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    Broj 1,2012. RUDARSKI RADOVI117

    INSTITUT ZA RUDARSTVO I METALURGIJU BOR YU ISSN: 1451-0162KOMITET ZA PODZEMNU EKSPLOATACIJU MINERALNIH SIROVINA UDK: 622

    UDK: 621.967.2:622.271 (045)=861

    Branislav Rajkovi*, Zoran Ili*, Radomir Mijovi*

    POJAVA SUPROTNOSMERNOG KRETANJA TRAKASTOG

    TRANSPORTERA ZA RUDU T.109 I SPREAVANJE OVE POJAVE

    Izvod

    U ovom radu je, na primeru trakastog transportera za rudu na povrinskom kopu Veliki

    Krivelj sa kapacitetom 2000 t/h i sa usponom u smeru kretanja materijala, data analiza suprot-nosmernog kretanja trakastog transportera u sluaju njegovog zaustavljanja.

    Analiza je uraena raunskim putem metodom obilaska po konturi i predstavlja univerzalnimetod prorauna trakastih transportera iji su rezultati neophodni za izbor ureaja za spre-

    avanje suprotnosmernog kretanja trakastog transportera.Takoe su izloeni nain rada i tehnike karakteristike usvojenog ureaja za spreavanje su-

    protnosmernog kretanja.Kljune rei: trakasti transporter za rudu, suprotnosmerno kretanje, metod obilaska po kon-

    turi, ureaj za spreavanje suprotnosmernog kretanja

    *Institut za rudarstvo i metalurgiju Bor

    1. UVOD

    Suprotnosmerno kretanje trakastihtransportera sa nagibom u smeru kretanjamaterijala predstavlja tetnu pojavu kojamoe da nastane u momentu zaustavljanjatransportera kada pod dejstvom gravi-tacione sile na materijal koji se nalazi natraci transporter tei da se kree u suprot-

    nom smeru pri emu moe doi do rasi-panja materijala sa trake i zasipanja ut-ovarnog ureaja materijalom to uzrokujezastoje i gubitke materijala.

    Za transport primarno izdrobljene rudebakra na povrinskom kopu Veliki

    Krivelj kod Bora od drobilice (poz.T.102.100.2) do otvorenog sklada za ruduprojektovan je trakasti transporter (poz.T.109) [2]. Zahtev investitora u toku izradeprojekta je bio da se proveri mogunost

    iskorienja opreme postojeeg trakastog

    transportera koji je van funkcije na povrin-skom kopu u Majdanpeku. Za spreavanjesuprotnosmernog kretanja ovog trakastogtransportera bio je predvien ustavljapro-izvoaa Falk sa oznakom 1105NRT. U

    svrhu provere da li ovaj ureaj zadovoljavau novim radnim uslovima uraen je pro-

    raun suprotnosmernog kretanja trakastogtransportera T.109 metodom obilaska pokonturi.

    2. TEHNIKI OPIS TRAKASTOG

    TRANSPORTERA T.109

    Trasa trakastog transportera data jeslici 1.

    Tehnike karakteristike transportera:

    1. Podaci o materijalu

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    Broj 1,2012. RUDARSKI RADOVI118

    1.1. Vrsta materijala: ruda bakra1.2. Maksimalna dimenzija komada:

    [ ]mma 250max =

    1.3. Nasipna gustina:

    =3

    1600m

    kg

    1.4. Ugao prirodnog pada materijala u

    kretanju: [ ]o20= 2. Podaci o transporteru

    2.1. Proizvoa: FOD Bor2.2. Kapacitet transportera:

    =h

    tQm 2000

    2.3. Duina transportera:

    [ ]mL 076,466=

    2.4. Brzina transportera:

    =s

    mv 8.3

    2.5. Uslovi rada transportera: Rad vanprostorije, vlaan vazduh

    Trakasti transporter (vidi sliku 1) je sagumenom trakom sa elinim uadima St1250 irine 1200 mm koritastog poprenogpreseka sa tri nosea valjka pod nagibomod 36 na radnoj grani i sa dva povratna

    valjka pod nagibom od 10 na povratnojgrani.

    Konstrukcija transportera se sastoji odutovarne stanice, standardnih sekcija iistovarno-pogonsko-zatezne stanice.

    Utovarna stanica sastoji se od noseekonstrukcije, utovarnog levka, povratnog

    bubnja, nose

    ih amortizacionih valjaka ipovratnih valjaka.Standardnih sekcija ima dva tipa koji

    se razlikuju u duinama tako da su duesekcije (tip A) predviene na ravnimdelovima trase transportera a krae (tipB) u krivinama.

    Istovarno-pogonsko-zatezna stanica sesastoji od nosee konstrukcije (strele)

    transportera, istovarnog bubnja, pogonskihbubnjeva, otklonskih bubnjeva i zateznog

    bubnja, pogona transportera, ureaja zazatezanje i noseih i povratnih valjaka.

    Pogon transportera je preko dva bubnjai sastoji se od dve identine pogonskegrupe koje se sastoje od elektromotora,spojnice izmeu elektromotora i reduktora,reduktora, spojnice izmeu reduktora ipogonskog bubnja i samog pogonskog

    bubnja.Zatezanje trake vri se preko zateznog

    bubnja smetenog u okviru istovarno-pogonsko-zatezne stanice koji se zateetegom pomou ueta i sistema uetnjaa.

    Istovar se vri preko istovarnog bubnja-bubnja za odbacivanje koji se nalazi na

    gornjem kraju trakastog transportera.Za spreavanje suprotnosmernog kreta-nja trake transportera predviena je konicakoja je smetena na istovarnom bubnju.

    Za brisanje trake od naslaga materijalapredviena je struna guma na istovarnombubnju.

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    Broj 1,2012. RUDARSKI RADOVI119

    Sl. 1.Trakasti transporter T.109

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    Broj 1,2012. RUDARSKI RADOVI120

    3. PRORAUN SUPROTNO -

    SMERNOG KRETANJA

    TRAKASTOG TRANSPORTERA

    T.109

    1. Proraun ima za svrhu odreivanjepotrebnog koionog momenta ureaja zaspreavanje suprotnosmernog kretanja

    trakastog transportera smetenog navratilu bubnja za odbacivanje preko kogase obavlja istovar materijala na krajutrakastog transportera.

    Proraun se vri metodom obilaska pokonturi prema [1] za suprotnosmerno kre-tanje transportera. Karakteristine take ukojima se raunaju sile u traci date su na

    slici 1. Proraun poinje od take 3 u kojojtraka pri suprotnosmernom kretanjunailazi na zatezni bubanj i u kojoj je silauslovljena teinom zateznog tega. Pro-raun se odvija od take 3 od take 21 usmeru koji odgovara suprotnosmernom

    kretanju trake, a od take 4 od take 20 usuprotnom smeru. Razlika izraunatih sila

    u takama 20 i 21, koje predstavljaju takenailaska i silaska trake bubnja za odba-civanje na ije vratilo se montira koioniureaj, odreuje veliinu koionog mo-menta.

    2. Sile optereenja po dunom metrutransportera

    2.1. Od transportovanog tereta

    =

    =

    m

    N

    m

    N

    v

    gQq mter 211,1434

    6,3

    2.2. Od teine obrtnih delova rolniradne grane

    =

    = m

    N

    m

    N

    l

    gm

    qArgr

    Argr

    Argr 9,228..

    ..

    ..

    =

    =m

    N

    m

    N

    l

    gmq

    Brgr

    BrgrBrgr 35,343

    ..

    ....

    2.3. Od teine obrtnih delova rolnipovratne grane

    =

    =m

    N

    m

    N

    l

    gmq

    Apgr

    ApgrApgr 857,127

    ..

    ....

    =

    =m

    N

    m

    N

    l

    gmq

    Bpgr

    BpgrBpgr 785,191

    ..

    ....

    2.4. Od teine trake

    =

    =m

    N

    m

    Ngmq trtr 326,241

    gde su:

    [ ]kgm rgr 28. = - masa obrtnih delova

    noseih rolni

    [ ]ml rgAr 2,1. = - rastojanje izmeu

    noseih rolni tipa A

    [ ]kgm pgr 1,39. = - masa obrtnih

    delova povratnih rolni

    [ ]ml pgAr 3. = - rastojanje izmeu

    povratnih rolni tipa A

    [ ]ml pgBr 2. = - rastojanje izmeu

    povratnih rolni tipa B

    [ ]ml rgBr 8,0. = - rastojanje izmeu

    noseih rolni tipa B

    [ ]kgmt 6,24= - masa trake po duini

    trake3. Proraun sila u traci u karakteristinim

    takama transportera:

    [ ]NFF zz 6215223 =

    =

    gde su:

    [ ]NFz 130847= zatezna sila

    [ ]= 95,0z stepen korisnosti

    zateznog ureaja

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    Broj 1,2012. RUDARSKI RADOVI121

    [ ]NkFF p 6,6525932 ==

    [ ]NkFF p 3,6871821 ==

    [ ]NkFF p 4,72360123 ==

    [ ]NkFF p 5,761952322 ==

    [ ]NkFF p 9,802332221 ==

    [ ]Nk

    FF

    p

    4,192.5934 ==

    [ ]NWFF 2,580715445 ==

    [ ]N

    wLqwLqW Apgrtr

    2,1121

    54..5454

    =

    =+=

    [ ]NWFF 7,561616556 ==

    ( )[ ]NwLq

    LwLqW

    Bpgr

    VHtr

    5,190965..

    656565

    =+

    ++=

    [ ]NWFF 489327667 ==

    ( )[ ]NwLq

    wLqW

    Apgr

    tr

    9,7229

    sincos

    76..

    7676

    =+

    ++=

    [ ]NWFF 2,467468778 ==

    ( )[ ]NwLq

    LwLqW

    Bpgr

    VHtr

    8,218587..

    878787

    =+

    ++=

    [ ]NWFF 1,440019889 ==

    ( )

    [ ]NwLq

    wLqW

    Apgr

    tr

    1,2745

    sincos

    98..

    9898

    =+

    ++=

    [ ]NWFF 1,42395109910 ==

    ( )[ ]NwLq

    LwLqW

    Bpgr

    VHtr

    1606109..

    10989109

    =+

    ++=

    [ ]NWFF 1,4093911101011 ==

    [ ]NwL

    qwLqW Apgrtr

    14561110

    ..11101110

    =

    +=

    [ ]Nk

    FF

    p

    6,389891112 ==

    [ ]NWFF ut 6,389891213 =+=

    [ ]NWFF 8,3721014131314 ==

    [ ]Nw

    LqwLqW Apgrtr

    8,1778

    1413..14131413

    =

    +=

    [ ]NWFF 5,3928315141415 ==

    ( )( )

    [ ]NwLqLwL

    qqW

    Brgr

    VH

    tertr

    7,20721514..

    15141514

    1514

    =+

    +

    +=

    [ ]NWFF 5,4879316151516 ==

    ( )( )

    [ ]NwLqwL

    qqW

    Argr

    tertr

    9510

    sincos

    1615..

    1615

    1615

    =+

    +

    +=

    [ ]NWFF 4,5748117161617 ==

    ( )( )

    [ ]NwLqLwL

    qqW

    Brgr

    VH

    tertr

    9,86871716..

    17161716

    1716

    =+

    +

    +=

    [ ]NWFF 6,9130518171718 ==

    ( )( )

    [ ]NwLqwL

    qqW

    Argr

    tertr

    2,33824

    sincos

    1817..

    1817

    1817

    =+

    +

    +=

    [ ]NWFF 9,9672719181819 ==

    ( )( )

    [ ]NwLqLwL

    qqW

    Brgr

    VH

    tertr

    3,54221918..

    19181918

    1918

    =+

    +

    +=

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    Broj 1,2012. RUDARSKI RADOVI122

    [ ]NWWFF str 7,8834820191920 =+=

    ( )

    [ ]N

    wLqwL

    qqW

    Argr

    tertr

    2,7791

    2019..2019

    2019

    =

    =+

    +=

    gde su:

    [ ]pk - koeficijent poveanja sile

    zatezanja pri obavijanju doboa

    [ ]= 04,0w koeficijent otpora trak.

    transportera za oluasti profiltrake i rad spolja

    [ ]mL ba duina karakteristinedeonice

    [ ]o ugao nagiba karakteristinedeonice

    [ ]mL bHa duina karakteristine

    deonice u horizontalnoj projekciji

    [ ]mL bVa duina karakteristine

    deonice u vertikalnoj projekciji

    [ ]NWut 0= otpor na utovarnom delu

    trakastog transportera

    [ ]NBWstr 12490490 == - otpor

    strune gume brisaa

    Potrebna sila koenja na bubnju zaodbacivanje izraena je jednainom:

    [ ]NFFFk 8,81142120 ==

    Moment koenja na sporohodomvratilu bubnja za odbacivanje dat jejednainom:

    [ ]NmDFM kkk 6,56292

    ==

    gde je:

    25,1=k stepen sigurnosti koenja

    [ ]mD 11,1= spoljni prenik bubnja

    za odbacivanje

    4. DISKUSIJA PRORAUNA

    Proraunom dobijena pozitivna vred-

    nost sile koenja pokazuje da je moguesuprotnosmerno kretanje trakastog trans-

    portera pri njegovom zaustavljanju.Da bi se spreilo suprotnosmerno kre-

    tanje trakastog transportera predvien jeodgovarajui ureaj (vidi sl. 2) koji se sastoji

    od nepokretnog spoljnjeg prstena koji jepreko poluge fiksiran za spoljnu konstruk-

    ciju i pokretne glavine sa kosim ispustimaizmeu kojih se kotrljaju rolne smetene uodgovarajuem kavezu vezanom prekoopruga za obrtnu glavinu. U toku kretanjatrake u radnom smeru rolne se slobodnokotrljaju po spoljnjem prstenu dok pri su-protnosmernom kretanju dolazi do njihovog

    zaklinjavanja izmeu odgovarajue profili-sane povrine glavine i spoljnjeg prstena.Obrtni moment koenja se preko spoljnjegprstena i poluge prenosi na spoljnu kon-strukciju (vidi sl. 3).

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    Broj 1,2012. RUDARSKI RADOVI123

    Sl. 2.Princip rada ureaja za spreavanje suprotnosmernog kretanja trakastog transportera

    Sl. 3.Ureaj za spreavanje suprotnosmernog kretanja trakastog transportera ugraen na

    vratilu bubnja za odbacivanje

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    Broj 1,2012. RUDARSKI RADOVI124

    5. ZAKLJUAK

    Prema katalokim podacima proizvo-aa Falk [3], ureaj za spreavanje su-protnosmernog kretanja trakastog trans-portera sa oznakom 1105NRT ima mak-simalni dozvoljeni koioni moment od60975 Nm koji je vei od potrebnog, to

    znai da postojei ureaj za koenje zado-voljava.

    Iako sporohodi ureaj za zaustavljanjetrakastog transportera pri suprotno smer-nom kretanju, obraen u ovom radu, pred-stavlja samo jedan nain reavanja ovogproblema, uz ureaje za koenje saskakavicom i brzohode ureaje za ko-

    enje, on ima nesumnjive prednosti presvega u jednostavnoj montai, tihom ipouzdanom radu i dugom radnom veku.

    6. LITERATURA

    [1] S. Toi: Proraun maina neprekidnogtransporta i dizalinih ureaja, Mainskifakultet Beograd, 1994. god.

    [2] Z. Ili i B. Rajkovi: Glavni mainskiprojekat transportnog sistema zapovezivanje drobilice iz sistema za

    rudniku otkrivku sa odlagaem zaprimarno izdrobljenu rudu napovrinskom kopu Veliki Krivelj

    [3] Katalog: Falk True Hold Low SpeedBackstops

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    No 1, 2012. MINING ENGINEERING125

    MINING AND METALLURGY INSTITUTE BOR YU ISSN: 1451-0162

    COMMITTEE OF UNDERGROUND EXPLOITATION OF THE MINERAL DEPOSITS UDK: 622

    UDK: 621.967.2:622.271(045)=20

    Branislav Rajkovi*, Zoran Ili*, Radomir Mijovi*

    PHENOMENON OF REVERSAL MOTION OF BELT CONVEYOR FOR

    ORE T.109 AND PREVENTION OF THIS PHENOMENON

    Abstract

    This paperwork gives an analysis of reversal motion of the belt conveyor in the case of its

    stoppage in the example of a belt conveyor for ore at the open pit Veliki Krivelj, with capacityof 2000 t/h with inclination in material transport direction.

    The analysis was made by the calculation procedure using the contour bypass method,which is a universal calculation method for conveyor belt calculation, whose results are indispen-

    sable for the selection of backstopping device of belt conveyor.Also, the principal of operation and technical characteristics the selected backstopping device

    are stated.Key words: belt conveyor for ore, reversal motion, contour bypass method, backstopping

    device

    * Mining and Metallurgy Institute Bor

    1. INTRODUCTION

    Reversal motion of belt conveyors

    with inclination in material transportationdirection is a harmful phenomenon whichmay occur at the moment of stoppage thebelt conveyor when, under the influenceof gravitational force on the material on

    belt, the belt conveyor tends to move inopposite direction whereby the effusion of

    material from the belt conveyor may occuras well as the backfilling of loading deviceby material, causing intermissions andmaterial loss.

    The belt conveyor was designed fortransport of primary crushed copper ore at

    the open pit Veliki Krivelj in Bor fromthe crusher (pos. T.102.100.2) to the openstorage for ore [3]. The request of investorduring designing was to check the possibil-ity of usage the existing equipment of a

    similar belt conveyor, which was out of

    operation at the Majdanpek open pit. Thebackstopping device, made by Falk withlabel 1105 NRT, was predicted in order toprevent the reversal motion of the beltconveyor. For the purpose of this deviceverification in the new operating condi-

    tions, the calculation of reversal motion ofthe belt conveyor T.109 was done using

    the contour bypass method.

    2. TECHNICAL DESCRIPTION OF

    BELT CONVEYOR T.109

    The route of the belt conveyor isshown on figure 1.

    Technical characteristics of beltconveyor:

    1. Material data

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    No 1, 2012. MINING ENGINEERING126

    1.1. Sort of material: copper ore1.2. Maximum size of lumps:

    [ ]mma 250max =

    1.3. Bulk density:

    =3

    1600m

    kg

    1.4. Surcharge angle in motion:

    [ ]o20= 2. Belt conveyor data

    2.1. Manufacturer: FOD Bor

    2.2. Capacity:

    =h

    tQm 2000

    2.3. Length: [ ]mL 076.466=

    2.4. Speed:

    =s

    mv 8.3

    2.5. Operating condition: Operationoutside the room, humid air

    Belt conveyor (Figure 1) has a rubberbelt with steel cords St 1250, width of1200 mm, and trough cross section madeof three carrying rolls with trough idlerangle of 36 on carry side and two return

    rolls with trough idler angle of 10 on re-turn side.

    Construction of belt conveyor includesa loading station, standard sections anddischarge-drive-take up station.

    Loading station consists of a bearingconstruction, charging chute, tail pulley,

    carrying amortizing rolls and return rolls.

    There are two types of standard sec-tions which differ in length, so that longersections (type A) are predicted at

    straight segments of the belt conveyorroute, while shorter sections (type B)are predicted at bends.

    Discharge-drive-take up station con-sists of a bearing construction (arrow),discharge pulley, drive pulleys, snap pul-

    leys and take up pulley, conveyor driveunit, take up device and carrying and re-

    turn rolls.Conveyor driving is obtained by

    means of two pulleys, and it consists oftwo identical driving units, each consist-ing of an electric motor, a coupling be-tween the motor and gear unit, the gearunit, coupling between the gear unit anddrive pulley and a drive pulley itself.

    Belt tension is obtained taking up pul-ley placed within the discharge-drive-takeup station, tightened by counter weightusing a rope and system of pulley blocks.

    Discharge is done by discharge pulley-unloading pulley, placed at the upper endof belt conveyor.

    To prevent the reversal motion of beltconveyor, the backstopping device is pre-dicted, placed on a discharge pulley.

    A scraping rubber, mounted on a dis-charge pulley, is predicted for cleaning thematerial layer off the belt.

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    No 1, 2012. MINING ENGINEERING127

    Fig. 1.Belt conveyor T.109

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    No 1, 2012. MINING ENGINEERING128

    3 .CALCULATION OF REVERSAL

    MOTION OF THE BELT

    CONVEYOR T.109

    1. Calculation was aimed to determinethe brake torque required for belt con-veyor backstopping device, mounted onthe shaft of discharge pulley serving for

    material unloading at the end of belt con-veyor.

    Calculation is done using the contourbypass method towards [1] the reversalmotion of belt conveyor. Characteristicpoints, in which the tension forces in beltare calculated, are given in Figure 1. Cal-culation starts at point 3 at which the belt,

    during the reversal motion, ascends takeup pulley and the tension force is deter-mined by the weight of counter weight.The calculation is done from point 3 topoint 21 in the direction corresponding tothe reversal motion of the belt, whilst the

    calculation from point 4 to point 20 isdone in opposite direction. The difference

    between calculated tension forces at points20 and 21, representing ascending anddescending points of the belt at dischargepulley on whose shaft the backstoppingdevice is mounted, determines the value ofthe brake torque.

    2. Loads per meter of the belt length

    2.1. From transported material

    =

    =

    m

    N

    m

    N

    v

    gQq mter 211.1434

    6.3

    2.2. From the weight of rotary parts ofcarry side rolls

    =

    = m

    N

    m

    N

    l

    gm

    qArgr

    Argr

    Argr 9.228..

    ..

    ..

    =

    =m

    N

    m

    N

    l

    gmq

    Brgr

    BrgrBrgr 34335

    ..

    ....

    2.3. From the weight of rotary parts ofreturn side rolls

    =

    =m

    N

    m

    N

    l

    gmq

    Apgr

    ApgrApgr 857.127

    ..

    ....

    =

    =m

    N

    m

    N

    l

    gmq

    Bpgr

    BpgrBpgr 785.191

    ..

    ....

    2.4. From the belt weight

    =

    =

    m

    N

    m

    Ngmq trtr 326.241

    where:

    [ ]kgm rgr 28. = mass of rotary parts

    of carrying rolls

    [ ]ml rgAr 2.1. = distance between car-

    rying rolls type A

    [ ]kgm pgr 1.39. = -mass of rotary parts

    of return rolls

    [ ]ml pgAr 3. = -distance between return

    rolls type A[ ]ml pgBr 2. = -distance between return

    rolls type B

    [ ]ml rgBr 8.0. = -distance between car-

    rying rolls type B

    [ ]kgmt 6.24= belt mass per meter

    3. Calculation of tension forces atcharacteristic points of belt conveyor:

    [ ]NF

    F zz 621522

    3 =

    =

    where i:[ ]NFz 130847= tension force

    [ ]= 95.0z efficiency of take up

    device

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    No 1, 2012. MINING ENGINEERING129

    [ ]NkFF p 6.6525932 ==

    [ ]NkFF p 3.6871821 ==

    [ ]NkFF p 4.72360123 ==

    [ ]NkFF p 5.761952322 ==

    [ ]NkFF p 9.802332221 ==

    [ ]Nk

    FF

    p

    4.192.5934 ==

    [ ]NWFF 2.580715445 ==

    [ ]N

    wLqwLqW Apgrtr

    2.1121

    54..5454

    =

    =+=

    [ ]NWFF 7.561616556 ==

    ( )[ ]NwLq

    LwLqW

    Bpgr

    VHtr

    5.190965..

    656565

    =+

    ++=

    [ ]NWFF 489327667 ==

    ( )[ ]NwLq

    wLqW

    Apgr

    tr

    9.7229

    sincos

    76..

    7676

    =+

    ++=

    [ ]NWFF 2.467468778 ==

    ( )[ ]NwLq

    LwLqW

    Bpgr

    VHtr

    8.218587..

    878787

    =+

    ++=

    [ ]NWFF 1.440019889 ==

    ( )

    [ ]NwLq

    wLqW

    Apgr

    tr

    1.2745

    sincos

    98..

    9898

    =+

    ++=

    [ ]NWFF 1.42395109910 ==

    ( )[ ]NwLq

    LwLqW

    Bpgr

    VHtr

    1606109..

    10989109

    =+

    ++=

    [ ]NWFF 1.4093911101011 ==

    [ ]NwL

    qwLqW Apgrtr

    14561110

    ..11101110

    =

    +=

    [ ]Nk

    FF

    p

    6.389891112 ==

    [ ]NWFF ut 6.389891213 =+=

    [ ]NWFF 8.3721014131314 ==

    [ ]Nw

    LqwLqW Apgrtr

    8.1778

    1413..14131413

    =

    +=

    [ ]NWFF 5.3928315141415 ==

    ( )( )

    [ ]NwLqLwL

    qqW

    Brgr

    VH

    tertr

    7.20721514..

    15141514

    1514

    =+

    +

    +=

    [ ]NWFF 5,4879316151516 ==

    ( )( )

    [ ]NwLq

    wL

    qqW

    Argr

    tertr

    9510

    sincos

    1615..

    1615

    1615

    =+

    +

    +=

    [ ]NWFF 4.5748117161617 ==

    ( )( )

    [ ]NwLqLwL

    qqW

    Brgr

    VH

    tertr

    9.86871716..

    17161716

    1716

    =+

    +

    +=

    [ ]NWFF 6.9130518171718 ==

    ( )( )

    [ ]NwLqwL

    qqW

    Argr

    tertr

    2.33824

    sincos

    1817..

    1817

    1817

    =+

    +

    +=

    [ ]NWFF 9.9672719181819 ==

    ( )( )

    [ ]NwLqLwL

    qqW

    Brgr

    VH

    tertr

    3.54221918..

    19181918

    1918

    =+

    +

    +=

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    No 1, 2012. MINING ENGINEERING130

    [ ]NWWFF str 7.8834820191920 =+=

    ( )

    [ ]N

    wLqwL

    qqW

    Argr

    tertr

    2.7791

    2019..2019

    2019

    =

    =+

    +=

    where:

    [ ]pk - coefficient of tension force

    increase due to belt windingaround pulley

    [ ]= 04,0w resistance coefficient of

    belt conveyor for trough belt pro-file and outside operation

    [ ]mL ba length of specific section

    [ ]o inclination angle of specificsection

    [ ]mL bHa length of specific section

    in horizontal projection

    [ ]mL bVa length of specific section

    in vertical projection

    [ ]NWut 0= resistance on the loading

    part of belt conveyor

    [ ]NBWstr 12490490 ==

    resistance of scraping rubber ofthe cleaner

    The required brake force, at dischargepulley, is expressed by equation:

    [ ]NFFFk 8.81142120 ==

    Brake torque on low speed shaft ofdischarge pulley is given by equation:

    [ ]NmDF

    M kkk 6.56292

    =

    =

    where:

    25.1=k braking efficiency

    [ ]mD 11.1= outer diameter of

    discharge pulley

    4. DISCUSSION OF CALCULATION

    The obtained positive value of brake

    force by calculation shows that the rever-sal motion of belt conveyor is possible atits stoppage.

    To prevent reversal motion of belt

    conveyor, a suitable device is predicted(Figure 2) which consists of a stationary

    outer race, fixed to the outer constructionwith a lever, and a rotating inner cam withramps, between which rollers turn placedin a suitable cage attached via springs tothe rotating inner cam. During the beltmotion in working direction, the rollersturn freely over the outer race while they

    are wedged between adequately profiledsurface of cam and outer race at reversalmotion. The brake torque is transferred viathe outer race and lever to the outer con-struction (Figure 3).

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    Fig. 2. The operation principle of the belt conveyor backstopping device

    Fig. 3. The assembled backstopping device of belt conveyor on discharge pulley shaft

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    5. CONCLUSION

    According to the manufacturer Falkcatalogue data [3], the backstopping de-vice with label 1105NRT has maximumallowable brake torque of 60975 Nm,which is higher than the needed one,meaning that the existing backstopping

    device satisfies.Although the low speed backstop de-

    vice, explained in this paperwork, repre-sents only one way of solving this prob-lem, it has the undoubted advantagesalong with backstop devices with pawland high speed backstops, first of all insimple assembling, quite and reliable op-

    eration and long operating life.

    6. REFERENCES

    [1] S. Toi: Calculation of ContinuousTransport Appliances and LiftingDevices, Faculty of MechanicalEngineering, University of BelgradeBelgrade, 1994 (in Serbian);

    [2] Z. Ili, B. Rajkovi: Detail MechanicalDesign of Transport System forConnecting the Crusher of MineOverburden System with Polar Stackerfor the Primary Crushed Ore at theOpen Pit Veliki Krivelj, Mining andMetallurgy Institute, Bureau MEGA,Bor, 2011 (in Serbian);

    [3] Catalogue: Falk True Hold Low SpeedBackstops.