An Analytical Solution for Lateral Buckling Critical Load Calculation of Leaning-Type Arch Bridge

Table 1

Calculation parameters used in the FE model.

Span (m)	75
Rise-span ratio	1/4
The central angle of main arch (°)	87.21
The central angle of stable arch (°)	104
Inclined angle of stable arch rib (°)	5, 7, 9, 11, 13, 15, 17, 19, 21, 24, 27 and 30
Transverse brace length on arch crown (m)	1.55
Number of transverse brace	6
Lateral bending stiffness of main arch rib (MN·m^2)	1.414 × 10^4
Torsional stiffness of main arch rib (MN·m^2)	1.111 × 10^3
Lateral bending stiffness of stable arch rib (MN·m^2)	1.179 × 10^4
Torsional stiffness of main arch rib (MN·m^2)	0.926 × 10^3
Transverse brace’s bending stiffness along radial direction of arch rib (MN·m^2)	36.84
Transverse brace’s bending stiffness along tangential direction of arch rib (MN·m^2)	1.058 × 10^2
Lateral bending stiffness of girder (MN·m^2)	2.3 × 10^7
Vertical bending stiffness of girder (MN·m^2)	5.52 × 10^4
Lateral bending stiffness of transverse beam (MN·m^2)	1.15 × 10^4
Vertical bending stiffness of transverse beam (MN·m^2)	7.187 × 10^2
The cross section area of hangers (m^2)	1.25664 × 10^−3
Poisson’s ratio	0.2