modernizare cai ferate

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    2013

    Marian Moronescu GR.2 I.I.T.

    3/29/2013

    Tema Modernizare Cai Ferate

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    1

    Borderou

    Plansa 1 Detaliu de trasare curba

    definitiva

    Plansa 2 Elementele intregii curbe

    Plansa 3 Kilometri AR, RC, CR, RA

    Plansa 4 Diagrama suprainaltarii

    Diagrama curburii

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    Date de tema :

    Pe un traseu de cale ferata vor circula trenuri de calatori cu viteza de 170km/h ,

    viteza trenurilor de marfa va fi 120 km/h. Sa se stabileasca :

    Care este raza minima ce poate fi folosita la proiectare stiind ca I= 70mm si E=

    50mm.

    Pentru o curba care are unghiul de abatere dintre aliniament u= si raza mai

    mare cu 500m fata de raza minima .Sa se stabileasca:

    a. Care este suprainaltarea ?

    b. Care este lungimea curbei rampei suprainaltari () ,daca pentru aceasta

    curba se foloseste curba progresina sinusoidala .

    Diagrama suprainaltari ;

    Diagrama curburii;

    Coordonatele pentru trasarea curbei progressive si desenul;

    Kilometri AR, RC,CR ,RA;

    Schita cu elementele intregii curbe.

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    1. Calculul razei minime a curbei de pe traseul definitiv

    km/h

    km/h

    mm

    mm

    (mm)

    (mm)

    mm

    mm

    (mm)

    km/h Viteza de echilibru

    (mm) Suprainaltarea maxima

    mm

    m Raza minimia a curbei

    m

    Exces de suprainaltare

    Insuficienta de suprainaltare

    Suprainaltarea teoretica

    Vmax 170

    Vmed 120

    I 70

    E 50

    h 11.8Vmed2

    R E

    h 11.8Vmax

    2

    R I

    RM

    11.8Vmax2

    11.8 Vmed2

    E I1425.833

    hM 11.8

    Vmed2

    RM E 169.172

    hM 11.8V0

    2

    RM

    V0

    hM RM

    11.8142.974

    hmax 11.8V0

    2

    Rmin

    hmax 150

    Rmin 11.8V0

    2

    hmax

    1608.078

    Rmin 1700

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    2. Calculul suprainaltarii curbei data prin tema

    m

    mm

    hmax x( ) 11.8 Vmed2

    x

    hn x( ) 11.8 Vmax2

    x

    I

    he x( ) 11.8 V02

    0 2 104

    4 104

    6 104

    8 104

    80

    55

    190

    Curbura

    Suprainaltarea

    150

    hmax rz( )

    hn rz( )

    he rz( )

    1

    1608.078

    rz

    R Rmi n 500 2200

    h 11.8V0

    2

    R 110

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    3.Calculul lungimii minime a curbei progresive

    km/h

    m

    m

    m

    m

    m

    m

    4.Diagrama de variatie a curburii

    V Vm ax

    170

    LR1 0.01 h V 186.391

    LR2V

    285

    LR3 0.0055 h V 102.515

    L 19

    LR4 0.005 I V 59.5

    LR max LR1 LR2 LR3 LR4 186.391

    li

    i

    20i 1 20

    Cll

    R L

    1

    2 Rsin

    2 l

    L

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    Cl

    0

    3.72008 107

    2.93231 106

    9.65498 10

    6

    0.00002

    0.00004

    0.00007

    0.0001

    0.00014

    0.00018

    0.00023

    0.00027

    0.00032

    0.00035

    0.00039

    0.00041

    0.00043

    0.00044

    0.000450.00045

    0.00045

    l

    0

    9.5

    19

    28.5

    3847.5

    57

    66.5

    76

    85.5

    95

    104.5

    114

    123.5

    133

    142.5

    152

    161.5

    171

    180.5

    190

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    Figura 1

    5.Diagrama de variatie a suprainaltarii

    mm

    i 1 20 li

    i

    20

    Cll

    R L

    1

    2 Rsin

    2 l

    L

    h 11

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    l

    0

    9.5

    19

    28.5

    38

    47.5

    57

    66.576

    85.5

    95

    104.5

    114

    123.5

    133

    142.5

    152

    161.5

    171

    180.5

    190

    htr Clh

    Cl20

    0

    0.09

    0.71

    2.337

    5.35

    9.993

    16.35

    24.33733.71

    44.09

    55

    65.91

    76.29

    85.663

    93.65

    100.007

    104.65

    107.663

    109.29

    109.91

    110

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    Figura 2

    6.Calculul elementelor curbelor progresive

    Curba 1

    m

    1 rad = 63,66194 grd

    transformare grad in rad

    R 220

    U 40 gra

    UradU

    63.66194

    Urad 0.62832

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    10

    i 1 2

    lii

    20

    Udeg

    U 180

    200

    Udeg 36

    L 190

    l1

    R

    l2

    2L

    L

    43

    L

    42

    co s2 l

    L

    0L

    2R

    0.04318

    x l( ) l 13L

    3

    644

    R2

    l3

    242

    R2

    l5

    40R2

    L2

    0L

    163

    R3

    l L

    cos

    2 l

    L

    l2 L

    2

    2

    sin

    2 l

    L

    L

    2

    16 2

    sin4 l

    L

    y 1 x3

    6R L

    L

    4R 2

    xL

    2sin

    2 x

    L

    1

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    m

    m

    l

    0

    0

    1

    2

    3

    4

    5

    6

    7

    8

    9

    10

    11

    12

    13

    14

    15

    16

    17

    18

    19

    20

    0

    9.5

    19

    28.5

    38

    47.5

    57

    66.5

    76

    85.5

    95

    104.5

    114

    123.5

    133

    142.5

    152

    161.5

    171

    180.5

    190

    x l( )

    0

    0

    1

    2

    3

    4

    5

    6

    7

    8

    9

    10

    11

    12

    13

    14

    15

    16

    17

    18

    19

    20

    -63.89210

    9.494

    18.987

    28.481

    37.974

    47.468

    56.961

    66.455

    75.948

    85.442

    94.935

    104.428

    113.921

    123.413

    132.905

    142.397

    151.888

    161.378

    170.867

    180.355

    189.841

    y l( )

    0

    0

    1

    2

    3

    4

    5

    6

    7

    8

    9

    10

    11

    12

    13

    14

    15

    16

    17

    18

    19

    20

    0

    -61.68310

    -55.34810

    -44.01410

    0.002

    0.005

    0.012

    0.025

    0.048

    0.083

    0.134

    0.206

    0.302

    0.427

    0.584

    0.776

    1.005

    1.273

    1.581

    1.929

    2.319

    U 40Urad 0.628

    yRC 0.14134L

    2

    R2.319

    m yRCL

    2

    8R 0.268

    p x l20 R sin 0 p 94.871

    ARV R m( ) tanUrad

    2

    p ARV 809.781