The design theory of hydraulic construction mad a new steps due to the application of constructive reliability theory to it. However, there are some issue existed in the design of construction. Firstly, the basic data about load and resistance is lack. Secondly, the analysis methods of random variables are faint. Thirdly, the neglects of real model make the reliability calculation inaccurate. Based on the traditional methods of random variables probability density function and reliability calculation, the paper set up two models that based on the principle of maximum entropy. One is the model of random variables probability density; the other is the model of disabled probability of construction. It gets the roots by analyzing the model in theory and calculating it by Matlab. The conclusion is verified by the example of the NO.2 brake of yongji. The point in the paper about random variables probability density function based on entropy made its' definitions clear. It provides the elementary data for analysis of design theory of hydraulic construction. It does the elementary analysis for estimating the safety and the longevity of brake.
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