Spec.fundiranje - II Deo Zadatka (Winkler)

Embed Size (px)

Citation preview

  • 8/18/2019 Spec.fundiranje - II Deo Zadatka (Winkler)

    1/4

    2. RESAVANJE ZADATKA PO WINKLER-ovoj HIPOTEZI

    a) Proracun sleganja tacke A

    koriscenjem uticajnih funkcija

    ( )2,

    1 o A i k i i

    io

    S q F b E 

    ν 

    π  

    −= × × ×

    ×   ∑

    F=64,0 m2

    Povrsina prepusta = ,46!6 cm2

    "=,46!6#21,6=0,$4

    %amenjujuci rostilj

    &sa istom povrsinom ali 'e( prepusta)

    14

  • 8/18/2019 Spec.fundiranje - II Deo Zadatka (Winkler)

    2/4

    1 1

    1 1

    1 1

    1

    2 2

    2

    2

     povrsina 1

    *,+ 1$,$4 4,+*4,+* 6,6 0,$$

    2 2 6,6

    4,+* 0,141 0

    4,+* 6,6

    0,6 4,1$60* 0$$ 4,$+64$ 4,21+022

     povrsina 2

    2,4* 4,++ 1,24!1,24! 2,44 0,!

    2 2 2,44

    1,2

    aa m b m

    b

     x ym n

    a b

     F 

    aa m b m

    b

     xm

    a

    α 

    α 

    = = = = = = =

    = = = = = ≈

    = × + × =

    = = = = = = =

    = =

    ( )

    2

    2

    2

    $ $

    $ $

    $ $

    1$   4

    4! $,11 1,$

    1,24! 2,44

    0, 2,40606 0$ 1,0$+0! 1,**!6!

     povrsina $

    4,+! 4,++ 2,4$2,4$ 2,44 1

    2 2 2,44

    !,*+ $,12,! 1,2 1,!

    2,4$ 2,44

    1,+!+* 1,2+662 1,44*$* 1,124*4 1,4

     yn

    b

     F 

    aa m b m

    b

     x ym n

    a b

     F 

    α 

    = = = ≈

    = × + × =

    = = = = = = =

    = = = = = = ≈

    = × + + + =

    4 4

    4 4

    4 4

    4

    ! !

    2**62!

     povrsina 4

    2,4* 4,16 1,24!1,24! 2,0+ 0,62 2 2,0+

    1,24! 2,41 1,$2

    1,24! 2,0+

    0,6+ 2,6+2 0$2 1,2206$ 2,2116

     povrsina !

    4,+! 4,16 2,4$2,4$ 2,0+ 1,2

    2 2 2,0+

    aa m b mb

     x ym n

    a b

     F 

    aa m b m

    b

     xm

    α 

    α 

    = = = = = = =

    = = = = = =

    = × + × =

    = = = = = = =

    =

    ( )

    ! !

    ! !

    1!   4

    !

    , 1 2 ,

    2

    !,*+ 2,42,! 1,$2 1,!2,4$ 2,0+

    1,*$1*1 1,$12+ 1,!44 1,1+462 1,!016*2!

    2 2 12,0!62 24,1124

    k i i k k i i

    i

     yna b

     F 

     F b F b F b

    = = = = = ≈

    = × + + + =

     × = × × − × = × = ÷

     ∑ ∑

    1!

  • 8/18/2019 Spec.fundiranje - II Deo Zadatka (Winkler)

    3/4

    ( ) ( ) ( ) ( )

    ( )

    ( ) ( )

    2

    2

    2 2

    ,

    1 2 1 1 2 0,$ 1 0,$*!00 0!,1

    1 1 0,$

    1+!00 111* 12+016$,$

    12+

    1 1 0,$16$,$ 24,1124 0,162 16, 2

    0!,1

    16,2

    -kupna krutost opruga

    o S 

    rostilja

    o

     A k i i

    io

     A

     A

     E M kN m

     R Gq kN m

     F 

    S q F b m cm E 

    S cm

     R K 

    ν ν 

    ν 

    ν 

    π π  

    − × × + − × × += × = × =

    − −+   + +

    = = =

    − −= × × × = × × = =

    × ×

    =

    =

    ∑ 1+!00 1144+!,00,162

    .rutosti poje"inacnih opruga

    1144+!,0. +*4,42

    12+i i i

    kN m

     K  F F 

     F 

    = =

    = × = = ×∑∑

    16

  • 8/18/2019 Spec.fundiranje - II Deo Zadatka (Winkler)

    4/4

    /ijagrami momenta &pravac)

    /ijagrami momenta &pravac)

     

    1*