Click here to load reader

MD2 - Compendium

  • View
    19

  • Download
    2

Embed Size (px)

DESCRIPTION

Compendium formulas for "machine design II" subject

Text of MD2 - Compendium

  • Force method - Compendium of solutions for beam displacements Load case ii displ. at midspan (f) displ. at end () ij

    11 3

    lEJ

    216Mlf EJ 21 6 lEJ

    21,0 16

    FlEJ

    348Flf EJ

    31,0 24

    p lEJ

    45384

    p lf EJ

    1,0 24

    M lEJ

    11 2

    lEJ

    28Mlf EJ

    1,0

    l Th

    2,0 l Th

    33FlEJ

    22FlEJ

    22M lEJ U M lM EJ

    48

    p lEJ

    Ex: 1 11 1 12 2 10M M

    F

    p

    p

  • Bolt connections Bolt geometry data (according to the standard UNI 4535-64)

  • Allowable stresses for the assessment of bolts:

    Allowable stresses for the assessment of plates:

    Shear joint assessment Bolt Shear (if only tangential stress)

    If combined stress on bolt 2 2

    , ,1

    b adm b adm

    Hole plastic deformation Tearing

    Friction joint assessment , f 0,8 ,

  • Beam profiles

    Axis yy Axis xx Linear mass Profile identification

  • Axis-symmetric elastic problems (disks) General stress solution

    Solid disk with external pressure pe

    Hollow disk with external and internal pressure pe and pi

    222

    2222

    22222

    2222

    22

    1)(1)(

    rrrrrpp

    rrrprp

    rrrrrpp

    rrrprp

    ieeiie

    ieeeii

    ieeiie

    ieeeiir

    Rotating solid disk at constant speed = cost No pressure

    2222

    222

    831

    83

    )(83

    rrrr

    e

    er

    Rotating hollow disk at constant speed = cost No pressure

    )331(8

    3)(8

    322

    22222

    2222222

    rrrrrr

    rrrrrrieei

    ieeir

    TBN The maximum value of is reached for

    r F 'r C1 C2r 2 38 2r 3 dF 'dr Frr C1 C2r 2 1 38 2r 2

    2

  • Stress solution for infinite plate with hole Plate with hole subject to biaxial stresses

    Plate with hole subject to internal pressure

    Plate with hole subjected to uniaxial load

  • Theoretical solutions for Kt

  • Coefficients for fatigue assessment Solution for coefficient to calculate the Notch sensitivity index.

    Dimensional coefficient md

    Surface finish coefficient ms

  • Finite Elements