Pure Bending Determination of Stress-Strain Curves for an Aluminum Alloy

Size: px
Start display at page:

Download "Pure Bending Determination of Stress-Strain Curves for an Aluminum Alloy"

Transcription

1 Proceedings of the World Congress on Engineering 0 Vol III WCE 0, July 6-8, 0, London, U.K. Pure Bending Deterination of Stress-Strain Curves for an Aluinu Alloy D. Torres-Franco, G. Urriolagoitia-Sosa, G. Urriolagoitia-Calderón, L. H. Hernández-Góez, A. olina-ballinas, C. Torres-Torres, B. Roero-Ángeles Abstract. - The uniaxial tensile or copressive test provides a fundaental indication of strength and stiffness properties for a given aterial. The priary concept to characterize a aterial by axial testing is changing. Currently, there is a pure bending experiental ethod by which it is possible to obtain siultaneously tensile and copressive stress-strain curves. In this paper, it is presented a pure bending ethod to deterine the stress-strain behavior of a aterial. Results were obtained on final anufactured speciens fro Aluinu alloy 6063-T5. The advantages of this ethod are related ainly with its versatility and easy ipleentation. Besides, it deonstrates feasibility to deterine previous loading history in a coponent. Additionally it does not need extensive echanical preparation of speciens. The ethod presented is based on calculations fro the value of the bending oent and the corresponding value of the strain produced in the upper and lower surfaces of the specien. Bending experiental results were copared against axial testing. Results and the affinity derived fro the balance in stressstrain curves are satisfactory. Index Ters Analytical ethods, pure bending test and stress-strain curves T I. INTRODUCTION HE stress-strain curves are the best way to describe the echanical behavior of aterials. The ost significant property of a solid is its echanical stability. In other words the aterial resistance is strongly related with shape and size, by the application of an external agent []. The echanical properties describe how a aterial is affected by internal as well as external agents, including forces in tension, copression, ipact, fatigue, etc []. The echanical properties are very iportant for the selection of aterials with requireents that arise fro a particular use. Very suitable aterials for certain applications can be copletely useless for others jobs. Therefore, before selecting a aterial, it is iportant to anuscript received arch 07, 0; revised arch 7, 0. This wor was supported in the National Polytechnic Institute (IPN) and the National Council for Science and Technology (CONACyT). D. Torres-Franco, G. Urriolagoitia-Sosa, G. Urriolagoitia-Calderon, L.H. Hernández-Góez, A. olina-ballinas, C. Torres-Torres and B. Roero-Ángeles are with the National Polytechnic Institute in Section of Postgraduate Studies and Research, School of echanical and Electrical Engineering, building 5, nd floor, Adolfo Lopez ateos Professional Unit Zacatenco, Col. Lindavista, C.P , exico D.F., exico, phone: ; Ext.: (e-ail: hotail.co, ISBN: ISSN: (Print); ISSN: (Online) consider what will be expected fro the coponent at service. So, it is iportant to deterine which echanical properties are required at service, so that the aterial can present an appropriate response [3]. The aterials ay be characterized through tests that are standardized. Axial testing to obtain the echanical properties usually can be referred as tension and copression tests. However, in the engineering field it has been opted for a different alternative in order to deterine the aterial behavior. In this sense, bending tests provide ultiple benefits; three of the ost iportant aspects of pure bending tests are () the siultaneous deterination of the tensile and copressive curves; () the agnitude and effect of prior loading history into the aterial, and finally; (3) it is virtually unnecessary to produce a specific or standardized speciens to perfor the test [], [4]. The use of a bending test to deterine echanical properties was investigated for the first tie by Herbert in 90, who published a study showing results in ters of tensile and copressive stress strain curves of a cast Iron aterial [5]. A few years later, siilar experiental techniques were perfored by Nadai [6] and arin [3]. By 98, Laws [7] published a research on a ethod by which he calculated stress-strain curves through the data of a bending test for a coposite aterial. Results were copared against those obtained fro an axial tensile test. One year later ayville and Finnie [8] conducted a study on a bending ethod. They found the stress strain tensile and copressive behavior for three different aterials that were previously pre-strained. In recent years, Urriolagoitia-Sosa et al. [9] published a new bending ethod. It is proposed an equation to obtain siultaneously the tensile and copressive behavior in beas with strain hardening and Bauschinger effect. This procedure allows to deterine the effect on the induced residual stress field. Additionally, Schajer and An [] developed an inverse calculation for the siultaneous deterination of stress strain curves fro bending test data. They used the inverse calculation to reduce the possible error percentage found by other researchers. This paper presents an analytical ethod that is based on the bending test for providing stress strain curves related with both directions of loading (tension and copression). The coponents tested are pieces directly used by the autootive industry in exico. The results (stress-strain relationship) obtained through this new analytical approach are copared with experiental axial tensile data and copression test evidence, which validate the proposed ethod. WCE 0

2 Proceedings of the World Congress on Engineering 0 Vol III WCE 0, July 6-8, 0, London, U.K. A. Theoretical Details [9] II. ETHODOLOGY This new proposed ethod is based on the assuption that the tensile and copressive stress strain curves of a aterial have an asyetric distribution. Furtherore, it is considered that the specien has a cross section with wide b and height h, which is subjected to pure bending oent. Also, the cross section plane reains flat before and after the bending [0]. The corresponding strains and stresses at the top and botto surfaces of the speciens are given by t, c, σ t and σ c respectively. The instantaneous location of the neutral axis of the bea for the hypothetical state is assued to be at a distance h t and h c fro the tensile and copression surfaces. The total depth h, is equal to the su of h t and h c. A linear strain distribution across the depth of the specien is considered following Tiosheno s assuption. Under pure bending condition, the neutral axis is located by iposing the equilibriu condition that the total axial force vanishes. The second condition required for the solution is the equilibriu of internal and external oents. Let the strain range t, be described by a series of strain increents, j, and let the corresponding atching strain increent for c be. The strains and strain increents for given oent levels are obtained fro test data. At any given instance of loading, and considering axial equilibriu and areas under the stress strain curve on the tensile and copressive sides, the equation for the total nuber of increents is []: dissipated on the tensile side as on the copressive sides over the increent of j. Therefore (4) can be written as: ( + ) t c [ σ ( + )] Assuing that the stresses and strain at increents to - have been deterined, the tensile stress at any increent can be obtained fro (6) as: σ t jσ / t where, / ( + ) t c [ ] and ( ). Alternatively we can write it as; c + t [ ( + )] (6) (7) (8) σ (9) and by considering any two consecutive increents - and, and generalizing for tensile and copression stresses, we can write (8) as; σ σ () σ α (0) α It is possible to write the equation for equilibriu of internal and external oents as: σ + σ () t t c c Fro the linearity of strain distribution across the depth it follows that: t c (3) t c + ( ) t Therefore () can be rewritten as: ( + ) t c c [ σ + σ ] Fro (), it can be deduced that for each increent j σ σ (5) (4) This iplies equality of total strain energy stored or ISBN: ISSN: (Print); ISSN: (Online) where α t for tension stress and α c for copression stress. The (9) gives the average stresses at any increent.. The tension and copression stresses in this wor were obtained using (0) [] [3]. B. Experiental Procedure and aterial The aterial used for the experients was an alloy of Aluinu 6063-T5 [4]. Eight speciens of square cross section (.7 x.7 ) with a total length of 50 were used. Bending tests were developed on a four points configuration [0]. The specien is part of a bar used as loc lever for car s door and it was decided to siplify the proble by transforing the geoetry of the coponent into a bea. A heat treatent procedure of annealing was used to free any previous load history into the speciens. The speciens were placed into an oven and heated at 50 c for 5 inutes. Finally, the saples were slowly cooled down inside the oven. All the speciens were instruented with strain gauges (EA LZ-0 [5]) at the top and botto surfaces (Figure ). The strain gauges are extreely helpful to obtain the strain data caused by the application of the oent into the specien. The bending oent produces a siultaneous tensile and copressive deforation into the bea. The WCE 0

3 Proceedings of the World Congress on Engineering 0 Vol III WCE 0, July 6-8, 0, London, U.K. experiental bending procedure was perfored in order to collect inforation about deforations and to calculate the stress to characterize the aterial. The best anner to produce a pure bending oent by an experiental test is by the use of a four point bending rig (Figure ). the tie to apply the bending oent. Additionally, in order to reduce the possible friction between the eleents, a strip of silicone PTFE, thic was added between the seicircle indentation and the cylindrical bloc. C. Results and discussions Before bending tests were carried out, 3 tensile and 3 copressive speciens were prepared fro the sae batch of 6063-T5 aluinu alloy aterial. The speciens were annealed, and tests were perfored by following standards [6] [7]. The average tensile result obtained fro a tensile test in a for of a stress strain curve is illustrated in Figure 3. It is iportant to state, that because the aterial was annealed, its behavior was siilar in tension as in copression, so it was decided do not present the copressive stress strain curve. Fig.. The position of the gauges on the bea in Aluinu alloy. Fig. 3. Tensile results for an annealed Aluinu alloy speciens Fig.. Syste of four points of loading In order to characterize the aterial, the theoretical developent for the bending ethod was based on the assuption that a pure bending oent configuration will not produce shear stress into the specien and the bending oent will be always constant at the central section of the bea. These considerations allow describe tensile and copressive stress properties fro strain data. Figure, shows the configuration of the four-point bending rig and the set up of the specien. It is iportant to stand out that the four point rig has several circular blocs ade fro steel, which are positioned in a seicircle indentation produced in the ain blocs of the rig. The principal purpose of these cylinders is to allow free bending oveent of the specien, so no pulling will be produced at ISBN: ISSN: (Print); ISSN: (Online) Fig. 4. Four point bending procedure, strain data against oent The bending experiental procedure was perfored in a hydraulic axial achine. For each test a bending oent of 55 N was applied. The strain data obtained by the oent WCE 0

4 Proceedings of the World Congress on Engineering 0 Vol III WCE 0, July 6-8, 0, London, U.K. effect fro the bending procedure presented in this research can be observed in Figure 4. Fro the strain data collected in the bending test, it can be observed that the strain data fro the top and botto surfaces are alost identical. Fro this observation it can be concluded, that the bending procedure was perfored correctly. The annealing process erased the stress strain prior loading history in the aterial and that the stress strain curve of the coponent is virtually identical in tension and copression. It is iportant to ention that the results of these cases are the average of five bending tests. stresses) in both directions for deterining anisotropic behavior. In this sense, both tensile and copressive axial testing ought to be perfored to deterine any prior loading history, but in ost cases the cause cannot be deterined, because the preparation of the noralized speciens will add a loading history to the coponent. The new analytical ethod for deterination of the siultaneous behavior in tension and copression by a stress-strain curve can reduce the nuber of tests to be ade to fully characterize the aterial; oreover resources could be saved by the application of the bending procedure. For the bending procedure, it is also necessary to perfor at least three testing procedures for the characterization of the aterial. In any case, the entire tensile and copressive easureents ust be perfored. Additional speciens that have a flat geoetry can be tested without adding any anufacturing process. Fig. 5. Coparison of stress strain results for a 6063-T5 Aluinu alloy Figure 5 presents the results of both tests (axial tension and four point bending), showing the relation between the stress-strain curves using the bending ethod presented in this paper against the axial tensile test. It is clear that the results are alost identical between both ethods. However, there is a sall difference in the yield region between stressstrain curves, being slightly greater the yield strength found by the bending procedure. Urriolagoitias-Sosa et. al. [], [] have explained this effect as a consequence of the abrupt change in the stress strain behavior and the atheatical procedure used by the equation syste applied for this case. Nevertheless, it is clear that the bending procedure has provided an efficient ethodology to characterize the aterial, and several echanical properties can be obtained as the axial tensile test. Bending test is considered as a new ethod to deterine the echanical properties in a aterial, but it has not been noralized yet. However, it is a test that provides soe advantages and it has not been properly exploited, because ost of laboratories engaged in echanical testing consider that the tensile test is the ost efficient and correct one, which in ost of the circustances this is not so. Nonetheless, this new bending ethod can get siultaneously the properties of a aterial in tension and copression. Also it can be used to deterine possible prior loading history (hoogenous loading, strain hardening and Bauschinger effect) and non hoogeneous loading (residual III. CONCLUSION An analytical ethod for calculation tension and copression stress-strain curves exhibited during the characterization of annealed aterial bending is presented. The resulting stress-strain curves obtained fro the bending ethod applied to bea speciens closely agree when they are copared against the axial experiental procedure for all cases. This eans that the evaluation of the bending ethod with the proposed conditions was generally correctly. This ethod can be used in any case where the behavior of the stress-strain relation is an iportant issue. It is worth rearing that this technique could also be applied to a aterial with previous history. However, anticlastic effects could be a proble, since it is not possible to deterine the ultiate stress with the approach of the bending test. The ultiate stress ay be easily achieved in an axial test, due to the action of the load, where the specien starts to be narrowed, so this can be easured directly. It would be interesting to found how could be deterined the ultiate resistance by using the bending approach. ACKNOWLEDGENT The authors appreciate the econoic support and equipent provided by the National Council for Science and Technology (CONACYT) and of the National Polytechnic Institute (IPN) for this study. Also, the authors indly acnowledge the financial support fro the Institute of Science and Technology of Federal District in exico. REFERENCES [] G. S. Schajer, Y. An, Inverse calculation of uniaxial stress strain curves fro bending data, J. Eng. at. Tech, vol. 3, no. 4, pp , 009. [] G. Urriolagoitia-Sosa, J. F. Durodola and N. A. Fellows, Deterination of tensile and copressive stress strain curves fro bend tests, Appl. ech. at., -, pp , 004. [3] J. arin, echanical Behavior of Engineering aterials, Ed. London: Prentice-Hall, 96, pp. 97. [4] G. Urriolagoitia-Sosa, J. F. Durodola and N. A. Fellows, Deterination of residual stress in beas under Bauschinger effect using surface strain easureents, Strain, vol. 39, no. 4, pp , 003. ISBN: ISSN: (Print); ISSN: (Online) WCE 0

5 Proceedings of the World Congress on Engineering 0 Vol III WCE 0, July 6-8, 0, London, U.K. [5] A. Herbert, Über den Zusaenhang der Biegungselastizatät des Gusseinsens it seiner Zug-und Drucelastizatät (On the Connetion Between the Bending Deforation of Cast Iron With Its Tension and Copression Deforation), Z. Ver. Dtsch. Ing., vol. 54, pp. 39-8, 90. [6] A. Nadai, Plasticity, Ed. New Yor: c Graw Hill, 93, pp. 65. [7] V. Laws, Derivation of the Tensile Stress-Strain Curve fro Bending Data, J. at. Sci., vol. 6, pp , 98. [8] A. R. ayville and I. Finnie, Uniaxial Stress-Strain Curves fro a Bending Test, Exp. ech., vol., no. 6, pp. 97-0, 98. [9] G. Urriolagoitia-Sosa, J. F. Durodola and N. A. Fellows, A ethod for the Siultaneous Derivation of Tensile and Copressive Behavior of aterials Under Bauschinger Effect Using Bend Tests, Proc. Int. ech. Eng. Part C; J. ech. Eng. Sci., vol. 0, pp , 006. [0] N. E. Dowling, echanical Behavior of aterials, Ed. New Jersey: Prentice-Hall, 993, pp. 3. [] S. P. Tiosheno and J.. Gere, echanics of aterials, 3th ed., Ed. London: Chapan and Hall, 99, pp [] G. Urriolagoitia-Sosa, Analysis of Prior Strain History Effect on echanical Properties and Residual Stresses in Beas, PhD Thesis Oxford Brooes University, 005, pp [3] D. Torres-Franco, Design of a New echanical Test to Identify aterial Properties, Specialty Engineering Thesis, National Polytechnic Institute, exico, 007, pp [4] etals Depot, Steel, Aluinu, Stainless and Brass, etals Catalog, etals Depot, pp. 9-, 99. [5] Student anual for Strain Gage Technology, easureent Group, Bolletin 309D, easureent Group, pp. 7-3, 99. [6] BSI 000, Tensile Testing of etallic aterials; part and 4, British Standards Institution, BS EN 000- and BS EN 000-4, 990. [7] AST E9-89a, Standard Test ethods of Copression Testing of etallic aterials at Roo Teperature, AST International E9-89a, pp. -8, 000. ISBN: ISSN: (Print); ISSN: (Online) WCE 0

A Comparative Study of Tensile Properties of Two Different Grades of Stainless Steel at Different Temperatures

A Comparative Study of Tensile Properties of Two Different Grades of Stainless Steel at Different Temperatures A Coparative Study of Tensile Properties of Two Different es of Stainless Steel at Different Teperatures Haza Zafar Physics Faculty National University of Coputer and Eerging Sciences (FAST) Lahore, Pakistan

More information

Plane Trusses. Section 7: Flexibility Method - Trusses. A plane truss is defined as a twodimensional

Plane Trusses. Section 7: Flexibility Method - Trusses. A plane truss is defined as a twodimensional lane Trusses A plane truss is defined as a twodiensional fraework of straight prisatic ebers connected at their ends by frictionless hinged joints, and subjected to loads and reactions that act only at

More information

8. Spring design. Introduction. Helical Compression springs. Fig 8.1 Common Types of Springs. Fig 8.1 Common Types of Springs

8. Spring design. Introduction. Helical Compression springs. Fig 8.1 Common Types of Springs. Fig 8.1 Common Types of Springs Objectives 8. Spring design Identify, describe, and understand principles of several types of springs including helical copression springs, helical extension springs,, torsion tubes, and leaf spring systes.

More information

A magnetic Rotor to convert vacuum-energy into mechanical energy

A magnetic Rotor to convert vacuum-energy into mechanical energy A agnetic Rotor to convert vacuu-energy into echanical energy Claus W. Turtur, University of Applied Sciences Braunschweig-Wolfenbüttel Abstract Wolfenbüttel, Mai 21 2008 In previous work it was deonstrated,

More information

ALLOWABLE STRESS DESIGN OF CONCRETE MASONRY BASED ON THE 2012 IBC & 2011 MSJC. TEK 14-7C Structural (2013)

ALLOWABLE STRESS DESIGN OF CONCRETE MASONRY BASED ON THE 2012 IBC & 2011 MSJC. TEK 14-7C Structural (2013) An inforation series fro the national authority on concrete asonry technology ALLOWABLE STRESS DESIGN OF CONCRETE MASONRY BASED ON THE 2012 IBC & 2011 MSJC TEK 14-7C Structural (2013) INTRODUCTION Concrete

More information

HW 2. Q v. kt Step 1: Calculate N using one of two equivalent methods. Problem 4.2. a. To Find:

HW 2. Q v. kt Step 1: Calculate N using one of two equivalent methods. Problem 4.2. a. To Find: HW 2 Proble 4.2 a. To Find: Nuber of vacancies per cubic eter at a given teperature. b. Given: T 850 degrees C 1123 K Q v 1.08 ev/ato Density of Fe ( ρ ) 7.65 g/cc Fe toic weight of iron ( c. ssuptions:

More information

Extended-Horizon Analysis of Pressure Sensitivities for Leak Detection in Water Distribution Networks: Application to the Barcelona Network

Extended-Horizon Analysis of Pressure Sensitivities for Leak Detection in Water Distribution Networks: Application to the Barcelona Network 2013 European Control Conference (ECC) July 17-19, 2013, Zürich, Switzerland. Extended-Horizon Analysis of Pressure Sensitivities for Leak Detection in Water Distribution Networks: Application to the Barcelona

More information

PREDICTION OF MILKLINE FILL AND TRANSITION FROM STRATIFIED TO SLUG FLOW

PREDICTION OF MILKLINE FILL AND TRANSITION FROM STRATIFIED TO SLUG FLOW PREDICTION OF MILKLINE FILL AND TRANSITION FROM STRATIFIED TO SLUG FLOW ABSTRACT: by Douglas J. Reineann, Ph.D. Assistant Professor of Agricultural Engineering and Graee A. Mein, Ph.D. Visiting Professor

More information

Use of extrapolation to forecast the working capital in the mechanical engineering companies

Use of extrapolation to forecast the working capital in the mechanical engineering companies ECONTECHMOD. AN INTERNATIONAL QUARTERLY JOURNAL 2014. Vol. 1. No. 1. 23 28 Use of extrapolation to forecast the working capital in the echanical engineering copanies A. Cherep, Y. Shvets Departent of finance

More information

Quality evaluation of the model-based forecasts of implied volatility index

Quality evaluation of the model-based forecasts of implied volatility index Quality evaluation of the odel-based forecasts of iplied volatility index Katarzyna Łęczycka 1 Abstract Influence of volatility on financial arket forecasts is very high. It appears as a specific factor

More information

Experiment 2 Index of refraction of an unknown liquid --- Abbe Refractometer

Experiment 2 Index of refraction of an unknown liquid --- Abbe Refractometer Experient Index of refraction of an unknown liquid --- Abbe Refractoeter Principle: The value n ay be written in the for sin ( δ +θ ) n =. θ sin This relation provides us with one or the standard ethods

More information

Evaluating Inventory Management Performance: a Preliminary Desk-Simulation Study Based on IOC Model

Evaluating Inventory Management Performance: a Preliminary Desk-Simulation Study Based on IOC Model Evaluating Inventory Manageent Perforance: a Preliinary Desk-Siulation Study Based on IOC Model Flora Bernardel, Roberto Panizzolo, and Davide Martinazzo Abstract The focus of this study is on preliinary

More information

Fuzzy Sets in HR Management

Fuzzy Sets in HR Management Acta Polytechnica Hungarica Vol. 8, No. 3, 2011 Fuzzy Sets in HR Manageent Blanka Zeková AXIOM SW, s.r.o., 760 01 Zlín, Czech Republic blanka.zekova@sezna.cz Jana Talašová Faculty of Science, Palacký Univerzity,

More information

Physics 211: Lab Oscillations. Simple Harmonic Motion.

Physics 211: Lab Oscillations. Simple Harmonic Motion. Physics 11: Lab Oscillations. Siple Haronic Motion. Reading Assignent: Chapter 15 Introduction: As we learned in class, physical systes will undergo an oscillatory otion, when displaced fro a stable equilibriu.

More information

Method of supply chain optimization in E-commerce

Method of supply chain optimization in E-commerce MPRA Munich Personal RePEc Archive Method of supply chain optiization in E-coerce Petr Suchánek and Robert Bucki Silesian University - School of Business Adinistration, The College of Inforatics and Manageent

More information

COMBINING CRASH RECORDER AND PAIRED COMPARISON TECHNIQUE: INJURY RISK FUNCTIONS IN FRONTAL AND REAR IMPACTS WITH SPECIAL REFERENCE TO NECK INJURIES

COMBINING CRASH RECORDER AND PAIRED COMPARISON TECHNIQUE: INJURY RISK FUNCTIONS IN FRONTAL AND REAR IMPACTS WITH SPECIAL REFERENCE TO NECK INJURIES COMBINING CRASH RECORDER AND AIRED COMARISON TECHNIQUE: INJURY RISK FUNCTIONS IN FRONTAL AND REAR IMACTS WITH SECIAL REFERENCE TO NECK INJURIES Anders Kullgren, Maria Krafft Folksa Research, 66 Stockhol,

More information

ESTIMATING LIQUIDITY PREMIA IN THE SPANISH GOVERNMENT SECURITIES MARKET

ESTIMATING LIQUIDITY PREMIA IN THE SPANISH GOVERNMENT SECURITIES MARKET ESTIMATING LIQUIDITY PREMIA IN THE SPANISH GOVERNMENT SECURITIES MARKET Francisco Alonso, Roberto Blanco, Ana del Río and Alicia Sanchis Banco de España Banco de España Servicio de Estudios Docuento de

More information

Construction Economics & Finance. Module 3 Lecture-1

Construction Economics & Finance. Module 3 Lecture-1 Depreciation:- Construction Econoics & Finance Module 3 Lecture- It represents the reduction in arket value of an asset due to age, wear and tear and obsolescence. The physical deterioration of the asset

More information

ChE 203 - Physicochemical Systems Laboratory EXPERIMENT 2: SURFACE TENSION

ChE 203 - Physicochemical Systems Laboratory EXPERIMENT 2: SURFACE TENSION ChE 203 - Physicocheical Systes Laboratory EXPERIMENT 2: SURFACE TENSION Before the experient: Read the booklet carefully. Be aware of the safety issues. Object To deterine the surface tension of water

More information

Online Bagging and Boosting

Online Bagging and Boosting Abstract Bagging and boosting are two of the ost well-known enseble learning ethods due to their theoretical perforance guarantees and strong experiental results. However, these algoriths have been used

More information

( C) CLASS 10. TEMPERATURE AND ATOMS

( C) CLASS 10. TEMPERATURE AND ATOMS CLASS 10. EMPERAURE AND AOMS 10.1. INRODUCION Boyle s understanding of the pressure-volue relationship for gases occurred in the late 1600 s. he relationships between volue and teperature, and between

More information

The Velocities of Gas Molecules

The Velocities of Gas Molecules he Velocities of Gas Molecules by Flick Colean Departent of Cheistry Wellesley College Wellesley MA 8 Copyright Flick Colean 996 All rights reserved You are welcoe to use this docuent in your own classes

More information

Lecture L9 - Linear Impulse and Momentum. Collisions

Lecture L9 - Linear Impulse and Momentum. Collisions J. Peraire, S. Widnall 16.07 Dynaics Fall 009 Version.0 Lecture L9 - Linear Ipulse and Moentu. Collisions In this lecture, we will consider the equations that result fro integrating Newton s second law,

More information

The Mathematics of Pumping Water

The Mathematics of Pumping Water The Matheatics of Puping Water AECOM Design Build Civil, Mechanical Engineering INTRODUCTION Please observe the conversion of units in calculations throughout this exeplar. In any puping syste, the role

More information

Lecture L26-3D Rigid Body Dynamics: The Inertia Tensor

Lecture L26-3D Rigid Body Dynamics: The Inertia Tensor J. Peraire, S. Widnall 16.07 Dynaics Fall 008 Lecture L6-3D Rigid Body Dynaics: The Inertia Tensor Version.1 In this lecture, we will derive an expression for the angular oentu of a 3D rigid body. We shall

More information

On the Mutual Coefficient of Restitution in Two Car Collinear Collisions

On the Mutual Coefficient of Restitution in Two Car Collinear Collisions //006 On the Mutual Coefficient of Restitution in Two Car Collinear Collisions Milan Batista Uniersity of Ljubljana, Faculty of Maritie Studies and Transportation Pot poorscako 4, Sloenia, EU ilan.batista@fpp.edu

More information

Estimation of mass fraction of residual gases from cylinder pressure data and its application to modeling for SI engine

Estimation of mass fraction of residual gases from cylinder pressure data and its application to modeling for SI engine Journal of Applied Matheatics, Islaic Azad University of Lahijan, Vol.8, No.4(31), Winter 2012, pp 15-28 ISSN 2008-6083 Estiation of ass fraction of residual gases fro cylinder pressure data and its application

More information

Design, optimization and prototyping of small power transformers

Design, optimization and prototyping of small power transformers Doctoral School of Energy- and Geo-technology January 15 20, 2007. Kuressaare, Estonia Design, optiization and prototyping of sall power transforers Avo Reinap, Rando Pikner, Roan Ionikan, Karl Pärn Tallinn

More information

Calculation Method for evaluating Solar Assisted Heat Pump Systems in SAP 2009. 15 July 2013

Calculation Method for evaluating Solar Assisted Heat Pump Systems in SAP 2009. 15 July 2013 Calculation Method for evaluating Solar Assisted Heat Pup Systes in SAP 2009 15 July 2013 Page 1 of 17 1 Introduction This docuent describes how Solar Assisted Heat Pup Systes are recognised in the National

More information

COMPARISON BETWEEN THE NORMAL AND WEIBULL DISTRIBUTIONS FOR ANALYZING THE COMPRESSIVE STRENGTH OF THE CONCRETE

COMPARISON BETWEEN THE NORMAL AND WEIBULL DISTRIBUTIONS FOR ANALYZING THE COMPRESSIVE STRENGTH OF THE CONCRETE 1 COMPARISON BETWEEN THE NORMAL AND WEIBULL DISTRIBUTIONS FOR ANALYZING THE COMPRESSIVE STRENGTH OF THE CONCRETE Jorge Michael Colan 1, Paulo Eduardo Teodoro, Matheus Piazzalunga Neivock 3, Gilson Secco

More information

Salty Waters. Instructions for the activity 3. Results Worksheet 5. Class Results Sheet 7. Teacher Notes 8. Sample results. 12

Salty Waters. Instructions for the activity 3. Results Worksheet 5. Class Results Sheet 7. Teacher Notes 8. Sample results. 12 1 Salty Waters Alost all of the water on Earth is in the for of a solution containing dissolved salts. In this activity students are invited to easure the salinity of a saple of salt water. While carrying

More information

Work, Energy, Conservation of Energy

Work, Energy, Conservation of Energy This test covers Work, echanical energy, kinetic energy, potential energy (gravitational and elastic), Hooke s Law, Conservation of Energy, heat energy, conservative and non-conservative forces, with soe

More information

PERFORMANCE METRICS FOR THE IT SERVICES PORTFOLIO

PERFORMANCE METRICS FOR THE IT SERVICES PORTFOLIO Bulletin of the Transilvania University of Braşov Series I: Engineering Sciences Vol. 4 (53) No. - 0 PERFORMANCE METRICS FOR THE IT SERVICES PORTFOLIO V. CAZACU I. SZÉKELY F. SANDU 3 T. BĂLAN Abstract:

More information

International Journal of Management & Information Systems First Quarter 2012 Volume 16, Number 1

International Journal of Management & Information Systems First Quarter 2012 Volume 16, Number 1 International Journal of Manageent & Inforation Systes First Quarter 2012 Volue 16, Nuber 1 Proposal And Effectiveness Of A Highly Copelling Direct Mail Method - Establishent And Deployent Of PMOS-DM Hisatoshi

More information

Searching strategy for multi-target discovery in wireless networks

Searching strategy for multi-target discovery in wireless networks Searching strategy for ulti-target discovery in wireless networks Zhao Cheng, Wendi B. Heinzelan Departent of Electrical and Coputer Engineering University of Rochester Rochester, NY 467 (585) 75-{878,

More information

ADJUSTING FOR QUALITY CHANGE

ADJUSTING FOR QUALITY CHANGE ADJUSTING FOR QUALITY CHANGE 7 Introduction 7.1 The easureent of changes in the level of consuer prices is coplicated by the appearance and disappearance of new and old goods and services, as well as changes

More information

Insurance Spirals and the Lloyd s Market

Insurance Spirals and the Lloyd s Market Insurance Spirals and the Lloyd s Market Andrew Bain University of Glasgow Abstract This paper presents a odel of reinsurance arket spirals, and applies it to the situation that existed in the Lloyd s

More information

Analyzing Spatiotemporal Characteristics of Education Network Traffic with Flexible Multiscale Entropy

Analyzing Spatiotemporal Characteristics of Education Network Traffic with Flexible Multiscale Entropy Vol. 9, No. 5 (2016), pp.303-312 http://dx.doi.org/10.14257/ijgdc.2016.9.5.26 Analyzing Spatioteporal Characteristics of Education Network Traffic with Flexible Multiscale Entropy Chen Yang, Renjie Zhou

More information

Applying Multiple Neural Networks on Large Scale Data

Applying Multiple Neural Networks on Large Scale Data 0 International Conference on Inforation and Electronics Engineering IPCSIT vol6 (0) (0) IACSIT Press, Singapore Applying Multiple Neural Networks on Large Scale Data Kritsanatt Boonkiatpong and Sukree

More information

Chapter 5. Principles of Unsteady - State Heat Transfer

Chapter 5. Principles of Unsteady - State Heat Transfer Suppleental Material for ransport Process and Separation Process Principles hapter 5 Principles of Unsteady - State Heat ransfer In this chapter, we will study cheical processes where heat transfer is

More information

Software Quality Characteristics Tested For Mobile Application Development

Software Quality Characteristics Tested For Mobile Application Development Thesis no: MGSE-2015-02 Software Quality Characteristics Tested For Mobile Application Developent Literature Review and Epirical Survey WALEED ANWAR Faculty of Coputing Blekinge Institute of Technology

More information

Dynamic Placement for Clustered Web Applications

Dynamic Placement for Clustered Web Applications Dynaic laceent for Clustered Web Applications A. Karve, T. Kibrel, G. acifici, M. Spreitzer, M. Steinder, M. Sviridenko, and A. Tantawi IBM T.J. Watson Research Center {karve,kibrel,giovanni,spreitz,steinder,sviri,tantawi}@us.ib.co

More information

arxiv:0805.1434v1 [math.pr] 9 May 2008

arxiv:0805.1434v1 [math.pr] 9 May 2008 Degree-distribution stability of scale-free networs Zhenting Hou, Xiangxing Kong, Dinghua Shi,2, and Guanrong Chen 3 School of Matheatics, Central South University, Changsha 40083, China 2 Departent of

More information

Engineered Solutions To Help Prevent LCD Failures

Engineered Solutions To Help Prevent LCD Failures Engineered Solutions To Help Prevent LCD Failures By Bruce Chew Senior Applications Engineer E-A-R Specialty Coposites Indianapolis, Indiana ENGINEERED SOLUTIONS TO HELP PREVENT LCD FAILURES A liquid crystal

More information

Drying and Dehydration

Drying and Dehydration Drying and Dehydration Abstract. This chapter reviews basic concepts of drying and dehydration, including ass balance analyses. Equilibriu oisture content, water activity, and related paraeters are discussed.

More information

A Computer-Aided System for Melt Quality and Shrinkage Propensity Evaluation Based on the Solidification Process of Ductile Iron

A Computer-Aided System for Melt Quality and Shrinkage Propensity Evaluation Based on the Solidification Process of Ductile Iron Paper 08-008(05).pdf, Page of 5 AFS Transactions 2008 Aerican Foundry Society, Schauburg, IL USA A Coputer-Aided Syste for Melt Quality and Shrinkage Propensity Evaluation Based on the Solidification Process

More information

An Integrated Approach for Monitoring Service Level Parameters of Software-Defined Networking

An Integrated Approach for Monitoring Service Level Parameters of Software-Defined Networking International Journal of Future Generation Counication and Networking Vol. 8, No. 6 (15), pp. 197-4 http://d.doi.org/1.1457/ijfgcn.15.8.6.19 An Integrated Approach for Monitoring Service Level Paraeters

More information

Example: Suppose that we deposit $1000 in a bank account offering 3% interest, compounded monthly. How will our money grow?

Example: Suppose that we deposit $1000 in a bank account offering 3% interest, compounded monthly. How will our money grow? Finance 111 Finance We have to work with oney every day. While balancing your checkbook or calculating your onthly expenditures on espresso requires only arithetic, when we start saving, planning for retireent,

More information

Machine Learning Applications in Grid Computing

Machine Learning Applications in Grid Computing Machine Learning Applications in Grid Coputing George Cybenko, Guofei Jiang and Daniel Bilar Thayer School of Engineering Dartouth College Hanover, NH 03755, USA gvc@dartouth.edu, guofei.jiang@dartouth.edu

More information

Electric Forces between Charged Plates

Electric Forces between Charged Plates CP.1 Goals of this lab Electric Forces between Charged Plates Overview deterine the force between charged parallel plates easure the perittivity of the vacuu (ε 0 ) In this experient you will easure the

More information

An Innovate Dynamic Load Balancing Algorithm Based on Task

An Innovate Dynamic Load Balancing Algorithm Based on Task An Innovate Dynaic Load Balancing Algorith Based on Task Classification Hong-bin Wang,,a, Zhi-yi Fang, b, Guan-nan Qu,*,c, Xiao-dan Ren,d College of Coputer Science and Technology, Jilin University, Changchun

More information

CLOSED-LOOP SUPPLY CHAIN NETWORK OPTIMIZATION FOR HONG KONG CARTRIDGE RECYCLING INDUSTRY

CLOSED-LOOP SUPPLY CHAIN NETWORK OPTIMIZATION FOR HONG KONG CARTRIDGE RECYCLING INDUSTRY CLOSED-LOOP SUPPLY CHAIN NETWORK OPTIMIZATION FOR HONG KONG CARTRIDGE RECYCLING INDUSTRY Y. T. Chen Departent of Industrial and Systes Engineering Hong Kong Polytechnic University, Hong Kong yongtong.chen@connect.polyu.hk

More information

Exercise 4 INVESTIGATION OF THE ONE-DEGREE-OF-FREEDOM SYSTEM

Exercise 4 INVESTIGATION OF THE ONE-DEGREE-OF-FREEDOM SYSTEM Eercise 4 IVESTIGATIO OF THE OE-DEGREE-OF-FREEDOM SYSTEM 1. Ai of the eercise Identification of paraeters of the euation describing a one-degree-of- freedo (1 DOF) atheatical odel of the real vibrating

More information

Energy Systems Modelling: Energy flow-paths

Energy Systems Modelling: Energy flow-paths Energy Systes Modelling: Energy flow-paths Coputer tools for energy systes design have traditionally been constructed by reducing the coplexity of the underlying syste equations in an attept to lessen

More information

Modeling Parallel Applications Performance on Heterogeneous Systems

Modeling Parallel Applications Performance on Heterogeneous Systems Modeling Parallel Applications Perforance on Heterogeneous Systes Jaeela Al-Jaroodi, Nader Mohaed, Hong Jiang and David Swanson Departent of Coputer Science and Engineering University of Nebraska Lincoln

More information

Design & Execution Manual AS 500 Straight Web Steel Sheet Piles. Steel Foundation Solutions for Projects

Design & Execution Manual AS 500 Straight Web Steel Sheet Piles. Steel Foundation Solutions for Projects Design & Execution Manual AS 500 Straight Web Steel Sheet Piles Steel Foundation Solutions for Projects Table of content 1 INTRODUCTION 3 2 CHARACTERISTICS 5 2.1 Straight-web sheet piles 5 2.2 Junction

More information

Audio Engineering Society. Convention Paper. Presented at the 119th Convention 2005 October 7 10 New York, New York USA

Audio Engineering Society. Convention Paper. Presented at the 119th Convention 2005 October 7 10 New York, New York USA Audio Engineering Society Convention Paper Presented at the 119th Convention 2005 October 7 10 New York, New York USA This convention paper has been reproduced fro the authors advance anuscript, without

More information

This paper studies a rental firm that offers reusable products to price- and quality-of-service sensitive

This paper studies a rental firm that offers reusable products to price- and quality-of-service sensitive MANUFACTURING & SERVICE OPERATIONS MANAGEMENT Vol., No. 3, Suer 28, pp. 429 447 issn 523-464 eissn 526-5498 8 3 429 infors doi.287/so.7.8 28 INFORMS INFORMS holds copyright to this article and distributed

More information

AN ALGORITHM FOR REDUCING THE DIMENSION AND SIZE OF A SAMPLE FOR DATA EXPLORATION PROCEDURES

AN ALGORITHM FOR REDUCING THE DIMENSION AND SIZE OF A SAMPLE FOR DATA EXPLORATION PROCEDURES Int. J. Appl. Math. Coput. Sci., 2014, Vol. 24, No. 1, 133 149 DOI: 10.2478/acs-2014-0011 AN ALGORITHM FOR REDUCING THE DIMENSION AND SIZE OF A SAMPLE FOR DATA EXPLORATION PROCEDURES PIOTR KULCZYCKI,,

More information

The Fundamentals of Modal Testing

The Fundamentals of Modal Testing The Fundaentals of Modal Testing Application Note 243-3 Η(ω) = Σ n r=1 φ φ i j / 2 2 2 2 ( ω n - ω ) + (2ξωωn) Preface Modal analysis is defined as the study of the dynaic characteristics of a echanical

More information

Chapter 13 Simple Harmonic Motion

Chapter 13 Simple Harmonic Motion We are to adit no ore causes of natural things than such as are both true and sufficient to explain their appearances. Isaac Newton 13.1 Introduction to Periodic Motion Periodic otion is any otion that

More information

Online Appendix I: A Model of Household Bargaining with Violence. In this appendix I develop a simple model of household bargaining that

Online Appendix I: A Model of Household Bargaining with Violence. In this appendix I develop a simple model of household bargaining that Online Appendix I: A Model of Household Bargaining ith Violence In this appendix I develop a siple odel of household bargaining that incorporates violence and shos under hat assuptions an increase in oen

More information

The Research of Measuring Approach and Energy Efficiency for Hadoop Periodic Jobs

The Research of Measuring Approach and Energy Efficiency for Hadoop Periodic Jobs Send Orders for Reprints to reprints@benthascience.ae 206 The Open Fuels & Energy Science Journal, 2015, 8, 206-210 Open Access The Research of Measuring Approach and Energy Efficiency for Hadoop Periodic

More information

CRM FACTORS ASSESSMENT USING ANALYTIC HIERARCHY PROCESS

CRM FACTORS ASSESSMENT USING ANALYTIC HIERARCHY PROCESS 641 CRM FACTORS ASSESSMENT USING ANALYTIC HIERARCHY PROCESS Marketa Zajarosova 1* *Ph.D. VSB - Technical University of Ostrava, THE CZECH REPUBLIC arketa.zajarosova@vsb.cz Abstract Custoer relationship

More information

Project Evaluation Roadmap. Capital Budgeting Process. Capital Expenditure. Major Cash Flow Components. Cash Flows... COMM2501 Financial Management

Project Evaluation Roadmap. Capital Budgeting Process. Capital Expenditure. Major Cash Flow Components. Cash Flows... COMM2501 Financial Management COMM501 Financial Manageent Project Evaluation 1 (Capital Budgeting) Project Evaluation Roadap COMM501 Financial Manageent Week 7 Week 7 Project dependencies Net present value ethod Relevant cash flows

More information

F=ma From Problems and Solutions in Introductory Mechanics (Draft version, August 2014) David Morin, morin@physics.harvard.edu

F=ma From Problems and Solutions in Introductory Mechanics (Draft version, August 2014) David Morin, morin@physics.harvard.edu Chapter 4 F=a Fro Probles and Solutions in Introductory Mechanics (Draft version, August 2014) David Morin, orin@physics.harvard.edu 4.1 Introduction Newton s laws In the preceding two chapters, we dealt

More information

and that of the outgoing water is mv f

and that of the outgoing water is mv f Week 6 hoework IMPORTANT NOTE ABOUT WEBASSIGN: In the WebAssign ersions of these probles, arious details hae been changed, so that the answers will coe out differently. The ethod to find the solution is

More information

Earnings and Community College Field of Study Choice in Canada

Earnings and Community College Field of Study Choice in Canada DISCUSSION PAPER SERIES IZA DP No. 1156 Earnings and Counity College Field of Study Choice in Canada Brahi Boudarbat May 2004 Forschungsinstitut zur Zukunft der Arbeit Institute for the Study of Labor

More information

Reliability Constrained Packet-sizing for Linear Multi-hop Wireless Networks

Reliability Constrained Packet-sizing for Linear Multi-hop Wireless Networks Reliability Constrained acket-sizing for inear Multi-hop Wireless Networks Ning Wen, and Randall A. Berry Departent of Electrical Engineering and Coputer Science Northwestern University, Evanston, Illinois

More information

Invention of NFV Technique and Its Relationship with NPV

Invention of NFV Technique and Its Relationship with NPV International Journal of Innovation and Applied Studies ISSN 2028-9324 Vol. 9 No. 3 Nov. 2014, pp. 1188-1195 2014 Innovative Space of Scientific Research Journals http://www.ijias.issr-journals.org/ Invention

More information

Real Time Target Tracking with Binary Sensor Networks and Parallel Computing

Real Time Target Tracking with Binary Sensor Networks and Parallel Computing Real Tie Target Tracking with Binary Sensor Networks and Parallel Coputing Hong Lin, John Rushing, Sara J. Graves, Steve Tanner, and Evans Criswell Abstract A parallel real tie data fusion and target tracking

More information

ENZYME KINETICS: THEORY. A. Introduction

ENZYME KINETICS: THEORY. A. Introduction ENZYME INETICS: THEORY A. Introduction Enzyes are protein olecules coposed of aino acids and are anufactured by the living cell. These olecules provide energy for the organis by catalyzing various biocheical

More information

Presentation Safety Legislation and Standards

Presentation Safety Legislation and Standards levels in different discrete levels corresponding for each one to a probability of dangerous failure per hour: > > The table below gives the relationship between the perforance level (PL) and the Safety

More information

Implementation of Active Queue Management in a Combined Input and Output Queued Switch

Implementation of Active Queue Management in a Combined Input and Output Queued Switch pleentation of Active Queue Manageent in a obined nput and Output Queued Switch Bartek Wydrowski and Moshe Zukeran AR Special Research entre for Ultra-Broadband nforation Networks, EEE Departent, The University

More information

Managing Complex Network Operation with Predictive Analytics

Managing Complex Network Operation with Predictive Analytics Managing Coplex Network Operation with Predictive Analytics Zhenyu Huang, Pak Chung Wong, Patrick Mackey, Yousu Chen, Jian Ma, Kevin Schneider, and Frank L. Greitzer Pacific Northwest National Laboratory

More information

Stress Strain Relationships

Stress Strain Relationships Stress Strain Relationships Tensile Testing One basic ingredient in the study of the mechanics of deformable bodies is the resistive properties of materials. These properties relate the stresses to the

More information

Homework 8. problems: 10.40, 10.73, 11.55, 12.43

Homework 8. problems: 10.40, 10.73, 11.55, 12.43 Hoework 8 probles: 0.0, 0.7,.55,. Proble 0.0 A block of ass kg an a block of ass 6 kg are connecte by a assless strint over a pulley in the shape of a soli isk having raius R0.5 an ass M0 kg. These blocks

More information

A quantum secret ballot. Abstract

A quantum secret ballot. Abstract A quantu secret ballot Shahar Dolev and Itaar Pitowsky The Edelstein Center, Levi Building, The Hebrerw University, Givat Ra, Jerusale, Israel Boaz Tair arxiv:quant-ph/060087v 8 Mar 006 Departent of Philosophy

More information

Image restoration for a rectangular poor-pixels detector

Image restoration for a rectangular poor-pixels detector Iage restoration for a rectangular poor-pixels detector Pengcheng Wen 1, Xiangjun Wang 1, Hong Wei 2 1 State Key Laboratory of Precision Measuring Technology and Instruents, Tianjin University, China 2

More information

- 265 - Part C. Property and Casualty Insurance Companies

- 265 - Part C. Property and Casualty Insurance Companies Part C. Property and Casualty Insurance Copanies This Part discusses proposals to curtail favorable tax rules for property and casualty ("P&C") insurance copanies. The syste of reserves for unpaid losses

More information

Modelling Fine Particle Formation and Alkali Metal Deposition in BFB Combustion

Modelling Fine Particle Formation and Alkali Metal Deposition in BFB Combustion Modelling Fine Particle Foration and Alkali Metal Deposition in BFB Cobustion Jora Jokiniei and Olli Sippula University of Kuopio and VTT, Finland e-ail: jora.jokiniei@uku.fi Flae Days, Naantali 8.-9.01.009

More information

EUROMAP 46.1. Extrusion Blow Moulding Machines Determination of Machine Related Energy Efficiency Class. Version 1.0, January 2014 13 pages

EUROMAP 46.1. Extrusion Blow Moulding Machines Determination of Machine Related Energy Efficiency Class. Version 1.0, January 2014 13 pages EUROMAP 46.1 Extrusion Blow Moulding Machines Deterination of Machine Related Energy Efficiency Class Version 1.0, January 2014 13 pages This recoendation was prepared by the Technical Coission of EUROMAP.

More information

SAMPLING METHODS LEARNING OBJECTIVES

SAMPLING METHODS LEARNING OBJECTIVES 6 SAMPLING METHODS 6 Using Statistics 6-6 2 Nonprobability Sapling and Bias 6-6 Stratified Rando Sapling 6-2 6 4 Cluster Sapling 6-4 6 5 Systeatic Sapling 6-9 6 6 Nonresponse 6-2 6 7 Suary and Review of

More information

LABORATORY EXPERIMENTS TESTING OF MATERIALS

LABORATORY EXPERIMENTS TESTING OF MATERIALS LABORATORY EXPERIMENTS TESTING OF MATERIALS 1. TENSION TEST: INTRODUCTION & THEORY The tension test is the most commonly used method to evaluate the mechanical properties of metals. Its main objective

More information

Comparison of Gamma and Passive Neutron Non-Destructive Assay Total Measurement Uncertainty Using the High Efficiency Neutron Counter

Comparison of Gamma and Passive Neutron Non-Destructive Assay Total Measurement Uncertainty Using the High Efficiency Neutron Counter Coparison o Gaa and Passive Neutron Non-Destructive Assay Total Measureent Uncertainty Using the High Eiciency Neutron Counter John M. Veilleux Los Alaos National Laboratory Los Alaos, NM 87545, USA 505/667-7434

More information

Lesson 44: Acceleration, Velocity, and Period in SHM

Lesson 44: Acceleration, Velocity, and Period in SHM Lesson 44: Acceleration, Velocity, and Period in SHM Since there is a restoring force acting on objects in SHM it akes sense that the object will accelerate. In Physics 20 you are only required to explain

More information

Keywords: Three-degree of freedom, mathematical model, free vibration, axial motion, simulate.

Keywords: Three-degree of freedom, mathematical model, free vibration, axial motion, simulate. ISSN: 9-5967 ISO 900:008 Certiied International Journal o Engineering Science and Innovative Technolog (IJESIT) Volue, Issue 4, Jul 0 A Three-Degree o Freedo Matheatical Model Siulating Free Vibration

More information

Current literature supports the importance of preservation as a means for revitalizing

Current literature supports the importance of preservation as a means for revitalizing POSTLMAYR, LAUREN MICHELLE, M.F.A. Rehab Code versus the North Carolina Building Code: A Coparison of Their Application in Preservation Tax Credit Projects, 22-212 (213) Directed by Jo Rasay Leienstoll.

More information

Design, Manufacturing & Analysis of Differential Crown Gear and Pinion for MFWD Axle

Design, Manufacturing & Analysis of Differential Crown Gear and Pinion for MFWD Axle IOSR Journal of Mechanical and Civil Engineering (IOSR-JMCE) ISSN(e) : 2278-1684, ISSN(p) : 220 4X, PP : 59-66 www.iosrjournals.org Design, Manufacturing & Analysis of Differential Crown Gear and Pinion

More information

PREDICTION OF POSSIBLE CONGESTIONS IN SLA CREATION PROCESS

PREDICTION OF POSSIBLE CONGESTIONS IN SLA CREATION PROCESS PREDICTIO OF POSSIBLE COGESTIOS I SLA CREATIO PROCESS Srećko Krile University of Dubrovnik Departent of Electrical Engineering and Coputing Cira Carica 4, 20000 Dubrovnik, Croatia Tel +385 20 445-739,

More information

A Gas Law And Absolute Zero

A Gas Law And Absolute Zero A Gas Law And Absolute Zero Equipent safety goggles, DataStudio, gas bulb with pressure gauge, 10 C to +110 C theroeter, 100 C to +50 C theroeter. Caution This experient deals with aterials that are very

More information

Endogenous Credit-Card Acceptance in a Model of Precautionary Demand for Money

Endogenous Credit-Card Acceptance in a Model of Precautionary Demand for Money Endogenous Credit-Card Acceptance in a Model of Precautionary Deand for Money Adrian Masters University of Essex and SUNY Albany Luis Raúl Rodríguez-Reyes University of Essex March 24 Abstract A credit-card

More information

ELECTRIC SERVO MOTOR EQUATIONS AND TIME CONSTANTS

ELECTRIC SERVO MOTOR EQUATIONS AND TIME CONSTANTS ELECIC SEO MOO EQUAIONS AND IME CONSANS George W. Younkin, P.E. Life FELLOW IEEE Industrial Controls Consulting, Div. Bulls Eye Marketing, Inc Fond du c, Wisconsin In the analysis of electric servo drive

More information

A Gas Law And Absolute Zero Lab 11

A Gas Law And Absolute Zero Lab 11 HB 04-06-05 A Gas Law And Absolute Zero Lab 11 1 A Gas Law And Absolute Zero Lab 11 Equipent safety goggles, SWS, gas bulb with pressure gauge, 10 C to +110 C theroeter, 100 C to +50 C theroeter. Caution

More information

Air of Importance. A Study of Air Distribution Systems in Manufactured Homes

Air of Importance. A Study of Air Distribution Systems in Manufactured Homes Air of Iportance A Study of Air Distribution Systes in Manufactured Hoes A research project sponsored by: Alternative Energy Corporation Carolina Power & Light Copany New York State Energy Research and

More information

A CHAOS MODEL OF SUBHARMONIC OSCILLATIONS IN CURRENT MODE PWM BOOST CONVERTERS

A CHAOS MODEL OF SUBHARMONIC OSCILLATIONS IN CURRENT MODE PWM BOOST CONVERTERS A CHAOS MODEL OF SUBHARMONIC OSCILLATIONS IN CURRENT MODE PWM BOOST CONVERTERS Isaac Zafrany and Sa BenYaakov Departent of Electrical and Coputer Engineering BenGurion University of the Negev P. O. Box

More information

An online sulfur monitoring system can improve process balance sheets

An online sulfur monitoring system can improve process balance sheets Originally appeared in: February 2007, pgs 109-116. Used with perission. An online sulfur onitoring syste can iprove process balance sheets A Canadian gas processor used this technology to eet environental

More information

6. Time (or Space) Series Analysis

6. Time (or Space) Series Analysis ATM 55 otes: Tie Series Analysis - Section 6a Page 8 6. Tie (or Space) Series Analysis In this chapter we will consider soe coon aspects of tie series analysis including autocorrelation, statistical prediction,

More information

An improved TF-IDF approach for text classification *

An improved TF-IDF approach for text classification * Zhang et al. / J Zheiang Univ SCI 2005 6A(1:49-55 49 Journal of Zheiang University SCIECE ISS 1009-3095 http://www.zu.edu.cn/zus E-ail: zus@zu.edu.cn An iproved TF-IDF approach for text classification

More information

Study on the development of statistical data on the European security technological and industrial base

Study on the development of statistical data on the European security technological and industrial base Study on the developent of statistical data on the European security technological and industrial base Security Sector Survey Analysis: France Client: European Coission DG Migration and Hoe Affairs Brussels,

More information