Vibration of simply-supported trapezoidal plates I. Symmetric trapezoids

A detailed investigation of the natural frequencies and mode shapes of simply supported symmetric trapezoidal plates is undertaken in this paper. For numerical calculations, the relationship that exists between the eigenvalue problem of a polygonal simply supported plate and the eigenvalue problem of polygonal membrane of the same shape is utilized with advantage. The deflection surface is expressed in terms of a Fourier sine series in transformed coordinates and the Galerkin method is used. Results are presented in the form of tables and graphs. Several features like the crossing of frequency curves and the metamorphosis of some of the nodal patterns are observed. By a suitable interpretation of the modes of those symmetric trapezoidal plates which have the median as the nodal line, the results for some of the modes of unsymmetrical trapezoidal plates are also deduced.

On self-interacting oligoribonucleotides. I. Absorption and optical rotatory dispersion of 2′-5′- and 3′-5′-oligoguanylic acids

A series of 2′-5′-oligoguanylic acids are prepared by reacting G(cyclic)p with takadiastase T1 ribonuclease and separating the products chromatographically. The 3′-5′-oligoguanylic acids are obtained by separating the products of alkaline degradation of 3′-5′-poly(G). The optical rotatory dispersion and hypochromism of both 2′-5′- and 3′-5′-oligoguanylic acids are studied at two different pH. The optical rotatory dispersion spectrum of 2′-5′-GpG is significantly different from that of 3′-5′-GpG. The magnitude of rotation of the long-wavelength peak of 2′-5′-GpG is larger than that of 3′-5′-GpG. This finding contradicts the explanation that the extra stability and more intense circular dichroism band of other 3′-5′-dinucleoside monophosphates is due to H-bond formation between 2′-OH and either the base or the phosphate oxygen. The end phosphate group has a marked effect on the spectrum of GpG between 230 and 250 mμ. In addition the optical rotatory dispersion spectra of 2′-5′ exhibit strong pH, temperature, and solvent dependence between 230 and 250 mμ. ΔH and AS for order ⇌ disorder transition is estimated to be 9.7 kcal/mole and 35.2 eu, respectively. The optical rotatory dispersion spectra of guanine-rich oligoribonucleotides, GpGpC, GpGpU, GpGpGpC, and GpGpGpU are compared to the calculated optical rotatory dispersion from the semiempirical expression of Cantor and Tinoco, using measured optical rotatory dispersion of dimers. Contrary to previous studies, agreement is found not at all satisfactory. However, optical rotatory dispersion of 3′-5′-GpGpGpC and GpGpGpU can be estimated from the semiempirical expression, if a next-nearest interaction parameter is introduced empirically. Such interaction parameter can be calculated from the measured properties of trinucleotide sequences like GpGpG, GpGpC, and GpGpU, assuming that only the nearest-neighbor interaction is important. The optical rotatory dispersion of single-stranded poly(G) is also predicted. The importance of syn-anti equilibrium and next-nearest-neighbor interaction in oligoguanylic acids is suggested as a probable explanation.

What should I think; How should I feel? : The balancing of personal experiences and social norms in the outgroup attitude formation of youth

The present study focused on the associations between the personal experiences of intergroup contact, perceived social norms and the outgroup attitudes of Finnish majority and Russian-speaking minority youth living in Finland. The theoretical background of the study was derived from Allport s (1954) theory of intergroup contact (i.e., the contact hypothesis), social psychological research on normative influences on outgroup attitudes (e.g., Rutland, 2004; Stangor and Leary, 2006) and developmental psychological research on the formation of explicit (deliberate) and implicit (automatically activated) outgroup attitudes in adolescence (e.g., Barrett, 2007; Killen, McGlothlin and Henning, 2008). The main objective of the study was to shed light on the role of perceived social norms in the formation of outgroup attitudes among adolescents. First, the study showed that perceived normative pressure to hold positive attitudes towards immigrants regulated the relationship between the explicit and implicit expression of outgroup attitudes among majority youth. Second, perceived social norms concerning outgroup attitudes (i.e., the perceived outgroup attitudes of parents and peers) affected the relationship between intergroup contact and explicit outgroup attitudes depending on gender and group status. Positive social norms seem to be especially important for majority boys, who need both pleasant contact experiences and normative support to develop outgroup attitudes that are as positive as girls attitudes. The role of social norms is accentuated also among minority youth, who, contrary to majority youth with their more powerful and independent status position, need to reflect upon their attitudes and experiences of negative intergroup encounters in relation to the experiences and attitudes of their ingroup members. Third, the results are indicative of the independent effects of social norms and intergroup anxiety on outgroup attitudes: the effect of perceived social norms on the outgroup attitudes of youth seems to be at least as strong as the effect of intergroup anxiety. Finally, it was shown that youth evaluate intergroup contact from the viewpoint of their ingroup and society as a whole, not just based on their own experiences. In conclusion, the outgroup attitudes of youth are formed in a close relationship with their social environment. On the basis of this study, the importance of perceived social norms for research on intergroup contact effects among youth cannot be overlooked. Positive normative influences have the potential to break the strong link between rare and/or negative personal contact experiences and negative outgroup attitudes, and norms also influence the relationship between implicit and explicit attitude expression.

Studies on the structure of the chromosomes - I. Allium cepa-Stain fixatives and their utility

The structure of the mitotic chromosomes of Allium cepa has been elucidated by controlling the temperature and time of exposure of fresh roots to stain fixatives. The details seen in material stained in N HCl-orcein for 8 min. at 60° C. and squashed after varying intervals of storage at room temperature were essentially similar to pictures obtained with 1% aceto-orcein and 1% aceto-orcein-N HCl (10:1) under identical conditions of handling. The chromosomes appear quadri-partite at metaphase and bi-partite at anaphase. A rare instance of the precocious assumption of a quadri-partite condition by two anaphase chromosomes is illustrated. Caduceus coiling of chromonemata was seen in chromosome bridges also. Chromosomes have material easily dissociable from the chromonemata and their removal does not affect the structural integrity of the chromosome.

Polarographic and redox potential studies on copper(I) and copper(II) and their complexes. Part III. Copper (I and II)-ethylene diamine and edta complexes and theory of formation of step reduction waves in cupric copper systems

Polarographic and redox potential measurements on the cupric and cuprous complexes of ethylenediamine and EDTA have been carried out. From the ratio of the stability constants of the cupric and cuprous complexes, and the stability constant of the cupric complex, the stability constant of the cuprous-ethylenediamine complex is obtained. In the case of the EDTA complex it has been possible to obtain only βic/β2ous from the equilibrium concentrations of the cuprous and cupric complexes and the disproportionation constant. The inequalities for the appearance of step reduction waves have been given. The values of the stability constants of the cupric and cuprous complexes determined by the polarographic-redox potential method have been used to explain the appearance of step reduction waves in some systems and the non-appearance in other systems.

Polarographic and redox potential studies on copper(I) and copper(II) and their complexes. Part I. Copper(I and II)-ammonia and methylamine complexes

The equilibrium between cuprous ion, cupric ion and metallic copper has been studied using polarographic and redox potential measurements, by reducing cupric ion with copper gauze until equilibrium. Using the well-defined anodic diffusion current plateau, an amperometric method for estimating cuprous copper based on the titration of cuprous ion with dichromate or permanganate has been developed. The diffusion current constant and the disproportionation constant of cuprous ion and the standard potential for the reduction reaction of Cu2+ → Cu+ have been determined. Polarograms have been taken after reducing cupric complexes of ammonia and methylamine with copper until equilibrium. In the case of the copper-ammonia system, reduction to the cuprous state is practically complete while in the case of the cupric-methylamine system, the first cathodic wave occurs to some extent. A new method, called the polarographic-redox potential method, for determining the stability constants of cuprous and cupric complexes has been developed. The method depends upon the determination of the concentration of complexes by polarographic wave heights, and free cupric anc cuprous ions by redox potentials. The stability constants of the following complexes have been obtained: Cu(NH3)2+4, Cu(NH3)+2, Cu(CH3NH2)2(OH)2, Cu(CH3NH2)+2. The stability constants determined by the new method and the half-wave potential shift method agree and the value for the cupric-ammonia complex is in good agreement with Bjerrum method, indicating the reliability of this method.

Free convection heat transfer from vertical cylinders part I: Power law surface temperature variation

This paper reports on the investigations of laminar free convection heat transfer from vertical cylinders and wires whose surface temperature varies along the height according to the relation TW - T∞ = Nxn. The set of boundary layer partial differential equations and the boundary conditions are transformed to a more amenable form and solved by the process of successive substitution. Numerical solutions of the first approximated equations (two-point nonlinear boundary value type of ordinary differential equations) bring about the major contribution to the problem (about 95%), as seen from the solutions of higher approximations. The results reduce to those for the isothermal case when n=0. Criteria for classifying the cylinders into three broad categories, viz., short cylinders, long cylinders and wires, have been developed. For all values of n the same criteria hold. Heat transfer correlations obtained for short cylinders (which coincide with those of flat plates) are checked with those available in the literature. Heat transfer and fluid flow correlations are developed for all the regimes.

The Raman spectra of organic compounds -Part I. Methyl, ethyl, n-propyl and n-butyl alcohols

The Raman spectra of methyl alcohol, ethyl alcohol, n-propyl alcohol and n-butyl alcohol have been recorded using λ 2537 excitation. 35, 49, 45 and 51 Raman lines respectively have been identified in the spectra of these alcohols, in addition to the rotational 'wings'. In each case, a large number of additional lines have been recorded. The existence of Raman lines with frequency shifts greater than 3800 cm.-1, first reported by Bolla in the spectrum of ethyl alcohol, has been confirmed. Similar high-frequency shift Raman lines have also been recorded in the spectrum of methyl alcohol. They have been assigned as combinations. Proper assignments have been given for the prominent Raman lines appearing in the spectra of these alcohols.

Raman spectra of single crystals of dicarboxylic acids - Part I. β-malonic acid and β-succinic acid

Raman spectra of single crystals of β-malonic acid and β-succinic acid have been photographed using λ 2536·5 radiation. 32 Raman lines have been recorded in the case of β-malonic acid. Of these 21 lines have been recorded for the first time. The three intense lattice lines at 52, 90 and 144 cm.-1 have been attributed to rotational lattice oscillations. 29 Raman lines in the case of β-succinic acid have been recorded. The entire lattice spectrum and many internal frequencies have been recorded for the first time. The three intense lattice lines at 80, 135 and 160 cm.-1 have been assigned to the rotational oscillations of the two molecules of the succinic acid in the unit cell.

Polarisation studies on the Raman spectra of cubic crystals - Part I. Sodium chlorate

neral expressions have been derived for the intensities of the three classes of Raman lines namely totally symmetric A, doubly degenerate E and triply degenerate F, in the case of cubic crystals under the following conditions. The direction of the incident beam which is polarised with its electric vector inclined at an angle α to the normal to the scattering plane makes an angle Θ with one of the cubic axes of the crystal. The transversely scattered light is analysed by a double image prism with its principal axes inclined at angle β to the normal to the scattering plane, which is horizontal. For incident unpolarised light and Θ=22 1/2°, and the scattered light being analysed by a double image prism rotated through 45° from the position when its principal axes are vertical and horizontal ρ{variant} for A lines is equal to one, for E lines >1 and for F lines <1. This gives a method of classifying the Raman lines of a cubic crystal in a single setting. The results have been experimentally verified in sodium chlorate.

Studies on nucleotide pyrophosphatase I. Partial purification and properties of a sheep liver enzyme that catalyzes the hydrolysis of dinucleotides

A partially purified sheep liver enzyme that hydrolyzed dinucleotides at the pyrophosphate bond was obtained by solubilizing the 18,000g sediment with n-butanol and fractionating the solubilized enzyme with acetone. The enzyme activity when measured using FAD as substrate, (FAD → FMN + AMP), was optimal at pH 9.7 and temperatures between 30 °–36 ° and at 60 °. The rate of release of FMN with time occurred with an initial lag of 30 sec, a linear increase for 1 min, and a subsequent irregular rate. In the presence of orthophosphate (Pi; 10 μImage ), FMN was released at an uniformly continuous and enhanced rate. 32Pi was not incorporated into the substrate or products. Sodium arsenate counteracted the effects of Pi. The apparent Km and Vmax were 0.133 mImage and 100 units; and 0.133 mImage and 200 units, in the absence and presence of Pi, respectively. The temperature optimum was 42 ° in the presence of Pi.Negative cooperative interactions observed at low concentrations of FAD were abolished by the addition of Pi. The inhibition by AMP was sigmoid and Pi abolished this sigmoidal response. The enzyme hydrolyzed in addition to FAD, NAD+ and NADP+. Nucleoside triphosphates were potent inhibitors of the enzyme activity. The partial inhibition of the enzyme by o-phenanthroline and by p-hydroxymercuribenzoate could be reversed by Fe2+ ions and by reduced glutathione, respectively.

Vaggvisor i Kvevlax : Språkliga strukturer och konstruktioner

Lullabies in Kvevlax. Linguistic structures and constructions. The study is a linguistic analysis of constructions that shape the texts used in lullabies in Kvevlax in Ostrobothnia in Finland. The empirical goal is to identify linguistic constructions in traditional lullabies that make use of the dialect of the region. The theoretical goal was to test the usability of Construction Grammar (CxG) in analyses of this type of material, and to further develop the formal description of Construction Grammar in such a way as to make it possible to analyze all kinds of linguistically complex texts. The material that I collected in the 1960s comprises approximately 600 lullabies and concomitant interviews with the singers on the use of lullabies. In 1991 I collected additional material in Kvevlax. The number of informants is close to 250. Supplementary material covering the Swedish-language regions in Finland was compiled from the archives of the Society of Swedish Literature in Finland. The first part of the study is mainly based on traditional grammar and gives general information about the language and the structures used in the lullabies. In the detailed study of the Kvevlax lullabies in the latter part of the study I use a version of Construction Grammar intended for the linguistic analysis of usage-based texts. The analysis focuses on the most salient constructions in the lullabies. The study shows that Construction Grammar as a method has more general applicability than traditional linguistic methods. The study identifies important constructions, including elements typical of this genre, that structure the text in different variants of the same lullabies. In addition, CxG made it possible to study pragmatic aspects of the interactional, cultural and contextual language that is used in communication with small children. The constructions found in lullabies are also used in language in general. In addition to being able to give detailed linguistic descriptions of the texts, Construction Grammar can also explain the multidimensionality of language and the variations in the texts. The use of CxG made it possible to show that variations are not random but follow prototypical linguistic patterns, constructions. Constructions are thus found to be linguistic resources with built-in variation potentials.

Moralpanik eller förnuftslogik - i Jokela-fallets diskursiva efterdyningar

I denna pro gradu avhandling undersöker jag Jokela-fallets diskursiva efterdyningar utgående från ett moralpanikperspektiv. Syftet är att se huruvida reaktionerna på och förklaringarna till skolmassakern i Jokela kan anses präglas av moralpanik, samt vilka andra förklaringsmodeller som präglade den omfattande Jokela-debatten. Avhandling grundar sig på en kvalitativ diskursanalys av förklaringsmodellerna så som de presenterades i opinionstexter och insändare i Helsingin Sanomat hösten 2007. Jag analyserar hur den medierade Jokela-debatten utvecklades och formade perceptionerna om skolskjutningar, ungdomar och det finländska samhällstillståndet i stort. Jokela-fallet väckte starka reaktioner och rädsla. Man försökte förstå och förklara orsakerna till skottdramat. Flera olika förklaringsmodeller presenterades i medierna; en oro över ungdomens mentala hälsa och mobbning, webbens och populärkulturens farliga inflytande, det hårdnade samhällsklimatet och en försvagad välfärd, också den bristfälliga vapenlagstiftningen kritiserades. Den gemensamma nämnaren var att Jokela-fallet uppfattades som en indikator på hela samhällets tillstånd där en gemensam värdegrund och moral håller på att erodera. Mitt teoretiska perspektiv grundar sig främst på moralpanikteorier av Stanley Cohen och Chas Critcher som jag kopplar ihop med Ulrich Becks teori om risksamhället och Emile Durkheims anomiteori. Det här speglar jag mot bland annat Hille Koskelas forskning om rädslans kultur och trygghetssamhället, samt jämför med amerikansk forskning om skolskjutningar. Jokela-debatten formades främst av två dominerande diskurser: a) en rationaliseringsdiskurs som kännetecknas av att man försöker förklara Jokela-fallet genom förnuftsmässiga och logiska resonemang genom att peka på olika samhällsaspekter, b) en risk- och kontrolldiskurs som kännetecknas av moralpaniktendenser främst i form av oro över ungdomar, internet och försvagade samhällsnormer, samt krav på ökad social kontroll och reglering för att säkra trygghet och ordning i samhället. Jokela-fallet var inte ett klassiskt moralpanikfall, men fyllde många av kriterierna för moralpanik. Jokela-debatten uttryckte en rädslans kultur som genomsyrar dagens risksamhälle och som legitimerar ökad riskhantering och social kontroll, som försvar mot de hot och problem som samhället kollektivt upplever. Det ställdes krav på mera social kontroll och reglering på grund av upplevda hot mot samhällets normer och en försvagad moral, vilket är ett uttryck för moralpanik. Jokela-fallets diskursiva efterdyningar visar att tryggheten har blivit ett moraliskt imperativ. Trygghet har blivit något vi förutsätts eftersträva och som vi är färdiga att betala ett allt högre pris för, både mätt i pengar och i frihet.