Contribuição do origami para a exploração de conteúdos de geometria no ensino básico: propostas de tarefas

A arte de dobrar papel teve origem na China no século I ou II d.C., e difundiu-se pelo Japão no século VI. Esta arte milenar tem cativado a atenção dos estudiosos ao longo de séculos. Inicialmente ligada ao culto religioso, adoptada posteriormente pelos samurais como entretenimento, é hoje mundialmente aceite como uma arte. Transmitido de mães para filhas durante gerações, foi no século XIX, pela mão do pedagogo Frõebel, introduzido no currículo escolar alemão, sendo desde então considerado por muitos como um instrumento primordial na aquisição de conhecimentos, especialmente na área a geometria e por outros um elemento básico de interdisciplinaridade. Este trabalho pretende demonstrar as potencialidades do Origami como instrumento essencial nas diversas áreas curriculares, especialmente no estudo de conceitos matemáticos, nomeadamente no âmbito da geometria e a sua inclusão no currículo escolar. O uso do Origami na sala de aula inspira curiosidade e motiva a criatividade. ABSTRACT: The art of paper folding arose in China during the first or second century A.D. By the sixth century, it had spread to Japan. This millenary art got the scientific community's attention for centuries. At the beginning, folding was associated with a ceremonial act, later on it was use by Samurais as entertainment, and today it is accepted as an art by all. Transmitted from mothers to children during generations, it was introduced by Frõebel in the German curriculum and since then has been considered by some as an instrument for teaching basic geometry and by others as essential in interdisciplinary concepts. With this work we would like to show the Origami potentialities as an instrument connecting different curriculum areas, especially in mathematics, particularly in geometry and his inclusion in education curriculum. The use of Origami in the classroom helps children to obtain and consolidate basic concepts and inspire curiosity and promote their creativity.

Material and Construction Optimization for Prevention of Premature Pavement Distress in PCC Pavements, Phase III Final Report, 2008

Mixture materials, mix design, and pavement construction are not isolated steps in the concrete paving process. Each affects the other in ways that determine overall pavement quality and long-term performance. However, equipment and procedures commonly used to test concrete materials and concrete pavements have not changed in decades, leaving gaps in our ability to understand and control the factors that determine concrete durability. The concrete paving community needs tests that will adequately characterize the materials, predict interactions, and monitor the properties of the concrete. The overall objectives of this study are (1) to evaluate conventional and new methods for testing concrete and concrete materials to prevent material and construction problems that could lead to premature concrete pavement distress and (2) to examine and refine a suite of tests that can accurately evaluate concrete pavement properties. The project included three phases. In Phase I, the research team contacted each of 16 participating states to gather information about concrete and concrete material tests. A preliminary suite of tests to ensure long-term pavement performance was developed. The tests were selected to provide useful and easy-to-interpret results that can be performed reasonably and routinely in terms of time, expertise, training, and cost. The tests examine concrete pavement properties in five focal areas critical to the long life and durability of concrete pavements: (1) workability, (2) strength development, (3) air system, (4) permeability, and (5) shrinkage. The tests were relevant at three stages in the concrete paving process: mix design, preconstruction verification, and construction quality control. In Phase II, the research team conducted field testing in each participating state to evaluate the preliminary suite of tests and demonstrate the testing technologies and procedures using local materials. A Mobile Concrete Research Lab was designed and equipped to facilitate the demonstrations. This report documents the results of the 16 state projects. Phase III refined and finalized lab and field tests based on state project test data. The results of the overall project are detailed herein. The final suite of tests is detailed in the accompanying testing guide.

Characterisation of Hydrophobic Nonfibrous Material and Its Removal From Pulp Suspension

Paperin ja kartongin kierrätys lisääntyy taloudellisten intressien ja ympäristöhygieenisten tavoitteiden takia jatkuvasti. Lisääntyvän kierrätyksen myötä myös paperin ja kartongin epäpuhtauksien määrä kasvaa, mikä huonontaa kierrätysraaka-aineen laatua. Tämän työn tarkoituksena on antaa perustietoa eräästä kartongin päällystyksessä käytettävästä hydrofobisesta materiaalista, epäpuhtaan kartongin kierrätyksestä sekä ongelmista, joita epäpuhtaan kartongin kierrätyksestä syntyy. Kierrätyskuidun fraktiointi on yksinkertainen prosessi aallotuskartongin, testilainerin ja taivekartongin valmistuksessa. Kierrätysprosessin ensisijaisia tehtäviä ovat kuidutus ja epäpuhtauksien poisto sekä näiden epäpuhtauksien vaikutusten eliminointi, jotta kierrätysmassan laatuvaatimukset täyttyvät. Lisääntynyt epäpuhtauksien määrä raaka-aineessa asettaa vaatimuksia lajitteluprosessin kehittämiseksi. Nykyaikaisilla kierrätyslaitoksilla ei pystytä käsittelemään ylettömiä määriä epäpuhtauksia. Epäpuhtaudet aiheuttavat ongelmia ajettavuuteen ja heikentävät tuotteen laatua kierrätysprosessissa. Epäpuhtauksien poistoon on olemassa useita teknisiä ratkaisuja, mutta minkään niistä ei ole todettu täysin poistavan kaikkia ongelmia. Työn kokeellisessa osassa kartongin päällystykseen käytettävää hydrofobista materiaalia analysoitiin erilaisin menetelmin. Tutkittiin myös erilaisten olosuhteiden vaikutusta tämän materiaalin poistoon.

Organizational maintenance repair parts and special tools lists : drier-mixer, bituminous-concrete material, wheel mounted, GED, 2-wheel, pneumatic tires, 3 to 10 ton per hour NSN 3895-00-832-6230, K.E. McConnaughay MDL HTD-A-67.

Includes indexes.

Direct support and general support maintenance repair parts and special tools lists : drier-mixer, bituminous-concrete material, wheel mounted, GED, 2-wheel, pneumatic tires, 30 to 10 ton per hour NSN 3895-00-832-6230.

Includes indexes.

Operator, organizational, direct support, general support, and depot maintenance manual : drier-mixer, bituminous-concrete material, wheel mounted, GED, 2 wheel, pneumatic tires, 3 to 10 ton per hr, McConnaughay model HTD-A-67, FSN 3895-832-6230.

Includes index.

Unit, direct support, and general support maintenance repair parts and special tools lists : drier-mixer, bituminous, concrete material, wheel mounted, GED, 2-wheel, pneumatic tires, 3 to 10 tons per hour (NSN 3895-00-832-6230).

"June 1992."

Influence of concrete strength and length/diameter on the axial capacity of CFT columns

This paper presents an experimental analysis of the confinement effects in steel-concrete composite columns regarding two parameters: concrete compressive strength and column slenderness. Sixteen concrete-filled steel tubular columns with circular cross section were tested under axial loading. The tested columns were filled by concrete with compressive strengths of 30, 60. 80, and 100 MPa, and had length/diameter ratios of 3, 5, 7, and 10. The experimental values of the columns` ultimate load were compared to the predictions of 4 code provisions: the Brazilian Code NBR 8800:2008, Eurocode 4 (EN 1994-1-1:2004), AINSI/AISC 360:2005, and CAN/CSA S16-01:2001. According to the results, the load capacity of the composite columns increased with increasing concrete strength and decreased with increasing length/diameter ratio. In general, the code provisions were highly accurate in the prediction of column capacity. Among them, the Brazilian Code was the most conservative, while Eurocode 4 presented the values closest to the experimental results. (C) 2009 Elsevier Ltd. All rights reserved.

Development of an injectable grout for concrete repair and strengthening

This paper deals with the coupled effect of temperature and silica fume addition on rheological, mechanical behaviour and porosity of grouts based on CEMI 42.5R, proportioned with a polycarboxylate-based high range water reducer. Preliminary tests were conducted to focus on the grout best able to fill a fibrous network since the goal of this study was to develop an optimized grout able to be injected in a mat of steel fibers for concrete strengthening. The grout composition was developed based on criteria for fresh state and hardened state properties. For a CEMI 42.5R based grout different high range water reducer dosages (0%, 0.2%, 0.4%, 0.5%, 0.7%) and silica fume (SF) dosages (0%, 2%, 4%) were tested (as replacement of cement by mass). Rheological measurements were used to investigate the effect of polycarboxylates (PCEs) and SF dosage on grout properties, particularly its workability loss, as the mix was to be injected in a matrix of steel fibers for concrete jacketing. The workability behaviour was characterized by the rheological parameters yield stress and plastic viscosity (for different grout temperatures and resting times), as well as the procedures of mini slump cone and funnel flow time. Then, further development focused only on the best grout compositions. The cement substitution by 2% of SF exhibited the best overall behaviour and was considered as the most promising compared to the others compositions tested. Concerning the fresh state analysis, a significant workability loss was detected if grout temperature increased above 35 degrees C. Below this temperature the grout presented a self-levelling behaviour and a life time equal to 45 min. In the hardened state, silica fumes increased not only the grout's porosity but also the grout's compressive strength at later ages, since the pozzolanic contribution to the compressive strength does not occur until 28 d and beyond. (C) 2012 Elsevier Ltd. All rights reserved.

Material and Construction Optimization for Prevention of Premature Pavement Distress in PCC Pavements, September 2004

The chemistry of today’s concrete mixture designs is complicated by many variables, including multiple sources of aggregate and cements and a plethora of sometimes incompatible mineral and chemical admixtures. Concrete paving has undergone significant changes in recent years as new materials have been introduced into concrete mixtures. Supplementary cementitious materials such as fly ash and ground granulated blast furnace slag are now regularly used. In addition, many new admixtures that were not even available a few years ago now have widespread usage. Adding to the complexity are construction variables such as weather, mix delivery times, finishing practices, and pavement opening schedules. Mixture materials, mix design, and pavement construction are not isolated steps in the concrete paving process. Each affects and is affected by the other in ways that determine overall pavement quality and long-term performance. Equipment and procedures commonly used to test concrete materials and concrete pavements have not changed in decades, leaving serious gaps in our ability to understand and control the factors that determine concrete durability. The concrete paving community needs tests that will adequately characterize the materials, predict interactions, and monitor the properties of the concrete.

Variations on the nutritional status of eucalypt as influenced by the genetic material and age of tree

The Diagnosis and Recommendation System (DRIS) was applied to eucalypt trees (hybrids of Eucalyptus grandis x E. urophylla) with different ages and growing under different environmental conditions for three different clones. The basic data were obtained from 1,986 trees of commercial stands cultivated in the states of Espírito Santo and south Bahia, Brazil. The DRIS indices were calculated using the Beaufils' Range formula and grouped according to the Nutrient Application Potential Response method. The objective of this paper was to evaluate the N, P and Ca status in eucalypt trees, regarding the tree ages and genetic materials. The DRIS indices discriminated differences in the nutritional status of the trees, both in relation to age and the genetic materials (clones). The results indicated that the deficiency of N and Ca tended to decrease with tree age, whereas the P deficiency tended to increase. Furthermore, of the three evaluated clones, those numbered 00014 and 00034 showed opposite trends regarding to N, P, and Ca nutrition, and the clone numbered 00021, in general, presented the highest degree of unbalanced nutrition of N, P and Ca.

NUMERICAL SIMULATION of THE BEHAVIOR of THE BEHAVIOR of REINFORCED CONCRETE BEAMS and COLUMNS BY FEM CAASTEM 2000 PROGRAM

The objective of this paper is the numerical study of the behavior of reinforced concrete beams and columns by non-linear numerical simulations. The numerical analysis is based on the finite element method implemented in CASTEM 2000. This program uses the constitutive elastoplastic perfect model for the steel, the Drucker-Prager model for the concrete and the Newton-Raphson for the solution of non-linear systems. This work concentrates on the determination of equilibrium curves to the beams and force-strain curves to the columns. The numeric responses are confronted with experimental results found in the literature in order to check there liability of the numerical analyses.

Origami: o uso como instrumento alternativo no ensino da geometria

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

Discrete element methods for asphalt concrete : development and application of user-defined microstructural models and a viscoelastic micromechanical model

As an important Civil Engineering material, asphalt concrete (AC) is commonly used to build road surfaces, airports, and parking lots. With traditional laboratory tests and theoretical equations, it is a challenge to fully understand such a random composite material. Based on the discrete element method (DEM), this research seeks to develop and implement computer models as research approaches for improving understandings of AC microstructure-based mechanics. In this research, three categories of approaches were developed or employed to simulate microstructures of AC materials, namely the randomly-generated models, the idealized models, and image-based models. The image-based models were recommended for accurately predicting AC performance, while the other models were recommended as research tools to obtain deep insight into the AC microstructure-based mechanics. A viscoelastic micromechanical model was developed to capture viscoelastic interactions within the AC microstructure. Four types of constitutive models were built to address the four categories of interactions within an AC specimen. Each of the constitutive models consists of three parts which represent three different interaction behaviors: a stiffness model (force-displace relation), a bonding model (shear and tensile strengths), and a slip model (frictional property). Three techniques were developed to reduce the computational time for AC viscoelastic simulations. It was found that the computational time was significantly reduced to days or hours from years or months for typical three-dimensional models. Dynamic modulus and creep stiffness tests were simulated and methodologies were developed to determine the viscoelastic parameters. It was found that the DE models could successfully predict dynamic modulus, phase angles, and creep stiffness in a wide range of frequencies, temperatures, and time spans. Mineral aggregate morphology characteristics (sphericity, orientation, and angularity) were studied to investigate their impacts on AC creep stiffness. It was found that aggregate characteristics significantly impact creep stiffness. Pavement responses and pavement-vehicle interactions were investigated by simulating pavement sections under a rolling wheel. It was found that wheel acceleration, steadily moving, and deceleration significantly impact contact forces. Additionally, summary and recommendations were provided in the last chapter and part of computer programming codes wree provided in the appendixes.

Materials Research for HiPER Laser Fusion Facilities: Chamber Wall, Structural Material and Final Optics

The European HiPER project aims to demonstrate commercial viability of inertial fusion energy within the following two decades. This goal requires an extensive Research &Development program on materials for different applications (e.g., first wall, structural components and final optics). In this paper we will discuss our activities in the framework of HiPER to develop materials studies for the different areas of interest. The chamber first wall will have to withstand explosions of at least 100 MJ at a repetition rate of 5-10 Hz. If direct drive targets are used, a dry wall chamber operated in vacuum is preferable. In this situation the major threat for the wall stems from ions. For reasonably low chamber radius (5-10 m) new materials based on W and C are being investigated, e.g., engineered surfaces and nanostructured materials. Structural materials will be subject to high fluxes of neutrons leading to deleterious effects, such as, swelling. Low activation advanced steels as well as new nanostructured materials are being investigated. The final optics lenses will not survive the extreme ion irradiation pulses originated in the explosions. Therefore, mitigation strategies are being investigated. In addition, efforts are being carried out in understanding optimized conditions to minimize the loss of optical properties by neutron and gamma irradiation