014
• Authors: Jun Jian Fan*, Kuan Tang Xi
• Keywords: Circular Arch, Out-Of-Plane Instability, Parabolic Arch

References

[1] DIN18800-Ⅱ Structural steel work[S]. Berlin: Deulsches institut für Normung e.V. (1990).

[2] Technical specification for steel arch structure[S]. Beijing: China Planning Press, (2002).

[3] Haifan Xiang. Stability and vibration of arch structure[M]. Beijing: China Communications Press, (1991).

[4] Papangelis J P, Trahair N S. Flexural-torsional buckling of Arch[J]. Journal of Structural Engineering, ASCE, 113, 4, 1987: 889-906.

[5] Trahair N S, Papangelis J P. Flexural-torsional buckling of monosymmetric arches[J]. Journal of Structural Engineering, 113, 10, 1987: 2271- 2289.

DOI: 10.1061/(asce)0733-9445(1987)113:10(2271)

[6] Yonghua Yang, Yiyi Chen. Theoretic solution for flexural-torsional buckling load of elastic fixed circular arches [J]. Engineering Mechanics, 2008, 25(4): 1-4, 20.

[7] Yonghua Yang, Jie Wu. Out of plane stability of mono-symmetric circular arches [J]. Engineering Mechanics, 2012, 29（3）: 27-32.

[8] Caihong Qiao, Yanlin Guo. Out-of plane stability design of pin-ended circular steel arch under pure compression[J]. Industrial Construction, 2009, 39(12): 90-94.

[9] Sakimoto T, Komatsu S. Ultimate strength formula for steel arches [J]. Journal of Structural Engineering, 1983, 109(3): 613-627.

DOI: 10.1061/(asce)0733-9445(1983)109:3(613)

[10] Pi Y L, Trahair N S. Out-of-plane inelastic buckling and strength of steel arches [J]. Journal of Structural Engineering, ASCE, 1998, 124(2): 174-183.

DOI: 10.1061/(asce)0733-9445(1998)124:2(174)

[11] Pi Y L, Bradford M A. Out-of-plane strength design of fixed steel I-section arches [J]. Journal of Structural Engineering, ASCE, 2005, 131(4): 560-568.

DOI: 10.1061/(asce)0733-9445(2005)131:4(560)

[12] Chao Dou, Yanlin Guo. Out-of-plane inelastic stability of circular arches under bending moment [J]. Journal of Building Structures, 2012, 33(7): 18-26.

[13] Chao Dou, Yanlin Guo. Out-of-plane inelastic stability of strength design of circular arches in uniform compression[J]. Journal of Building Structures, 2012, 33(1): 104-110.

[14] Yanlin Guo, Bing Lin, Yufei Guo. Experimental study on in-plane stability of welded I-section steel parabolic arches[J]. Journal of Building Structures, 2009, 30 (3): 95-102.

[15] Bing Lin, Yanlin Guo. In-plane stability behavior and application of parabolic arches under pure compression [J]. Journal of Building Structures, 2009, 30 (3): 103-111.

[16] Yuji Chen, Qizhi Luo. Study for in-plane buckling critical state of thin-walled parabolic arch structure[J]. Spatial Structures, 2013, 19(2): 30-33.