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Fig. 10 b. Deformation of building in both directions for Trilinear Concrete Model
Fig. 10 c. Deformation of building in both directions for Chang –Mander Nonlinear Concrete Model
Fig. 10 d. Deformation of building in both directions for Kappos-Konstantinidis Nonlinear Concrete Model
The comparison of peak displacement amounts obtained for four different concrete models used is shown at Table 1.
The comparison of static pushover analysis curves for X direction for four different concrete models used in the study is given all Fig. 11.
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Table 1
Comparision of peak displacement for concrete models
Model |
|
Direction |
|
X (cm) |
|
Y (cm) |
|
|
|
||
|
|
|
|
Mander et al (1988) |
25.90 |
|
28,80 |
Ilki et al (2003) |
24.70 |
|
41.40 |
Chang and Mander (1994) |
4.10 |
|
45.60 |
|
|
|
|
Kappos and Konstantinidis (1999) |
7.60 |
|
43.80 |
Fig. 11. Comparision of pushover curves for X direction
The comparison of static pushover analysis curves for Y direction for four different concrete models used in the study is given at Fig. 12.
Fig. 12. Comparision of pushover curves for X direction
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Conclusions
A civil engineer should reach an economic resolution under adequate safety while designing a structure. For this, three principal elements; material, dimensions and load are needed. A civil engineer takes the numerical values for the materials to be used in structures from stress-strain relationship while designing. As these features of materials are based up several factors, stress-strain relationship is idealized, establishing mathematical models. There has been a number of models regarding concrete materials which is the weakest link of concrete structures. The analysis is simplified by these models and the margin of error is reduced as possible.
By this study, information on concrete material constituting concrete structures and the models regarding them is given and these models’ usability on structure design and the differences between them are aimed to be revealed.
In this study, a static pushover analysis for four different concrete models is conducted in a structure selected for this selection. For each model, the peak strain in X and Y axes are calculated. Furthermore, for each model, static pushover values of X and Y axes are measured and comparisons are made.
The peak strain values calculated in X axis are very close to each other in Mander et al. (1988) and İlki et al. (2003) models, while very different from the other two models. The calculations of those two models are close to each other as well. In the Y axis; the peak strain values in Ilki et al, Chang and Mander (1994) and Kappos-Konstantinidis (1999) models are very close to each other. In the Y axis, the value measured in Mander (1988) model is smaller than others.
The static pushover analysis results made for different concrete models and in different axes are found to be compatible with each other. The results of the concrete models used are not different from each other significantly. It has been found out that all of these four models can be used as a concrete model in structure design.
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