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OTC 17236

The New API RP 2A, 22nd Edition Tubular Joint Design Practice
D.I. Karsan, Paragon Engineering Services Inc., P.W. Marshall, MHP Systems Engineering, D.A. Pecknold, U. of Illinois at
Urbana – Campaign, W.C. Mohr, EWI, J. Bucknell, MSL Services Corporation

Copyright 2005, Offshore Technology Conference
                                                                                                RP 2A in 1969. In the 3rd edition of API RP2A, issued in
                                                                                                1972, some simple recommendations were introduced based
This paper was prepared for presentation at the 2005 Offshore Technology Conference held in
Houston, TX, U.S.A., 2–5 May 2005.                                                              on punching shear principles (Marshall, 1974). In the 4th
This paper was selected for presentation by an OTC Program Committee following review of
                                                                                                Edition, factors were introduced to allow for the presence of
information contained in a proposal submitted by the author(s). Contents of the paper, as       load in the chord and the brace-to-chord diameter ratio (Beta =
presented, have not been reviewed by the Offshore Technology Conference and are subject to
correction by the author(s). The material, as presented, does not necessarily reflect any       β). In the 9th edition, issued in 1977, differentiation was
position of the Offshore Technology Conference, its officers, or members. Papers presented at
OTC are subject to publication review by Sponsor Society Committees of the Offshore             introduced in the allowable stress formulations for the joint
Technology Conference. Electronic reproduction, distribution, or storage of any part of this
paper for commercial purposes without the written consent of the Offshore Technology
                                                                                                and loading configuration i.e. T/Y, X, and K. In the 14th
Conference is prohibited. Permission to reproduce in print is restricted to a proposal of not   Edition, the punching shear stress formulations were
more than 300 words; illustrations may not be copied. The proposal must contain conspicuous
acknowledgment of where and by whom the paper was presented. Write Librarian, OTC, P.O.         considerably modified and included a more realistic
Box 833836, Richardson, TX 75083-3836, U.S.A., fax 01-972-952-9435.                             expression to account for the effect of chord loads as well as
Abstract                                                                                        providing an interaction equation for the combined effect of
                                                                                                brace axial and bending stresses. Also introduced in the 14th
Since the early 1990s, API sponsored a series of research                                       Edition was the alternative nominal load approach, which
projects to develop advanced formulation for design of non-                                     gives equivalent results to the punching shear method (Yura,
overlapping tubular T, Double T (DT-X), and K offshore                                          1980). The static strength guidance then essentially remained
platform joints (API RP2A Upgrade Plan, 1990). The                                              unchanged for all editions up to the 21st, although further
University of Illinois at Urbana-Champaign, sponsored by                                        recommendations were added on load transfer through the
API, developed nonlinear finite element models and verified                                     chord in the RPRA Edition 20 issued in 1993. No tubular joint
them against available test results. These models were then                                     revisions were made since then, until now.
used to simulate a wide variety of geometries and static
loading conditions, establishing a broader database than                                        Much further knowledge, including both experimental data
available test results. Advanced closed form parametric                                         and numerical studies, has been gained on the behavior of
formulations were developed and verified against these                                          joints since the API RP 2A 14th Edition. Over the period 1994
analytical results to reduce scatter and generate more reliable                                 to 1996 a joint industry project (JIP) organized by MSL
formulation than provided in the API RP 2A WSD 14th                                             Engineering undertook an update to the tubular joint database
through 21st Editions. One significant feature of the new static                                and guidance (MSL 1996, Dier 1995, Lalani 1993). This work
design formulations is better representation of the chord load                                  and more recent studies, notably by API/EWI and the
and geometry effects and the boundary conditions that are not                                   University of Illinois, have formed the basis of the tubular
possible with physical testing (Pecknold 2000, 01, 02, 05).                                     joint strength provisions of the draft ISO/CD 19902, 2001
                                                                                                Code. Being in LRFD format, the ISO Committee took, as a
The Task Group also evaluated and upgraded the tubular joint                                    starting point for drafting, the relevant provisions from API
fatigue design procedures. The welded joint X and X’ fatigue                                    RP2A LRFD (similar to API RP2A WSD 20th Edition). For
design curves in the RP 2A Editions 11 thru 21 have been                                        the purposes of the update for the API RP2A 22nd Edition, the
replaced by a basic SN curve with a slope m=3 that changes to                                   draft ISO/CD 19902 provisions, in turn, have been used as a
5 at ten million cycles. Fatigue life correction factors for                                    starting basis. However, the ISO provisions were greatly
seawater, thickness, and use of weld profile control, grinding,                                 modified during the drafting process to take account of the
and peening have also been introduced. In addition, the                                         greater knowledge. Additional studies, not available at the
comprehensive Efthymiou 1988 equations replaced the Alpha                                       time of the preparation of the draft ISO guidance, have been
Kellogg Stress Concentration Equations. The Simplified                                          incorporated into the API RP2A Edition 22. The major
Fatigue Design Procedure has been maintained, with the                                          updates in converting from the 20th to 22nd editions are
allowable peak hot spot stresses rechecked for the new SN                                       outlined in the following paragraphs and detailed in Pecknold
curve. SN curves and fatigue design requirements for cast                                       2005 and the commentary to the new API RP2A Edition 22
nodes and grouted joints have also been introduced.                                             but, in summary, involve a relaxation of the 2/3 limit on
                                                                                                tensile strength, additional guidance on detailing practice,
Introduction
                                                                                                removal of the punching shear approach, new Qu and Qf
The API tubular joint static design technology has been                                         formulations, new provisions for grouted joints, and a change
under continuous development since the first edition of the API                                 in the form of the brace load interaction equation.
2                                                                                                                          OTC 17236


Fatigue has long been recognized as an important                     introduced. In addition, the comprehensive Efthymiou 1988
consideration for designing offshore structures. The first           equations have replaced the Alpha Kellogg Stress
edition of RP 2A gave some general statements regarding              Concentration equations, which account for chord stress
fatigue and brittle fracture. More specific criteria were adopted    effects. The Simplified Fatigue Design Procedure has been
in 1971 and appeared in the 3rd edition. These criteria              maintained, with the allowable peak hot spot stresses
included a static stress limitation of 20 ksi (138 Mpa) on           rechecked for the new SN curve. SN curves and fatigue design
cyclic nominal stress, coupled with recommendations that             requirements for cast nodes and grouted joints have also been
simple joints are designed to meet the punching shear criteria       provided.
and that complex joints are detailed with smooth flowing lines.
                                                                     More information on new Tubular Joint design procedures
This simple approach sufficed to relegate fatigue to the status
                                                                     recommended in the API RP2A Edition 22 are summarized in
of secondary considerations, for typical Gulf of Mexico
                                                                     the following paragraphs and details are provided in the two
structures. However, it was recognized that using higher
                                                                     companion OTC 05 papers by Marshall OTC 17295 and
design stresses [corresponding to steels with over 50 ksi (345
                                                                     Pecknold OTC 17310.
MPa)] yield or more severe loading experience, e.g., dynamic
amplification or North Atlantic type wave climate) would             Geometric Requirements
require specific treatment of the fatigue problem (API RP2A
Upgrade Plan 1990 and AWSD1.1). The 11th edition                     API RP 2A Edition 22 did not introduce any major change in
expanded the allowable cyclic stress guidelines to assure            the dimensional design requirements for static or fatigue
                                                                     design. However, several Draft ISO/CD 19902 figures have
ample fatigue lives as part of the normal design process for the
large class of structures, which do not warrant detailed fatigue     been adopted to assure harmony and ease of transition from
analyses.                                                            API to ISO practice. RP 2A Section 4 has as also been fully
                                                                     rewritten, and made compatible with the ISO proposed text.
The years 1974-89 saw a resurgence of research interest in
tubular joints and fatigue, particularly in the North Sea area       New API Figures 4.2-2 and 4.2-3 adopted from ISO (Figures 1
                                                                     and 2) shows the in-plane joint detailing requirements. These
(Back 1981, TWI 1978, Wordsworth 1981). These large-scale
efforts have significantly increased the amount of available         are summarized below.
data, and have prompted reexaminations of fatigue criteria. In       a- The joint can length should extend past the outside edge of
particular, the endurance limits in the original AWS criteria           the bracing a minimum distance of one quarter the chord
were questioned in light of seawater environments, random               diameter or 12 inches (excluding the chord taper)
loading, and fracture mechanics crack growth conditions. A              whichever is greater. Note that, in all earlier editions, the
number of designers and agencies have been using modified               can length included the taper. Even larger extensions may
criteria, which defer or eliminate the endurance limit. These           be required to comply with API Eq. 4.3-4. This
were reflected in the 11th edition when API included its own            conservative revision is introduced in order to stay in
S-N curves for tubular joints. In addition, large-scale test            harmony with the Draft ISO practice.
results emphasized the importance of weld profile and                b- The stubs at brace ends should extent past the brace crown
thickness. A lower set of S-N curves was included to bracket            heel a minimum of one brace diameter or 24 inches
the range of fatigue performance, which can result from                 (excluding the stub taper); whichever is the greater.
typical variations in fabrication practice. An improved              c- The gap between the crown toes of two braces forming a
simplified fatigue analysis approach replacing the allowable            “k-braced” joint configuration should not be less than 2
cyclic stress guidelines was adopted in the 17th edition, along         inch for non-overlapping braces.
with changes to the provisions for detailed fatigue analysis         d- The joint offset (eccentricity = e) may be as much as one-
reflecting greater consensus regarding preferred methods of             fourth the chord diameter (D/4).
analysis, description of sea states, structural frame analysis, S-   e- If there should be a circumferential (girth) weld on a joint
N curves and stress concentration factors.                              can, this should be located at a location where it will not be
New Gulf of Mexico guideline wave heights were adopted in               crossed by a brace to chord weld. If this weld crossing
the 20th edition. Therefore, the simplified fatigue analysis            cannot be avoided, the girth weld should be located
provisions were recalibrated in 1992. In addition to adjusting          between the saddle and crown heel of the lightest (or the
the Allowable Peak Hot Spot Stress values for the simplified            least loaded) brace location (such as a small horizontal
fatigue analysis provisions, RP2A Edition 20 included changes           brace).
to the detail fatigue analysis provisions to the effect that only    f- Longitudinal seam weld on a chord should be offset a
the spectral analysis techniques should be used for                     minimum of 6 inch from the point of intersection of any
determining stress response. Thickness as well as profile               brace, measured along the brace surface (Figure 2). Where
effects were explicitly considered.                                     this is not possible, see (e).
                                                                     g- A tangential intersection of brace footprint and can seam
In the RP2A Edition 22, the Offshore Tubular Joint Task                 should always be avoided, as this sets up fatigue cracks to
group (OTJTG) replaced the welded joint X and X’ fatigue                grow with a substantial part of their length residing in a
design curves used in Editions 11 thru 21 by a basic SN curve           local brittle zone of the seam weld.
with a slope m=3 that changes to 5 at ten million cycles.
Fatigue life correction factors for seawater, thickness, and use     The method proposed by API Edition 20 for classifying joints
of weld profile control, grinding, and peening have also been        into K, T/Y, and Cross Double T / X joints based on their
OTC 17236                                                                                                                                    3


geometry and axial load transfer mode within a plane formed          Strength Factor Qu varies with the joint and load type, as
by the brace and the chord tubulars has been maintained.             given in Table 1 (4.3-1 in API RP2A Edition 22).
Details on overlapping and other joint types and their
                                                                     Chord Load Factor Qf , which accounts for the presence of
geometric requirements are provided in the RP2A Edition 22
                                                                     nominal loads in the chord, has been fully reformulated to
Commentary.
                                                                     produce a much better representation of the chord stress
The API Edition 21 limitation of the chord steel yield strength      effects for a wide variety of joint types and loadings. Chord
Fyc to 2/3 tensile strength, if less, is modified to 0.8 times the   stress effects are difficult to simulate in physical tests. The
tensile strength of the chord for materials with a yield stress of   finite element models used for the Edition 22 formulation
72 ksi (500MPa) or less.                                             enabled better representation of the chord stress effects,
                                                                     resulting in the following formulation:
Static Strength Design
                                                                     Qf = ⎡      ⎛ FSPc ⎞
                                                                                 ⎜      ⎟
                                                                                            ⎛ FSM ipb ⎞
                                                                                            ⎜         ⎟
                                                                                                            ⎤  API Eq. (4.3-2)
The newly developed API static strength design formulation                 ⎢1 + C1 ⎜    ⎟
                                                                                          − C2
                                                                                               ⎜ M       ⎟
                                                                                                          2
                                                                                                             − C3 A ⎥
                                                                           ⎢
                                                                           ⎣       ⎝ Py ⎠      ⎝   p     ⎠          ⎥
                                                                                                                    ⎦
required a full rewrite of the API RP 2A Section 4.3 text and
tables. The punching shear design formulation has been fully         The new A parameter is defined as follows:
eliminated. The joint load capacity and interaction equations                                      0.5
                                                                     A = ⎡ ⎛ FSPc ⎞ ⎛ FSM c ⎞ ⎤
                                                                                   2         2
based design philosophy and the basic formulation has been                                                               API Eq (4.3-3)
                                                                         ⎢ ⎜      ⎟ +⎜      ⎟ ⎥
maintained but the formulas for calculation of its Qu, Qβ, Qg,            ⎢ ⎜ Py ⎟     ⎜ M ⎟ ⎥
and Qf parameters have been fully revised as outlined below.              ⎣ ⎝    ⎠     ⎝  p ⎠ ⎦

Validity Range. As before, the new formulation is based on           (Where 1/3 increase applicable, FS=1.20 in API Equations
an interpretation of data, both experimental and FEA.                4.3-2 and 4.3-3).
Therefore, a validity range has been imposed, although its           Pc and Mc are the nominal axial load and bending resultant
                                                                             2     2       2
implication in general is minimal since the range covers the         (i.e. M c = M ipb + M opb ) in the chord,
wide spectrum of geometries currently used in practice. Joint
                                                                     Py is the yield axial capacity of the chord,
designs outside the below parametric ranges are permitted, but
                                                                     Mp is the plastic moment capacity of the chord, and
require special investigation of design and welding issues.
                                                                     C1, C2 and C3 are coefficients depending on joint and load type
    0.2   ≤     β = d/D ≤ 1.0                                        as given in the following Table (RP2A Table 4.3-2).
    10    ≤     γ = D/2t ≤ 50                                                    VALUES FOR C1, C2 and C3
    30°   ≤     θ ≤ 90°
                                                                       Joint Type and Loading                           C1     C2      C3
    Fy    ≤     72 ksi (500 MPa)
                                                                       K joints under brace axial loading               0.2    0.2     0.3
    g/D   >     -0.6 (for K joints)                                    T/Y joints under brace axial loading             0.3    0       0.8
Basic Capacity Equations. The general form of the brace                X joints under brace axial loading *
                                                                                              β ≤ 0.9                   0.2   0       0.5
load and moment based capacity equations have been
                                                                                              β = 1.0                   -0.2   0       0.2
maintained. However, the 0.8d multiplier in Edition 21’s
                                                                       All joints under brace moment loading             0.2       0   0.4
4.3.1-4b formulation has been eliminated and absorbed into             *Linearly interpolated values between β=0.9 and β=1.0 for X joints
the Qu coefficient. The 1.7 factor has been replaced with FS            under brace axial loading.
enabling transportability between the WSD design approach
commonly used by API and the LRFD approach proposed in               The average of the chord loads and bending moments on either
the ISO 19902 Code, as follows:                                      side of the brace intersection should be used in the API
                                                                     Equations 4.3-2 and 4.3-3. Chord axial load is positive in
                              F yc T 2                               tension, chord in-plane bending moment is positive when it
         Pa     =    Qu Q f                       API Eq. (4.3-1a)
                              FS sin θ                               produces compression on the joint footprint. The chord
                                                                     thickness at the joint should be used in the above calculations.
                              F yc T 2 d
         Ma     =    Qu Q f                       API Eq. (4.3-1b)
                              FS sin θ                               For further details of static tubular joint capacity equations
                                                                     development, see Pecknold OTC 17310 (2005)
(plus 1/3 increase in both cases where applicable)
                                                                     Joints with Thickened Cans. While the 0.25D joint can
Where:                                                               extension (as detailed beyond the brace footprint) still suffices
 Pa =         Allowable capacity for brace axial load.               for K-joints, the following formulation is introduced for
 Ma =         Allowable capacity for brace bending moment.           calculating the capacity of the simple, axially loaded Y and X
 Fyc =        The yield stress of the chord member at the joint      joints where a thickened joint is specified:
              (or 0.8 of the tensile strength, if less), ksi (MPa)
                                                                     Pa = [r + (1 - r) (Tn / Tc)2] (Pa)c        API Eq. (4.3-4)
 FS =         Safety factor = 1.60
                                                                     where:
For axially loaded braces with a classification that is a mixture
                                                                     (Pa)c=    Pa from API Eq. 4.3-1a based on chord can
of K, Y and X joints, take a weighted average of Pa based on the
                                                                                  geometric and material properties, including Qf
portion of each in the total load. Note that the FS value is
                                                                                  calculated with respect to chord can
reduced from 1.7 to 1.6.
4                                                                                                                         OTC 17236


Tn =     nominal chord member thickness                             known static loads. However, for further study, a modest
Tc =     chord can thickness                                        reduction of the WSD safety factor to 1.6 was chosen.
r =      Lc / (2.5 D) for joints with β ≤ 0.9                       Whereas API’s existing WSD safety factor of 1.7
   =     (4β - 3) Lc / (1.5 D) for joints with β >0.9.              corresponded to an LRFD resistance factor of 0.95, a WSD
L =      effective total length. Figure 4.3-2 gives examples for    safety factor of 1.62 (rounded off to 1.6) would correspond to
              calculation of Lc                                     an LRFD resistance factor of 1.0.
Possible mitigations for Y-joints are discussed in Pecknold         Figure 3- API RP2A Edition 20, with SF=1.7.
(2005).
                                                                    Dead load only (static) betas for compressive axial load tests
Strength Check: The arcsine joint interaction ratio, IR,            are safely in the range of 5 to 6, and most of the experimental
recommended by the 21st and earlier editions for axial loads        betas (shaded in black) meet the target criteria. The test results
and/or bending moments in the brace has been replaced by a          are what the Edition 20 criteria were originally based upon.
parabolic relation which is found to result in better correlation   The finite element results cover a wider range of chord loading
with the finite element results and adopted by the draft            cases (Qf effect) than was previously considered, and contain
ISO19902 Code:                                                      some bad news. There is tremendous scatter, and most of the
                 2
IR = P + ⎛ M ⎞ + M
         ⎜    ⎟                 ≤ 1.0    API Eq (4.3-5)             finite element betas fail to meet the targets.
     Pa ⎜ M a ⎟ipb M a
         ⎝    ⎠           opb                                       Storm betas tell a similar story for the old criteria.
Reliability of the New Simple Joint Formulation and                 Compressive axial load tests are all acceptable, but some of
Comparison to API RP2A Edition 21                                   the experimental results, and almost all of the finite element
The API RP 2A, Edition 21 tubular joint design formulation          cases, are not.
statistics are compared against the new API RP2A Edition 22         Figure 4-OTJRC Static Strength Criteria, with SF=1.6.
in table 3 for K, X, and Y joint configurations. The table
provides Mean Bias, Coefficient of Variation (COV) and              For the new criteria, the dead load only (static) betas for test
number of data points for the physical test database used in        and finite element results are all acceptable, and their range of
API Edition 21 against the Finite Element Analysis (FEA)            scatter is much reduced. Three cases out of 20 are less
database used in the API Edition 22. No FEA axial tension           conservative than existing API; these are the experimental
data is reported because joint tension failures cannot yet be       axial compression cases.
reliably predicted by numerical methods due to the                  The wave load only (storm) betas are all acceptable, and fall in
unavailability of an appropriate and accepted failure criterion     a tight cluster, except for the notionally more conservative
for ductile tearing. In general, when only the physical test        tension test results. This is because the large storm load
database are taken into consideration, both formulations result     uncertainty overwhelms the small COVs on joint strength,
in not too different mean biases and COVs. However, when            making mean bias and safety factor (both elements of reserve
the FE data is taken into consideration, striking differences are   strength) more important.
observed.
                                                                    Conclusion. The WSD safety factor of 1.6 has been adopted
For the balanced K joints, when FEA Database is considered          for use with the new OTJRC static strength criteria. Static
the new Edition 22 formulation biases are generally higher          betas greatly exceed target values from precedent, benefiting
while the COVs reduced significantly. The most striking COV         from reduced scatter, but they do not govern. When the one-
reductions are for the balanced axial and in plane bending load     third increase is used for storm loadings, the safety factor
cases. A similar trend is observed for the cross X and Y joints     becomes 1.2. Storm betas are clustered on the safe side of the
especially for the X joint axial compression case where the         API-WSD precedent.
COV is decreased almost tenfold, from 1.33 to 0.12.
                                                                    Fatigue Strength Design
The safety index (also beta=β) is the ratio of total safety
margin to total uncertainty. The 1988 safety calibration of         Stress Concentration Factors (SCF). Efthymiou’s (1988)
API RP2A found that the existing RP2A had betas of 3.4 for          SCF equations are included as part of the RP2A Edition 22.
90% static load, and 2.1 (lifetime) for 80% storm loading           These are based on maximum principal stress, rather than
(100-year design storm). The higher safety level was deemed         strain normal to the weld toe, and are some 15% to 20% more
appropriate for periods when the platforms are manned and           conservative than the alpha (ovalizing) Kellogg formulas
loads are under human control. Moses (1988) proposed a              recommended in RP2A editions 11 through 21. Efthymiou is
target beta of 2.44 across the board for RP2A-LRFD.                 more accurate for planar T, Y, K, X, connections and the
                                                                    ovalizing term is retained in Efthymiou’s more general
In Figures 3 and 4, the safety index for the new API Edition 22     multiplanar cases.
and the old Edition 20 formulation is compared against each
other and the AWS-ASCE and API-WSD target safety indices,           The alpha (length) factor in the Efthymiou equations for T-
now calculated for the 100% Dead Load and 100% Wave                 and Y-connections captures beam bending as it occurs in a test
Load cases.                                                         frame or an isolated FEM analysis, but is difficult to reconcile
                                                                    with bending moments realized in design frame analysis,
Because of the lower scatter (COV), huge reductions in the          particularly where shears result from distributed wave or
safety factor would have still given acceptable betas for           gravity loads along the chord member. One should use either
OTC 17236                                                                                                                                5


the chord bending from Efthymiou, or that from the frame            Seawater Effects. The basic design S-N curves given in Table
analysis, but not both. The effect of average chord axial load      4 are applicable for joints in air and submerged coated joints.
should always be added. More details on application of the          New RP2A Edition 22 recommends that the basic allowable
Efthymiou’s SCF equations to offshore tubular joint design are      cyclic stresses should be corrected empirically for seawater
provided in Marshall OTC 17295 (2005) and commentary to             effects (Hart, 1981). For welded joints in seawater with
the RP2A Edition 22.                                                adequate cathodic protection, the m=3 branch of the S-N curve
                                                                    should be reduced by a factor of 2.0 on life, with m=5 branch
SCFs for grouted tubular joints are also provided in Edition
                                                                    remaining unchanged and the position of the slope change
22. These are generally same as those recommended by the
                                                                    adjusted accordingly. For free corrosion, the reduction factor
Draft ISO/CD 19902 Code. The design of cast nodes is based
                                                                    is 3.0 on the m=3 branch, with no slope change. These
on local stress rather than structural hotspot stress, and a
                                                                    recommendations are similar to that recommended in the Draft
different S-N curve applies.
                                                                    ISO/CD 19902 Code.            Cathodic protection does not
New Basic Tubular Joint Design S-N curve                            completely restore in-air fatigue performance in the low cycle
In the 22nd Edition, the Offshore Tubular Joint Task Group          range, where significant crack growth is involved.
(OTJTG) replaced the welded joint X and X’ fatigue design
                                                                    Thickness effect. The basic as-welded S-N curve is for a
curves of Editions 11 thru 21 by a basic SN curve with a slope
                                                                    reference thickness of tref = 5/8 inch (16 mm), which obscures
m=3 that changes to 5 at ten million cycles as formulated
                                                                    the fact that the criteria become more onerous for typical joint
below.
                                                                    can thickness used offshore. For material thickness above the
Log10(N) = Log10 (k1) – m Log10 (S)             API Eq. 5.4.1-1     reference thickness, the following thickness effect is applied
                                                                    for as-welded joints:
where N is the predicted number of cycles to failure under
                                                                              S = So                      if tref < 5/8 inch
stress range S, k1 is a constant, and m is the inverse slope of               S = So (tref /t)0.25        if tref > 5/8 inch
the basic S-N curves. These values are given below:                 where    S = allowable stress range,
              Basic Tubular Joint Design S-N Curves                          So = the allowable stress range from the S-N curve, and
                                                                             t = member thickness for which fatigue life is predicted.
Curve                          Log10 (k1)               m
                                                                    If the weld has profile control as defined in API RP2A Figure
                                                             7
Welded Tubular Joints    9.95 ksi (12.48 Mpa)     3 for N<10        11.1.3d, the exponent in the above equation may be taken as
                                                             7
(WJ)                    11.92 ksi (16.13 Mpa)     5 for N>10        0.20. If the weld toe has been ground and peened or a cast
                                                             7      joint is used, the exponent in the above equation may be taken
Cast Joints             11.80 ksi (15.17 Mpa)     3 for N<10
(CJ)                    13.00 ksi (16.13 Mpa)     5 for N>10
                                                             7      as 0.15. For cast joints, reference thickness tref is 1.5in
                                                                    (38mm).
The basic tubular joint design S-N curve recommended in the         Weld improvement Techniques. For welded joints,
22nd Edition was the subject of extensive OTJTG discussions         improvement factors on fatigue performance can be obtained
and considerations. While all task group members were in            by a number of methods, including controlled burr grinding of
general agreement with the shape of the low cycle S-N curve         the weld toe, hammer peening, or as-welded profile control to
(k1 = 9.95 ksi, m =3), there was some disagreement on the           produce a smooth concave profile which blends smoothly with
transition point of this curve to the high cycle (k1 = 11.92 ksi,   the parent metal. Below table shows improvement factors that
m =5) S-N curve. The draft ISO/CD 19902 and the earlier             can be applied, provided adequate quality control procedures
MSL study recommended a transition point at N =108 stress           are followed. The grinding improvement factor is not
cycles. However, there was no observed tubular joint fatigue        applicable for joints in seawater without cathodic protection.
failure for N > 107 cycles to support this high cycle transition
point. Claim of fatigue failure of a non-joint configuration                     Factors for Weld Improvement factors
weld (a riser butt weld connection) below the first fatigue
curve, in N > 107 cycles was made, but no such test result was              Weld Improvement          Improvement       Improvement
                                                                               Technique               Factor on S       Factor on N
made available to OTJTG. Based on these observations,
OTJTG resolved to specify the transition point at N = 107              Profiled to merge smoothly          τ
                                                                                                               - 0.1
                                                                                                                            Varies
cycles, with the provision that the use of the Edition 22 fatigue      Weld toe burr grind                 1.25                2
design curves are limited to simple tubular joint designs only.
                                                                       Hammer peening                      1.56                4
More information on the justification of the basic S-N curves
are provided in Marshall OTC17295 (2005), Commentary to
                                                                    For welds with profile control, where the weld toe has been
the RP2A Edition 22, Bomel (1995), and Dimitrakis (1995).
                                                                    profiled (by grinding if required) to merge smoothly with the
Fatigue life correction factors for seawater, thickness, and use    parent metal, and magnetic particle inspection demonstrates
of weld profile control, grinding, and peening have been            the weld toe is free of surface and near-surface defects, the
introduced as summarized below. For more details see                improvement on fatigue performance can be considered as
Marshall OTC17295 Paper (2005) and commentary to the                shown in the Table, where τ is the ratio of branch/chord
RP2A Edition 22.                                                    thickness. This improvement is in addition to the use of
                                                                    hotspot stress at the actual weld toe location, and the reduced
6                                                                                                                              OTC 17236


size effect exponent. Either the factor on S or on N should be       tubular design provisions. George Rodenbush the Chairman
used, but not both.                                                  and Andy Radford, The API Senior Associate, are specifically
                                                                     acknowledged for their support. Shell International E&P,
Welding assemblages with fully ground radius profiles and
                                                                     Paragon Engineering Services Inc., MSL, and ExxonMobil
stress relief may be considered the equivalent of castings with
                                                                     provided considerable manpower and logistical support during
weld repairs.
                                                                     the preparation of the API revisions and this manuscript.
Cumulative Damage. As in previous editions, API RP 2A
                                                                     References
Edition 22 specifies the Miner’s Rule for the calculation of
cumulative fatigue damage. This subject is further examined          American Petroleum Institute, API (2000), Recommended Practice
                                                                       for Planning, Designing, and Constructing Fixed Offshore
in Marshall (2005).
                                                                       Platforms-Working Stress Design, API RP2A-WSD, Edition 22,
Simplified Fatigue Design Procedure. The Simplified                    December 2000.
Fatigue Design Procedure has been maintained, with the               American Petroleum Institute, API (1990), Proposed API RP2A
allowable peak hot spot stresses rechecked for the new SN              Upgrade Plan, 1990 - 1999, for Joint Strength and Fatigue
curve. Its re-calibration as a function of the shape of the long-      Provisions, API Committee Chaired by N Zettlemoyer, 1990.
term stress distribution is described by Marshall (2005),            American Welding Society. Structural Welding Code, AWS D1.1,
                                                                       ANSI Document.
Safety Factors. The API RP2A Editions 11 through 21 in
                                                                     Back, J de (1981), Strength of Tubular joints, Special and Plenary
general required that the design fatigue life of each joint            Sessions, PS7, Proc of the 2nd Intl Conf Steel in Marine Structures,
should be at least twice intended service life of the structure        Paris.
(i.e., Safety Factor =2.). It also recommended that, for critical
                                                                     BOMEL (1995), Design and Reassessment of Tubular Joints for
elements whose sole failure could be catastrophic, larger              Offshore Structures, Chapter 5: Fatigue life assessment, S-N
safety factors should be considered, In concert with the draft         approach, BOMEL report C6060R09.07 Rev A, February 1995
ISO 1992 Code and recent safety studies, RP2A Edition 22             Dexter, RJ and Fisher JW (1997), Fatigue and Fracture, Chapter 24 in
recognized the effect of failure consequence (i.e. criticality)        Chen, WF, Handbook of Structural Engineering, CRC Press
and the in-service inspectability of a tubular joint design in
                                                                     Dier, A. F (1995). and Lalani, M. Strength and Stiffness of Tubular
more detail. Critical elements are those whose sole failure            Joints for Assessment/Design Purposes, Paper OTC 7799, Offshore
could be catastrophic. For failure-critical and non-inspectable        Technology Conference, Houston, May 1995.
connections, increased safety factors are recommended as per         Dimitrakis, SD, Lawrence, FV, and Mohr, WC (1995), S-N curves
Table below. Reduced safety factors can be used for Category           for tubular joints, final report to OTJRC, American Petroleum Inst.
L-2 and L-3 (Low consequence and hurricane evacuated or
                                                                     Efthymiou, M (1988), Development of SCF formulae and generalized
unmanned) conventional steel jacket structures on the basis of         influence functions for use in fatigue analysis, Recent
in-service performance data (for redundant framing inspected           Developments in Tubular Joint Technology, OTJ'88, October
by divers or ROV, SF of 1.0 and half the numbers in the table          1988, London, plus updates.
for the other cases).                                                Hartt, WH (1981) Fatigue of welded structural steel in seawater, OTC
                 Fatigue Life Safety Factors                           3962, Proc Offshore Tech Conf, May 1981
    Failure Critical   Inspectable     Not Inspectable               Hartt, WH and Lin, N (1985), Variable deflection fatigue properties
          No                2                 5                        of welded steel as applicable to offshore structures, Florida
          Yes               5                10                        Atlantic Univ. final report to API.
                                                                     Hartt, WH (1989), Weld Profile and Plate Thickness Effects in
For more details see Marshall OTC17295 (2005), commentary              Fatigue as Applicable to Offshore Structures, API 87-24 progress
to the RP2A Edition 22, Bomel (1995), Dexter (1997),                   report, Florida Atlantic University, May 1989
Dimitrakis (1995), Hart (1981, 85, 89), Marshall (1989, 92),         ISO/CD 19902, Draft E June 2001, International Standards
Trembath (1995), and Vosikovsky (1991).                                Organization, Petroleum and Natural Gas Industries – Offshore
                                                                       Structures – Part 2: Fixed Steel Structures.
Conclusions
                                                                     ISO/DIS 14347 (2002), Fatigue Design Procedure for Welded Hollow
The upgraded tubular Joint design procedures are expected to           Section Joints – Recommendations, International Standards
result in more reliable designs under static and fatigue               Organization, Geneva (as proposed by IIW-XV-E).
loadings. The reduced scatter in the new static design               Lalani, M (1993), Nichols, N.W. and Sharp, J.V. The Static Strength
formulation justifies a reduction of the static load safety factor     and Behavior of Joints in Jack-Up Rigs, Conference on Jack-up rigs,
from 1.7 to 1.6. Further reductions may be considered in the           City University, London, August 1993.
future, with more reliability calibration.                           Marshall, PW (1989), Recent developments in fatigue design rules in
                                                                       the USA, Fatigue Aspects in Structural Design, Delft Univ. Press
The new API RP 2A tubular joint design procedures improve
tubular joint design procedures and provide better alignment         Marshall, PW (1992), API Provisions for SCF, S-N, and Size-Profile
                                                                       Effects, OTC 7155, Proc Offshore Tech Conf, May 1992.
with the ISO/CD 19902 draft design procedures.
                                                                     Marshall P. W (2005), Bucknell, J, Mohr W.C, “Background to New
Acknowledgements                                                       RP2A Fatigue Provisions”, OTC05 Paper No: 17295, Houston TX,
                                                                       2005
Authors acknowledge API and the members of the API SC2
on Offshore Structures who encouraged and made most funds            Marshall P. W (1974), Toprac, A. A., Basis for Tubular Joint Design)
                                                                       Welding Journal, Research Supplement, May 1974
available for the research and development of the new API
OTC 17236                                                                                                                                                  7


Moses, F (1988), and Larabee, R. D., Calibration of the Draft API                            Moment Loads, Report to the American Petroleum Institute, EWI
  RP2A-LRFD for Fixed Platforms, Proc OTC 5699, May 1988.                                    Project No. 42705-CAP, Edison Welding Institute, 2003.
MSL Engineering Limited (1996). Assessment Criteria, Reliability                           Pecknold D. A (2005), Marshall, P.W, Bucknell, J, “New API RP2A
  and Reserve Strength of Tubular Joints, Doc. Ref. C14200R018,                              Tubular Joint Strength Design Provisions”, OTC05 Paper No:
  Ascot, England, March 1996.                                                                17295, Houston TX, 2005
Pecknold, D.A (2000), Ha, C.C. and Mohr, W.C. Ultimate Strength                            Trembath, V (1995), Review of thickness effect in profiled welded
  of DT Tubular Joints with Chord Preloads, Proceedings of the 19th                          joints, MaTR 0238, Material Tech Support Unit (UK), June 1995.
  International Conference on Offshore Mechanics and Arctic                                Yura, J.A. (1980), Zettlemoyer, N. and Edwards, I.F. Ultimate
  Engineering, New Orleans, 2000.                                                            Capacity Equations for Tubular Joints, OTC 3690, Houston
Pecknold, D.A (2001), Park, J.B. and Koeppenhoefer, K.C. Ultimate                          Vosikovsky, 0 and Bell, R (1991), Attachment Thickness and Weld
  Strength of Gap K Tubular Joints with Chord Preloads,                                      Profile Effects on the Fatigue Life of Welded Joints; Proc. 1991
  Proceedings of the 20th International Conference on Offshore                               OMAE, Stavangar
  Mechanics and Arctic Engineering, Rio de Janeiro, 2001.
Pecknold, D.A (2003), Chang, T-Y, and Mohr, W.C. Static Strength
  of T Tubular Joints with Chord Preloads under Brace Axial and



                                           TABLE 1- API RP 2A EDITION 22 TABLE 4.3-1-VALUES FOR Qu

                                                                                      Brace Load
                   Joint
               Classification              Axial                              Axial                       In-plane        Out-of-Plane Bending
                                          Tension                           Compression                   Bending

                     K                                   (16+1.2γ)β1.2 Qg

                                                         but ≤ 40 β1.2 Qg

                                                                      2.8 + (20+0.8γ)β1.6
                   T/Y                     30β                                                          (5+0.7γ)β1.2       2.5+(4.5+0.2γ)β2.6
                                                                       but ≤ 2.8+36 β1.6

                     X                23β for β ≤ 0.9               [2.8 + (12+0.1γ)β]Qβ
                                      20.7 + (β - 0.9)
                                      (17γ - 220) for
                                          β > 0.9



         The following notes apply to Table 1:
         (a)         Qβ is a geometric factor defined by:
               Qβ =            0.3                   for β >0.6
                         β (1 − 0.833β)
             Qβ =          1.0                for β ≤ 0.6
         (b) Qg is the gap factor defined by:
               Qg =             1 + 0.2 [1 – 2.8 g/D]3 for g/D ≥ 0.05
                                          but ≥ 1.0
               Qg =             0.13 + 0.65 φ γ0.5 for g/D ≤ -0.05
                                where φ = t Fyb/(T Fy)
             Linear interpolation between the limiting values of the above two Qg expressions may be used for -0.05 < g/D < 0.05.
             Fyb = yield stress of brace or brace stub if present (or 0.8 times the tensile strength if less), ksi (MPa)
         (c) The Qu term for tension loading is based on limiting the capacity to first crack. The Qu associated with full
             ultimate capacity of tension loaded Y and X joints is given in the Commentary.
          (d) The X joint, axial tension, Qu term for β > 0.9 applies to coaxial braces (i.e. e/D ≤ 0.2 where e is the eccentricity of
              the two braces). If the braces are not coaxial (e/D > 0.2) then 23β should be used over the full range of β.
          (e) Where the working points of members at a gap connection are separated by more than D/4 along the chord
              centerline, or where a connection has simultaneously loaded branch members in more than one plane, the
              connection may be classified as a general or multi-planar connection, and designed as described in the
              Commentary.
8                                                                                                          OTC 17236




      TABLE 2 API RP 2A TUBULAR STATIC STRENGTH STATISTICS. NEW EDITION 22 vs. PREVIOUS EDITION 21 FOR TEST AND
                                        FINITE ELEMENT ANALSIS DATABASES


       Brace                                K Joints
      Loading         Statistical           Test Database                   FE Database
                      Parameter       Edition 22   Edition 21        Edition 22   Edition 21
                    Mean Bias            1.34           1.38            1.14           1.18
     Balanced
       Axial           COV               0.17           0.18            0.11           0.42
                      Number                     161                            440
                     Mean Bias           1.47           1.29            1.32           0.94
      In-Plane
      Bending          COV               0.15           0.09            0.17           0.50
                      Number                      6                             242
                     Mean Bias           1.54           1.15             1.2           0.84
    Out-of-Plane
     Bending           COV               0.19           0.14            0.11           0.14
                      Number                      7                             306
    X Joints
                    Mean Bias            1.17            1.16            1.31            1.47
      Axial
    Compressio         COV               0.09            0.11            0.12            1.33
        n             Number                       65                             339
                    Mean Bias            2.40            2.65
       Axial
                       COV               0.28            0.54
      Tension
                      Number                       34
                     Mean Bias           1.55            1.27            1.35            0.97
      In-Plane
      Bending          COV               0.19            0.21            0.11            0.35
                     N Number                      17                              40
                     Mean Bias           1.39            1.13            1.52            0.75
    Out-of-Plane
     Bending           COV               0.06            0.20            0.23            0.23
                      N Number                      6                              80
    Y Joints
                    Mean Bias            1.21            1.45            1.18            1.24
     Balanced
       Axial           COV               0.11            0.20            0.14            0.32
                      Number                       64                              46
                    Mean Bias            2.56            3.45
       Axial
                       COV               0.29            0.29
      Tension
                      Number                       16
                     Mean Bias           1.41            1.00            1.34            0.90
      In-Plane
      Bending          COV               0.16            0.32            0.10            0.34
                      Number                       29                              18
                     Mean Bias           1.45            1.07            1.31            0.89
    Out-of-Plane
     Bending           COV               0.26            0.26            0.08            0.17
                       Number                      27                              18
OTC 17236                                                                                        9




                                                          SEE SEC. 3.4

                                             1        1

                                         4                 4
                                                                               D/4 or 12in.
                                                                              (300mm) MIN.
                                                                                          SEAM
                                                                                          WELD
                          d2 or 24in.
                    1   (600mm) MIN.

                           4
            2
            d




                                                                         GAP 2in.
                d2 or 24in.                                            (50mm) MIN.
                (600mm) MIN.
                                                                       CAN GIRTH WELD.
                d2 /4 or 6in.
                (150mm) MIN.
                                                               1



                                                 D
                                                                   4




                                                                                          1
            SEE SEC. 3.4                                    d1 or 24in.                   d
                                                          (600mm) MIN.

                                         4

                                             1




              Figure 1. API RP 2A Edition 22, Figure 4.2-2- In-Plane Joint Detailing

                                                 D
                                    X.
                                   A
                               M
                               4
                            D/




                                                                           6in. (150mm)
                                                                                MIN.




                                                                           GAP 2in. (50mm)
                                                                                MIN.
                      d2/4 or 6in.
                    (150mm) MIN.


                       d2 or 24in.
                     (600mm) MIN.
                                                                       d
                                                                        1




                                                          4

                                                      1




                                                 d2




            Figure 2. API RP 2A Edition 22 Figure 4.2-3- Out- of-Plane Joint Detailing
10                                                                      OTC 17236




     Fig 3 Old API RP 2A Edition 21 Formulation (New API Fig 4.3.2.1)




     Fig 4 New API RP 2A Edition 22 Formulation (New API FigC4.3.2.2)

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  • 1. OTC 17236 The New API RP 2A, 22nd Edition Tubular Joint Design Practice D.I. Karsan, Paragon Engineering Services Inc., P.W. Marshall, MHP Systems Engineering, D.A. Pecknold, U. of Illinois at Urbana – Campaign, W.C. Mohr, EWI, J. Bucknell, MSL Services Corporation Copyright 2005, Offshore Technology Conference RP 2A in 1969. In the 3rd edition of API RP2A, issued in 1972, some simple recommendations were introduced based This paper was prepared for presentation at the 2005 Offshore Technology Conference held in Houston, TX, U.S.A., 2–5 May 2005. on punching shear principles (Marshall, 1974). In the 4th This paper was selected for presentation by an OTC Program Committee following review of Edition, factors were introduced to allow for the presence of information contained in a proposal submitted by the author(s). Contents of the paper, as load in the chord and the brace-to-chord diameter ratio (Beta = presented, have not been reviewed by the Offshore Technology Conference and are subject to correction by the author(s). The material, as presented, does not necessarily reflect any β). In the 9th edition, issued in 1977, differentiation was position of the Offshore Technology Conference, its officers, or members. Papers presented at OTC are subject to publication review by Sponsor Society Committees of the Offshore introduced in the allowable stress formulations for the joint Technology Conference. Electronic reproduction, distribution, or storage of any part of this paper for commercial purposes without the written consent of the Offshore Technology and loading configuration i.e. T/Y, X, and K. In the 14th Conference is prohibited. Permission to reproduce in print is restricted to a proposal of not Edition, the punching shear stress formulations were more than 300 words; illustrations may not be copied. The proposal must contain conspicuous acknowledgment of where and by whom the paper was presented. Write Librarian, OTC, P.O. considerably modified and included a more realistic Box 833836, Richardson, TX 75083-3836, U.S.A., fax 01-972-952-9435. expression to account for the effect of chord loads as well as Abstract providing an interaction equation for the combined effect of brace axial and bending stresses. Also introduced in the 14th Since the early 1990s, API sponsored a series of research Edition was the alternative nominal load approach, which projects to develop advanced formulation for design of non- gives equivalent results to the punching shear method (Yura, overlapping tubular T, Double T (DT-X), and K offshore 1980). The static strength guidance then essentially remained platform joints (API RP2A Upgrade Plan, 1990). The unchanged for all editions up to the 21st, although further University of Illinois at Urbana-Champaign, sponsored by recommendations were added on load transfer through the API, developed nonlinear finite element models and verified chord in the RPRA Edition 20 issued in 1993. No tubular joint them against available test results. These models were then revisions were made since then, until now. used to simulate a wide variety of geometries and static loading conditions, establishing a broader database than Much further knowledge, including both experimental data available test results. Advanced closed form parametric and numerical studies, has been gained on the behavior of formulations were developed and verified against these joints since the API RP 2A 14th Edition. Over the period 1994 analytical results to reduce scatter and generate more reliable to 1996 a joint industry project (JIP) organized by MSL formulation than provided in the API RP 2A WSD 14th Engineering undertook an update to the tubular joint database through 21st Editions. One significant feature of the new static and guidance (MSL 1996, Dier 1995, Lalani 1993). This work design formulations is better representation of the chord load and more recent studies, notably by API/EWI and the and geometry effects and the boundary conditions that are not University of Illinois, have formed the basis of the tubular possible with physical testing (Pecknold 2000, 01, 02, 05). joint strength provisions of the draft ISO/CD 19902, 2001 Code. Being in LRFD format, the ISO Committee took, as a The Task Group also evaluated and upgraded the tubular joint starting point for drafting, the relevant provisions from API fatigue design procedures. The welded joint X and X’ fatigue RP2A LRFD (similar to API RP2A WSD 20th Edition). For design curves in the RP 2A Editions 11 thru 21 have been the purposes of the update for the API RP2A 22nd Edition, the replaced by a basic SN curve with a slope m=3 that changes to draft ISO/CD 19902 provisions, in turn, have been used as a 5 at ten million cycles. Fatigue life correction factors for starting basis. However, the ISO provisions were greatly seawater, thickness, and use of weld profile control, grinding, modified during the drafting process to take account of the and peening have also been introduced. In addition, the greater knowledge. Additional studies, not available at the comprehensive Efthymiou 1988 equations replaced the Alpha time of the preparation of the draft ISO guidance, have been Kellogg Stress Concentration Equations. The Simplified incorporated into the API RP2A Edition 22. The major Fatigue Design Procedure has been maintained, with the updates in converting from the 20th to 22nd editions are allowable peak hot spot stresses rechecked for the new SN outlined in the following paragraphs and detailed in Pecknold curve. SN curves and fatigue design requirements for cast 2005 and the commentary to the new API RP2A Edition 22 nodes and grouted joints have also been introduced. but, in summary, involve a relaxation of the 2/3 limit on tensile strength, additional guidance on detailing practice, Introduction removal of the punching shear approach, new Qu and Qf The API tubular joint static design technology has been formulations, new provisions for grouted joints, and a change under continuous development since the first edition of the API in the form of the brace load interaction equation.
  • 2. 2 OTC 17236 Fatigue has long been recognized as an important introduced. In addition, the comprehensive Efthymiou 1988 consideration for designing offshore structures. The first equations have replaced the Alpha Kellogg Stress edition of RP 2A gave some general statements regarding Concentration equations, which account for chord stress fatigue and brittle fracture. More specific criteria were adopted effects. The Simplified Fatigue Design Procedure has been in 1971 and appeared in the 3rd edition. These criteria maintained, with the allowable peak hot spot stresses included a static stress limitation of 20 ksi (138 Mpa) on rechecked for the new SN curve. SN curves and fatigue design cyclic nominal stress, coupled with recommendations that requirements for cast nodes and grouted joints have also been simple joints are designed to meet the punching shear criteria provided. and that complex joints are detailed with smooth flowing lines. More information on new Tubular Joint design procedures This simple approach sufficed to relegate fatigue to the status recommended in the API RP2A Edition 22 are summarized in of secondary considerations, for typical Gulf of Mexico the following paragraphs and details are provided in the two structures. However, it was recognized that using higher companion OTC 05 papers by Marshall OTC 17295 and design stresses [corresponding to steels with over 50 ksi (345 Pecknold OTC 17310. MPa)] yield or more severe loading experience, e.g., dynamic amplification or North Atlantic type wave climate) would Geometric Requirements require specific treatment of the fatigue problem (API RP2A Upgrade Plan 1990 and AWSD1.1). The 11th edition API RP 2A Edition 22 did not introduce any major change in expanded the allowable cyclic stress guidelines to assure the dimensional design requirements for static or fatigue design. However, several Draft ISO/CD 19902 figures have ample fatigue lives as part of the normal design process for the large class of structures, which do not warrant detailed fatigue been adopted to assure harmony and ease of transition from analyses. API to ISO practice. RP 2A Section 4 has as also been fully rewritten, and made compatible with the ISO proposed text. The years 1974-89 saw a resurgence of research interest in tubular joints and fatigue, particularly in the North Sea area New API Figures 4.2-2 and 4.2-3 adopted from ISO (Figures 1 and 2) shows the in-plane joint detailing requirements. These (Back 1981, TWI 1978, Wordsworth 1981). These large-scale efforts have significantly increased the amount of available are summarized below. data, and have prompted reexaminations of fatigue criteria. In a- The joint can length should extend past the outside edge of particular, the endurance limits in the original AWS criteria the bracing a minimum distance of one quarter the chord were questioned in light of seawater environments, random diameter or 12 inches (excluding the chord taper) loading, and fracture mechanics crack growth conditions. A whichever is greater. Note that, in all earlier editions, the number of designers and agencies have been using modified can length included the taper. Even larger extensions may criteria, which defer or eliminate the endurance limit. These be required to comply with API Eq. 4.3-4. This were reflected in the 11th edition when API included its own conservative revision is introduced in order to stay in S-N curves for tubular joints. In addition, large-scale test harmony with the Draft ISO practice. results emphasized the importance of weld profile and b- The stubs at brace ends should extent past the brace crown thickness. A lower set of S-N curves was included to bracket heel a minimum of one brace diameter or 24 inches the range of fatigue performance, which can result from (excluding the stub taper); whichever is the greater. typical variations in fabrication practice. An improved c- The gap between the crown toes of two braces forming a simplified fatigue analysis approach replacing the allowable “k-braced” joint configuration should not be less than 2 cyclic stress guidelines was adopted in the 17th edition, along inch for non-overlapping braces. with changes to the provisions for detailed fatigue analysis d- The joint offset (eccentricity = e) may be as much as one- reflecting greater consensus regarding preferred methods of fourth the chord diameter (D/4). analysis, description of sea states, structural frame analysis, S- e- If there should be a circumferential (girth) weld on a joint N curves and stress concentration factors. can, this should be located at a location where it will not be New Gulf of Mexico guideline wave heights were adopted in crossed by a brace to chord weld. If this weld crossing the 20th edition. Therefore, the simplified fatigue analysis cannot be avoided, the girth weld should be located provisions were recalibrated in 1992. In addition to adjusting between the saddle and crown heel of the lightest (or the the Allowable Peak Hot Spot Stress values for the simplified least loaded) brace location (such as a small horizontal fatigue analysis provisions, RP2A Edition 20 included changes brace). to the detail fatigue analysis provisions to the effect that only f- Longitudinal seam weld on a chord should be offset a the spectral analysis techniques should be used for minimum of 6 inch from the point of intersection of any determining stress response. Thickness as well as profile brace, measured along the brace surface (Figure 2). Where effects were explicitly considered. this is not possible, see (e). g- A tangential intersection of brace footprint and can seam In the RP2A Edition 22, the Offshore Tubular Joint Task should always be avoided, as this sets up fatigue cracks to group (OTJTG) replaced the welded joint X and X’ fatigue grow with a substantial part of their length residing in a design curves used in Editions 11 thru 21 by a basic SN curve local brittle zone of the seam weld. with a slope m=3 that changes to 5 at ten million cycles. Fatigue life correction factors for seawater, thickness, and use The method proposed by API Edition 20 for classifying joints of weld profile control, grinding, and peening have also been into K, T/Y, and Cross Double T / X joints based on their
  • 3. OTC 17236 3 geometry and axial load transfer mode within a plane formed Strength Factor Qu varies with the joint and load type, as by the brace and the chord tubulars has been maintained. given in Table 1 (4.3-1 in API RP2A Edition 22). Details on overlapping and other joint types and their Chord Load Factor Qf , which accounts for the presence of geometric requirements are provided in the RP2A Edition 22 nominal loads in the chord, has been fully reformulated to Commentary. produce a much better representation of the chord stress The API Edition 21 limitation of the chord steel yield strength effects for a wide variety of joint types and loadings. Chord Fyc to 2/3 tensile strength, if less, is modified to 0.8 times the stress effects are difficult to simulate in physical tests. The tensile strength of the chord for materials with a yield stress of finite element models used for the Edition 22 formulation 72 ksi (500MPa) or less. enabled better representation of the chord stress effects, resulting in the following formulation: Static Strength Design Qf = ⎡ ⎛ FSPc ⎞ ⎜ ⎟ ⎛ FSM ipb ⎞ ⎜ ⎟ ⎤ API Eq. (4.3-2) The newly developed API static strength design formulation ⎢1 + C1 ⎜ ⎟ − C2 ⎜ M ⎟ 2 − C3 A ⎥ ⎢ ⎣ ⎝ Py ⎠ ⎝ p ⎠ ⎥ ⎦ required a full rewrite of the API RP 2A Section 4.3 text and tables. The punching shear design formulation has been fully The new A parameter is defined as follows: eliminated. The joint load capacity and interaction equations 0.5 A = ⎡ ⎛ FSPc ⎞ ⎛ FSM c ⎞ ⎤ 2 2 based design philosophy and the basic formulation has been API Eq (4.3-3) ⎢ ⎜ ⎟ +⎜ ⎟ ⎥ maintained but the formulas for calculation of its Qu, Qβ, Qg, ⎢ ⎜ Py ⎟ ⎜ M ⎟ ⎥ and Qf parameters have been fully revised as outlined below. ⎣ ⎝ ⎠ ⎝ p ⎠ ⎦ Validity Range. As before, the new formulation is based on (Where 1/3 increase applicable, FS=1.20 in API Equations an interpretation of data, both experimental and FEA. 4.3-2 and 4.3-3). Therefore, a validity range has been imposed, although its Pc and Mc are the nominal axial load and bending resultant 2 2 2 implication in general is minimal since the range covers the (i.e. M c = M ipb + M opb ) in the chord, wide spectrum of geometries currently used in practice. Joint Py is the yield axial capacity of the chord, designs outside the below parametric ranges are permitted, but Mp is the plastic moment capacity of the chord, and require special investigation of design and welding issues. C1, C2 and C3 are coefficients depending on joint and load type 0.2 ≤ β = d/D ≤ 1.0 as given in the following Table (RP2A Table 4.3-2). 10 ≤ γ = D/2t ≤ 50 VALUES FOR C1, C2 and C3 30° ≤ θ ≤ 90° Joint Type and Loading C1 C2 C3 Fy ≤ 72 ksi (500 MPa) K joints under brace axial loading 0.2 0.2 0.3 g/D > -0.6 (for K joints) T/Y joints under brace axial loading 0.3 0 0.8 Basic Capacity Equations. The general form of the brace X joints under brace axial loading * β ≤ 0.9 0.2 0 0.5 load and moment based capacity equations have been β = 1.0 -0.2 0 0.2 maintained. However, the 0.8d multiplier in Edition 21’s All joints under brace moment loading 0.2 0 0.4 4.3.1-4b formulation has been eliminated and absorbed into *Linearly interpolated values between β=0.9 and β=1.0 for X joints the Qu coefficient. The 1.7 factor has been replaced with FS under brace axial loading. enabling transportability between the WSD design approach commonly used by API and the LRFD approach proposed in The average of the chord loads and bending moments on either the ISO 19902 Code, as follows: side of the brace intersection should be used in the API Equations 4.3-2 and 4.3-3. Chord axial load is positive in F yc T 2 tension, chord in-plane bending moment is positive when it Pa = Qu Q f API Eq. (4.3-1a) FS sin θ produces compression on the joint footprint. The chord thickness at the joint should be used in the above calculations. F yc T 2 d Ma = Qu Q f API Eq. (4.3-1b) FS sin θ For further details of static tubular joint capacity equations development, see Pecknold OTC 17310 (2005) (plus 1/3 increase in both cases where applicable) Joints with Thickened Cans. While the 0.25D joint can Where: extension (as detailed beyond the brace footprint) still suffices Pa = Allowable capacity for brace axial load. for K-joints, the following formulation is introduced for Ma = Allowable capacity for brace bending moment. calculating the capacity of the simple, axially loaded Y and X Fyc = The yield stress of the chord member at the joint joints where a thickened joint is specified: (or 0.8 of the tensile strength, if less), ksi (MPa) Pa = [r + (1 - r) (Tn / Tc)2] (Pa)c API Eq. (4.3-4) FS = Safety factor = 1.60 where: For axially loaded braces with a classification that is a mixture (Pa)c= Pa from API Eq. 4.3-1a based on chord can of K, Y and X joints, take a weighted average of Pa based on the geometric and material properties, including Qf portion of each in the total load. Note that the FS value is calculated with respect to chord can reduced from 1.7 to 1.6.
  • 4. 4 OTC 17236 Tn = nominal chord member thickness known static loads. However, for further study, a modest Tc = chord can thickness reduction of the WSD safety factor to 1.6 was chosen. r = Lc / (2.5 D) for joints with β ≤ 0.9 Whereas API’s existing WSD safety factor of 1.7 = (4β - 3) Lc / (1.5 D) for joints with β >0.9. corresponded to an LRFD resistance factor of 0.95, a WSD L = effective total length. Figure 4.3-2 gives examples for safety factor of 1.62 (rounded off to 1.6) would correspond to calculation of Lc an LRFD resistance factor of 1.0. Possible mitigations for Y-joints are discussed in Pecknold Figure 3- API RP2A Edition 20, with SF=1.7. (2005). Dead load only (static) betas for compressive axial load tests Strength Check: The arcsine joint interaction ratio, IR, are safely in the range of 5 to 6, and most of the experimental recommended by the 21st and earlier editions for axial loads betas (shaded in black) meet the target criteria. The test results and/or bending moments in the brace has been replaced by a are what the Edition 20 criteria were originally based upon. parabolic relation which is found to result in better correlation The finite element results cover a wider range of chord loading with the finite element results and adopted by the draft cases (Qf effect) than was previously considered, and contain ISO19902 Code: some bad news. There is tremendous scatter, and most of the 2 IR = P + ⎛ M ⎞ + M ⎜ ⎟ ≤ 1.0 API Eq (4.3-5) finite element betas fail to meet the targets. Pa ⎜ M a ⎟ipb M a ⎝ ⎠ opb Storm betas tell a similar story for the old criteria. Reliability of the New Simple Joint Formulation and Compressive axial load tests are all acceptable, but some of Comparison to API RP2A Edition 21 the experimental results, and almost all of the finite element The API RP 2A, Edition 21 tubular joint design formulation cases, are not. statistics are compared against the new API RP2A Edition 22 Figure 4-OTJRC Static Strength Criteria, with SF=1.6. in table 3 for K, X, and Y joint configurations. The table provides Mean Bias, Coefficient of Variation (COV) and For the new criteria, the dead load only (static) betas for test number of data points for the physical test database used in and finite element results are all acceptable, and their range of API Edition 21 against the Finite Element Analysis (FEA) scatter is much reduced. Three cases out of 20 are less database used in the API Edition 22. No FEA axial tension conservative than existing API; these are the experimental data is reported because joint tension failures cannot yet be axial compression cases. reliably predicted by numerical methods due to the The wave load only (storm) betas are all acceptable, and fall in unavailability of an appropriate and accepted failure criterion a tight cluster, except for the notionally more conservative for ductile tearing. In general, when only the physical test tension test results. This is because the large storm load database are taken into consideration, both formulations result uncertainty overwhelms the small COVs on joint strength, in not too different mean biases and COVs. However, when making mean bias and safety factor (both elements of reserve the FE data is taken into consideration, striking differences are strength) more important. observed. Conclusion. The WSD safety factor of 1.6 has been adopted For the balanced K joints, when FEA Database is considered for use with the new OTJRC static strength criteria. Static the new Edition 22 formulation biases are generally higher betas greatly exceed target values from precedent, benefiting while the COVs reduced significantly. The most striking COV from reduced scatter, but they do not govern. When the one- reductions are for the balanced axial and in plane bending load third increase is used for storm loadings, the safety factor cases. A similar trend is observed for the cross X and Y joints becomes 1.2. Storm betas are clustered on the safe side of the especially for the X joint axial compression case where the API-WSD precedent. COV is decreased almost tenfold, from 1.33 to 0.12. Fatigue Strength Design The safety index (also beta=β) is the ratio of total safety margin to total uncertainty. The 1988 safety calibration of Stress Concentration Factors (SCF). Efthymiou’s (1988) API RP2A found that the existing RP2A had betas of 3.4 for SCF equations are included as part of the RP2A Edition 22. 90% static load, and 2.1 (lifetime) for 80% storm loading These are based on maximum principal stress, rather than (100-year design storm). The higher safety level was deemed strain normal to the weld toe, and are some 15% to 20% more appropriate for periods when the platforms are manned and conservative than the alpha (ovalizing) Kellogg formulas loads are under human control. Moses (1988) proposed a recommended in RP2A editions 11 through 21. Efthymiou is target beta of 2.44 across the board for RP2A-LRFD. more accurate for planar T, Y, K, X, connections and the ovalizing term is retained in Efthymiou’s more general In Figures 3 and 4, the safety index for the new API Edition 22 multiplanar cases. and the old Edition 20 formulation is compared against each other and the AWS-ASCE and API-WSD target safety indices, The alpha (length) factor in the Efthymiou equations for T- now calculated for the 100% Dead Load and 100% Wave and Y-connections captures beam bending as it occurs in a test Load cases. frame or an isolated FEM analysis, but is difficult to reconcile with bending moments realized in design frame analysis, Because of the lower scatter (COV), huge reductions in the particularly where shears result from distributed wave or safety factor would have still given acceptable betas for gravity loads along the chord member. One should use either
  • 5. OTC 17236 5 the chord bending from Efthymiou, or that from the frame Seawater Effects. The basic design S-N curves given in Table analysis, but not both. The effect of average chord axial load 4 are applicable for joints in air and submerged coated joints. should always be added. More details on application of the New RP2A Edition 22 recommends that the basic allowable Efthymiou’s SCF equations to offshore tubular joint design are cyclic stresses should be corrected empirically for seawater provided in Marshall OTC 17295 (2005) and commentary to effects (Hart, 1981). For welded joints in seawater with the RP2A Edition 22. adequate cathodic protection, the m=3 branch of the S-N curve should be reduced by a factor of 2.0 on life, with m=5 branch SCFs for grouted tubular joints are also provided in Edition remaining unchanged and the position of the slope change 22. These are generally same as those recommended by the adjusted accordingly. For free corrosion, the reduction factor Draft ISO/CD 19902 Code. The design of cast nodes is based is 3.0 on the m=3 branch, with no slope change. These on local stress rather than structural hotspot stress, and a recommendations are similar to that recommended in the Draft different S-N curve applies. ISO/CD 19902 Code. Cathodic protection does not New Basic Tubular Joint Design S-N curve completely restore in-air fatigue performance in the low cycle In the 22nd Edition, the Offshore Tubular Joint Task Group range, where significant crack growth is involved. (OTJTG) replaced the welded joint X and X’ fatigue design Thickness effect. The basic as-welded S-N curve is for a curves of Editions 11 thru 21 by a basic SN curve with a slope reference thickness of tref = 5/8 inch (16 mm), which obscures m=3 that changes to 5 at ten million cycles as formulated the fact that the criteria become more onerous for typical joint below. can thickness used offshore. For material thickness above the Log10(N) = Log10 (k1) – m Log10 (S) API Eq. 5.4.1-1 reference thickness, the following thickness effect is applied for as-welded joints: where N is the predicted number of cycles to failure under S = So if tref < 5/8 inch stress range S, k1 is a constant, and m is the inverse slope of S = So (tref /t)0.25 if tref > 5/8 inch the basic S-N curves. These values are given below: where S = allowable stress range, Basic Tubular Joint Design S-N Curves So = the allowable stress range from the S-N curve, and t = member thickness for which fatigue life is predicted. Curve Log10 (k1) m If the weld has profile control as defined in API RP2A Figure 7 Welded Tubular Joints 9.95 ksi (12.48 Mpa) 3 for N<10 11.1.3d, the exponent in the above equation may be taken as 7 (WJ) 11.92 ksi (16.13 Mpa) 5 for N>10 0.20. If the weld toe has been ground and peened or a cast 7 joint is used, the exponent in the above equation may be taken Cast Joints 11.80 ksi (15.17 Mpa) 3 for N<10 (CJ) 13.00 ksi (16.13 Mpa) 5 for N>10 7 as 0.15. For cast joints, reference thickness tref is 1.5in (38mm). The basic tubular joint design S-N curve recommended in the Weld improvement Techniques. For welded joints, 22nd Edition was the subject of extensive OTJTG discussions improvement factors on fatigue performance can be obtained and considerations. While all task group members were in by a number of methods, including controlled burr grinding of general agreement with the shape of the low cycle S-N curve the weld toe, hammer peening, or as-welded profile control to (k1 = 9.95 ksi, m =3), there was some disagreement on the produce a smooth concave profile which blends smoothly with transition point of this curve to the high cycle (k1 = 11.92 ksi, the parent metal. Below table shows improvement factors that m =5) S-N curve. The draft ISO/CD 19902 and the earlier can be applied, provided adequate quality control procedures MSL study recommended a transition point at N =108 stress are followed. The grinding improvement factor is not cycles. However, there was no observed tubular joint fatigue applicable for joints in seawater without cathodic protection. failure for N > 107 cycles to support this high cycle transition point. Claim of fatigue failure of a non-joint configuration Factors for Weld Improvement factors weld (a riser butt weld connection) below the first fatigue curve, in N > 107 cycles was made, but no such test result was Weld Improvement Improvement Improvement Technique Factor on S Factor on N made available to OTJTG. Based on these observations, OTJTG resolved to specify the transition point at N = 107 Profiled to merge smoothly τ - 0.1 Varies cycles, with the provision that the use of the Edition 22 fatigue Weld toe burr grind 1.25 2 design curves are limited to simple tubular joint designs only. Hammer peening 1.56 4 More information on the justification of the basic S-N curves are provided in Marshall OTC17295 (2005), Commentary to For welds with profile control, where the weld toe has been the RP2A Edition 22, Bomel (1995), and Dimitrakis (1995). profiled (by grinding if required) to merge smoothly with the Fatigue life correction factors for seawater, thickness, and use parent metal, and magnetic particle inspection demonstrates of weld profile control, grinding, and peening have been the weld toe is free of surface and near-surface defects, the introduced as summarized below. For more details see improvement on fatigue performance can be considered as Marshall OTC17295 Paper (2005) and commentary to the shown in the Table, where τ is the ratio of branch/chord RP2A Edition 22. thickness. This improvement is in addition to the use of hotspot stress at the actual weld toe location, and the reduced
  • 6. 6 OTC 17236 size effect exponent. Either the factor on S or on N should be tubular design provisions. George Rodenbush the Chairman used, but not both. and Andy Radford, The API Senior Associate, are specifically acknowledged for their support. Shell International E&P, Welding assemblages with fully ground radius profiles and Paragon Engineering Services Inc., MSL, and ExxonMobil stress relief may be considered the equivalent of castings with provided considerable manpower and logistical support during weld repairs. the preparation of the API revisions and this manuscript. Cumulative Damage. As in previous editions, API RP 2A References Edition 22 specifies the Miner’s Rule for the calculation of cumulative fatigue damage. This subject is further examined American Petroleum Institute, API (2000), Recommended Practice for Planning, Designing, and Constructing Fixed Offshore in Marshall (2005). Platforms-Working Stress Design, API RP2A-WSD, Edition 22, Simplified Fatigue Design Procedure. The Simplified December 2000. Fatigue Design Procedure has been maintained, with the American Petroleum Institute, API (1990), Proposed API RP2A allowable peak hot spot stresses rechecked for the new SN Upgrade Plan, 1990 - 1999, for Joint Strength and Fatigue curve. Its re-calibration as a function of the shape of the long- Provisions, API Committee Chaired by N Zettlemoyer, 1990. term stress distribution is described by Marshall (2005), American Welding Society. Structural Welding Code, AWS D1.1, ANSI Document. Safety Factors. The API RP2A Editions 11 through 21 in Back, J de (1981), Strength of Tubular joints, Special and Plenary general required that the design fatigue life of each joint Sessions, PS7, Proc of the 2nd Intl Conf Steel in Marine Structures, should be at least twice intended service life of the structure Paris. (i.e., Safety Factor =2.). It also recommended that, for critical BOMEL (1995), Design and Reassessment of Tubular Joints for elements whose sole failure could be catastrophic, larger Offshore Structures, Chapter 5: Fatigue life assessment, S-N safety factors should be considered, In concert with the draft approach, BOMEL report C6060R09.07 Rev A, February 1995 ISO 1992 Code and recent safety studies, RP2A Edition 22 Dexter, RJ and Fisher JW (1997), Fatigue and Fracture, Chapter 24 in recognized the effect of failure consequence (i.e. criticality) Chen, WF, Handbook of Structural Engineering, CRC Press and the in-service inspectability of a tubular joint design in Dier, A. F (1995). and Lalani, M. Strength and Stiffness of Tubular more detail. Critical elements are those whose sole failure Joints for Assessment/Design Purposes, Paper OTC 7799, Offshore could be catastrophic. For failure-critical and non-inspectable Technology Conference, Houston, May 1995. connections, increased safety factors are recommended as per Dimitrakis, SD, Lawrence, FV, and Mohr, WC (1995), S-N curves Table below. Reduced safety factors can be used for Category for tubular joints, final report to OTJRC, American Petroleum Inst. L-2 and L-3 (Low consequence and hurricane evacuated or Efthymiou, M (1988), Development of SCF formulae and generalized unmanned) conventional steel jacket structures on the basis of influence functions for use in fatigue analysis, Recent in-service performance data (for redundant framing inspected Developments in Tubular Joint Technology, OTJ'88, October by divers or ROV, SF of 1.0 and half the numbers in the table 1988, London, plus updates. for the other cases). Hartt, WH (1981) Fatigue of welded structural steel in seawater, OTC Fatigue Life Safety Factors 3962, Proc Offshore Tech Conf, May 1981 Failure Critical Inspectable Not Inspectable Hartt, WH and Lin, N (1985), Variable deflection fatigue properties No 2 5 of welded steel as applicable to offshore structures, Florida Yes 5 10 Atlantic Univ. final report to API. Hartt, WH (1989), Weld Profile and Plate Thickness Effects in For more details see Marshall OTC17295 (2005), commentary Fatigue as Applicable to Offshore Structures, API 87-24 progress to the RP2A Edition 22, Bomel (1995), Dexter (1997), report, Florida Atlantic University, May 1989 Dimitrakis (1995), Hart (1981, 85, 89), Marshall (1989, 92), ISO/CD 19902, Draft E June 2001, International Standards Trembath (1995), and Vosikovsky (1991). Organization, Petroleum and Natural Gas Industries – Offshore Structures – Part 2: Fixed Steel Structures. Conclusions ISO/DIS 14347 (2002), Fatigue Design Procedure for Welded Hollow The upgraded tubular Joint design procedures are expected to Section Joints – Recommendations, International Standards result in more reliable designs under static and fatigue Organization, Geneva (as proposed by IIW-XV-E). loadings. The reduced scatter in the new static design Lalani, M (1993), Nichols, N.W. and Sharp, J.V. The Static Strength formulation justifies a reduction of the static load safety factor and Behavior of Joints in Jack-Up Rigs, Conference on Jack-up rigs, from 1.7 to 1.6. Further reductions may be considered in the City University, London, August 1993. future, with more reliability calibration. Marshall, PW (1989), Recent developments in fatigue design rules in the USA, Fatigue Aspects in Structural Design, Delft Univ. Press The new API RP 2A tubular joint design procedures improve tubular joint design procedures and provide better alignment Marshall, PW (1992), API Provisions for SCF, S-N, and Size-Profile Effects, OTC 7155, Proc Offshore Tech Conf, May 1992. with the ISO/CD 19902 draft design procedures. Marshall P. W (2005), Bucknell, J, Mohr W.C, “Background to New Acknowledgements RP2A Fatigue Provisions”, OTC05 Paper No: 17295, Houston TX, 2005 Authors acknowledge API and the members of the API SC2 on Offshore Structures who encouraged and made most funds Marshall P. W (1974), Toprac, A. A., Basis for Tubular Joint Design) Welding Journal, Research Supplement, May 1974 available for the research and development of the new API
  • 7. OTC 17236 7 Moses, F (1988), and Larabee, R. D., Calibration of the Draft API Moment Loads, Report to the American Petroleum Institute, EWI RP2A-LRFD for Fixed Platforms, Proc OTC 5699, May 1988. Project No. 42705-CAP, Edison Welding Institute, 2003. MSL Engineering Limited (1996). Assessment Criteria, Reliability Pecknold D. A (2005), Marshall, P.W, Bucknell, J, “New API RP2A and Reserve Strength of Tubular Joints, Doc. Ref. C14200R018, Tubular Joint Strength Design Provisions”, OTC05 Paper No: Ascot, England, March 1996. 17295, Houston TX, 2005 Pecknold, D.A (2000), Ha, C.C. and Mohr, W.C. Ultimate Strength Trembath, V (1995), Review of thickness effect in profiled welded of DT Tubular Joints with Chord Preloads, Proceedings of the 19th joints, MaTR 0238, Material Tech Support Unit (UK), June 1995. International Conference on Offshore Mechanics and Arctic Yura, J.A. (1980), Zettlemoyer, N. and Edwards, I.F. Ultimate Engineering, New Orleans, 2000. Capacity Equations for Tubular Joints, OTC 3690, Houston Pecknold, D.A (2001), Park, J.B. and Koeppenhoefer, K.C. Ultimate Vosikovsky, 0 and Bell, R (1991), Attachment Thickness and Weld Strength of Gap K Tubular Joints with Chord Preloads, Profile Effects on the Fatigue Life of Welded Joints; Proc. 1991 Proceedings of the 20th International Conference on Offshore OMAE, Stavangar Mechanics and Arctic Engineering, Rio de Janeiro, 2001. Pecknold, D.A (2003), Chang, T-Y, and Mohr, W.C. Static Strength of T Tubular Joints with Chord Preloads under Brace Axial and TABLE 1- API RP 2A EDITION 22 TABLE 4.3-1-VALUES FOR Qu Brace Load Joint Classification Axial Axial In-plane Out-of-Plane Bending Tension Compression Bending K (16+1.2γ)β1.2 Qg but ≤ 40 β1.2 Qg 2.8 + (20+0.8γ)β1.6 T/Y 30β (5+0.7γ)β1.2 2.5+(4.5+0.2γ)β2.6 but ≤ 2.8+36 β1.6 X 23β for β ≤ 0.9 [2.8 + (12+0.1γ)β]Qβ 20.7 + (β - 0.9) (17γ - 220) for β > 0.9 The following notes apply to Table 1: (a) Qβ is a geometric factor defined by: Qβ = 0.3 for β >0.6 β (1 − 0.833β) Qβ = 1.0 for β ≤ 0.6 (b) Qg is the gap factor defined by: Qg = 1 + 0.2 [1 – 2.8 g/D]3 for g/D ≥ 0.05 but ≥ 1.0 Qg = 0.13 + 0.65 φ γ0.5 for g/D ≤ -0.05 where φ = t Fyb/(T Fy) Linear interpolation between the limiting values of the above two Qg expressions may be used for -0.05 < g/D < 0.05. Fyb = yield stress of brace or brace stub if present (or 0.8 times the tensile strength if less), ksi (MPa) (c) The Qu term for tension loading is based on limiting the capacity to first crack. The Qu associated with full ultimate capacity of tension loaded Y and X joints is given in the Commentary. (d) The X joint, axial tension, Qu term for β > 0.9 applies to coaxial braces (i.e. e/D ≤ 0.2 where e is the eccentricity of the two braces). If the braces are not coaxial (e/D > 0.2) then 23β should be used over the full range of β. (e) Where the working points of members at a gap connection are separated by more than D/4 along the chord centerline, or where a connection has simultaneously loaded branch members in more than one plane, the connection may be classified as a general or multi-planar connection, and designed as described in the Commentary.
  • 8. 8 OTC 17236 TABLE 2 API RP 2A TUBULAR STATIC STRENGTH STATISTICS. NEW EDITION 22 vs. PREVIOUS EDITION 21 FOR TEST AND FINITE ELEMENT ANALSIS DATABASES Brace K Joints Loading Statistical Test Database FE Database Parameter Edition 22 Edition 21 Edition 22 Edition 21 Mean Bias 1.34 1.38 1.14 1.18 Balanced Axial COV 0.17 0.18 0.11 0.42 Number 161 440 Mean Bias 1.47 1.29 1.32 0.94 In-Plane Bending COV 0.15 0.09 0.17 0.50 Number 6 242 Mean Bias 1.54 1.15 1.2 0.84 Out-of-Plane Bending COV 0.19 0.14 0.11 0.14 Number 7 306 X Joints Mean Bias 1.17 1.16 1.31 1.47 Axial Compressio COV 0.09 0.11 0.12 1.33 n Number 65 339 Mean Bias 2.40 2.65 Axial COV 0.28 0.54 Tension Number 34 Mean Bias 1.55 1.27 1.35 0.97 In-Plane Bending COV 0.19 0.21 0.11 0.35 N Number 17 40 Mean Bias 1.39 1.13 1.52 0.75 Out-of-Plane Bending COV 0.06 0.20 0.23 0.23 N Number 6 80 Y Joints Mean Bias 1.21 1.45 1.18 1.24 Balanced Axial COV 0.11 0.20 0.14 0.32 Number 64 46 Mean Bias 2.56 3.45 Axial COV 0.29 0.29 Tension Number 16 Mean Bias 1.41 1.00 1.34 0.90 In-Plane Bending COV 0.16 0.32 0.10 0.34 Number 29 18 Mean Bias 1.45 1.07 1.31 0.89 Out-of-Plane Bending COV 0.26 0.26 0.08 0.17 Number 27 18
  • 9. OTC 17236 9 SEE SEC. 3.4 1 1 4 4 D/4 or 12in. (300mm) MIN. SEAM WELD d2 or 24in. 1 (600mm) MIN. 4 2 d GAP 2in. d2 or 24in. (50mm) MIN. (600mm) MIN. CAN GIRTH WELD. d2 /4 or 6in. (150mm) MIN. 1 D 4 1 SEE SEC. 3.4 d1 or 24in. d (600mm) MIN. 4 1 Figure 1. API RP 2A Edition 22, Figure 4.2-2- In-Plane Joint Detailing D X. A M 4 D/ 6in. (150mm) MIN. GAP 2in. (50mm) MIN. d2/4 or 6in. (150mm) MIN. d2 or 24in. (600mm) MIN. d 1 4 1 d2 Figure 2. API RP 2A Edition 22 Figure 4.2-3- Out- of-Plane Joint Detailing
  • 10. 10 OTC 17236 Fig 3 Old API RP 2A Edition 21 Formulation (New API Fig 4.3.2.1) Fig 4 New API RP 2A Edition 22 Formulation (New API FigC4.3.2.2)