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Гл. ас.  д-р инж. Вътю Танев 1 / 22 УНИВЕРСИТЕТ УНИВЕРСИТЕТ ПО  АРХИТЕКТУРА  , СТРОИТЕЛСТВО И ГЕОДЕЗИЯ ПО  АРХИТЕКТУРА  , СТРОИТЕЛСТВО И ГЕОДЕЗИЯ катедра МЕТАЛНИ  , ДЪРВЕНИ И ПЛАСТМАСОВИ КОНСТРУКЦИИ катедра МЕТАЛНИ  , ДЪРВЕНИ И ПЛАСТМАСОВИ КОНСТРУКЦИИ Тема 3 Изчисляване и оразмеряване на покривни столици

Study Bg 498 Tema 3 Stolica

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  • . . - . 1 / 22

    , , , ,

    3

  • . . - . 2 / 22

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  • . . - . 3 / 22

    , , , ,

    b

    b b b

    b b b

    3,60b m

    3,60 4,50m b m>

    4,50b m>

    , : , , , .

  • . . - . 4 / 22

    , , , ,

    1.1.3.3

  • . . - . 5 / 22

    , , , ,

    1. EC1995-1-11.1

    1,35 2

    1,35

    1,35

    :

    3

    1

    -

    1.kg a

    1. .t a

    G

    2,dg =2,kg =34,9 / 0,175 0,125I Ic ckN m h m b m = = =

    . .1c ch b

  • . . - . 6 / 22

    , , , ,

    2 01, 1

    1, , 1, 1

    1, , 1, ,

    . . [ / ] 0,8 30. .cos [ / ] 1 1

    . 1,5

    = = = = == =

    k k e t

    k k e t

    d k Q Q

    s s C C kN m as S a kN m C Cs s

    1.2

    [kNm]

    ( ) 22, 2, .8

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    +=( ) 22, 2, .

    16d d

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    +=( ) 22, 2, .

    12d d

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    +=

  • . . - . 7 / 22

    , , , ,

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  • . . - . 8 / 22

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    1.3.

    1.3.1

    , , , ,

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    .cos .sin

    1 1 0,7

    d dm y d m z d

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    M MW W

    k k kf f f f

    = =

    + + =

    , , , ,, , , ,

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    1 1 0,7m y d m y dm z d m z dm m mm y d m z d m y d m z d

    k k kf f f f + + =

    ( )22 0,5. .. 2.6 6

    C cc cy z

    b hb hW W= =

    2 2. .6 6c c c c

    y zb h b hW W= =

  • . . - . 9 / 22

    , , , ,

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    0,2

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    0,2

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    . . . .

    150150 min

    1,3:

    150150 min

    1,3:

    150 m2

    m k m km y d h y m z d h z

    M M

    c n y c

    c

    c n z c

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    f ff k k f k k

    h mm k hh mm

    b mm k bb mm

    b mm k

    = = =

    =

    =0,2

    150in / 2

    1,3c

    c

    bb mm

    kmod .

  • . . - . 10 / 22

    , , , ,

    1.3.2

    ( ) ( )( ) ( )

    4 42, 1 2, 2, 1 2,

    , ,

    4 42, 2 2, 2, 2 2,

    , ,

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    .cos .sin. .. .384. 384.

    .cos .sin. . . .. .

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    k k k kz inst y inst

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    g s g sn b n bf fE I E I

    g s g sn b k n b kf f

    E I E If f f f f

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    + += == + = , 1 2

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    0,5 0,2 0,8

    5 ;2 .200

    . .12 12

    t y creep def

    y z

    c c c cy z

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    b h b hI I

    + = = == + =

    = =

    :( )30,5. .1 2.

    12c c

    zb h

    n I= =

  • . . - . 11 / 22

    , , , ,

    1.3.3

  • . . - . 12 / 22

    , , , ,

    b b b

    b b b

    M

    Q

    Qc,d

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    Qc,d

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    Qc,d

  • . . - . 13 / 22

    , , , ,

    ( ), 1, , , , , , ,1,

    min , , , , , =c dg d a d b d c d d d e d f dd

    Qn T R R R R R R

    T

    2 1 1,5.= t t d

  • . . - . 14 / 22

    , , , ,

    2. 5

  • . . - . 15 / 22

    , , , ,

    15% 50% 100% 25% 0% :Fmax/4 - /4

    - Johansen

    - , , Johansen. - Rc,k; Rd,k; Re,k; Rf,k

  • . . - . 16 / 22

    , , , ,

    , ,1, 1 1,3= =a k h k MR f t d

    , ,2, 2 1,3= =b k h k MR f t d

    2 2,1, 1 ax,2 32 2 2 2

    ,1 1 1 1

    2 1 1 1,31 4

    = + + + + + + = +

    h k Rkc k M

    f t d Ft t t tRt t t t

    : , , , , , ,, , , ,a k b k c k d k e k f kR R R R R R

    ( ) ( ) ,,1, 2 ax,2, 2,1, 2

    4 1 21,05 2 1 1, 2

    1 2 4

    + = + + + =+ y Rkh k Rk

    e k Mh k

    Mf t d FR

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    ax,, , ,1,

    21,15 2 1,21 4 = + =+

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    4 21,05 2 1 1, 2

    2 4

    + = + + + =+ y Rkh k Rk

    d k Mh k

    Mf t d FR

    f d t

  • . . - . 17 / 22

    , , , ,

    , , 600 N/mm, :

    2,6

    , 2,6

    ,2,

    ,1,

    ,

    0,3 ;

    0, 45

    / ;

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    = =

    uy Rk

    u

    h k

    h k

    ax Rx

    f dM

    f dff

    F .:

    My,Rk e [Nmm];

    d e [mm]; fu e [N/mm].

  • . . - . 18 / 22

    , , , ,

    8 mm - LVL:

    -

    0,3 2, 0,082 /h k kf d N mm = -

    2, 0,082(1 0,01 ) /h k kf d N mm=

    :

    k e kg/m;

    d e mm.

  • . . - . 19 / 22

    , , , ,

    ,, mod

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    =

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  • . . - . 20 / 22

    , , , ,

    : (1) (2) (3) (4) 1 - , 2 -

  • . . - . 21 / 22

    , , , ,

    ,

    [] ,

    k 420 kg/m3 420 kg/m3 < k 500 kg/m3

    d < 5 mm:

    (5 + 5cos )d

    d 5 mm:

    a1 ( )

    0 360

    (5 + 7cos )d

    (7 + 8cos )d (4 + cos )d

    a2 ( )

    0 360 5d 7d (3 + sin )d

    a3,t ( )

    -90 90 (10 + 5cos )d (15 + 5cos ) d (7 + 5cos ) d

    a3,c ( )

    90 270 10d 15d 7d

  • . . - . 22 / 22

    , , , ,

    , ()

    [] ,

    k 420 kg/m3 420 kg/m3 < k 500 kg/m3

    d < 5 mm: d < 5 mm: d< 5 mm:

    (5 + 2sin )d (7 + 2sin )d (3 + 2sin )d

    d 5 mm: d 5 mm: d 5 mm:

    a4,t ( )

    0 180

    (5 + 5sin )d (7 + 5sin )d (3 + 4sin )d

    a4,c ( )

    180 360 5d 7d 3d