Preliminary study for implementations of long lasting flexible road pavements in Romania

Size: px
Start display at page:

Download "Preliminary study for implementations of long lasting flexible road pavements in Romania"

Transcription

1 WSEAS TRASACTIOS on EVIROMET and DEVELOPMET Peliminay study fo implementations of long lasting flexible oad pavements in Romania ADREI RADU, IOA TAASELE, ELEA PUSLAU,, Faculty of Civil Engineeing, Technical Univesity Gh. Asachi Iasi, Bvd. Dimitie Mangeon, Iasi ROMAIA Abstact: - The actual flexible pavements designed accoding the existing noms ae leading usually to ovedesigned stuctues because of the lowe values fo the elastic modulus of the asphalt mateials, specified in the existing noms. Afte a shot intoduction, pesenting the geneal pinciples of flexible pavements design, the concepts of long lasting flexible pavements is consideed in detail. Then a new eseach pogam, involving Acceleating Loading Test-ALT undetaken in paallel with the expeiments development on the existing oad netwok, is poposed to the attention of the oad policy decisions factos in this county. This eseach poject, suppoted by specific design assumptions and calculations is taking into consideations the specific soil, climatic and taffic conditions of the oad netwok in Romania. Finally a discussion of the esults obtained with this new study is made. Key-Wods: - Long lasting flexible pavements, acceleating loading test - ALT, stuctual design, design methods, design taffic. Intoduction As a new membe of Euopean Community, Romania is making significant effots to integate his tanspot infastuctue in the huge Euopean oad netwok. These effots ae focusing on ehabilitation and modeniation of the existing oad netwok and its development by using new moden and efficient methods fo stuctual design in paallel with the implementation of new constuction technologies. Ou eseach is dedicated mainly to the assimilation and the development, in the specific taffic and climatic conditions of Romania chaacteied by vey sevee wintes and vey hot summes, of the new concept of long lasting pavements, especially fo the constuctions of the new oads and motoways. The actual flexible pavements designed accoding the existing noms [] ae usually leading to ovedesigned stuctues because of the lowe values fo the elastic module of the asphalt mateials specified in the existing noms. The total thickness of classical pavement stuctues, cuently used fo impotant motoway pojects in this county, is cuently eaching significant values anging fom 7 to 9 cm. In compaison with these taditional pactices the long lasting flexible pavements LLFP, conceived on new pinciples and involving the use of high quality mateials such as stone matix asphalt SMA [] ae leading to thinne and in the same time moe duable pavements. Hee follows some typical example of LLFP stuctues envisaged to be studied on the Acceleating Testing Facility ALT-LIRA [] existing in the fame of Technical Univesity Gh. Asachi Iasi (see Fig.). Fig. The ALT cicula tack facility of Technical Univesity Gh. Asachi Iasi [] In ode to evaluate the pefomance of these new long lasting flexible pavements, in compaison with the classical ones, the following expeiment (see Fig.) involving the acceleating testing of a set of six distinct pavement sectos, including thee witness classical ones (secto o., o. & o.) and othe thee LLFP sectos (o., o. & o.) constucted in accodance with the new LLFP concept which is envisaged to be ealied in the nea futue on the ALT-LIRA facility. Taffic of 0 and 0 million standad axle loads of k have been consideed in the design of the new ISS: Issue 9, Volume, Septembe 00

2 WSEAS TRASACTIOS on EVIROMET and DEVELOPMET LLFP and also of the witness secto o., with the diffeence that the design life of the LLFP stuctues was consideed of 0 yeas instead of yeas, used fo the taditional stuctue. - Classical pavement stuctue cuently used o. - The new long lasting pavements LLP o. - Classical pavement stuctue cuently used o. - The new long lasting pavements LLP o. - Classical pavement stuctue cuently used o. - The new long lasting pavements LLP o. Fig. Expeimental sectos envisaged to be tested on the ALT cicula tack facility Fo long lasting pavements to be viable, they must pefom fom the pespectives of both engineeing and economic consideation. Designing against stuctual defects, pope mateials selection, good constuction pactices, and scheduling esufacing activities to maintain the functionality of the pavement ae the pimay engineeing concens fo pefomance []. Efficient design, low maintenance ehabilitation costs, and long pavement life will ensue the economy of the pavement. In accodance with long lasting pavement concept, it is necessay to peiodically monito the pavement condition to identify suface distesses and to ensue they do not futhe pogess into the stuctue than the top few cm of the pavement. Thus, distesses such as top-down fatigue cacking, themal cacking, utting, and suface wea can be confined only to the weaing couse by timely esufacing. Thee ae a numbe of case histoies [] that suppot the idea that thick, well-constucted asphalt pavements have distesses extending no deepe than thei sufaces. The futue wok involves the constuction of the envisaged expeimental sectos on the cicula tack of the ALT facility of Technical Univesity of Iasi, paallel with the constuction of simila expeimental sectos on a eal motoway selected on the existing public oad netwok, followed by monitoing thei pefomances in time and the dafting of specific technical ecommendations fo the design and constuctions of LLFP. Stuctual design of flexible pavements In this study two types of pavement stuctue have been consideed, a classical one and a Long Lasting Flexible Pavement conceived accoding the pincipals mentioned above. This design study has been conducted accoding the Romanian nom PD 77/00 which is based on simultaneously obsevance of the following citeia: the admissible tensile stain at the bottom of the bituminous layes; the admissible compession stain at the subgade level; the admissible tensile stain at the bottom of the laye of natual aggegates stabilied with hydaulic o poolan bindes This analytical design method involves the establishing of a specific oad pavement stuctue and veification of the loading conditions of pavement, unde the design taffic and also fost veifications. The following input data ae necessay fo the design: stuctue and intensity of taffic and thei evolution; the geotechnical chaacteistics of the subgade; the hydological egime of the oad pavement (type of coss section, the way of ainfall wates dainage, possibilities of dainage, level of gound wate).. Conception and design of classical/witness ALT sectos The expeimental oad secto envisaged fo study was consideed to be located in a climatic egion type I, having coss sections in embankment with a maximum height of.00 m, the subgade soil being a P type accoding []. In this hypothesis, and consideing thee categoies of design taffic expessed in million standad axles (m.s.a.), namely: 0, 0 and espectively 0 m.s.a., the following pavement stuctues have been studied: a) Classical pavement cuently used Type (Design taffic: 0 m.s.a.) Table. The pavement stuctue selected fo the design Laye ame h, cm E, MPa Weaing couse (MASF /SMA) 000* 0,* Binde couse (B.A.D. ) 00* 0,* Bituminous base - AB 000* 0,* Ballast stabilied with cement 0 000** 0,** Ballast Foundation *** 0,7*** /Soil Type - P 80 0, ote, accoding []: * Item..; ** Item..; *** Item..; Design pogam to compute stesses and stains in pavement stuctue Caldeom 000 Secto - Input paametes: Load... Pessue tie Radius cicle 7.0 k 0. MPa 7. cm Laye : Module 9. MPa, Poisson Coeff..0, Thickness 0.0 cm Laye : Module 000. MPa, Poisson Coeff..0, Thickness.0 cm ISS: Issue 9, Volume, Septembe 00

3 WSEAS TRASACTIOS on EVIROMET and DEVELOPMET Laye : Module 000. MPa, Poisson Coeff..0, Thickness 0.0 cm Laye : Module 9. MPa, Poisson Coeff..70, Thickness.0 cm Laye : Module 80. MPa, Poisson Coeff..0 it is semifinit - Classical pavement stuctue cuently used o. REZULTS: R Z Radial effot Radial defom. Vetical defom. cm cm MPa micodef micodef E+00.90E E E-0.90E+0 -.E E+00.88E+0 -.8E E-0.88E+0 -.9E E-0.78E+0 -.E E-0.78E E+0 Weaing couse - MASF Binde couse - BAD Bituminouse base - AB Ballast stabilied with cement Foundation - Ballast Assessment of behavio of the pavement stuctue unde taffic loading The admissible numbe loading of standad axle of k în m.s.a., which may be taken of the bituminouse layes, coesponding to stain condition at thei bottom accoding [] point 7...a is calculated with the elation (): 8,97,7 0,9 ( m. s. a.),() Checking the RDO condition fo the poposed stuctual design consideing RDO admisibil max. 0.8 fo motoways and expess oads, accoding []: c RDO RDO( 0,8) RDOadmisibil ( 0,80),() Veifications of the hoiontal tensile stess at the bottom of laye(s) of natual aggegates stabilied with hydaulic o poolan bindes, in MPa accoding [] using elations: = R t (0,0-0,0 log c) = 0,8,() (0,07) (0,8),() Veifications of the vetical stain at the level of subgade accoding [] using elations: 0,7. 9 c 77( mico stains),() ( 77) 77,(). As all design citeia ae satisfied the following pavement stuctue is poposed at this stage of design: Fig. Poposed expeimental sectos on the ALT cicula tack facility. Secto b) Classical pavement cuently used Type (Design taffic: 0 m.s.a.) Table. The pavement stuctue selected fo the design Laye ame h, cm E, MPa Weaing couse (MASF /SMA) 000* 0,* Binde couse (B.A.D. ) 0 00* 0,* Bituminous base - AB 000* 0,* Ballast stabilied with cement 0 000** 0,** Ballast Foundation *** 0,7*** /Soil Type - P 80 0, ote, accoding []: * Item..; ** Item..; *** Item.. Design pogam to compute stesses and stains in pavement stuctue Caldeom 000 Secto - Input paametes: Load... Pessue tie Radius cicle 7.0 k 0. MPa 7. cm Laye : Module. MPa, Poisson Coeff..0, Thickness.0 cm Laye : Module 000. MPa, Poisson Coeff..0, Thickness.0 cm Laye : Module 000. MPa, Poisson Coeff..0, Thickness 0.0 cm Laye : Module. MPa, Poisson Coeff..70, Thickness.0 cm Laye : Module 80. MPa, Poisson Coeff..0 it is semifinit RESULTS: R Z Radial effot Radial defom. Vetical defom. cm cm MPa micodef micodef e+00.e E E-0.E+0 -.0E E-0.E+0 -.E E-0.E+0 -.E E-0.E+0 -.7E E-0.E+0 -.E+0 Assessment of behavio of the pavement stuctue unde taffic loading The admissible numbe loading of standad axle of k în m.s.a., which may be taken of the bituminouse layes, coesponding to stain condition at thei bottom accoding [] point 7...a is calculated with the elation (7): ISS: Issue 9, Volume, Septembe 00

4 WSEAS TRASACTIOS on EVIROMET and DEVELOPMET 8,97,7 0,87 ( m. s. a.),(7) Checking the RDO condition fo the poposed stuctual design consideing RDO admisibil max. 0.8 max 0.80 fo motoways and expess oads, accoding []: c RDO RDO( 0,8) RDOadmisibil ( 0,80),(8) This condition is satisfied. Veifications of the hoiontal tensile stess at the bottom of laye(s) of natual aggegates stabilied with hydaulic o poolan bindes, in MPa accoding [] using elations: = R t (0,0-0,0 log c)=0,07,(9) (0,08) (0,07),(0) Veifications of the vetical stain at the level of subgade accoding [] using elations: 0,7. 9 c ( mico stains),() ( ),(). As all design citeia ae satisfied the following pavement stuctue is poposed at this stage of design: - Classical pavement stuctue cuently used o. Weaing couse - MASF Binde couse - BAD Bituminouse base - AB Ballast stabilied with cement Foundation - Ballast Table. The pavement stuctue selected fo the design Laye ame h, cm E, MPa Weaing couse (MASF /SMA) 000* 0,* Binde couse (B.A.D. ) 0 00* 0,* Bituminous base - AB 000* 0,* Ballast stabilied with cement 0 000** 0,** Ballast Foundation *** 0,7*** /Soil Type - P 80 0, ote, accoding []: * Item..; ** Item..; *** Item.. Design pogam to compute stesses and stains in pavement stuctue Caldeom 000 Secto - Input paametes: Load... Pessue tie Radius cicle 7.0 k 0. MPa 7. cm Laye : Module 9.MPa, Poisson Coeff..0, Thickness.0 cm Laye : Module 000.MPa, Poisson Coeff..0, Thickness.0 cm Laye : Module 000.MPa, Poisson Coeff..0, Thickness 0.0 cm Laye : Module 9.MPa, Poisson Coeff..70, Thickness.0 cm Laye : Module 80.MPa, Poisson Coeff..0 it is semifinit RESULTS: R Z Radial effot Radial defom. Vetical defom. cm cm MPa micodef micodef e+00.98e E E-0.98E+0 -.7E E-0.07E E E-0.07E+0 -.0E E-0.0E E E-0.0E+0 -.0E+0 Assessment of behavio of the pavement stuctue unde taffic loading The admissible numbe loading of standad axle of k în m.s.a., which may be taken of the bituminouse layes, coesponding to stain condition at thei bottom accoding [] point 7...a is calculated with the elation (): 8,97 adm.,7 0 78,0( m. s. a.),() Checking the RDO condition fo the poposed stuctual design consideing RDO admisibil max. 0.8 max 0.80 fo motoways and expess oads, accoding []: c RDO RDO( 0,77) RDOadmisibil ( 0,80),() Fig. Poposed expeimental sectos on the ALT Cicula tack facility. Secto c) Classical pavement cuently used Type (Design taffic: 0 m.s.a.) Veifications of the hoiontal tensile stess at the bottom of laye(s) of natual aggegates stabilied with hydaulic o poolan bindes, in MPa accoding [] using elations: = R t (0,0-0,0 log c) = 0,00,() (0,0) (0,00),() ISS: Issue 9, Volume, Septembe 00

5 WSEAS TRASACTIOS on EVIROMET and DEVELOPMET Veifications of the vetical stain at the level of subgade accoding [] using elations: 0,7. 9 c 09( mico stains),(7) ( 0) 09,(8). As all design citeia ae satisfied the following pavement stuctue is poposed at this stage of design: - Classical pavement stuctue cuently used o. Weaing couse - MASF Binde couse - BAD Bituminouse base - AB Ballast stabilied with cement Design pogam to compute stesses and stains in pavement stuctue Caldeom 000 Secto - Input paametes: Load k Pessue tie 0. MPa Radius cicle 7. cm Laye : Module MPa, Poisson Coeff..0, Thickness.0 cm Laye : Module 000. MPa, Poisson Coeff..0, Thickness.0 cm Laye : Module MPa, Poisson Coeff..0, Thickness.0 cm Laye : Module 9. MPa, Poisson Coeff..70, Thickness.0 cm Laye : Module 80. MPa, Poisson Coeff..0 it is semifinit RESULTS: R Z Radial effot Radial defom. Vetical defom. cm cm MPa micodef micodef E+00.E+0 -.8E E-0.E+0 -.E E-0.E E E-0.E+0 -.E+0 Assessment of behavio of the pavement stuctue unde taffic loading Foundation - Ballast Fig.8 Poposed expeimental sectos on the ALT cicula tack facility. Secto. Conception and design of Long Lasting Flexible Pavement - LLFP ALT sectos The oad secto envisaged fo the study of classical pavements has been consideed but the design was conducted fo same thee highe categoies of taffic, namely: 0, 0 and espectively 0 m.s.a. The following LLFP pavement sectos have been conceived and veified accoding PD pocedues: a`) The new long lasting pavement Type LLFP Secto (design taffic: 0 m.s.a.) Table 7. The pavement stuctue selected fo the design Laye ame h, cm E, MPa Uppe (Weaing) couse (MASF /SMA) 7000* 0,* Medium Compession Resistance couse (Asphaltic Macadam) 000* 0,* Lowe Tensile Resistance couse (MASF 8/SMA) 7000* 0,* Ballast Subbase 9*** 0,7*** /Soil Type - P 80 0, ote, accoding []: * Item..; ** Item..; *** Item.. The admissible numbe loading of standad axle of k în m.s.a., which may be taken of the bituminouse layes, coesponding to stain condition at thei bottom accoding [] point 7...a is calculated with the elation (9): 8,97,7 0 7,9( m. s. a.),(9) Checking the RDO condition fo the poposed stuctual design consideing RDO admisibil max. 0.8 max 0.80 fo motoways and expess oads, accoding []: c RDO RDO( 0,) RDOadmisibil ( 0,80),(0) Veifications of the vetical stain at the level of subgade accoding [] using elations: 0,7. 9 c 7( mico stains),() ( ) 7,(). As both design citeia ae satisfied the following pavement stuctue is poposed at this stage of design: ISS: Issue 9, Volume, Septembe 00

6 WSEAS TRASACTIOS on EVIROMET and DEVELOPMET - The new long lasting pavements LLP o. with the elation (): Weaing couse - SMA Resistence couse Resistence couse - SMA Subbase - ballast 8,97,7 0,8( m. s. a.),() Checking the RDO condition fo the poposed stuctual design consideing RDO admisibil max. 0.8 max 0.80 fo motoways and expess oads, accoding []: c RDO RDO( 0,7) RDOadmisibil ( 0,80),() Fig. 0 Poposed expeimental sectos on the ALT cicula tack facility. Secto b ) The new long lasting pavement Type LLFP Secto (design taffic: 0 m.s.a.) Table 9. The pavement stuctue selected fo the design Laye ame h, cm E, MPa Uppe (Weaing) couse (MASF /SMA) 7000* 0,* Medium Compession Resistance couse (Asphaltic Macadam) 0 000* 0,* Lowe Tensile Resistance couse (MASF 8/SMA) 7000* 0,* Ballast Subbase 0 08*** 0,7*** /Soil Type - P 80 0, ote, accoding []: * Item..; ** Item..; ***; Item..; Design pogam to compute stesses and stains in pavement stuctue Caldeom 000 Secto - Input paametes: Load... Pessue tie Radius cicle 7.0 k 0. MPa 7. cm Laye : Module MPa, Poisson Coeff..0, Thickness.0 cm Laye : Module 000. MPa, Poisson Coeff..0, Thickness 0.0 cm Laye : Module MPa, Poisson Coeff..0, Thickness.0 cm Laye : Module 9. MPa, Poisson Coeff..70, Thickness 0.0 cm Laye : Module 80. MPa, Poisson Coeff..0 it is semifinit RESULTS: R Z Radial effot Radial defom. Vetical defom. cm cm MPa micodef micodef e+00.e+0 -.9E E-0.E+0 -.E E-0.E+0 -.E E-0.E+0 -.0E+0 Assessment of behavio of the pavement stuctue unde taffic loading The admissible numbe loading of standad axle of k în m.s.a., which may be taken of the bituminouse layes, coesponding to stain condition at thei bottom accoding [] point 7...a is calculated Veifications of the vetical stain at the level of subgade accoding [] using elations: 0,7. 9 c 09( mico stains),() ( 0) 09,(). As both design citeia ae satisfied the following pavement stuctue is poposed at this stage of design: - The new long lasting pavements LLP o. Weaing couse - SMA Resistence couse Resistence couse - SMA Subbase - ballast Fig. Poposed expeimental sectos on the ALT cicula tack facility. Secto c ) The new long lasting pavement Type LLFP - Secto (design taffic: 0 m.s.a.) Table. The pavement stuctue selected fo the design Laye ame h, cm E, MPa Uppe (Weaing) couse (MASF /SMA) 7000* 0,* Medium Compession Resistance couse (Asphaltic Macadam) 0 000* 0,* Lowe Tensile Resistance couse (MASF 8/SMA) 7000* 0,* Ballast Subbase 0*** 0,7*** /Soil Type - P 80 0, ote, accoding []: * Item..;** Item..; *** Item.. ISS: Issue 9, Volume, Septembe 00

7 WSEAS TRASACTIOS on EVIROMET and DEVELOPMET Design pogam to compute stesses and stains in pavement stuctue Caldeom The new long lasting pavements LLP o. Secto - Input paametes: Load... Pessue tie Radius cicle 7.0 k 0. MPa 7. cm Laye : Module MPa, Poisson Coeff..0, Thickness.0 cm Laye : Module 000. MPa, Poisson Coeff..0, Thickness 0.0 cm Laye : Module MPa, Poisson Coeff..0, Thickness.0 cm Laye : Module 9. MPa, Poisson Coeff..70, Thickness.0 cm Laye : Module 80. MPa, Poisson Coeff..0 it is semifinit RESULTS: R Z Radial effot Radial defom Vetical defom cm cm MPa micodef micodef e+00.7e+0 -.7E E-0.7E+0 -.E E-0.E+0 -.0E E-0.E E+0 Assessment of behavio of the pavement stuctue unde taffic loading The admissible numbe loading of standad axle of k în m.s.a., which may be taken of the bituminouse layes, coesponding to stain condition at thei bottom accoding [] point 7...a is calculated with the elation (7): 8,97 adm.,7 0 7,9( m. s. a.),(7) Checking the RDO condition fo the poposed stuctual design consideing RDO admisibil max. 0.8 max 0.80 fo motoways and expess oads, accoding []: c RDO RDO( 0,7) RDOadmisibil ( 0,80),(8) Veifications of the vetical stain at the level of subgade accoding [] using elations: 0,7. 9 c 90( mico stains),(9) ( 87,9) 90,(0). As both design citeia ae satisfied the following pavement stuctue is poposed at this stage of design: Weaing couse - SMA Resistence couse Resistence couse - SMA Subbase - ballast Fig. Poposed expeimental sectos on the ALT cicula tack facility. Secto Checking the fost esistance of the Classical/LLFP pavements a ) Fost esistance veifications fo Classical Secto The pavement stuctue was design as wey to esist at feee and thaw accoding [],[],[7] soil type: P Hydological egime: Level of undegound wate af : 00 cm Depth of feeing: 70 cm Depth at fost in the new pavement: foundation ballast laye: cm Ballast stabilied with cement: 0 cm Bituminous base - AB: cm binde couse type B.A.D. : cm weaing couse type MASF : cm Zc Z Z 9 cm,() Z = 70 depth feee of subgade (accoding [] fig. pag.) Z HSR Hech. cm,() H SR = thickness of pavements stuctue H SR = 70 cm H ech = equivalent thickness calculation to feee (accoding [] Chapte..) H ech =cmx0,70+0cmx0,+cmx0,0+cmx0, 0+cmx0,0 =, cm ISS: Issue 9, Volume, Septembe 00

8 WSEAS TRASACTIOS on EVIROMET and DEVELOPMET Index of feee is I /0 med = 70 (accoding [] fig., pag.7) H SR < Z c < af 70 < 9 < 00 cm (hydological conditions unfavoable, land vey sensitive) equies veification fo feee (accoding [] pag., tab.) K ef = Hech/Zc =/9 = 0, > 0,0 (accoding [] table, pag. ) the poposed pavement stuctue satisfied the feee-thaw conditions. b ) Fost esistance veifications fo LLFP - Secto The pavement stuctue was design as way to esist at feee and thaw accoding [], [], and [7] soil type: P Hydological egime: Level of undegound wate af : 00 cm Depth of feeing: 70 cm Depth at fost in the new pavement: Uppe (Weaing) couse (MASF /SMA): cm Medium Compession Resistance couse (Asphaltic Macadam): cm Lowe Tensile Resistance couse (MASF 8/SMA): cm Ballast Subbase: cm Z Z Z 9 cm,() c Z = 70 depth feee of subgade (accoding [] fig. pag.) Z HSR Hech. cm,() H SR = thickness of pavements stuctue H SR = 0 cm H ech = equivalent thickness calculation to feee (accoding [] Chapte..) H ech =cm x 0,70 + cm x 0,0 + cm x 0,0 + cm x 0,0 =7, 8cm Index of feee is I med /0 = 70 [] H SR < Z c < af 0 < 9 < 00 cm (hydological conditions unfavoable, land vey sensitive) equies veification fo feee [] K ef = Hech/Zc =8/9 = 0, > 0, 0 [] the poposed pavement stuctue satisfied the feee-thaw conditions. c ) Fost esistance veifications fo Classical - Secto The pavement stuctue was design as wey to esist at feee and thaw accoding [],[],[7] soil type: P Hydological egime: Level of undegound wate af : 00 cm Depth of feeing: 70 cm Depth at fost in the new pavement: foundation ballast laye: cm Ballast stabilied with cement: 0 cm Bituminous base - AB: cm binde couse type B.A.D. : 0 cm weaing couse type MASF : cm Zc Z Z 0 cm,() Z = 70 depth feee of subgade (accoding [] fig. pag.) Z HSR Hech. cm,() H SR = thickness of pavements stuctue H SR = 70 cm H ech = equivalent thickness calculation to feee (accoding [] Chapte..) H ech =cmx0,7+0cmx0,+cmx0,0+0cmx0, 0+cmx0,0 cm Index of feee is I /0 med = 70 (accoding [] fig., pag.7) H SR < Z c < af 8 < 0 < 00 cm (hydological conditions unfavoable, land vey sensitive) equies veification fo feee (accoding [] pag., tab.) K ef = Hech/Zc =/9 = 0, > 0,0 (accoding [] table, pag. ) the poposed pavement stuctue satisfied the feee-thaw conditions. d ) Fost esistance veifications fo LLFP - Secto The pavement stuctue was design as way to esist at feee and thaw accoding [], [], and [7] soil type: P Hydological egime: Level of undegound wate af : 00 cm Depth of feeing: 70 cm ISS: Issue 9, Volume, Septembe 00

9 WSEAS TRASACTIOS on EVIROMET and DEVELOPMET Depth at fost in the new pavement: Uppe (Weaing) couse (MASF /SMA): cm Medium Compession Resistance couse (Asphaltic Macadam): cm Lowe Tensile Resistance couse (MASF 8/SMA): cm Ballast Subbase: cm Z Z Z 9 cm,(7) c Z = 70 depth feee of subgade [] Z HSR Hech. cm,(8) H SR = thickness of pavements stuctue H SR = 70 cm H ech = equivalent thickness calculation to feee [] H ech =0cm x 0,70 + cm x 0,0 + 0cm x 0,0 + cm x 0,0 =cm Index of feee is I med /0 = 70 [] H SR < Z c < af 70 < 9 < 00 cm (hydological conditions unfavoable, land vey sensitive) equies veification fo feee [] K ef = Hech/Zc =/9 = 0, > 0, 0 [] the poposed pavement stuctue satisfied the feee-thaw conditions. e ) Fost esistance veifications fo Classical - Secto The pavement stuctue was design as wey to esist at feee and thaw accoding [],[],[7] soil type: P Hydological egime: Level of undegound wate af : 00 cm Depth of feeing: 70 cm Depth at fost in the new pavement: foundation ballast laye: cm Ballast stabilied with cement: 0 cm Bituminous base - AB: cm binde couse type B.A.D. : 0 cm weaing couse type MASF : cm Zc Z Z 0 cm,(9) Z = 70 depth feee of subgade (accoding [] fig. pag.) Z HSR Hech. cm,(0) H SR = thickness of pavements stuctue H SR = 70 cm H ech = equivalent thickness calculation to feee (accoding [] Chapte..) H ech =cmx0,7+0cmx0,+cmx0,0+0cm x0,0+cmx0,0 =0cm Index of feee is I /0 med = 70 (accoding [] fig., pag.7) H SR < Z c < af 9 < 0 < 00 cm (hydological conditions unfavoable, land vey sensitive) equies veification fo feee (accoding [] pag., tab.) K ef = Hech/Zc =0/0 = 0,7 > 0,0 (accoding [] table, pag. ) the poposed pavement stuctue satisfied the feee-thaw conditions. f ) Fost esistance veifications fo LLFP - Secto The pavement stuctue was design as way to esist at feee and thaw accoding [], [], and [7] soil type: P Hydological egime: Level of undegound wate af : 00 cm Depth of feeing: 70 cm Depth at fost in the new pavement: Uppe (Weaing) couse (MASF /SMA): cm Medium Compession Resistance couse (Asphaltic Macadam): cm Lowe Tensile Resistance couse (MASF 8/SMA): cm Ballast Subbase: cm Zc Z Z 00 cm,() Z = 70 depth feee of subgade (accoding [] fig. pag.) Z HSR Hech. 0 cm,() H SR = thickness of pavements stuctue H SR = 8 cm H ech = equivalent thickness calculation to feee (accoding [] Chapte..) H ech =cm x 0,7+cm x 0,0 + 0cm x 0,0 + cm x 0,0 =, cm Index of feee is I /0 med = 70 (accoding [] fig., pag.7) H SR < Z c < af 8 < 00 < 00 cm (hydological conditions unfavoable, land vey sensitive) equies veification fo feee (accoding [] pag., tab.) ISS: Issue 9, Volume, Septembe 00

10 WSEAS TRASACTIOS on EVIROMET and DEVELOPMET K ef = Hech/Zc =/00 = 0, > 0, 0 (accoding [] table, peg. ) the poposed pavement stuctue satisfied the feee-thaw conditions. PDG [8] o the actual UK Highway Agency method. Conclusions The final synthetic esults of the compaative study of both classical and LLFP pavements ae pesented in Table : Table. The final synthetic esults of the compaative study of both classical and LLFP pavements Classical pavement stuctue Laye Weaing couse (MASF /SMA) Binde couse (B.A.D. ) Bituminous base - AB 0 Design Taffic Ballast stabilied with cement Foundation P Total thickness (cm) Long lasting pavement stuctue Laye Uppe (Weaing) couse (MASF /SMA) Medium Compession Resistance couse (Asphaltic Macadam) Lowe Tensile Resistance couse (MASF 8/SMA) Design Taffic Ballast Subbase 0 /Soil Type P Total thickness (cm) In elation with the esults pesented in Table 7 the following conclusions could be discussed:. By using asphalt mateials with highe elasticity modulus value (e.g. E= MPa), and disposing them accoding the LLFP concept, it is possible to constuct flexible pavement stuctues with total thicknesses lowe than those of classical/witness ones, but capable to suppot consideable highe design taffics.. These new stuctues poved also to be fost esistant when checked accoding the Romanian standads [], [], [7].. This eseach execise will be extended in the nea futue, by consideing a paallel design appoach using the actual Romanian nom and the new methods, specially developed in the fame of the Asphalt Pavement Alliance [] and also some othe moden stuctual design methods, like Mechanistic-Empiic Pavement Design Guide ME- Futue wok Based on existing knowledge[9],[0] and latest developments in this field [],[],[], the futue wok intends the constuction of the envisaged expeimental sectos on the cicula tack of the ALT facility of Technical Univesity of Iasi, paallel with the constuction of simila expeimental sectos, selected on the existing public oad netwok, followed by monitoing thei pefomances in time and the dafting of specific technical ecommendations fo the design and constuctions of LLFP. Refeences: [] Romanian Doc. PD Recommendation fo the design of flexible and composite pavements, 00 [] Andei R.& othes, Technical ecommendation fo the asphalt mixes stabilied with cellulose fibes, AD [] Andei R., Options on LLRP expeimental sectos intended to be constucted and tested on the ALT cicula tack facility of Technical Univesity Gh. Asachi Iasi, STREP FP poject, 009. []Asphalt Pavement Alliance, [] Vlad., STAS 709/-90, Fost depth in pavement oad [] Vlad., STAS 709/-90, Pevention and epaation of fost-thaw damages 990. [7] Vlad., STAS 709/-90, Detemination of sensitivity to fost of the soil Method of test, 990. [8] ational Highway Institute, Intoduction to Mechanistic- Empiical Design of ew and Rehabilitated Pavements, 00. [9] R. Andei & othes: Climatic and ecological aspects of stuctual design of Long Lasting Rigid Pavements LLRP fo demonstation pojects located in diffeent Euopean egions, ISS: , ISB: , 00. [0] Montalvo, J., & othes : A ew Ecological Pavement Fo Enhancement Of Uban Envionments, WSEAS intenational confeence on enegy, envionment, ecosystems and sustainable development, July -, 00 [] Rajab M & othes, Application Of Image Pocessing To measue oad distesses WSEAS tansactions on infomation science & applications volume, 008 [] Kau D., Soft Computing Technique In Pediction Of Pavement Condition, th WSEAS int. confeence on computational intelligence, man-machine systems and cybenetics, Teneife, Spain, Decembe -, 007 [] Shandi H. T., & othes, Using Multi Laye Pecepton etwok to Classify Road Cacks, Poceedings of the th WSEAS int. conf. on neual netwoks ISS: Issue 9, Volume, Septembe 00

Proceedings of the 11th WSEAS International Conference on Automatic Control, Modelling and Simulation

Proceedings of the 11th WSEAS International Conference on Automatic Control, Modelling and Simulation Tempeatue measuement in contact pantogaph - AC contact line Constantin-Floin OCOLEANU *, Ioan POPA *, Gheoghe MANOLEA **, Alin-Iulian DOLAN * Electical Appaatus and Technologies *, Electomechanical **

More information

STUDY ON 2-D SHOCK WAVE PRESSURE MODEL IN MICRO SCALE LASER SHOCK PEENING

STUDY ON 2-D SHOCK WAVE PRESSURE MODEL IN MICRO SCALE LASER SHOCK PEENING Study Rev. Adv. on -D Mate. shock Sci. wave 33 (13) pessue 111-118 model in mico scale lase shock peening 111 STUDY ON -D SHOCK WAVE PRESSURE MODEL IN MICRO SCALE LASER SHOCK PEENING Y.J. Fan 1, J.Z. Zhou,

More information

Identification of the degradation of railway ballast under a concrete sleeper

Identification of the degradation of railway ballast under a concrete sleeper Identification of the degadation of ailway ballast unde a concete sleepe Qin Hu 1) and Heung Fai Lam ) 1), ) Depatment of Civil and Achitectual Engineeing, City Univesity of Hong Kong, Hong Kong SAR, China.

More information

INFLUENCE OF GROUND INHOMOGENEITY ON WIND INDUCED GROUND VIBRATIONS. Abstract

INFLUENCE OF GROUND INHOMOGENEITY ON WIND INDUCED GROUND VIBRATIONS. Abstract INFLUENCE OF GROUND INHOMOGENEITY ON WIND INDUCED GROUND VIBRATIONS Mohammad Mohammadi, National Cente fo Physical Acoustics, Univesity of Mississippi, MS Caig J. Hicey, National Cente fo Physical Acoustics,

More information

LINEAR AND NONLINEAR ANALYSES OF A WIND-TUNNEL BALANCE

LINEAR AND NONLINEAR ANALYSES OF A WIND-TUNNEL BALANCE LINEAR AND NONLINEAR ANALYSES O A WIND-TUNNEL INTRODUCTION BALANCE R. Kakehabadi and R. D. Rhew NASA LaRC, Hampton, VA The NASA Langley Reseach Cente (LaRC) has been designing stain-gauge balances fo utilization

More information

A scaling-up methodology for co-rotating twin-screw extruders

A scaling-up methodology for co-rotating twin-screw extruders A scaling-up methodology fo co-otating twin-scew extudes A. Gaspa-Cunha, J. A. Covas Institute fo Polymes and Composites/I3N, Univesity of Minho, Guimaães 4800-058, Potugal Abstact. Scaling-up of co-otating

More information

Determining solar characteristics using planetary data

Determining solar characteristics using planetary data Detemining sola chaacteistics using planetay data Intoduction The Sun is a G-type main sequence sta at the cente of the Sola System aound which the planets, including ou Eath, obit. In this investigation

More information

Analytical Solutions for Confined Aquifers with non constant Pumping using Computer Algebra

Analytical Solutions for Confined Aquifers with non constant Pumping using Computer Algebra Poceedings of the 006 IASME/SEAS Int. Conf. on ate Resouces, Hydaulics & Hydology, Chalkida, Geece, May -3, 006 (pp7-) Analytical Solutions fo Confined Aquifes with non constant Pumping using Compute Algeba

More information

Diffusion and Transport. 10. Friction and the Langevin Equation. Langevin Equation. f d. f ext. f () t f () t. Then Newton s second law is ma f f f t.

Diffusion and Transport. 10. Friction and the Langevin Equation. Langevin Equation. f d. f ext. f () t f () t. Then Newton s second law is ma f f f t. Diffusion and Tanspot 10. Fiction and the Langevin Equation Now let s elate the phenomena of ownian motion and diffusion to the concept of fiction, i.e., the esistance to movement that the paticle in the

More information

ELASTIC ANALYSIS OF CIRCULAR SANDWICH PLATES WITH FGM FACE-SHEETS

ELASTIC ANALYSIS OF CIRCULAR SANDWICH PLATES WITH FGM FACE-SHEETS THE 9 TH INTERNATIONAL CONFERENCE ON COMPOSITE MATERIALS ELASTIC ANALYSIS OF CIRCULAR SANDWICH PLATES WITH FGM FACE-SHEETS R. Sbulati *, S. R. Atashipou Depatment of Civil, Chemical and Envionmental Engineeing,

More information

Pearson s Chi-Square Test Modifications for Comparison of Unweighted and Weighted Histograms and Two Weighted Histograms

Pearson s Chi-Square Test Modifications for Comparison of Unweighted and Weighted Histograms and Two Weighted Histograms Peason s Chi-Squae Test Modifications fo Compaison of Unweighted and Weighted Histogams and Two Weighted Histogams Univesity of Akueyi, Bogi, v/noduslód, IS-6 Akueyi, Iceland E-mail: nikolai@unak.is Two

More information

Hydroelastic Analysis of a 1900 TEU Container Ship Using Finite Element and Boundary Element Methods

Hydroelastic Analysis of a 1900 TEU Container Ship Using Finite Element and Boundary Element Methods TEAM 2007, Sept. 10-13, 2007,Yokohama, Japan Hydoelastic Analysis of a 1900 TEU Containe Ship Using Finite Element and Bounday Element Methods Ahmet Egin 1)*, Levent Kaydıhan 2) and Bahadı Uğulu 3) 1)

More information

Prediction of Motion Trajectories Based on Markov Chains

Prediction of Motion Trajectories Based on Markov Chains 2011 Intenational Confeence on Compute Science and Infomation Technology (ICCSIT 2011) IPCSIT vol. 51 (2012) (2012) IACSIT Pess, Singapoe DOI: 10.7763/IPCSIT.2012.V51.50 Pediction of Motion Tajectoies

More information

Liquid gas interface under hydrostatic pressure

Liquid gas interface under hydrostatic pressure Advances in Fluid Mechanics IX 5 Liquid gas inteface unde hydostatic pessue A. Gajewski Bialystok Univesity of Technology, Faculty of Civil Engineeing and Envionmental Engineeing, Depatment of Heat Engineeing,

More information

Title. Author(s)Y. IMAI; T. TSUJII; S. MOROOKA; K. NOMURA. Issue Date Doc URL. Type. Note. File Information

Title. Author(s)Y. IMAI; T. TSUJII; S. MOROOKA; K. NOMURA. Issue Date Doc URL. Type. Note. File Information Title CALCULATION FORULAS OF DESIGN BENDING OENTS ON TH APPLICATION OF THE SAFETY-ARGIN FRO RC STANDARD TO Autho(s)Y. IAI; T. TSUJII; S. OROOKA; K. NOURA Issue Date 013-09-1 Doc URL http://hdl.handle.net/115/538

More information

GENERAL NOTES FOR THE YODOCK 2001M WITH STEEL RAIL KIT DESIGN NOTES FOR THE YODOCK 2001M WITH STEEL RAIL KIT 1.

GENERAL NOTES FOR THE YODOCK 2001M WITH STEEL RAIL KIT DESIGN NOTES FOR THE YODOCK 2001M WITH STEEL RAIL KIT 1. GENEAL NOTES FO THE YODOCK 2001M WITH STEEL AIL KIT 1. 2. 3. 4. 5. 6. 7. 8. 9. THE LONGITUDINAL TAFFIC BAIE SYSTEMS PESENTED ON THIS STANDAD DAWING (INDEX) AND THE LABEL YODOCK AE POPIETAY DESIGNS BY YODOCK

More information

GENERAL NOTES FOR THE YODOCK 2001 WITH STEEL RAIL KIT DESIGN NOTES FOR THE YODOCK 2001 WITH STEEL RAIL KIT

GENERAL NOTES FOR THE YODOCK 2001 WITH STEEL RAIL KIT DESIGN NOTES FOR THE YODOCK 2001 WITH STEEL RAIL KIT GENEAL NOTES FO THE YODOCK 2001 WITH STEEL AIL KIT 1. 2. 3. 4. 5. 6. 7. 8. THE LONGITUDINAL TAFFIC BAIE SYSTEMS PESENTED ON THIS STANDAD DAWING (INDEX) AND THE LABEL YODOCK AE POPIETAY DESIGNS BY THE YODOCK

More information

Safety variations in steel designed using Eurocode 3

Safety variations in steel designed using Eurocode 3 JCSS Wokshop on eliability Based Code Calibation Safety vaiations in steel designed using Euocode 3 Mike Byfield Canfield Univesity Swindon, SN6 8LA, UK David Nethecot Impeial College London SW7 2BU, UK

More information

Duality between Statical and Kinematical Engineering Systems

Duality between Statical and Kinematical Engineering Systems Pape 00, Civil-Comp Ltd., Stiling, Scotland Poceedings of the Sixth Intenational Confeence on Computational Stuctues Technology, B.H.V. Topping and Z. Bittna (Editos), Civil-Comp Pess, Stiling, Scotland.

More information

Light Time Delay and Apparent Position

Light Time Delay and Apparent Position Light Time Delay and ppaent Position nalytical Gaphics, Inc. www.agi.com info@agi.com 610.981.8000 800.220.4785 Contents Intoduction... 3 Computing Light Time Delay... 3 Tansmission fom to... 4 Reception

More information

Recent Advances in Chemical Engineering, Biochemistry and Computational Chemistry

Recent Advances in Chemical Engineering, Biochemistry and Computational Chemistry Themal Conductivity of Oganic Liquids: a New Equation DI NICOLA GIOVANNI*, CIARROCCHI ELEONORA, PIERANTOZZI ARIANO, STRYJEK ROAN 1 DIIS, Univesità Politecnica delle ache, 60131 Ancona, ITALY *coesponding

More information

IN SITU SOUND ABSORPTION COEFFICIENT MEASUREMENT OF VARIOUS SURFACES

IN SITU SOUND ABSORPTION COEFFICIENT MEASUREMENT OF VARIOUS SURFACES IN SITU SOUND ABSORPTION COEFFICIENT MEASUREMENT OF VARIOUS SURFACES PACS REFERENCES : 43.20.El, 43.20.Ye, 43.55.Ev, 43.58.Bh Michel Béengie 1 ; Massimo Gaai 2 1 Laboatoie Cental des Ponts et Chaussées

More information

Surveillance Points in High Dimensional Spaces

Surveillance Points in High Dimensional Spaces Société de Calcul Mathématique SA Tools fo decision help since 995 Suveillance Points in High Dimensional Spaces by Benad Beauzamy Januay 06 Abstact Let us conside any compute softwae, elying upon a lage

More information

Effects of Fines on Undrained Behaviour of Sands. Misko Cubrinovski 1 and Sean Rees 2

Effects of Fines on Undrained Behaviour of Sands. Misko Cubrinovski 1 and Sean Rees 2 Effects of Fines on Undained Behaviou of Sands Misko Cubinovski 1 and Sean Rees 2 1 Associate Pofesso, Depatment of Civil and Natual Resouces Engineeing, Univesity of Cantebuy, New Zealand; misko.cubinovski@cantebuy.ac.nz

More information

I. Introduction to ecological populations, life tables, and population growth models

I. Introduction to ecological populations, life tables, and population growth models 3-1 Population ecology Lab 3: Population life tables I. Intoduction to ecological populations, life tables, and population gowth models This week we begin a new unit on population ecology. A population

More information

SIMULAITION AND ANALYSIS OF PROCESS-INDUCED DISTORTIONS FOR COMPOSITE STRUCTURES

SIMULAITION AND ANALYSIS OF PROCESS-INDUCED DISTORTIONS FOR COMPOSITE STRUCTURES 21 st Intenational Confeence on Composite Mateials Xi an, 20-25 th August 2017 SIMULAITION AND ANALYSIS OF PROCESS-INDUCED DISTORTIONS FOR COMPOSITE STRUCTURES LIU Kai *1, ZHANG Boming 1, YE Jinui 1, Tang

More information

Application of homotopy perturbation method to the Navier-Stokes equations in cylindrical coordinates

Application of homotopy perturbation method to the Navier-Stokes equations in cylindrical coordinates Computational Ecology and Softwae 5 5(): 9-5 Aticle Application of homotopy petubation method to the Navie-Stokes equations in cylindical coodinates H. A. Wahab Anwa Jamal Saia Bhatti Muhammad Naeem Muhammad

More information

A NEW VARIABLE STIFFNESS SPRING USING A PRESTRESSED MECHANISM

A NEW VARIABLE STIFFNESS SPRING USING A PRESTRESSED MECHANISM Poceedings of the ASME 2010 Intenational Design Engineeing Technical Confeences & Computes and Infomation in Engineeing Confeence IDETC/CIE 2010 August 15-18, 2010, Monteal, Quebec, Canada DETC2010-28496

More information

Using Laplace Transform to Evaluate Improper Integrals Chii-Huei Yu

Using Laplace Transform to Evaluate Improper Integrals Chii-Huei Yu Available at https://edupediapublicationsog/jounals Volume 3 Issue 4 Febuay 216 Using Laplace Tansfom to Evaluate Impope Integals Chii-Huei Yu Depatment of Infomation Technology, Nan Jeon Univesity of

More information

SOLVING THE VISCOUS COMPOSITE CYLINDER PROBLEM BY SOKOLOV S METHOD

SOLVING THE VISCOUS COMPOSITE CYLINDER PROBLEM BY SOKOLOV S METHOD 1 SOLVING THE VISCOUS COMPOSITE CYLINDER PROBLEM BY SOKOLOV S METHOD NGO By CO. H. TRAN, PHONG. T. Faculty of Mathematics & Infomatics, Univesity of Natual Sciences VNU-HCM Abstact : The pape pesents some

More information

Numerical simulation of velocity and temperature fields in natural circulation loop

Numerical simulation of velocity and temperature fields in natural circulation loop Jounal of Physics: Confeence Seies PAPER OPEN ACCESS Numeical simulation of velocity and tempeatue fields in natual ciculation loop To cite this aticle: L A Sukomel and O N Kaban kov 2017 J. Phys.: Conf.

More information

ESTIMATION OF MECHANICAL PARAMETERS OF THIN FILMS USING FINITE ELEMENT ANALYSIS

ESTIMATION OF MECHANICAL PARAMETERS OF THIN FILMS USING FINITE ELEMENT ANALYSIS Update:5/0/209 ESTIMATION OF MECHANICAL PARAMETERS OF THIN FILMS USING FINITE ELEMENT ANALYSIS H. A. Tinoco*,2,3, J. Holze 2, T. Piále 4, Z. Buchta 4, J. Laza 4, A. Chlupová 2, T. Kuml 2, P. Hutař 2 Abstact:

More information

Three-dimensional Quantum Cellular Neural Network and Its Application to Image Processing *

Three-dimensional Quantum Cellular Neural Network and Its Application to Image Processing * Thee-dimensional Quantum Cellula Neual Netwok and Its Application to Image Pocessing * Sen Wang, Li Cai, Huanqing Cui, Chaowen Feng, Xiaokuo Yang Science College, Ai Foce Engineeing Univesity Xi an 701,

More information

Research on the Method of Identifying the Indicator Diagram of the Sucker Rod Pumping Unit

Research on the Method of Identifying the Indicator Diagram of the Sucker Rod Pumping Unit Intenational Coe Jounal of Engineeing Vol. No.3 05 ISSN: 44-895 eseach on the Method of Identifying the Indicato Diagam of the Sucke od Pumping Unit Cun Lu, enze Luo, Peng Jiang College of Mechanical and

More information

THE INFLUENCE OF THE MAGNETIC NON-LINEARITY ON THE MAGNETOSTATIC SHIELDS DESIGN

THE INFLUENCE OF THE MAGNETIC NON-LINEARITY ON THE MAGNETOSTATIC SHIELDS DESIGN THE INFLUENCE OF THE MAGNETIC NON-LINEARITY ON THE MAGNETOSTATIC SHIELDS DESIGN LIVIU NEAMŢ 1, ALINA NEAMŢ, MIRCEA HORGOŞ 1 Key wods: Magnetostatic shields, Magnetic non-lineaity, Finite element method.

More information

DESIGN OF FLAIL FOR SOIL TREATMENT

DESIGN OF FLAIL FOR SOIL TREATMENT 5 th DAAAM Intenational Confeence on Advanced Technologies fo Developing Counties June 28-30, 2006 Rijeka, Coatia DESIGN OF FLAIL FOR SOIL TREATMENT N. Vinković, V. Stojković, D. Mikulić Keywods: Flail

More information

Modeling of the fermentation in an internal loop airlift reactor

Modeling of the fermentation in an internal loop airlift reactor 17 th Euopean Symposium on Compute Aided Pocess Engineeing ESCAPE17 V. Plesu and P.S. Agachi (Editos) 7 Elsevie B.V. All ights eseved. 1 Modeling of the fementation in an intenal loop ailift eacto Ivan

More information

Analysis of high speed machining center spindle dynamic unit structure performance Yuan guowei

Analysis of high speed machining center spindle dynamic unit structure performance Yuan guowei Intenational Confeence on Intelligent Systems Reseach and Mechatonics Engineeing (ISRME 0) Analysis of high speed machining cente spindle dynamic unit stuctue pefomance Yuan guowei Liaoning jidian polytechnic,dan

More information

Description of TEAM Workshop Problem 33.b: Experimental Validation of Electric Local Force Formulations.

Description of TEAM Workshop Problem 33.b: Experimental Validation of Electric Local Force Formulations. 1 Desciption of TEAM Wokshop Poblem 33.b: Expeimental Validation of Electic Local Foce Fomulations. Olivie Baé, Pascal Bochet, Membe, IEEE Abstact Unde extenal stesses, the esponse of any mateial is a

More information

MAGNETIC FIELD AROUND TWO SEPARATED MAGNETIZING COILS

MAGNETIC FIELD AROUND TWO SEPARATED MAGNETIZING COILS The 8 th Intenational Confeence of the Slovenian Society fo Non-Destuctive Testing»pplication of Contempoay Non-Destuctive Testing in Engineeing«Septembe 1-3, 5, Potoož, Slovenia, pp. 17-1 MGNETIC FIELD

More information

Conservative Averaging Method and its Application for One Heat Conduction Problem

Conservative Averaging Method and its Application for One Heat Conduction Problem Poceedings of the 4th WSEAS Int. Conf. on HEAT TRANSFER THERMAL ENGINEERING and ENVIRONMENT Elounda Geece August - 6 (pp6-) Consevative Aveaging Method and its Application fo One Heat Conduction Poblem

More information

APPLICATION OF MAC IN THE FREQUENCY DOMAIN

APPLICATION OF MAC IN THE FREQUENCY DOMAIN PPLICION OF MC IN HE FREQUENCY DOMIN D. Fotsch and D. J. Ewins Dynamics Section, Mechanical Engineeing Depatment Impeial College of Science, echnology and Medicine London SW7 2B, United Kingdom BSRC he

More information

Centripetal Force OBJECTIVE INTRODUCTION APPARATUS THEORY

Centripetal Force OBJECTIVE INTRODUCTION APPARATUS THEORY Centipetal Foce OBJECTIVE To veify that a mass moving in cicula motion expeiences a foce diected towad the cente of its cicula path. To detemine how the mass, velocity, and adius affect a paticle's centipetal

More information

Stress Intensity Factor

Stress Intensity Factor S 47 Factue Mechanics http://imechanicaog/node/7448 Zhigang Suo Stess Intensity Facto We have modeled a body by using the linea elastic theoy We have modeled a cack in the body by a flat plane, and the

More information

THE INFLUENCE OF TEMPERATURE S CHANGE ALONG THE RADIUS ON THE MEMBRANE STRESSES FIELD AT ROTATING DISKS

THE INFLUENCE OF TEMPERATURE S CHANGE ALONG THE RADIUS ON THE MEMBRANE STRESSES FIELD AT ROTATING DISKS 6 th Intenational Confeence Computational Mechanics and Vitual Engineeing COMEC 015 15-16 Octobe 015, Başov, Romania HE INFLUENCE OF EMPERAURE S CHANGE ALONG HE RADIUS ON HE MEMBRANE SRESSES FIELD A ROAING

More information

Computers and Mathematics with Applications

Computers and Mathematics with Applications Computes and Mathematics with Applications 58 (009) 9 7 Contents lists available at ScienceDiect Computes and Mathematics with Applications jounal homepage: www.elsevie.com/locate/camwa Bi-citeia single

More information

CALCULATING THE NUMBER OF TWIN PRIMES WITH SPECIFIED DISTANCE BETWEEN THEM BASED ON THE SIMPLEST PROBABILISTIC MODEL

CALCULATING THE NUMBER OF TWIN PRIMES WITH SPECIFIED DISTANCE BETWEEN THEM BASED ON THE SIMPLEST PROBABILISTIC MODEL U.P.B. Sci. Bull. Seies A, Vol. 80, Iss.3, 018 ISSN 13-707 CALCULATING THE NUMBER OF TWIN PRIMES WITH SPECIFIED DISTANCE BETWEEN THEM BASED ON THE SIMPLEST PROBABILISTIC MODEL Sasengali ABDYMANAPOV 1,

More information

Module 7. Limit State of Serviceability. Version 2 CE IIT, Kharagpur

Module 7. Limit State of Serviceability. Version 2 CE IIT, Kharagpur Module 7 Limit State of Seviceability Lesson 17 Limit State of Seviceability nstuction Objectives: At the end of this lesson, the student should be able to: explain the need to check fo the limit state

More information

Reasons to Build a Hydraulic Model

Reasons to Build a Hydraulic Model Reasons to Build a Hydaulic Model Detemine dischage coefficient fo lage flow measuement stuctue (spillway o wei) Develop effective method fo enegy dissipation at outlet of hydaulic stuctue Development

More information

Calculation of Temperature Rise in Dry-type Air-core Reactors Using Strong Coupling of Fluid-Temperature Field

Calculation of Temperature Rise in Dry-type Air-core Reactors Using Strong Coupling of Fluid-Temperature Field Reseach Jounal of Applied Sciences, Engineeing and Technology 5(10: 941-945, 013 ISSN: 040-7459; e-issn: 040-7467 Maxwell Scientific Oganization, 013 Submitted: Septembe 15, 01 Accepted: Octobe 4, 01 Published:

More information

FUSE Fusion Utility Sequence Estimator

FUSE Fusion Utility Sequence Estimator FUSE Fusion Utility Sequence Estimato Belu V. Dasaathy Dynetics, Inc. P. O. Box 5500 Huntsville, AL 3584-5500 belu.d@dynetics.com Sean D. Townsend Dynetics, Inc. P. O. Box 5500 Huntsville, AL 3584-5500

More information

A dual-reciprocity boundary element method for axisymmetric thermoelastodynamic deformations in functionally graded solids

A dual-reciprocity boundary element method for axisymmetric thermoelastodynamic deformations in functionally graded solids APCOM & ISCM 11-14 th Decembe, 013, Singapoe A dual-ecipocity bounday element method fo axisymmetic themoelastodynamic defomations in functionally gaded solids *W. T. Ang and B. I. Yun Division of Engineeing

More information

5. Pressure Vessels and

5. Pressure Vessels and 5. Pessue Vessels and Axial Loading Applications 5.1 Intoduction Mechanics of mateials appoach (analysis) - analyze eal stuctual elements as idealized models subjected simplified loadings and estaints.

More information

COLD STRANGLING HOLLOW PARTS FORCES CALCULATION OF CONICAL AND CONICAL WITH CYLINDRICAL COLLAR

COLD STRANGLING HOLLOW PARTS FORCES CALCULATION OF CONICAL AND CONICAL WITH CYLINDRICAL COLLAR COLD STANGLING HOLLOW PATS OCES CALCULATION O CONICAL AND CONICAL WITH CYLINDICAL COLLA Lucian V. Sevein, Taian Lucian Sevein,, Stefan cel Mae Univesity of Suceava, aculty of Mechanical Engineeing, Mechatonics

More information

Galilean Transformation vs E&M y. Historical Perspective. Chapter 2 Lecture 2 PHYS Special Relativity. Sep. 1, y K K O.

Galilean Transformation vs E&M y. Historical Perspective. Chapter 2 Lecture 2 PHYS Special Relativity. Sep. 1, y K K O. PHYS-2402 Chapte 2 Lectue 2 Special Relativity 1. Basic Ideas Sep. 1, 2016 Galilean Tansfomation vs E&M y K O z z y K In 1873, Maxwell fomulated Equations of Electomagnetism. v Maxwell s equations descibe

More information

7.2.1 Basic relations for Torsion of Circular Members

7.2.1 Basic relations for Torsion of Circular Members Section 7. 7. osion In this section, the geomety to be consideed is that of a long slende cicula ba and the load is one which twists the ba. Such poblems ae impotant in the analysis of twisting components,

More information

Gradient-based Neural Network for Online Solution of Lyapunov Matrix Equation with Li Activation Function

Gradient-based Neural Network for Online Solution of Lyapunov Matrix Equation with Li Activation Function Intenational Confeence on Infomation echnology and Management Innovation (ICIMI 05) Gadient-based Neual Netwok fo Online Solution of Lyapunov Matix Equation with Li Activation unction Shiheng Wang, Shidong

More information

Analysis of the Interaction between the Lining of a TBM Tunnel and the Ground Using the Convergence-Confinement Method

Analysis of the Interaction between the Lining of a TBM Tunnel and the Ground Using the Convergence-Confinement Method Ameican Jounal of Applied Sciences Oiginal eseach Pape Analysis of the Inteaction between the Lining of a TBM Tunnel and the Gound Using the Convegence-Confinement Method Piepaolo Oeste Depatment of Envionmental,

More information

Section 11. Timescales Radiation transport in stars

Section 11. Timescales Radiation transport in stars Section 11 Timescales 11.1 Radiation tanspot in stas Deep inside stas the adiation eld is vey close to black body. Fo a black-body distibution the photon numbe density at tempeatue T is given by n = 2

More information

FE FORMULATIONS FOR PLASTICITY

FE FORMULATIONS FOR PLASTICITY G These slides ae designed based on the book: Finite Elements in Plasticity Theoy and Pactice, D.R.J. Owen and E. Hinton, 970, Pineidge Pess Ltd., Swansea, UK. Couse Content: A INTRODUCTION AND OVERVIEW

More information

To investigate Heat Loss of a Fluid flowing through a Pipeline for Turbulent Flow

To investigate Heat Loss of a Fluid flowing through a Pipeline for Turbulent Flow ISSN: 2454-2377 Volume, Issue 9, Januay 206 To investigate Heat Loss of a Fluid flowing though a Pipeline fo Tubulent Flow Maheshkuma Mauti Patil, Maiappan D. Nada 2, Suhas A. Uthale 3 PG Student, Mechanical

More information

High precision computer simulation of cyclotrons KARAMYSHEVA T., AMIRKHANOV I. MALININ V., POPOV D.

High precision computer simulation of cyclotrons KARAMYSHEVA T., AMIRKHANOV I. MALININ V., POPOV D. High pecision compute simulation of cyclotons KARAMYSHEVA T., AMIRKHANOV I. MALININ V., POPOV D. Abstact Effective and accuate compute simulations ae highly impotant in acceleatos design and poduction.

More information

Pulse Neutron Neutron (PNN) tool logging for porosity Some theoretical aspects

Pulse Neutron Neutron (PNN) tool logging for porosity Some theoretical aspects Pulse Neuton Neuton (PNN) tool logging fo poosity Some theoetical aspects Intoduction Pehaps the most citicism of Pulse Neuton Neuon (PNN) logging methods has been chage that PNN is to sensitive to the

More information

Water flows through the voids in a soil which are interconnected. This flow may be called seepage, since the velocities are very small.

Water flows through the voids in a soil which are interconnected. This flow may be called seepage, since the velocities are very small. Wate movement Wate flows though the voids in a soil which ae inteconnected. This flow may be called seepage, since the velocities ae vey small. Wate flows fom a highe enegy to a lowe enegy and behaves

More information

Physics 211: Newton s Second Law

Physics 211: Newton s Second Law Physics 211: Newton s Second Law Reading Assignment: Chapte 5, Sections 5-9 Chapte 6, Section 2-3 Si Isaac Newton Bon: Januay 4, 1643 Died: Mach 31, 1727 Intoduction: Kinematics is the study of how objects

More information

Material Choice for spindle of machine tools

Material Choice for spindle of machine tools IOP Confeence Seies: Mateials Science and Engineeing Mateial Choice fo spindle of machine tools To cite this aticle: S Gouasmi et al 202 IOP Conf. Se.: Mate. Sci. Eng. 28 0205 Related content - Kelvin

More information

Central Coverage Bayes Prediction Intervals for the Generalized Pareto Distribution

Central Coverage Bayes Prediction Intervals for the Generalized Pareto Distribution Statistics Reseach Lettes Vol. Iss., Novembe Cental Coveage Bayes Pediction Intevals fo the Genealized Paeto Distibution Gyan Pakash Depatment of Community Medicine S. N. Medical College, Aga, U. P., India

More information

Research Article EXPERIMENTAL STUDY OF HEAT TRANSFER CHARACTERISTICS OF STAINLESS STEEL FIBROUS FLOW INSULATOR

Research Article EXPERIMENTAL STUDY OF HEAT TRANSFER CHARACTERISTICS OF STAINLESS STEEL FIBROUS FLOW INSULATOR Tansactions of the TSME (16) Vol. 4, No. 2, 148 155 Jounal of seach and Applications in Mechanical Engineeing Copyight 16 by TSME ISSN 2229-2152 pint DOI: 1.14456/jame.16.15 seach Aticle EXPERIMENTAL STUDY

More information

Lab #4: Newton s Second Law

Lab #4: Newton s Second Law Lab #4: Newton s Second Law Si Isaac Newton Reading Assignment: bon: Januay 4, 1643 Chapte 5 died: Mach 31, 1727 Chapte 9, Section 9-7 Intoduction: Potait of Isaac Newton by Si Godfey Knelle http://www.newton.cam.ac.uk/at/potait.html

More information

Motion in One Dimension

Motion in One Dimension Motion in One Dimension Intoduction: In this lab, you will investigate the motion of a olling cat as it tavels in a staight line. Although this setup may seem ovesimplified, you will soon see that a detailed

More information

2. Plane Elasticity Problems

2. Plane Elasticity Problems S0 Solid Mechanics Fall 009. Plane lasticity Poblems Main Refeence: Theoy of lasticity by S.P. Timoshenko and J.N. Goodie McGaw-Hill New Yok. Chaptes 3..1 The plane-stess poblem A thin sheet of an isotopic

More information

EVALUATION OF S.I.F FOR CRACK EMANATING AT 45 0 ORIENTATION FROM A HOLE IN PRESSURISED CYLINDER USING FEA

EVALUATION OF S.I.F FOR CRACK EMANATING AT 45 0 ORIENTATION FROM A HOLE IN PRESSURISED CYLINDER USING FEA EVALUATION OF S.I.F FOR CRAC EMANATING AT 45 0 ORIENTATION FROM A HOLE IN PRESSURISED CYLINDER USING FEA AASH.D.A 1, ANAND.A 2, G.V.GNANENDRA REDDY 3, SUDEV.L.J 4 1,3 Depatment of Mechanical Engineeing,

More information

An Exploratory Study on Functionally Graded Materials with Applications to Multilayered Pavement Design

An Exploratory Study on Functionally Graded Materials with Applications to Multilayered Pavement Design An Exploatoy Study on Functionally Gaded Mateials with Applications to Multilayeed Pavement Design Enie Pan, Wael Alkasawneh, and Ewan Chen Pepaed in coopeation with The Ohio Depatment of Tanspotation

More information

International Journal of Mathematical Archive-3(12), 2012, Available online through ISSN

International Journal of Mathematical Archive-3(12), 2012, Available online through  ISSN Intenational Jounal of Mathematical Achive-3(), 0, 480-4805 Available online though www.ijma.info ISSN 9 504 STATISTICAL QUALITY CONTROL OF MULTI-ITEM EOQ MOEL WITH VARYING LEAING TIME VIA LAGRANGE METHO

More information

Levitation force analysis of ring and disk shaped permanent magnet-high temperature superconductor

Levitation force analysis of ring and disk shaped permanent magnet-high temperature superconductor Inn Jounal of Pue & Applied Physics Vol. 55, Apil 017, pp. 61-68 Levitation foce analysis of ing and disk shaped pemanent magnet-high tempeatue supeconducto Sinan Basaan & Selim Sivioglu* Depatment of

More information

EFFECTS OF GFRP REINFORCING REBARS ON SHRINKAGE AND THERMAL STRESSES IN CONCRETE

EFFECTS OF GFRP REINFORCING REBARS ON SHRINKAGE AND THERMAL STRESSES IN CONCRETE EFFECTS OF GFRP REINFORCING REBARS ON SHRINKAGE AND THERMAL STRESSES IN CONCRETE Roge H. L. Chen 1 and Jeong-Hoon Choi 2 ABSTRACT The use of Glass Fibe Reinfoced Polyme (GFRP) ebas instead of conventional

More information

A Three-Dimensional Magnetic Force Solution Between Axially-Polarized Permanent-Magnet Cylinders for Different Magnetic Arrangements

A Three-Dimensional Magnetic Force Solution Between Axially-Polarized Permanent-Magnet Cylinders for Different Magnetic Arrangements Poceedings of the 213 Intenational Confeence on echanics, Fluids, Heat, Elasticity Electomagnetic Fields A Thee-Dimensional agnetic Foce Solution Between Axially-Polaied Pemanent-agnet Cylindes fo Diffeent

More information

Study on Application of New Theorem of Kinetic Energy

Study on Application of New Theorem of Kinetic Energy Intenational Jounal of pplied Physics and Mathematics Study on pplication of New Theoem of Kinetic Enegy Yong Yang * Tongchuan Banch of Shanxi Radio and TV Univesity, Tongchuan Polytechnics, Tongchuan

More information

arxiv:hep-th/ v11 4 Feb 2016

arxiv:hep-th/ v11 4 Feb 2016 A Fundamental Modification of Standad Cosmological Metic ChiYi Chen a a chenchiyi@hznu.edu.cn Hangzhou Nomal Univesity, Hangzhou 310036, China axiv:hep-th/0411047v11 4 Feb 016 In this pape a novel physical

More information

Accurate evaluation of lowest band gaps in ternary locally resonant phononic crystals

Accurate evaluation of lowest band gaps in ternary locally resonant phononic crystals Vol 15 No 8, August 6 c 6 Chin. Phys. Soc. 19-1963/6/15(8)/1843-6 Chinese Physics and IOP Publishing Ltd Accuate evaluation of lowest band gaps in tenay locally esonant phononic cystals Wang Gang( ) a)b),

More information

This is a very simple sampling mode, and this article propose an algorithm about how to recover x from y in this condition.

This is a very simple sampling mode, and this article propose an algorithm about how to recover x from y in this condition. 3d Intenational Confeence on Multimedia echnology(icm 03) A Simple Compessive Sampling Mode and the Recovey of Natue Images Based on Pixel Value Substitution Wenping Shao, Lin Ni Abstact: Compessive Sampling

More information

COEFFICIENT OF CONSOLIDATION FROM PIEZOCONE DISSIPATION TESTS

COEFFICIENT OF CONSOLIDATION FROM PIEZOCONE DISSIPATION TESTS Poceedings of the Intenational Symposium on Lowland Technology, Septembe 4 COEFFICIENT OF CONSOLIDATION FROM PIEZOCONE DISSIPATION TESTS J.-C. CHAI Institute of Lowland Technology, Saga Univesity, Japan

More information

ANA BERRIZBEITIA, LUIS A. MEDINA, ALEXANDER C. MOLL, VICTOR H. MOLL, AND LAINE NOBLE

ANA BERRIZBEITIA, LUIS A. MEDINA, ALEXANDER C. MOLL, VICTOR H. MOLL, AND LAINE NOBLE THE p-adic VALUATION OF STIRLING NUMBERS ANA BERRIZBEITIA, LUIS A. MEDINA, ALEXANDER C. MOLL, VICTOR H. MOLL, AND LAINE NOBLE Abstact. Let p > 2 be a pime. The p-adic valuation of Stiling numbes of the

More information

Materials selection The materials index

Materials selection The materials index MME445: Lectue 20 Mateials selection The mateials index A. K. M. B. Rashid Pofesso, Depatment of MME BUET, Dhaka Leaning Objectives Knowledge & Undestanding Elementay knowledge of how to expess design

More information

F-IF Logistic Growth Model, Abstract Version

F-IF Logistic Growth Model, Abstract Version F-IF Logistic Gowth Model, Abstact Vesion Alignments to Content Standads: F-IFB4 Task An impotant example of a model often used in biology o ecology to model population gowth is called the logistic gowth

More information

Molecular dynamics simulation of ultrafast laser ablation of fused silica

Molecular dynamics simulation of ultrafast laser ablation of fused silica IOP Publishing Jounal of Physics: Confeence Seies 59 (27) 1 14 doi:1.188/1742-6596/59/1/22 Eighth Intenational Confeence on Lase Ablation Molecula dynamics simulation of ultafast lase ablation of fused

More information

Roof Support 1. Stand-Up Time (RMR):

Roof Support 1. Stand-Up Time (RMR): Roof Suppot 1 Enty Design is a complex polem. 1. One can use a Roof Classification System. o one can use Beam Fomulas Stand-Up Time (RMR): Maximum Unsuppoted Span (Q): Accoding to the Q system, the maximum

More information

BIFURCATION ANALYSIS FOR A QUASI-LINEAR CENTRIFUGAL PENDULUM ABSORBER

BIFURCATION ANALYSIS FOR A QUASI-LINEAR CENTRIFUGAL PENDULUM ABSORBER 11 th Intenational Confeence on Vibation Poblems Z. Dimitovová et al. (eds.) Lisbon, Potugal, 9-12 Septembe 213 BIFURCATION ANALYSIS FOR A QUASI-LINEAR CENTRIFUGAL PENDULUM ABSORBER Eugen B. Keme* 1, Mikhail

More information

Chapter Introduction to Finite Element Methods

Chapter Introduction to Finite Element Methods Chapte 1.4 Intoduction to Finite Element Methods Afte eading this chapte, you should e ale to: 1. Undestand the asics of finite element methods using a one-dimensional polem. In the last fifty yeas, the

More information

A DETAILED STUDY OF THE HIGH ORDER SERIAL RESONANT INVERTER FOR INDUCTION HEATING

A DETAILED STUDY OF THE HIGH ORDER SERIAL RESONANT INVERTER FOR INDUCTION HEATING ELECTRONICS 005 1 3 Septembe, Sozopol, BULGARIA A DETAILED STUDY OF THE HIGH ORDER SERIAL RESONANT INVERTER FOR INDUCTION HEATING Evgeniy Ivanov Popov, Liliya Ivanova Pindeva, Elisaveta Histova Mileva,

More information

Effect of Downstream Flapping Plate on the Flow Field Characteristics behind a Circular Cylinder

Effect of Downstream Flapping Plate on the Flow Field Characteristics behind a Circular Cylinder Poceedings of the 3 d Intenational Confeence on Fluid Flow, Heat and Mass Tansfe (FFHMT 16) Ottawa, Canada May 2 3, 2016 Pape No. 169 Effect of Downsteam Flapping Plate on the Flow Field Chaacteistics

More information

10. Groundwater in geotechnical problems

10. Groundwater in geotechnical problems . Goundwate in geotechnical poblems Goundwate plays a key ole in many geotechnical poblems. We will look at; - land subsidence - dewateing open pits - Consolidation of sediments Remembe the stoage of wate

More information

Contact impedance of grounded and capacitive electrodes

Contact impedance of grounded and capacitive electrodes Abstact Contact impedance of gounded and capacitive electodes Andeas Hödt Institut fü Geophysik und extateestische Physik, TU Baunschweig The contact impedance of electodes detemines how much cuent can

More information

Rotor Blade Performance Analysis with Blade Element Momentum Theory

Rotor Blade Performance Analysis with Blade Element Momentum Theory Available online at www.sciencediect.com ScienceDiect Enegy Pocedia 5 (7 ) 3 9 The 8 th Intenational Confeence on Applied Enegy ICAE6 Roto Blade Pefomance Analysis with Blade Element Momentum Theoy Faisal

More information

Precessing Ball Solitons as Self-Organizing Systems during a Phase Transition in a Ferromagnet

Precessing Ball Solitons as Self-Organizing Systems during a Phase Transition in a Ferromagnet Applied Mathematics,, 4, 78-8 http://dxdoiog/46/am4a Published Online Octobe (http://wwwscipog/jounal/am) Pecessing Ball Solitons as Self-Oganiing Systems duing a Phase Tansition in a Feomagnet V V Niet

More information

Double folding analysis of 3 He elastic and inelastic scattering to low lying states on 90 Zr, 116 Sn and 208 Pb at 270 MeV

Double folding analysis of 3 He elastic and inelastic scattering to low lying states on 90 Zr, 116 Sn and 208 Pb at 270 MeV Double folding analysis of 3 He elastic and inelastic scatteing to low lying states on 90 Z, 116 Sn and 08 Pb at 70 MeV Mawa N. El-Hammamy Physics Depatment, Faculty of Science, Damanhu Univesity, Egypt

More information

AH Mechanics Checklist (Unit 2) AH Mechanics Checklist (Unit 2) Circular Motion

AH Mechanics Checklist (Unit 2) AH Mechanics Checklist (Unit 2) Circular Motion AH Mechanics Checklist (Unit ) AH Mechanics Checklist (Unit ) Cicula Motion No. kill Done 1 Know that cicula motion efes to motion in a cicle of constant adius Know that cicula motion is conveniently descibed

More information

Empirical Prediction of Fitting Densities in Industrial Workrooms for Ray Tracing. 1 Introduction. 2 Ray Tracing using DRAYCUB

Empirical Prediction of Fitting Densities in Industrial Workrooms for Ray Tracing. 1 Introduction. 2 Ray Tracing using DRAYCUB Empiical Pediction of Fitting Densities in Industial Wokooms fo Ray Tacing Katina Scheebnyj, Muay Hodgson Univesity of Bitish Columbia, SOEH-MECH, Acoustics and Noise Reseach Goup, 226 East Mall, Vancouve,

More information

School of Electrical and Computer Engineering, Cornell University. ECE 303: Electromagnetic Fields and Waves. Fall 2007

School of Electrical and Computer Engineering, Cornell University. ECE 303: Electromagnetic Fields and Waves. Fall 2007 School of Electical and Compute Engineeing, Conell Univesity ECE 303: Electomagnetic Fields and Waves Fall 007 Homewok 8 Due on Oct. 19, 007 by 5:00 PM Reading Assignments: i) Review the lectue notes.

More information

ScienceDirect. The modelling of the electric field generated by the electrical transport lines

ScienceDirect. The modelling of the electric field generated by the electrical transport lines Available online at www.sciencediect.com ScienceDiect Enegy ocedia 85 (016) 170 177 Sustainable Solutions fo Enegy and Envionment, EENVIRO - YRC 015, 18-0 Novembe 015, Buchaest, Romania The modelling of

More information