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    13. BOLTED JOINTS

    The calculation methods used for bolted joints

    between, or to, hollow sections are basically not

    different from those used for any other type of joint in

    conventional steel construction.

    Most details given in this chapter are presented

    without (detailed) design formulae.

    13.1FLANGE PLATE JOINTS

    13.1.1 Flange plate joints to CHS underaxial tension load

    For the flange plate joints shown in Fig. 13.1, various

    investigations were carried out (Kato & Hirose, 1984;Igarashi et al., 1985; Cao & Packer, 1997).

    Economical joints under tension load can be obtained

    if prying force is permitted at the ultimate limit state,

    with the connection proportioned on the basis of a

    yielding failure mechanism of the flange plates. In

    CIDECT Design Guide No. 1 (Wardenier et al., 2008a)

    formulae and tables are given, based on the work of

    Igarashi et al. (1985). In the context of this book, only

    the failure modes are presented (Fig. 13.2). It is

    preferable to design primary structural joints on the

    basis of the yield resistance of the circular hollow

    section.

    13.1.2 Flange plate joints to RHS underaxial tension load

    Research by Birkemoe & Packer (1986) and Packer et

    al. (1989) on bolted RHS flange plate joints with bolts

    on two sides of the RHS only, see Fig. 13.3, showed

    that in principle the strength of these joints can be

    analysed on the basis of the traditional prying model

    developed for T-stubs by Struik & De Back (1969).

    The location of the plastic hinge lines may be adjusted

    for greater accuracy, i.e. the distance b in Fig. 13.4 is

    adjusted to b' according to:

    it2

    db'b (13.1)

    Detailed formulae are given by Packer & Henderson

    (1997) and Packer et al. (2009a).

    Many tests have been carried out on RHS flange plate

    joints with bolts on 4 sides of the RHS, as shown inFig. 13.3. A thorough study of this type of bolted joint

    has been undertaken by Willibald et al. (2002, 2003a).

    It was revealed that RHS flange plate joints bolted on

    all four sides could still be proportioned on the basis of

    the two-dimensional T-stub prying model of Struik &

    De Back (1969), with some minor modifications.

    Following the procedure for bolted RHS flange plate

    joints with bolts on two sides, the inner yield lines in

    the flange plate can now be expected adjacent to the

    RHS outer face and hence the term t i should be

    deleted from eq. (13.1). The bolt pitch to be used is

    the minimum of p from both sides. The dimension p,

    the plate width or depth divided by the number of bolts

    in that direction, is illustrated in Fig. 13.3. This

    "minimum p" value is then used in the joint analysis

    based of a two-dimensional prying model. In order for

    this design model to be valid, the centres of the bolt

    holes should not be positioned beyond the corners of

    the RHS (as illustrated in Fig. 13.3).

    Detailed information can be found in CIDECT Design

    Guide No. 3 (Packer et al., 2009a).

    13.1.3 Flange plate joints to CHS or RHSunder axial tension load andmoment loading

    Design methods for bolted flange plate joints to date

    have generally been developed for axial tension

    loading. Frequently, however, hollow sections are

    subjected to both axial tension load (Ni) and bendingmoment (Mi). In such cases, a hypothetical "effective"

    axial load can be computed (Kurobane et al., 2004)

    for use with the flange plate joint design procedures

    given in Sections 13.1.1 and 13.1.2:

    i

    i

    i

    i

    i AW

    M

    A

    NaxialEffective

    (13.2)

    where:

    Ai cross sectional area of the CHS or RHS

    Wi elastic (or plastic) section modulus of the CHS orRHS

    This procedure will be conservative, especially for

    CHS, as it computes the maximum tensile normal

    stress in the CHS or RHS and then applies this to the

    whole member cross section.

    13.2 END JOINTS

    Some bolted end joints are shown in Fig. 13.5. The

    flange of the tee in Fig. 13.5d, as well as the otherflange plates perpendicular to the CHS or RHS

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    section, must be sufficiently thick to effectively

    distribute the load to the cross section (Wardenier et

    al., 2008a; Packer et al., 2009a), see also Section

    9.7.3.

    13.3 GUSSET PLATE JOINTS

    For bolted gusset plate joints, the design can be

    based on the various possible failure modes, e.g. for a

    tension member:

    - Yielding of the cross section

    - Rupture of the net area

    - Rupture of the effective net area reduced for shear

    lag

    Similar to other bolted joints, the total net area is the

    sum of individual net areas along a potential critical

    section of a member or gusset plate, see Fig. 13.6. If

    such a critical section comprises net areas loaded in

    tension and segments loaded in shear, the shear

    segments should be multiplied by the shear strength

    and the tension areas by the ultimate strength.

    Eurocode 3 (EN 1993-1-1, 2005) specifies a Mfactor

    of 1,0 for yielding and 1,25 for ultimate strength

    (rupture).

    A failure mode of the gusset plate which also must be

    checked is yielding across an effective dispersion

    width of the plate, which can be calculated using theWhitmore (1952) effective width concept illustrated in

    Fig. 13.7. For this failure mode (for one gusset plate),

    the strength is given by:

    M

    o

    pyp

    1p)30(tan2gtfN

    Rd,i (13.3)

    where the term p represents the sum of the boltpitches in a bolted connection or the length of the

    weld in a welded connection, and M=1,1.

    If the member is in compression, buckling of the

    gusset plate must also be prevented.

    Fig. 13.8 shows some examples of bolted gusset plate

    joints. It must be borne in mind that fitting of these

    connections is very sensitive with regard to

    dimensional tolerances and to deformations of the

    welded gusset due to weld-induced distortions. Thus,

    care has to be taken to ensure fitting at site.

    When a member is connected by some, but not all

    parts of its cross section elements and if the netsection includes elements which are not connected,

    the net area perpendicular to the load has to be

    multiplied by a shear lag factor which depends on the

    shape of the section, the number of connected faces

    and the number of transverse rows of fasteners.

    Such a case is illustrated in Fig. 13.8b where bolting

    plates are welded to the sides of the RHS brace

    member. For welds parallel to the direction of load (as

    the four flare groove welds would be in Fig. 13.8b,

    along the four corners of the RHS), the shear lag

    factor is a function of the weld lengths and the

    distance between them. For the RHS, the shear lag

    reduction factors can be applied to each of the four

    sides (two of width w = bi- ti, and two of width w = h i-

    ti), to produce a total effective net area of the RHS

    reduced by shear lag. Suggested shear lag reduction

    factors for these four element areas, in terms of the

    weld length Lw, are (CSA, 2009):

    - 1,00 when the weld Iengths (Lw) along the RHS

    corners are 2bi(or 2hi as applicable)- (0,5 + 0,25Lw/bi) when the weld lengths along the

    RHS corners are biLw< 2bi, or- (0,5 + 0,25Lw/hi) when the weld lengths along the

    RHS corners are hiLw< 2hi- 0,75Lw/bi when the weld lengths along the RHS

    corners are Lw< bi(or hi as applicable)

    13.4 SPLICE JOINTS

    Fig. 13.9 shows a splice joint for circular hollowsections. This type of connection can, for example, be

    executed with four, six or eight strips welded

    longitudinally on the periphery of the hollow sections

    and connected by double lap plates, one on each

    side.

    Lightly loaded splice joints in tension can be made as

    shown in Fig. 13.10 and for architectural appearance

    the bolts can be hidden. Using one plate on each side,

    instead of the solution in Fig. 13.10, provides a more

    fabrication-friendly solution. Such an eccentric joint,

    however, may have little stiffness and resistance toout-of-plane flexure under compression loading, thus

    the designer should be confident that such a condition

    has been considered. Experimental and numerical

    research on this RHS joint type, under tension loading,

    has been conducted by Willibald et al. (2003b).

    13.5 BEAM-TO-COLUMN JOINTS

    Bolted beam-to-column joints can be designed in

    various ways, mainly depending on the type of load

    that has to be transmitted. In general, shear joints aresimpler to fabricate than moment joints. Typical joints

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    are given in Figs. 13.11 to 13.15 without detailed

    description.

    13.6 BRACKET JOINTS

    Some typical joints for lightly loaded beams are shownin Fig. 13.16.

    13.7 BOLTED SUBASSEMBLIES

    Lattice structures are often connected to columns by

    bolted flanges, plates or Tee profiles. Some examples

    are shown in Fig. 13.17.

    13.8 PURLIN JOINTS

    Fig. 13.18 shows some examples of purlin joints for

    trusses with CHS or RHS chords.

    13.9 BLIND BOLTING SYSTEMS

    Due to the closed nature of hollow sections, in many

    cases additional welded plates are used for bolted

    joints. However, solutions are then not aesthetically

    appealing. Nowadays, bolting systems are available

    which can be used when only one side of the

    connection is accessible. Blind bolting systems make

    use of either special types of bolts or inserts or special

    drilling systems.

    13.9.1 Systems using bolts and inserts

    Special types of bolts and systems allow one to bolt

    from one side of a hollow section. A number of

    patented blind bolting systems is available, e.g. Huck

    "Ultra Twist Blind Bolt" and Lindapter "HolloFast" and

    "HolloBolt". The latter, which uses a special insert and

    a standard bolt, has been investigated by CIDECT

    (Sidercad & British Steel, 1996; Yeomans, 1998) with

    regard to its axial, shear and bending capacity (see

    Fig. 13.19).

    The systems are based on the principle that after

    bringing them in from one side, the bolts are torqued

    and a "bolt head" forms on the inside of the connected

    plies.

    The design rules for blind bolting systems are based

    on typical failure modes, i.e.- Punching shear of the fastener through the column

    face

    - Yielding of the column face (yield line pattern

    around the bolts)

    - Bolt failure in shear, tension or a combination of

    both

    13.9.2 Drilling system

    The Flowdrill system, see Fig. 13.20, is a special

    patented method for extruded holes. CIDECT has

    carried out research (Yeomans, 1994; British Steel,

    1996) to assess the load bearing capacity of this type

    of joint in structural hollow sections.

    Flowdrilling is a thermal drilling process (Fig. 13.21) to

    make a hole through the wall of a hollow section by

    bringing a tungsten carbide bit into contact with the

    hollow section wall and generating sufficient heat by

    friction to soften the steel. As the bit moves through

    the wall, the metal flows to form an internal bush. In

    the next step, the bush is threaded using a roll tap.

    Conventional bolts are then used in this tapped hole.

    Bolting to hollow sections with wall thicknesses up to

    12,5 mm can be recommended by using the Flowdrill

    method, see Yeomans (1994).

    13.10 NAILED JOINTS

    As an alternative to bolting or welding, steel circular

    hollow sections can be nailed together to form reliable

    structural joints. Up to now, this method of connection

    has only been verified for splice joints between two

    co-axial tubes (see Fig. 13.22). In such a joint, one

    tube can fit snugly inside the other, in such a way that

    the outside diameter of the smaller equals the inside

    diameter of the larger. Nails are then shot fired and

    driven through the two wall thicknesses and arranged

    symmetrically around the tube perimeter.

    As an alternative, two tubes of the same outsidediameter can be joined by means of a tubular collar

    over both tube ends; in this case nails are again

    inserted by driving them through the two tube walls.

    Research to date has covered a range of tube sizes

    with various diameter-to-thickness ratios, tube wall

    thickness and lack of fit (Packer, 1996). The observed

    failure modes were nail shear failure, tube bearing

    failure, and net section fracture of the tube. These

    failure modes have been identified for both static and

    fatigue loading. Simple design formulae, derived from

    bolted and riveted joints, have been verified for boththese load cases.

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    Fig. 13.1 Bolted CHS flange plate joint

    Fig. 13.2 Failure modes for bolted CHS flange plate joints

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    p p p

    p

    p

    p p p

    p

    p

    Fig. 13.3 Bolted RHS flange plate joints

    Fig. 13.4 RHS flange plate joint with bolts at two sides of the RHS

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    Fig. 13.5 Bolted end joints

    Bolt hole diameter d

    Shear segmentsInclined segments

    Tension segment Bolt hole diameter d

    Shear segmentsInclined segments

    Tension segment

    Total net area for critical section A-A is the sum of the individual segments:

    For tension segment : An= (g1- d/2)t

    For shear segment : Agv= L t

    For each inclined segment : An= (g2- d)t + (s2/4g2)t

    Fig. 13.6 Calculation of total net area for a gusset plate

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    ,,

    Fig. 13.7 Whitmore criterion for gusset plate yielding

    Fig. 13.8 Some examples of bolted gusset plate joints

    Fig. 13.9 Bolted splice joint for CHS

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    Fig. 13.10 Hidden bolted splice joint

    IPE or HE cut offIPE or HE cut off

    Fig. 13.11 I section beam-to-CHS column joints

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    a b

    c d

    e fFig. 13.12 I section beam-to-RHS column simple shear joints

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    a b

    c d

    Fig. 13.13 Moment joints between open section beams and CHS or RHS columns

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    Fig. 13.14 RHS sections connected to I section columns

    Fig. 13.15 Knee joint assemblies for portal frames

    Fig. 13.16 Bracket joints

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    a b

    c d

    e f

    Fig. 13.17 Bolted joints for lattice girder supports

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    a b

    c d

    e f

    Fig. 13.18 Purlin joints

    Fig. 13.19 Lindapter "HolloFast" connection

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    Fig. 13.20 Flowdrill connection for joining end plates or angles to RHS

    Fig. 13.21 Flowdrill process

    Fig. 13.22 Nailed CHS joint

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