BELTCONV[1] - CEMA

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    Belt Conveyor Calculations as per CEMA

    1.Following six profiles are introduced in the conveyor program me:

    2.

    Horizontal (i) Inclined (ii) (iii) (iv)

    Horizontal + Inclined +

    Inclined Horizontal

    (v)

    Horizontal, Inclined & (vi)

    Horizontal Inclined, Horizontal & Inclined

    The program calculates all the dimensional details, after receiving the values of certaininput parameters, with respect to the selected profile.

    Input parameters to be provided for profile no.: -

    (i) c/c Horizontal length (m)

    (ii) c/c Horizontal length (m)

    Inclination (Deg) / Lift (m)

    (iii) & (iv) c/c Horizontal length (m)

    Length of horizontal portion (m), Inclination (Deg) / Lift (m)

    (v) c/c Horizontal length (m)

    Horizontal lengths (m)

    Inclination (Deg) / Lift (m)

    (vi) c/c Horizontal length (m)

    Length of horizontal portion (m)

    Base lengths (m)

    Lift (m) / Inclination (Deg)

    Internal calculations are based on pounds, feet/inches system, but inputparameters are always fed in SI units (ex. metres)

    All final dimensional details are determined here itself and the same

    values will be carried on in futher calculations.

    2. Following material characteristics are entered:-

    Volumetric & power densities - These values are taken from CEMA for

    respective materials. Sometimes for a material, two values are given, then lowervalue is considered as volumetric density and the higher one as power density.

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    Volumetric bulk density is used to check capacity & power density to determine the

    final power requirements.

    Angles of surcharge & repose are also entered / taken from database as per

    CEMA. Five options for angle of surcharge are 0

    0

    , 10

    0

    , 15

    0

    , 20

    0

    , 30

    0

    .Values of volume & power densities, angles of surcharge & repose can be

    changed if required.

    Troughing angle is selected out of 4 alternatives (200,300,350,450).

    3. Capacity calculations :-

    Basic formula for calculating capacity is -

    Capacity (Q) TPH = Area of cross x Belt sppeed x 3600 x vol. bulk densitysection (m2) (m/sec) (T/m3)

    x Inclination factor

    This comes into picture only for conveyors having inclination & values are provided in

    the program as per graph in IS-11592.

    Capacity

    Belt Speed These three parameters are interdependent. If two

    Area are known, third can be calculated.

    (Belt width) Area of cross-section can be calculated with known valves

    of Belt Width (inches), troughing and surcharge angles & the procedure for calculating

    this area is taken from CEMA. Hence, we can conclude that,

    If Data given is of :- Program will select

    (i) Belt width, capacity - Min. belt speed (m/sec)

    (ii) Belt width, Belt speed - Max. capacity (TPH)

    (iii) Capacity, Belt speed - Min. belt width (mm)

    Belt width range consists of following belt widths in mm :-

    400, 500, 650, 750, 800, 900, 1000, 1200, 1400, 1600.

    4. Belting Selection :-Belt selection i.e. rating, duty will be as per DUNLOP catalogue

    only.Min.belt widths for adequate troughing of empty belts for 350troughing

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    angle are kept same as those for 450troughing angle. For determining

    top/bottom cover thicknesses, Nirlon catalogue is referred.

    Belting gets selected as follows -

    Belt width (mm) - Known value/ given by the clientDuty - General/Extra/Heavy

    Default option

    If we want to change this default option in the beginning itself, we can. If rating

    is out of the range of general duty, the program clearly indicates so on the

    screen, conveying that the user has to go for higher duty.

    Material abrasiveness, temperature - Known parameters

    Temperature Grade Factor for calculating belt weight

    75 M24 1.1 Std. value

    120 HR 1.21 10 % more on std value

    180 SHR 1.265 15 %

    200 UHR 1.375 25 %

    FR 1.32 20 %

    This information is provided by Mr.Nair of M/s Ashish

    Enterprises on 18.09.98.

    Knowing belt width, material density (power density) and troughing angle, it checks

    both criteria of adequate load support and adequate troughing of empty belt, & thenselects Primary belting (Belt rating).

    If material density exceeds 2.5 T/m3, same values of belt widths for 2.5T/m3areassigned.

    It also calculates top cover thickness of the belt -

    Loading cycle = 2 x conv. developed length (m)

    Belt speed (m/sec)

    = _________ sec

    If this value lies in between two standard values, select lower value of loading cycle

    with respect to material abrasiveness & lump size.Bottom cover thickness with respect

    to material abrasiveness is as follows :-

    Non-abrasive - 1.5 mm

    Abrasive - 2 mm

    Very abrasive - 2.5 mmWe can also enter top/bottom cover thicknesses as per requirement.

    After selecting min. belt rating, now we can calculate belt weight -

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    Wb= constant factor x [top cover thk(mm) +Bottom cover thk(mm)]+Nominal

    carcass weight (kg/m2)

    X Belt width (mm) X 0.6722

    1000

    =------lbs/ft

    5. Weight of material is calculated as follows -

    Wm= Capacity (TPH) x 1000 x 0.6722 = ________ lbs/ft.

    3600 x belt speed (m/sec)

    6. Idler rating :-

    Max. Idler spacing by default is entered as per table in IS-11592. Option

    is open to reduce this spacing as per the client requirement.

    Belt Width (mm) Carrying Idler spacing (m) for

    material density of

    Return Idler spacing

    (m)

    0.4-1.2 T/m3 1.2-2.8 T/m3

    400 1.2 1.2 3

    500 1.2 1.2 3

    600 1.2 1.2 3

    650 1.2 1.2 3

    750 1.2 1.2 3800 1.2 1.2 3

    900 1.2 1.2 3

    1000 1.2 1.2 3

    1200 1.2 1.2 3

    1400 1.0 0.75 3

    1600 1.0 0.75 3

    Now, Idler load (Il) = (Wb+ Wm)Si

    = ___________ lbs

    Adjusted load = Il x K1x K2x K3x K4 Belt Speed correction factor

    Service factor

    Lump Adjustment Environmental & maintenance factor

    factor

    [K2= 1.06, K3= 1.2] These two values are freezed.

    K1= If the values of lump size (inches) and material density fall in between two

    standard values, then select the higher values for K1.

    K4= Select the roll dia. as it is & higher belt speed to decide the value of K4.

    If K1,K2,K3,K4< 1, take it equal to 1.

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    If Adjusted load < Idler load, take Al= Il.

    Some assumptions are made to decide the value of Ai :-

    Pipe OD (mm) Respective OD (inches) adjusted Duty type Ai as per CEMA

    76.1 4 A, B , C 2.3

    88.9 4

    114.3 5 A, B , C ,D 1.8

    127 5

    139.7 6 C, D 1.5

    152.4 6

    165.1 7 E 2.4168.3 7

    Now with respect to belt width and troughing angle duty type is decided i.e. whether

    idler rating is A, B, C, D or E. These values tabulated below are interpolated from

    CEMA for belt widths available in India.

    A type - Belt Width (mm) Troughing Angle Return Idler

    20 30 35 45

    400 300 300 300 297 150

    500 300 300 300 297 143600 300 300 300 290 127

    650 300 295 295 284 119

    750 300 282 282 270 102

    800 294 275 275 265 94

    900 278 259 259 251 78

    B type - Belt Width (mm) Troughing Angle Return Idler

    20 30 35 45

    400 410 410 410 410 220

    500 410 410 410 410 212

    600 410 410 410 410 192

    650 410 410 410 410 184

    750 410 410 410 410 167

    800 410 410 410 407 163

    900 410 410 410 398 156

    1000 399 384 384 371 147

    1200 382 355 355 344 132

    C type - Belt Width (mm) Troughing Angle Return Idler20 30 35 45

    400 900 900 900 900 475

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    500 900 900 900 900 433

    600 900 900 900 900 330

    650 900 900 900 900 306

    750 900 900 900 900 256

    800 900 885 885 878 238900 900 843 843 819 205

    1000 872 812 812 785 172

    1200 807 750 750 726 129

    1400 741 690 690 667

    D type - Belt Width (mm) Troughing Angle Return Idler

    20 30 35 45

    650 1200 1200 1200 1200 600

    750 1200 1200 1200 1200 600

    800 1200 1200 1200 1200 600

    900 1200 1200 1200 1200 6001000 1200 1200 1200 1200 544

    1200 1200 1200 1200 1200 435

    1400 1191 1108 1108 1056 358

    1600 1125 1032 1032 1013 249

    1800 1060 986 986 954 167

    E type - Belt Width (mm) Troughing Angle Return Idler

    20 30 35 45900 1800 1800 1800 1800 1000

    1000 1800 1800 1800 1800 1000

    1200 1800 1800 1800 1800 1000

    1400 1800 1800 1800 1800 912

    1600 1800 1800 1800 1800 813

    1800 1800 1800 1800 1800 715

    2000 1800 1730 1730 1699 616

    Now, we get Aivalue, once we fix the combination of [Duty type - Roller dia]

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    A, B, C, D, E 4, 5, 6, 7 inches

    7. Kx= 0.00068 (Wb+ Wm) + Ai

    Si

    Kycalculations :- For each portion of the profile, Kyis calculated seperately. Kyselection is as per two tables in CEMA on pg. No. 78, 79.

    (i) Conveyor length Lower value if it lies in between two points.

    (ii) Wb+ Wm Interpolate

    (iii) Percent Slope Lower side

    With respect to this data, decide primary value of Ky. But this is for certain

    specific spacing. These idler spacings are in ft (3,3.5,4,4.5,5). Converting it to

    metres, gives the values, which are nearly equal to generally recommended idler

    spacings.

    Then corrected Kyvalues are decided from next table in CEMA on pg 80.

    Here correct idler spacing is used for a range of (Wb+ Wm).

    All the basic parameters required for calculating effective tension are now availableat this stage.

    Default roller diameter for carrying, return & impact idlers are also put in the

    program with respect to belt width, which are as follows :-

    (This information is picked up from one of the enquiries of Grasim cements where the

    consultants were Holtec ltd.)

    Belt Width (mm) Roller dia for Impact idler

    C.I/SACl R.I/SARI Roller dia/Rubber ring OD

    400 88.9 76.1 76.1/114.3

    500 88.9 76.1 76.1/114.3

    600 114.3 89 76.1/114.3

    650 114.3 89 76.1/114.3

    750 114.3 89 76.1/114.3

    800 139.7 114.3 88.9/165

    900 139.7 114.3 88.9/165

    1000 139.7 114.3 88.9/165

    1200 139.7 114.3 88.9/165

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    1400 152.4 139.7 114.3/190

    1600 152.4 139.7 114.3/190

    8. Effective tension calculations :-Idler friction, Tx= Kt[Kxcarrying + Kxreturn] x L

    developed = ___ ft

    Value calculated 0.015 length (ft)

    above always

    Resistance of belt dlexure as it moves over the idlers.

    Tyb = Tyc + Tyr

    for carrying & return sides

    Tyc for profile nos -

    (i) & (ii) = l x Kyx Wbx Kt= _______ lbs

    Tyr for all profiles = l x 0.015 x Wbx Kt

    fixed always

    Resistance of material flexure as it rides the belt over the idler -Tym for profile nos -

    (i) & (ii) = L x Kyx Wm = _______ lbs

    (iii) & (iv) = [L1x Ky1+ L2x Ky2+ L3x Ky3] x Wm

    (v) & (vi) = [L1x Ky1+ L2x Ky2+ L3x Ky3] x Wm

    Force needed to lift the load -

    For profiles (ii), (iii), (iv) & (v) Tm= Lift (ft) x Wm(lbs/ft)

    = _______ lbs

    Resistance of belt to flexure around pulleys & resistance of pulleys to rotate on their

    bearings - (Tp)

    Following databases are introduced to the program to ease calculations -

    Screw VGT HGT

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    1800 0.84 0.5 1.2 0.8

    2000 0.72 0.42 1 0.7

    2100 0.66 0.38 1 0.7

    2200 0.62 0.35 0.9 0.6

    240

    0

    0.54 0.54 0.8 0.6

    T1(KN) = T1(lbs) x 9.81

    2.204 1000

    Now following ratio is checked and it should be less than 80 %.

    T1 < 80 %

    Belt width (m) x TmaxIf it exceeds 80 %, the program displays a message & goes on the higher side to select

    new rating. If belting is not available in that duty, then change the duty, appearing on

    the screen in belting module. This procedure is continued, till safe belting is selected.

    Now with the belt weight of this selected belting, again Teis calculated & checked

    whether T1/Tmaxis less than 80 %. Once the belting is finalised, then, depending on

    the % value of T1/Tmax, pulley diameters are also decided in conjunction with carcass

    thickness of selected belt as follows :-

    Carcass thickness (mm)

    from - upto & including

    60 - 80 % 0 - 60 %

    Head(H) Tail/Bend

    (T)

    Snub(S) H T S

    2.8 - 3.5 323 273 219

    3.6 - 4.4 400 323 273 323 273 219

    4.5 - 5.5 500 400 323 400 323 273

    5.6 - 7.0 630 500 400 500 400 323

    7.1 - 8.8 800 630 500 630 500 400

    8.9 - 11.1 1000 800 630 800 630 500

    Pulley diameters are decided only after Belting selection is finalised.

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    If wrap angles over head pulley & other pulleys also are not specified, then theprogram will select the following tabulated valves -

    Profile No (i) (ii) (iii) (iv) (v) (vi)

    S V H S V H S V H S V H S V H SV HHead Pulleya. without

    snub

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    = ___________ mm/1000 = ________________ m

    Drive pulley rpm = 60 x belt speed (m/sec) = ____________ rpm

    x pulley dia (m) (value)

    Gear box ratio = 1440 = ______________

    Drive pulley rpmMotor is selected, based on gear box efficiencies depending on whether KW required at

    conveyor pulley shaft is less or greater than 30 KW. Now, if we want to change the

    type of gear box, change it here only -

    If gear box type is changed, accordingly efficiency will change & absorbed as

    well as rated KW of motor will also change.

    Once we specify the type of gear box, to arrive at proper size, the program follows the

    following path -

    Gear Box

    Helical

    Bevel Helical

    Worm Solid Shaft Hollow Shaft

    Solid Shaft Hollow Shaft

    NU SBN/SCN

    FSM It will go Foot Shaft KBN/KCN Foot Shaft

    downward while mounted mounted mounted mounted selecting the correct

    gear box size SBH/SCH SBA/SCA KBH/KCH KBA/KCA

    The program will go from B to C i.e. from double to triple

    reduction to select correct gear box size & ratio.

    A separate gear box screen is introduced, which on getting the correct data selects

    suitable gear box size -

    Absorbed Power

    Gear box selection based on Rated Power Default Option Type of gear box Worm

    Helical

    Bevel Helical

    Shafting Solid Foot mounting

    Hollow

    Shaft mounting

    Service factor 1.5 (Default value)

    option open to changeNow, if gear box type selected is -

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    1. Worm

    Min. hp required for gear box = Absorbed/Rated motor x Gear box

    hp hp service factor

    = ___________ hp

    Now the gear box ratio calculated, will not be always equal to or tally with thestandard ratios available.

    Hence the program always selects the previous /lower gear box ratio.

    Now with respect to this gear box ratio, & min. hp requirement, the program

    selects the correct gear box size.

    Due to reduction in gear box ratio, belt speed of conveyor will rise. Hence the

    conveying capacity will increase for same belt width. There will also be a change in

    motor power requirement, which increases from its original value.

    (From previous page)

    Hence gear box screen is continued with -

    Required gear box ratio

    Actually selected / std gear box ratio Change in speed

    Change in hp / New hp

    Capacity increased/decreasedHence, the program will always display the lower gear box ratio selected.

    But if needed, we can select higher ratio & check whether capacity gets satisfied

    or not. As we change ratio, corresponding charges will also be observed on the

    screen. Only those ratios available in that particular series will get displayed.

    2. HELICAL/BEVEL HELICAL

    Min. KW required for gear box = Absorbed/Rated motor KW x Gear box

    service factor

    Now with this KW and selected gear box ratio, program selects suitable size.

    This portion is explained as follows :-

    Required gear box ratio = 1440

    Drpurpm

    Selected ore = ___________ (Let it be X)

    Drpurpm changed = 1440

    X

    Speed changed = x Dr.Dia x Drpurpm changed/60

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    KW changed (if any) = Te(N) x speed changed/1000

    Capacity increased = Area x increased speed x 3600 x material bulk density x Kf.

    11. Coupling selection :-

    Input coupling is selected, once motor & gear box are finalised selection

    procedure for three types of couplings is introduced in the program. (Fluid, bin

    & bush & geared).

    If, 1. Fluid Coupling

    Check, whether the coupling is with or without delay chamber. See motor KW

    selected. Select the coupling with rating equal to or greater than the above

    motor KW at 1450 rpm.

    2. Pin & bush / Geared Coupling

    Input coupling torque = 716 x Rated motor x cplg service factor x 9.81(NM)

    1440

    Select the greater value among motor shaft dia & gear box input shaft dia with respect

    to this greater value, decide the keyway portion in hub, as per the following database -

    Shaft dia (mm) [From - upto & including) Keyway portion in hub (mm)

    45 - 50 3.8

    51 - 58 4.3

    59 - 65 4.4

    66 - 75 4.9

    76 - 85 5.9

    86 - 95 5.4

    96 - 110 6.4

    111 - 130 7.4

    131 - 150 8.4

    151 - 170 9.4

    171 - 200 10.4

    201 - 230 11.423 - 30 3.3

    31 - 38 3.3

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    39 - 44 3.3

    Following two conditions are checked -

    Shaft dia of motor as well as I/p gear box should bemin.bore of coupling max.bore of coupling

    Now, Keyway portion in + 10 mm + Greater value among Hub outside dia

    hub the two shaft dias

    This value is entered in

    the coupling database

    The program will select, the correct coupling size satisfying above three conditions of

    torque, min & max bore & hub outside diameter criterion.

    Output coupling selection :-

    O/P Coupling torque = 716 x Rated motor x cplg service factor x 9.81(NM)

    (1440/Gear box ratio)

    Select the coupling with greater torque next to, calculated above & display the size.

    Hold back torque at the = Head Pulley dia (m) Force needed to lift the load (m)

    output shaft of gear box 2

    - (Idler friction (Tx) + Resistance

    of belt flexure over idlers (Tyb)

    + Resistance of material flexure

    over belt (Tym)/2)

    = ___________ lbs/ft

    = __________ x 0.4536 x 0.3048 = ____________ Kg.m

    Considering 50 % safety margin

    Hold back torque at Gear output shaft = __________ x 1.5 = __________ Kg.m

    Equivalent mass of rotating parts of conveyor :-

    Belt lengths for various types of take-ups is calculated as follows :-

    1. Screw take-up

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    Belt length = 2 x developed length (m) + 1 m +/2 [Head pulley dia + Tail

    pulley dia]

    Should consider

    bare pulley dia (m)

    2. VGT

    Belt length = 2 x developed length (m) + 1 m +

    [ Head Pulley dia + Tail Pulley dia + Take up dia ]

    2 2

    + 0.025 x developed length (m) x 2 = __________ m

    3. HGT

    Belt length = 2 x developed length (m) + 1 m +

    [ Head Pulley dia + Tail Pulley dia + Take up dia ]

    2 2

    + 0.025 x developed length (m) x 2 = __________ m

    Equivalent mass of rotating = (i) + (ii) + (iii) + (iv) + (v)

    parts of a conveyor = ___________ lbs2.204 = ______________ kgs

    (a)

    Now,

    i. Belt weight = Total belt length (ft) x Wb (lbs/ft) = __________ lbs

    ii. Weight of rotating parts = Weight of rotating parts of unit idler (lbs)

    of carrying idler x Total developed length (ft)

    Carrying idler spacing (ft)

    iii. Weight of rotating parts = Weight of rotating parts of unit idler

    of return idler x Total developed length (ft)

    Return idler spacing (ft)

    iv. Material weight = Developed length (ft) x Wm= ____________ lbs

    v. Equivalent weight of = 2/3 Tail pulley wt + Snub pulley wt (lbs) +

    non-driving pulleys + Take-up pulley wt (lbs) + No of bends pulleys

    x bend pulley wt (lbs)

    G92value of conveyor, reterred = a

    to motor shaft x motor rpm (1440) 2

    belt speed (m/sec) x 60

    = _____________ kg.m2Total G92of conveyor

    without motor at motor

    shaft

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    = (x + y)

    Mass of rotating parts of conveyor without drive m1= a

    9.81

    = _________ kg/m/sec2

    = ________ x 2.2043.28

    = __________ lbs.sec2

    G92value of drive unit = G92of motor

    + Gear Box

    + Input Coupling

    + Output Coupling

    Mass of Drive unit reterred = b xx motor rpm (1440)

    to belt line 9.81 belt speed (m/sec) x 60

    = ___________ Kg/m/sec2= ________ x 2.204

    3.28

    = ___________ lbs.sec2/ft

    Total equivalent mass of conveyor

    referred to belt line = A + B

    = ________________ lbs.sec2/ft

    Component (V) To find out weights of pulley

    We, at this stage dont know the shaft diamters of pulleys. Hence assume the

    following shaft diameters with respect to pulley diameters -

    Pulley Dia Shaft dia to be assumed to

    be consider pulley weight

    219 50

    273 60323 75

    400 90

    500 100

    630 100

    800 125

    1000 140

    Let G- starting force produced, by drive unit considering average starting torque 160 %

    of motor rated torque.

    G = 1.6 x motor hp x Gear box x 75

    Belt Speed (m/sec)

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    = _____________ Kg.f

    = ________ x 2.204

    = _______________ lbs

    Acceleration= G - Te= lbs

    m lbs.sec2/ft

    = _________ ft/sec2

    Effective force during starting,

    Test= Gx m1

    = _________ lbs

    T1st= e0,= co-efficient of friction

    T2st = 0.25 -- for base head pulley

    = 0.85 -- for lagged pulley

    = Wrap angle over head pulleyT1st= e

    0. T2st

    But Test= T1st- T2st = T2st.e

    o- T2st

    = T2st(e0- 1)

    T2st= Test/(e0- 1)

    T1st= Test+ T2st

    For calculating tensions of various points in the profile, it is assumed that snub

    pulley is always present in the conveyor. Take up travel is considered 3% of

    developed length in case of screw take-up & 2.5% in the case of VGT & HGT.

    Separate calculations with respect to profile & type of take-up are introduced in

    the program.

    Profile No. 5 - (v) (Horizontal, inclined & horizontal), HGT (Elecon type)

    T3st= T2st+ 100 +x mass of snub pulley x 2.204 + Texternal scraper

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    32.2

    = T2st+ 100 +x mass of snub pulley x 2.204 + 5 x 2 x Belt width (mm)

    32.2 25.4

    = __________ lbs

    T4st= T3st[0.015 x L4(H) + 0.015 x L4(ft) x Wb(lbs/ft)] + x L4(ft) [Wb(lbs/ft) +

    32.2

    Wt. of rotating parts of unit return idler (lbs)]

    = ___________ lbs

    T5st= T4st+ 100 +x mass of bend pulley x 2.204 - H5(ft) x Wb(lbs/ft)

    = ________ lbs

    T6st= T5st+ 100 +x mass of bend pulley x 2.204 = _________ lbs

    32.2

    T7st= T7st+ 100 +x mass of take-up pulley x 2.204 = _________ lbs

    32.2

    T9st= T8st+ 100 +x mass of bend pulley x 2.204 = __________ lbs

    32.2

    Considering four fall, wire rope arrangement, at take-up tower,

    Min. counter weight = (T6st+ T7st) x 2

    = _____________ lbs/2.204 = ___________ Kgs.

    (Make it a round figure, to ensure no slip)

    From this calculated counter weight, fixed normal running full load belt tensions are

    worked out as follows :-

    T6= Counter weight (lbs)/4 = ________ lbs = T7T5= T6- 100

    T4= T5- 100 + H5(ft) x Wb(lbs/ft) = ____________ lbs

    T3= T4- [0.015 x L4(g)+ 0.015 x L4x Wb] = ________________ lbs

    T2= T3- 100 = ______________ lbsT1= T2+ Te+ 5 x 2 x Belt Width (mm) - H7x Wb+

    25.4

    (0.015 x L10+ 0.015 x L10x Wb(lbs/ft) = ______________ lbs

    T11= T10+ 100 = _______________ lbs

    Profile No. 5 (v) VGT Horizontal, Inclined & Horizontal

    Effective force during starting,

    Test= Gx m1

    = _________ lbs

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    T1st= e0,= co-efficient of friction

    T2st = 0.25 -- for base head pulley

    = 0.85 -- for lagged pulley

    = Wrap angle over head pulley

    T1st= e0. T2st

    But Test= T1st- T2st = T2st.e

    o- T2st

    = T2st(e0- 1)

    T2st= Test/(e0- 1)

    T1st= Test+ T2st

    T3st= T2st+ 100 +x mass of snub pulley x 2.204 + Texternal scraper

    32.2

    = T2st+ 100 +x mass of snub pulley x 2.204 + 5 x 2 x Belt width (mm)

    32.2 25.4

    = __________ lbs

    T5st= T4st+ 100 +x mass of bend pulley x 2.204 - H5(ft) x Wb(lbs/ft)

    32.2

    = _______________ lbsT6st= T5st+ 100 +x mass of bend pulley x 2.204 = ___________ lbs

    32.2

    T7st= T6st+ 150 +x mass of take-up pulley x 2.204 = ___________ lbs

    32.2

    T9st= T8st+ 100 +x mass of bend pulley x 2.204 = __________ lbs

    32.2

    Considering four fall, wire rope arrangement, at take-up tower,

    Min. counter weight = (T6st+ T7st) x 2 = _____________ lbs/2.204 = __________ kgs.

    (Make it a round figure, to ensure no slip)

    From this calculated counter-weight, fixed normal running full load belt tensions are

    worked out as follows :-

    T6= Counter weight (lbs)/4 = _____________ lbs = T7T5= T6- 100

    T4= T5- 100 + H5(ft) x Wb(lbs/ft) = ____________ lbs

    T3= T4- [0.015 x L4(g)+ 0.015 x L4x Wb] = _____________ lbsT2= T3- 100 = ___________ lbs

    T1= T2+ Te+ 5 x 2 x Belt Width (mm) = ___________ lbs

    25.4

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    T8= T7+ 100 = _____________ lbs

    T9= T8+ 100 + H6x Wb= ____________ lbs

    T10= T9+ 5 + 2 x Belt Width (mm) - H7x Wb+

    25.4

    (0.015 x L10+ 0.015 x L10x Wb(lbs.ft)) = _________ lbsT11= T10+ 100 = ___________ lbs

    Profile No. 5

    Effective force during starting,

    Test= Gx m1

    = _________ lbs

    T1st= e0,= co-efficient of friction

    T2st = 0.25 -- for base head pulley

    = 0.85 -- for lagged pulley

    = Wrap angle over head pulley

    T1st= e0. T2st

    But Test= T1st- T2st = T2st.e

    o- T2st

    = T2st(e0- 1)

    T2st= Test/(e0- 1)

    T1st= Test+ T2stT3st= T2st+ 100 +x mass of snub pulley x 2.204 + Texternal scraper

    32.2

    = T2st+ 100 +x mass of snub pulley x 2.204 + 5 x 2 x Belt width (mm) 32.2 25.4

    = __________ lbs

    T4st= T3st[0.015 x L4(H) + 0.015 x L4(ft) x Wb(lbs/ft)] + x L4(ft) [Wb(lbs/ft) +

    32.2

    Wt. of rotating parts of unit return idler (lbs)]

    = ___________ lbs

    T5st= T4st- (H5(ft) x Wb(lbs/ft) = _______ lbs

    T6st= T5st+ 150 +x mass of take up pulley x 2.284 = ________ lbs

    32.2

    T7st= T6st+ (H5x Wb) + 100 ++ mass of bend pulley x 2.204

    32.2

    Min. counter weight = (T5st+ T6st) = ________ lbs = ________ Kgs

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    2.204

    Normal running full load belt tensions :-

    T6= Counter weight = ___________ lbs = T5 2

    T4= T5-100 + H5x Wb= ____________ lbsT3= T4- [0.015 x l4+ 0.015 x l4x Wb] = _________ lbs

    T2= T3- 100 = _________ lbs

    T1= T2+ Te+ 5 x 2 x Belt Width (mm)/25.4 = ________ lbs

    T7= T6+ (H5x Wb) = ________ lbs + 100

    T8= T7+ 5 x 2 x Belt width (mm) - H7x Wb+ (0.015 x l10+ 0.015 x Wb)= _____ lbs

    25.4

    T9= T8+ 100 = ___________ lbs

    Profile No. (vi)

    Test= Gx m1

    = _________ lbs

    T1st= e0,= co-efficient of friction

    T2st = 0.25 -- for base head pulley = 0.85 -- for lagged pulley

    = Wrap angle over head pulley

    T1st= e0. T2st

    But Test= T1st- T2st = T2st.e

    o- T2st

    = T2st(e0- 1)

    T2st= Test/(e0- 1)

    T1st= Test+ T2stT3st= T2st+ 100 +x mass of snub pulley x 2.204 + Texternal scraper

    32.2

    = T2st+ 100 +x mass of snub pulley x 2.204 + 5 x 2 x Belt width (mm)

    32.2 25.4

    = __________ lbs

    T4st= T3st+[0.015 x l4+ 0.015 x l4x Wb] +x l4x [Wb+ wt. of rotating parts of

    32.2 unit return idler wt] = -H5x Wb= _____________ lbs

    T5st= T4st+ 100 +x mass of bend pulley x 2.204 - H6x Wb= _________ lbs

    32.2

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    T6st= T5st+ 100 +x mass of bend pulley x 2.204 = ________ lbs

    32.2

    T7st= T6st+ 160 +x mass of bend pulley x 2.204 = ________ lbs

    32.2

    T8st= T7st+ 100 +x mass of bend pulley x 2.204 = ________ lbs 32.2

    T9st= T8st+ 100 + H7x Wb= ___________ lbs

    Assuming four full wire rope arrangement,

    min. counter weight = T6st+ T7st= __________ lbs2

    Normal running full load belt tension,

    T6= Counter weight = T7= ___________ lbs

    4

    T5= T6- 100

    T4= T5- 100 + (H6x Wb) = ___________ lbs

    T3= T4- [0.015 x l4+ 0.015 x l4x Wb] + H5x Wb= __________ lbs

    T2= T3- 100

    T1= Te+ T2+ 5 x 2 x Belt Width (mm) = _______ lbs

    25.4

    T8= T7+ 100T9= T8+ 100 + H7x WbT10= T9+ 5 x 2 x Belt Width (mm) - H8x Wb+ [0.015 x l10+ 0.015 x l10x Wb]

    25.4 = ___________ lbs

    T11= T10+ 100 = __________ lbs

    Profile (vi) Inclined, horizontal & inclined VGT

    Test= Gx m1

    = _________ lbs

    T1st= e0,= co-efficient of friction

    T2st = 0.25 -- for base head pulley

    = 0.85 -- for lagged pulley

    = Wrap angle over head pulley

    T1st= e0. T2st

    But Test= T1st- T2st

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    = T2st.eo- T2st

    = T2st(e0- 1)

    T2st= Test/(e0- 1)

    T1st= Test+ T2stT3st= T2st+ 100 +x mass of snub pulley x 2.204 + Texternal scraper

    32.2

    = T2st+ 100 +x mass of snub pulley x 2.204 + 5 x 2 x Belt width (mm)

    32.2 25.4

    = __________ lbs

    T4st= T3st+[0.015 x l4+ 0.015 x l4x Wb] +x l4x [Wb+ wt. of rotating parts of

    32.2 unit return idler wt]

    = -H5x Wb= _____________ lbs

    T5st= T4st+ 100 +x mass of bend pulley x 2.204 - H6x Wb= _________ lbs

    32.2

    T6st= T5st+ 100 +x mass of bend pulley x 2.204 = ________ lbs

    32.2

    T7st= T6st+ 160 +x mass of bend pulley x 2.204 = ________ lbs

    32.2

    T7= T6+ 100 + H7x Wb =______________ lbs

    T8= T7+ 5 x 2 x Belt Width (mm) - H8x Wb+ [0.015 x l10+ 0.015 x l10x Wb]

    25.4

    T9= T8+ 100 = ___________ lbs

    Profile No. (i) Horizontal - Screw take up

    Test= Gx m1

    = _________ lbs

    T1st= e0,= co-efficient of friction

    T2st = 0.25 -- for base head pulley

    = 0.85 -- for lagged pulley

    = Wrap angle over head pulley

    T1st= e0. T2st

    But Test= T1st- T2st = T2st.e

    o- T2st

    = T2st(e0- 1)

    T2st= Test/(e

    0

    - 1)T1st= Test+ T2stT3st= T2st+ 100 +x mass of snub pulley x 2.204 + Texternal scraper

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    32.2

    = T2st+ 100 +x mass of snub pulley x 2.204 + 5 x 2 x Belt width (mm)

    32.2 25.4

    = __________ lbs

    Assuming tension at the at tail pulley is at least equal to min. tension T0, for % seq -

    Options - 2% T4= 6.25 Si (ft) [Wb+ Wm] = _________ lbs

    T5= T4+ 100

    T3= T4-[0.015 x l4+0.015 x l4x Wb] = __________ lbs

    T2= T3- 100

    T1= Te+ T2+ 5 x 2 x Belt Width (mm) = _________ lbs

    25.4

    Profile (i) Horizontal VGT

    Test= Gx m1

    = _________ lbs

    T1st= e0,= co-efficient of friction

    T2st = 0.25 -- for base head pulley

    = 0.85 -- for lagged pulley

    = Wrap angle over head pulley

    T1st= e0. T2st

    But Test= T1st- T2st = T2st.e

    o- T2st

    = T2st(e0- 1)

    T2st= Test/(e0- 1)

    T1st= Test+ T2stT3st= T2st+ 100 +x mass of snub pulley x 2.204 + Texternal scraper

    32.2

    = T2st+ 100 +x mass of snub pulley x 2.204 + 5 x 2 x Belt width (mm) 32.2 25.4

    = __________ lbs

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    T4st= T3st+ [0.015 x l4+ 0.015 x l4x Wb] + x l4(ft) [Wb+ Wt of rotating parts

    32.2 of unit return idler]

    T5st= T4st+ 100 ++ mass of the bend pulley x 2.204 - (H5x Wb) = _________ lbs

    32.2

    T6st= T5st+ 150 ++ mass of take up pulley x 2.204 32.2

    T7st= T6st+ 100 ++ mass of bend pulley x 2.204 + (H5x Wb) = ________ lbs

    32.2

    Min. counterweight = (T5st+ T6st) = ___________ lbs

    Normal running full load belt tensions :-

    T6= Counter weight = ___________ lbs = T52

    T4= T5- 100 + (H5x Wb) = _________ lbs

    T3= T4- [0.015 x l4+ 0.015 x l4x Wb] = _________ lbs

    T2= T3- 100

    T1= Te+ T2+ 5 x x Belt width (mm) = _________ lbs

    25.4

    T7= T6+ 100 + (H5x Wb) = ___________ lbs

    T8= T7+ 5 x 2 x Belt Width (mm) + (0.015 x l8+ 2.015 x l8x Wb(lbs/ft)= _____ lbs

    25.4

    T9= T8+ 100 = _________ lbs

    Profile (i)

    Considering four full wire rope arrangement, at take up tower,

    min. counter weight = (T8st+ T7st) x 2 = __________ lbs

    Normal running, full load belt tensions :-

    T6= Counter weight = __________ lbs = T7

    4T5= T6- 100

    T4= T5- 100 + (H5x Wb) = ________ lbs

    T3= T4- [0.015 x l4+ 0.015 x l4x Wb] = __________ lbs

    T2= T3- 100 = _________ lbs

    T1= T2+ Te+ 5 x 2 x Belt width (mm) + [0.015 x l10+ 0.015 x l10x Wb]

    25.4

    T11= T10+ 100 = ___________ lbs

    Profile (ii) Inclined Screw Take up

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    Test= Gx m1

    = _________ lbs

    T1st= e0

    ,= co-efficient of frictionT2st = 0.25 -- for base head pulley

    = 0.85 -- for lagged pulley

    = Wrap angle over head pulley

    T1st= e0. T2st

    But Test= T1st- T2st = T2st.e

    o- T2st

    = T2st(e0- 1)

    T2st= Test/(e0- 1)

    T1st= Test+ T2st

    T3st= T2st+ 100 +x mass of snub pulley x 2.204 + Texternal scraper

    32.2 = T2st+ 100 +x mass of snub pulley x 2.204 + 5 x 2 x Belt width (mm)

    32.2 25.4

    = __________ lbs

    T4= min. tension with respect to % seq.

    T5= T4+ 100 = ___________ lbs

    T3= T4+ H5x Wb- 0.015 x l4x Wb= __________ lbs

    T2= T3+ 100

    T1= T2+ Te+ 5 x 2 x Belt width (mm) = _________ lbs 25.4

    Profile (ii) VGT

    Test= Gx m1

    = _________ lbs

    T1st= e0,= co-efficient of friction

    T2st = 0.25 -- for base head pulley = 0.85 -- for lagged pulley

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    = Wrap angle over head pulley

    T1st= e0. T2st

    But Test= T1st- T2st = T2st.e

    o- T2st

    = T2st(e0- 1)

    T2st= Test/(e0- 1)

    T1st= Test+ T2stT3st= T2st+ 100 +x mass of snub pulley x 2.204 + Texternal scraper

    32.2

    = T2st+ 100 +x mass of snub pulley x 2.204 + 5 x 2 x Belt width (mm)

    32.2 25.4

    = __________ lbs

    T4st= T3st+ [0.015 x l4+ 0.015 x l4x Wb] + x l4x [Wb+ wt of rotating parts

    32.2 of unit return idler]

    - H5x Wb= ___________ lbs

    T5st= T4st+ 100 +x mass of bend pulley x 2.204 - H6x Wb= ___________ lbs

    32.2

    Min. counterweight = T5st+ T6st

    Normal running, full load belt tensions :-T5= T6= Counter weight /2 = __________ lbs

    T4= T5- 100 + H6x Wb= _________ lbs

    T3= T4- [0.015 x l4+ 0.015 x l4x Wb] + H5x Wb= ___________ lbs

    T2= T3- 100

    T1= Te+ T2+ 5 x 2 x Belt Width (mm) - H8x Wb+ [0.015 x l10+ 0.015 x l10x Wb]

    25.4 = ______________ lbs

    T7= T6+ 100 + H7x Wb

    T8= T7+ 5 x 2 x Belt Width (mm) - H8x Wb+ [0.015 x l10+ 0.015 x l10x Wb] =25.4 = ___________ lbs

    T9= T8+ 100 = ____________ lbs

    Profile (ii) HGT (Elecon type)

    Test= Gx m1

    = _________ lbs

    T1st= e0,= co-efficient of friction

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    T2st = 0.25 -- for base head pulley

    = 0.85 -- for lagged pulley

    = Wrap angle over head pulley

    T1st= e0

    . T2st

    But Test= T1st- T2st = T2st.e

    o- T2st

    = T2st(e0- 1)

    T2st= Test/(e0- 1)

    T1st= Test+ T2stT3st= T2st+ 100 +x mass of snub pulley x 2.204 + Texternal scraper

    32.2

    = T2st+ 100 +x mass of snub pulley x 2.204 + 5 x 2 x Belt width (mm)

    32.2 25.4

    = __________ lbs

    T4st= T3st+ [0.015 x l4+ 0.015 x l4x Wb] + x l4x [Wb+ wt of rotating parts

    32.2 of unit return idler]

    - H5x Wb= ___________ lbs

    T5st= T4st+ 100 +x mass of bend pulley x 2.204 - H6x Wb= ___________ lbs

    32.2T6st= T5st+ 100 +x mass of bend pulley x 2.204 = _________ lbs

    32.2

    T7st= T6st+ 150 +x mass of take up pulley x 2.204 = __________ lbs

    32.2

    T8st= T7st+ 100 +x mass of bend pulley x 2.204 = ____________ lbs

    32.2

    T9st= T8st+ 100 +x mass of bend pulley x 2.204 = __________ lbs

    32.2 + H7x WbMin. counterweight, assuming four fall wire rope arrangement = T6st+ T7st

    2

    T6= Counter weight/4 = T7= ____________ lbs

    T5= T6- 100 = ____________ lbs

    T4= T5- 100 + [H6x Wb] = _________ lbs

    T3= T4+ H5x Wb- [0.015 x l4+ 0.015 x l4x Wb] = ___________ lbs

    T2= T3- 100,

    T1= T2+Te+ 5 x 2 x Belt Width (mm) = __________ lbs 25.4

    T8= T7+ 100

    T9= T8+ 100 + H7x Wb= ______ lbs

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    T10= T9+ 5 x 2 x Belt Width (mm)/25.4 - H8x Wb

    + [ 0.015 x l10+ 0.015 x l10x Wb] = _____________ lbs

    T11= T10+ 100 = ______________ lbs

    Profile (iii) Screw

    Test= Gx m1

    = _________ lbs

    T1st= e0,= co-efficient of friction

    T2st = 0.25 -- for base head pulley

    = 0.85 -- for lagged pulley

    = Wrap angle over head pulley

    T1st= e0. T2st

    But Test= T1st- T2st = T2st.e

    o- T2st

    = T2st(e0- 1)

    T2st= Test/(e0- 1)

    T1st= Test+ T2st

    T3st= T2st+ 100 +x mass of snub pulley x 2.204 + Texternal scraper

    32.2 = T2st+ 100 +x mass of snub pulley x 2.204 + 5 x 2 x Belt width (mm)

    32.2 25.4

    = __________ lbs

    T4st= min. tension with respect to % seq.

    T5= T4+ 100 = ______________ lbs

    T3= T4- [0.015 x l4 + 0.015 xl4x Wb] + H5x Wb= ________________ lbs

    T2= T3+ 100

    T1= T2+ Te+ 5 x 2 x Belt width (mm) = _________ lbs

    25.4

    VGT :

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    Profile (i) Horizontal VGT

    Test= Gx m1

    = _________ lbs

    T1st= e0,= co-efficient of friction

    T2st = 0.25 -- for base head pulley

    = 0.85 -- for lagged pulley

    = Wrap angle over head pulley

    T1st= e0. T2st

    But Test= T1st- T2st = T2st.e

    o- T2st

    = T2st(e0- 1)

    T2st= Test/(e0- 1)

    T1st= Test+ T2stT3st= T2st+ 100 +x mass of snub pulley x 2.204 + Texternal scraper

    32.2

    = T2st+ 100 +x mass of snub pulley x 2.204 + 5 x 2 x Belt width (mm)

    32.2 25.4

    = __________ lbs

    T4st= T3st+ [0.015 x l4+ 0.015 x l4x Wb] + x l4(ft) [Wb+ Wt of rotating parts

    32.2 of unit return idler]

    T5st= T4st+ 100 ++ mass of the bend pulley x 2.204 - (H5x Wb) = _________ lbs

    32.2

    T6st= T5st+ 150 ++ mass of take up pulley x 2.204

    32.2

    T7st= T6st+ 100 ++ mass of bend pulley x 2.204 + (H5x Wb) = ________ lbs

    32.2

    Min. counterweight = (T5st+ T6st) = ___________ lbs

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    Normal running full load belt tensions :-

    T6= Counter weight = ___________ lbs = T5 2

    T4= T5- 100 + (H5x Wb) = _________ lbsT3= T4- [0.015 x l4+ 0.015 x l4x Wb] = _________ lbs

    T2= T3- 100

    T1= Te+ T2+ 5 x x Belt width (mm) = _________ lbs

    25.4

    T7= T6+ 100 + (H5x Wb) = ___________ lbs

    T8= T7+ 5 x 2 x Belt Width (mm) + (0.015 x l8+ 2.015 x l8x Wb(lbs/ft)= _____ lbs

    25.4

    T9= T8+ 100 = _________ lbs

    HGT :

    T6= Counter weight = ___________ lbs = T52

    T4= T5- 100 + (H5x Wb) = _________ lbs

    T3= T4- [0.015 x l4+ 0.015 x l4x Wb] = _________ lbs

    T2= T3- 100

    T1= Te+ T2+ 5 x x Belt width (mm) = _________ lbs

    25.4T7= T6+ 100 + (H5x Wb) = ___________ lbs

    T8= T7+ 5 x 2 x Belt Width (mm) + (0.015 x l8+ 2.015 x l8x Wb(lbs/ft)= _____ lbs

    25.4

    T9= T8+ 100 = _________ lbs

    T10= T9+ 5 x 2 x Belt Width (mm) + [0.015 x l10+ 0.015 x l10x Wb] - H7x Wb

    = ___________ lbs

    T11= T10+ 100 = _____________ lbs

    After calculating tensions at various points, with respect to profile, proceed with the

    follwing :-

    Rated belt tensions = ________________ (KN/m) width

    = ________________ KN/belt width (m) (eg. 50 KN/m)

    ex. = 50 x 103

    9.81

    = _________ kgs x 2.204 = ___________ lbs (RBT)

    Considering starting tensions is limited to 160 % of the rated belt tension :-

    Then, allowable extra belt tension :-

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    Fa1= 1.6 x (RBT) - T1 = _______________ lbs

    Time for acceleration = M1[Belt speed (fpm)]

    60 Fa1

    t = ________________ secsMax. permissible belt tension = 1.6 x RBT = ____________ lbs

    Not to exceed, the max. permisible belt tensions, the time used for acceleration

    should not be less than t.

    - Known value calculated previously.

    Starting time of equipment = Belt speed (fpm)

    60 x

    t1 = ____________ secs

    t1> t Conveyor is safe to start fully loaded with the equipment selected.

    Coasting time calculations :-

    Mass of Conveyor system M = _______________ lbs.sec2/ft

    Kinetic energy of system = MW2

    2

    Retarding force = Effective tension = Te = _________ lbs

    Total work performed during deceleration / retardation = Te x v(fpm) x t

    2

    = MV2

    2

    Coasting time, t = MV

    Te

    = ______________ secs

    Radius calculations (during starting conditions)-With material load upto point C :

    Profile No. (v)

    Resistance of the material, as it rides the belt over the idlers :-

    Tym = l1x ky1x Wm= __________ lbs

    Effective tension, here at point C,

    Te = Tx + Tyb + Tym + Tp + Tam + Tac

    = ____________ lbs

    Material weight upto point C = l1x Wm= ____________ lbs (A)

    As calculated previously, Belt weight = ___________ lbsCarrying roller wt = ___________ lbs Let addition of

    Return roller wt = ___________ lbs these be X.

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    X = ___________ lbs

    Total mass of rotating parts = 1 ( X + A )

    (m1) 32.2

    Total equivalent mass of conveyor system = m1+ m2

    (M) = _____________ lbs.sec2/ ft

    Acceleration,= G - Te

    M

    = ___________ ft/sec2

    T10st= T9st+ (Kyreturn side+ Kyreturn sidex Wb)l1- H7x Wb+ Tbc+l1(Wb+ Wm)

    2 9

    = T9st+ (0.015 + 0.015 x Wb) x l1 only upto point C - H7x Wb+ 5 x

    i.e. the first 2

    (ft) horizontal portion

    x Belt width (mm) xl1 (Wb+ Wm)

    25.4 32.2

    = ____________ lbs

    T11st= T10st+ 150 +x 2.204 x mass of tail pulley = ______________ lbs

    32.2

    Test = T11stxl1x [Wb+ Wm+ wt. of rotating parts of unit carrying idler (lbs)]32.2

    + l1[Kx+ Ky1(Wb+ Wm)] + Tam+ Tsb= ____________bs

    Radius, Rst= 1.11 x Test

    Wb= ft= _________m

    3.28

    Pulley Shaft diameter calculations :-

    Profile No. (ii) Inclined :- with VGT/SCREW/HGT,

    SCREW

    Test= Gx m1

    = _________ lbs

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    T1st= e0,= co-efficient of friction

    T2st = 0.25 -- for base head pulley

    = 0.85 -- for lagged pulley

    = Wrap angle over head pulley

    T1st= e0. T2st

    But Test= T1st- T2st = T2st.e

    o- T2st

    = T2st(e0- 1)

    T2st= Test/(e0- 1)

    T1st= Test+ T2stT3st= T2st+ 100 +x mass of snub pulley x 2.204 + Texternal scraper

    32.2

    = T2st+ 100 +x mass of snub pulley x 2.204 + 5 x 2 x Belt width (mm)

    32.2 25.4

    = __________ lbs

    T4st= min. tension with respect to % seq.

    T5= T4+ 100 = ______________ lbs

    T3= T4- [0.015 x l4 + 0.015 xl4x Wb] + H5x Wb= ________________ lbs

    T2= T3+ 100

    T1= T2+ Te+ 5 x 2 x Belt width (mm) = _________ lbs

    25.4

    VGT :

    Profile (i) Horizontal VGT

    Test= Gx m1

    = _________ lbs

    T1st= e0,= co-efficient of friction

    T2st = 0.25 -- for base head pulley

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    = 0.85 -- for lagged pulley

    = Wrap angle over head pulley

    T1st= e0. T2st

    But Test= T1st- T2st = T2st.e

    o- T2st

    = T2st(e0- 1)

    T2st= Test/(e0- 1)

    T1st= Test+ T2stT3st= T2st+ 100 +x mass of snub pulley x 2.204 + Texternal scraper

    32.2

    = T2st+ 100 +x mass of snub pulley x 2.204 + 5 x 2 x Belt width (mm)

    32.2 25.4

    = __________ lbs

    T4st= T3st+ [0.015 x l4+ 0.015 x l4x Wb] + x l4(ft) [Wb+ Wt of rotating parts

    32.2 of unit return idler]

    T5st= T4st+ 100 ++ mass of the bend pulley x 2.204 - (H5x Wb) = _________ lbs

    32.2

    T6st= T5st+ 150 ++ mass of take up pulley x 2.204

    32.2

    T7st= T6st+ 100 ++ mass of bend pulley x 2.204 + (H5x Wb) = ________ lbs

    32.2

    Min. counterweight = (T5st+ T6st) = ___________ lbs

    Normal running full load belt tensions :-

    T6= Counter weight = ___________ lbs = T52

    T4= T5- 100 + (H5x Wb) = _________ lbs

    T3= T4- [0.015 x l4+ 0.015 x l4x Wb] = _________ lbs

    T2= T3- 100

    T1= Te+ T2+ 5 x x Belt width (mm) = _________ lbs

    25.4

    T7= T6+ 100 + (H5x Wb) = ___________ lbs

    T8= T7+ 5 x 2 x Belt Width (mm) + (0.015 x l8+ 2.015 x l8x Wb(lbs/ft)= _____ lbs

    25.4

    T9= T8+ 100 = _________ lbs

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    HGT :

    T6= Counter weight = ___________ lbs = T52

    T4= T5- 100 + (H5x Wb) = _________ lbs

    T3= T4- [0.015 x l4+ 0.015 x l4x Wb] = _________ lbs

    T2= T3- 100

    T1= Te+ T2+ 5 x x Belt width (mm) = _________ lbs

    25.4

    T7= T6+ 100 + (H5x Wb) = ___________ lbs

    T8= T7+ 5 x 2 x Belt Width (mm) + (0.015 x l8+ 2.015 x l8x Wb(lbs/ft)= _____ lbs

    25.4

    T9= T8+ 100 = _________ lbs

    T10= T9+ 5 x 2 x Belt Width (mm) + [0.015 x l10+ 0.015 x l10x Wb] - H7x Wb

    = ___________ lbs

    T11= T10+ 100 = _____________ lbs

    After calculating tensions at various points, with respect to profile, proceed with thefollwing :-

    Rated belt tensions = ________________ (KN/m) width

    = ________________ KN/belt width (m) (eg. 50 KN/m)

    ex. = 50 x 103

    9.81

    = _________ kgs x 2.204 = ___________ lbs (RBT)

    Considering starting tensions is limited to 160 % of the rated belt tension :-

    Then, allowable extra belt tension :-

    Fa1= 1.6 x (RBT) - T1 = _______________ lbs

    Time for acceleration = M1[Belt speed (fpm)]

    60 Fa1 t = ________________ secs

    Max. permissible belt tension = 1.6 x RBT = ____________ lbs

    Not to exceed, the max. permisible belt tensions, the time used for acceleration

    should not be less than t.

    - Known value calculated previously.

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    Starting time of equipment = Belt speed (fpm)

    60 x

    t1 = ____________ secs

    t1> t Conveyor is safe to start fully loaded with the equipment selected.Coasting time calculations :-

    Mass of Conveyor system M = _______________ lbs.sec2/ft

    Kinetic energy of system = MW2

    2

    Retarding force = Effective tension = Te = _________ lbs

    Total work performed during deceleration / retardation = Te x v(fpm) x t

    2

    = MV2

    2

    Coasting time, t = MV

    Te

    = ______________ secs

    Radius calculations (during starting conditions)-With material load upto point C :

    Profile No. (v)

    Resistance of the material, as it rides the belt over the idlers :-

    Tym = l1x ky1x Wm= __________ lbsEffective tension, here at point C,

    Te = Tx + Tyb + Tym + Tp + Tam + Tac

    = ____________ lbs

    Material weight upto point C = l1x Wm= ____________ lbs (A)

    As calculated previously, Belt weight = ___________ lbs

    Carrying roller wt = ___________ lbs Let addition ofReturn roller wt = ___________ lbs these be X.

    X = ___________ lbs

    Total mass of rotating parts = 1 ( X + A )

    (m1) 32.2

    Total equivalent mass of conveyor system = m1+ m2

    (M) = _____________ lbs.sec2/ ft

    Acceleration,= G - Te

    M

    = ___________ ft/sec2

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    T10st= T9st+ (Kyreturn side+ Kyreturn sidex Wb)l1- H7x Wb+ Tbc+l1(Wb+ Wm)

    2 9

    = T9st+ (0.015 + 0.015 x Wb) x l1 only upto point C - H7x Wb+ 5 x

    i.e. the first 2

    (ft) horizontal portion

    x Belt width (mm) xl1 (Wb+ Wm)

    25.4 32.2

    = ____________ lbs

    T11st= T10st+ 150 +x 2.204 x mass of tail pulley = ______________ lbs

    32.2

    Test = T11stxl1x [Wb+ Wm+ wt. of rotating parts of unit carrying idler (lbs)]

    + l1[Kx+ Ky1(Wb+ Wm)] + Tam+ Tsb= ____________bs

    Radius, Rst= 1.11 x Test

    Wb= ft= _________m

    3.28

    Drive Pulley Shaft :-

    Tensions at drive pulley :- T1= __________ N

    (Converting it to Kgs, by dividing N by 9.81)

    T2= __________ Kgs

    Resultant force acting on the head pulley :-

    R1= [T1cos+T2cos(-180-)]2+[T1sin-T2sin(-180-)+Drive pulley weight(kg)]

    2

    = __________________ Kgs

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    where,is always equal to conveyor inclination angle

    = Wrap angle over head pulley

    Bending moment, M = R x arm length (a) cm = ___________ Kg.cm

    2

    T = Torque at pulley shaft = T1- T2x pulley dia (cm) = __________ Kg. cm

    2

    Equivalent twisting moment, Tw= (Ktx T)2+ (Kbx M)

    2= ___________ Kg. cm

    Kt= Service factor for torsion = 1.0 & Always

    Kb= Service factor for bending = 1.5

    Equivalent bending moment, Me= b(M + Tu) = _____________ Kg. cm

    Considering shaft material, as C45/EN8 or equivalent :-

    Allowable bending stress = fb= 800 Kg/cm2

    Allowable shear stress = fs= 650 Kg/cm2

    Diameter due to bending moment = dm = 3 32 x Me/TT x bending stress

    = _______________ cm

    See, which value is greater & then decide the following :-

    To consider key effect, increase shaft dia as follows :-

    Greater value among the two shaft dia (let it be O) + O = __________ cm x 10

    2

    = ______________ mm

    Adopted shaft dia at brg = (Next available brg in our database) = ________ mcm

    at hub = This value + 10 = ________ mcm

    Now, checking for deflection due to bending & torsion as well, as per following

    procedure :-

    Checking for bending deflection :-

    Deflection at centre,c = M [ 3lbr2- 4a2]

    24EI

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    I =x (dia at hub)4= ___________ cm4

    64

    E = 2.1 x 106Kg/cm2

    lbr = Brg centres __________ cm, a = arm length = __________ cm

    Permissible deflection = lbr = ___________1200

    c < permissible deflection (Display message safe/unsafe)

    Checking for torsional deflection :-

    Angular twist,= 584 x lbr x T G = 0.84 x 106Kg/cm2

    G x (dia at hub)4

    Permissible twist = 0.08 x 3.28 x lbr (m)(Take care, while putting into program,

    lbr is in metres).

    < permissible twist, - Dispaly message

    Checking for bearing life :-

    Brg type :- Display No. (brg + adapter sleeve)

    [After displaying type of brg (always double row spherical roller brg)]

    Basic dynamic capacity = C = ___________ Kgs

    Bearing load = P = 1.2 x Radial load

    = 1.2 x R = _________ Kgs

    2

    Bearing life in millions of revolutions = Lf= (C)10/3

    P

    = _____________ mill. revolutions

    Bearing life in hours = Lfx 106 (Take value calculated during selection

    60 x Pulley rpm of gear box ratio)

    For Profile Nos. (I), (iv) & (v) - head pulley shaft - calculations

    T1 T1= __________ Kgs

    T2 T2= __________

    W

    R = [T1+T2cos(-180)]2+ [-T2sin(-180)+Drive pulley wt (Kgs)]

    2= _________ Kgs

    Next, each & every step remains the same as explained above for the remaining

    profiles.

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    Snub pulley shaft dia calculations :-

    For profile Nos (ii), (iii) & (vi)

    R = [T3cos-T2cos(-180-)]2+[T3sin+T2sin(-180-)+snub pulley wt(kgs)]

    2

    = ______________ Kgs

    M = R x arm length (cm) = ______________ Kg.cm 2

    Kb= 1.5

    fb= 800 Kg/cm2

    dm =332 x M x 1.5/x fb = ______________ cm x 10 = ______________ mm

    Adopt -----> next available brg, dia, = _____________ mm (at brg)

    + 10 mm = ______________ shaft dia at hub

    Check for bending due to deflection only & calculate bearing life, as explained &

    calculated on the previous pages.

    For profile nos. (I), (iv) & (v)

    R2= (T3- T2cos(-180)]2+[T2sin(-180) + snub pulley wt (kg)]

    2

    M = R x arm length (cm) = _______________ Kg. cm

    2

    Kb= 1.5

    fb= 800 Kg/cm2`

    dm = 332 x M x 1.5/x fb = _________ cm x 10 = ____________ mm

    Adopt -------> next available brg dia = ____________ mm (at brg)

    + 10 mm = _____________ shaft dia at hub.

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    Check for bending due to deflection only and calculate bearing life, as explained and

    calculated earlier.

    For profile nos (I), (iv) & (v)

    (-180) R = (T3-T2cos(-180)]2+[T2sin(-180)+snub pulley wt(kg)]

    2

    T2 W

    VGT - There are two bend pulleys. In case of horizontal conveyors with Vgt, wrap

    angle over both pulleys is same. But in case of inclined conveyors, wrap angle over

    bend pulley nearer to snub pulley is less than, that over bend pulley nearer to tail

    side. Hence in such cases, shaft dia is calculated, taking into consideration thegreater wrap angle and same is applicable to other bend pulley. Also in case of profile

    nos (iii) and (iv) is assumed that, Vgt will always be placed in the inclined portion only,

    near the head pulley.

    For profiles (ii), (iii) & (iv)

    T7 T6= __________, T7= __________ Kgs

    R3= [(T7cos)]2+ [T7sin+ T6+ Bend pulley wt (kg)]

    2

    W T6 = ________________ Kgs

    Remaining calculations same as those for snub pulley as done above.

    For profiles (I), (iv) & (v)

    R = (T7)3+ [T6+ Bend Pulley wt (kg)]

    2 = _____________ Kgs

    T6Bend pulley shaft diameter if type of take up is HGT

    For profiles (ii), (iii) & (vii)

    Please note :- This angle isfor profile nos (ii) & (iii) but it is

    2(i.e. inclination 2) for profile (vi) because, it

    T9 contains two inclined portions.

    W T8

    R = (T9cos)2+ [T9sin+ W(bend pulley wt kgs) + T8]

    2----> For profiles (ii) & (iii)

    For profile (iv) replaceby2(inclination of 2ndportion)

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    Profiles (I), (iv) & (v)

    T9 R = (T9)

    2+ (T8+ Bend pulley wt)2

    W T8Rest is same.

    Take up pulley shaft dia calculations :-

    For VGT - and all profiles

    T6 T5 R = (-T5- T6)2+ [Take up pulley weight (kgs)]2= _________ Kgs

    W

    For HGT and all profiles

    T7R = (-T6- T7)2+ (Take up pulley wt (kgs))2= __________ Kgs

    T6

    W

    Rest of the procedure for calculation of shaft dia is same as explained and calculated

    above.

    Tail pulley shaft diameter calculations :-

    For profiles (ii), (iv) & (vi)

    T5Profile (ii) & (iv) screw

    T4R = (- T4cos- T5cos)2+ (weight of tail pulley (kgs) -

    T4sin- T5sin)2

    = ______________ kgs

    W

    In place of T4and T5, use following tensions in case of

    VGT T4= T8& T5T9

    HGT T4= T10& T5 T11

    For profiles (i), (iii) & (iv)

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    T5R = (-T4-T5)2+ [Tail pulley wt (kgs)]2 = ____________ kgs

    T4

    W

    Use the following tensions in case of,

    VGT T4 T8, T5 T9HGT T4 T10, T5 T11