• Title/Summary/Keyword: superposition principle

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A Study on Secondary Lining Design of Tunnels Using Ground-Lining Interaction Model (지반-라이닝 상호작용 모델을 이용한 터널 2차라이닝 설계에 관한 연구)

  • Chang, Seok-Bue;Huh, Do-Hak;Moon, Hyun-Koo
    • Journal of Korean Tunnelling and Underground Space Association
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    • v.8 no.4
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    • pp.365-375
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    • 2006
  • The structural analysis for the secondary lining of tunnels is generally performed by a frame analysis model. This model requires a ground loosening load estimated by some empirical methods, but the load is likely to be subjective and too large. The ground load acting on the secondary lining is due to the loss of the supporting function of the first support members such as shotcrete and rockbolts. Therefore, the equilibrium condition of the ground and the first support members should be considered to estimate the ground load acting on the secondary lining. Ground-lining interaction model, shortly GLI model, is developed on the basis of the concept that the secondary lining supports the ground deformation triggered by the loss of the support capacity of the first support members. Accordingly, the GLI model can take into account the ground load reflecting effectively not only the complex ground conditions but the installed conditions of the first support members. The load acting on the secondary lining besides the ground load includes the groundwater pressure and earthquake load. For the structural reinforcement of the secondary lining based on the ultimate strength design method, the factored load and various load combination should be considered. Since the GLI model has difficulty in dealing with the factored load, introduced in this study is the superposition principle in which the section moment and force of the secondary lining estimated for individual loads are multiplied by the load factors. Finally, the design method of the secondary lining using the GLI model is applied to the case of a shallow subway tunnel.

An Exploration of Discrepancies between Text and Content Knowledge of Pre-service Elementary Teachers through an Analysis of Questions and Answers Created in the Interactive Reading of a Teacher's Guide: Focusing on a 'Shadow and Mirror' Unit (상호작용적 독해 과정에서 생성된 질문과 답변의 분석을 통한 교사용 지도서와 초등예비교사의 내용지식 사이의 불일치 탐색 -'그림자와 거울' 단원을 중심으로)

  • Arla Go;Jiwon Lee
    • Journal of The Korean Association For Science Education
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    • v.43 no.3
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    • pp.253-263
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    • 2023
  • This study explored the discrepancy between the text of a teacher's guide about straight and reflective light and the content knowledge of pre-service elementary teachers. A total of 455 questions and 543 answers generated by 279 pre-service elementary teachers after reading a 'Shadow and Mirror' unit in the teacher's guide were analyzed. The questions were classified according to the types of concepts and discrepancies, and the answers were analyzed for accuracy. The results of analyzing the concepts of questions revealed that the pre-service elementary teachers were most curious about the shadow in the straight concept, the mirror image in the reflection concept, and the light source in other concepts. The questions with a low correct answer rate due to incorrect- or non-answers, such as those concerning the superposition principle of light by reflection, the principle of experimental tools, and images by lenses, were only partially or not included in the teacher's guide. When the questions were classified according to the type of discrepancy, the frequency of questions due to knowledge deficit was higher than that due to knowledge clash. This demonstrates that the concepts that teachers need to know must be supplemented with the contents of the teacher's guide. Discrepancies due to knowledge clashes are often caused by conflicts between what is experienced in everyday life and what is presented in textbooks. Therefore, it is necessary to reduce the discrepancy between the texts of the teacher's guide and the knowledge of pre-service elementary teachers by including the differences between the actual context of everyday life and the context of the textbook in the teacher's guide.