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A Study on Estimating Shear Strength of Continuum Rock Slope (연속체 암반비탈면의 강도정수 산정 연구)

  • Kim, Hyung-Min;Lee, Su-gon;Lee, Byok-Kyu;Woo, Jae-Gyung;Hur, Ik;Lee, Jun-Ki
    • Journal of the Korean Geotechnical Society
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    • v.35 no.5
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    • pp.5-19
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    • 2019
  • Considering the natural phenomenon in which steep slopes ($65^{\circ}{\sim}85^{\circ}$) consisting of rock mass remain stable for decades, slopes steeper than 1:0.5 (the standard of slope angle for blast rock) may be applied in geotechnical conditions which are similar to those above at the design and initial construction stages. In the process of analysing the stability of a good to fair continuum rock slope that can be designed as a steep slope, a general method of estimating rock mass strength properties from design practice perspective was required. Practical and genealized engineering methods of determining the properties of a rock mass are important for a good continuum rock slope that can be designed as a steep slope. The Genealized Hoek-Brown (H-B) failure criterion and GSI (Geological Strength Index), which were revised and supplemented by Hoek et al. (2002), were assessed as rock mass characterization systems fully taking into account the effects of discontinuities, and were widely utilized as a method for calculating equivalent Mohr-Coulomb shear strength (balancing the areas) according to stress changes. The concept of calculating equivalent M-C shear strength according to the change of confining stress range was proposed, and on a slope, the equivalent shear strength changes sensitively with changes in the maximum confining stress (${{\sigma}^{\prime}}_{3max}$ or normal stress), making it difficult to use it in practical design. In this study, the method of estimating the strength properties (an iso-angle division method) that can be applied universally within the maximum confining stress range for a good to fair continuum rock mass slope is proposed by applying the H-B failure criterion. In order to assess the validity and applicability of the proposed method of estimating the shear strength (A), the rock slope, which is a study object, was selected as the type of rock (igneous, metamorphic, sedimentary) on the steep slope near the existing working design site. It is compared and analyzed with the equivalent M-C shear strength (balancing the areas) proposed by Hoek. The equivalent M-C shear strength of the balancing the areas method and iso-angle division method was estimated using the RocLab program (geotechnical properties calculation software based on the H-B failure criterion (2002)) by using the basic data of the laboratory rock triaxial compression test at the existing working design site and the face mapping of discontinuities on the rock slope of study area. The calculated equivalent M-C shear strength of the balancing the areas method was interlinked to show very large or small cohesion and internal friction angles (generally, greater than $45^{\circ}$). The equivalent M-C shear strength of the iso-angle division is in-between the equivalent M-C shear properties of the balancing the areas, and the internal friction angles show a range of $30^{\circ}$ to $42^{\circ}$. We compared and analyzed the shear strength (A) of the iso-angle division method at the study area with the shear strength (B) of the existing working design site with similar or the same grade RMR each other. The application of the proposed iso-angle division method was indirectly evaluated through the results of the stability analysis (limit equilibrium analysis and finite element analysis) applied with these the strength properties. The difference between A and B of the shear strength is about 10%. LEM results (in wet condition) showed that Fs (A) = 14.08~58.22 (average 32.9) and Fs (B) = 18.39~60.04 (average 32.2), which were similar in accordance with the same rock types. As a result of FEM, displacement (A) = 0.13~0.65 mm (average 0.27 mm) and displacement (B) = 0.14~1.07 mm (average 0.37 mm). Using the GSI and Hoek-Brown failure criterion, the significant result could be identified in the application evaluation. Therefore, the strength properties of rock mass estimated by the iso-angle division method could be applied with practical shear strength.

The Modern Understanding and Misunderstanding about the Thirteen-story Stone Pagoda of Wongaksa Temple (원각사(圓覺寺)13층탑(層塔)에 대한 근대적 인식과 오해)

  • Nam, Dongsin
    • MISULJARYO - National Museum of Korea Art Journal
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    • v.100
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    • pp.50-80
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    • 2021
  • This paper critically examines the history of the theories connected to the Wongaksa Temple Pagoda that have developed over the last 100 years focusing on the original number of stories the pagoda would have reached. Part II of this paper retraces the dynamic process of the rediscovery of the Wongaksa Temple Pagoda by Westerners who traveled to Korea during the port-opening period. Koreans at the time viewed the Wongaksa Temple Pagoda as an object of no particular appeal or even as an eyesore. However, Westerners appreciated it as a wonder or magnificent sight. Since these Westerners had almost no prior knowledge of Buddhist pagodas, they were able to write objective travelogues. At the time, these visitors generally accepted the theory common among Joseon intellectuals that Wongaksa Temple Pagoda once had thirteen stories. Part III focuses on Japanese government-affiliated scholars' academic research on the Wongaksa Temple Pagoda after the proclamation of the Korean Empire and the Japanese Government-General of Korea's subsequent management of the pagoda as a cultural property during the colonial era. It also discusses issues with Japanese academic research and management. In particular, this portion sheds light on the shift in theories about the original number of stories of the Wongaksa Temple Pagoda from the ten-story theory supported by Sekino Tadashi (關野 貞), whose ideas have held a great influence on this issue over the last 100 years, to the thirteen-story theory and then to the idea that it had more than thirteen. Finally, Part IV addresses the change from the multi-story theory to the ten-story theory in the years after Korea's liberation from Japan until 1962. Moreover, it highlights how Korean intellectuals of the Japanese colonial era predominantly accepted the thirteen-story theory. Since 1962, a considerable quantity of significant research on the Wongaksa Temple Pagoda has been published. However, since most of these studies have applied the ten-story theory suggested in 1962, they are not individually discussed in this paper. This retracing of the history of theories about the Wongaksa Temple Pagoda has verified that although there are reasonable grounds for supporting the thirteen-story theory, it has not been proved in the last 100 years. Moreover, the number of pagoda stories has not been fully discussed in academia. The common theory that both Wongaksa Temple Pagoda and Gyeongcheonsa Temple Pagoda were ten-story pagodas was first formulated by Sekino Tadashi 100 years ago. Since the abrasion of the Wongaksa Temple Stele was so severe the inscriptions on the stele were almost illegible, Sekino argued that the Wongaksa Temple Pagoda was a ten-story pagoda based on an architectural analysis of the then-current condition of the pagoda. Immediately after Sekino presented his argument, a woodblock-printed version of the inscriptions on the Wongaksa Temple Stele was found. This version included a phrase that a thirteen-story pagoda had been erected. In a similar vein, the Dongguk yeoji seungnam (Geographic Encyclopedia of Korea) published by the orders of King Seongjong in the late fifteenth century documented that Gyeongcheonsa Temple Pagoda, the model for the Wongaksa Temple Pagoda, was also a thirteen-story pagoda. The Wongaksa Temple Stele erected on the orders of King Sejo after the establishment of the Wongaksa Temple Pagoda evidently shows that Sekino's ten-story premise is flawed. Sekino himself wrote that "as [the pagoda] consists of a three-story stereobate and a ten-story body, people call it a thirteen-story pagoda," although he viewed the number of stories of the pagoda body as that of the entire pagoda. The inscriptions on the Wongaksa Temple Stele also clearly indicate that the king ordered the construction of the Wongaksa Temple Pagoda as a thirteen-story pagoda. Although unprecedented, this thirteen-story pagoda comprised a ten-story pagoda body over a three-story stereobate. Why would King Sejo have built a thirteen-story pagoda in an unusual form consisting of a ten-story body on top of a three-story stereobate? In order to fully understand King Sejo's intention in building a thirteen-story pagoda, analyzing the Wongaksa Temple Pagoda is necessary. This begins with the restoration of its original name. I disprove Sekino's ten-story theory built upon flawed premises and an eclectic over-thirteen-story theory and urge applying the thirteen-story theory, as the inscriptions on the Wongaksa Temple Stele stated that the pagoda was originally built as a thirteen-story pagoda.

Studies on the Kiln Drying Characteristics of Several Commercial Woods of Korea (국산 유용 수종재의 인공건조 특성에 관한 연구)

  • Chung, Byung-Jae
    • Journal of the Korean Wood Science and Technology
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    • v.2 no.2
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    • pp.8-12
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    • 1974
  • 1. If one unity is given to the prongs whose ends touch each other for estimating the internal stresses occuring in it, the internal stresses which are developed in the open prongs can be evaluated by the ratio to the unity. In accordance with the above statement, an equation was derived as follows. For employing this equation, the prongs should be made as shown in Fig. I, and be measured A and B' as indicated in Fig. l. A more precise value will result as the angle (J becomes smaller. $CH=\frac{(A-B') (4W+A) (4W-A)}{2A[(2W+(A-B')][2W-(A-B')]}{\times}100%$ where A is thickness of the prong, B' is the distance between the two prongs shown in Fig. 1 and CH is the value of internal stress expressed by percentage. It precision is not required, the equation can be simplified as follows. $CH=\frac{A-B'}{A}{\times}200%$ 2. Under scheduled drying condition III the kiln, when the weight of a sample board is constant, the moisture content of the shell of a sample board in the case of a normal casehardening is lower than that of the equilibrium moisture content which is indicated by the Forest Products Laboratory, U. S. Department of Agriculture. This result is usually true, especially in a thin sample board. A thick unseasoned or reverse casehardened sample does not follow in the above statement. 3. The results in the comparison of drying rate with five different kinds of wood given in Table 1 show that the these drying rates, i.e., the quantity of water evaporated from the surface area of I centimeter square per hour, are graded by the order of their magnitude as follows. (1) Ginkgo biloba Linne (2) Diospyros Kaki Thumberg. (3) Pinus densiflora Sieb. et Zucc. (4) Larix kaempheri Sargent (5) Castanea crenata Sieb. et Zucc. It is shown, for example, that at the moisture content of 20 percent the highest value revealed by the Ginkgo biloba is in the order of 3.8 times as great as that for Castanea crenata Sieb. & Zucc. which has the lowest value. Especially below the moisture content of 26 percent, the drying rate, i.e., the function of moisture content in percentage, is represented by the linear equation. All of these linear equations are highly significant in testing the confficient of X i. e., moisture content in percentage. In the Table 2, the symbols are expressed as follows; Y is the quantity of water evaporated from the surface area of 1 centimeter square per hour, and X is the moisture content of the percentage. The drying rate is plotted against the moisture content of the percentage as in Fig. 2. 4. One hundred times the ratio(P%) of the number of samples occuring in the CH 4 class (from 76 to 100% of CH ratio) within the total number of saplmes tested to those of the total which underlie the given SR ratio is measured in Table 3. (The 9% indicated above is assumed as the danger probability in percentage). In summarizing above results, the conclusion is in Table 4. NOTE: In Table 4, the column numbers such as 1. 2 and 3 imply as follows, respectively. 1) The minimum SR ratio which does not reveal the CH 4, class is indicated as in the column 1. 2) The extent of SR ratio which is confined in the safety allowance of 30 percent is shown in the column 2. 3) The lowest limitation of SR ratio which gives the most danger probability of 100 percent is shown in column 3. In analyzing above results, it is clear that chestnut and larch easly form internal stress in comparison with persimmon and pine. However, in considering the fact that the revers, casehardening occured in fir and ginkgo, under the same drying condition with the others, it is deduced that fir and ginkgo form normal casehardening with difficulty in comparison with the other species tested. 5. All kinds of drying defects except casehardening are developed when the internal stresses are in excess of the ultimate strength of material in the case of long-lime loading. Under the drying condition at temperature of $170^{\circ}F$ and the lower humidity. the drying defects are not so severe. However, under the same conditions at $200^{\circ}F$, the lower humidity and not end coated, all sample boards develop severe drying defects. Especially the chestnut was very prone to form the drying defects such as casehardening and splitting.

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