• Title/Summary/Keyword: expansion formula

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Theoretical Evaluation on Spacings of Expansion Joint (팽창줄눈의 이론적 산정)

  • 이홍재;이차돈
    • Proceedings of the Korea Concrete Institute Conference
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    • 1999.10a
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    • pp.455-458
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    • 1999
  • It has been known that buildings having inappropriate expansion joints in their spacings may be subject to exterior damages due to extensive cracks on the outer walls under service loads, and structural damages due to excessive moment induced by temperature changes at ultimate load conditions. Rather inconsistent code provisions are available regarding spacings of expansion joints from different foreign structural codes and even worse, no quantiative measure on spacings is given in our codes for building structures. In order to establish a rational measure on the spacing of expansion joints, theoretical approaches are taken in this study. The developed theoretical formula is, then, converted to design chart for structural designer's convenience in its use. The chart considers both service and ultimate load stages.

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Design of Expansion Segment of Precast Prestressed Concrete Segmental Box Girder bridges Using Strut and Tie Model (스트럿 타이 모델을 이용한 프리캐스터 프리스트레스 콘크리트 세그멘탈 박스 거더 교량의 신축이음 세그멘트이 설계기법 연구)

  • 오병환;이형준;김익현;한승환
    • Proceedings of the Korea Concrete Institute Conference
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    • 1995.04a
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    • pp.268-273
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    • 1995
  • In recent years, precast prestressed concrete segmental box girder bridges have been increasingly constructed Expansion disphragm segment of this type bridge transfers forces from the superstructure onto bearing or column, and plays an important roll of anchorage zone for longitudinal prestressed forces. Non-linear stresses occur inside of diaphragms by these extensive concentrated forces. In this study, the strut-and-tie models are proposed to design an expansion segment rationally. A formula to determine the effective transverse prestressed forces is proposed on the basis of these models. The present study is expected to provide an effective tool to design expansion segment of prestressed concrete bridges rationally.

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Vibration Analysis of Expansion Joint with Rotary Inertia Using Transfer Matrix Method (전달행렬법을 이용하여 회전관성을 고려한 Expansion Joint의 진동해석)

  • Shin, Dong-Ho;Oh, Jae-Eung;Lee, Jung-Youn
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2011.04a
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    • pp.544-549
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    • 2011
  • Simplified formulae for axial and bending natural frequencies of bellows are developed using an equivalent thin-walled pipe model. The axial and bending stiffness of bellows is determined using lumped transfer matrix method. Accordingly, the Expansion Joint Manufacturers Association (EJMA) formula for axial and bending stiffness calculation is modified using two different equivalent radii. The results from the simplified formulae are verified by those from a experiment result and a finite element (FE) model and good agreement is shown between the each other.

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A Study on the Residual Expansibility of Electric Arc Furnace Slag Aggregate (전기로슬래그 골재의 잔류팽창성에 대한 고찰)

  • Yoo, Jung-Hoon;Choi, Jae-Jin
    • Journal of the Korean Recycled Construction Resources Institute
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    • v.2 no.1
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    • pp.128-135
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    • 2006
  • Steel slag (divided into electric arc furnace slag and convener slag) is being produced by millions of tons per every year in many industrial countries. About 6.5 million tonnes of steel slag is produced yearly as an industrial by-product in Korea. Generally natural aggregate is relatively stable and does not enter into complex chemical reactions with water. Unfortunately, however. steel slag aggregate contains a small amount of free lime. The hydration of free lime makes steel slag aggregate unstable and liable to expand. In this paper, firstly, several aging methods are used in order to decrease the volume expansion of electric arc furnace slag, that is stabilization. The volume expansion of electric arc furnace slag is formulated from the experiment. From the formula, the residual expansibility is predicted with immersion expansion. Compressive strength of concrete with electric arc furnace slag has relation with the residual expansibility in slag aggregate.

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Levy-Type Swaption Pricing Model (Levy-Swaption 가치 평가 모형)

  • Lee, Joon-Hee;Park, Jong-Woo
    • Korean Management Science Review
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    • v.25 no.3
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    • pp.1-12
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    • 2008
  • The Swaption is one of the popular Interest rates derivatives. In spite of such a popularity, the swaption pricing formula is hard to derived within the theoretical consistency. Most of swaption pricing model are heavily depending on the simulation technique. We present a new class of swaption model based on the multi-factor HJM levy-mixture model. A key contribution of this paper is to provide a generalized swaption pricing formula encompassing many market stylize facts. We provide an approximated closed form solution of the swaption price using the Gram-Charlier expansion. Specifically, the solution form is similar to the market models, since our approximation is based on the Lognormal distribution. It can be directly compared with the traditional Black's formula when the size of third and fourth moments are not so large. The proposed extended levy model is also expected to be capable of producing the volatility smiles and skewness.

Experiment and Prediction of Nonlinear Behavior at High Temperatures of Ferroelectric Ceramics Switched by Electric Field at Room Temperature

  • Ji, Dae Won;Kim, Sang-Joo
    • Journal of the Korean Ceramic Society
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    • v.54 no.3
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    • pp.235-242
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    • 2017
  • Changes in polarization and thermal expansion coefficients during temperature increase of a poled lead zirconate titanate (PZT) cube specimen switched by an electric field at room temperature are measured. The measured data are analyzed to construct governing differential equations for polarization and strain changes. By solving the differential equations, an experimental formula for the high temperature behavior of ferroelectric materials is obtained. It is found that the predictions by the formula are in good agreement with measures. From the viewpoint of macroscopic remnant state variables, it appears that the processes of electric field-induced switching at different temperatures are identical and independent of temperature between $20^{\circ}C$ and $110^{\circ}C$.

SOME RESULTS INVOLVING THE MULTIPLE H FUNCTION

  • Mathur, B.L.;Krishna, Shri
    • Kyungpook Mathematical Journal
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    • v.18 no.2
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    • pp.239-244
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    • 1978
  • The object of the present paper is to obtain certain results involving the H function of several complex variables. An integral involving the generalized Whittaker functions and the multiple H function has been evaluated and this result has been further utilized in finding out an expansion formula for the multiple H function in terms of the Laguerre polynomials. Some particular cases of interest have also been indicated.

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A study on the improvement of the thermal expansion formula of the insulating oil in electric facilities (전력설비 절연유 열팽창 계산식 개선에 관한 연구)

  • Rim, Seong-Hwang;Moon, Bong-Soo
    • Proceedings of the KIEE Conference
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    • 2001.11b
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    • pp.153-156
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    • 2001
  • The transformer and the OF cable are cooled and insulated by insulating oils in their body. The insulating oil expands or contracts with the heat transfer according to the operating conditions of the electric facilities. So we install the $N_2$ gas tank connected with the insulating oil system to overcome the change. The change of the insulating oil volume for the operation temperature range must be calculated to decide the $N_2$ gas volume and to set the alarm point for safe operation. It is known that this change is proportional to the temperature change and to the insulating oil volume if the temperature change is small enough.[1][11] However this proportional formula has been accepted generally in the design of electric facilities for wide operation temperature range such as $40^{\circ}C{\sim}125^{\circ}C$. Hence, it makes large errors in calculation which car result in serious damage against safe operation of the electric facilities. This paper presents a improved method of calculating the accurate change of the insulating oil volume to insure the safe operation of electric facilities.

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On a New Theorem Involving the $\bar{H}$-function and a General Class of Polynomials

  • SHARMA, R.P.
    • Kyungpook Mathematical Journal
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    • v.43 no.4
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    • pp.489-494
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    • 2003
  • In this paper, we first establish an interesting theorem involving the $\bar{H}$-function introduced by Inayat-Hussain ([7], [8]). The convergence and existence condition, basic properties of this function were given by Buschman and Srivastava ([2]). Next, we obtain certain new integrals and an expansion formula by the application of our theorem. On account of the most general nature of the functions involved herein, our main findings are capable of yielding a large number of new, interesting and useful integrals, expansion formulae involving simple special functions and polynomials as their special cases. A known special case of our main theorem in also given ([11]).

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Vibration Analysis of Expansion Joint based on Transfer Matrix Method Considering the Rotary Inertia (회전 관성을 고려한 전달행렬법 기반의 Expansion Joint 진동해석)

  • Shin, Dong-Ho;Kim, Sang-Ho;Yoon, Hyung-Ho;Lim, Hee-Gon;Oh, Jae-Eung;Lee, Jung-Youn
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.21 no.7
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    • pp.665-673
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    • 2011
  • Simplified formulae for axial and bending natural frequencies of a bellows are developed using an equivalent thin-walled pipe model. The axial and bending stiffness of bellows is determined using lumped transfer matrix method. Transfer matrix method which includes the rotary inertia is used to calculate the natural frequencies for axial and lateral vibration. The result from the simplified formula are verified by those from as experiment result and a finite element analysis. This comparisons show good agreement with the each other.