• Title/Summary/Keyword: Critical span curve

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Stability Assessment of Underground Limestone Mine Openings by Stability Graph Method (Stability graph method에 의한 석회석 지하채굴 공동의 안정성 평가)

  • Sunwoo Choon;Jung Yong-Bok
    • Tunnel and Underground Space
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    • v.15 no.5 s.58
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    • pp.369-377
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    • 2005
  • The stability of underground openings is a major concern for the safety and productivity of mining operations. Rock mass classification methods provide the basis of many empirical design methods as well as a basis for numerical analysis. Of the many factors which influence the stability of openings, the span of the opening for a given rock mass condition provides an important parameter of design. In this paper, the critical span curves proposed by Lang, the Mathews stability graph method and the modified critical span curve suggested by the authors have been assessed. The modified critical span curve was proposed by using Mathews stability graph method. The modified critical span curve by the author have been used to assess the stability of underground openings in several limestone mines.

Underground Mine Design and Stability Analysis at a Limestone Mine (석회석광산의 갱내채광설계 및 안정성평가)

  • Koo, Chung-Mo;Jeon, Seok-Won;Lee, In-Woo
    • Tunnel and Underground Space
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    • v.18 no.4
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    • pp.243-251
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    • 2008
  • Recently, the mining methods are changing from surface mining to underground mining because of the increment of the environmental issues and legal regulations. Therefore, the stability of underground openings is a major concern for the safety and productivity of mining operations. In this paper, a survey of structural geology and discontinuities were carried out at a limestone mine. The relevant mechanical properties of rocks were determined by the laboratory tests and rock mass classifications (RMR and Q-system) for the mine design and input data for the stability analysis. The dimensions of unsupported span for underground openings and pillar were decided based on the RMR values of rock mass classifications. The stability analysis for the suggested mine design was examined through the empirical methods (stability graph method and critical span curve) and 3-D numerical analysis (Visual-FEA).

Loosely supported multi-span tube damping according to the support clearance (지지점 간극을 갖는 다점지지 관의 지지점 간극 크기에 따른 감쇠특성 비교)

  • Lee, Kanghee;Kang, Heungseok;Shin, Changhwan;Kim, Jaeyong;Lee, Chiyoung;Park, Taejung
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2014.10a
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    • pp.402-403
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    • 2014
  • Damping of multi-span tube with loose supports according to the finite support clearances is investigated through the experimental modal analysis. Loose intermediate support leads to strong nonlinearity in tube dynamics, provides statistical nature, and increases tube damping through impacting and friction at the supports. Fraction of critical damping was estimated by the modal curve fitting to parameter estimation from the measured frequency response functions. Magnitude of random excitation force, which can reproduce the in-situ excitation in operating environment, was maintained as constant value with a fine tolerance during vibration testing. Range of input force was carefully selected to cover from the low magnitude excitation for linearly behaved tube motion to high magnitude of force for nonlinearly-behaved tube motion. Estimated critical damping ratio shows scatters in data and tends to increase as the magnitude of rising force and decrease with upward frequency variation. Larger size of support gap increases multi-span tube damping for high magnitude of excitation.

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Stability Assessment of Abandoned Gangway for Commercial Utilization of Services (서비스업 활용을 위한 광산 폐갱도의 안정성 평가)

  • SunWoo, Choon;Chung, So-Keul;Lee, Yun-Su;Kang, Sang-Soo;Kang, Jung-Seok
    • Tunnel and Underground Space
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    • v.22 no.5
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    • pp.297-309
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    • 2012
  • The stability assessment of abandoned gangway for the purpose of services was performed. Among the many factors that affect the stability of openings, the span of the opening in a given rock mass condition provides an important element of design. In this paper, the stability of gangway was assessed by the critical span curves proposed by Lang, the modified Mathews'stability graph method and using support measures of the Q system. In the evaluation of stability as a whole the gangway is considered as stable. But the rockfalls of wedge-shaped blocks were expected in the area in which the horizontal joints of low angle appear. The support measures such as local rock bolts are required to use for commercial purposes of the abandoned gangway. And entrance section may require the particular attention as unstable section. Since there are so many spalling due to bad blasting in the roof and sidewall of gangway, the scaling operations should be followed primarily.

Post-pillars design for safe exploitation at Trepça hard rock mine (Kosovo) based on numerical modeling

  • Ibishi, Gzim;Genis, Melih;Yavuz, Mahmut
    • Geomechanics and Engineering
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    • v.28 no.5
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    • pp.463-475
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    • 2022
  • In the mine exploitation stage; one of the critical issues is the stability assessment of post-pillars. The instability of post-pillars leads to serious safety hazards in mining operations. The focus of this study is to assess the stability of post-pillars in the 130# stope in the central ore body at Trepça hard rock mine by employing both conventional (i.e., critical span curve) and numerical methods (i.e., FLAC3D). Moreover, a new numerical based index (i.e., Pillar Yield Ratio-PYR) was proposed. The aim of PYR index is to determine a border line between stable, potentially unstable, and failure state of post-pillars at a specific mine site. The critical value of pillar width to height ratio is 2.5 for deep production stopes (e.g., > 800 m). Results showed that pillar size, mining height and mining depth significantly have affected the post-pillar stability. The reliability of numerical based index (i.e., PYR) is verified based on empirical underground pillar stability graph developed by Lunder, 1994. The proposed pillar yield ratio index and pillar stability graph can be used as a design tool in new mining areas at Trepça hard rock mine and for other situations with similar geotechnical conditions.

Research on static and dynamic behaviors of PC track beam for straddle monorail transit system

  • Yang, Yongqing;Yang, Deng;Gou, Hongye;Bao, Yi
    • Steel and Composite Structures
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    • v.31 no.5
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    • pp.437-452
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    • 2019
  • In this study, in-situ static and dynamic tests of four pre-stressed concrete (PC) track beams with different span lengths and curvatures in a straddle monorail transit system were reported. In the static load tests, the strain and deflection at critical sections of the PC track beams were measured to determine the load bearing capacity and stiffness. The dynamic responses of strain, deflection, acceleration, and displacement at key positions of the PC track beams were measured under different train speeds and train loads to systematically study the dynamic behaviors of the PC track beams. A three-dimensional finite element model of the track beam-vehicle coupled vibration system was established to help understand the dynamic behavior of the system, and the model was verified using the test results. The research results show that the curvature, span length, train speed, and train loads have significant influence on the dynamic responses of the PC track beams. The dynamic performance of the PC track beams in the curve section is susceptible to dynamic loads. Appropriate train loads can effectively reduce the impact of the train on the PC track beam. The PC track beams allow good riding comfort.

Experimental Study On Seismic Behavior Of Masonry Walls With Column (기둥 및 벽체가 보강된 조적벽체의 지진거동에 대한 실험적 연구)

  • Kikuchi, Kenji;Park, Kang-Geun
    • Journal of Korean Association for Spatial Structures
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    • v.6 no.2 s.20
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    • pp.93-105
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    • 2006
  • In order to investigate the effect of the height of application point of lateral loads and reinforcing steel bars in walls and columns in improving the seismic behavior of confined concrete block masonry walls, an experimental research program is conducted. A total of twelve one-half scale specimens are tested under repeated lateral loads. Specimens are tested to failure with increasing maximum lateral drifts while a vertical axial load was applied and maintained constant. The specimens adopted are two-dimensional (2D) hollow concrete block masonry walls with different parameters such as shear span ratio, inflection point and percent of reinforcement in confining columns and walls. Test results obtained for each specimen include cracking patterns, load-deflection curve, and strains in reinforcement and walls in critical locations. Analysis of test data showed that above parameters generate a considerable effect on the seismic performance of confined concrete block masonry walls.

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Derivation of Empirical Erosion Equation of the 40 mm Long Hollow Cylinder (40 mm 장축공동실린더의 마모경험식 유도)

  • Chung, Dong-Yoon;Oh, Myoung-Ho;Shin, Nae-Ho
    • Tribology and Lubricants
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    • v.25 no.3
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    • pp.171-175
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    • 2009
  • One of the critical issues associated with the 40mm long hollow cylinder's development and maintenance is the prediction of cylinder erosion. The actual firing test is the most accurate method to measure the cylinder erosion rate. But it costs a great deal and requires a long measurement time. Hence many empirical methods have been proposed to predict the erosion rate and life span of long hollow cylinders. An EFC formula is calculated. An approximate erosion formula for the ammunition type A is derived to interpolate 16 observation values up to 4,000 rounds. A new erosion equation and muzzle velocity formula are also suggested. Several numerical results are presented.

Free Vibrations of Tapered Columns with Constant Volume (일정체적 변단면 기둥의 자유진동)

  • 이병구;이태은;최규문;송주한
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2002.05a
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    • pp.417-422
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    • 2002
  • The main purpose of this paper is to determine the dynamic optimal shapes of tapered column with constant volume. The linear, parabolic and sinusoidal tapers with the regular polygon cross-section are considered, whose material volume and span length are always held constant. The ordinary differential equation including the effect of axial load is applied to calculate the natural frequencies. The Runge-Kutta method and Regula-Falsi methods are used to integrate the differential equation and compute the frequencies, respectively. Then the dynamic optimal shape whose lowest natural frequency is highest is determined by reading the critical value of the frequency versus section ratio curve plotted by the frequency data. In the numerical examples, the tapered columns are analysed and the numerical result of this study are shown in table and figures.

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