• 제목/요약/키워드: Phi-c reduction method

검색결과 10건 처리시간 0.024초

연성을 고려한 철근콘크리트 기둥의 강도감소계수 적용에 관한 연구 (An Application of Strength Reduction Factors to Reinforced Concrete Columns considering Ductility)

  • 손혁수;이재훈
    • 콘크리트학회논문집
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    • 제11권4호
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    • pp.147-156
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    • 1999
  • Current design code states that the strength reduction factor shall be permitted to be increased linearly from that for axial compression to that for flexure as the design axial load strength $\Phi$cPn decrease from 0.1fckAg to zero. Since this empirically adopted axial load level of $\Phi$cPn=0.1fckAg considers only sectional area and concrete strength, the other variables such as steel ratio, steel yielding strength, and steel arrangement can not be considered. This research is performed to investigate the consistency and the rationality of the code requirement for determination of column design strength. A nonlinear axial force-moment-curvature analysis was conducted in order to investigate the ductility of reinforced concrete column sections. As the result of ductility analysis, it was found that the ductility at the axial force of $\Phi$cPn=0.1fckAg represented a lock of consistency for the various variable contained sections. Therefore, a more reasonable application method of strength reduction factor is proposed, that is based on the strain ductility index.

c-$\phi$ 지반에서의 아칭현상을 고려한 원형수직터널 토압 : II. 실내 모형실험 (Earth pressures acting on vertical circular shafts considering arching effects in c-$\phi$ soils : II. Lab. Model Tests)

  • 김도훈;차민혁;이대수;김경렬;이인모
    • 한국터널지하공간학회 논문집
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    • 제12권2호
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    • pp.129-144
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    • 2010
  • 원형수직터널에 작용하는 토압은 아칭효과로 인해 2차원 일반 흙막이벽에 작용하는 토압보다 작으므로 원형수직터널 설계 시 벽체에 작용하는 실질적인 토압의 예측이 필요하다. 본 논문은 두 개의 연속된 논문(Companion papers)의 두번째로서 원형수직터널 설계 시 건조한 사질토뿐만 아니라 c-$\phi$ 지반과 다층지반에서 적용 가능하도록 새롭게 제안된 토압식(김도훈 등, 2009)을 증명하기 위해 대형 모형실험을 수행하였다. 고안된 모형실험 장비는 단계별 굴착이 가능하도록 제작 벽체의 반경을 변화시켜가며 실험을 수행하였다. 또한 강사 방법으로 지반을 조성하기 전 건조한 시료에 물을 첨가하고 불포화사질토를 형성시켜 겉보기 점착력을 발현시킴으로써 c-$\phi$ 지반과 다층지반에서 실험을 진행하였다. 실험 결과로서, 단계별 굴착을 모사하였을 때, 아칭효과에 의해 굴착된 지반에서 굴착되지 않은 지반으로 하중이 전이가 일어나는 확인할 수 있었다. 또한, 동시에 굴착했을 때의 토압은 예측한 값에 비해 상당히 작게 나타났지만, 단계별로 굴착했을 때의 최종 토압은 동시 굴착 시의 토압에 비해 크게 나타나며 새롭게 제안된 토압식과 잘 일치하였고 c-$\phi$ 지반과 다층지반에서 수행한 실험의 결과도 겉보기 점착력의 효과로 인해 토압의 감소를 보이며 이론적인 값과 잘 일치하는 것으로 나타났다.

석회석 광산에서 폐석 적치장 사면의 안정성 평가 (Stability Assesment of the Slope at the Disposal Site of Waste Rock in Limestone Mine)

  • 이상은;장윤호
    • 터널과지하공간
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    • 제20권6호
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    • pp.475-490
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    • 2010
  • L 석회석 광산에서 폐석 덤핑 투하 지점이 놓인 위치에 따라 폐석층 또는 암반층에 따라 구분하고 총11개의 폐석 적치장중 7개소를 대상으로 사면안정해석을 수행하였다. 폐석층에 대해서는 Bishop 법을 이용한 원호파괴 해석과 유한요소법을 적용하였으며, 암반층은 평사투영법에 의해 잠재적인 파괴 가능성을 분석하고 한계평형법 해석에 의해 안전율을 산정하였다. 또한 암반사면의 전체적인 거동을 파악하기 위해 유한요소법을 적용하였다. 이 때 유한요소법으로 사면의 안정성을 안전율로 표시하기 위하여 강도감소법을 이용하였다. 안정 해석결과 폐석층 사면은 D 지역에서, 그리고 암반층의 경우 F와 G 지역에서 사면의 안정성 확보가 곤란한 것으로 평가되었으며, 아울러 폐석 적치장의 해석결과를 토대로 안정성을 확보하기 위한 방안을 제시하였다. 즉, D 지역의 사면은 파괴 활동면을 벗어난 지역에서 덤핑 후 도져에 의해 Push하는 방안이 필요하며, F와 G지역은 단층대 발달이 없는 지역으로 덤핑-투하 지점을 이동하여 적치하는 방안을 추천하였다.

지하수 관개에 의한 수도의 멸준양상과 그 방지책에 관한 연구 (Studies on the Rice Yield Decreased by Ground Water Irrigation and Its Preventive Methods)

  • 한욱동
    • 한국농공학회지
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    • 제16권1호
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    • pp.3225-3262
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    • 1974
  • The purposes of this thesis are to clarify experimentally the variation of ground water temperature in tube wells during the irrigation period of paddy rice, and the effect of ground water irrigation on the growth, grain yield and yield components of the rice plant, and, furthermore, when and why the plant is most liable to be damaged by ground water, and also to find out the effective ground water irrigation methods. The results obtained in this experiment are as follows; 1. The temperature of ground water in tube wells varies according to the location, year, and the depth of the well. The average temperatures of ground water in a tubewells, 6.3m, 8.0m deep are $14.5^{\circ}C$ and $13.1^{\circ}C$, respercively, during the irrigation period of paddy rice (From the middle of June to the end of September). In the former the temperature rises continuously from $12.3^{\circ}C$ to 16.4$^{\circ}C$ and in the latter from $12.4^{\circ}C$ to $13.8^{\circ}C$ during the same period. These temperatures are approximately the same value as the estimated temperatures. The temperature difference between the ground water and the surface water is approximately $11^{\circ}C$. 2. The results obtained from the analysis of the water quality of the "Seoho" reservoir and that of water from the tube well show that the pH values of the ground water and the surface water are 6.35 and 6.00, respectively, and inorganic components such as N, PO4, Na, Cl, SiO2 and Ca are contained more in the ground water than in the surface water while K, SO4, Fe and Mg are contained less in the ground water. 3. The response of growth, yield and yield components of paddy rice to ground water irrigation are as follows; (l) Using ground water irrigation during the watered rice nursery period(seeding date: 30 April, 1970), the chracteristics of a young rice plant, such as plant height, number of leaves, and number of tillers are inferior to those of young rice plants irrigated with surface water during the same period. (2) In cases where ground water and surface water are supplied separately by the gravity flow method, it is found that ground water irrigation to the rice plant delays the stage at which there is a maximum increase in the number of tillers by 6 days. (3) At the tillering stage of rice plant just after transplanting, the effect of ground water irrigation on the increase in the number of tillers is better, compared with the method of supplying surface water throughout the whole irrigation period. Conversely, the number of tillers is decreased by ground water irrigation at the reproductive stage. Plant height is extremely restrained by ground water irrigation. (4) Heading date is clearly delayed by the ground water irrigation when it is practised during the growth stages or at the reproductive stage only. (5) The heading date of rice plants is slightly delayed by irrigation with the gravity flow method as compared with the standing water method. (6) The response of yield and of yield components of rice to ground water irrigation are as follows: \circled1 When ground water irrigation is practised during the growth stages and the reproductive stage, the culm length of the rice plant is reduced by 11 percent and 8 percent, respectively, when compared with the surface water irrigation used throughout all the growth stages. \circled2 Panicle length is found to be the longest on the test plot in which ground water irrigation is practised at the tillering stage. A similar tendency as that seen in the culm length is observed on other test plots. \circled3 The number of panicles is found to be the least on the plot in which ground water irrigation is practised by the gravity flow method throughout all the growth stages of the rice plant. No significant difference is found between the other plots. \circled4 The number of spikelets per panicle at the various stages of rice growth at which_ surface or ground water is supplied by gravity flow method are as follows; surface water at all growth stages‥‥‥‥‥ 98.5. Ground water at all growth stages‥‥‥‥‥‥62.2 Ground water at the tillering stage‥‥‥‥‥ 82.6. Ground water at the reproductive stage ‥‥‥‥‥ 74.1. \circled5 Ripening percentage is about 70 percent on the test plot in which ground water irrigation is practised during all the growth stages and at the tillering stage only. However, when ground water irrigation is practised, at the reproductive stage, the ripening percentage is reduced to 50 percent. This means that 20 percent reduction in the ripening percentage by using ground water irrigation at the reproductive stage. \circled6 The weight of 1,000 kernels is found to show a similar tendency as in the case of ripening percentage i. e. the ground water irrigation during all the growth stages and at the reproductive stage results in a decreased weight of the 1,000 kernels. \circled7 The yield of brown rice from the various treatments are as follows; Gravity flow; Surface water at all growth stages‥‥‥‥‥‥514kg/10a. Ground water at all growth stages‥‥‥‥‥‥428kg/10a. Ground water at the reproductive stage‥‥‥‥‥‥430kg/10a. Standing water; Surface water at all growh stages‥‥‥‥‥‥556kg/10a. Ground water at all growth stages‥‥‥‥‥‥441kg/10a. Ground water at the reproductive stage‥‥‥‥‥‥450kg/10a. The above figures show that ground water irrigation by the gravity flow and by the standing water method during all the growth stages resulted in an 18 percent and a 21 percent decrease in the yield of brown rice, respectively, when compared with surface water irrigation. Also ground water irrigation by gravity flow and by standing water resulted in respective decreases in yield of 16 percent and 19 percent, compared with the surface irrigation method. 4. Results obtained from the experiments on the improvement of ground water irrigation efficiency to paddy rice are as follows; (1) When the standing water irrigation with surface water is practised, the daily average water temperature in a paddy field is 25.2$^{\circ}C$, but, when the gravity flow method is practised with the same irrigation water, the daily average water temperature is 24.5$^{\circ}C$. This means that the former is 0.7$^{\circ}C$ higher than the latter. On the other hand, when ground water is used, the daily water temperatures in a paddy field are respectively 21.$0^{\circ}C$ and 19.3$^{\circ}C$ by practising standing water and the gravity flow method. It can be seen that the former is approximately 1.$0^{\circ}C$ higher than the latter. (2) When the non-water-logged cultivation is practised, the yield of brown rice is 516.3kg/10a, while the yield of brown rice from ground water irrigation plot throughout the whole irrigation period and surface water irrigation plot are 446.3kg/10a and 556.4kg/10a, respectivelely. This means that there is no significant difference in yields between surface water irrigation practice and non-water-logged cultivation, and also means that non-water-logged cultivation results in a 12.6 percent increase in yield compared with the yield from the ground water irrigation plot. (3) The black and white coloring on the inside surface of the water warming ponds has no substantial effect on the temperature of the water. The average daily water temperatures of the various water warming ponds, having different depths, are expressed as Y=aX+b, while the daily average water temperatures at various depths in a water warming pond are expressed as Y=a(b)x (where Y: the daily average water temperature, a,b: constants depending on the type of water warming pond, X; water depth). As the depth of water warning pond is increased, the diurnal difference of the highest and the lowest water temperature is decreased, and also, the time at which the highest water temperature occurs, is delayed. (4) The degree of warming by using a polyethylene tube, 100m in length and 10cm in diameter, is 4~9$^{\circ}C$. Heat exchange rate of a polyethylene tube is 1.5 times higher than that or a water warming channel. The following equation expresses the water warming mechanism of a polyethylene tube where distance from the tube inlet, time in day and several climatic factors are given: {{{{ theta omega (dwt)= { a}_{0 } (1-e- { x} over { PHI v })+ { 2} atop { SUM from { { n}=1} { { a}_{n } } over { SQRT { 1+ {( n omega PHI) }^{2 } } } } LEFT { sin(n omega t+ { b}_{n }+ { tan}^{-1 }n omega PHI )-e- { x} over { PHI v }sin(n omega LEFT ( t- { x} over {v } RIGHT ) + { b}_{n }+ { tan}^{-1 }n omega PHI ) RIGHT } +e- { x} over { PHI v } theta i}}}}{{{{ { theta }_{$\infty$ }(t)= { { alpha theta }_{a }+ { theta }_{ w'} +(S- { B}_{s } ) { U}_{w } } over { beta } , PHI = { { cpDU}_{ omega } } over {4 beta } }}}} where $\theta$$\omega$; discharged water temperature($^{\circ}C$) $\theta$a; air temperature ($^{\circ}C$) $\theta$$\omega$';ponded water temperature($^{\circ}C$) s ; net solar radiation(ly/min) t ; time(tadian) x; tube length(cm) D; diameter(cm) ao,an,bn;constants determined from $\theta$$\omega$(t) varitation. cp; heat capacity of water(cal/$^{\circ}C$ ㎥) U,Ua; overall heat transfer coefficient(cal/$^{\circ}C$ $\textrm{cm}^2$ min-1) $\omega$;1 velocity of water in a polyethylene tube(cm/min) Bs ; heat exchange rate between water and soil(ly/min)

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필라멘트 와인딩 공법에 의한 소형 선박용 복합재료 축 설계를 위한 응력해석에 관한 연구 (A Study on Stress Analysis for Design of Composites Shaft on Small Ship by Filament Winding Process)

  • 배창원;임철문;왕지석;김윤해
    • Journal of Advanced Marine Engineering and Technology
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    • 제25권3호
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    • pp.617-622
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    • 2001
  • The purpose of this study is to design and the analyze the stress of composited shaft which is wound by filament winding method. The composites shaft has high strength and reduction in weight compared to metal shaft. The classical laminate plate theory(CLT) was used fro analysis the stress, and for structure design. In order to replace metal shaft by composites shaft, the diameter of shaft was determined to $\phi$ 40. The ration of diameter was determined to 0.4 for torsional moment with CLT. In this result of analyzing the stress, composites shaft was safe $30^{\circ}~60^{\circ}$C of winding angle, and was fractured on $90^{\circ}$.

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Design load-carrying capacity estimates and an improved wooden shore setup

  • Huang, Y.L.;Lin, Y.C.;Lee, C.F.;Chen, H.J.;Yen, T.
    • Structural Engineering and Mechanics
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    • 제17권2호
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    • pp.167-186
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    • 2004
  • The design load-carrying capacities of wooden shores depend on factors, such as the wood species and properties, and construction methods. This paper focuses on the construction methods, including an upright single shore, group of upright shores, group of inclined shores, butt connections and lap connections. This paper reports experiments to obtain critical loads and then developed an empirical equation based on Euler' formula for the critical loads and design load-carrying capacities. The test results show that the critical loads for an upright single wooden shore are greater than the average values for a group of upright shores, and the latter are greater than the average values for a group of inclined shores. Test results also show that the critical loads become smaller when butt or lap connections are used, butt connections possessing greater critical loads than lap connections. Groups of inclined shores are very popular at work sites because they have some practical advantages even though they actually possess inferior critical loads. This paper presents an improved setup for constructing groups of inclined shores. With this method, the inclined shores have larger critical loads than upright shores. The design load-carrying capacities were obtained by multiplying the average critical loads by a resistance factor (or strength reduction factor, ${\phi}$) that were all smaller than 1. This article preliminarily suggests ${\phi}$ factors based on the test results for the reference of engineers or specification committees.

Cr-Mo계 금형강의 기계적 성질과 MnS 형상 변화에 미치는 Zr첨가의 영향 (Effect of Zr Addition on the Mechanical Properties and MnS Morphology of Cr-Mo Plastic Mold Steel)

  • 김남규;전호성;이오연
    • 열처리공학회지
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    • 제23권4호
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    • pp.191-197
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    • 2010
  • Zr addition is known as effective method to improve the anisotropy of steel due to the elongated MnS inclusions which are observed in hot forged steels. The aim of this research is to investigate the effect of Zr addition on the mechanical properties and manganese sulphide morphology of 0.27%C-Cr-Mo plastic mold steel. The ingots were prepared by vacuum induction melting and forged to ${\Phi}35mm$ round bar. Forged bars were quenched and tempered at $560{\sim}640^{\circ}C$ for 1 hour. Jominy test, microstructual observation, tensile test and Charpy impact test were conducted. The morphology of MnS inclusions was changed by Zr addition. The shape of MnS inclusions was not so much lengthened and controlled not to be elongated by Zr inclusions which surround the MnS inclusions. Tensile strength and yield strength of the tempered steels were not nearly affected by the addition of Zr, but elongation and reduction of area were decreased. Especially, the toughness of Zr added steels was deteriorated with increasing of Zr content. From the results of this study, it is assumed that anisotropy of steels was improved by the addition of Zr. However, impact toughness of the steel was significantly decreased by the excessive Zr addition (over 0.066%).

지진모의실험을 위한 10층 R.C. 공동주택의 1:5 축소모델 설계 및 시공 (Design and Construction of a 1:5 Scale 10-Story R.C. Apartment Building Model for Earthquake Simulation Tests)

  • 황성준;이경보;강창범;이한선;이상호;오상훈
    • 한국지진공학회논문집
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    • 제15권6호
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    • pp.55-66
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    • 2011
  • 본 연구의 목적은 지진모의실험을 위한 1:5 축소 10층 R.C. 공동주택 모델의 제작과정을 통하여, 실험체의 효율적인 설계 및 제작 과정을 개발하는 것이다. 실험체의 축소율은 가용한 진동대의 크기($5m{\times}5m$)와 최대 허용무게(600kN)및 모델 철근(D3 볼트, ${\phi}2$ 강선)의 경제성과 상용성을 고려하여 결정하였다. 모델 철근은 현장에 바로 설치하기 어렵기 때문에 철망을 제작한 후 현장에서 조립하였다. 벽체와 슬래브를 동시에 타설할 경우 거푸집의 탈형이 매우 어렵기 때문에, 벽체를 먼저 타설하고 양생 후 탈형한 뒤 슬래브 거푸집을 설치하였다. 벽체 거푸집은 반복 사용이 가능한 Slip form 형태로 한쪽은 합판, 다른 한쪽은 아크릴로 제작하여 타설시 밀실도를 확인할 수 있도록 하였다. 1:5 축소 10층 R.C. 공동주택모델을 제작하기 위해 총 제작 기간은 약 6개월이 소요되었으며, 전임 연구원 5명, 작업보조원 612명 일의 인원이 투입되었다.

CeO2가 졸겔법으로 합성한 CeO2-TiO2계 SCR용 촉매의 활성에 미치는 물리화학적 영향 (Physico-chemical effects of cerium oxide on catalytic activity of CeO2-TiO2 prepared by sol-gel method for NH3-SCR)

  • 김부영;신병길;이희수;전호환
    • 한국결정성장학회지
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    • 제23권6호
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    • pp.320-324
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    • 2013
  • $CeO_2$의 첨가가 $CeO_2-TiO_2$계 SCR촉매 활성에 미치는 영향을 구조적, 형상학적, 물리화학적 분석을 통해 규명하였다. 순수한 $TiO_2$ 분말과 10, 20, 30 wt%의 $CeO_2$를 첨가한 $CeO_2-TiO_2$ 분말을 졸겔법으로 합성한 결과, 분말 모두 $TiO_2$의 아나타제 (anatase)상을 나타내었고 $CeO_2$를 첨가할수록 $TiO_2$ 표면에 결정성이 낮은 $CeO_2$가 분산되어 피크강도가 낮아짐을 확인하였다. 순수한 $TiO_2$의 비표면적이 $60.6306m^2/g$인데 반해 $CeO_2-TiO_2$의 비표면적은 30 wt%의 $CeO_2$를 첨가한 경우 $116.2791m^2/g$으로 비표면적이 증가하였고 따라서 첨가된 $CeO_2$$TiO_2$의 응집을 억제한 것으로 예상된다. $NO_x$ 제거효율은 30 wt% $CeO_2-TiO_2$ 촉매가 $300^{\circ}C$에서 98 %로 다른 분말보다 높은 효율을 나타내는데 이는 FT-IR을 이용하여 촉매의 산점 변화를 확인한 결과 30 wt% $CeO_2-TiO_2$ 분말의 경우가 다른 분말들에 비해 산점이 상대적으로 많았기 때문이다. 따라서 졸겔법으로 합성한 SCR용 $CeO_2-TiO_2$계 촉매에서 $CeO_2$의 첨가는 $TiO_2$의 입성장을 억제하여 비표면적을 증가시키고 $Br{\Phi}nsted$ 및 Lewis 산점을 증가시킴으로써 촉매 효율을 향상시켰다고 판단된다.

노천굴착에서 발파진동의 크기를 감량 시키기 위한 정밀파실험식 (On the vibration influence to the running power plant facilities when the foundation excavated of the cautious blasting works.)

  • 허진
    • 화약ㆍ발파
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    • 제9권1호
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    • pp.3-13
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    • 1991
  • 발파에 의한 지반진동의 크기는 화약류의 종류에 따른 화약의 특성, 장약량, 기폭방법, 전새의 상태와 화약의 장전밀도, 자유면의 수, 폭원과 측간의 거리 및 지질조건 등에 따라 다르지만 지질 및 발파조건이 동일한 경우 특히 측점으로부터 발파지점 까지의 거리와 지발당 최대장약량 (W)간에 깊은 함수관계가 있음이 밝혀졌다. 즉 발파진동식은 $V=K{\cdot}(\frac{D}{W^b})^n{\;}{\cdots\cdots\cdots\cdots\cdots\cdots\cdots\cdots\cdots\cdots\cdots}$ (1) 여기서 V ; 진동속도, cm /sec D ; 폭원으로부터의 거리, m W ; 지발 장약량, kg K ; 발파진동 상수 b ; 장약지수 R ; 감쇠지수 이 발파진동식에서 b=1/2인 경우 즉 $D{\;}/{\;}\sqrt{W}$를 자승근 환산거리(Root scaled distance), $b=\frac{1}{3}$인 경우 즉 $D{\;}/{\;}\sqrt[3]{W}$를 입방근환산거리(Cube root scaled distance)라 한다. 이 장약 및 감쇠지수와 발파진동 상수를 구하기 위하여 임의거리와 장약량에 대한 진동치를 측정, 중회귀분석(Multiple regressional analysis)에 의해 일반식을 유도하고 Root scaling과 Cube root scaling에 대한 회귀선(regression line)을 구하여 회귀선에 대한 적합도가 높은 쪽을 택하여 비교, 검토하였다. 위 (1)식의 양변에 log를 취하여 linear form(직선형)으로 바꾸어 쓰면 (2)式과 같다. log V=A+BlogD+ClogW ----- (2) 여기서, A=log K B=-n C=bn (2)식은 다시 (3)식으로 표시할 수 있다. $Yi=A+BXi_{1}+CXi_{2}+{\varepsilon}i{\;}{\cdots\cdots\cdots\cdots\cdots\cdots\cdots\cdots\cdots\cdots\cdots}$(3) 여기서, $Xi_{1},{\;}Xi_{2} ;(두 독립변수 logD, logW의 i번째 측정치. Yi ; ($Xi_1,{\;}Xi_2$)에 대한 logV의 측정치 ${\varepsilon}i$ ; error term 이다. (3)식에서 n개의 자료를 (2)식의 회귀평면으로 대표시키기 위해서는 $S={\sum}^n_{i=1}\{Yi-(A+BXi_{1}+CXi_{2})\}\^2$을 최소로하는 A, B, C 값을 구하면 된다. 이 방법을 최소자승법이 라 하며 S를 최소로 하는 A, B, C의 값은 (4)식으로 표시한다. $\frac{{\partial}S}{{\partial}A}=0,{\;}\frac{{\partial}S}{{\partial}B}=0,{\;}\frac{{\partial}S}{{\partial}C}=0{\;}{\cdots\cdots\cdots\cdots\cdots\cdots\cdots\cdots\cdots\cdots\cdots}$ (4) 위식을 Matrix form으로 간단히 나타내면 식(5)와 같다. [equation omitted] (5) 자료가 많아 계산과정이 복잡해져서 본실험의 정자료들은 전산기를 사용하여 처리하였다. root scaling과 Cube root scaling의 경우 각각 $logV=A+B(logD-\frac{1}{2}W){\;}logV=A+B(logD-\frac{1}{3}W){\;}\}{\;}{\cdots\cdots\cdots\cdots\cdots\cdots\cdots\cdots\cdots}$ (6) 으로 (2)식의 특별한 형태이며 log-log 좌표에서 직선으로 표시되고 이때 A는 절편, B는 기울기를 나타낸다. $\bullet$ 측정치의 검토 본 자료의 특성을 비교, 검토하기 위하여 지금까지 발표된 국내의 몇몇 자료를 보면 다음과 같다. 물론, 장약량, 폭원으로 부터의 거리등이 상이하지만 대체적인 경향성을 추정하는데 참고할수 있을 것이다. 금반 총실측자료는 총 88개이지만 환산거리(5.D)와 진동속도의 크기와의 관계에서 차이를 보이고 있어 편선상 폭원과 측점지점간의 거리에 따라 l00m말만인 A지역과 l00m이상인B지역으로 구분하였다. 한편 A지역의 자료 56개중, 상하로 편차가 큰 19개를 제외한 37개자료와 B지역의 29개중 2개를 낙외한 27개(88개 자료중 거리표시가 안된 12월 1일의 자료3개는 원래부터 제외)의 자료를 computer로 처리하여 얻은 발파진동식은 다음과 같다. $V=41(D{\;}/{\;}\sqrt[3]{W})^{-1.41}{\;}{\cdots\cdots\cdots\cdots\cdots\cdots\cdots\cdots\cdots}$ (7) (-100m)(R=0.69) $V=124(D{\;}/{\;}\sqrt[3]{W})^{-1.66){\;}{\cdots\cdots\cdots\cdots\cdots\cdots\cdots\cdots\cdots}$ (8) (+100m)(R=0.782) 식(7) 및 (8)에서 R은 구한 직선식의 적합도를 나타내는 상관계수로 R=1인때는 모든 측정자료가 하나의 직선상에 표시됨을 의미하며 그 값이 낮을수록 자료가 분산됨을 뜻한다. 본 보고에서는 상관계수가 자승근거리때 보다는 입방근일때가 더 높기 때문에 발파진동식을 입방근($D{\;}/{\;}\sqrt[3]{W}$)으로 표시하였다. 특히 A지역에서는 R=0.69인데 비하여 폭원과 측점지점간의 거리가 l00m 이상으로 A지역보다 멀리 떨어진 B지역에서는 R=0.782로 비교적 높은 값을 보이는 것은 진동성분중 고주파성분의 상당량이 감쇠를 당하기 때문으로 생각된다.

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