This paper presents a systematic approach for estimating material performance and designing the mix proportion of concrete based on an application of a Bayesian method in the form of satisfaction curves. The one-parameter satisfaction curve represents a satisfaction probability for a concrete performance criterion as a function of the concrete material parameters. An analysis method for combining multiple satisfaction curves to form one unique satisfaction curve that can reduce the performance of concrete to a single evaluating value, the goodness value, is proposed as an evaluation tool for the performance-based mixture design procedure. The proposed performancebased mixture design procedure is applied to test cases to obtain a target-oriented concrete mix proportion design and to verify the validity of the proposed method. Finally, the expected performance results of a concrete mix proportion designed using performance-based mixture design are compared with results calculated using the American Concrete Institute estimation equation to check whether the method is applicable to actual construction.
This paper presents a systematic approach for estimating material performance and designing mix proportion of concrete based on an application of Bayesian method in the form of satisfaction curves. The one-parameter satisfaction curve represents a satisfaction probability of a concrete performance criterion as a function of concrete material parameter. An analysis method to combine multiple satisfaction curves to form one unique satisfaction curve that can relate the performance of concrete to a single evaluating value called Goodness value is proposed. A proposed PBMD procedure and examples of application of the PBMD method for concrete mix proportion design are carried out to verify the validity of the proposed method. Finally, the comparison between the expected performance results of a concrete mix proportion designed using PBMD to the ACI estimation equation calculated results are performed to check the applicability of the method to actual construction.
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