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  Abstract: For theoretical and practical investigation of damage increase on dynamic characteristics of concrete structures can use analytical model to extract dynamic characteristics such as natural frequency and mode shape. In this research, results of experimental and finite element analytical model for various specimens were compared. These specimens include RC beams and pre-stress concrete beams that constructed in laboratory. In this paper, one of the specimens was modeled for showing how modeling cracked concrete beams and specials notes related to nonlinear static analysis and modal analysis. In test case, damages are produced step-by-step applying the static load and modal characteristics of the specimen are measured via modal test immediately after loading step. However, in finite element modeling case is two complicated problems. Firstly, because concrete is a composite material, modeling of cracked concrete is very difficult. Secondly, in RC structures, both the concrete and steel have nonlinear behavior. Results of this research include peculiar notes that can be useful for other similar researches.      

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Sometimes, determining the amount of damage and the time and place of its assessment in out-of-contract responsibilities is very difficult. Maybe the person who has incurred a loss does not claim damages or may not be able to do so immediately after the damage. Therefore, there might be a period from the presentation of the petition and compensation payment. Meanwhile, the value of money and the compensation payment might increase or decrease. Sometimes, the place of damage is different from that of petition and compensation payment, or the property is moved, which has different prices in different places; so, it is necessary to determine criteria for assessing the time and place of the damage. The present research is a library study, and the method employed is descriptive, analytical, and comparative. We first mention compensation payment and its practices, then according to the judicial procedure to determine the damage, the time and place of damage assessment in compulsory security and out-of-contract responsibilities have been examined comparatively in Iran and Egypt law are compared. Finally, it is concluded that in Iranian law, there is a difference between fungible and curator. In assessing the fungible in case of apology or loss, it is the price on the day of sentence execution and it is the last price. In curator properties, the day of sentence execution is determined. The assessment place is also determined based on the criteria of time, payment place, and sentence execution. Egyptian law does not differentiate between fungible and curator, and rather sets the day of sentence as the time criteria; place is not explicitly referred to either. The legal criteria of Iran are better as they are in line with the goals of civil liability.