Abstract
The out-of-plane stability of the two-hinged space truss circular arch with a rectangular section is theoretically and numerically investigated in this paper. Firstly, the flexural stiffness and torsional stiffness of space truss arches are deduced. The calculation formula of out-of-plane elastic buckling loads of the space truss arch is derived based on the classical solution of out-of-plane flexural-torsional buckling loads of the solid web arch. However, since the classical solution cannot be used for the calculation of the arch with a small rise-span ratio, the formula for out-of-plane elastic buckling loads of space truss arches subjected to end bending moments is modified. Numerical research of the out-of-plane stability of space truss arches under different load cases shows that the theoretical formula proposed in this paper has good accuracy. Secondly, the design formulas to predict the out-of-plane elastoplastic stability strength of space truss arches subjected to the end bending moment and radial uniform load are presented through introducing a normalized slenderness ratio. By assuming that all components of space truss circular arches bear only axial force, the design formulas to prevent the local buckling of chord and transverse tubes are deduced. Finally, the bearing capacity design equations of space truss arches are proposed under vertical uniform load.
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References
Zhuang X Y, Guo H W, Alajlan N, Zhu H H, Rabczuk T. Deep autoencoder based energy method for the bending, vibration, and buckling analysis of Kirchhoff plates with transfer learning. European Journal of Mechanics. A, Solids, 2021, 87: 104225
Vu-Bac N, Duong T X, Lahmer T, Zhuang X, Sauer R A, Park H S, Rabczuk T. A NURBS-based inverse analysis for reconstruction of nonlinear deformations of thin shell structures. Computer Methods in Applied Mechanics and Engineering, 2018, 331: 427–455
Vu-Bac N, Duong T X, Lahmer T, Areias P, Sauer R A, Park H S, Rabczuk T. A NURBS-based inverse analysis of thermal expansion induced morphing of thin shells. Computer Methods in Applied Mechanics and Engineering, 2019, 350: 480–510
Timoshenko S P, Gere J M. Theory of Elastic Stability. Bei**g: Science Press, 1965
Pi Y L, Bradford M A. In-plane strength and design of fixed steel I-section arches. Engineering Structures, 2004, 26(3): 291–301
Pi Y L, Bradford M A, Uy B. In-plane stability of arches. International Journal of Solids and Structures, 2002, 39(1): 105–125
Guo Y L, Yuan X, Bradford M A, Pi Y L, Chen H. Strength design of pin-ended circular steel arches with welded hollow section accounting for web local buckling. Thin-walled Structures, 2017, 115: 100–109
Guo Y L, Yuan X, Pi Y L, Bradford M A, Chen H. In-plane failure and strength of pin-ended circular steel arches considering coupled local and global buckling. Journal of Structural Engineering, 2017, 143(1): 04016157
Guo Y L, Huang L J. Design theory and method for in-plane ultimate strength of arches with web openings. Journal of Building Structures, 2007, 28: 23–30
Shi M J, Yuan B, Jiang T Z, Wei Y H. In-plane failure mechanisms and strength design of circular steel tubular Vierendeel truss arches with rectangular section. Structures, 2021, 29: 1779–1790
He H Y, Yuan B, Chen H N, Wei Y H. In-plane failure mechanism and stability bearing capacity design of planar plate-tube-connected circular steel arches. Mechanics Based Design of Structures and Machines, 2020, 50(1): 154–169
Dou C, Guo Y L, Zhao S Y, Pi Y L, Bradford M A. Elastic out-of-plane buckling loads of circular steel tubular truss arches incorporating shearing effects. Engineering Structures, 2013, 52: 697–706
Pi Y L, Trahair N S. Inelastic lateral buckling strength and design of steel arches. Engineering Structures, 2000, 22(8): 993–1005
Pi Y L, Bradford M A. Out-of-plane strength design of fixed steel I-section arches. Journal of Structural Engineering, 2005, 131(4): 560–568
Zhao S Y, Guo Y L, Dou C. Out-of-plane strength and design of space truss arches with triangular sections. Engineering mechanics, 2014, 31(9): 71–80
Guo Y L, Chen H, Pi Y L. In-plane failure mechanisms and strength design of circular steel planar tubular Vierendeel truss arches. Engineering Structures, 2017, 151: 488–502
Guo Y L, Zhao S Y, Dou C, Pi Y L. Out-of-plane strength design of spatially trussed arches with a rectangular lattice section. Journal of Constructional Steel Research, 2013, 88: 321–329
Bradford M A, Pi Y L. A new analytical solution for lateral-torsional buckling of arches under axial uniform compression. Engineering Structures, 2012, 41: 14–23
He H. Theoretical studies of in-plane stability of plate-tube-connected circular steel arch. Thesis for the Master’s Degree. Guiyang: Guizhou University, 2020 (in Chinese)
Guo Y L, Guo Y F, Dou C. In-plane buckling and design of two-hinged steel tube circular truss-arches under pure compression. Journal of Building Structures, 2010, 31(8): 45–53
Cao J J. Torsion calculation of tower crane tower—Discussion on the torsion formula in the book “tower crane for construction” of the Soviet Union. Construction Machinery and Equipment, 1985, 11: 37–43
Kinnick A K, Lu Z. H translation. Stability of Arches. Bei**g: Building Industry Press, 1958
Vu-Bac N, Lahmer T, Zhuang X, Nguyen-Thoi T, Rabczuk T. A software framework for probabilistic sensitivity analysis for computationally expensive models. Advances in Engineering Software, 2016, 100: 19–31
Guo Y L, Chen H, Pi Y L, Dou C, Bradford M A. In-plane failure mechanism and strength of pin-ended steel I-section circular arches with sinusoidal corrugated web. Journal of Structural Engineering, 2016, 142(2): 04015121
GB50017. Code for Design of Steel Structures. Bei**g: Ministry of Construction of the People’s Republic of China, 2017 (in Chinese)
Galambos T V. Guide to Stability Design Criteria for Metal Structures. New York: John Wiley & Sons, 1998
Acknowledgements
This study was supported by the National Natural Science Foundation of China (Grant No. 51168010).
