Bolted Joints Slotted Holes

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    BEH vIOR

    OF

    BOLTED JOINTS WITH

    OVERSIZE OR SLOTTED HOLES

    by

    Ronald

    N Allan

     

    John W

    Fisher

    This work was carried out as part

    of

    the Large Bolted Connect ions

    Project sponsored f inancial ly by the Pennsylvania Department of

    Highways the Department of Transportat ion   Bureau

    of

    Public Roads

    and

    the Research Counci l on Riveted

    and

    Bolted S tr uc tu ra l J o in ts

    Technical guidance  s provided by

    the

    Research Counci l on Riveted

    and

    Bolted S tr uc tu ra l J o in ts

    r tz

    Engineering Laboratory

    Department of Civi l Engineering

    Lehigh University

    Bethlehem Pennsylvania

    August 1967

      r tz Engineer ing Laboratory

    Report

    No 318 3

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    1

    2

    3

    4

    5

    6

    7

    TABLE OF

    CONTENTS

    ABSTRACT

    ACKNOWLEDGMENTS

    INTRODUCTION

    PREVIOUS

    WORK

    TESTING

    PROGRAM

    3 1 Description of Specimens

    3 2 Plate Properties

    3 3

    Calibration of Bolts

    3 4

    Fabrication and Assembly of Joints

    3 5 In strumen tation

    of

    Joints and

    Bolts

    3 6 Testing

    Procedure

    3 7 Loss in Tension Studies

    TEST RESULTS  N

    ANALYSIS

    4 1

    Effect

    of Hole

    Size

    on

    Bolt Tension

    and

    Installat ion

    4 2

    Loss in

    Tension

    of

    Bolts

    with Time

    4 3

    Slip Behavior

    4 4 Effect

    of

    Transverse Slotted Holes on the

    Ultimate Str ength o f the

    Joint

    SUMM RY

    TABLES AND FIGURES

    REFERENCES

    Page

    i

     

    3

    6

    6

    9

    9

     

    2

     4

     6

     9

     9

     3

    24

      8

    30

    3

    58

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    ABSTRACT

    Twenty one

    bolted

    joints

    were

    tested

    to

    determine

    the

    ef fec t of oversized

    or s lot ted holes on the

    s l ip behavior and

    u l t i -

    mate strength

    of

    bolted

    joints Hole

    sizes studied

    had

    standard

    1/4

    in and

    5/16 in . clearances. S lo ts

    paralle l and

    t ra ns ve rs e t o

    the l ine of load

    were

    studied. All joints were fabricated from A

    s tee l plate

    and

    fastened

    by

      in . A3 5

    bol ts . Also studied

    was

    the

    need for washers f or o ve rs iz e holes and changes in

    bol t

    tension.

    For

    holes

    with 1/4 in .

    clearance

    there was no decrease in

    the

    s l ip

    coeff ic ient excessive loss in bol t tension or inadequate preload.

    The s tud ie s ind ic at ed that a washer i s desirable under th e turned

    element to

    p revent s ev er e gall ing.

    A

    decrease

    in

    the

    sl ip

    co-

    eff ic ient

    was observed for the joints with 5/16 in . hole

    clearance

    and for

    those with

    slotted holes.

    Slotted

    holes perpendicu la r to

    the

    l ine

    of

    load

    did

    not

    decrease

    the ultimate

    strength

    of

    the

    jo in ts

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    CKNOWLEDGMENTS

    The project has been sponsored f inancial ly by the

    Penn-

    sylvania Department of Highways the U.S. Department of   ommerce -

    Bureau

    o f P ub lic

    Roads

    and the

    Research

    Council on Riveted and

    Bolted St ruc tu r al J o in t s.

    Technical

    gUidance has been provided by

    the

    Council

    th ro ug h an advisory committee under the chairmanship

    of

    Mr N G Hansen.

    The authors

    express their thanks

    to

    their

    co workers

    Geoffrey Kulak and James Lee for help

    with

    the tes t ing and to

    Ken Harpel

    and

    his

    laboratory

    technicians. The manuscript was

    typed by Daphne iversley

    and

    the photography and drawings done

    under the supervision of Richard Sopko.

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    1. INTRODU TION

    The

    current

     1966

    Speci f icat ions

    for

    S tr uc tu ra l J oi nt s

    using  STM A325

    or

    A49

    Bolts ,

    as approved by the Research Council

    on

    Riveted

    and Bolted

    S tr uc tu ra l J oi nt s

    recognizes

    two types of

    shear connect ions , des igna ted as fr ic t ion-type

    and

    bearing-type,

     

    respect1ve

    y.

    In a f r ic t ion- type jo int movement of t he connect ed

    parts

    is

    not

    tolerated

    because of

    the

    detr imental

    effects on th e b eh av io r

    of the s t ructure .

    For

    th is type of jo in t s l ip const i tutes fai lure

    and

    working

    loads must

    be

    resisted by fr ict ion

    between

    the connected

    parts

    with

    a

    reasonable

    factor of safety against s l ip

    Where sl ip of the bolted jo in t is not objectionable, a

    bearing-type

    connection

    can

    be

    used. For

    th is

    type of

    jo int

    the

    working

    loads

    may be

    resisted by bearing of the bol ts against

    the

    sides

    of th e

    holes.

    In

    such

    a connect io n, th e she ari ng of th e bol ts

    or

    fa i lure

    of

    the

    connected parts i s c r i t i ca l

    and

    allowable stresses

    are

    based on the u lt ima te s tr eng th of

    t he connect ion.

    The present specifications

    specify

    tha t

    the

    bolts

    in a

    bolted

    connection

    are to be used in

    holes

    not more than 1/16

    inch

    in

    excess

    of the bol t

    diameter.

    l

    There

    are no provisions

    in the speci-

    f icat ions for the use of larger or

    slot ted

    holes.

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    -2-

    Most of

    the

    studies

    on

    bolted connections

    have

    used

    t es t

    joints having

    hole s w ith

    a

    1/16

    inch clearance. There

    is

    a

    need to

    evaluate the performance o f bolted connections

    with

    a greater amount

    o f ove rs iz e

    because   frequently occurs because of

    reaming

    and

    mis-matching. Slotted

    holes

    are

    a lso o fte n necessary

    when a new

    s tee l

      d 2 h d

    structure

      S connecte to an

    eX1st1ng

    structure. Bot overS1ze an

    s lot ted

    holes

    are d es ira ble to permit

    erect ion

    adjustments.

    The

    purpose

    of

    this study is to

    evaluate

    th e

    effect

    oversize

    and s lot ted holes have on

    the

    s l ip resistance and ultimate strength of

    bolted joints . The results of

    this

    study should provide information

    on whether

    jo ints with ove rs iz e

    or

    slotted hol es f unct ion

    sat isfac

    to r i ly as friction-type or bearing-type

    connections.

    The

    study

    is

    primarily concerned

    with the effect

    oversize

    and s lot ted holes have on:  1 losses

    in

    bol t

    tension

    a ft er i ns ta l

    lat ion,

     2

    th e

    s l ip resistance of a jo in t 3

    the abil i ty

    to tig hte n

    bolts using the

    standard

    ins ta l la t ion technique,  4 whether washers

    are

    needed

    for oversize

    holes

    and  5 the changes in

    bol t

    tension

    during tes t ing.

    The effect

    of

    slotted

    holes

    placed

    perpendicular

    to

    the

    l ine of loading on ultimate strength was also observed.

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    -3-

    2

    PR V OUS

    WORK

    Various studies have

    analyzed t he behav io r

    of

    high strength

    bolts and

    bolted

    joints when the bolts

    were

    ins ta l led in holes larger

    than

    their diam eters. E arly

    laboratory

    and

    f ield t es t s indicated

    tha t

    among

    other things,

    high strength

    bol ts

    could be ins ta l led in

    holes up

    to

    1/16 in . larger than the i r d iameter wi thou t a noticeable

    effect on the

    performance of the bol ts or of the jOints.

    3

    Therefore,

    the

    Research

    Council

    on

    Riveted and Bolted

    Structural

    Joints

    per-

    mitted a

    bol t hole clearance

    of

    1/16 in .

    in the i r

    f i r s t

    specifica-

    t ion

    issued in 1951.

    4

    Hoyer

    reported in   959 that studies conducted in Germany

    indicated

    that

    there

    was no

    influence on

    the sl iding

    load

    for holes

    up

    to

    1/8-in.

    larger than

    the bolt

    5

    Chesson

    and Munse

    studied the

    effec ts

    of t ightening

    bolts

    in holes

    with

    up to 1/8 in . clearance using

    the

    turn-of-nut method

    with and without

    washers

    under

    the

    turned

    element. They concluded

    that

    oversize

    holes up

    to

    1/8 in .

    greater

    in diameter than the bolt

    may

    cause

    some reduction in bol t tension when washers are omitted and

    when

    f inished

    hex head bol ts and nuts

    are

    used,

    but

    the clamping force

    wil l

    s t i l l be

    in excess

    of the required tension for

    A325 bolts See

    Fig.

    1

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      4

    Studies

    to determine th e loss in prelo ad o f high strength

    bol ts

    due

    t o r el ax at io n

    have

    generally indicated

    that

    the

    to t l

    loss

    is

    about

    1 of

    the

    in i t i l preload.

    Research

    conducted in Germany

    since

    1954 has

    shown

    that high strength bol ts lose about 1

    of

    h

     

    1

    d d 6 7 Al h

    1

    d

    e1r pre

    oa

    over a

    two ye ar per10  

    so t e pre oa was un

    8 9

    affected

    by

    temperature

    changes.

    In South

    Africa Denkhaus ob

    served that the

    loss

    in

    bol t

    load using

    a

    washer

    was

    about   f ter

    1

    day and 2 from

    1

    day to

    1

    year. Studies on

    high tensi le bol ts

    in

    Japan

    lO

    showed

    bol t relaxations of about

    6

    f ter 11

    years for

    bolts

    tightened

    to their y ie ld p oi nt .

    Chesson

    and

    Munse

    5

    also

    observed

    the

    effects of h oles w ith

    up to

    1/8

    in .

    clearance

    on

    the relaxation of A325

    bolts. They

    found

    that there was no

    signi f icant difference

    in the amount of bol t ten

    sion

    los t

    with

    time

    for

    the

    1/8 in . clearance

    holes ei ther with or

    without washers .

    The loss in

    bol t tension for   l l tes ts

    was

    less

    than 1

    over

    a period

    of

    from

    1 to

    5

    days.

    Tests conducted by the

    Lamson

    and Sessions

    Company on a

    load

    analyzer showed a loss

    in tension of less

    than

    1 over

    a period

    11

    of days.

    A

    study to determine

    the decrease of

    the

    preload in

    high

    strength bolts over a period of time was

    conducted

    in the Netherlands.

    12

      t

    was

    concluded that the

    loss would be

    about

    5 over 2 years for

    a

    bol t with 2

    washers

    and about

    1

    over 2

    years for a bolt with one

    washer.

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     5

    Studies to determine the changes in tension

    in

    the bol ts

    f

     

    1 d

    1

    d d d

    Leh·

    h

    U

    13a

      o ~ n t

    as

    oa

    was app

    were

    con

    ucte

    a t

    n ~ v e r s ~ t y

    Bolt tension

    decreased

    from

    1 to

    8

    a t

    major

    s l ip

    due to

    the

    Poisson

    effect

    Joints

    with a 4 in . grip showed a decrease

    in bo lt

    tension

    after major s l ip Nester

    14

    observed a decrease in bol t tension from

    o to 8.6

    a t

    major s l ip

    There is

    no

    record of

    any research

    done to

    date

    on the

    effect

    of

    s lot ted

    holes

    on

    the

    performance

    of

    ei ther

    high strength

    bol ts o r bo lted jo ints

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    -6-

    3.

     

    TESTING

    PROGRAM

    3.1 Description of Specimens

    All

    twenty-one

    t es t specimens

    were

    fabricated from l n

    A36 s tee l plate supplied from the same heat. They had two l ines

    of

    1 in .

    diameter

    A325 bol ts connecting

    four

    plies of

    plate

    at a

    pitch

    of 5-1/4

    in .

    The faying surfaces were clean

    mill s ca le .

    Twelve

    specimens wit h hole s

    of varying

    amounts of

    oversize

    and

    three

    specimens

    with slotted holes

    were

    des igned a s fr ic t ion-

    type jo in ts . The geome tri ca l la yout o f

    the

    oversize hole jo ints is

    shown in Fig. 2.

    The

    twelve

    joints with oversize holes were divided

    according

    to

    hole

    size

    into

    four

    groups

    of three

    jo in ts .

    The

    ra t io

    of

    net

    plate

    area to to ta l bolt shear area  the A A ra t io was 0.68.

    n s

    The

    f i r s t group of three jo in ts

    designated

    OH

    had a hole

    diameter

    of

    1-1/16

    in . providing the maximum allowable

    hole

    clearance

    of 1/16 in .

    These

    three jo ints served as control specimens.

    Because

    the holes

    were

    normal

    s ize

    the bol ts

    were

    instal led

    without

    washers.

    I n ano th er phase of this research

    project

    a number

    of

    bolted jo ints

    were

    tested to

    determine the

    influence

    o f v ar ia tio n

    of

     

    the contact area upon the s l ip

    resis tance.

    These spec imens were

    fab-

    ricated from the same

    plate as

    the specimens

    being

    discussed. The

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    -7-

    faying

    surface

    condition was ident ica l

    for

    both

    groups of

    jo in ts

    The joints

    of

    the l a t t e r series had a single l ine of

    four

    7/8

    in .

    A325 bol ts and

    the

    contact

    area

    was

    varied

    by insert ing washers be

    tween the

    main and

    lap pla tes . The hole

    diameter

    was

    1/16

    in . larger

    than

    the bol t

    size.

    The

    three control specimens for

    the

    series

    did

    not have washers between

    the plates. Thus the

    phys ic al cond it ions

    affecting the sl ip behavior were the same for these

    control

    specimens

    as

    they were for

    the

    th re e con tr ol jo in ts  ORl

    series

    of the oversize

    hole j oi nt s eri es

    Therefore

    a

    direc t

    comparison of the sl ip

    co

    eff ic ients

    can

    be

    made.

    The second

    group

    of

    three

    jo in ts designated OR2

    had

    a hole

    diameter

    of

    1-1/4

    in .

    providing four times the

    maximum

    a ll owab le hol e

    clearance. These jo in ts were also

    bolted

    up without washers.

    The third

    group

    designated

    OR3

    also

    had

    a

    hole d iame te r

    of

    1-1/4

    in .

    These were bolted up

    with

    washe rs under the nuts

    in

    order

    to

    determine whether

    or

    not washers should

    be

    required for holes of

    th is

    amount of

    oversize.

    The

    fourth

    group of jo in ts designated OR4 original ly

    had

    hole d iameter s

    of 1-3/16 in . which provided three times the maximum

    a llowable hole

    clearance.

    The

    holes

    in

    these

    three

    jo in ts

    were

    en

    larged to 1-5/16

    in .

    when the joints with

    the 1-1/4

    in . holes indi

    cated no

    signif icant

    change

    in s l ip behavior from th e c on tr ol specimens.

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      8

    The nine jo ints with slot ted holes had

    th e

    slots placed

    in the middle or main plates . Slotted h ole s lo ca te d in outside

    pl ies would

    normally

    be

    covered

    with large

    washers

    which

    would

    cause

    these pl ies

    to act a s e nc lo se d plates similar

    to th e t es t

    jo in ts .

    The s lots were

    2 9/16 in . long and 1 1/16

    in .

    wide.

    The

    holes in the outside plates provided

    the

    maximum allowable hole

    clearance of

    1 1/16 in . The jo ints were assembled

    without

    washers.

    Three jo ints  SR1

    contained s lo ts

    placed

    para l le l

    to the

    l ine

    of load as

    indicated

    in Fig. 3.

    These w ere

    designed as f r ic

    t ion type jo ints

    and the

    A /A ra t io was the same

    as that

    of the

    n s

    oversize

    hole joints

    so

    that

    th e

    effect of slot ted holes placed in

    the

    direct ion

    of s l ip on

    the sl ip resistance could be observed.

    Six

    jo ints

    were

    designed

    as

    bearing type jo ints

    and

    had

    s lots placed perpendicular to the

    l ine

    of load as shown in Fig. 4.

    Three of

    these jo in ts

    designated

    SR2, were

    proportioned

    with current

    l y u sed a llowable st resses and fai lure

    was expected to

    occur

    by tear

    ing

    of the

    plate a t

    the net section. Their net

    section

    area was

    equal

    to

    the bolt shear

    area. The

    net section

    efficiency was 60

    The

    remaining

    three

    jo in ts

    designated SR3, had an

    in

    creased

    net

    section area so that fai lure

    would

    occur

    by shearing

    of

    the

    bolts . Earlie r experimental and

    theoret ical

    studies

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      9

    ha d shown that

    this

    would occur i f net sect ion area was  6 greater

    than

    bol t

    shear

    area.

    3.2

    Pl at e P rope rt ie s

    The A 6 s tee l plate used

    for the

    specimens was purposely

    ordered

    a t

    minimum

    s t rength.

    The plates

    furnished

    from the same

    heat were

    rol led

    2 8 1 /2 i nc he s wide and  4 feet long. A   f o o ~ -

    long

    section

    was

    cut

    from

    the

    middle

    of

    each

    plate

    Standard

    ten-

    s i le

    coupons cut from

    this

    piece were

    tested in a mechanical uni-

    versal tes t ing

    machine

    equipped with an

    automatic

    load s t ra in

    re -

    corder . The tes t ing speed was

    0.025

    inches per minute unt i l

    s t ra in

    hardening began. The

    s ta t ic

    yield load was obtained by stopping

    the machine   times during yield and allowing

    the

    machine

    to

    equalize

    each

    time.

    When the coupon

    went

    into

    s t ra in

    hardening

    the

    tes t ing

    speed was

    i nc re as ed to

    0.3 inches

    per

    minute unt i l the coupon fai led

    The load s t ra in curve for an 8 inch gage

    length

    was plot ted by

    the

    automatic rec ord er fo r

    each

    coupon.

    Fifteen s ta nd ar d b ar tensi le

    coupons were tes ted.

    The

    mean s ta t ic

    yield s t ress

    of

    the

    plates was

    29.3

    ksi with a standard

    deviation

    of 0.6

    ks i

    The mean

    tensi le

    strength was 61.0

    ksi

    and

    i t s standard

    devia t ion

    was.D.7

    ks i

    3.3

    Calibration

    of

    Bolts

    One i nch d iame te r A 5

    bol ts

    were

    used

    to bolt up

    a l l

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      10

    jo in ts

    Because some

    joints were bolted

    up with

    washers and

    some

    without;

    two different

    bol t

    lengths

    were

    required. Joints

    without washers used 5 1/4 in . b olts; joints with washers used

    5 3/4 in

    bol ts

    Representative samples of bol ts from each lo t were ca l i -

    brated in both direct tension and

    torque

    tension

    to

    determine

    their propert ies. Three bolts from each lo t were chosen

    at random

    for

    each

    cal ibrat ion.

    All

    of

    the

    calibrated bol ts

    sat isf ied

    the

    minimum

    proof load and ult imate load requirements specified by the

    ASTM Both

    lots

    of bolts had tensi le strengths that exceeded mini-

    mum strength

    by

    13 to 15 In

    both the

    direct tension and torqued

    tension cal ibrat ions

    the

    bol ts remained e las t ic well above

    th e

    required minimum tension. Since

    the bol ts

    were held a t

    the

    same

    grip

    when

    tested as

    existed in the joints

    t he load e longa tion

    curves used in

    the

    torqued tension cal ibra t ion tes ts were .used

    to

    determine the

    tension in

    the bolts instal led in

    the

    joints

    3.4 Fabrication

    and

    Assembly

    of Joints

    The

    t es t

    jo ints

    were fabricated

    by a

    local s tee l fabri -

    cator.

    The

    individual plates were

    flame cut

    to rough size and

    t hen m il led to the

    specified

    jo int dimensions. The

    faying

    surfaces

    were

    cleaned of

    loose mill

    scale and burrs .

    The

    four c orn er h ol es

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    of each

    oversize hole

    joint assembly were then sub dri l led

    and

    reamed f or a li gn ment .  he fou r r emaining holes were

    then

    dr i l led

    through a l l four

    plies of

    s tee l

    to the

    s pe ci fi ed s iz e

    while the

    plates

    were

    held in alignment

    by

    s tee l pins in

    the

    corner holes.

     he s lot ted holes were f o ~ m by dr i l l ing two adjacent

    holes in the plate and then

    removing the

    metal between

    them.

    Fil le r plates were welded to the lap plates on

    one

    end

    of

    each

    jo int  nd the m in

    plates

    were welded together at the

    grip

    end to ensure

     

    uniformity of

    wedge

    g rip a ctio n during

    t es t -

    ing.

    Cleaning assembly

    and i ns trumen tat ion of the

    joints

    were performed at Fritz Engineering Laboratory. Before assembly

    the

    jo ints were

    cleaned

    with shop solvent to remove any

    grease

    or other

    foreign

    material .  hey were then assembled and aligned.

     he bolts were

    instal led

    either w ith or w ith out washers

    depend-

    ing on the individual t e s t ·  he turn of nut ins ta l la t ion

    pro-

    cedure

    w s

    used.

     he

    bol t

    tensions were

    determined

    by

    measuring

    the changes in bol t

    length

    with the extensometer and

    then

    de-

    t er mining the cor re sp on ding

    bol t tension from

    t he to rq ue d

    tension

    cal ibra t ion

    curve.

    In a l l

    of

    th e

    jo ints except the

    three

    with

    hole dia-

    meters of 1 5/16 in the bol t tension

    varied from

    the

    required

     

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    minimum tension

    to

    50

    above t he r e9ui red

    minimum tension. When

    two

    of

    the

    joints

    with

    the

    1-5/16

    in .

    holes  OH4

    ser ies

    were

    bolted up with washers

    under

    the nuts only half of the bol ts

    failed

    to

    achieve

    proof

    load   f ter   2 turn

    of nut. The

    bol ts

    were removed and   l l

    three

    jo ints were

    bolted

    with washers placed

    under

    both the

    heads

    and the nuts.

    3.5 Instrumentation of Joints and Bolts

    All

    of

    the specimens were instrumented

    to record the i r

    performance

    during

    tes t ing

    including

    jo in t

    s l ip elongation and

    alignment.

    Dials

    reading

    to

    0.0001 in .

    were attached to tabs

    tack

    welded

    to

    both

    sides of

    the

    main plate

    in

    l ine with

    the bottom

    row.of

    bolts .

    The

    pointers

    of these

    gages

    rested

    on

    a

    frame

    tack

    welded to the lap plates in l ine with the tabs. Thus s l ip move-

    ment

    between the

    main and lap

    plates

    was measured on one

    l ine

    and

    effects

    due

    to axial

    strains were

    minimized.

    Joint elongation was measured between points one

    gage length above the to p l ine of bolts and

    points

    one gage

    length

    below

    the

    bottom

    l ine

    of

    bol ts .

    These.

    points

    were

    locat

    ed

    on the

    center l ine of

    the

    joints

    the

    top points on both fa ce s

    of the main plate and the

    bottom

    points on both lap plates .   ne

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      13

    half inch studs were tack welded to

    th e plates

    a t these points .

    Elongations

    were

    read

    from

    0.0001

    in .

    dials

    that

    read the

    re-

    lat ive movement

    of

    the studs by means

    of

    a

    sl iding

    rod arrange

    ment.

    Elect r ica l resistance s t ra in gages were attached to the

    sides of the main and la p

    plates of a l l of

    the joints

    to

    detect

    any eccentr ici ty of loading caused by uneven gripping or curva-

    ture

    of the

    joint

    and

    also to

    determine

    the onset of

    yielding.

      number

    of the

    bolts

    were

    ins trumented with

    elect r ical

    resistance fo il s tra in

    gages

    cemented to their shanks. Flat

    areas 1 1/16

    in .

    long

    and 1/16 in . d eep were milled into

    th e

    shank

    under

    the bolt

    head

    to

    provide

    a

    mounting surface for the gages.

     he

    gages

    were placed on opposite sides

    of

    the

    shank

    paral le l

    to

    the axis of the

    bol t .  he

    g ag e w ire s p ass ed thr ou gh

    two

    holes

    dr i l led

    through

    the bol t head.

      t

    was d isc ov ered during th e direc t tension cal ibrat ions

    that the

    shanks

    for

    the

    bolts

    remained

    elas t ic into the range of

    bol t tension achieved by the turn of nut method of

    ins ta l la t ion

    and

    a l inear

    load strain

    relationship existed

    as

    shown in

    Fig.

    5.

    Since the gaged port ion remained e las t i c i t

    would

    no t

    be so affected by the high load and very l i t t l e creep would occur.

      the other hand ine las t ic

    deformation was

    occurring

    in

    the

    threads

    so

    that the overal l bol t elongation could not be expected

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    -14-

    to yield

    consistent

    results

    Each gaged

    bolt

    was

    calibrated

    in d ire ct

    tension

    in

    order to re la te the

    strain r eadings with

    the

    tension

    in the bol t .

    During

    the cal ibrat ion,

    the

    bolts were

    loaded

    in

    10

    kip

    incre

    ments

    to

    50 kips and

    then

    in 5

    kip

    increments

    to

    65

    kips.

    The

    ove ra ll b ol t elongations were also

    checked

    with the extensometer .

    I t

    was observed that

    the

    reduced

    area

    of shank

    due

    to

    the m illed

    surfaces did

    not cause

    any

    measurable

    difference

    in

    th e

    l o ~

    elongation relationship

    of

    the bolts

    as

    compared

    to the

    bolts

    without gages. The load-strain

    reading

    relationship of the

    gaged

    bolts was l inear for

    both

    the loading

    and

    unloading cycles.

    Four gaged bol ts were used in each of

    six

    of the

    bolted

    joints: OH1 1 and OHl 2  1-1/16

    in . diam.);

    OH2 l  1-1/4 in . dia

    no

    washers);

    OH4 l

     1-5/16

    in .

    diam.,

    2

    washers);

    SHl-1

     slots

    paralle l to

    l ine

    of

    load);

    and SH3-l

     slots

    perpendicular

    to

    the

    l ine of load). The bolts were arranged in a staggered pattern

    as shown in Fig.

    6.

    3.6 Testing

    Procedure

    All of the

    joints

    were

    tested

    in

    a

    5,000 kip

    universal

    test ing machine us ing f la t wedge grips. Each jo in t was

    held

    by

    the

    top

    grips

    of

    the

    machine

    while

    dials were ~ l e d on

    th e sp eci

    men The

    dials

    and s tra in gages were a l l read at z ero load. The

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    bottom grips

    were

    then applied

    and loading

    s tar ted .

    Load was

    applied

    in

    25

    kip

    increments

    un t i l

    major

    s l ip

    occurred.

    At

    each

    increment a l l

    dials

    and

    strain

    gages were read.

    For the friction type jo in ts

    the

    s l ip behavior

    was

    ob -

    served closely. Following major s l ip the dials

    and

    gages were

    read

    and load

    was applied

    in

      kip

    increments unt i l another s l ip

    smaller

    than the original

    s l ip and designated

    as

    a minor s l ip

    occurred.

    This

    loading

    sequence

    was

    repeated

    for

    a l l

    subsequent

    minor

    sl ips unt i l the

    jo int

    went

    into

    bearing at which

    time

    the

    t es t was

    stopped.

    For th e b ea rin g joints the t es t was

    carr ied

    to ul t i -

    mate and fa i lure .

    The

    i n i t i a l s l ip load

    was

    observed and the

    jo int

    was

    then

    loaded

    in

    5

    kip

    increments

    unt i l

    th e

    load

    approached

    the predicted ul timate

    strength.

    The

    p la te f ai lu re

    specimens were then

    loaded

    to

    fai lure

    whjch occurred when th e

    main

    plate tore

    apart a t the

    top

    l ine of s lots The b olt f ailu re

    specimens were loaded unt i l the top

    row

    of b olts f aile d in shear.

    After the joints were

    removed

    from the tes t ing machine

    each

    one

    was

    dismantled.

    The

    fracture surfaces of the

    plate

    failure

    specimens and

    faying

    surfaces

    were

    inspected.

    A sawed

    sect ion

    of one of

    the b olt f ailu re specimens

    was

    taken to in -

    spect the

    condition

    of the bolts and the

    s lot ted holes.

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    3.7

    Loss in Tension

    Studies

    Immediately

      fter the nu t on  

    high strength

    bol t

    is

    t ightened loss in

    bol t

    tension

    occurs. This

    is

    thought

    to be

     

    resul t of creep

    or plast ic

    yield in t he th re ad ed port ions and

    e l s t ic

    recovery caused by pl s t ic flow in the s tee l plates

    under

    the

    head

     nd nut.  om research

    has been

    done on holes with the

    s ta nd ar d h nl e c le ar an ce o f 1/16

    in .

    Only   few relaxation

    t es t s

    have been conducted on larger holes.

      t

    w s

    desirable to e va lu ate

    the

    effect

    on relaxation

    of holes tha t

    were

    substant ia l ly

    oversize.

     he largest hole

    size studied w s 5 16

    in .

    oversize

    2 1 2 times the  mount in

    previous studies

    of holes 1 8 in .

    oversize.

     he effect of the

    enclosed slot ted holes on loss of bolt

    tension

    w s

    also

    eval-

    uated.

    Since t he load e longa tion relationship of the bolt

    shanks

    w s l inear within the range of bol t tension used the

    bol ts with the str in gages

    cemented to thei r s hank s s ho ul d give

    an accurate

    indication of the bolt tension a t any time.  hus

    meaningful

    relationship of the bol t

    tension

    varia t ion with

    time

    could be established.  he six bolted joints containing the gaged

    bol ts

    provided   good representat ive sample of   l l

    of the

    joints

    in

    the study.

     he

    six joints were

    placed

    horizontally and were

    not

    disturbed

    for the

    duration

    of the study. Strain

    gage

    readings

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      17

    were taken

    a t the

    moment each bol t was

    ins ta l led

    Subsequent

    readings

    were

    taken

    a t

    one

    minute

    five

    minutes

    one

    hour

    one

    week two weeks and one month after

    ins ta l la t ion

    The

    strain

    gage indicator

    remained

    connected

    to the

    s tra in

    gaged

    bol ts

    through a

    switch box for the duration of the

    study. In addi-

    t ion

    to

    the strain gage

    readings

    extensometer

    readings

    were

    taken

    a t the

    same

    intervals on a l l

     

    bol ts of each jo in t This

    provided

    an opportunity to correlate the s tra in readings on the

    bol t

    shanks

    with the bol t elongation

    readings.

      t

    the

    completion

    of the stu dy the six joints were

    tested

    using

    the

    standard

    procedure.

    During

    each t e s t s tra in

    readings were

    taken

    so

    tha t the

    changes

    in bolt

    tension during

    tes t ing

    could

    be

    observed.

    In order

    to

    check

    the

    accuracy

    of

    the

    bol t

    gage

    readings

    over an

    extended

    period of

    time

    gaged bol ts

    of the

    same lo t were

    instal led in

    a

    load ce l l as

    shown

    in

    Fig.

    7.

    The

    load ce l l

    was

    made

    of hardened tool

    s tee l and had a hole

    1 1/16 in . in diameter

    through i t s

    center

    through which

    the

    bol t

    was

    inser ted .

    Four

    strain

    gages

    were

    cemented to the outside of the load ce l l two

    placed horizontally and

    two

    placed ver t ica l ly

    They

    were con-

    nected to

    a

    strain gage indicator in

    a Wheatstone bridge arrange

    ment.

    One half

    inch thick A

    s tee l plates were

    placed

    over

    each en d of the load

    ce l l

    so that the behavior of the plates

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      18

    under the head and nut

    would

    be

    similar

    to the behavior

    of

    the

    plates in the actual jo in ts

    Three

    sets

    of these

    plates were

    used one

    se t

    for each of the three

    hole

    diameters used

    in the

    oversize

    hole specimens.

    The

    tot l grip of

    the

    assembly

    was

      inches.

    Thus the

    condit ions

    tha t

    affected the

    relaxation be-

    havior of

    a bolt in the

    t es t

    joints were closely approximated.

    The bolt to be studied was ins tal led while the load ce l l

    assembly

    was

    firmly held

    in

    a

    vise.

    The

    bolt

    gages

    and

    the

    load

    ce l l

    gages

    were connected to sep arate str in

    gage

    indicators

    set to indicate a load of 6 kips. The

    nut

    was t ightened by a

    hand wrench

    unt i l the

    desired

    load was reached. Readings were

    taken for both the bol t

    tension

    and load ce l l

    deformation

      t

    intervals

    of one minute

    5

    minutes

    one hour and

    each

    day

    for

    a week.

    Overall

    bol t elongation

    readings

    were also taken

    with

    the extensometer.

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    -19-

    4.

    TEST RESULTS

    AND

    ANALYSIS

    4.1

    Effect of Hole Size on Bolt Tension and Ins ta l la t ion

    I t is of in te res t to examine the effect of

    varying

    hole

    diameters

    on the ease of ins ta l la t ion degree of scouring,

    and clamping force of bol ts

    ins ta l led

    by th e

    turn-of-nut

    pro

    cedure.

    The bol ts

    in the

    OHl joints  1-1/16 in . hole diameter

    were ins ta l led without washers in accordan ie w ith th e present

    specifications for

    bolted jo in ts which permit ins ta l la t ion

    without

    washers

    when using the

    turn-of-nut method. There

    was

    no diff icul ty

    in

    achieving a

    bol t

    tension

    above the required

    preload in these

    jo ints

    The tension achieved in

    the

     4

    bolts

    of the   control jo ints ranged

    between

      5

    and

     49

    of

    the

    requi red pre load ,

    as shown

    in

    Fig.

    8.

    The average

    bol t

    elongations

    and

    tensions

    for

    each jo in t are

    l is ted in

    Table 1.

    The mill

    scale on

    the

    plate area under

    the

    turned

    element

    around

    the 1-1/16 in . holes was

    s l igh t ly

    galled as shown in

    Fig.

      a

    A s l igh t

    depression occurred

    under

    the

    bol t

    head,

    as shown in Fig. 9b. This

    nominal

    amount of damage indicates

    tha t

    washers

    are not

    required

    under

    the

    head or

    the

    turned

    element for

    holes tha t

    contain

    the

    nominal

    amount of

    clearance.

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    The bol ts

    in

    the 3

    joints

    of the

    OR

    series   i l /4

    in .

    hole diameter were insta l led without washers while the bolts

    for

    the OR series  also

    1-1/4

    in . hol e d iame te r were

    installed

    with

    washers under the turned e lemen ts .

    There

    was no diff iculty achiev

    ing bol t

    tensions

    above the minimum required tension in a l l six

    jo in ts . The

    average bolt

    elongations and tensions

    for

    th e two

    series are summarized in Table 1.

    The

    range

    of

    bol t tensions

    achieved for each series is shown in Fig. 8.

    As can be

    seen in Fig.

    8, the

    average

    bol t

    tensions

    for

    the

    two groups containing 1-1/4

    in .

    holes were about equal  118

    of proof load

    but

    were noticeably lower than th e average tension

    in

    the control groups  130 of proof

    load .

    Plate depressions

    occurring

    under

    bolt heads during t ightening

     Fig. lOa

    were

    greater

    than

    those that had occurred in the control joints .

    This

    meant

    that t he e longa tions

    of

    th e

    bolts in

    th e

    1-1/4

    in . holes

    were sm aller than those in

    the control

    joints af te r 1/2 turn-of

    nut and

    hence the

    bol t

    tensions were

    reduced.

    Severe

    galling

    of both the

    plate

    and th e nu t had

    oc

    curred

    during

    ins ta l la t ion in

    the

    OR ser ies .

    The damage to

    the

    plate

    is shown in Fig. lOb. For comparison, th e s ur fa ce

    con ditio n of the plate where washers were used under th e nuts

    in

    the

    OR

    series is shown in

    Fig. 11. Only

    a s,light

    depression

    occurred under the

    washer. I t can

    be

    seen from Fig.

    8 that th e

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    of washers in the 1 1/4

    in .

    holes did

    not

    affect the average clamp-

    ing force

    of

    the bol ts . However the scat ter in bolt

    tens.ion

    for

    the

    bol ts

    without

    washers

    was nearly twice

    as

    large as the

    scat ter

    in the bolt te ns io n fo r the

    bol ts

    that were instal led

    with washers.

    The 1 3/16 in . holes in the OH4 s eri es jo in ts

    were

    dr i l led

    from the original to

    1 5/16 in .

    af te r the

    studies

    on the s l ip

    be-

    havior

    of the

    OH2

    and

    OH3

    series. The

    bol ts

    in two of

    the three

    OH4

    s erie s jo in ts were

    ins ta l led with

    washers placed

    under the

    nuts

    be-

    cause

    of

    the

    severe gall ing

    that occurred

    in the OH2

    series

    when the

    bolts were ins ta l led

    without

    washers. When the bolts in these two

    specimens were t ightened by t he s ta nd ar d turn of nut procedure

    hal f

    of

    the

      6

    bol ts failed

    to

    achieve the i r

    required minimum ten-

    sion. The

    bolts

    were removed from the

    jo in ts

    In spection of the

    two jo ints revealed

    tha t

    the

    bol t

    heads

    had

    recessed

    severely into

    the

    plate

    around the

    holes

    far more than

    in the OH2 and OH3

    ser ies

    as

    shown

    in Fig. 12 . In this instance the

    elongations of the

    bolts

    were

    reduced suff ic ient ly

    so

    that

    the

    bol t preload

    was

    less than

    the required

    minimum

    All three OH4 joints were then rebolted with washers

    in -

    stal led under both

    the

    heads

    and

    nuts. This time there was no

    diff icul ty in achieving bol t

    tensions

    above proof

    load

    as

    indica ted

    in Fig.

    8.

    The range of

    tensions

    a ch ie ve d f or bolts

    ins ta l led

    with

    washers under

    both

    the.head and the nut was from 11

    to

    144 of

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    proof load with

    an

    average

    tension

    of

    125 of

    minimum

    tension.

    This

    compares

    with

    the range

    of

    bol t

    tensions

    achieved

    in

    the

    bol ts in

    the control

    joints

    The resul ts

    of these studies can be extended to

    determine

    the

    maximum a llowable hole c le ar an ce f or

    other

    sizes of A 5 bol ts

    for the

    given grip

    length in A36 steel plate . The diff icul ty in

    achieving

    proof load tension

    was a resul t

    of the

    bol t

    depressing

    in -

    to

    the

    pla te

    around

    the

    hole. In

    the holes with

    the

    5/16

    in .

    clear-

    ance

    the

    bol t

    heads r ecessed severe ly

    into

    the

    plate because

    the

    bear ing pressure

    between

    the f la ts

    of the

    heads and th e plate was

    in i t ia l ly

    to o high. This was no t

    the

    case for th e bol ts that were

    in sta lle d i n

    the

    holes with 1/4 in .

    clearance.   t can be assumed

    tha t

    the bear ing pressure developed under the f la t areas of the

    bol t

    heads

    with 1/4 in . clearance

    holes

    was the maximum a llowable bea ring

    pressure.

      t was 72 ksi when

    the

    bol t preload was 2 in excess

    of

    the

    required tension.

    The maximum

    hole clearance

    for

    any size

    bol t

    may then

    be computed

    on

    the basis

    tha t

    the area of

    plate

    re-

    maining under

    the f la t of the head must be suff ic ient to

    permit a

    maximum

    bearing

    pressure

    of

    7 ksi when the

    bol t is

    ins tal led

    The resul t s

    of these

    computations

    are

    summarized in Table

    2 All of

    the

    hole d iameter s have

    been rounded

    off

    to

    the

    nearest

    sixteenth of

    an

    inch. The maximum a llowable hole

    clearance

    for

    bol ts

    equal

    to

    or

    less than one inch in diameter is 3/16 in . Fo r

    bol ts with d iameter s greater than

    one

    inch a 5/16 in .

    hole clearance

    is

    permissible.

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    4 2

    Loss

    in Tension o f

    Bolts

    with Time

    The

    loss

    in ten sio n

    on e

    minute a ft er i n st a ll a ti o n

    agreed

    w ith the

    one-minute l os se s r ep o rt ed in

      previous

    inves t iga t ion S

    where the

    loss

    in t ens ion fo r heavy-headed bo l t s and nuts ranged

    be

    tween  

    and

    4

    of the i n i t i a l

    clamping

    fo rce

    Nearly a l l

    of

    the loss occurred within the f i r s t few hours

    a ft er i ns ta ll at io n Also none of the var i a t ions

    of

    hole diameter

    o r the

    presence of s lo t s

    had any s ig n if ic a nt e f fe c t

    on

    the p e rcen t

    loss in ten sio n of

    the

    bo l t s dur ing the

    study period of

    one month.

    The extensometer readings

    indica ted t h a t the ungaged b o l t s behaved

    the

    same

    as

    th e gaged

    bo l t s

    The load c e l l

    s tu die s are

    compared

    with

    the bo l t

    gage

    readings

    in

    Table

    4.

    Since v i r tua l ly a l l of the losses in th e bo l t s

    ins t a l l ed

    in

    the j o in t s occurred within   week a f t e r i n s t a l l a t i on

    the load c e l l

    s tud ie s were

    a lso conducted fo r

    one

    week.. The

    re su l t s

    showed good agr eemen t b etween the b o l t s t r a in measurements and th e

    load

    c e l l The maximum er ro r was

    2-1/2

    of

    the i n i t i a l clamping

    force

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    4.3

    Slip Behavior

    The

    s l ip

    resistance

    of

    a

    bolted

    joint

    is

    a function of i t s

    s l ip

    coeff ic ient and the bol t preload. The

    s l ip

    coeff ic ient ha s been

    defined

    as:

    15

    K = PINT. where K

    is

    the

    sl ip coeff ic ient

    P

    the

    s s s s

    s l ip load N the number

    of

    s l ip

    planes

    and T

    the

    to ta l i n i t i a l clamp

    ing force.

    The

    to ta l

    clamping

    force

    was

    taken

    as

    the

    sum

    of

    a ll

    of the

    bol t tensions measured approximately one minute after

    ins ta l la t ion

    The s l ip coefficients for

    each of the

    joints are

    summarized

    in

    Table

    1.

    Typical load-slip and load- joint

    elongation

    re la t ionships

    are

    shown

    in

    Figs. 14 and 15 .

    The

    load-slip response

    of

    the oversize and slot ted

    hole

    jo ints

    was

    l inear

    unt i l

    the

    load approached

    the re gion

    of

    major

    s l ip

    The

    dia l

    gages that recorded s l ip moved

    very s low ly in

    this region.

    Occasionally there

    would

    be a sl ight

    noise and

    the

    sl ip dials would

    indicate a

    sudden

    movement of about 0.0001

    in . This

    was

    probably

    caused by the extension of the sl ip

    zone

    into the joint h n the

    load

    approached the major

    sl ip

    load

    the dia l

    movement began

    to

    ac-

    celerate and when

    major

    s l ip

    occurred

    there was a

    loud

    noise accom

    panied

    by a

    sudden

    movement  about 0.04 in of

    both

    the sl ip and

    elongation

    dials which caused

    a

    drop

    in the

    tes t ing

    machine

    load.

     

    The in i t i a l

    sl ip

    was never equal to the hole clearance of the joint

    Subsequent loading of the

    bolted

    joint produced small additional

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     25

    s l i p s un t i l the

    j o i n t

    was in bear ing These smal l s l i p s

    seldom

    oc

    curred

    a t

    higher

    loads than

    the

    major

    s l ip

    load

    The

    number

    of

    smal le r s l i p s increased as the hole diameter increased The

    i n i

    t i a l s l ip did

    not br ing

    the j o in t

    in to bear ing because of

    the

    de

    crease in lo ad c au se d by

    the

    s l i p In an a ctu al s tr uc tu re th e load

    might

    remain

    cons tan t and the j o i n t would s l ip i n to bear ing a t th e

    i n i t i a l s l i p

    The

    three

    j o in t s

    of the OHl

    se r i es

    which

    had

    the

    nominal

    hole c learance

    of

    1/16

    in

    served as

    con t ro l

    specimens The average

    s l ip coe f f i c i en t fo r these three j o in t s was 0 29 T his v alu e i s com

    14

    parable

    to

    the average s l ip

    coe f f i c i en t

    of 0 34 obtained by Nester

    from a

    se r ies of bol ted connect ions made

    from

    th e same hea t o f s t ee l

    16

    Tes t s conducted a t

    the

    Univers i ty o f   s h ~ n g t o n on

    A 6

    s t e e l bol ted

    j o in t s yie lded

    comparable

    r e su l t s

    Inves t igat ion of the faying

    sur faces

    of

    the j o i n t s ind ica ted

    tha t

    damage to the

    m il l sca le

    sur face

    was

    confined mostly

    to

    the

    a r ea s

    immediately ad jacen t to

    the

    hole s This i s in

    accordance with

    the

    theory tha t

    the

    areas immediately adjacent to

    the ho les

    of

    a

    bol ted

    j o i n t

    a re the a reas of

    h ig he st c on ta ct

    pressure and

    t he r e fo r e

    provide

    most

    of the s l ip r es i s t ance Figure

    16

    shows

    the m ill sca le surface

    damage near the bo l t

    holes

    The OH

    and

    OR j o in t s with the 1 /4 in hole c learance

    pro

    vided s l ip

    r es i s tance comparable

    to the

    OHl t e s t s

    The average

    s l ip

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    -26-

    coeff ic ient for both

    the

    OH

    and

    OH

    series

    was 0.28. Inspection

    of the

    faying

    surfaces indicated that

    most

    of

    th e s urfa ce

    damage

    occurred around the holes  See Fig. 16 . This also

    showed

    that the

    pressure distr ibut ion in these

    joints

    was

    similar

    to the pressure

    distr ibut ion in the control joints

    damage was more

    severe for

    the

    1/4 in .

    hole clearance joints

    because

    the distance

    of sl ip

    was

    four times as great.

    The

    three

    joints

    of the

    OH4

    series

    which

    had

    hole

    clear

    ances of

    5/16

    in . showed lower sl ip resis tance. The average sl ip

    coeff ic ient for

    these joints was 0.24. Inspection

    of the faying

    surfaces

    af te r tes t ing also

    showed

    that most of the

    surface damage

    occurred

    around the holes. The damage for

    these

    jo ints was

    the

    most

    severe

    of th e oversize-hole joints

    because

    the greatest amount of

    s l ip occurred.

    The three fr ic t ion joints of the SHl group had slot ted holes

    in the

    enclosed

    plates

    placed paral le l to the l ine of load.

    These

    joints also

    showed

    lower s l ip coeff ic ient .

    The

    average sl ip coeff ic ient

    for the series

    was 0.20.

    The

    sl ip behavior of

    three of the

    bearing

    joints  SH2-i,

    SH

    and

    SH3-l

    was different

    from

    that

    of

    the

    res t

    The

    behavior

    of

    these three

    joints

    prior

    to major

    sl ip

    was

    basical ly

    the same

    as

    the

    other joints

    slow

    dia l

    movements with an bccasional sudden move-

    ment of 0.0001 inch.

    When

    major s l ip

    occurred

    there was no loud

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    -27-

    noise or drop

    of

    load. Instead,

    the

    dials began

    to

    move

    very rapidly

    while

    the

    load continued to increase.

    The

    to ta l amount of rapid

    dial

    movement was enough

     0.30-0.50

    in

    to

    be considered a

    major

    s l ip

    Following

    this the joints

    underwent

    a few minor s l ips unt i l the bolts

    went into bearing. The s l ip coeff icients of the

    six b earin g jo in ts of

    groups SH

    and SH

    are also

    summarized

    in Table 1.

    The average s l ip

    coefficients for

    the

    SH

    and

    SH

    series

    were 0.23

    and

    0.21,

    respec

    t ively.

    The

    average s l ip coeff ic ients of a l l

    of the

    j oi nt se ri es

    are

    compared

    in Fig. 17 . I t is apparent that

    th e

    average sl ip co

    ef f ic ien t

    for the

    OH

    and OH series was

    about

    the same as

    the aver

    age

    s l ip

    coeff ic ient of the OHI

    jo in ts

    There was a decrease in the

    s l ip coefficient

    for the OH4

    jo in ts

    This indicates that

    for

      in

    bolts

    there

    is

    no decrease in

    the

    sl ip

    coeff ic ient for holes with

    up

    to 1/4 in . clearance.

    The

    s l ip

    coeff icient

    for a l l

    of

    the s lotted

    holes

    were also lower than the average s l ip

    coeff icient

    of the control

    joints

    A

    possible

    hypothesis

    to

    ex pla in th e reduced

    sl ip resistance

    of

    th e

    OH4 joints  5/16 in . clearance and the s lotted

    hole

    jo in ts is

    based on the theory that the greates t

    con ta ct p r es su r e

    between two

    plates bo lt ed togethe r

    occurs

    immediately adjacent

    to

    the hole.

     

    High

    f r ic t iona l forces that are p ropo rt iona l t o the contact

    pressure

      the

    interlocking

    of the

    stir

    face i r regular i t ies in

    these   r ~

    con

    s t i tu te a

    major port ion of the resistance

    of

    the bolted jo in t

    to

    s l ip

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      28

    Removal

    of

    a large port ion of this area as

    in

    the case

    of

    the OH4

    jo ints

    with

    5/16

    in .

    hole

    clearance

    and

    the

    slot ted

    holes

    causes

    very high

    contact p ressu res

    immediately adjacent

    to

    th e

    hole

    which

    tends to

    f l t ten

    the surface i r regul r i t ies This r ed uces the

    sl ip

    resistance of the joint This reduced

    resistance

    to sl ip should

    be

    taken into

    considerat ion

    in

    the

    design of fr ic t ion type joints

    con

    ta ining

    l ar ge o ve rs iz e

    or slot ted

    holes.

    4.4 Effect of

    Transverse

    Slotted

    Holes on

    the

    Ultimate

    Strength

    of

    the

    Joint

    The three

    joints

    of the SH2 series

    were

    designed to

    f i l

    by tearing of the plates .

    The

    resul t s of these t es t s are summarized

    in

    Table Sa. The

    load joint

    elongation and load specimen

    elongation

    re la t ionship

    of

    jo in t

    SH2 3 is summarized in Fig. 18 .

    In   l l cases th e inter ior s lo tt ed p la te

    failed

    a t the

    f i r s t

    row of slots Fig.  9 shows t he d eforma tion

    in

    the slot ted

    holes of jo in t

    SH2 2

    at f i lure

    The ultimate

    load for   l l three

    specimens was

    r o u ~ y

    11 of

    the

    predicted

    load

    based on the coupon tes ts

    This

    is

    in

    agreement

    with the resul ts of

    e r l ier studies conducted on bolted

      5

    jo ints

    w ith s tand ar d round holes.

    The three

    joints

    of the SH3 series ¥ere

    proportioned

    so

    that

    fai lure

    would

    occur by s he ari ng o f the bol ts . The geometry of the

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      29

    joints was

    based

    on the assumption that minimum strength bol ts were

    to

    be used

    for the t es t s However

    the shear strength of the

    bol ts

    exceeded the plate capacity and joint SH3 l failed

    by a

    tear ing of

    the

    plate.

    A new lo t of bolts

    specified

    to be

    of

    minimum strength

    was ordered. The bolts were tested

    in

    shear

    j igs

    with

    both s lotted

    and round

    holes.

    The average shear strength of the bolts in the

    slot ted

    hole

    shear

    j igs

    was

    84.3

    ksi

    while the shear

    strength in

    the

    round hole

    was 81.3 ksi . This was

    caused

    by a

    ballooning

    of th e

    plate as the bol t shearing caused deformation on the f la t

    port ion

    of the s lot as shown in Fig.

    20.

    T hi s cau sed a shif t ing of

    the

    shear

    p la ne w ith

    a resul tant

    increase in the shear area of

    the

    bolt

    shank.

    The

    t es t s

    of

    jo in ts

    with these

    bol ts

    are

    summarized

    in

    Table

    5b .

    The deformation of a

    bol t

    and

    the

    plates of jo in t SH3

    are shown in Fig. 21.

    In

    both

    cases fai lure

    occurred

    when the head

    end

    of one

    of the two

    top bol ts sheared

    off .

    The

    average bol t

    shear

    s tress a t ultimate

    was

    about

     

    lower in both joints than

    was

    predicted

    from

    the

    s lotted

    hole shear

    j ig t es t s The sawed

    sect ion

    of jo in t SH3 shown in Fig.   shows

    the

    deformation

    of the bolts and of t he e nclo se d plate

    t ca n

    thus

    be concluded that

    slot ted holes in

    the

    enclosed

    plates of

    a

    bolted joint

    do

    not reduce the ult imate strength of

    ei ther

    the

    plates or the

    bolts

    in shear.

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      30

    SU RY

    On the basis of this

    study

    the following conclus ions

    have

    been

    reached:

    1. One in.A325 b ol ts i ns ta ll ed by the

    turn of nut

    method

    in holes

    with

      1/4 in .

    clearance

    ach ieved ave rage p re10 ad s

    2

    above

    the

    required bolt tension. Washers

    under

    the

    turned

    element

    are

    recommended to p revent s ev er e gall ing.

    Bolts in sta lle d in h ole s w ith  

    5/16

    in . clearance re-

    quired.washers

    under

    both the head and the turned element

    to

    achieve

    pre

    loads

    in

    excess of the required bol t tension.

    2. Oversize

    or

    slotted holes do no t great ly affect

    the

    losses

    in

    bol t

    tension

    with time following

    ins t l l t ion Virtual ly

      l l of the losses

    occurred

    within one week   fter

    ins t l l t ion

    he loss in

    tension

    w s

    about

    8 of the in i t i l preload.

    3.  he s l ip

    behavior of

    joints

    with

    oversize

    or slotted

    holes

    w s sim ilar to

    the s l ip b eh av ior o f joints

    with

    holes of nom-

    inal size. There w s

    series

    of small s l ips b efo re the jo int

    went into bearing.  he number of small slips

    increased

    as the

    d istan ce o f s l ip

    increased.

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     31

    4 he

    average s l ip

    coeff ic ient

    for the joints

    with

    1/4

    in

    hole

    clearance

    w s

    about

    the

    s me

    as

    the

    s l ip

    coefficient

    for the control

    joints he

    joints

    with

    5/16 in clearance

    holes

    showed 7

    decrease

    in

    th e

    s l ip

    coeff ic ient

    he

    s l ip coeff ic ient

    for

    s lot ted

    hole

    jo in ts

    showed

    22

    to 33 decrease when

    compared to normal

    t e s t

    specimens

    5 Changes

    in

    bol t

    tension

    during

    tes t ing

    were

    no t great ly

    affected

    by oversize

    holes

    or

    s lo ts in

    the

    enclosed pl tes

    All changes in

    bol t tension

    at major s l ip

    were

    w ith in the

    previously observed range for change in

    tension

    at s l ip

    6 Slotted

    holes placed perpendicular

    to

    the l ine of load in

    the

    enclosed plates of  

    bolted

    jo in t did

    not re du ce

    the

    tensi le strength of

    the plates or the shear

    strength of

    the bol ts

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      T LES  N FIGURES

     3

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    Test

    Results

    TABLE 1

    Slip

    Behavior

    of All

    Joints

    -33-

    Joint

    Hole

    Average

     ni t i l

     ni t i l

    Slip

    Diam

    Bolt Bolt

    Slip Coefficient

    Elongation

    Tension

    Load

    OH1 1 1-1/16 .0213

    551.6 314.5

    0.285

    OHl 2

    1-1/16

    .0227

    558.0

    327.5

    0.293

    OHl 3

    1-1/16

    .0227

    570.4

    322.5

    0.283

    Average

    0.287

    OH2 1

    1-1/4

    .0178

    522.8

    274.5 0.263

    OH2 2

    1-1/4 .0119

    422.0 242.5

    0.290

    OH2 3

    1-1/4 .0132

    474.5

    295.0

    0.312

    Average

    0.282

    OH3

    1-1/4 0143 495.2

    286.5

    0.290

    OH3 2

    1-1/4 .0139 482.5

    267.0 0.277

    OH3 3

    1-1/4 .0135

    473.5

    260.0

    0.274

    Average

    0.280

    OH4 1

    1-5/16

    .0151

    502.6

    265.0

    0.264

    OH4 2

    1-5/16

    .0173 531.2

    253.5

    0.238

    OH4 3

    1-5/16

    .0174 533.1 236.0

    0.222

    Average

    0.245

    SH1 1

    Slotted

    .0154

    504.0

    185.5

    0.184

    SHl 2

     Parallel

    .0162 524.1

    199.0 0.190

    SHl 3 to

    l ine .0191 549.5 237.0 0.215

    of

    load)

    Average

    0.196

    SH2 1

    Slotted

    .0223

    573.9

    248

    0.237

     

    SH2 2

     Perpen-

    .0230

    574.5

    220

    0 192

    SH2 3

    dicu1ar

    .0161

    525.7 262.5

    0.250

    to

    l ine

    of

    load)

    Average

    0.226

    SH3 1

    Slotted

    .0223

    568.5

    225

    0.200

    SH3 2

     Perpen-

    .0232

    475.4

    210

    0.221

    SH3 3

    dicular

    .0250 480.2 214 0.223

    to

    l ine

    Average

    of

    load)

    0.215

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    TABLE 2

    Allowable

    Hole Clearance for Different Hole Sizes

    Bolt Proof

    Min

    Flat

    Max

    Hole Area

    =

    Max

    Hole

    Amount

    Bearing

    Size

    Load

    Area

    Area /

    e

    Flat Area Min.

    Area

    Diam

    Clearance

    Pressure

    1/2

    12

    .200 .601

    0.401

    11/16

    3/16 62.6

    5/8

    19

    .315  887

    0.570 13/16

    3/16 62.0

     

    3/ 4

    28

    .465

    1.227

    0.761 15/16

    3/16

    62.5

    7/8

    39 .647

    1.623

    0.973

    1 1/16

    3/16

    62.9

    1

    51 .846 2.074

    1.224

    1 1/4

    1/4

    72.0

    1 1/8

    56

    .930

    2.580 1.646

    1 7/16 5/16

    70.3

    1 1/4

    71

    1.180 3.142 1.962

    1 9/16

    5/16

    69.5

    1 3/8

    85

    1.410 3.758 2.340 1 11/16

    11

    5/16

    67.0

    1 1/2 103

    1.

    71

    4.430

    2.713 1 13/16

    5/16

    66.9

     

    The

    area of

    a

    ci rcle with

    a

    d iameter equal to t he w id th across th e

    f l ts

    I

    W

     -

    I

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     l;ABLE

    3

    Loss in Tension of Bolts I nst alle d in Joints

     35

    Joint

    Average

    Loss

    in Bolt Tension  

    1 Min.

    5 Mins.

    1

    Hr

    1

    Day

    1

    Week

    4 Weeks

    OH1 1

    1.21

    1.69

    3.10

    4 121

    4 2Si

    5 52  

    OHl 2

    1.33

    1

    7 io 2 16i

    66io

    3 Si

    5 3 i

    OH2 1

    1

    6 io

    2 43i

    3.00 4.22

    4.6S

    6 lSi

    OH4 1

    3.1S

    3 34i

    3.347.

    3 34i 3 34

    i

    3.34

    SHl 2

    4.4S

    4.90

    5.07

    5.45 5.5S7.

    6.94

    SH2 3

    3 34

    i

    4 3i

    4.52

    4.52

    4.527.

    5.72

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    T LE

    4

    R esults o f

    th e

    Load

    Cell Studies on Single Bolts

    -36-

    Hole

     ni t i l

    Loss

    in

    Tension,

    Kips

    Clearance

    Bolt

    in.

    Tension,

      Min 5 Min

    Hr.

      Day   Week

    Kips

    Bolt

    Cell

    Bolt Cell

    Bolt

    Cell Bolt

    Cell

    Bolt Cell

    1/16 in .  Std

    60.0

    1.0

    0.6

    1.3

    1.4

    1.3

    1.9

    1.3

    2.5

    1.3

    2.6

    1/4 in .

    59.5

    0.8

    0.4

    1.3 0.9

    1.6

    1.3

    2.0

    1.4

    2.3

    1.4

    5/16

    in .

    60.7

    0.7

    0.2

    1.1

    0.4

    1.5 0.6

    1.5

    0.8

    1.5 0.9

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    T LE

    5

    Test Results

     

    Bearing

    Joints

    a

    Plate Failure Tests

     37

    Joint

    Net

    Plate

    Ultimate

    Ultimate

    Coupon

    Area

    Load Tensile

    Stress

    Ultimate

    Tensile Stress

    in

    2

    Kips

    Ksi

    SH2 l

    12 46 820

    65 9

    61 6

    SH2 2

    12 42

    854

    68 6

    62 5

    SH2 3

    12 42

    852

    68 5

    62 0

    10

    SH3 l

    17 37

    1104

    63 6

    61 6

    b

    Bolt

    Failure

    Tests

    Joint

    Net Bolt

    Ultimate

    Apparent

    Shear J ig

    Shear

    Area

    Load Avg

    Ultimate

    Ultimate

    Shear

     :>tress

    Shear Stress

    in

    2

    Kips

    Ksi

    Ksi

    SH3 2

    12 56

    1000

    79 6

    83 8

    SH3 3

    12 56

    1006

    80 0

    83 8

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    4

    Required

    Bolt

    Tensfon

    3

    ONE

    MINUTE

    BOLT  

    LOAD

    KIPS

    1

    38

    Washer

    Under Nut

    o

    No

    Washer

    Ot L.. O

    L.. O _

    13

    16

    13

    16

     

    3

    II I

     

    HOLE DIAMETERS

      Reg semi   fin. hex head

    3

    11

    bolts

    and heavy nuts

    FIG 1 Effect of Hole Size

    mn

    Bolt

    Tension Induced

    by

    Turn of Nut

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    I

    W

    I

    -t

    -+

    4

    ' ;='

    I

    -

    f 4

    I

     

    I

     

    I

    2

     

    ..

     

    I

     

    l

    w

    4

      39

    w

    4 =

    -

    4

     

    :

    l

      :

    I

     

    1

      I

    I

    I

    I :

    I

    I

    :

    I

    I

    I

    I

    ......

    i I :

    I

    l l

    :

    I

    I

    I

    I

    ----

    I A325 Bolts

    I A 36

     

    SERIES

    NO

    HOLE

    WIDTH

    TESTED

    DIA.

     

    W

    II

    OHI 3

    6 40

     

    OH2

    3

    6 78

    OH3

    3

    I

    6 78

    OH4

    3

    1 5 ~ 6

    6 65

    FIG. 2. Oversize/Hole  rest Specimens

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     40

    I

    I:

     

    I

     

    I....

     

    ....

      -

    I

    0

    I

    v

    -

     

    -

     

    I   J .... J

    I

      A 6 It

     

    A 5

    Bolts

    3 @ 5

    4 =1 -3

    3

    /4

    I

     

    I :

    I :

    l I

    II I

    I

    I

    jo..

    I I

    I

     

    l : I

    : I

     

    :

    : I

     

    I

    I

    I

    I ~

    Detail of Slot

    Series SH I

    FIG 3 Test Specimens

    - Slotted Holes   r lle l to the

    Line of

    Load

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     4 1

    w

     

    W

    2

    t

     

    W

     

    4

     

    3

    a

    5  

    4

    II = 1

    1

      3

    3

    4 II

    -I

     

    l :

    i

    I

    : I I

     

    :

    I I I

    : I

     

    :

    i

     

    i

     

    I

    i

    I I I

      A 5 Bolts

    SERIES

    NO WIDTH

    An As

    TESTED

     

    W

    II

    SH 3

    11 42

    1 00

    SH

    3 13 68

    1 36

    FIG 4 Test Specimens   Slotted

    Holes

    Perpendicular

    to

    the Line of Load

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     42

    III A325 Bolt

     

    11

    6

    BOLT

    TENSION,

    KIPS

     

    2

    1   2 0

    ELONGATION IN

    0.001 0.002   3

    STRAIN GAGE READING lN/IN

    FIG. 5

    Calibration of

    Gaged

    Bolts

    e 9

     

    1

    Go ad

    Bolt

    FIG. 6 Location of Gaged

    Bolts in Joint

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      IG

    olt in  oad

     ell

     4

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     44

    8

    6

    Required

    Preload·

    Maximum Bolt Tension

    Mean Bolt Tension

    Minimum Bolt Tension

    4

    BOLT

    TENSION

    KIPS

     

    OH4

    SHI SH SH3

    5 16

     

    Parallel Transverse

    Slots

    Slots

    None

     one one

    in 3 joints

    OH3OH2

    OHI

      - - - - ' - - - - ' -_ . . . . I . . . - - - -L. . ._ . - - . . . . I . . . - - - - - 'L. . . . - . - - - - ' - - - - - ' ' ' - - - - -L. . . - - -L_. . . . I . . . - - - I - 

    Series

    Hole

    Clearance

    Washers None  one  ne Two

     Each

    bar

    represents

      bolts

    FIG The Range of

    Bolt

    Tensions

    for

    a l l Jo in ts Tested

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    -45-

      IG

    a

    Galling of

    Plate

    Under Turned Element   Joint OHl-2

      IG 9 b

    Depression

    Under

    Bolt

    Head

    Joint OHl-2

     1/16-in.

    Clearance

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     46

    FIG 10 a Depression

    Under

    Bolt

    Head

    Joint

    OH2

    FIG b

    Severe Galling of

    Plate Under

    Turned Element

     

    Joint

    OH2

    1/4-in. Clearance, No

    Washer

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      IG

    7

    Plate

    Area Under

    Turned Element

    Where a Washer

      s

    Used Join t OH3

    1/4-in. Clearance

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     48

    FIG

    epression Under

     olt Head

    Join t

    OH4

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     49

    6

    6

    BOLT

    TENSION

    KIPS

     

    I

    Min

    Min I

    Hr

    LOG

    TIME

    I

    Day

     

    I

    Wk Wk 4Wk

    FIG

    Time Tension

    Relationship

    of Bolt

    XB 9

    in Joint

    OHl

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    JOINT

    LOAD,

    KIPS

    300

    200

    100

      r r

    Slip

     50

    d

    300

    0 02 0 04

    0 06

    JOINT SLIP IN

    0 08

    0 10

    JOINT

    LOAD,

    KIPS

    200

    100

    J

    r

     

    26

    1

     

    J

    ,

    o

    0 02 0 04 0 06

    JOINT ELONGATION IN

    0 08

    0 10

      Join t

    Slip

    and

    Elongation

    of

    Joint OH4 3

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    25

    2

    _[Ini t io I

    Slip

    LOAD

     

    r

    r

     [

    IPS

    15

    5

    1

      2 3

      4

      5

      6

      7

    SLIP

     

    IN H S

    I

    V

    FIG

    Load Slip Diagram of Joint

    SH1 l

    t

    I

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    -52-

    FIG.  

    Faying

    Surface Damage of

    O

    Join t

     1/4- in . Clearance

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     53 ·

    o Results of

    Tests

      Nester

    • Results of OHI Series Tests

    • Results of

    Oversize and

    Slotted

    Hole Tests

      4

      3

      2

    ~ e r a g e of 6 Joints

    K V e r ag e

    of   O Joints

     

    0.1

     

    Il _

    Oversize Holes

    Slotted Holes

    Series

    Hole

    Clearance

    OHI

    I/

    16

    OH2 OH3

    OH SHI

    516 Parallel

    Slots

    SH SH3

    Perpendicular

    Slots

    FIG

    Comparison

    of

    Average

    S l ip oe ff ic ie n ts

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     54

    700

     

    600

    500

    JOINT

     

    LOAD

    400

     

    KIPS

     

    6 ~ 4

    300

     

    Joint SH2-3

     

    200

    100

    0 1 0 2 0.3

    0.4

    700

    600

    500

    JOINT

    400

    LOAD

    KIPS

    300

    200

    Joint SH2-3

    100

     

    46

     

    Q

     

    o

    0 1 0 2 0.3

    ELONGATION  IN

    0.4

    FIG

    18

    Load Jo in t Elonga tion

    and Load Specimen

    Elongation

    of Joint SH2 3

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    FIG

    e fo rmat ion o f Slotted  oles

     55

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    t

     

    ....

    / / ~

    -

    I

     

    r T

    /

     

    1

    ound ole

     5 6

    t

     

    h

    1

     

    7 / /

     / / / 7

    .

     

    Slotted ole

    FIG

    20 Comparison of Bolt and Plate Deformations

    FIG

    21 Deformed Plates

    Bolt

    in Sawed

    Section of

    Joint SH3 2

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      7

    FIG

    Sawed   ection

    of

     oint SH3

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    -58-

    7. REFERENCES

    1. Research Council

    on Riveted and Bolted Structural

    Joints of

    th e Engineering

    Foundation.  

    SPECIFICATIONS FOR STRUCTURAL JOINTS USING ASTM A325

    OR

    A490

    BOLTS, September, 1966

    2.

     OUT

    OF

    PLUMB

    TILT STRAIGHTENS

    BANK

    Engineering News

    Record,

    Vol. 178,

    No.9 ,

    March

    2,

    1967,

    pp. 33-35

    3. Wilson, W M., and Thomas, F. P.

     FATIGUE TESTS ON RIVETED JOINTS , Bulletin

    No.

    302,

    University of I l l inois Engineering Experiment Station,

    1938

    4. Hoyer, W.

    UBER GLEITFESTE

    SCHRAUBENVERBINDUNGEN

     3 . BERICHT)

    HOCHFESTE SCHRAUBEN MIT VERSCHIEDENEM

    LOCHSPIEL

     ON

    SLIDE

    PROOF

    BOLTED CONNECTIONS  3RD.

    REPORT) HIGH-STRENGTH

    BOLTS WITH

    DIFFERENT

    HOLE CLEARANCE), WISSENCHAFFLICHE

    ZEITSCHRIFT

    DER HOCHSCHULE

    FUR

    B UWESEN

    COTTBUS,

    3,

     1959-1960 , Heft 1,

    pp.

    49-53

    5.

    Chesson, E., Jr and Munse, W.

    H.

    STUDIES ON

    THE BEHAVIOR

    OF HIGH-STRENGTH

    BOLTS

      ND

    BOLTED

    JOINTS, Bulletin No. 469, Vol. 62, No. 26, Univers ity of

    Ill inois

    Engineering Experiment Station, University of

    I l l inois,

    Urbana,

    I l l inois,

    October, 1964

    6. Steinhardt, 0 and Mohler, K.

    VERSUCHE

    ZUR   NWENDUNG VORGE

    SPANNTER SCHRAUBEN

    1M

    STAHLBAU,

    I

    TElL  TESTS ON THE APPLICATION OF HIGH-STRENGTH BOLTS

    IN

    STEEL CONSTURCTION,)

    Part

    1,

    Berichte

    des Deutschen

    Ausschusses

    for Shahlbau, Stahlbau-Verlags, GmbH, Cologne, 1954 Heft

      r 18.

    7. Aurnhammer, G.

    HV-VERBINDUNGEN. UBERLEGUNGEN, BETRACHTUNGEN,

    VERSUCHE

     HIGH-STRENGTH

    BOLTED

    JOINTS, THOUGHTS, OBSERVATIONS, TESTS).

    Preliminary Publication,

    Seventh Congress,

    IABSE,

    Rio de

    Janeiro, 1964,

    pp.

    415-430

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    -59-

    8. Steinhardt,. O.

    THE GERM N CONTRIBUTION TO RESEARCH JUBILLEE SYMPOSIUM

    ON HIGH STRENGTH BOLTS

    The

    Insti tution

    of

    Structural

    Engineers, London

    June,

    1959 pp. 2-9

    9.

    Denkhaus

    H.

    G.

    STRENGTH

    OF

    WASHERS The National Mechanical Engineering

    Research Insti tute,

    CSIR

    Contract No.

    CN378

    Council

    for

    Scientific and Industrial Research, Pretoria, South Africa,

    February, 1961

    10.

    Tajima,

    J.

    EFFECT OF RELAXATION  N CREEP ON

    THE

    SLIP LO OF

    THE

    HIGH-

    STRENGTH BOLTED JOINTS Structural

    Design Office, Japanese

    National Railways,

    Tokyo

    June,

    1964

    11. Waltermire, W. G.

    EVALUATING FASTENER  N JOINT PERFORMANCE WITH A LO ANALYZER

    Assembly and

    Fastener

    Engineering,

    January

    1962

    pp . 33-35

    12.

    Stevin Laboratory

    DECREASE

    OF

    THE PRE LOAD IN HIGH STRENGTH BOLTS IN

    THE

    COURSE

    OF

    TIME  Provisional Results ,

    Department

    of Civil Engineering,

    Delft, The

    Netherlands,

    1965 C.E.A.C.M. X-65-l3

    13.

    Wallaert,

    J. J Sterl ing,

    G.

    H.,

    and

    Fisher,

    J. W.

    WH T HAPPENS TO BOLT TENSION

    IN

    LARGE

    JOINTS?

    Fasteners,

    Vol. 20

    No.3 ,

    1965 pp. 8-10

    14. Nester, E. E.

    INFLUENCE OF

    VARIATION

    OF THE CONTACT AREA UPON THE SLIP RE-

    SISTANCE

    OF A BOLTED JOINT M. S. Thesis, Fritz Engineering

    Laboratory Report No. 318.1, July, 1966

    15. Foreman R. T., and Rumpf

    J.

    L.

    STATIC TENSION TESTS OF

    COMPACT

    BOLTED JOINTS Journ al o f

    th e Structural Division, ASCE Vol. 86, No. ST6 Proc.

    Paper

    2523

    June,

    1960

    16. Chiang, K. C., and Vasarhelyi,

    D.

    D.

    THE

    COEFFICIENT

    OF

    FRICTION IN

    BOLTED JOINTS

    M E

    WITH

    VARIOUS

    STEELS

     N WITH MULTIPLE CONTACT

    SURFACES

    University of

    Washington,

    Seatt le, 1964

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      60

    17.

    Upton K

    A.

    n Cullimore M G

    THE DISTRIBUTION OF

    PRESSURE

    BETWEEN  W FLAT PLATES· BOLTED

    TOGETHER

    International

    Journal

    of

    Mechanical

    Sciences

    Vol.

    6 No.1

    Feb. 1964 pp. 13 27