Seismic Design of Bolted Connections in Steel Structures—A Critical Assessment of Practice and Research
Abstract
:1. Introduction
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- Offer an overlook about seismic design philosophy, regulations, practice, and research problems;
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- Systematically assess recent relevant research on seismic design of bolted connections;
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- Critically analyse the state of current research, discuss how recent advances can be employed under current and forthcoming design standards and manufacturing capabilities, as well as assess prospective research needs.
2. Methods
3. Practical Seismic Design of Bolted Connections
3.1. Design Philosophy
3.2. Current Standards
3.3. Design Rules and Procedures
Clauses (1) | Step | References |
---|---|---|
A. Dissipative connections | ||
6.5.2 (3), 6.5.5 (6), and 6.5.5 (7) | A.1 Connections’ design should be either supported by experimental testing under cyclic loading or based on existing data (which exactly matches the designed connections). | [2,40,49] |
6.6.4 (2) and 6.7.3 (9) | A.2 Global structural analysis shall be non-linear (pushover or time history). This leads to waiving the response spectra approach or using both (response spectra and non-linear) approaches. Since national annexes usually only provide site-specific spectra, this is usually an issue. | [2,40,49] |
B. Non-dissipative connections | ||
B.1 General rules | ||
6.2 (3), 6.5.2 (4) and 6.5.5 (3) | B.1.1 Connection resistance Rd, as computed to EN 1993-1-8, shall account for an overstrength requirement: Rd ≥ 1.1 γov Rfy Where γov is the overstrength factor, recommended as 1.25 but subjected to national specification Rfy is the plastic resistance of the connected member Hence, Rd ≥ 1.375 Rfy | [2,40,49] |
6.5.5 (5) | B.1.2 Bolts shear resistance shall be 20% higher than its plate bearing resistance. Using EN 1993-1-8 nomenclature: Fv,Rd ≥ 1.2 Fb,Rd Where Fv,Rd is the design shear resistance Fb,Rd is the design bearing resistance (This leads to Fv,Rd ≥ 1.65 Rfy, whereas the design of bolts in shear out of the EN 1998 framework is usually shaped by the inequality Fv,Rd ≥ Fv,Ed, with the design shear force Fv,Ed, ≤ Rfy) | [2,39,40,49] |
Conditions B.1.1 and B.1.2 apply to the design of bolts to shear (Fv,Rd), tension (Ft,Rd) and its interaction as well as the design of plates and members’ parts (flanges, webs, etc.) to bearing (Fb,Rd), punching (Bp,Rd), block tearing (Veff,1,Rd), shear tearing (Veff,2,Rd), gross cross-sectional tension (Npl,Rd), net cross-sectional tension at the perforated sections (Nu,Rd) and local instability in parts subjected to compression or shear. | ||
6.2 (9) and 6.5.5 (4) | B.1.3 Only categories B, C and E preloaded connections are allowed. This limits bolts classes to 8.8 and 10.9 and excludes non-preloaded connections. For categories B and C, slip-resistance is defined in EN 1993-1-8 to serviceability and ultimate, respectively. However, these safety checking conditions are defined to service shear force (Fv,Ed.ser) and design shear force (Fv,Ed). Thus, slip-resistance must be checked to service load combinations or ultimate (including seismic) load combinations and not to connected parts resistance, with overstrength, as in EN 1998-1 clauses. Surfaces’ friction classes should be A or B, in compliance with EN1990-2. Thus, friction coefficient to EN1990-2’s annex G shall not be less than 0.40. | [2,39,40,49,50] |
6.5.5 (6) | B.1.4 Even non-dissipative connections shall be experimentally validated if located in dissipative zones or zones adjacent to dissipative ones. | [2,40,49] |
B.2 Rules for axially loaded connections | ||
B.2.1 Connections with cover-plates with in-plane loading (tension, compression or shear) | ||
6.5.4 (1) and EN 1993-1-1 6.2.3 (3) | B.2.1.1 The net cross-sectional tension resistance at the perforated sections (Nu,Rd) shall exceed the gross cross-sectional tension resistance (Npl,Rd), therefore: Nu,Rd > Npl,Rd Hence, 0.9 Anet fu/γM2 > A fy/γM0 With: Anet the net cross-sectional area fu ultimate stress fy yield stress γM0 is a safety partial factor, recommended as 1.00 but subjected to national specification γM2 is a safety partial factor, recommended as 1.25 but subjected to national specification Therefore, 0.72 Anet fu > A fy, or Anet/A > fy/(0.72 fu) | [2,38,40,49,51,52,53] |
B.2.1.2 The relation between flanges and webs’ cover-plates sectional area should be kept proportional to the relation between flanges and webs sectional area. Moreover, cover-plates should not have very disproportionate sectional areas when connecting the same part (flange, web, etc.) | [2] | |
EC3-1-8 Table 3.4 | B.2.1.3 Bearing resistance per bolt, Fb,Rd, shall be computed according to EC3-1-8. This capacity should comply with the condition defined in B.1.1, which is much more demanding than simply assuring that resistance exceeds the bearing capacity, as defined in EC3-1-8. As defined in the standard Fb,Rd = k1 ab fu d t/γM2 with the design factors k1 and ab, fu the plate ultimate stress, d the hole diameter and t the plate thickness. Oversized and slotted holes may be used, at the cost of a capacity reduction. | [39,54,55] |
EC3-1-8 Table 3.4, EC3-1-8 3.6.1 (12), EC3-1-8 3.8 (1) | B.2.1.4 Shear resistance per bolt, Fv,Rd, shall be computed according to EC3-1-8. Conditions in B.1.1 and B.1.2 shall be accounted for and determine the required shear resistance. As defined in the standard Fv,Rd = αv fub A/γM2 with the design factor αv, fub the bolt ultimate stress and A the bolt net area. The following capacity reductions apply:
| [39,54,55] |
EC3-1-8 Table 3.4, EC3-1-8 Table 3.7, EC3-1-8 3.9.1 (1), EC3-1-8 3.9.1 (2) | B.2.1.5 As expressed in B.1.3 service shear force, Fv,Ed.ser, and design shear force, Fv,Ed, shall comply with the inequality Fv,Ed,Ser < Fs,RD,ser for Class B connections and Fv,Ed < Fs,Rd for class C connections. For this particular case, internal forces can be attained from serviceability and design load combinations, according to the designers’ choice for class B or C connections. Resistance formulae can be found in EC3-1-8, as: Fs,Rd,ser = ks n μ 0.7 fub As/γM3,ser Fs,Rd = ks n μ 0.7 fub As/γM3 Where ks is a design factor of 1.00 for normal holes, μ is the slip factor, n is the number of friction surfaces, As is the bolt area, and γM3 and γM3,ser are safety factors. The latter must be nationally defined, but recommended as 1.25 and 1.10, respectively. | [39,54,55] |
EC3-1-8 3.10.2 (2), EC3-1-8 3.10.2 (3), | B.2.1.6 Block tearing, Veff,1,Rd, and shear tearing, Veff,2,Rd, resistances should be assessed according to EC3-1-8 formulae and compared with the plates required resistance according to B.1.1. The following expression should be used: Veff,1,Rd = fu Ant/γM2 + (1/√3) fy Anv/γM0 Veff,2,Rd = 0.5 fu Ant/γM2 + (1/√3) fy Anv/γM0 With Ant the net area under tension and Anv the net area under shear forces. | [39,54,55] |
EC3-1-8 Table 3.3, EC3-1-1 6.3.1 and EC3-1-5 5 | B.2.1.7 Plates under compression and shearing stresses should be analysed for its stability. EC3-1-8 specifies prescriptive measures to avoid local buckling. Those can be found in Table 3.3 maximum distances for bolted plates and slenderness relations for avoiding local buckling. For slender parts and plates, and especially for gousset plates in connections for axially loaded elements, buckling shall be computed to EC3-1-1 and EC3-1-5 formulae. However, the case of gousset plates frequently requires more than following the Eurocodes. For such an end, the modified Thornton method can be employed, and its application assisted by [56,57,58,59,60,61]. | [38,39,53,54,55,56,57,58,59,60,61,62] |
6.5.5 (2), EC3-1-8 4.5, EC3-1-8 4.7, EC3-1-8 4.10, EC3-1-8 4.11 and EC3-1-8 4.12 | B.2.1.8 Despite the strength requirements systematized in B.1.1, Eurocode 8 recognizes full penetration butt welds as sufficient for fulfilling the overstrength criteria. For the remaining cases, EC3-1-8 rules should be followed for welds design. Welds might not be needed for the most straightforward cover-plates solutions but will be needed if members or plates reinforcement is needed, even in bolted solutions. | [39,40,54,55] |
B.2.2 Connections with end-plates with out-of-plane loading (shear and bending) | ||
EC3-1-8 Table 6.1, EC3-1-8 6.2.4, EC3-1-8 6.2.5, EC3-1-8 6.2.6, EC3-1-8 6.2.7 | B.2.2.1 End plate design shall comply with resistance criteria depicted in B.1.1. Yet, its computation shall encompass the verification of each individual resistance component defined in the EC3-1-8 components method (Table 6.1). The following conditions—B.2.2.2 to B.2.2.6—add to those mentioned herein, for comprehensive formulae. | [39,54,55,63,64] |
EC3-1-8 Table 3.4 | B.2.2.2 Bolts tension resistance, Ft,Rd, should be assessed according to the following EC3-1-8 expression: Ft,Rd = k2 fub As/γM2 with k2 = 0.9, except for countersunk bolts, for which k2 = 0.63 applies. | [39,54,55] |
EC3-1-8 Table 3.4 | B.2.2.3 Punching shear resistance, Bp,Rd, is also to be determined according to EC3-1-8 and compared with the tension force at each bolt, accounting for the Eurocode 8 resistance requirements. The following expression must be used: Bp,Rd = 0.6 π dm tp fu/γM2, where dm is the smaller value among bolt head and nut average points and flats diameters. | [39,54,55] |
B.2.2.4 Similar to B.2.1.4 | ||
EC3-1-8 Table 3.4, EC3-1-8 3.9.2 (1) | B.2.2.5 Tension–shear interaction should be assessed both for ultimate and slippage conditions. The former can be evaluated with the assistance of the following equation: Fv,Ed/Fv,Rd + Ft,Ed/(1.4 Ft,Rd) ≤ 1 Concerning slippage subjected to tension forces, Fs,Rd,ser and Fs,Rd can be re-written in the following form: Fs,Rd,ser = ks n μ (0.7 fub As − 0.8 Ft,Ed,ser)/γM3,ser for class B connections Fs,Rd = ks n μ (0.7 fub As − 0.8 Ft,Ed)/γM3 for class C connections | [39,54,55] |
B.2.2.6 Similar to B.2.1.8 | ||
B.3 Rules for connections subjected to bending | ||
B.3.1 General rules for connections in beams | ||
6.6.4 (3), 6.6.4 (4) and 6.6.4 (5) | B.3.1.1 The influence of connections behaviour upon the beam must be controled so that beams plastic rotation, θp, shall not be less than 0.035 radians for DCH structures or 0.025 radians for DCM structures. Rotation capacity is defined as θp = 2 δ/L, with δ the beams’ mid-span deflection and L its span. Moreover, the deflection term shall be computed in such a way that columns elastic deformation contribution is not taken into account, columns web panel shear deformation impact upon the deflection value does not exceed 30% of the total deflection and stiffness degradation due to cyclic loading-induced damage does not exceed 20% of the computed deflection. | [40,49] |
B.3.2 Connections with cover-plates with in-plane loading (tension, compression or shear) | ||
The same as B2.1 | ||
B.3.3 Connections with end-plates with out-of-plane loading (shear and bending) | ||
The same as B2.2 | ||
B.3.4 Columns’ web panels | ||
6.6.3 (6), 6.6.3 (7) EN1993-1-8 and EC3-1-5 5 | B.3.4.1 In each column-beam node, columns’ web panel shear resistance Vwp,Rd (as defined in EN1993-1-8), as well as its buckling resistance Vwb,Rd (as defined in EN1993-1-5) shall exceed the design shear force in the web panel, Vwp,Ed. The latter shall be defined in compliance with the adjoining beam or connection plastic bending capacity but need not to account axial and bending stresses in the web panel. This condition is frequently impossible to meet without reinforcing the web panel. Beyond a deeper discussion in [65], Figure 10 shows some practical options to solve the issue. In Figure 10 different arrangements are displayed. All but the second have reinforcement plates in between the columns’ flanges, the second and fourth have welded web panel reinforcement plates, the third option includes “Z” diagonal welded bars and the fifth arrangement has its two node reinforcement plates welded by the tip of column flanges. | [39,40,49,54,55,62,65] |
3.4. Idiosyncrasies and Research Gaps
4. Recent Research on Seismic Design of Bolted Connections
4.1. Bolted Connections in Concentrically X Braced Frames
4.2. Bolted Connections in V Braced Frames
4.3. Bolted Connections in Eccentrically Braced Frames
4.4. Bolted Connections in Moment-Resisting Frames
4.5. Partial Strength and Semi-Rigid Moment Connections
4.6. Slotted-Holes or Slipping Bolted Connections
4.7. Bolted Connections in Dual Systems
4.8. Bolted Connections for Hollow Sections
4.9. Connections in Systems with Supplementary Damping
4.10. Bolted Connections in Reduced Beam Sections
4.11. Replaceable Connections
4.12. Bolted Connections in Self-Centring Systems
4.13. Composite, Hybrid and Complex Connections
4.14. Welded Connections and Welds in Bolted Connections
4.15. Hysteretic Behaviour in Systems with Bolted Connections
4.16. Material Properties and Fatigue Issues in Seismically Loaded Bolted Connections
4.17. Bolted Connections in Cold-formed Steel Sections
5. Discussion on Recent Advances and Research Needed
6. Conclusions
Author Contributions
Funding
Data Availability Statement
Conflicts of Interest
Nomenclature
AISC | American Institute of Steel Construction |
ANSI | American National Standards Institute |
BSL | Japanese Building Standard Law |
CBF | Concentrically Braced Frames |
CEN | European Committee for Standardisation |
CFDST | Concrete Filled Double-skin Steel Tube |
CFST | Concrete Filled Steel Tubular columns |
DBD | Displacement-Based Design |
DCH | High Ductility Class |
DCM | Medium Ductility Class |
DfD | Design for Disassembly |
EBF | Eccentrically Braced Frames |
EC | Elliptical Clearance Method |
ECB | Exposed Column–Base |
EFTA | European Free Trade Association |
EP | End-Plate |
EU | European Union |
FCP | Flange Cover Plates |
FEA | Finite Element Analyses |
HPDF | High-Performance Dissipating Frame |
HSS | High Strength Steel |
HSS | High Strength Strands |
HSS | Hollow Structural Sections |
IBC | International Building Code |
IDA | Incremental Dynamic Analyses |
IFBD | Improved Force-Based Design |
IMK | Ibarra–Medina–Krawinkler model |
IV-CBF | Concentrically Braced Frames with Inverted-V Braces |
KBF | K Braced Frames |
LCF | Low-cycle Fatigue |
LYP | Low Yield Point steel |
MDOF | Multiple Degree of Freedom |
MRF | Moment Resisting Frames |
N-CBF | Concentrically Braced Frames with N Braces |
NBC | National Building Code |
PBCSC | Prefabricated Beam-Column Steel Connections |
PBCSJ | Prefabricated Beam-Column Steel Joints |
PBSD | Performance-Based Seismic Design |
PEF | Post-Earthquake Fire |
PR | Partially Restrained connections |
PSJ | Prefabricated Steel Joint |
PT | Post-Tensioned |
PTFE | Polytetrafluoroethylene |
PTHSS | Post-Tensioned High Strength Strands |
RBS | Reduced Beam Section |
RFCS | Research Fund for Coal and Steel |
RSBC | Rotational Slotted Bolted Connections |
RSM | Response Surface Methodology |
SBC | Slotted Bolted Connections |
SBC | Standard Building Code |
SLC | Standard Linear Clearance Method |
SMA | Shape Memory Alloy |
SRSM | Simplified Response Surface Method |
SSBC | Shear Slotted Bolted Connections |
SSL-SSBC | Short Shear Link with Shear Slotted Bolted Connection |
SZBF | Suspended Zipper Braced Frames |
UBC | Uniform Building Code |
ULCF | Ultra-Low Cycle Fatigue |
V-CBF | Concentrically Braced Frames with V Braces |
WUF-W | Welded Unreinforced Flange Web |
X-CBF | Concentrically Braced Frames with X Diagonal Braces |
Z-CBF | Concentrically Braced Frames with Z Braces |
ZBF | Zipper Braced Frames |
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Stage | Included | Excluded |
---|---|---|
5 Identification | 5.1 Mendeley (n = 26, of which 26 were eligible) | |
5.2 Scopus (n = 655, of which 214 were eligible) | ||
5.3 References found in articles (n = 75, of which 43 were eligible) | ||
6 Screening | n = 270 | n = 14 |
7 Sorting | n = 262 | n = 8 |
8 Eligibility | n = 135 | n = 127 |
Steel | Thickness Range | Anet/A ≥ | Allowable Holes ≤ (%) | |
---|---|---|---|---|
EN 10025-2 | S 235 | t ≤ 40 mm | 0.907 | 9.3 |
40 mm < t ≤ 80 mm | 0.829 | 17.1 | ||
S 275 | t ≤ 40 mm | 0.888 | 11.2 | |
40 mm < t ≤ 80 mm | 0.864 | 13.6 | ||
S 355 | t ≤ 40 mm | 0.967 | 3.3 | |
40 mm < t ≤ 80 mm | 0.990 | 1.0 | ||
S 450 | t ≤ 40 mm | 1.111 | - | |
40 mm < t ≤ 80 mm | 1.035 | - | ||
EN 10025-3 | S 275 N/NL | t ≤ 40 mm | 0.979 | 2.1 |
40 mm < t ≤ 80 mm | 0.957 | 4.3 | ||
S 355 N/NL | t ≤ 40 mm | 1.006 | - | |
40 mm < t ≤ 80 mm | 0.990 | 1.0 | ||
S 420 N/NL | t ≤ 40 mm | 1.122 | - | |
40 mm < t ≤ 80 mm | 1.042 | - | ||
S 460 N/NL | t ≤ 40 mm | 1.183 | - | |
40 mm < t ≤ 80 mm | 1.106 | - | ||
EN 10025-4 | S 275 M/ML | t ≤ 40 mm | 1.032 | - |
40 mm < t ≤ 80 mm | 0.984 | 1.6 | ||
S 355 M/ML | t ≤ 40 mm | 1.049 | - | |
40 mm < t ≤ 80 mm | 1.034 | - | ||
S 420 M/ML | t ≤ 40 mm | 1.122 | - | |
40 mm < t ≤ 80 mm | 1.083 | - | ||
S 460 M/ML | t ≤ 40 mm | 1.183 | - | |
40 mm < t ≤ 80 mm | 1.127 | - | ||
EN 10025-5 | S 235 W | t ≤ 40 mm | 0.907 | 9.3 |
40 mm < t ≤ 80 mm | 0.878 | 12.2 | ||
S 355 W | t ≤ 40 mm | 0.967 | 3.3 | |
40 mm < t ≤ 80 mm | 0.950 | 5.0 | ||
EN 10025-6 | S 460 Q/QL/QL1 | t ≤ 40 mm | 1.121 | - |
40 mm < t ≤ 80 mm | 1.111 | - | ||
EN 10210-1 | S 235 H | t ≤ 40 mm | 0.907 | 9.3 |
40 mm < t ≤ 80 mm | 0.878 | 12.2 | ||
S 275 H | t ≤ 40 mm | 0.888 | 11.2 | |
40 mm < t ≤ 80 mm | 0.864 | 13.6 | ||
S 355 H | t ≤ 40 mm | 0.967 | 3.3 | |
40 mm < t ≤ 80 mm | 0.950 | 5.0 | ||
S 275 NH/NLH | t ≤ 40 mm | 0.979 | 2.1 | |
40 mm < t ≤ 80 mm | 0.957 | 4.3 | ||
S 355 NH/NLH | t ≤ 40 mm | 1.006 | - | |
40 mm < t ≤ 80 mm | 0.990 | 1.0 | ||
S 420 NH/NHL | t ≤ 40 mm | 1.080 | - | |
40 mm < t ≤ 80 mm | 1.042 | - | ||
S 460 NH/NLH | t ≤ 40 mm | 1.141 | - | |
40 mm < t ≤ 80 mm | 1.086 | - | ||
EN 10219-1 | S 235 H | t ≤ 40 mm | 0.907 | 9.3 |
S 275 H | t ≤ 40 mm | 0.888 | 11.2 | |
S 355 H | t ≤ 40 mm | 0.967 | 3.3 | |
S 275 NH/NLH | t ≤ 40 mm | 1.032 | - | |
S 355 NH/NLH | t ≤ 40 mm | 1.049 | - | |
S 460 NH/NLH | t ≤ 40 mm | 1.162 | - | |
S 275 MH/MLH | t ≤ 40 mm | 1.061 | - | |
S 355 MH/MLH | t ≤ 40 mm | 1.049 | - | |
S 420 MH/MLH | t ≤ 40 mm | 1.167 | - | |
S 460 MH/MLH | t ≤ 40 mm | 1.205 | - |
Steel | Thickness Range | Anet/A | Allowable Holes (%) | |
---|---|---|---|---|
EN 10025-2 | S 235 | 3 mm < t ≤ 16 mm | 0.907 | 9.3 |
16 mm < t ≤ 40 mm | 0.868 | 13.2 | ||
40 mm < t ≤ 63 mm | 0.829 | 17.1 | ||
63 mm < t ≤ 80 mm | 0.829 | 17.1 | ||
S 275 | 3 mm < t ≤ 16 mm | 0.932 | 6.8 | |
16 mm < t ≤ 40 mm | 0.898 | 10.2 | ||
40 mm < t ≤ 63 mm | 0.864 | 13.6 | ||
63 mm < t ≤ 80 mm | 0.830 | 17.0 | ||
S 355 | 3 mm < t ≤ 16 mm | 1.049 | - | |
16 mm < t ≤ 40 mm | 1.020 | - | ||
40 mm < t ≤ 63 mm | 0.990 | 1.0 | ||
63 mm < t ≤ 80 mm | 0.960 | 4.0 | ||
S 450 | 3 mm < t ≤ 16 mm | 1.136 | - | |
16 mm < t ≤ 40 mm | 1.086 | - | ||
40 mm < t ≤ 63 mm | 1.035 | - | ||
63 mm < t ≤ 80 mm | 0.985 | 1.5 |
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Ribeiro, T.; Bernardo, L.; Carrazedo, R.; De Domenico, D. Seismic Design of Bolted Connections in Steel Structures—A Critical Assessment of Practice and Research. Buildings 2022, 12, 32. https://doi.org/10.3390/buildings12010032
Ribeiro T, Bernardo L, Carrazedo R, De Domenico D. Seismic Design of Bolted Connections in Steel Structures—A Critical Assessment of Practice and Research. Buildings. 2022; 12(1):32. https://doi.org/10.3390/buildings12010032
Chicago/Turabian StyleRibeiro, Tiago, Luís Bernardo, Ricardo Carrazedo, and Dario De Domenico. 2022. "Seismic Design of Bolted Connections in Steel Structures—A Critical Assessment of Practice and Research" Buildings 12, no. 1: 32. https://doi.org/10.3390/buildings12010032
APA StyleRibeiro, T., Bernardo, L., Carrazedo, R., & De Domenico, D. (2022). Seismic Design of Bolted Connections in Steel Structures—A Critical Assessment of Practice and Research. Buildings, 12(1), 32. https://doi.org/10.3390/buildings12010032