Abstract
Steel arches are widely used in civil engineering and industrial structures. Their response depends on material properties, geometric dimensions, and boundary conditions. The objective of the current study is to perform global sensitivity analysis and to assess the influence of random input parameters on the in-plane elastic buckling of steel arches. The in-plane elastic buckling load of steel arches under uniform compression proposed in previous studies is adopted. The influence of the random input variables of the structure is evaluated using Sobol’s global sensitivity analysis. Monte Carlo simulation is also employed to rank the influence of input random variables.
Highlights
Global sensitivity consists of the individual sensitivity of each variable and its interaction with other variables
Steel arches are widely used in civil engineering and industrial structures
This paper studies the sensitivity assessment of the input random variables on the in-plane elastic buckling load of the steel arches under uniform compression
Summary
Global sensitivity consists of the individual sensitivity of each variable and its interaction with other variables. Sobol’s sensitivity index is widely applied in the structural engineering field [1,2,3,4,5]. Steel arches are widely used in civil engineering and industrial structures. If the steel arches are adequately designed with lateral bracings so that their out-of-plane failure is fully prevented, in-plane buckling failure may occur [13, 14]. The in-plane elastic buckling of shallow arches with an arbitrary cross-section was investigated and the in-plane elastic buckling load of shallow arches was found to be much lower than that given by the classical theory [16, 17]. The classical in-plane buckling load should not be used as the reference load in the development of design methods for the in-plane strength of shallow steel arches
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