Out-of-plane elastic buckling load and strength design of space truss arch with a rectangular section

doi:10.1007/s11709-022-0866-5

Front. Struct. Civ. Eng.

2022, Vol. 16

Issue (9) : 1141-1152 https://doi.org/10.1007/s11709-022-0866-5

RESEARCH ARTICLE

Out-of-plane elastic buckling load and strength design of space truss arch with a rectangular section

Senping WANG, Xiaolong LIU, Bo YUAN(

), Minjie SHI, Yanhui WEI

Space Structures Research Center, Guizhou University, Guiyang 550025, China

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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.

Keywords torsional stiffness strength design elastic buckling space truss arches out-of-plane

Corresponding Author(s): Bo YUAN

Just Accepted Date: 09 September 2022 Online First Date: 15 November 2022 Issue Date: 22 December 2022

Cite this article:

Senping WANG,Xiaolong LIU,Bo YUAN, et al. Out-of-plane elastic buckling load and strength design of space truss arch with a rectangular section[J]. Front. Struct. Civ. Eng., 2022, 16(9): 1141-1152.

URL:

https://academic.hep.com.cn/fsce/EN/10.1007/s11709-022-0866-5
https://academic.hep.com.cn/fsce/EN/Y2022/V16/I9/1141

Fig.1 Geometric dimensions of the arch.

Fig.2 Model for steel tube properties.

Fig.3 Loads cases considered in this research: (a) radial uniform load; (b) end bending moment; (c) full-span vertical uniform load and half-span vertical.

Fig.4 Tower truss: (a) overall dimensions of the tower truss; (b) load and displacement of plane truss.

Fig.5 Torsional stiffness: (a) changing diameter of the chord tube; (b) changing number of chord segments.

Fig.6 Comparison between FE results and Eq. (17): (a) changing spans rise-span ratio; (b) changing spans; (c) changing dimensions of the transverse tube; (d) changing cross section width.

Fig.7 Comparison between FE results and Eq. (18).

Fig.8 Comparison between FE results and Eq. (19).

Fig.9 Comparison between spatial model and plane mode.

Fig.10

φ a

?λ_N curve of the arches.

Fig.11

φ b

?λ_M curve of the arches under the action of end bending moment.

Fig.12 Effects of chord tube buckling under the radial uniform load.

Fig.13 Simplified model of the segment chord.

Fig.14 Comparison between FE results and Eq. (38): (a) changing diameter of the chord tube; (b) changing spans.

Fig.15 Simplified model of transverse tubes.

Fig.16 Verification of Eq. (51): (a) full-span vertical uniform load; (b) half-span vertical uniform load.

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