Damage Assessment Method of Reinforcement Concrete Building By Fuzzy Theory

. As reinforcement concrete building is composition material which reinforcement bar and concrete work together, effect factors concerned with its damage are countlessly much and interrelationship between them is also very complex and indefiniteness. Until now many researches about the damage assessment of a building has been performed but the problem accounting correctly damage of the reinforcement concrete building by connecting several of damage factors has not yet been solved. In research a method accounting damage of reinforcement concrete building in the fuzzy integral way in consideration of fuzzy property existing in the damage assessment system of it has been newly suggested.


Introduction
In this thesis [1] [2], according to earlier research for the damage assessment of a reinforcement concrete building, the problem accounting in consideration of complicated damage factors concerned each other generally has not been showed. With only probability in an area in which judgement of people holds in the design of structure and structural part [3], probability in assessment of the strength of construction materials and the statistical analysis and assessment of the load making its fixed quantity is impossible [4]. In this thesis [5] damage assessment has been performed indicating on fuzzy graph the relation between many factors affect to the damage of the structure. Also in this thesis [6] using speech variable of fuzzy set theory in the reliability interpretation of structure research about damage cause of individual factor and assessment method has been performed. Next in this thesis [7] indeterminacy factor has been divided into objective factor and subjective factor, objective factor has been discussed through the probability [8], subjective factor has been suggested methods to deal with fuzzy set theory, each part of parts which borders aren't clear applying theory making fuzzy quantity and a method to classify it has been pointed out using fuzzy theory. In this thesis [6] [7], as a result of this in research a method to perform a damage assessment of a building according to it from the test result get probability statistically based in survey data of a skyscraper and considering several damage factors generally.
2 Measurement and processing for damage assessment of reinforcement concrete building Damage assessment system of a reinforcement concrete building can be divided into two parts of system that is "damage assessment of ground and foundation and damage assessment of superstructure" [9]. And subelement system of superstructure is dealt as consisting of reinforcement corrosion, concrete strength deterioration, concrete area loss, carbonation, concrete crack, structure transformation etc [10]. Subelement systems determined here could be seen as elements because they are in the lowest level of the mainsystem [11]. It is considered that "damage assessment system of ground and foundation" may be part system and also subelement [12].
As a result of this, system is composed from up to down and result is composed from down to up. "Damage assessment system of a reinforcement concrete building" composed like this has been shown on the following figure 1. Possibility density function of damage degree for settlement of ground and foundation is as follows.
Damage assessment system of superstructure of reinforcement concrete building PS2 Probability density function of damage degree about reinforcement corrosion of w-all is as follows.

Strength reduction of concrete
Relation of characteristic value 2 E y and damage degree 2 E k has been instituted as follows seeing this element as very important element.
Relation of check result 4 E x and characteristic value 4 E y is instituted in the below condition.
Concrete carbonization is regarded as dangerous damage when evidence of corrosion was beginning to appear in main reinforcement when average carbonization depth of concrete is same as or thicker than depth of average protective layer of main reinforcement and it is placed in wet environment or can be affected from aggressive medium [13] [14].
As a result of this, relation of check result and characteristic value can be described as ratio of carbonization depth of concrete and average protective layer of main reinforcement.
Probability density function of damage degree about concrete carbonization of interior wall is as follows.        The calculation method as like this is becomes fuzzy integral by fuzzy measure m .

-Ranking arrangement of damage degree
In order to assessment of superstructure damage of building, ranking arrangement of damage degree based on table. 1 are to be considered (Table 3- Table 3 Mark standard   mark  mean  9 One is the most important than other when compare two factor 8 One is very important than other when compare two factor 7 One is clearly important than other when compare two factor 6 One is rather important than other when compare two factor 5 Two factor has same important when compare two factor In the same way, weights follow to combined elements can be extracted. (2) When weight 3 M considering reinforcement corrosion, concrete carbonization and deformation of structure is extracted, it is as follows.

-Analysis result
Example of reinforcement concrete tall building is shown analysis assessment as below. General damage degree of analyzed reinforcement tall building is 2.3 percent, therefore as a whole it safe and good state. The damage degree by corrosion of reinforcement is the tallest than other one. The building is safe as a whole, but need local repair.

Conclusion
The research is solved problems as follows in suggesting the application method of system engineering and fuzzy theory. First, determine the attribute function for process the test result and suggest the member assessment method of damage assessment system by fuzzy probability theory. Finally suggest the assessment method of subsystem and mainsystem of damage assessment system and made progress general damage assessment of reinforcement concrete building.