International Conference on Applications of Statistics and Probability in Civil Engineering (ICASP) (12th : 2015)

Model uncertainty for the capacity of strip footings under negative and general combined loading Phoon, K. K.; Tang, Chong

Abstract

This paper investigates the model uncertainty of Eurocode 7 approach for estimating the bearing capacity of shallow foundations under negative and general combined loading. In the first stage, a regression equation ƒ is derived to remove the dependency of the model factor Ms on the input parameters, where Ms is defined as the ratio between the lower bound solution and the calculated capacity from Eurocode 7 approach. The probability distribution of the residual part ƞ of Ms is then determined. Secondly, the model uncertainty of the lower bound limit analysis is characterized by using a loading database. The result is represented as the probability distribution of the model factor MLB, which is defined as the ratio between the measured capacity and the lower bound solution. Finally, the model uncertainty of the modified model factor M′ defined as the ratio between the measured capacity and the capacity from Eurocode 7 approach multiplied by the regression equation ƒ is characterized by combining the results for ƞ and MLB. The results are validated by using another independent loading database.

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