Large deflections of simply supported beams

Large deflections of simply supported beams have been studied when the trans verse loading consists of a uniformity distributed load plus a century concentrate load under the two cases, (1) the reactions are vertical. (2) the reactions are normal to the bent beam together with frictional forces. The solutions are obtained by the use of power series expansions. This method is applicable to cases of symmetrical loading in beams.

Systematic literature review: Research on Supported Playgroups

Overview This review of research conducted with supported playgroups was prepared for the Queensland Department of Education, Training and Employment (DETE). The report provides a synthesis of the research on the effectiveness of supported playgroups to improve child, parent, and community outcomes and to identify key features of supported playgroups that support effective outcomes. Supported playgroups are community-based services that provide a low intensity parenting intervention, through regular group sessions for parent-child dyads. Supported playgroups target vulnerable families who may benefit from parenting support. Supported playgroups have common goals to enhance children’s early learning and parental wellbeing. Method A search strategy was devised to identify research studies, nationally and internationally, that involved parent-child group programs for families with young children, delivered under the leadership of an employed facilitator. Academic databases and other data sources were explored for studies conducted in the period from 2004 to 2014. Summary descriptions of the research studies were developed; assessment of research methodologies was made; research evidence on the effectiveness of supported playgroups to improve child, parent, and community outcomes was identified; and comparative analyses of the implementation features of supported playgroups were completed. Findings The search strategy identified 34 research publications, reporting on 29 different programs. Twenty-six of the studies report on research conducted in Australia and eight reported on research conducted in other countries, including the United Kingdom, Canada, and the United States. Three clusters of playgroups were identified: Category 1 - Standard supported playgroups; Category 2 - Mobile playgroups; Category 3 – Supported playgroups with specific interventions. The research studies identified encompassed experimental and non-experimental research designs. The studies of standard supported playgroups and mobile playgroups were most often qualitative studies and modest in scale, in terms of the number of research participants. Experimental and quasi-experimental research designs characterised the studies identified in the category of supported playgroups with specific interventions. Overall, the research studies that were categorised as supported playgroups with specific interventions provided stronger evidence for effectiveness to improve parental behaviour in ways that are known to support children’s early developmental competence. Qualitative studies, including case studies and ethnographic research, documented important features of program delivery, such as the importance of facilitators’ interpersonal skills to positive experiences for families in the playgroups; as well as the important opportunities that the playgroups afforded to vulnerable families to reduce social isolation. Conclusions The potential for supported playgroups to improve a broad range of learning and psychosocial outcomes for children and parents was suggested by many of the research studies. However, the nature of the research designs employed means that it is not possible to conclude that there is strong evidence of the impact of supported playgroups on child, parent, and community outcomes. The qualitative studies did provide rich descriptions about the implementation processes of playgroups and also captured the variability in the delivery of the playgroups in terms of who participated, local contextual factors that impacted on the playgroup experiences, and the nature of the experiences of parents within the playgroups. Research methodologies need to be employed that address the limitations of the studies to date. This would provide more defensible evidence that supported playgroups have an impact over time on outcomes for children, families, and communities. Overall, this area of research remains relatively under-evaluated in terms of rigorous research designs. The identified research studies point to some promising research directions but do not yet enable strong claims to be made about the effectiveness of the standard playgroup or mobile playgroup models to impact on parenting outcomes. Data collected from interview and survey methodologies clearly identifies that supported playgroups are highly acceptable to families. Given the popularity of supported playgroups to engage families across diverse communities, and the reported high levels of satisfaction and benefits identified within many of the research studies, it is clear that the provision of supported playgroups is fulfilling an important community need by providing support to parents with young children. However, there is a need to strengthen the evidence base that supported playgroups are an effective early parenting intervention that improves outcomes for children, parents, and communities.

Oxides supported carbon air-electrodes for alkaline solution power devices

Porous carbon oxygen-reducing electrodes incorporated with perovskite oxide catalysts are reported. It has been possible to fabricate high-performance oxygen-reducing electrodes by introducing La0.5Sr0.5CoO3 and La0.99Sr0.01NiO3 with the activated coconut-shell charcoal; these electrodes could sustain load currents as high as 1 A cm−2 without serious degradation. A model to explain oxygen-reducing activity of these oxides has been proposed.

Generation of rotationally dominated galaxies by mergers of pressure-supported progenitors

Through the analysis of a set of numerical simulations of major mergers between initially non-rotating, pressure-supported progenitor galaxies with a range of central mass concentrations, we have shown that: (1) it is possible to generate elliptical-like galaxies, with outside one effective radius, as a result of the conversion of orbital- into internal-angular momentum; (2) the outer regions acquire part of the angular momentum first; (3) both the baryonic and the dark matter components of the remnant galaxy acquire part of the angular momentum, the relative fractions depending on the initial concentration of the merging galaxies. For this conversion to occur the initial baryonic component must be sufficiently dense and/or the encounter should take place on an orbit with high angular momentum. Systems with these hybrid properties have recently been observed through a combination of stellar absorption lines and planetary nebulae for kinematic studies of early-type galaxies. Our results are in qualitative agreement with these observations and demonstrate that even mergers composed of non rotating, pressure-supported progenitor galaxies can produce early-type galaxies with significant rotation at large radii.

The interaction of quantum dots with plasmons supported by metal waveguides

Plasmonics is a recently emerged technology that enables the compression of electromagnetic waves into miniscule metallic structures, thus enabling the focusing and routing of light on the nanoscale. Plasmonic waveguides can be used to miniaturise the size of integrated chip circuits while increasing the data transmission speed. Plasmonic waveguides are used to route the plasmons around a circuit and are a major focus of this thesis. Also, plasmons are highly sensitive to the surrounding dielectric environment. Using this property we have experimentally realised a refractive index sensor to detect refractive index change in solutions.

Natural frequencies of rectangular orthotropic plates with a pair of parallel edges simply supported

Solutions of the exact characteristic equations for the title problem derived earlier by an extension of Bolotin's asymptotic method are considered. These solutions, which correspond to flexural modes with frequency factor, R, greater than unity, are expressed in convenient forms for all combinations of clamped, simply supported and free conditions at the remaining pair of parallel edges. As in the case of uniform beams, the eigenvalues in the CC case are found to be equal to those of elastic modes in the FF case provided that the Kirchoff's shear condition at a free edge is replaced by the condition. The flexural modes with frequency factor less than unity are also investigated in detail by introducing a suitable modification in the procedure. When Poisson's ratios are not zero, it is shown that the frequency factor corresponding to the first symmetric mode in the free-free case is less than unity for all values of side ratio and rigidity ratios. In the case of one edge clamped and the other free it is found that modes with frequency factor less than unity exist for certain dimensions of the plate—a fact hitherto unrecognized in the literature.

Exact analysis of simply supported rhombic plates under uniform pressure

The simply supported rhombic plate under transverse load has received extensive attention from elasticians, applied mathematicians and engineers. All known solutions are based on approximate procedures. Now, an exact solution in a fast converging explicit series form is derived for this problem, by applying Stevenson's tentative approach with complex variables. Numerical values for the central deflexion and moments are obtained for various corner angles. The present solution provides a basis for assessing the accuracy of approximate methods for analysing problems of skew plates or domains.

Polymer supported metal complexes as catalysts for oxidation of thiosalts by molecular oxygen IV. Quaternised poly(4-vinyl pyridine) complexes with Cu2+ as template

Copper(II) complexes of quaternised poly(4-vinylpyridine) (PVP) of different degrees of quaternisation and copper content have been prepared by crosslinking the polymer with 1,2-dibromoethane in the presence of Cu2+ ion as template. The stability constant of the PVP---Cu(II) complexes is found to increase with the degree of crosslinking quaternisation of the resin, but the rate at which Cu2+ is adsorbed by the resin decreases. An optimum combination of both stability and rate can be achieved with a moderate degree (31%) of crosslinking. A kinetic study reveals that quaternisation increases significantly the catalytic activity of the complex for the oxidation of S2O2−3 by O2 compared with PVP----Cu(II) without quaternisation, but it deactivates the complex for the oxidation of both S3O2−6 and S4O2−6. The batch reactor oxidation kinetics at pH 2.16, where the rate is observed to be maximum, is well explained by the Langmuir—Hinshelwood model assuming the coordination of both O2 and thioanion to Cu(II) as a precursor to the oxidation reaction.

Natural frequencies of circumferentially truncated sector plates with simply supported straight edges

The classical Rayleigh-Ritz method in conjunction with suitable co-ordinate transformations is found to be effective for accurate estimation of natural frequencies of circumferentially truncated circular sector plates with simply supported straight edges. Numerical results are obtained for all the nine combinations of clamped, simply supported and free boundary conditions at the circular edges and presented in the form of graphs. The analysis confirms an earlier observation that the plate behaves like a long rectangular strip as the width of the plate in the radial direction becomes small.

Natural frequencies of circumferentially truncated sector plates with simply supported straight edges

The classical Rayleigh-Ritz method in conjunction with suitable co-ordinate transformations is found to be effective for accurate estimation of natural frequencies of circumferentially truncated circular sector plates with simply supported straight edges. Numerical results are obtained for all the nine combinations of clamped, simply supported and free boundary conditions at the circular edges and presented in the form of graphs. The analysis confirms an earlier observation that the plate behaves like a long rectangular strip as the width of the plate in the radial direction becomes small.

Carbon-Supported Pt-TiO2 as a Methanol-Tolerant Oxygen-Reduction Catalyst for DMFCs

Carbon-supported Pt-TiO2 (Pt-TiO2/C) catalysts with varying at. wt ratios of Pt to Ti, namely, 1:1, 2:1, and 3:1, are prepared by the sol-gel method. The electrocatalytic activity of the catalysts toward oxygen reduction reaction (ORR), both in the presence and absence of methanol, is evaluated for application in direct methanol fuel cells (DMFCs). The optimum at. wt ratio of Pt to Ti in Pt-TiO2/C is established by fuel cell polarization, linear sweep voltammetry, and cyclic voltammetry studies. Pt-TiO2/C heattreated at 750 degrees C with Pt and Ti in an at. wt ratio of 2:1 shows enhanced methanol tolerance, while maintaining high catalytic activity toward ORR. The DMFC with a Pt-TiO2/C cathode catalyst exhibits an enhanced peak power density of 180 mW/cm(2) in contrast to the 80 mW/cm(2) achieved from the DMFC with carbon-supported Pt catalyst while operating under identical conditions. Complementary data on the influence of TiO2 on the crystallinity of Pt, surface morphology, and particle size, surface oxidation states of individual constituents, and bulk and surface compositions are also obtained by powder X-ray diffraction, scanning and transmission electron microscopy, X-ray photoelectron spectroscopy, energy dispersive analysis by X-ray, and inductively coupled plasm optical emission spectrometry.