mathcad - (b2)calcule(2)

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Verificarea pozitiei statiei intermediare Calculul capacitatii de transport: n 1440 i t AB t BA i a 1 a 2 = a 1 a 2 6min = t AB t BA i t 1 t 2 l i t f t d = t 1 t 2 -timpul de mers dus-intors l i -lungimea sectorului de profil longitudinal t f -timp de franare t f -timp de demarare t AB t BA i -suma timpilor de mers (la dus si la intors pentru un tren de marfa pe distanta AB) i t AB t BA i 1800 2 2.15 5 416.67 2.82 1075 2.15 23 416.67 2.82 1700 2 2.15 1000 = i t AB t BA i 38.972 = n AB 1440 38.972 2 6 30.657 n AB 30 1 i t BC t CB i 1700 2 725 2.15 8 416.67 2.82 1700 2 2.15 1000 = i t BC t CB i 14.614 = n BC 1440 14.614 2 6 63.677 n BC 30 1 T 365 2 n n G m.med 10 6 k 365 2 n c G c 10 6 365 2 n 1 G 1 10 6 = k 1.05 -coeficient de neuniformitate n nAB floor n AB 2 1.5 2 1.2 25 n nBC floor n BC 2 1.5 2 1.2 58 1.5;1.2 ---coeficienti de reducere al trenurilor directe de marfa catre trenurile locale de marfa/trenurile de calatori

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Calcule CF

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  • Verificarea pozitiei statiei intermediare

    Calculul capacitatii de transport:

    n1440

    i

    tAB tBA i a1 a2= a1 a2 6min=tAB tBA i t1 t2 li tf td=t1 t2 -timpul de mers dus-intors li -lungimea sectorului de profil longitudinaltf -timp de franare

    tf -timp de demarare

    tAB tBA i -suma timpilor de mers (la dus si la intors pentru un tren de marfa pe distanta AB)

    i

    tAB tBA i18002

    2.15 5 416.67 2.82 1075 2.15 23 416.67 2.82 17002

    2.151000

    =

    i

    tAB tBA i 38.972=nAB

    144038.972 2 6 30.657 nAB 30 1

    i

    tBC tCB i17002

    725 2.15 8 416.67 2.82

    17002

    2.151000

    =

    i

    tBC tCB i 14.614=nBC

    144014.614 2 6 63.677 nBC 30 1

    T365 2 nn Gm.med

    106 k

    365 2 nc Gc

    106

    365 2 n1 G1

    106=

    k 1.05 -coeficient de neuniformitate nnAB floor nAB 2 1.5 2 1.2 25nnBC floor nBC 2 1.5 2 1.2 581.5;1.2 ---coeficienti de reducere al trenurilor directe de marfa catre trenurile locale demarfa/trenurile de calatori

  • Rezistenta caracteristica:

    rc imax800Rmin

    = rc 12800450

    13.778

    Gm.med 1355tonnefGc 500tonnef -tonaj mediu tren calatoriG1 900tonnef -tonaj mediu tren de marfa

    TAB floor365 2 nnAB 1355

    106 k365 2 2 500

    106 365 2 2 900

    106

    25 MTB

    TBC floor365 2 nnBC 1355

    106 k365 2 2 500

    106 365 2 2 900

    106

    56 MTB

    Determinarea razei minime

    hM 11.8 Vmax2 1RM

    I=

    hM 11.8 Vm2 1RM

    E= => 1RM

    11.8 Vmax2 Vm2 I E 0=

    RM 11.8Vmax

    2 Vm2

    E I=

    RM11.8 802 702

    70 50 147.5

    hM 11.8 702 1RM

    50 442

    hM 11.8 V02 1RM

    =

    V0RM hM11.8

    74.33

    hmax 150hmax 11.8 V0

    2 1R

    = => R11.8 V0

    2hmax

    434.633

    Vom considera Rmin 450m

  • Calculul elementelor curbelor

    Curba0

    U0 172.0384deg 0 180deg U0 7.962 degR0 1000m

    T0 R0 tan02

    69.59 m

    B0 R01

    cos02

    1

    2.418 m

    c0 R0 0 180deg

    138.956 m

    Curba1 Curba2

    U1 153.0296deg 1 180deg U1 26.97 deg U2 160.2396deg 2 180deg U2 19.76 degR1 1000m R2 500m

    T1 R1 tan12

    239.806 m T2 R2 tan

    22

    87.086m

    B1 R11

    cos12

    1

    28.351m B2 R2

    1

    cos22

    1

    7.527 m

    c1 R1 1 180deg

    470.722 m c2 R2 2 180deg

    172.442 mCurba3 Curba4

    U3 142.2879deg 3 180deg U3 37.712 deg U4 127.7007deg 4 180deg U4 52.299 degR3 450m R4 450m

    T3 R3 tan32

    153.684 m T4 R4 tan

    42

    220.936 m

    B3 R31

    cos32

    1

    25.519m B4 R4

    1

    cos42

    1

    51.311m

    c3 R3 3 180deg

    296.19m c4 R4 4 180deg

    410.758 m

  • Curba5 Curba6

    U5 97.5519deg 5 180deg U5 82.448 deg U6 94.2599deg 6 180deg U6 85.74 degR5 450m R6 450m

    T5 R5 tan52

    394.279 m T6 R6 tan

    62

    417.728 m

    B5 R51

    cos52

    1

    148.294 m B6 R6

    1

    cos62

    1

    164 m

    c5 R5 5 180deg

    647.546 m c6 R6 6 180deg

    673.401 m

    Curba7 Curba8

    U7 82.3225deg 7 180deg U7 97.677 deg U8 80.998deg 8 180deg U8 99.002 degR7 450m R8 450mT7 R7 tan

    72

    514.733 m T8 R8 tan

    82

    526.901 m

    B7 R71

    cos72

    1

    233.703 m B8 R8

    1

    cos82

    1

    242.91m

    c7 R7 7 180deg

    767.157 m c8 R8 8 180deg

    777.56m

  • Calculul elementelor curbelorCurba9Curba8

    U8 80.998deg 8 180deg U8 99.002 deg U9 112.9345deg 9 180deg U9 67.065 degR8 450m R9 500m

    T8 R8 tan82

    526.901 m T9 R9 tan

    92

    331.354 m

    B8 R81

    cos82

    1

    242.91m B9 R9

    1

    cos92

    1

    99.83 m

    c8 R8 8 180deg

    777.56m c9 R9 9 180deg

    585.257 m

    Curba10Curba11

    U10 123.6765deg 10 180deg U10 56.324 degU11 133.3871deg 11 180deg U11 46.613 degR10 500mR11 500mT10 R10 tan

    102

    267.668 mT11 R11 tan

    112

    215.401 m

    B10 R101

    cos102

    1

    67.139mB11 R11

    1

    cos112

    1

    44.424m

    c10 R10 10

    180deg491.515 mc11

    R11 11 180deg

    406.774 m

    Curba13 Curba12

    U13 149.7594deg 13 180deg U13 30.241 deg U12 128.4071deg 12 180deg U12 51.593 degR13 500m R12 500m

    T13 R13 tan132

    135.1 m T12 R12 tan

    122

    241.671 m

    B13 R131

    cos132

    1

    17.931m B12 R12

    1

    cos122

    1

    55.342m

    c13 R13 13

    180deg263.899 m c12

    R12 12 180deg

    450.233 m

  • Calculul racordarilor curbelor in plan vertical

    Rv1 4000m Rv2 5000mi

    41000

    tv1

    i2

    Rv1 8m tv2i2

    Rv2 10m

    bv2tv2

    2

    2 Rv21 cmbv1

    tv12

    2 Rv10.8 cm

    i111000

    tv1i2

    Rv1 22m tv2i2

    Rv2 27.5m

    bv1tv1

    2

    2 Rv16.05 cm bv2

    tv22

    2 Rv27.563 cm

  • Calculul podetelor

    Pentru fiecare podet se calculeaza panta terenului, suprafata bazinului de pe care se strang apele si lungimea vaii:it100

    5d

    = => it 5100d

    =

    km Podet Panta it Suprafata Lungimea vaii

    1 875 6.3% S 3205 252 m2 200.313 hectare lv 125 25 m 3125mLumina podetului

    l2 0.6m 0m lv 250mif0.7m 250m lv 500mif1m 500m lv 1000mif1m

    lv 1000m1000

    1000m lv 6000mif

    3.125 ml1 0.6 S 4hectareif0.3 0.16 S 4hectare S 400hectareif0.17 S 400hectare S 1600hectareif

    m 2.565 m

    l max l1 l2 3.125 mkm Podet Panta it Suprafata Lungimea vaii

    3 120 7.85% S 520 252 m2 32.5 hectare lv 15.17 25 m 379.25mLumina podetului

    l2 0.6m 0m lv 250mif0.7m 250m lv 500mif1m 500m lv 1000mif1m

    lv 1000m1000

    1000m lv 6000mif

    0.7ml1 0.6 S 4hectareif0.3 0.16 S 4hectare S 400hectareif0.17 S 400hectare S 1600hectareif

    m 1.212 m

    l Ceil max l1 l2 10cm 1.3mkm Podet Panta it Suprafata Lungimea vaii

    13 130 8.12% S 350 252 m2 21.875 hectare lv 12.6 25 m 315mLumina podetului

    l2 0.6m 0m lv 250mif0.7m 250m lv 500mif1m 500m lv 1000mif1m

    lv 1000m1000

    1000m lv 6000mif

    0.7ml1 0.6 S 4hectareif0.3 0.16 S 4hectare S 400hectareif0.17 S 400hectare S 1600hectareif

    m 1.048 m

    l Ceil max l1 l2 10cm 1.1mkm Podet Panta it Suprafata Lungimea vaii

    13 850 8.12% S 253.2 252 m2 15.825 hectare lv 14.36 25 m 359mLumina podetului

    l2 0.6m 0m lv 250mif0.7m 250m lv 500mif1m 500m lv 1000mif1m

    lv 1000m1000

    1000m lv 6000mif

    0.7ml1 0.6 S 4hectareif0.3 0.16 S 4hectare S 400hectareif0.17 S 400hectare S 1600hectareif

    m 0.936 m

    l Ceil max l1 l2 10cm 1 m

  • Calculul podetelor

    Pentru fiecare podet se calculeaza panta terenului, suprafata bazinului de pe care se strang apele si lungimea vaii:it100

    5d

    = => it 5100d

    =

    km Podet Panta it Suprafata Lungimea vaii

    13 130 8.12% S 350 252 m2 21.875 hectare lv 12.6 25 m 315mLumina podetului

    l2 0.6m 0m lv 250mif0.7m 250m lv 500mif1m 500m lv 1000mif1m

    lv 1000m1000

    1000m lv 6000mif

    0.7ml1 0.6 S 4hectareif0.3 0.16 S 4hectare S 400hectareif0.17 S 400hectare S 1600hectareif

    m 1.048 m

    l Ceil max l1 l2 10cm 1.1mkm Podet Panta it Suprafata Lungimea vaii

    13 850 8.12% S 253.2 252 m2 15.825 hectare lv 14.36 25 m 359mLumina podetului

    l2 0.6m 0m lv 250mif0.7m 250m lv 500mif1m 500m lv 1000mif1m

    lv 1000m1000

    1000m lv 6000mif

    0.7ml1 0.6 S 4hectareif0.3 0.16 S 4hectare S 400hectareif0.17 S 400hectare S 1600hectareif

    m 0.936 m

    l Ceil max l1 l2 10cm 1 m

    km Podet Panta it Suprafata Lungimea vaii

    14 440 6.65% S 852 252 m2 53.25 hectare lv 18.9 25 m 472.5 mLumina podetului

    l2 0.6m 0m lv 250mif0.7m 250m lv 500mif1m 500m lv 1000mif1m

    lv 1000m1000

    1000m lv 6000mif

    0.7ml1 0.6 S 4hectareif0.3 0.16 S 4hectare S 400hectareif0.17 S 400hectare S 1600hectareif

    m 1.468 m

    l Ceil max l1 l2 10cm 1.5mkm Podet Panta it Suprafata Lungimea vaii

    15 145 7.5% S 9216 252 m2 576 hectare lv 85 25 m 2125mLumina podetului

    l2 0.6m 0m lv 250mif0.7m 250m lv 500mif1m 500m lv 1000mif1m

    lv 1000m1000

    1000m lv 6000mif

    2.125 ml1 0.6 S 4hectareif0.3 0.16 S 4hectare S 400hectareif0.17 S 400hectare S 1600hectareif

    m 4.08m

    l Ceil max l1 l2 10cm 4.1m

  • km Podet Panta it Suprafata Lungimea vaii

    15 145 7.5% S 9216 252 m2 576 hectare lv 85 25 m 2125mLumina podetului

    l2 0.6m 0m lv 250mif0.7m 250m lv 500mif1m 500m lv 1000mif1m

    lv 1000m1000

    1000m lv 6000mif

    2.125 ml1 0.6 S 4hectareif0.3 0.16 S 4hectare S 400hectareif0.17 S 400hectare S 1600hectareif

    m 4.08m

    l Ceil max l1 l2 10cm 4.1mkm Podet Panta it Suprafata Lungimea vaii

    15 145 7.5% S 9216 252 m2 576 hectare lv 85 25 m 2125mLumina podetului

    l2 0.6m 0m lv 250mif0.7m 250m lv 500mif1m 500m lv 1000mif1m

    lv 1000m1000

    1000m lv 6000mif

    2.125 ml1 0.6 S 4hectareif0.3 0.16 S 4hectare S 400hectareif0.17 S 400hectare S 1600hectareif

    m 4.08m

    l Ceil max l1 l2 10cm 4.1m

  • Verificarea traseului in lung

    km.sfarsit-km.inceput=Ai+ci 14500m 0m 14500 m1977.18m c0 1421.30m c1 931.12m c2 230.52m c3 735.06m c4 185.92mc5 1317.49m c6 1547.70m c7 256.65m c8 1342.33m 200m

    14500.003 m

    cota.sfarsit-cota.incepu=li*ii 966m 824.9m 141.1 m2800 0.4 % 8000 1.5 % 900 1.1 % 141.1

    Recalcularea capactatilor

    i

    tAB tBA i15002

    2.15 2800( ) 2.34 8000 3 900 2.76 13002

    2.151000

    =

    i

    tAB tBA i 36.046=nAB

    144036.046 2 6 32.693 nAB 30 1

    nnAB floor nAB 2 1.5 2 1.2 27rc imax

    800Rmin

    = rc 15800450

    16.778

    TAB floor365 2 nnAB 1340

    106 k365 2 2 500

    106 365 2 2 900

    106

    27 MTB

    Principalii indicatori tehnico economici Indicatori ai traseului:

    lungimea de exploatareLe 14500m

    lungimea de constructieLc Le 2 5 800 m 22500m

    Indicatori ai liniei in planul de situatie lungimea sectoarelor situate in curba:

    Curbe c0 c1 c2 c3 c4 c5 c6 c7 c8 4354.733mCurbeLe

    30.033 %lungimea liniei in declivitate

    viteza maximaDeclivitate 2800m 8000m 900m 11700 m

    vmax 80kmh

    =DeclivitateLe

    80.69 %capacitatea de circulatie rezistenta caracterisitica

    nn nnAB 27 perechi trenurirc 16.778numarul de lucrari de arta capacitatea de transport

    6 poduri5 podete T TAB 27 MTB

  • Verificarea traseului in lung

    km.sfarsit-km.inceput=Ai+ci 20300m 12800m 7500m169.53m 1342.33m c9 163.78m c10 492.36m c11 861.83m c12 588.05m c13 1700m 15.51m 7500.048m

    cota.sfarsit-cota.incepu=li*ii 1004m 966m 38m500 0.4 % 2700 1.1 % 900 0.7 % 38

    Recalcularea capactatilor

    i

    tBC tBC i15002

    2.15 500( ) 2.34 2700 2.76 900 2.56 15002

    2.151000

    =

    i

    tBC tBc i 14.151=nBC

    144014.151 2 6 65.008 nAB 30 1

    nnBC floor nBC 2 1.5 2 1.2 59rc imax

    800Rmin

    = rc 11800450

    12.778

    TBC floor365 2 nnAB 1410

    106 k365 2 2 500

    106 365 2 2 900

    106

    28 MTB

    Principalii indicatori tehnico economici Indicatori ai traseului:

    lungimea de exploatareLe 7500m

    lungimea de constructieLc Le 2 5 800 m 15500m

    Indicatori ai liniei in planul de situatie lungimea sectoarelor situate in curba:

    Curbe c9 c10 c11 c12 c13 2197.678mCurbeLe

    29.302 %lungimea liniei in declivitate

    viteza maximaDeclivitate 500m 2800m 900m 4200m

    vmax 80kmh

    =DeclivitateLe

    56 %capacitatea de circulatie rezistenta caracterisitica

    nn nnBC 59 perechi trenurirc 12.778numarul de lucrari de arta capacitatea de transport

    6 poduri5 podete T TBC 28 MTB