16727_MEC 314 Fits and Tolerances TBO

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    Metrology and Measurement

    MEC314

    Sunil Sharma

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    Fits and tolerances

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    Important terms

    Nominal size = a dimension

    used to describe the general size

    Basic size = the theoretical size

    used as a starting point for the

    application of tolerances

    Actual size = the measured size

    of the finished part after

    machining

    Limits = the max and min sizes

    shown by the toleranced

    dimension

    Allowance = the min clearance

    or maximum interferencebetween parts, or the tightest fit

    between two mating parts

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    Tolerancing why is it needed?

    Tolerances are used to control the variation

    existing on all manufactured parts.

    Toleranced dimensions control the amount of

    variation on each part of an assembly. Tolerances allow for interchangeable parts.

    Parts made by different companies functionally

    fit although they may not perfectly fit.

    Tolerance = the total amount a dimension may vary and is the difference

    between the maximum and minimum limits (e.g. 4.650 0.003)

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    Tolerancing why is it needed?

    Tolerances are used to control the variation

    existing on all manufactured parts.

    Toleranced dimensions control the amount of

    variation on each part of an assembly. Tolerances allow for interchangeable parts.

    Parts made by different companies functionally

    fit although they may not perfectly fit.

    Tolerance = the total amount a dimension may vary and is the difference

    between the maximum and minimum limits (e.g. 4.650 0.003)

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    Tolerancing why is it needed?

    Tolerances are used to control the variation

    existing on all manufactured parts.

    Toleranced dimensions control the amount of

    variation on each part of an assembly. Tolerances allow for interchangeable parts.

    Parts made by different companies functionally

    fit although they may not perfectly fit.

    Tolerance = the total amount a dimension may vary and is the difference

    between the maximum and minimum limits (e.g. 4.650 0.003)

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    Important terms (cont)

    Tolerance = the total allowable

    variance in a dimension

    Max material condition (MMC)

    = the condition of a part when it

    contains the greatest amount of

    material

    Least material condition (LMC)

    = the condition of a part when itcontains the least amount of

    material possible

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    Tolerancing

    Maximum Material Condition (MMC)- when it containsthe most material (Weighs the most)

    Least Material Condition (LMC)-

    when it contains the least material (Weighs the least)

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    Tolerancing why is it needed?

    Tolerances are used to control the variation

    existing on all manufactured parts.

    Toleranced dimensions control the amount of

    variation on each part of an assembly. Tolerances allow for interchangeable parts.

    Parts made by different companies functionally

    fit although they may not perfectly fit.

    Tolerance = the total amount a dimension may vary and is the difference

    between the maximum and minimum limits (e.g. 4.650 0.003)

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    Tolerance Dimensioning

    Tolerance is the total amount that a specific

    dimension is permitted to vary;

    It is the difference between the maximum and the

    minimum limits for the dimension.

    For Example a dimension given as 1.625 .002

    means that the manufactured part may be 1.627

    or 1.623, or anywhere between these limitdimensions.

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    Tolerances

    The Tolerance is 0.001 for the Hole as well as for the Shaft

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    Tolerances

    Plus-or-minus Dimensioning

    Unilateral Tolerance

    Bilateral Tolerance

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    Fits

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    Basic Systems for Fit Specification

    In order to standardize dimensioning of fits, two basic systems are used

    1) Basic Hole System (BHS)

    Minimum hole diameter is taken as the basis. Lower deviation for thehole is equal to zero. Dmax is prescribed according to the specified

    tolerance.

    2) Basic Shaft System (BSS)

    Maximum shaft diameter is taken as the basis. Upper deviation for th

    Shaft is equal to zero. dmin is prescribed according to the specified

    tolerance.

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    Basic Systems for Fit Specification

    tolerance zone

    Fund. Dev.

    Fund. Dev.

    BHS BSS

    basic size

    basic size

    hole

    tolerance zone

    shaft

    hole

    shaft

    tolerance zone

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    International Tolerance Grade Numbers

    In order to establish a preferred fit we need

    1) The magnitude of the tolerance zone for the shaft and the

    hole

    2) Fundamental deviation for the shaft (in BHS)

    Fundamental deviation for the hole (in BSS) International tolerance grade numbers (IT numbers) designate groups of

    tolerances such that tolerances for a particular IT number have the same

    relative level of accuracy but vary depending on the basic size.

    The magnitude of the tolerance zone is the variation in part size. The

    tolerance zones are specified in international tolerance grade numberscalled IT numbers.

    These numbers range from IT0 to IT16. The smaller grade numbers specif

    a smaller tolerance zone.

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    Application,Process Tolerance (mm) IT GradeSlip blocks, reference gages 1-2 1High quality gages, plus gages 2-3 2Good quality gages, gap gages 3-5 3Fits produced by lapping 4-10 4Ball bearings, Diomand or fine boring, fine

    grinding

    5-12

    5

    Grinding, fine honing 6-20 6High quality turning, broaching 12-35 7Center lathe turning and boring, reaming 14-50 8Horizontal or vertical boring machine 30-80 9Milling, slotting, planing, metal roll ing or

    extrusion

    50-100

    10

    Drilling, rough turning and boring, precision

    tubing 70-140 11Light press work, tube drawing 120-240 12Press work, tube rolling 150-500 13Die casting or molding, rubber moulding 250-1000 14Stamping 400-1400 15Sand casting, flame cutting 500-2000 16

    International Tolerance Grade Numbers

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    Fit Types

    There are three types of fitsa) Clearence Fits b) Interference Fits c) Transition Fits

    Clearence Fits

    The mating parts have such upper and lower limits that a clearence always

    results when the mating parts are assembled.

    hole

    Cmin

    shaft

    mm93.25

    mm95.25

    min

    max

    d

    dmm02.0sT

    mm00.26

    mm03.26

    min

    max

    D

    Dmm03.0hT

    Allowance of the fit corresponds to maximum material condition (Cmin).

    Allowance can be calculated by considering tightest fit.

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    Fit Types

    There are three types of fits

    a) Clearence Fits b) Interference Fits c) Transition Fits

    Interference Fits

    The mating parts have such limits that the lowest shaft diameter is larger than the

    largest hole diameter.

    mm02.0sT

    Allowance of the fit corresponds to maximum material condition ( Imax).

    holeshaft

    maxI

    mm02.25

    mm04.25

    min

    max

    d

    d

    mm00.25mm01.25

    min

    max

    DD mm01.0hT

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    Fit Types

    There are three types of fits

    a) Clearence Fits b) Interference Fits c) Transition Fits

    Transition Fits

    Either a clearance or an interference may result depending on the exact value

    of the dimensions of the machined shaft and hole within the specified tolerance

    zones

    hole shaftmm02.0sT

    Allowance of the fit corresponds to maximum material condition ( Imax).

    maxI

    mm02.25

    mm04.25

    min

    max

    d

    d

    mm00.25mm03.25

    min

    max

    DD mm03.0hT

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    Specification for the Fits

    tolerance zone

    Fund. Dev.

    BHS basic size25 H7/g6

    fund. dev.

    for the hole

    IT grade

    for the hole

    fund. dev.

    for the shaft

    IT grade

    for the shaft

    H/(a-z) BHS (fund. dev. for the hole is zero)

    (A-Z)/h BSS (fund. dev. for the shaft is zero)

    Letters I, L, O, Q, W, i, l, o, q, w are not used.

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    Fundamental Deviations (Letter Specification)

    +

    -

    HOLE SHAFT

    A

    BC

    DE F

    GH

    J KMN P

    R S T U V XY Z

    a

    bc d

    e fg h

    jk

    m np r s

    tu v

    xy z

    dF

    dF dF

    dFbasic size

    BHS:H/(a-g) (negative)

    H/(j-k) (depends on size)

    H/(m-z) (positive)

    BSS: (A-G)/h (positive)

    (J-K)/h (depends on size)

    (M-Z)/h (negative)

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    Tolerance on the Fit

    Tolerance on the fit is defined as the sum of the tolerance on the hole atolerance on the shaft.

    minmaxminmax ddDDTTT shf

    Cmin CmaxImax

    Imin

    Cmax

    Imax

    minmax CCTf minmax IITf

    maxmax CITf

    clearence interference

    transition

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    Example

    For a nominal diameter of 25 mm and for a fit specification of H7/j5

    determine the following:

    a) Type of the tolerancing systemb) Tolerance on the hole

    c) Tolerance on the shaft

    d) Upper and lower limits of the hole (Dmax, Dmin)

    e) Upper and lower limits of the shaft (dmax

    , dmin

    )

    f) Type of the fit

    g) Tolerance on the fit

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    Example

    a) H7/j5 Basic Hole System

    b) D = 25 mm, from the given table:

    m0 m21H7 mm

    m4- m5j5 mm

    nominal sizeH7

    j5

    +

    -

    c)

    m21mhT

    m9 msT

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    Example

    d) System)Hole(Basic,0min D

    mm021.25021.025max D

    e) mm996.24004.025min d

    mm005.25005.025max d

    f) Interference fit.

    g) Tolerance on the fit:

    m30921 m shf TTT

    or, m,5max mI m.25421max mC

    m.30maxmax m CITf

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    Tolerance is denoted by 2 symbols, a letter

    symbol and a number symbol, called a grade

    Letter symbols range from A to ZC for holes

    and from a to zc for shafts

    18 grade of tolerances are known as

    fundamental tolerances

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    Fundamental deviations

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    Fundamental Deviations (Letter Specification)

    +

    -

    HOLE SHAFT

    A

    BC

    D

    E F GH

    J KMN P R

    S T U V XY Z

    a

    b c d

    e fg h

    jk

    m np r s

    tu v

    xy z

    dF

    dF dF

    dFbasic size

    BHS:H/(a-g) (negative)

    H/(j-k) (depends on size)

    H/(m-z) (positive)

    BSS: (A-G)/h (positive)

    (J-K)/h (depends on size)

    (M-Z)/h (negative)

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    Runout of gear reflects total variation of specificelements of the tooth surface from axis ofrotation of the gear.

    Runout is commonly measured in directionperpendicular to axis of rotation of gear, theradial runout

    Also determined by measuring the variation of

    specific gear surface elements in a directionparallel to axis of rotation, the axial runout

    Runout is twice the eccentricity