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A platform for research: civil engineering, architecture and urbanism
Collapse Failure Assessment of Geomaterials behind Steel Structure in Tunnels Using the Chebyshev Inequalities
The distance of supporting steel structures in tunnels is determined by experience, and, to our best knowledge, there are few precise guidelines in the current design of underground construction. This paper aims to propose an optimum distance of a steel arch structure taking the uncertainties of geomaterials into consideration. The probability of collapse failure of soils behind steel arch structures in tunnels is assessed by using Chebyshev inequalities. First, the critical distance of a steel arch structure is derived based on the limit equilibrium method. Note that the distribution types of shear strength parameters are based on supposed ones is not necessarily true because the distribution types of parameters are uncertain. Chebyshev inequalities can estimate the failure probability in spite of the distribution types of variables being unknown. Then, the upper bound probability of collapse failure of geomaterials behind a steel arch structure in tunnels is estimated based on the Chebyshev inequalities. Finally, the accuracy and efficiency of the proposed method are validated by the bootstrap method combined with the Akaike information criterion. It can be concluded that the probabilistic assessment of collapse failure of tunnels by Chebyshev inequalities is quick and conservative.
Collapse Failure Assessment of Geomaterials behind Steel Structure in Tunnels Using the Chebyshev Inequalities
The distance of supporting steel structures in tunnels is determined by experience, and, to our best knowledge, there are few precise guidelines in the current design of underground construction. This paper aims to propose an optimum distance of a steel arch structure taking the uncertainties of geomaterials into consideration. The probability of collapse failure of soils behind steel arch structures in tunnels is assessed by using Chebyshev inequalities. First, the critical distance of a steel arch structure is derived based on the limit equilibrium method. Note that the distribution types of shear strength parameters are based on supposed ones is not necessarily true because the distribution types of parameters are uncertain. Chebyshev inequalities can estimate the failure probability in spite of the distribution types of variables being unknown. Then, the upper bound probability of collapse failure of geomaterials behind a steel arch structure in tunnels is estimated based on the Chebyshev inequalities. Finally, the accuracy and efficiency of the proposed method are validated by the bootstrap method combined with the Akaike information criterion. It can be concluded that the probabilistic assessment of collapse failure of tunnels by Chebyshev inequalities is quick and conservative.
Collapse Failure Assessment of Geomaterials behind Steel Structure in Tunnels Using the Chebyshev Inequalities
ASCE-ASME J. Risk Uncertainty Eng. Syst., Part A: Civ. Eng.
Huang, Xiao-Cheng (author) / Wang, Gui-Lin (author) / Chen, Qiu-Nan (author) / Zhang, Wei (author)
2024-09-01
Article (Journal)
Electronic Resource
English
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