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Elastic distortional buckling of cold-formed steel Z-Beams with stiffened holes using reduced thickness

  • Nasam S. Khater;Mahmoud H. El-Boghdadi;Nashwa M. Yossef
    • Steel and Composite Structures
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    • v.51 no.3
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    • pp.225-241
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    • 2024
  • For several reasons, cold-formed steel (CFS) beams are often manufactured with holes. Nevertheless, because of holes, the reduction in the web area causes a decrease in the bending strength. Edge stiffeners are presently added around the holes to improve the bending strength of flexural members. Therefore, this research studies CFSZ-beams with stiffened holes and investigates how edge stiffener affects bending strength and failure modes. Nonlinear analysis was carried out using ABAQUS software and the developed finite element (FE) model was verified against tests from previous studies. Using the verified FE model, a parametric study of 104 FE models was conducted to investigate the influence of key parameters on bending strength of Z- sections. The results indicated that the effect of holes is less noticeable in very thin Z-sections. Moreover, adding edge stiffeners around the holes improves the flexural capacity of Z-beams and sometimes restores the original bending capacity. Because the computational techniques used to solve the CFS buckling mode with stiffened holes are still unclear, a numerical method using constrained and unconstrained finite strip method (CUFSM) software was proposed to predict the elastic distortional buckling moment for a wide variety of CFSZ-sections with stiffened holes. A numerical method with two procedures was applied and validated. Upon comparison, the numerical method accurately predicted the distortional buckling moment of CFS Z-sections with stiffened holes.

Kinetics and Mechanism of Nucleophilic Displacement Reactions of Y-Substituted Phenyl Benzoates with Z-Substituted Phenoxides

  • Min, Se-Won;Seo, Jin-A;Um, Ik-Hwan
    • Bulletin of the Korean Chemical Society
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    • v.30 no.10
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    • pp.2403-2407
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    • 2009
  • Second-order rate constants have been measured for two series of nucleophilic displacement reactions, i.e., reactions of 4-nitrophenyl benzoate with Z-substituted phenoxides and those of Y-substituted phenyl benzoates (1a-h) with 4-chlorophenoxide (4-ClPhO–) in 80 mol% $H_2O$/20 mol% DMSO at 25.0 ${\pm}\;0.1\;{^{\circ}C}$. The Br$\phi$nsted-type plot for reactions of 4-nitrophenyl benzoate with Z-substituted phenoxides exhibits an excellent linear correlation with ${\beta}_{nuc}$ = 0.72. Reactions of 1a-h with 4-chlorophenoxide result in also a linear Br$\phi$nsted-type plot with ${\beta}_{lg}$ = –0.62, a typical ${\beta}_{lg}$ value for a concerted mechanism. The Hammett plots correlated with ${\sigma}^o\;and\;{\sigma}^-$ constants show many scattered points for reactions of 1a-h with 4-chlorophenoxide. In contrast, the corresponding Yukawa-Tsuno plot exhibits an excellent linear correlation with $\rho_Y$ = 2.26 and r = 0.53, indicating that expulsion of the leaving group occurs at the rate-determining step (RDS) either in a concerted mechanism or in a stepwise pathway. However, a stepwise mechanism with leaving group departure being the RDS is excluded since the leaving Y-substituted phenoxide is less basic and a better nucleofuge than the incoming 4-ClPh$O^-$. Thus, the reactions have been concluded to proceed through a concerted mechanism, in which bond formation between the nucleophile and electrophilic center is more advanced than expulsion of the leaving group in the transition state on the basis of the magnitude of ${\beta}_{nuc}\;and\;{\beta}_{lg}$ values.

Characteristics of Non-premixed Edge Flames in a Counterflow Slot Burner

  • Cha, Min-Suk;Ronney, Paul D.
    • Journal of the Korean Society of Combustion
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    • v.10 no.4
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    • pp.33-40
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    • 2005
  • The propagation rates of advancing and retreating non-premixed edge flames in a slot-jet counterflow were measured as a function of strain rate for varying jet spacing, mixture strength, stoichiometric mixture fractions $(Z_{st})$ and Lewis numbers (Le). Methane and propane fuels were tested and nitrogen and carbon dioxide were used as inerts. As results, we could identify igniting fronts, retreating fronts, two total extinction limits, and short-length edge flames. A burner separation affected to a low extinction limit only. Regimes for advancing and retreating edges together with total extinction were mapped in terms of normalized flame thickness and heat loss factor for $CH_4/O_2/N_2$ mixtures. Edge flames for $Z_{st}$ > 0.5 behaved like a stronger mixture while for $Z_{st}$ < 0.5 showed deteriorated feature, because of relative locations of a non-premixed flame and intermediate species such as CO and $H_2$. Furthermore, due to the relative importance of heat loss, propagating speeds of edge flames were significantly enhanced in $CH_4/O_2/CO_2$ mixtures (Le < 1) demonstrating increasing stability limits. However $C_3H_8/O_2/N_2$ mixtures (Le > 1) showed opposite result.

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SCALE TRANSFORMATIONS FOR PRESENT POSITION-INDEPENDENT CONDITIONAL EXPECTATIONS

  • Cho, Dong Hyun
    • Journal of the Korean Mathematical Society
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    • v.53 no.3
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    • pp.709-723
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    • 2016
  • Let C[0, t] denote a generalized Wiener space, the space of real-valued continuous functions on the interval [0, t] and define a random vector $Z_n:C[0,t]{\rightarrow}{\mathbb{R}}^n$ by $Zn(x)=(\int_{0}^{t_1}h(s)dx(s),{\cdots},\int_{0}^{t_n}h(s)dx(s))$, where 0 < $t_1$ < ${\cdots}$ < $t_n$ < t is a partition of [0, t] and $h{\in}L_2[0,t]$ with $h{\neq}0$ a.e. In this paper we will introduce a simple formula for a generalized conditional Wiener integral on C[0, t] with the conditioning function $Z_n$ and then evaluate the generalized analytic conditional Wiener and Feynman integrals of the cylinder function $F(x)=f(\int_{0}^{t}e(s)dx(s))$ for $x{\in}C[0,t]$, where $f{\in}L_p(\mathbb{R})(1{\leq}p{\leq}{\infty})$ and e is a unit element in $L_2[0,t]$. Finally we express the generalized analytic conditional Feynman integral of F as two kinds of limits of non-conditional generalized Wiener integrals of polygonal functions and of cylinder functions using a change of scale transformation for which a normal density is the kernel. The choice of a complete orthonormal subset of $L_2[0,t]$ used in the transformation is independent of e and the conditioning function $Z_n$ does not contain the present positions of the generalized Wiener paths.

DISCOVERY OF A STRONG LENSING GALAXY EMBEDDED IN A CLUSTER AT z = 1.62

  • WONG, KENNETH C.;TRAN, KIM-VY H.;SUYU, SHERRY H.;MOMCHEVA, IVELINA G.;BRAMMER, GABRIEL B.;BRODWIN, MARK;GONZALEZ, ANTHONY H.;HALKOLA, ALEKSI;KACPRZAK, GLENN G.;KOEKEMOER, ANTON M.;PAPOVICH, CASEY J.;RUDNICK, GREGORY H.
    • Publications of The Korean Astronomical Society
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    • v.30 no.2
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    • pp.389-392
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    • 2015
  • We identify a strong lensing galaxy in the cluster IRC 0218 that is spectroscopically confirmed to be at z = 1.62, making it the highest-redshift strong lens galaxy known. The lens is one of the two brightest cluster galaxies and lenses a background source galaxy into an arc and a counterimage. With Hubble Space Telescope (HST) grism and Keck/LRIS spectroscopy, we measure the source redshift to be $z_S=2.26$. Using HST imaging, we model the lens mass distribution with an elliptical power-law profile and account for the effects of the cluster halo and nearby galaxies. The Einstein radius is $^{\theta}E=0.38^{+0.02{\prime}{\prime}}_{-0.01}$ ($3.2^{+0.2}_{-0.1}kpc$) and the total enclosed mass is $M_{tot}(<^{\theta}_E)=1.8^{+0.2}_{-0.1}{\times}10^{11}M_{\odot}$. We estimate that the cluster environment contributes ~ 10% of this total mass. Assuming a Chabrier IMF, the dark matter fraction within $^{\theta}E$ is $f^{Chab}_{DM}=0.3^{+0.1}_{-0.3}$, while a Salpeter IMF is marginally inconsistent with the enclosed mass ($f^{Salp}_{DM}=-0.3^{+0.2}_{-0.5}$).

A Study of the Structure and Thermal Property of $Cu^{2+}\;and\;NH_{4}{^+}$ Ion-Exchanged Zeolite A

  • Park, Jong-Yul;Kang, Mi-Sook;Choi, Sang-Gu;Kim, Yang;Kim, Un-Sik
    • Bulletin of the Korean Chemical Society
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    • v.15 no.5
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    • pp.341-346
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    • 1994
  • The frameworks of $(Cu(NH_3)_3OH^+)_x(NH_4^+)_{12-x}-A{\cdot} zH_2O$ which were prepared by the ion-exchange of zeolite A with ammoniac cupric nitrate solution are more stable than those of $Cu_xNa_{12-2x} -A$ obtained by the ion exchange with aqueous cupric nitrate solution are more stable than those of $Cu_xNa_{12-2x} -A$ obtained by the ion exchange with aqueous cupric nitrate solution. An energetic calculation was made on the relatively stable $(CuOH^+)_2(NH_4^+)_{10}-A{\cdot} 2H_2O$ prepared by the partial evacuation of $(Cu(NH_3)_3OH^+)_2(NH_4^+)_{10}-A{\cdot} zH_2O$. The mean stabilization energies of water, OH-, and $NH_4^+$ ions are -30.23 kcal/mol, -60.24 kcal/mol, and -16.65 kcal/mol, respectively. The results of calculation were discussed in terms of framework stability. The $(Cu(NH_3)_3OH^+)_2(NH_4^+)_{10}-A{\cdot} zH_2O$ zeolite shows two step deammoniation reactions. The first deammoniation around 210 $^{\circ}$C (third DSC peak) was attributed to the decomposition of $[Cu(NH_3)_3OH^+]$ ion and the second one around 380 $^{\circ}$C (fourth DSC peak) was ascribed to the decomposition of $NH_4^+$ ion. The activation energies of the first and second deammoniation reactions were 99.75 kJ/mol and 176.57 kJ/mol, respectively.

Purification and Characterization of Poly(3-hydroxybutyrate) Depolymerase from a Fungal Isolate, Emericellopsis minima W2

  • Rhee, Young-Ha;Kim, Do-Young;Yun, Ji-Hye;Kim, Hyung-Woo;Bae, Kyung-Sook
    • Journal of Microbiology
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    • v.40 no.2
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    • pp.129-133
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    • 2002
  • The fungus, Emericellopsis minima W2, capable of degrading poly(3-hydroxybutyrate) (PHB) was isolated from a waste water sample. Production of the PHB depolymerase from E. minima W2 (PhaZ/ sub Emi/) was significantly repressed in the presence of glucose. PhaZ/ sub Emi/ was purified by column chromatography on Octyl-Sepharose CL-4B and Sephadex G-100. The molecular mass of the PhaZ/ sub Emi/), which consisted of a single polypeptide chain, was estimated to be 48.0 kDa by SDS-PAGE and its pI vague was 4.4. The maximum activity of the PhaZ/ sub Emi/ was observed at pH 9.0 and 55$\^{C}$. It was significantly inactivated by 1mM dithiothreitol, 2mM diisopropyl fluorphosphate, 0.1mM Tween 80, and 0.1 mM Triton X-l00, but insensitive to phenylmethylsulfonyl fluoride and N-ethylmaleimide. The PhaZ/ sub Emi/ efficiently hydrolyzed PHB and its copolyester with 30 mol% 3-hydroxyvalerate, but did not act on poly(3-hydroxyoctanoate). It also hydrolyzed p-nitrophenylacetate and p-nitrophenylbutyrate but hardly affected the longer-chain forms. The main hydrolysis product of PHB was identified as a dimer of 3-hydroxybutyrate.

Synthesis and Structure of trans-Dichlorobis(diisopropylaniline) palladium(II), trans-$[Pd(NH_2-C_6H_3-2, 6-i-Pr_2)_2Cl_2]$ (trans-Dichlorobis(diisopropylaniline) palladium(II), trans-$[Pd(NH_2-C_6H_3-2, 6-i-Pr_2)_2Cl_2]$의 합성 및 구조)

  • Hye Jin Kim;Won Seok Han;Soon Won Lee
    • Korean Journal of Crystallography
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    • v.12 no.3
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    • pp.137-140
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    • 2001
  • Compound PdCl₂(Phc≡N)₂(1) reacted with 2,6-diisopropylaniline to give trans-[Pd(NH₂-C/sub 6/-H₃-2, 6-i-Pr₂)₂Cl₂] (2). Compound 2 was characterized by spectroscopy (¹H-NMR, /sup 13/C-NMR, and IR) and X-ray diffraction. Crystallographic data for 2: monoclinic space group P2₁/n, a=13.532(3) Å, b=5.749(1) Å, c=17.880(4)Å, β=103.84(2)°, Z=2, R(wR₂)=0.0466(0.1226).

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A new species of Huperzia (Lycopodiaceae) from Jeju Island, Korea: Huperzia jejuensis (한국(제주도)의 1신종: 긴다람쥐꼬리)

  • Lim, Jina;Sun, Byung-Yun
    • Korean Journal of Plant Taxonomy
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    • v.45 no.1
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    • pp.17-21
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    • 2015
  • A new species belonging to Lycopodiaceae Mirb. Huperzia Bernh. s.l. is described and illustrated: Huperzia jejuensis B.-Y. Sun & J. Lim. H. jejuensis has been considered conspecific with H. integrifolia (Matsuda) B. ${\emptyset}$llg. ex. Z. Satou, but it is clearly distinguished by the characteristics of linear-lanceolate leaves with parallel margins from the base to the mid-part, minute dentate margins from the mid-part to the end of the leaf, and cuspidate gemma apex. Because the habitat of the new species was confined to Jeju Island, 'jejuensis' was chosen as the specific epithet of the scientific name of the new taxon.

Polarographic Studies on the Kinetics of Cu(II)-thiocyanate and the Adsorption Wave of Cu(I)-thiocyanate (Polarography에 依한 Cupric-thiocyanate의 Kinetics와 Cuprous-thiocyanate의 Adsorption Wave에 關한 硏究)

  • Hwang, Jung-Euy;Chung, Chong-Jae;Son, Moo-Young;Park, Yu-Chul
    • Journal of the Korean Chemical Society
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    • v.14 no.3
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    • pp.213-219
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    • 1970
  • In the presence of hydrogen peroxide, the effects of temperature and pH to the catalytic reaction velocity of cupric -thiocyanate and the quantities of reduction products adsorbed on the D.M.E. have been studied by polarographic method. According to these experiments, the following empirical equation has been derived for the relation among temperature $T_i$, concentration of hydrogen ion $pH_i$ and adsorbed cuprous-thiocyanate in moles/$cm^2Z_{ij}$, and rate constant log$K_{ij}$ $$log\;K_{ij}=\frac{1}{T_i}\{A(pH_j)+B\}+C(pH_j)+D$$ $$Z_{ij}=\frac{1}{T_i}\{{\alpha}(pH_j)^{\frac{1}{2}}+{\beta}\}+{\gamma}(pH_j)^{\frac{1}{2}}+{\delta}$$ where, A,B,C,D and {$\alpha},{\beta},{\gamma},{\delta}$ are constants. The Calculated values by both equations are well agreed with empirical values within 8% in the error.

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