• Title/Summary/Keyword: Size Distribution Function

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Effect of superstructure-abutment continuity on live load distribution in integral abutment bridge girders

  • Dicleli, Murat;Erhan, Semih
    • Structural Engineering and Mechanics
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    • v.34 no.5
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    • pp.635-662
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    • 2010
  • In this study, the effect of superstructure-abutment continuity on the distribution of live load effects among the girders of integral abutment bridges (IABs) is investigated. For this purpose, two and three dimensional finite element models of several single-span, symmetrical integral abutment and simply supported (jointed) bridges (SSBs) are built and analyzed. In the analyses, the effect of various superstructure properties such as span length, number of design lanes, girder size and spacing as well as slab thickness are considered. The results from the analyses of two and three dimensional finite element models are then used to calculate the live load distribution factors (LLDFs) for the girders of IABs and SSBs as a function of the above mentioned parameters. LLDFs for the girders are also calculated using the AASHTO formulae developed for SSBs. Comparison of the analyses results revealed that the superstructure-abutment continuity in IABs produces a better distribution of live load effects among the girders compared to SSBs. The continuity effects become more predominant for short span IABs. Furthermore, AASHTO live load distribution formulae developed for SSBs lead to conservative estimates of live load girder moments and shears for short-span IABs.

Estimation of the Kinetic Energy of Raindrops for Hourly Rainfall Considering the Rainfall Particle Distribution (강우입자분포를 고려한 시강우의 강우에너지 산정 연구)

  • Kim, Seongwon;Jeong, Anchul;Lee, Giha;Jung, Kwansue
    • Journal of the Korean GEO-environmental Society
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    • v.19 no.12
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    • pp.15-23
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    • 2018
  • The occurrence of soil erosions in Korea is mostly driven by flowing water which has a close relationship with rainfalls. The soil eroded by rainfalls flows into and deposits in the river and it polluted the water resources and making the rivers become difficult to be managed. Recently, the frequency of heavy rainfall events that are more than 30 mm/hr has been increasing in Korea due to the influence of climate change, which creating a favourable condition for the occurrence of soil erosion within a short time. In this study, we proposed a method to estimate the distribution of rainfall intensity and to calculate the energy produced by a single rainfall event using the cumulative distribution function that take into account of the physical characteristics of rainfall. The raindrops kinetic energy estimated by the proposed method are compared with the measured data from the previous studies and it is noticed that the raindrops kinetic energy estimated by the rainfall intensity variation is very similar to the results concluded from the previous studies. In order to develop an equation for estimating rainfall kinetic energy, rainfall particle size data measured at a rainfall intensity of 0.254~152.4 mm/hr were used. The rainfall kinetic energy estimated by applying the cumulative distribution function tended to increase in the form of a power function in the relation of rainfall intensity. Based on the equation obtained from this relationship, the rainfall kinetic energy of 1~80 mm/hr rainfall intensity was estimated to be $0.03{\sim}48.26Jm^{-2}mm^{-1}$. Based on the relationship between rainfall intensity and rainfall energy, rainfall kinetic energy equation is proposed as a power function form and it is expected that it can be used in the design of short-term operated facility such as the sizing of sedimentation basin that requires prediction of soil loss by a single rainfall event.

A Markovian queue with two serial servers and its application to the double tollbooth system (M/M/2 직렬-서어버 모형의 분석 및 응용)

  • 양원석;채경철
    • Journal of the Korean Operations Research and Management Science Society
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    • v.22 no.2
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    • pp.1-12
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    • 1997
  • We consider an M/M/2 queue with two servers placed in series. System performance measures that we present in closed expressions are the first and the second moments for the system size, the queue walting time and the sojourn time. We also present an algorithm for computing the queue waiting time distribution function based on the randomization method. As an application, we analyze the double tollbooth system and compare its performance with the conventional single tollbooth system's.

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On the determination of optimal sizes (최적 표준치수 결정에 관한 연구)

  • 박영택;김성득
    • Journal of the Ergonomics Society of Korea
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    • v.11 no.1
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    • pp.39-47
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    • 1992
  • This paper considers the problem of determining standard product sizes. A customer, who does not find his size, may purchase rather larger or smaller one, but the purchasing desire decreases as the difference between the required and the prepared increases. Introducing a potential demand distribution and a loss function, which reflects how much the purchasing desire chantes according to the difference, we sormulate the problem and suggest a procedure to determine the optimal standard sizes minimizing the loss. Numerical examples are presented to explain the result.

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Optimal Rates of Convergence for Tensor Spline Regression Estimators

  • Koo, Ja-Yong
    • Journal of the Korean Statistical Society
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    • v.19 no.2
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    • pp.105-112
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    • 1990
  • Let (X, Y) be a pair random variables and let f denote the regression function of the response Y on the measurement variable X. Let K(f) denote a derivative of f. The least squares method is used to obtain a tensor spline estimator $\hat{f}$ of f based on a random sample of size n from the distribution of (X, Y). Under some mild conditions, it is shown that $K(\hat{f})$ achieves the optimal rate of convergence for the estimation of K(f) in $L_2$ and $L_{\infty}$ norms.

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Martensitic Transformation Behaviors of Gas Atomized Ti50Ni30Cu20 Powders (Gas atomization으로 제조된 Ti50Ni30Cu20 합금 분말의 상변태 거동)

  • Kim, Yoen-Wook;Chung, Young-Soo;Choi, Eun-Soo;Nam, Tae-Hyun;Im, Yeon-Min
    • Journal of Korea Foundry Society
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    • v.31 no.1
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    • pp.26-30
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    • 2011
  • For the fabrication of bulk near-net-shape Ti-Ni-Cu shape memory alloys, consolidation of Ti-Ni-Cu alloy powders are useful because of their brittle property. In the present study, $Ti_{50}Ni_{30}Cu_{20}$ shape memory alloy powders were prepared by gas atomization and martensitic transformation temperatures and microstructures of those powders were investigated as a function of powder size. The size distribution of the powders was measured by conventional sieving, and sieved powders with the specific size range of 25 to $150\;{\mu}m$ were chosen for this examination. XRD analysis showed that the B2-B19 martensitic transformation occurred in the powders. In DSC curves of the as-atomized $Ti_{50}Ni_{30}Cu_{20}$ powders as a function of powder size, only one clear peak was found on each cooling and heating curve. The martensitic transformation start temperature($M_s$) of the $25-50\;{\mu}m$ powders was $31.5^{\circ}C$. The $M_s$ increased with increasing powder size and the difference of $M_s$ between $25-50\;{\mu}m$ powders and $100-150\;{\mu}m$ powders is only $1^{\circ}C$. The typical microstructure of the rapidly solidified powders showed cellular morphology and very small pores were observed in intercellular regions.

A Study on Characteristics of Space Composition for Exhibition and Convention Facilities - Focused on the Function Distribution and Area Composition - (전시컨벤션 시설의 공간구성적 특성에 관한 연구 - 기능배분과 면적구성을 중심으로 -)

  • Park, Tae-Sung
    • Korean Institute of Interior Design Journal
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    • v.22 no.2
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    • pp.203-210
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    • 2013
  • The purpose of this study was to investigate and analyze the function and scale on aspect of construction planning with examples of exhibition and convention facilities constructed recently in domestic and foreign area. Also, it was to provide the result for basic data for construction planning and architecture of similar facilities constructed later. The study methodles, but they had characteristics to use the space with compound purpose for exhibition, conference, etc through installing multi-purpose hall. Finally, for effective construction planning of exhibition and convention facilities, it was required to decrease the ratio of common area gradually and derive rationalization of whole space composition by deriving complexity of function rather than planning of single purpose of each facility for exhibition and conference function. was to analyze the characteristics of construction planning for composition and scale of exhibition, conference, public use, support, maintenance functions, etc and placement composition of unit rooms by each floor on the basis of internal area of exhibition and convention facility in Korea and Japan. As the result of analyzing 10 examples(K1~J5), the placement of auditorium and multi-purpose hall was affected according to location of exhibition room and conference room in the composition of unit rooms by each floor and the installment ratio of support facility in Korean examples was higher than in Japanese examples. In case of facility scale, the Japanese examples were overall small in the whole scale relatively to Korean examp.

Thickness Dependence of Size and Arrangement in Anodic TiO2 Nanotubes

  • Kim, Sun-Mi;Lee, Byung-Gun;Choi, Jin-Sub
    • Bulletin of the Korean Chemical Society
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    • v.32 no.10
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    • pp.3730-3734
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    • 2011
  • The degree of self-assembly and the size variation of nanotubular structures in anodic titanium oxide prepared by the anodization of titanium in ethylene glycol containing 0.25 wt % $NH_4F$ at 40 V were investigated as a function of anodization time. We found that the degree of self-assembly and the size of the nanotubes were strongly dependent on thickness deviation and thus indirectly on anodization time, as the thickness deviation was caused by the dissolution of the topmost tubular structures at local areas during long anodization. A large deviation in thickness led to a large deviation in the size and number of nanotubes per unit area. The dissolution primarily occurred at the bottoms of the nanotubes ($D_{bottom}$) in the initial stage of anodization (up to 6 h), which led to the growth of nanotubes. Dissolution at the tops ($D_{top}$) was accompanied by $D_{bottom}$ after the formed structures contacted the electrolyte after 12 h, generating the thickness deviation. After extremely long anodization (here, 70 h), $D_{top}$ was the dominant mode due to increase in pH, meaning that there was insufficient driving force to overcome the size distribution of nanotubes at the bottom. Thus, the nanotube array became disorder in this regime.

Extending the calibration between empirical influence function and sample influence function to t-statistic (경험적 영향함수와 표본영향함수 간 차이 보정의 t통계량으로의 확장)

  • Kang, Hyunseok;Kim, Honggie
    • The Korean Journal of Applied Statistics
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    • v.34 no.6
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    • pp.889-904
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    • 2021
  • This study is a follow-up study of Kang and Kim (2020). In this study, we derive the sample influence functions of the t-statistic which were not directly derived in previous researches. Throughout these results, we both mathematically examine the relationship between the empirical influence function and the sample influence function, and consider a method to approximate the sample influence function by the empirical influence function. Also, the validity of the relationship between an approximated sample influence function and the empirical influence function is verified by a simulation of a random sample of size 300 from normal distribution. As a result of the simulation, the relationship between the sample influence function which is derived from the t-statistic and the empirical influence function, and the method of approximating the sample influence function through the empirical influence function were verified. This research has significance in proposing both a method which reduces errors in approximation of the empirical influence function and an effective and practical method that evolves from previous research which approximates the sample influence function directly through the empirical influence function by constant revision.