Ασκήσεις_θεωριών αστοχίας

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Transcript of Ασκήσεις_θεωριών αστοχίας

  • 94.6

    4.6.1 4-8 F = 4540 N. Sy = 330 MPa, d = 37.5 mm, 150mm , a = 200 mm. Von Mises.

    4-8:

    : Mx = Fa, Mz =F, . x, z F. ,

    4 3 364 32 32 4540 150 131.5

    2 2 2 37.5x

    xM d F d F d F MPaI I d d

    ,

    4 3 332 16 16 4540 200 87.7

    2 37.5z

    xyp

    M r Fa d Fa MPaJ d d

    2 24 4 4540 4.1

    37.5F F MPaA d

    . ,

    2 22 2

    1131.5 0 131.5 0 87.7 175.35

    2 2 2 2x y x y

    xy MPa

    2 0 2 2

    2 23

    131.5 0 131.5 0 87.7 43.852 2 2 2

    x y x yxy MPa

    :

  • 10

    2 22 2

    max131.5 0 87.7 109.6

    2 2x y

    xy MPa

    Von Mises ,

    22 2 21 1 3 3 175.35 175.35 43.85 43.85 200.9 Pa Von Mises ,

    330 1.64200.9

    ySN

    ,

    max max

    330 1.512 2 109.6

    sy yS SN

  • 11

    4.6.2 F =10000 N . 3.1. Sut =

    172 Pa Suc = 690 Pa, ) , ) Coulomb-Mohr ) Mohr.

    2. Sy = 345 Pa, (Von Mises).

    3. 1) ;

    4-9:

    : ( ). :

    1

    max4 4 4 4 4

    10000 250 150 11.132 2150 113

    64 64

    ox

    o i

    dM F N mm mmy MPaI d d mm

    ,

    2

    4 4 4 4 4

    10000 300 150 6.682 2150 113

    32 32

    oxy

    o i

    dT F N mm mmr MPaJ d d mm

    :2

    21,3

    22

    2 2

    14.2611.13 0 11.13 0 6.683.132 2

    x y x yxy

  • 12

    4-10:

    1 1

    3 3

    3 14.26 42.783 3.13 9.39

    t

    t

    k MPak MPa

    . . 1OA 3OA . . , Coulomb-Mohr, Coulomb. ,

    1

    172 4.042.78

    utMOT

    SN

    : = 162 :

    1

    162 3.7842.78Co Mo

    OB OB OBNOA OA

    :

    311 42.78 9.39 0.2623 3.81172 690 Co MoCo Mo ut uc

    NN S S

    . ,

  • 13

    1

    172 4.042.78

    utT Co

    SN

    2. Von Mises (): 2 2 2 21 1 3 3 14.26 14.26 3.13 3.13 16.05eq MPa

    :345 21.5

    16.05y

    eq

    SN

    2 2

    2 2max

    11.13 6.68 8.692 2

    xxy MPa

    :

    max

    345/ 2 19.88.69

    syM

    SN

    .

    : :

    2 2 2 23 11.13 3 6.68 16.05eq x xy MPa 345 21.5

    16.05y

    eq

    SN

    ,2 2 2 24 11.13 4 6.68 17.38eq x xy MPa

    345 19.817.38

    yM

    eq

    SN