• Title/Summary/Keyword: p-resultants

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Divergence-free algorithms for moment-thrust-curvature analysis of arbitrary sections

  • Chen, Liang;Liu, Si-Wei;Chan, Siu-Lai
    • Steel and Composite Structures
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    • v.25 no.5
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    • pp.557-569
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    • 2017
  • Moment-thrust-curvatures ($M-P-{\Phi}$ curves) are fundamental quantities for detailed descriptions of basic properties such as stiffness and strength of a section under axial loads required for accurate computation of the deformations of reinforced concrete or composite columns. Currently, the finite-element-based methods adopting small fibers for analyzing a section are commonly used for generating the $M-P-{\Phi}$ curves and they require large amounts of computational time and effort. Further, the conventional numerical procedure using the force-control method might encounter divergence problems under high compression or tension. Therefore, this paper proposes a divergence-free approach, combining the use of the displacement-control and the Quasi-Newton scheme in the incremental-iterative procedure, for generating the $M-P-{\Phi}$ curves of arbitrary sections. An efficient method for computing the strength from concrete components is employed, where the stress integration is executed by layer-based algorithms. For easy modeling of residual stress, cross sections of structural steel components are meshed into fibers for strength resultants. The numerical procedure is elaborated in detail with flowcharts. Finally, extensive validating examples from previously published research are given for verifying the accuracy of the proposed method.

A Study on the Preparation of the Exfoliated Polyimide Nanocomposite and Its Characterization (박리형 폴리이미드 나노복합재료 제조와 특성에 관한 연구)

  • 유성구;박대연;김영식;이영철;서길수
    • Polymer(Korea)
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    • v.26 no.3
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    • pp.375-380
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    • 2002
  • Diamines (p-phenylenediamine , m-phenylenediamine , and n-hexamethylenediamine) were intercalated into sodium montmorillonite for the further reaction with the anhydride end groups of polyamic acid. The anhydride terminated polyamic acid was synthesized using a mole ratio of 4,4'-oxydianilline : 1,2,4,5-benzene tetracarboxylic dianhydride = 1.50 : 1.53. The modified montmorillonite was reacted with polyamic acid terminated with anhydride group in N-methyl-2-pyrrolidone (polyamic acid/clay nanocomposite). After imidization, thin films of the polyimide/clay nanocomposite were prepared. From the results of XRD and TEM, we found that mono layered silicates were dispersed in polyimide matrix and those resultants were exfoliated nanocomposites. Mechanical properties of exfoliated polyimide nanocomposite were better than both those of pure polyimide and those of intercalated polyimide nanocomposite.

A Study on the Estimation of Heavy Storm (호우량(豪雨量)의 추정(推定)에 관(關)한 일고찰(一考察))

  • Cho, Hi Doo
    • Journal of Korean Society of Forest Science
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    • v.23 no.1
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    • pp.35-39
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    • 1974
  • After lasting heavy storm, the overfow from the top of soil saving dam may follow if the outlet is not precisely designed and it causes great damages as a result. Therefore, the peak rate of flood must be premeditated at the time of dam construction and many kinds of erosion control measures should also be constructed to protect against the effects of oveflow causing the damages. In this paper, the daily maximum amounts of precipitation from 1904 to 1972 are used as samples of this statistical analysis for the previous purpose and studying local ranges are limited the number of areas to two; Pusan and Mokpo area, because other areas can not give the data of more than 69 years. Normal distribution, as follows, is used for this statistical study. $$P(X)=\int_{x}^{{\infty}}f(x)dx$$ x: daily maximum amount X: maximum of x P(X): probability to exceed X value The estimates, which are the resultants of statistical analysis, can be locally compared with the real values (daily maximum amounts) by diagram, whether the former truly coincides with the latter. As a result, statistical method canot be used for the premeditation of the amount as well as timing of heavy storms because the estimates donot coincide with the real values in this analysis.

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A Study on the Factors Affecting the Low Back Pain of Workers in Hospital (병원 근무자의 요통 발생 요인에 관한 연구)

  • Jeong, Jin-Young;Son, Kyung-Hyun
    • Journal of Korean Physical Therapy Science
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    • v.16 no.3
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    • pp.55-66
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    • 2009
  • Background: The purpose of this research was to investigate the factors affecting the low back pain of workers in hospital. 214 subjects waking at two general hospitals in Yosu city participated in this survey. Subjects consisted of doctors, nurses, medical engineers, officers and general laborers. The survey data were collected by a written questionnaire which made out by themselves for 25 days, from fourth August to 29th August, 2008. Methods: The questionnaire consisted of four categories, general, occupational, working habitual and the daily living characteristics. The collected data were analyzed by Chi-square test based on the present or absent of low back pain. Results: 1. In the general characteristics, low back pain had no significant relationship to all factors, sex, ago, body mass index, weight and height. 2. In the occupational characteristics, the phase of distribution of low back pain had statistical significant differences in the working hours a week, satisfaction of pay, satisfaction of occupation(p<0.05). However low back pain did not significantly related to the kind of occupation, period of work and degree of stress. 3. In the habitual characteristics, low back pain was significantly influenced by working posture, frequency of using lumbar and heavy material lifting, monotonous repetition of working operation and noise(p<0.05). No significant difference was shown in the factor of convenience of chair. 4. In the daily living characteristics, low back pain shown the significant differences in walking time a day, status of health and smoking pattern(p<0.05). there were, however, no significant differences in the aspect of the kind of house and bed, sleeping attitude, driving, riding time on the vehicle, exercising, frequency of cultural life and drinking alcohol. Conclusion: when I see above resultants totally, it appears a higher incidence caused by working environment rather than living habit and then consequently compared to hospital workers, they also have high incidence like others. In order to reduce incidence of low back pain and enjoy the our life we need to educate ourselves preventing program for low back pain and try to effort for preventing of low back pain on each department and individual.

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Origin and Evolution of Leucogranite of NE Yeongnam Massif from Samcheok Area, Korea (삼척지역 북동 영남 육괴에 분포하는 우백질 화강암의 기원 및 진화)

  • Cheong, Won-Seok;Na, Ki-Chang
    • The Journal of the Petrological Society of Korea
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    • v.17 no.1
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    • pp.16-35
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    • 2008
  • We study metamorphism of metasedimetary rocks and origin and evolution of leucogranite form Samcheok area, northeastern Yeongnam massif, South Korea. Metamorphic rocks in this area are composed of metasedimentary migmatite, biotite granitic gneiss and leucogranite. Metasedimentary rocks, which refer to major element feature of siliclastic sediment, are divided into two metamorphic zones based on mineral assemblages, garnet and sillimanite zones. According to petrogenetic grid of mineral assemblages, metamorhpic P-T conditions are $740{\sim}800^{\circ}C$ at $4.8{\sim}5.8\;kbar$ in the garnet zone and $640-760^{\circ}C$ at 2.5-4.5kbar in sillimanite zone. The leucogranite (Imwon leucogranite) is peraluminous granite which has high alumina index (A/CNK=1.31-1.93) and positive discriminant factor value (DF > 0). Thus, leucogranite is S-type granite generated from metasedimentary rocks. Major and trace element diagram ($R_1-R_2$ diagram and Rb vs. Y+Nb etc.) show collisional environment such as syn-collisional or volcanic arc granite. Because Rb/sr ratio (1.8-22.9) of leucogranites is higher than Sr/Ba ratio (0.21-0.79), leucogranite would be derived from muscovite dehydrate melting in metasedimentary rocks. Leucogranites have lower concentration of LREE and Eu and similar that of HREE relative to metasedimentary rocks. To examine difference of REEs between leucogranites and metasedimentary rocks, we perform modeling using volume percentage of a leucogranite and a metasedimenatry rock from study area and REE data of minerals from rhyolite (Nash and Crecraft, 1985) and melanosome of migmatite (Bea et al., 1994). Resultants of modeling indicate that LREE and HREE are controlled by monazites and garnet, respectively, although zircon is estimated HREE dominant in some leucogranite without garnet. Because there are many inclusions of accessary phases such as monazite and zircon in biotites from metasedimentary rocks. leucogranitic magma was mainly derived from muscovite-breakdown in metasedimenary rocks. Leucogranites can be subdivided into two types in compliance with Eu anomaly of chondrite nomalized REE pattern; the one of negative Eu anomaly is type I and the other is type II. Leucogranites have lower Eu concetnrations than that of metasedimenary rocks and similar that of both type. REE modeling suggest that this difference of Eu value is due to that of components of feldspars in both leucogranite and metasedimentary rock. The tendency of major ($K_2O$ and $Na_2O$) and face elements (Eu, Rb, Sr and Ba) of leucogranites also indicate that source magma of these two types was developed by anatexis experienced strong fractionation of alkali-feldspar. Conclusionally, leucogranites in this area are products of melts which was generated by muscovite-breakdown of metasedimenary rock in environment of continetal collision during high temperature/pressure metamorphism and then was fractionated and crystallized after extraction from source rock.