AISC Live Webinar Webinar May 23, 2013
Fatigue of Welded Connections A Primer, Part I
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AISC Live Webinar Webinar May 23, 2013
Fatigue of Welded Connections A Primer, Part I
AISC Live Webinars
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Course Description
May 23, 2013 – Fatigue of Welded Welded Connections: Connections: A Primer, Part I Using AISC 360 Appendix 3, this live webinar examines the basic concepts behind fatigue including the definition, application and causation; as well as welded connections and variables affecting fatigue. The presentation then reviews the aspects of the design model including fatigue testing, categories of connection details and predictive model.
© The American Institute of Steel Construction 2013
Learning Objectives
• To learn and understand understand the the provisions provisions included included in Appendix 3 of the 201 AISC Specification for Structural Steel Buildings. • To learn and understand understand the the concepts concepts behind behind the fatigue design design requirements. • Become familiar with with fatigue fatigue testing, testing, categories categories of connection connection details and predictive models.
Fatigue of Welded Connections: A Primer, Primer, Part I written and presented by Duane K. Miller, Sc. D., P.E. Manager, Engineering Services, The Lincoln Electric Company, Cleveland, OH.
• To understa understand nd the implemen implementati tation on of the fatigue fatigue design design requirements for welded connections.
8
American American Institute Institute of Steel Steel Constructio Construction n
AISC Live Webinar Webinar May 23, 2013
Fatigue of Welded Connections A Primer, Part I
Fatigue of Welded Connections: A Primer
Fatigue of Welded Connections: A Primer
This session is specifically geared toward Engineers and Contractors involved with bridge construction, but is equally applicable to individuals involved with the design and fabrication of crane girders and supports, and other weldments subject to cyclic loading.
The basic concepts behind fatigue-resistant steel structures are considered, explaining the interrelated variables of stress range, connection geometry and the expected life of the welded connection. The role of dead load stress versus live load stress are discussed, as are the variable of weld quality and steel strength.
Fatigue of Welded Connections: A Primer
Fatigue of Welded Connections: A Primer
Using AISC 360 Appendix 3, weld geometries are considered considered in detail w ith a practical focus on how to increase the fatigue resistance of welded connections.
American American Institute Institute of Steel Steel Constructio Construction n
Fatigue enhancement methods are presented. The role of material toughness on fatigue life is discussed. Case studies, including the bad and ugly, are presented.
AISC Live Webinar Webinar May 23, 2013
Fatigue of Welded Connections A Primer, Part I
AISC 360-10 SPECIFICATION
AISC 360-10 SPECIFICATION For Structural Steel Buildings
APPENDIX 3 DESIGN FOR FATIGUE
14
Fatigue of Welded Connections: A Primer
Fatigue of Welded Connections: A Primer
1. Backgr Backgroun ound d and and Theory Theory
1. Backgr Backgroun ound d and and Theory Theory
2. Desi Design gn Mode Modell
• Definition
3. Design Design and Constructi Construction on Details Details
• Applications
4. Fatigu Fatigue e Enhanc Enhanceme ement nt
• Causation
5. Exampl Examples: es: Good Good,, Bad and Ugly Ugly
• Weld Welded ed Conn Connec ecti tion ons s • Varia ariable bles s Aff Affec ectin ting g Fati Fatigu gue e
American American Institute Institute of Steel Steel Constructio Construction n
AISC Live Webinar May 23, 2013
Fatigue of Welded Connections A Primer, Part I
AISC 360-10 SPECIFICATION
GLOSSARY
Fatigue. Limit state of crack initiation and growth resulting from repeated application of live loads.
17
18
AISC 360-10 SPECIFICATION
FRACTURE and FATIGUE CONTROL in STRUCTURES
APPENDIX 3 “Fatigue is the process of cumulative damage in a benign environment that is caused by repeated fluctuating loads and, in the presence of an aggressive environment, is known as corrosion fatigue .”
DESIGN FOR FATIGUE This appendix applies to members and connections subject to high cycle loading within the elastic range of stresses of frequency and magnitude sufficient to initiate cracking and progressive failure, which defines the limit state of fatigue . User Note: See AISC Seismic Provisions for Structural Steel Buildings for structures subject to seismic loads .
Barsom and Rolfe
19
American Institute of Steel Construction
Elastic, high cycle loading
20
AISC Live Webinar May 23, 2013
Fatigue of Welded Connections A Primer, Part I
AISC 360-10 SPECIFICATION
AISC 360-10 SPECIFICATION
APPENDIX 3
APPENDIX 3 Commentary
DESIGN FOR FATIGUE 3.1. GENERAL PROVISIONS 3.1. GENERAL PROVISIONS (cont’d)
In general, members or connections subject to less than a few thousand cycles of loading will not constitute a fatigue condition except possibly for cases involving full reversal of loading and particularly sensitive categories of details. This is because the applicable cyclic allowable stress range will be limited by the static allowable stress.
No evaluation of fatigue resistance of members consisting of shapes or plate is required if the number of cycles of application of live load is less than 20,000.
21
AISC 360-10 SPECIFICATION
Not for low cycle loading
22
AISC 360-10 SPECIFICATION
APPENDIX 3
APPENDIX 3 Commentary
DESIGN FOR FATIGUE ….Issues of fatigue are not normally encountered in building design; however, when encountered and if the severity is great enough, fatigue is of concern and all provisions of Appendix 3 must be satisfied.
This appendix applies to members and connections subject to high cycle loading within the elastic range of stresses of frequency and magnitude sufficient to initiate cracking and progressive failure, which defines the limit state of fatigue. User Note: See AISC Seismic Provisions for Structural Steel Buildings for structures subject to seismic loads. Not for seismic loading
American Institute of Steel Construction
23
Not for typical building design
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AISC Live Webinar May 23, 2013
Fatigue of Welded Connections A Primer, Part I
Crane Supports
Reciprocating Machinery Supports
25
AISC 360-10 SPECIFICATION
26
Bridges
CHAPTER J DESIGN OF CONNECTIONS J1.10 Limitations on Bolted and Welded Connections Joints with pretensioned bolts or welds shall be used for the following connections: (3) In all structures carrying cranes of over 5 ton (50 kN) capacity; ....and crane supports (4) Connections for the support of machinery and other live loads that produce impact or reversal of load. 27
American Institute of Steel Construction
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AISC Live Webinar May 23, 2013
Fatigue of Welde
Bridges
What is fatigue?
AISC 360-10 SPECIFICATION
Fatigue
APPENDIX 3 DESIGN FOR FATIGUE
Fatigue is the result of repeated plastic deformation.
3.1. GENERAL PROVISIONS (cont’d) The provisions of this Appendix apply to stresses calculated on the basis of service loads. The maximum permitted stress due to service loads is 0.66F y.
AISC Live Webinar May 23, 2013
Fatigue of Welded Connections A Primer, Part I
DEFORMATION AND FRACTURE MECHANICS OF ENGINEERING MATERIALS
FRACTURE and FATIGUE CONTROL in STRUCTURES
“Fatigue damage of components subjected to normally elastic stress fluctuations occurs at regions of stress (strain) raisers where the localized stress exceeds the yield stress of the material. After a certain number of load fluctuations, the accumulated damage causes the initiation and subsequent propagation of a crack, or cracks, in the plastically damaged regions.”
“It is important to recognize that fatigue damage will occur only when cyclic plastic strains are generated. This basic rule should not be construed as a “security blanket” whenever nominal applied stresses are below the material yield strength, since stress concentrations readily elevate local stresses and associated strains into the plastic range.”
Barsom and Rolfe
Richard W. Hertzberg
33
34
75
Plastic ) i s k (
s s e r t S
50
30 kips 1”
25
Elastic
1”
0
nominal
Strain American Institute of Steel Construction
35
= P/A = 30 kips/1 in 2 = 30 ksi 36
AISC Live Webinar May 23, 2013
Fatigue of Welded Connections A Primer, Part I
75
Stress Concentrator (kt) ) i s k (
50
s s e r t S
kt = 2
30 kips Nominal Design Stress: 30 ksi (60% of yield)
25
1”
1”
0
kt = Strain
maximum/
nominal
=
max/
nom
37
38
75
Stress Concentrator (kt) ) i s k (
kt = 2
30 kips
1”
s s e r t S
50
25
max
= 60 ksi
Nominal Design Stress: 30 ksi (60% of yield)
1”
kt = 2 =
max
/ 30
max
0
= 60 ksi 39
American Institute of Steel Construction
Strain
40
AISC Live Webinar May 23, 2013
Fatigue of Welded Connections A Primer, Part I
Residual Stresses
FRACTURE and FATIGUE CONTROL in STRUCTURES
“Welding technology is complex and fabrication by welding encompasses characteristics that should be understood to different levels by the design engineer, the fabricator, and the welder. Some of these characteristics pertinent to the present discussion are residual stresses, imperfections, and stress concentrations.” Barsom and Rolfe
41
Residual Stresses
American Institute of Steel Construction
Residual Stresses
AISC Live Webinar May 23, 2013
Fatigue of Welded Connections A Primer, Part I
Residual Stresses
Residual Stresses
Residual Stresses
FRACTURE and FATIGUE CONTROL in STRUCTURES
MPa
36 Ksi, 250 MPa
50 Ksi, 350 MPa
100 Ksi, 690 MPa
690
350
0
47 From “Economical and Fatigue Resistant Steel Bridge Details, National Highway Institute Course No. 13049
American Institute of Steel Construction
“Welding technology is complex and fabrication by welding encompasses characteristics that should be understood to different levels by the design engineer, the fabricator, and the welder. Some of these characteristics pertinent to the present discussion are residual stresses, imperfections, and stress concentrations.” Barsom and Rolfe
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AISC Live Webinar May 23, 2013
Fatigue of Welded Connections A Primer, Part I
Imperfections
Imperfections
Crack in Weld
Crack in Heat Affected Zone (HAZ)
49
50
Imperfections
Imperfections
Incomplete Joint Penetration in CJP
Incomplete Joint Penetration in CJP
51
American Institute of Steel Construction
52
AISC Live Webinar May 23, 2013
Fatigue of Welded Connections A Primer, Part I
Imperfections
Imperfections
Incomplete Fusion
Porosity
53
54
Imperfections
Imperfections
Slag Inclusions
Undercut
55
American Institute of Steel Construction
56
AISC Live Webinar May 23, 2013
Fatigue of Welded Connections A Primer, Part I
Stress Concentrations
FRACTURE and FATIGUE CONTROL in STRUCTURES
Weld Toes “Welding technology is complex and fabrication by welding encompasses characteristics that should be understood to different levels by the design engineer, the fabricator, and the welder. Some of these characteristics pertinent to the present discussion are residual stresses, imperfections, and stress concentrations.” Barsom and Rolfe
57
58
Stress Concentrations
Stress Concentrations
Unfused Root of Single Sided PJP Groove Weld
Unfused Root of Double Sided PJP Groove Weld
59
American Institute of Steel Construction
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AISC Live Webinar May 23, 2013
Fatigue of Welded Connections A Primer, Part I
Stress Concentrations
Stress Concentrations
Weld Toes and Weld Roots in Cruciform Joints
tp
Width Transitions in Butt Joints
2a 62 61
Stress Concentrations
Stress Concentrations
Ends of Intermittent Fillet Welds
Ends of Fillet Welds at Partial Length Cover Plates
63
American Institute of Steel Construction
64
AISC Live Webinar May 23, 2013
Fatigue of Welded Connections A Primer, Part I
AISC 360-10 SPECIFICATION
AISC 360-10 SPECIFICATION
APPENDIX 3
APPENDIX 3 Commentary
DESIGN FOR FATIGUE 3.5. GENERAL PROVISIONS 3.1. GENERAL PROVISIONS (cont’d)
Extensive test programs using full-size specimens, substantiated by theoretical stress analysis, have confirmed the following general conclusions (Fisher et al., 1970; Fisher et al., 1974):
Stress range is defined as the magnitude of the change in stress due to the application or removal of the service live load.
(1) Stress range and notch severity are the dominant stress variables for welded details and beams; 65
66
Stress Range
max
-
s s e r t S d e i l p p A
min
total load
max. stress, σmax
Stress range, min. stress, σmin “live” load
“dead” load
Time 67
American Institute of Steel Construction
68
AISC Live Webinar May 23, 2013
15
Fatigue of Welded Connections A Primer, Part I
Complete Reversal
) i s 10 k ( s s 5 e r t S d 0 e i l p p A- 5
20
max. stress, σmax
Stress range, min. stress, σmin
-10
=
max –
min
max. stress, σmax
Stress range, min. stress, σmin
=
= 5 – (-5) = 10 ksi 69
Time
Tensile to Full Tensile
) i s 20 k ( s s 15 e r t S d10 e i l p p A 5
-10
max. stress, σmax
Stress range, min. stress, σmin
max –
min
= 10 – 0 = 10 ksi 70
Time
10
0
-5
) i s 15 k ( s s 10 e r t S d 5 e i l p p A 0 -5
-15
25
Zero to Full Tensile
Compression Only
) i s 5 k ( s s 0 e r t S d- 5 e i l p p A-10
max. stress, σmax
Stress range, min. stress, σmin
-15
=
max –
min
= 15 – 5 = 10 ksi
Time
American Institute of Steel Construction
71
= -20
max –
Time
min
= 0 – (-10) = 10 ksi 72
AISC Live Webinar May 23, 2013
Fatigue of Welded Connections A Primer, Part I
5 0
AISC 360-10 SPECIFICATION Stress range,
= 10 ksi
-5
APPENDIX 3 Commentary 10 5
Stress range,
= 10 ksi
3.5. GENERAL PROVISIONS
0
Extensive test programs using full-size specimens, substantiated by theoretical stress analysis, have confirmed the following general conclusions (Fisher et al., 1970; Fisher et al., 1974):
15 10
Stress range,
= 10 ksi
5 0
(1) Stress range and notch severity are the dominant stress variables for welded details and beams;
0 -5
Stress range,
= 10 ksi
-10
74
Residual Stresses: Before Welding
FRACTURE and FATIGUE CONTROL in STRUCTURES
“Welding technology is complex and fabrication by welding encompasses characteristics that should be understood to different levels by the design engineer, the fabricator, and the welder. Some of these characteristics pertinent to the present discussion are residual stresses, imperfections, and stress concentrations.” Barsom and Rolfe
75
American Institute of Steel Construction
AISC Live Webinar May 23, 2013
Fatigue of Welded Connections A Primer, Part I
Residual Stresses: After Welding
Residual Stresses: Tensile Load Applied
Residual Stresses: Tensile Load Removed—Some Stress Reduction
Residual Stresses: After Welding
American Institute of Steel Construction
AISC Live Webinar May 23, 2013
Fatigue of Welded Connections A Primer, Part I
Residual Stresses: Compressive Load Applied
Residual Stresses: Compressive Load Removed—No Reduction
Complete Reversal
Zero to Full Tensile
y
y
s s e r t S
s s e r t S
0
0 Time
Time 83
American Institute of Steel Construction
84
AISC Live Webinar May 23, 2013
Fatigue of Welded Connections A Primer, Part I
Tensile to Full Tensile
Compression Only
y
y
s s e r t S
s s e r t S
0
0 Time
Time 85
86
AISC 360-10 SPECIFICATION
APPENDIX 3 Commentary 3.5. GENERAL PROVISIONS Extensive test programs using full-size specimens, substantiated by theoretical stress analysis, have confirmed the following general conclusions (Fisher et al., 1970; Fisher et al., 1974): (1) Stress range and notch severity are the dominant stress variables for welded details and beams; 87
American Institute of Steel Construction
88
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Fatigue of Welded Connections A Primer, Part I
AISC 360-10 SPECIFICATION
Effect of Minimum Stress, Maximum Stress
APPENDIX 3 Commentary a P M100 e g n a R s s e r t S
2) Other variables such as minimum stress, mean stress and maximum stresses are not significant for design purposes; and 3) Structural steels with a specified minimum yield stress of 36 to 100 ksi (250 to 690 MPa) do not exhibit significantly different fatigue strengths for given welded details fabricated in the same manner.
i
10
e g n a R s s e r t S
s 14.5 k
Minimum Stress ksi [MPa]
Welded
Rolled
Maximum Stress
5
(at 14.5 ksi [100 MPa])
- 6 [-41.4]
+8.5 [58.6]
2 [13.8]
+16.5 [113.8]
10 [68.9]
+24.5 [168.9]
10
1.4
0.1
89
20
1.0
Cycles x
AISC 360-10 SPECIFICATION
10 6
10 Adapted from “A Fatigue Primer for Structural Engineers” by Fisher, Kulak, Smith, published by NSBA
Effect of Base Metal Strength
APPENDIX 3 Commentary a P M100 e g n a R s s e r t S
2) Other variables such as minimum stress, mean stress and maximum stresses are not significant for design purposes; and 3) Structural steels with a specified minimum yield stress of 36 to 100 ksi (250 to 690 MPa) do not exhibit significantly different fatigue strengths for given welded details fabricated in the same manner.
American Institute of Steel Construction
i
10
e g n a R s s e r t S
s 14.5 k
Steel
5
A 36
36 ksi [250 MPa]
A441
50 ksi [350 MPa]
A514
100 ksi [690 Mpa]
10 91
20
1.4
0.1
1.0
Cycles x
10 6
10 Adapted from “A Fatigue Primer for Structural Engineers” by Fisher, Kulak, Smith, published by NSBA
AISC Live Webinar May 23, 2013
Fatigue of Welded Connections A Primer, Part I
Lower Yield Steel
Higher Yield Steel y
y
s s e r t S
s s e r t S
0
0 Time
Time 93
s s e r t S d e i l p p A
Fatigue of Welded Connections: A Primer
Higher strength steel will not allow for greater “live loads”
1. Background and Theory: SUMMARY
total load
max. stress, σmax
Stress range, min. stress, σmin “live” load
“dead” load
Time
94
Higher strength steel will allow for greater 95 “dead loads”
American Institute of Steel Construction
AISC Live Webinar May 23, 2013
Fatigue of Welded Connections A Primer, Part I
FRACTURE and FATIGUE CONTROL in STRUCTURES
FRACTURE and FATIGUE CONTROL in STRUCTURES
“Fatigue damage of components subjected to normally elastic stress fluctuations occurs at regions of stress (strain) raisers where the localized stress exceeds the yield stress of the material. After a certain number of load fluctuations, the accumulated damage causes the initiation and subsequent propagation of a crack, or cracks, in the plastically damaged regions.”
“Welding technology is complex and fabrication by welding encompasses characteristics that should be understood to different levels by the design engineer, the fabricator, and the welder. Some of these characteristics pertinent to the present discussion are residual stresses, imperfections, and stress concentrations.” Barsom and Rolfe
Barsom and Rolfe
97
AISC 360-10 SPECIFICATION
AISC 360-10 SPECIFICATION
APPENDIX 3 Commentary
APPENDIX 3 Commentary
2) Other variables such as minimum stress, mean stress and maximum stresses are not significant for design purposes; and
3.5. GENERAL PROVISIONS Extensive test programs using full-size specimens, substantiated by theoretical stress analysis, have confirmed the following general conclusions (Fisher et al., 1970; Fisher et al., 1974):
3) Structural steels with a specified minimum yield stress of 36 to 100 ksi (250 to 690 MPa) do not exhibit significantly different fatigue strengths for given welded details fabricated in the same manner.
(1) Stress range and notch severity are the dominant stress variables for welded details and beams; 99
American Institute of Steel Construction
98
100
AISC Live Webinar May 23, 2013
Fatigue of Welded Connections A Primer, Part I
Fatigue of Welded Connections: A Primer
Fatigue of Welded Connections: A Primer
1. Background and Theory
2. Design Model
2. Design Model
• Fatigue Testing
3. Design and Construction Details
• Categories of Connection Details
4. Fatigue Enhancement
• Predictive Model
5. Examples: Good, Bad and Ugly
• Special Categories: C’ and C”
Full Scale Fatigue Tests
103
American Institute of Steel Construction
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Fatigue of Welded Connections A Primer, Part I
90o
45o
22 1/2o 11 1/4o
Number of Cycles to Failure 105
106
Two standard deviations e g n a R s s e r t S g o L
Mean Regression Line
e g n a R s s e r t S g o L
(95% confidence intervals)
97.5% above this line Threshold value
Log Number of Cycles to Failure
Log Number of Cycles to Failure 107
American Institute of Steel Construction
108
AISC Live Webinar May 23, 2013
Fatigue of Welded Connections A Primer, Part I
Effect of Details
e g n a R s s e r t S g o L
a P M100 e g n a R s s e r t S
Design Curve
20
i
10
e g n a R s s e r t S
s 14.5 k
Detail
5
Welded Beams Welded beams with end welded cover plates
Log Number of Cycles to Failure
10
1.4
0.1
109
1.0
Cycles x
10
10 6
Adapted from “A Fatigue Primer for Structural Engineers” by Fisher, Kulak, Smith, published by NSBA
UNWELDED STEEL
A
B
C
D
E
F
111
American Institute of Steel Construction
A
B
C
D
E
F
112
AISC Live Webinar May 23, 2013
Fatigue of Welded Connections A Primer, Part I
Category B Details
CJP Flange Splice Longitudinal Fillet Longitudinal CJP
A
B
C
D
113
E
F
114
Category C Details
A
B
C
D
E
F
115
American Institute of Steel Construction
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Fatigue of Welded Connections A Primer, Part I
Category E Details
C o v e r p l a t e d B e a m
T r a n s v e r s e S t i f f e n e r
A
B
D
C
E
117
118
) i100 s k ,
) i100 s k ,
R S
( e g n a R10 s s e r t S g o L 1
3 1
R S
( e g n a R10 s s e r t S g o L 1
Category A Category B
Category F
Category C Category D Category E
20x103
105
106
107
108
Log Number of Cycles (N)
Category A Category B
Category F
1
Category C
6
Category D Category E
20x103
105
106
107
108
Log Number of Cycles (N) 119
American Institute of Steel Construction
F
120
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Fatigue of Welded Connections A Primer, Part I
) i100 s k , R S
( e g n a R10 s s e r t S g o L 1
Category B Category B’ Category C
Category F Category G
Category D Category E Category E’
A 20x103
105
106
107
C o v e r p l a t e d B e a m
T r a n s v e r s e S t i f f e n e r
Category A
B
C
D
E
F
108
Log Number of Cycles (N) 121
122
AISC 360-10 SPECIFICATION
APPENDIX 3 DESIGN FOR FATIGUE 3.3. PLAIN MATERIAL AND WELDED JOINTS
A
B
B’
C
D
E
E’
F
G
123
American Institute of Steel Construction
In plain material and welded joints the range of stress at service loads shall not exceed the allowable stress range computed as follows:
124
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Fatigue of Welded Connections A Primer, Part I
AISC 360-10 SPECIFICATION
AISC 360-10 SPECIFICATION where
(a) For stress categories A, B, B ′ , C, D, E and E ′ the allowable stress range, F SR , shall be determined by Equation A-3-1 or A-3-1M, as follows:
C f F SR = n SR
C f = constant from Table A-3.1 for the fatigue category F SR = allowable stress range, ksi (MPa)
0.333
≥ F TH
C f x 329 F SR = nSR
(A-3.1)
F TH = threshold allowable stress range, maximum stress range for indefinite design life from Table A-3.1, ksi (MPa)
0.333
≥ F TH
(S.I.)
nSR = number of stress range fluctuations in design life = number of stress range fluctuations per day × 365 × years of design life
(A-3.1M)
125
AISC 360-10 SPECIFICATION
) i100 s k ,
0.333
≥ F TH
C f x 329 F SR = nSR
(A-3.1)
0.333
≥ F TH
(S.I.)
(A-3.1M)
1
( e g n a R10 s s e r t S g o L 1
Category A Category B Category B’ Category C
Category F Category G
Category D Category E Category E’
20x103
105
106
107
108
Log Number of Cycles (N) 127
American Institute of Steel Construction
3
R S
(a) For stress categories A, B, B ′ , C, D, E and E ′ the allowable stress range, F SR , shall be determined by Equation A-3-1 or A-3-1M, as follows:
C f F SR = n SR
126
128
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Fatigue of Welded Connections A Primer, Part I
AISC 360-10 SPECIFICATION
) i100 s k , R S
(b) For stress category F, the allowable stress range, F SR , shall be determined by Equation A-3-2 or A-3-2M, as follows:
C f F SR = n SR
0.167
≥ F TH
C f (11 x 10 4 ) F SR = n SR
(A-3.2)
0.167
≥ F TH
(S.I.) (A-3.2M)
( e g n a R10 s s e r t S g o L 1
Category A Category B Category F
1
Category B’ Category C
6 Category G
Category D Category E Category E’
20x103
105
106
107
Log Number of Cycles (N) 129
AISC 360-10 SPECIFICATION
130
AISC 360-10 SPECIFICATION
(c) For tension-loaded plate elements connected at their end by cruciform, T or corner details with complete-jointpenetration (CJP) groove welds or partial joint-penetration (PJP) groove welds, fillet welds, or combinations of the preceding, transverse to the direction of stress, the allowable stress range on the cross section of the tensionloaded plate element at the toe of the weld shall be determined as follows:
(a) For stress categories A, B, B ′ , C, D, E and E ′ the allowable stress range, F SR , shall be determined by Equation A-3-1 or A-3-1M, as follows:
C f F SR = n SR
0.333
≥ F TH
C f x 329 F SR = nSR 131
American Institute of Steel Construction
108
(A-3.1)
0.333
≥ F TH
(S.I.)
(A-3.1M)
132
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AISC 360-10 SPECIFICATION
AISC 360-10 SPECIFICATION
SECTION 1—PLAIN MATERIAL AWAY FROM ANY WELDING
SECTION 2—CONNECTED MATERIAL IN MECHANICALLLY FASTENED JOINTS 133
134
SECTION 1
SECTION 2
PLAIN MATERIAL AWAY FROM ANY WELDING
CONNECTED MATERIAL IN MECHANICALLY FASTENED JOINTS
135
American Institute of Steel Construction
136
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SECTION 3
SECTION 4
WELDED JOINTS JOINING COMPONENTS OF BUILT-UP MEMBERS
LONGITUDINAL FILLET WELDED END CONNECTIONS
137
138
SECTION 5
SECTION 6
WELDED JOINTS TRANSVERSE TO DIRECTION OF STRESS
BASE METAL AT WELDED TRANSVERSE MEMBER CONNECTIONS
139
American Institute of Steel Construction
140
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SECTION 7
SECTION 8
BASE METAL AT SHORT ATTACHMENTS
MISCELLANEOUS
141
142
SECTION 1—PLAIN MATERIAL AWAY FROM ANY WELDING
SECTION 1
A
1.1
PLAIN MATERIAL AWAY FROM ANY WELDING
Description: Base metal, except noncoated weathering steel, with rolled or cleaned surface. Flame-cut edges with surface roughness value of 1,000 μin. (25 μm) or less, but without re-entrant corners.
Potential Crack Initiation Point: Away from all welds or structural connections. 143
American Institute of Steel Construction
144
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SECTION 1—PLAIN MATERIAL AWAY FROM ANY WELDING
SECTION 1—PLAIN MATERIAL AWAY FROM ANY WELDING
B
1.2
B
1.3
Description: Noncoated weathering steel base metal with rolled or cleaned surface. Flame-cut edges with surface roughness value of 1,000 μin. (25 μm) or less, but without re-entrant corners.
Description: Member with drilled or reamed holes. Member with re-entrant corners at copes, cuts, block-outs or other geometrical discontinuities made to requirements of Appendix 3, Section 3.5, except weld access holes.
Potential Crack Initiation Point: Away from all welds or structural connections.
Potential Crack Initiation Point: At any external edge or at hole perimeter. 145
146
SECTION 1—PLAIN MATERIAL AWAY FROM ANY WELDING
SECTION 2 C
1.4
CONNECTED MATERIAL IN MECHANICALLY FASTENED JOINTS
Description: Rolled cross sections with weld access holes made to requirements of Section J1.6 and Appendix 3, Section 3.5. Members with drilled or reamed holes containing bolts for attachment of light bracing where there is a small longitudinal component of brace force.
Potential Crack Initiation Point: At reentrant corner of weld access hole or at any small hole (may contain bolt for minor connections).
American Institute of Steel Construction
147
148
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SECTION 2—CONNECT ED MATERIAL IN MECHANICALLY FASTENED JOINTS
SECTION 2—CONNECTE D MATERIAL IN MECHANICALLY FASTENED JOINTS
B
2.1
D
2.3
Description: Gross area of base metal in lap joints connected by high-strength bolts in joints satisfying all requirements for slipcritical connections.
Description: Base metal at the net section of other mechanically fastened joints except eye bars and pin plates.
Potential Crack Initiation Point: Through gross section near hole.
Potential Crack Initiation Point: In net section originating at side of hole. 149
150
SECTION 2—CONNECT ED MATERIAL IN MECHANICALLY FASTENED JOINTS
SECTION 3 E
2.4
WELDED JOINTS JOINING COMPONENTS OF BUILT-UP MEMBERS
Description: Base metal at net section of eyebar head or pin plate.
Potential Crack Initiation Point: In net section originating at side of hole. 151
American Institute of Steel Construction
152
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SECTION 3—WELDED JOINTS JOINING COMPONENTS OF BUILT-UP MEMBERS
SECTION 3—WELDED JOINTS JOINING COMPONENTS OF BUILT-UP MEMBERS
B
3.1
B’
3.2
Description: Base metal and weld metal in members without attachments, built up of plates or shapes connected by continuous longitudinal CJP groove welds, back gouged and welded from second side, or by continuous fillet welds.
Description: Base metal and weld metal in members without attachments, built up of plates or shapes, connected by continuous longitudinal CJP groove welds with backing bars not removed, or by continuous PJP groove welds.
Potential Crack Initiation Point: From surface or internal discontinuities in weld away from end of weld.
Potential Crack Initiation Point: From surface or internal discontinuities in weld, including weld attaching backing bars. 153
154
SECTION 3—WELDED JOINTS JOINING COMPONENTS OF BUILT-UP MEMBERS
SECTION 3—WELDED JOINTS JOINING COMPONENTS OF BUILT-UP MEMBERS
D
3.3
E
3.4
Description: Base metal at weld metal terminations of longitudinal welds at weld access holes in connected built-up members.
Description: Base metal at ends of longitudinal intermittent fillet weld segments.
Potential Crack Initiation Point: From the weld termination into the web or flange.
Potential Crack Initiation Point: In connected materials at start and stop locations of any weld deposit.
155
American Institute of Steel Construction
156
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SECTION 3—WELDED JOINTS JOINING COMPONENTS OF BUILT-UP MEMBERS
SECTION 3—WELDED JOINTS JOINING COMPONENTS OF BUILT-UP MEMBERS
E
3.5a
E’
3.5b
Description: Base metal at ends of partial length welded coverplates narrower than the flange having square or tapered ends, with or without welds across the ends. Coverplates wider than the flange with welds across the ends.
Description: Base metal at ends of partial length welded coverplates narrower than the flange having square or tapered ends, with or without welds across the ends. Coverplates wider than the flange with welds across the ends.
Flange thickness (t f ) < 0.8 in. (20 mm).
Flange thickness (t f ) > 0.8 in. (20 mm).
Potential Crack Initiation Point: In flange at toe of end weld or in flange at termination of longitudinal weld or in edge of flange 157 with wide coverplates.
Potential Crack Initiation Point: In flange at toe of end weld or in flange at termination of longitudinal weld or in edge of flange 158 with wide coverplates.
SECTION 3—WELDED JOINTS JOINING COMPONENTS OF BUILT-UP MEMBERS
SECTION 4 E’
3.6
LONGITUDINAL FILLET WELDED END CONNECTIONS
Description: Base metal at ends of partial length welded coverplates wider than the flange without welds across the ends.
Potential Crack Initiation Point: In edge of flange at end of coverplate weld. 159
American Institute of Steel Construction
160
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SECTION 4—LONGITUDINAL FILLET WELDED END CONNECTIONS
SECTION 4—LONGITUDINAL FILLET WELDED END CONNECTIONS
E
4.1a
E’
4.1b
Description: Base metal at junction of axially loaded members with longitudinally welded end connections. Welds shall be on each side of the axis of the member to balance weld stresses.
Description: Base metal at junction of axially loaded members with longitudinally welded end connections. Welds shall be on each side of the axis of the member to balance weld stresses.
Thickness t < 0.5 in. (12 mm).
Thickness t > 0.5 in. (12 mm).
Potential Crack Initiation Point: Initiating from end of any weld termination extending into the base metal.
Potential Crack Initiation Point: Initiating from end of any weld termination extending into the base metal.
161
162
SECTION 5—WELDED JOINTS TRANSVERSE TO DIRECTION OF STRESS
SECTION 5
B
5.1
WELDED JOINTS TRANSVERSE TO DIRECTION OF STRESS
Description: Weld metal and base metal in or adjacent to CJP groove welded splices in rolled or welded cross sections with welds ground essentially parallel to the direction of stress and with soundness established by RT or UT.
Potential Crack Initiation Point: From internal discontinuities in weld metal or along the fusion boundary. 163
American Institute of Steel Construction
164
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SECTION 5—WELDED JOINTS TRANSVERSE TO DIRECTION OF STRESS
SECTION 5—WELDED JOINTS TRANSVERSE TO DIRECTION OF STRESS
B
5.2a
B’
5.2b
Description: Weld metal and base metal in or adjacent to CJP groove welded splices with welds ground essentially parallel to the direction of stress at transitions in thickness or width made on a slope no greater than 1:2 1/2 and with weld soundness established by RT or UT. Fy < 90 ksi (620 MPa)
Description: Weld metal and base metal in or adjacent to CJP groove welded splices with welds ground essentially parallel to the direction of stress at transitions in thickness or width made on a slope no greater than 1:2 1/2 and with weld soundness established by RT or UT. Fy ≥ 90 ksi (620 MPa).
Potential Crack Initiation Point: From internal discontinuities in weld metal or along fusion boundary.
Potential Crack Initiation Point: From internal discontinuities in weld metal or along fusion boundary or at start of transition when 166 Fy ≥ 90 ksi (620 MPa).
165
SECTION 5—WELDED JOINTS TRANSVERSE TO DIRECTION OF STRESS
SECTION 5—WELDED JOINTS TRANSVERSE TO DIRECTION OF STRESS
B’
5.2b
B
5.3
C
5.4
Description: Weld metal and base metal in or adjacent to the toe of CJP groove welds in T or corner joints or splices, with or without transitions in thickness having slopes no greater than 1:2 1/2. Weld reinforcement is not removed. Weld soundness established by RT or UT.
Potential Crack Initiation Point: From surface discontinuity at toe of weld extending into base metal or into weld metal. 167
American Institute of Steel Construction
168
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SECTION 5—WELDED JOINTS TRANSVERSE TO DIRECTION OF STRESS
SECTION 6 C
5.5a
BASE METAL AT WELDED TRANSVERSE MEMBER CONNECTIONS
Description: Base metal and weld metal at transverse end connections of tension-loaded plate elements using PJP groove welds in butt or T- or corner joints, with reinforcing or contouring fillets. F SR shall be the smaller of the toe crack or root crack allowable stress range. Crack initiating from weld toe. Potential Crack Initiation Point: Initiating from geometrical discontinuity at toe of weld extending into base metal. 169
170
SECTION 6—BASE METAL AT WELDED TRANSVERSE MEMBER CONNECTIONS
SECTION 6—BASE METAL AT WELDED TRANSVERSE MEMBER CONNECTIONS
B
6.1a
C
6.1b
Description: Base metal at details attached by CJP groove welds subject to longitudinal loading only when the detail embodies a transition radius, R, with the weld termination ground smooth and with weld soundness established by RT or UT.
Description: Base metal at details attached by CJP groove welds subject to longitudinal loading only when the detail embodies a transition radius, R, with the weld termination ground smooth and with weld soundness established by RT or UT.
R ≥ 24 in. (600 mm).
24 in. > R ≥ 6 in. (600 mm > R ≥ 150 mm)
Potential Crack Initiation Point: Near point of tangency of radius at edge of member.
Potential Crack Initiation Point: Near point of tangency of radius at edge of member. 171
American Institute of Steel Construction
172
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SECTION 6—BASE METAL AT WELDED TRANSVERSE MEMBER CONNECTIONS
SECTION 6—BASE METAL AT WELDED TRANSVERSE MEMBER CONNECTIONS
D
6.1c
E
6.1d
Description: Base metal at details attached by CJP groove welds subject to longitudinal loading only when the detail embodies a transition radius, R, with the weld termination ground smooth and with weld soundness established by RT or UT.
Description: Base metal at details attached by CJP groove welds subject to longitudinal loading only when the detail embodies a transition radius, R, with the weld termination ground smooth and with weld soundness established by RT or UT.
6 in. > R ≥ 2 in. (150 mm > R ≥ 50 mm)
R < 2 in. (50 mm)
Potential Crack Initiation Point: Near point of tangency of radius at edge of member.
Potential Crack Initiation Point: Near point of tangency of radius at edge of member. 173
SECTION 6—BASE METAL AT WELDED TRANSVERSE MEMBER CONNECTIONS
6.1
174
SECTION 6—BASE METAL AT WELDED TRANSVERSE MEMBER CONNECTIONS
B
6.2a
R ≥ 24 in. (600 mm).
B
24 in. > R ≥ 6 in. (600 mm > R ≥ 150 mm)
C
6 in. > R ≥ 2 in. (150 mm > R ≥ 50 mm)
D
R < 2 in. (50 mm)
E 175
American Institute of Steel Construction
Description: Base metal at details of equal thickness attached by CJP groove welds subject to transverse loading with or without longitudinal loading when the detail embodies a transition radius, R, with the weld termination ground smooth and with weld soundness established by RT or UT. Weld reinforcement is removed. R ≥ 24 in. (600 mm) Potential Crack Initiation Point: Near points of tangency of radius or in the weld or at fusion boundary or member or attachment.
176
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SECTION 6—BASE METAL AT WELDED TRANSVERSE MEMBER CONNECTIONS
SECTION 6—BASE METAL AT WELDED TRANSVERSE MEMBER CONNECTIONS
C
6.2e
D
6.3a
Description: Base metal at details of equal thickness attached by CJP groove welds subject to transverse loading with or without longitudinal loading when the detail embodies a transition radius, R, with the weld termination ground smooth and with weld soundness established by RT or UT. Weld reinforcement is not removed. R ≥ 24 in. (600 mm)
Description: Base metal at details of unequal thickness attached by CJP groove welds subject to transverse loading with or without longitudinal loading when the detail embodies a transition radius, R, with the weld termination ground smooth and with weld soundness established by RT or UT. Weld reinforcement is removed. R > 2 in. (50 mm).
Potential Crack Initiation Point: At toe of the weld either along edge of member or the attachment.
Potential Crack Initiation Point: At toe of weld along edge of thinner material.
177
178
SECTION 6—BASE METAL AT WELDED TRANSVERSE MEMBER CONNECTIONS
6.4a
SECTION 7 D
BASE METAL AT SHORT ATTACHMENTS
Description: Base metal subject to longitudinal stress at transverse members, with or without transverse stress, attached by fillet or partial-joint-penetration groove welds parallel to direction of stress when the detail embodies a transition radius, R, with weld termination ground smooth. R > 2 in. (50 mm). Potential Crack Initiation Point: Initiating in base metal at the weld termination or at the toe of the weld extending into the base 179 metal.
American Institute of Steel Construction
180
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SECTION 7—BASE METAL AT SHORT ATTACHMENTS
SECTION 7—BASE ME TAL AT SHORT ATTACHMENTS
C
7.1a
D
7.1b
Description: Base metal subject to longitudinal loading at details with welds parallel or transverse to the direction of stress where the detail embodies no transition radius and with detail length in direction of stress, a, and thickness of the attachment, b.
Description: Base metal subject to longitudinal loading at details with welds parallel or transverse to the direction of stress where the detail embodies no transition radius and with detail length in direction of stress, a, and thickness of the attachment, b.
a < 2 in. (50 mm)
2 in. (50 mm) ≤ a ≤ 12b or 4 in. (100 mm)
Potential Crack Initiation Point: Initiating in base metal at the weld termination or at the toe of the weld extending into the base 181 metal.
Potential Crack Initiation Point: Initiating in base metal at the weld termination or at the toe of the weld extending into the base 182 metal.
SECTION 7—BASE METAL AT SHORT ATTACHMENTS
7.1c
SECTION 7—BASE ME TAL AT SHORT ATTACHMENTS
E
7.1d
Description: Base metal subject to longitudinal loading at details with welds parallel or transverse to the direction of stress where the detail embodies no transition radius and with detail length in direction of stress, a, and thickness of the attachment, b.
Description: Base metal subject to longitudinal loading at details with welds parallel or transverse to the direction of stress where the detail embodies no transition radius and with detail length in direction of stress, a, and thickness of the attachment, b.
a > 4 in. (100 mm) when b > 0.8 in. (20 mm)
a > 12b or 4 in. (100 mm) when b ≤ 0.8 in. (20 mm)
Potential Crack Initiation Point: Initiating in base metal at the weld termination or at the toe of the weld extending into the base 183 metal.
Potential Crack Initiation Point: Initiating in base metal at the weld termination or at the toe of the weld extending into the base 184 metal.
American Institute of Steel Construction
E’
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SECTION 7—BASE METAL AT SHORT ATTACHMENTS
No attachments
A
7.1
a < 2 in. a < 50mm a < 2 in. (50 mm)
C
2 in. (50 mm) ≤ a ≤ 12b or 4 in. (100 mm)
D
a > 4 in. (100 mm) when b > 0.8 in. (20 mm)
E
a > 12b or 4 in. (100 mm) when b ≤ 0.8 in. (20 mm)
a > 4 in. a > 100mm
a C
a E’
E’ 185
186
SECTION 7—BASE METAL AT SHORT ATTACHMENTS
SECTION 7—BASE ME TAL AT SHORT ATTACHMENTS
D
7.2a
E
7.2b
Description: Base metal subject to longitudinal stress at details attached by fillet or partial-joint-penetration groove welds, with or without transverse load on detail, when the detail embodies a transition radius, R, with weld termination ground smooth.
Description: Base metal subject to longitudinal stress at details attached by fillet or partial-joint-penetration groove welds, with or without transverse load on detail, when the detail embodies a transition radius, R, with weld termination ground smooth.
R > 2 in. (50 mm)
R ≤ 2 in. (50 mm)
Potential Crack Initiation Point: Initiating in base metal at the weld termination, extending into the base metal.
Potential Crack Initiation Point: Initiating in base metal at the weld termination, extending into the base metal. 187
American Institute of Steel Construction
188
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SECTION 8—MISCELLANEOUS
SECTION 8
C
8.1
MISCELLANEOUS
Description: Base metal at steel headed stud anchors attached by fillet or automatic stud welding.
Potential Crack Initiation Point: At toe of weld in base metal. 189
190
SECTION 8—MISCELLANEOUS
SECTION 8—MISCELLANEOUS
F
8.2
Description: Shear on throat of continuous or intermittent longitudinal or transverse fillet welds.
Description: Base metal at plug or slot welds.
Potential Crack Initiation Point: Initiating at the root of the fillet weld, extending into the weld.
Potential Crack Initiation Point: Initiating in the base metal at the end of the plug or slot weld, extending into the base metal.
191
American Institute of Steel Construction
E
8.3
192
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SECTION 8—MISCELLANEOUS
SECTION 8—MISCELLANEOUS
F
8.4
G
8.5
Description: Shear on plug or slot welds.
Description: Snug-tightened high-strength bolts, common bolts, threaded anchor rods, and hanger rods with cut, ground or rolled threads. Stress range on tensile stress area due to live load plus prying action when applicable.
Potential Crack Initiation Point: Initiating in the weld at the faying surface, extending into the weld.
Potential Crack Initiation Point: Initiating at the root of the threads, extending into the fastener. 193
AISC 360-10 SPECIFICATION
(a) For stress categories A, B, B ′ , C, D, E and E ′ the allowable stress range, F SR , shall be determined by Equation A-3-1 or A-3-1M, as follows:
C f F SR = n SR
0.333
≥ F TH
C f x 329 nSR
F SR =
(A-3.1)
0.333
≥ F TH
(S.I.)
(A-3.1M)
195
American Institute of Steel Construction
194
Stress Category
Coefficient Cf
Threshold FTH
A
250 x 108
24
B
108
16
B’
61 x
108
12
C
44 x 108
10
D
22 x 108
7
E
11 x
108
4.5
E’
3.9 x 108
2.6
F
150 x 1010
8
G
108
7
120 x
3.9 x
For Imperial Units (ksi)
196
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DESIGN PROCEDURE
DESIGN PROCEDURE
1. Determine the number of cycles the connection must endure (n sr ). 1, 2 2. Determine the forces on the connection due to live and dead loads.
Note 1:
For n sr < 20,000 cycles, fatigue need not be considered if maximum stress < 0.66 F y.
3. Determine fatigue category from illustration. Find C f coefficient for the fatigue detail.
Note 2:
For n sr = infinite, F SR < FTH
4. Calculate FSR. 5. For all Categories except Category F, for a given live load, select a member geometry that results in a stress range less than F SR. For Category F, modify weld size. 6. Consider alternative connection details with increased fatigue resistance and recalculate F SR.
197
198
DESIGN EXAMPLE 100,000 cycles
1. Determine the number of cycles the connection must endure (n sr ). 1, 2 100,000 cycles
Grade 50
2. Determine the forces on the connection due to live and dead loads. Fdead = - 20 K, Flive = + 80 K
CJP, reinforcement left in place, UT
3. Determine fatigue category from illustration. Find C f coefficient for the fatigue detail. 4. Calculate FSR. Fdead = - 20K
5. For all Categories except Category F, for a given live load, select a member geometry that results in a stress range less than F SR. For Category F, modify weld size. 6. Consider alternative connection details with increased fatigue resistance and recalculate F SR.
American Institute of Steel Construction
R = 1”
Flive = + 80 K
t = 1” W
199
Fmin = - 20 K, Fmax = + 60 K 200
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E
6.2h
t = 1” Grade 50 R = 1”
Fmax = 60 kips tension
Reinforcement left in place
Fmin = 20 kips compression
Weld receives UT
100,000 cycles required
C f F SR = n SR
0.333
≥ F TH 201
202
E
6.2h
Fmax = 60 kips tension Fmin = 20 kips compression
100,000 cycles
11x108 F SR = 3 100x10
t = 1” Grade 50 R = 1” Reinforcement left in place Weld receives UT
100,000 cycles required 0.333
11x108 F SR = 3 100x10
≥ 4.5 203
American Institute of Steel Construction
0.333
≥ 4.5 204
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E
6.2h
Fmax = 60 kips tension Fmin = 20 kips compression 100,000 cycles required
t = 1” Grade 50 R = 1”
t = 1” Grade 50 R = 1”
Fmax = 60 kips tension
Reinforcement Reinforceme nt left in place
Reinforcement Reinforcement left in place place
Fmin = 20 kips compression
Weld receives UT
8 Fmax − Fmin 11x10 F SR = = 3 A 100x10
E
6.2h
Weld receives UT
100,000 cycles required
0.333
8 60 − - 20 11x10 F SR = = 3 A 100x10
≥ 4.5
0.333
≥ 4.5
205
206
E
6.2h
Fmax = 60 kips tension Fmin = 20 kips compression 100,000 cycles required
t = 1” Grade 50 R = 1” Reinforcement Reinforceme nt left in place Weld receives UT
t = 1” Grade 50 R = 1”
Fmax = 60 kips tension
Reinforcement Reinforcement left in place place
Fmin = 20 kips compression
Weld receives UT
100,000 cycles required
80 = 22.17 A
F SR =
80 3 0.333 ≥ 4.5 = (11x10 ) A
F SR =
Amin = 3.6 in2 207
American American Institute Institute of Steel Steel Constructio Construction n
E
4” wide
6.2h
Use 4 in2
208
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Category D
E
4” wide
6.2h
6” > R > 2” Cf = 22 x 10 8 FTH = 7 ksi [48 MPa] t = 1” Grade 50 R = 1”
Fmax = 60 kips tension
Reinforcement Reinforceme nt left in place
Fmin = 20 kips compression
Weld receives UT
100,000 cycles required Static Strength Check:
60 = 15 < 0.66Fy = 0.66(50) = 33 4
F =
OK 209
210
D
6.2h
t = 1” Grade 50 R = 2”
Fmax = 60 kips tension
Reinforcement Reinforceme nt left in place
Fmin = 20 kips compression
Weld receives UT
100,000 cycles required
22x10 F SR = 3 100x10 8
D
6.2h
t = 1” Grade 50 R = 2”
Fmax = 60 kips tension
Reinforcement Reinforcement left in place place
Fmin = 20 kips compression
Weld receives UT
100,000 cycles required
80 = 27.93 A
F SR =
0.333
≥7
Amin = 2.9 in2 211 211
American American Institute Institute of Steel Steel Constructio Construction n
Use 3 in2
212
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Category C
D
3” wide
6.2h
24” 24” > R > 6” Cf = 44 x 10 8 FTH = 10 ksi [69 MPa] t = 1” Grade 50 R = 2”
Fmax = 60 kips tension
Reinforcement Reinforceme nt left in place
Fmin = 20 kips compression
Weld receives UT
100,000 cycles required Static Strength Check:
60 = 20 < 0.66Fy = 0.66(50) = 33 3
F =
OK 213
214
C
6.2h
t = 1” Grade 50 R = 6”
Fmax = 60 kips tension
Reinforcement Reinforceme nt left in place
Fmin = 20 kips compression
Weld receives UT
100,000 cycles required
44x10 F SR = 3 100x10 8
C
2.5” wide
6.2h
t = 1” Grade 50 R = 6”
Fmax = 60 kips tension
Reinforcement Reinforcement left in place place
Fmin = 20 kips compression
Weld receives UT
100,000 cycles required
80 35. 18 =35. A
F SR =
0.333
≥ 10
Amin = 2.27 in2 215
American American Institute Institute of Steel Steel Constructio Construction n
Use 2.5 in2
216
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Category E C
2.5” wide
6.2h
t = 1” Grade 50 R = 6”
Fmax = 60 kips tension
Reinforcement Reinforceme nt left in place
Fmin = 20 kips compression
R = 1”
Weld receives UT
100,000 cycles required Static Strength Check:
60 = 24 < 0.66Fy = 0.66(50) = 33 2.5
F =
W = 4”
OK 217
Category D
218
Category C
R = 2”
W = 3”
W = 2.5” 219
American American Institute Institute of Steel Steel Constructio Construction n
R = 6” 220
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Width of Required Material = 2R + W Category E
Category E 2” > R
Category D
Cf = 11 x 10 8 FTH = 4.5 ksi [31 MPa] 6” = 2(1) + 4
7” CategoryC
= 2(2) + 3
14.5” = 2(6) + 2.5
222
Category E
DESIGN PROCEDURE 1. Determine the number of cycles the connection must endure (n sr ). 1, 2 2. Determine the forces on the connection due to live and dead loads. 3. Determine fatigue category from illustration. Find C f coefficient for the fatigue detail.
R=0
4. Calculate FSR.
The best answer, despite the “poor” Category E detail
5. For all Categories except Category F, for a given live load, select a member geometry that results in a stress range less than F SR. For Category F, modify weld size. W = 4” 223
American Institute of Steel Construction
6. Consider alternative connection details with increased fatigue resistance and recalculate F SR.
224
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Category A
Base metal (except weathering) Maximum roughness of 1000 µin No re-entrant corners
A
B
C
D
E
F
225
226
Category B
Category B
Noncoated weathering base metal
Base metal
Maximum roughness of 1000 µin
Reamed or drilled holes
No re-entrant corners
Copes, cuts, blockouts with large, smooth radius
227
American Institute of Steel Construction
228
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Category B
Category B
CJPs with no reinforcement, no backing, no tabs Slip critical bolted connections
UT or RT inspected
Same as above but with width or thickness transitions of 2.5:1 Continuous longitudinal CJPs and fillets 229
Category B
Category C
Weld access hole in rolled section CJPs with no reinforcement, no backing, no tabs UT or RT inspected R > 24”
CJPs with reinforcement, no backing, no tabs 231
American Institute of Steel Construction
UT or RT inspected
232
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Category C
Category C
Transverse fillet welds—cracking at toes
Short attachments a < 2”
CJPs with no reinforcement, no backing, no tabs UT or RT inspected 24” > R > 6”
Welded shear studs 233
Category D
234
Category E
Eye bars
235
American Institute of Steel Construction
236
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Category E
Category E
Ends of axially loaded members with longitudinal fillet welds
Intermittent fillet welds
CJPs with no reinforcement, no backing, no tabs UT or RT inspected
Ends of partial length coverplates 237
Category E
R < 2”
238
Category F
Shear on continuous PJP or fillet weld throat Base metal at plug or slot welds
Shear on plug or slot weld 239
American Institute of Steel Construction
240
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Category D
Category D
CJPs with no reinforcement, no backing, no tabs Snug tightened bolts, rivets
UT or RT inspected 6” > R > 2”
Weld access holes in build-up sections
Intermediate length attachments: 2” < a < 4”
241
242
FRACTURE and FATIGUE CONTROL in STRUCTURES
“Welding technology is complex and fabrication by welding encompasses characteristics that should be understood to different levels by the design engineer, the fabricator, and the welder. Some of these characteristics pertinent to the present discussion are residual stresses, imperfections, and stress concentrations.” Barsom and Rolfe
243
American Institute of Steel Construction
Category
Residual Stress
Major Imperfections
Stress Concentration
A
Low
None
None
B
High
Low
None
C
High
Low-Medium
Low
D
High
Medium
Medium
E
High
Medium
High
F
High
Medium
Low 244
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Category B’
Continuous longitudinal CJPs with backing Continuous longitudinal PJPs
A
B
C
D
E
F
245
Category E’
Transverse CJPs with Fy > 90 ksi, straight width taper
Category G
In general, Category E’ are Category E details but with thicker materials involved.
Threaded fasteners subject to stress range
Coverplates wider than the beam flange. 248
American Institute of Steel Construction
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AISC 360-10 SPECIFICATION
APPENDIX 3 DESIGN FOR FATIGUE 3.3. PLAIN MATERIAL AND WELDED JOINTS
A
B
B’
C
D
E
E’
F
G
In plain material and welded joints the range of stress at service loads shall not exceed the allowable stress range computed as follows:
249
250
AISC 360-10 SPECIFICATION
AISC 360-10 SPECIFICATION where
(a) For stress categories A, B, B ′ , C, D, E and E ′ the allowable stress range, F SR , shall be determined by Equation A-3-1 or A-3-1M, as follows:
C f F SR = n SR
C f = constant from Table A-3.1 for the fatigue category F SR = allowable stress range, ksi (MPa)
0.333
≥ F TH
C f x 329 F SR = nSR
(A-3.1)
0.333
≥ F TH
(S.I.)
(A-3.1M)
251
American Institute of Steel Construction
F TH = threshold allowable stress range, maximum stress range for indefinite design life from Table A-3.1, ksi (MPa) nSR = number of stress range fluctuations in design life = number of stress range fluctuations per day × 365 × years of design life 252
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AISC 360-10 SPECIFICATION
AISC 360-10 SPECIFICATION
(b) For stress category F, the allowable stress range, F SR , shall be determined by Equation A-3-2 or A-3-2M, as follows:
C f F SR = n SR
0.167
≥ F TH
C f (11 x 10 4 ) F SR = n SR
(A-3.2)
(c) For tension-loaded plate elements connected at their end by cruciform, T or corner details with complete-jointpenetration (CJP) groove welds or partial joint-penetration (PJP) groove welds, fillet welds, or combinations of the preceding, transverse to the direction of stress, the allowable stress range on the cross section of the tensionloaded plate element at the toe of the weld shall be determined as follows:
0.167
≥ F TH
(S.I.) (A-3.2M)
253
Cruciform
Inside Corner
T (tee)
American Institute of Steel Construction
254
with CJPs
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with PJPs
with fillets
CJPs with fillets
PJPs with fillets
American Institute of Steel Construction
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AISC 360-10 SPECIFICATION
AISC 360-10 SPECIFICATION
(c) For tension-loaded plate elements connected at their end by cruciform, T or corner details with complete-jointpenetration (CJP) groove welds or partial joint-penetration (PJP) groove welds, fillet welds, or combinations of the preceding, transverse to the direction of stress, the allowable stress range on the cross section of the tensionloaded plate element at the toe of the weld shall be determined as follows:
(i) Based upon crack initiation from the toe of the weld on the tension loaded plate element the allowable stress range, F SR , shall be determined by Equation A-3-3 or A-33M, for stress category C as follows:
44 x 10 8 F SR = n SR
Three options follow, labeled i, ii, and iii .
0.333
14.4 x 1011 F SR = n SR
261
≥ 10
(A-3.3)
0.333
≥ 68.9
(S.I.) (A-3.3M) 262
SECTION 5—WELDED JOINTS TRANSVERSE TO DIRECTION OF STRESS
Stress Category
Coefficient Cf
Threshold FTH
A
250 x 108
24
B
108
16
B’
61 x
108
12
C
44 x 108
10
D
22 x 108
7
E
11 x
108
4.5
E’
3.9 x 108
2.6
F
150 x 1010
8
G
108
7
120 x
3.9 x
For Imperial Units (ksi)
American Institute of Steel Construction
C
5.4
Description: Weld metal and base metal in or adjacent to the toe of CJP groove welds in T or corner joints or splices, with or without transitions in thickness having slopes no greater than 1:2 1/2. Weld reinforcement is not removed. Weld soundness established by RT or UT.
Potential Crack Initiation Point: From surface discontinuity at toe of weld extending into base metal or into weld metal. 263
264
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AISC 360-10 SPECIFICATION with CJPs Category C
(i) Based upon crack initiation from the toe of the weld on the tension loaded plate element the allowable stress range, F SR , shall be determined by Equation A-3-3 or A-33M, for stress category C as follows: 8 44 C x 10 f F SR = n SR
Condition i
0.333
14.4 Cf xx329 1011 F SR = n SR
FTH ≥ 10
(A-3.3)
0.333
Toe Cracks
68.9 ≥F TH
(S.I.) (A-3.3M) 265
SECTION 5—WELDED JOINTS TRANSVERSE TO DIRECTION OF STRESS
AISC 360-10 SPECIFICATION
44 x 108 F SR = R PJP n SR
0.333
14.4 x 1011 F SR = R PJP n SR
C
5.5a
(ii) Based upon crack initiation from the root of the weld the allowable stress range, F SR , on the tension loaded plate element using transverse PJP groove welds, with or without reinforcing or contouring fillet welds, the allowable stress range on the cross section at the toe of the weld shall be determined by Equation A-3-4 or A-3-4M, for stress category C ′ as follows: (A-3.4)
Description: Base metal and weld metal at transverse end connections of tension-loaded plate elements using PJP groove welds in butt or T- or corner joints, with reinforcing or contouring fillets. F SR shall be the smaller of the toe crack or root crack allowable stress range. Crack initiating from weld toe.
0.333
American Institute of Steel Construction
(S.I.) (A-3.4M) 267
Potential Crack Initiation Point: Initiating from geometrical discontinuity at toe of weld extending into base metal. 268
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with PJPs
PJPs with fillets
Category C’
Category C'
Condition ii
Condition ii
Root Cracks
Root Cracks
AISC 360-10 SPECIFICATION
AISC 360-10 SPECIFICATION
(ii) Based upon crack initiation from the root of the weld the allowable stress range, F SR , on the tension loaded plate element using transverse PJP groove welds, with or without reinforcing or contouring fillet welds, the allowable stress range on the cross section at the toe of the weld shall be determined by Equation A-3-4 or A-3-4M, for stress category C ′ as follows: 8 44 C x 10 f F SR = R PJP n SR
where R PJP , the reduction factor for reinforced or non-reinforced transverse PJP groove welds, is determined as follows:
0.333
14.4 Cf xx329 1011 F SR = R PJP n SR
(A-3.4) Note: no value for F TH
0.333
American Institute of Steel Construction
(S.I.) (A-3.4M) 271
0.65 − 0.59 2a + 0.72 w t t p p ≤ 1.0 R PJP = 0.167 t p 1.12 − 1.01 2a + 1.24 w t t p p ≤ 1.0 R PJP = 0.167 t p
(A-3.5)
(S.I.) (A-3.5M) 272
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AISC 360-10 SPECIFICATION PJPs with fillets Category C Condition i
If R PJP = 1.0, use stress category C. 2a = length of the nonwelded root face in the direction of the thickness of the tension-loaded plate, in. (mm) w = leg size of the reinforcing or contouring fillet, if any, in the direction of the thickness of the tensionloaded plate, in. (mm) t p = thickness of tension loaded plate, in. (mm)
Toe Cracks
273
w
1.0
) P tp 2a R PJP increases as • 2a decreases (i.e., as E increases)
0. 65 −0. 59 2a +0. 72 w • t t p p ≤1. 0 R PJP = 0. 167 t p
w increases
American Institute of Steel Construction
Domain of practical solutions
J 0.8 P
R ( r o 0.6 t c a F n o 0.4 i t c u d e 0.2 R
w
tp 0.65 −0.59 2a +0.72 t p R PJP = 0.167 t p
w t p ≤1.0
2a
Tp = 1”
0 0
275
1/8”
1/4” 3/8” 1/2” 5/8” 3/4” 7/8” 5/16” Fillet Weld Leg Size (w)
1”
Minimum fillet size for 1” steel (AWS) Minimum contouring fillet size (AISC)
1-1/8”
276
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AISC 360-10 SPECIFICATION
AISC 360-10 SPECIFICATION where R PJP , the reduction factor for reinforced or non-reinforced transverse PJP groove welds, is determined as follows:
APPENDIX 3 DESIGN FOR FATIGUE
DK Miller Commentary 3.5. SPECIAL FABRICATION AND ERECTION REQUIREMENTS
The term “reduction factor” may be non-intuitive. A “large reduction factor” (a high number) is good in this case; a “small reduction factor” is bad.
In transverse complete-joint-penetration T and corner joints, a reinforcing fillet weld, not less than 1/4 in. (6 mm) in size shall be added at re-entrant corners.
277
AISC 360-10 SPECIFICATION
REVIEW
278
AISC 360-10 SPECIFICATION
APPENDIX 3 (a) For stress categories A, B, B ′ , C, D, E and E ′ the allowable stress range, F SR , shall be determined by Equation A-3-1 or A-3-1M, as follows:
DESIGN FOR FATIGUE
C f F SR = n SR
3.3. PLAIN MATERIAL AND WELDED JOINTS In plain material and welded joints the range of stress at service loads shall not exceed the allowable stress range computed as follows:
≥ F TH
C f x 329 F SR = nSR
Three options follow, labeled a, b, and c . 279
American Institute of Steel Construction
0.333
(A-3.1)
0.333
≥ F TH
(S.I.)
(A-3.1M)
280
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AISC 360-10 SPECIFICATION
AISC 360-10 SPECIFICATION
(b) For stress category F, the allowable stress range, F SR , shall be determined by Equation A-3-2 or A-3-2M, as follows:
C f F SR = n SR
0.167
≥ F TH
C f (11 x 10 4 ) F SR = n SR
(A-3.2)
(c) For tension-loaded plate elements connected at their end by cruciform, T or corner details with complete-jointpenetration (CJP) groove welds or partial joint-penetration (PJP) groove welds, fillet welds, or combinations of the preceding, transverse to the direction of stress, the allowable stress range on the cross section of the tensionloaded plate element at the toe of the weld shall be determined as follows: Three options follow, labeled i, ii, and iii .
0.167
≥ F TH
(S.I.) (A-3.2M)
281
AISC 360-10 SPECIFICATION
AISC 360-10 SPECIFICATION (ii) Based upon crack initiation from the root of the weld the allowable stress range, F SR , on the tension loaded plate element using transverse PJP groove welds, with or without reinforcing or contouring fillet welds, the allowable stress range on the cross section at the toe of the weld shall be determined by Equation A-3-4 or A-3-4M, for stress category C ′ as follows:
(i) Based upon crack initiation from the toe of the weld on the tension loaded plate element the allowable stress range, F SR , shall be determined by Equation A-3-3 or A-33M, for stress category C as follows:
44 x 10 8 F SR = n SR
0.333
14.4 x 1011 F SR = n SR
≥ 10
(A-3.3)
0.333
≥ 68.9
American Institute of Steel Construction
282
(S.I.) (A-3.3M) 283
44 x 10 8 F SR = R PJP n SR
0.333
14.4 x 1011 F SR = R PJP n SR
(A-3.4)
0.333
(S.I.) (A-3.4M) 284
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AISC 360-10 SPECIFICATION
AISC 360-10 SPECIFICATION
(iii) Based upon crack initiation from the roots of a pair of transverse fillet welds on opposite sides of the tension loaded plate element, the allowable stress range, F SR , on the cross section at the toe of the welds shall be determined by Equation A-3-6 or A-3-6M, for stress category C ′′ as follows:
44 x 10 n SR 8
F SR = R FIL
where R FIL is the reduction factor for joints using a pair of transverse fillet welds only.
R FIL
0.333
14.4 x 1011 n SR
(A-3.6) Note: no value for F TH
0.333
F SR = R FIL
R FIL
(S.I.) (A-3.6M) 285
0.06 + 0.72 w t p ≤ 1.0 = 0.167 t p 0.10 − 0.72 w t p ≤ 1.0 = 0.167 t p
(A-3.7)
(S.I.) (A-3.7M)
286
If R FIL = 1.0, use stress category C.
AISC 360-10 SPECIFICATION w
For fillet welds, 2a = t p.
tp
0.06
1
0.65 − 0.59 2a + 0.72 w t p t p ≤ 1.0 R PJP = 0.167 t p 1.12 − 1.01 2a + 1.24 w t p t p ≤ 1.0 R PJP = 0.167 t p
American Institute of Steel Construction
where R FIL is the reduction factor for joints using a pair of transverse fillet welds only.
2a
R FIL (A-3.5)
R FIL (S.I.) (A-3.5M) 287
0.06 + 0.72 w t p ≤ 1.0 = 0.167 t p 0.10 − 0.72 w t p ≤ 1.0 = 0.167 t p
If R FIL = 1.0, use stress category C.
(A-3.7)
(S.I.) (A-3.7M)
288
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Fillets only
AISC 360-10 SPECIFICATION 1.0 I F 0.8
R ( r o t c 0.6 a F n o 0.4 i t c u d e 0.2 R
Three options follow, labeled i, ii, and iii . i.
RFIL = 1.0 when w = 1.31”
) L
(c) For tension-loaded plate elements connected at their end by cruciform, T or corner details with complete-jointpenetration (CJP) groove welds or partial joint-penetration (PJP) groove welds, fillet welds, or combinations of the preceding, transverse to the direction of stress, the allowable stress range on the cross section of the tensionloaded plate element at the toe of the weld shall be determined as follows:
CJP groove welds
w tp
R FIL
0 0
ii. PJPs without or with fillet welds iii. Fillet welds
1/8”
r o t c a F n o i t c u d e R
(2a = t p)
• Select w to obtain RFIL = 1
w
2a
1
1-1/8”
290
w
• Divide w by t p to obtain multiplier
0.8 0.7 0.6 0.5 0.4 0.3 0.2 0.1 0 0
1”
Fillets
tp
R
Tp = 1”
Minimum fillet size for 1” steel (AWS) Minimum contouring fillet size (AISC)
289
• RFIL > 0.50 for t p < 3” L I F
2a
1/4” 3/8” 1/2” 5/8” 3/4” 7/8” 5/16” Fillet Weld Leg Size (w)
Fillets • w = (3/4) t p
0.06 + 0.72 w t p ≤ 1.0 = 0.167 t p
2
3
Steel Thickness (in.)
American Institute of Steel Construction
4
tp
• Results in very large fillets 2a
2 r e i l p i t l 1.5 u M d 1 l e W t e 0.5 l l i F 0 5 291
0
1
2
3
Steel Thickness (in.)
4
5 292
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PJPs with contouring fillets
AISC 360-10 SPECIFICATION
• Let E = w and 2t w = tp, i.e. “Full Strength” for static (c) For tension-loaded plate elements connected at their end by cruciform, T or corner details with complete-jointpenetration (CJP) groove welds or partial joint-penetration (PJP) groove welds, fillet welds, or combinations of the preceding, transverse to the direction of stress, the allowable stress range on the cross section of the tensionloaded plate element at the toe of the weld shall be determined as follows: Three options follow, labeled i, ii, and iii . i.
CJP groove welds
ii. PJPs without or with fillet welds iii. Fillet welds
293
294
PJPs with contouring fillets
PJPs with contouring fillets • Let E = w and 2t w = tp, i.e. “Full Strength” for static
W = 0.35 t p
• RPJP > 0.5 for t w up to 4” tp
P J P
R
2a
r o t c a F n o i t c u d e R
E = 0.35 t p
PJP effective throat (E) = fillet weld leg size (w) 2a = t p – 2E = 0.3 tp
w = E =0.35 t p
tw = effective throat of combined PJP/fillet 2tw = tp
American Institute of Steel Construction
1 0.9 0.8 0.7 0.6 0.5 0.4 0.3 0.2 0.1 0
t p
2 a
0 295
W = 0.35 tp
1
2
3
Steel Thickness (in.)
E = 0.35 tp
4
5 296
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SECTION 5—WELDED JOINTS TRANSVERSE TO DIRECTION OF STRESS
SECTION 5—WELDED JOINTS TRANSVERSE TO DIRECTION OF STRESS
C
5.5a
C
5.5a mod
Description: Base metal and weld metal at transverse end connections of tension-loaded plate elements using PJP groove welds in butt or T- or corner joints, with reinforcing or contouring fillets. FSR shall be the smaller of the toe crack or root crack allowable stress range. Crack initiating from weld toe.
Description: Base metal and weld metal at transverse end connections of tension-loaded plate elements using PJP groove welds in butt or T- or corner joints, with reinforcing or contouring fillets. FSR shall be the smaller of the toe crack or root crack allowable stress range. Crack initiating from weld toe.
Potential Crack Initiation Point: Initiating from geometrical discontinuity at toe of weld extending into base metal.
Potential Crack Initiation Point: Initiating from geometrical discontinuity at toe of weld extending into base metal. 297
298
SECTION 5—WELDED JOINTS TRANSVERSE TO DIRECTION OF STRESS
SECTION 5—WELDED JOINTS TRANSVERSE TO DIRECTION OF STRESS
C’
5.5b mod
C
5.6a
Description: Base metal and weld metal at transverse end connections of tension-loaded plate elements using PJP groove welds in butt or T- or corner joints, with reinforcing or contouring fillets. FSR shall be the smaller of the toe crack or root crack allowable stress range. Crack initiating from weld root.
Description: Base metal and weld metal at transverse end connections of tension loaded plate elements using a pair of fillet welds on opposite sides of the plate. FSR shall be the smaller of the toe crack or root crack allowable stress range.
Potential Crack Initiation Point: Initiating at weld root subject to tension extending into and through weld.
Potential Crack Initiation Point: Initiating from geometrical discontinuity at toe of weld extending into base metal.
299
American Institute of Steel Construction
Crack initiating from weld toe.
300
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SECTION 5—WELDED JOINTS TRANSVERSE TO DIRECTION OF STRESS
SECTION 5—WELDED JOINTS TRANSVERSE TO DIRECTION OF STRESS
C”
5.6b
Description: Base metal and weld metal at transverse end connections of tension loaded plate elements using a pair of fillet welds on opposite sides of the plate. F SR shall be the smaller of the toe crack or root crack allowable stress range.
C
5.7
Description: Base metal of tension loaded plate elements and on girders and rolled beam webs or flanges at toe of transverse fillet welds adjacent to welded transverse stiffeners.
Crack initiating from weld root. Potential Crack Initiation Point: Initiating at weld root subject to tension extending into and through weld.
Potential Crack Initiation Point: From geometrical discontinuity at toe of fillet extending into base metal.
301
302
AISC 360-10 SPECIFICATION
Fatigue of Welded Connections: A Primer 2. Design Model--SUMMARY
APPENDIX 3 DESIGN FOR FATIGUE 3.3. PLAIN MATERIAL AND WELDED JOINTS In plain material and welded joints the range of stress at service loads shall not exceed the allowable stress range computed as follows:
304
American Institute of Steel Construction
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AISC 360-10 SPECIFICATION
AISC 360-10 SPECIFICATION
(a) For stress categories A, B, B ′ , C, D, E and E ′ the allowable stress range, F SR , shall be determined by Equation A-3-1 or A-3-1M, as follows:
C f F SR = n SR
(b) For stress category F, the allowable stress range, F SR , shall be determined by Equation A-3-2 or A-3-2M, as follows:
0.333
≥ F TH
C f x 329 F SR = nSR
(A-3.1)
(A-3.1M)
C f (11 x 10 4 ) F SR = n SR
0.333
≥ F TH
(S.I.)
0.167
C f F SR = n SR
≥ F TH
(A-3.2)
0.167
≥ F TH
(S.I.) (A-3.2M)
305
AISC 360-10 SPECIFICATION
AISC 360-10 SPECIFICATION
(c) For tension-loaded plate elements connected at their end by cruciform, T or corner details with complete-jointpenetration (CJP) groove welds or partial joint-penetration (PJP) groove welds, fillet welds, or combinations of the preceding, transverse to the direction of stress, the allowable stress range on the cross section of the tensionloaded plate element at the toe of the weld shall be determined as follows:
(i) Based upon crack initiation from the toe of the weld on the tension loaded plate element the allowable stress range, F SR , shall be determined by Equation A-3-3 or A-33M, for stress category C as follows:
44 x 10 8 F SR = n SR
307
American Institute of Steel Construction
306
0.333
14.4 x 1011 F SR = n SR
≥ 10
(A-3.3)
0.333
≥ 68.9
(S.I.) (A-3.3M) 308
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AISC 360-10 SPECIFICATION
AISC 360-10 SPECIFICATION
(ii) Based upon crack initiation from the root of the weld the allowable stress range, F SR , on the tension loaded plate element using transverse PJP groove welds, with or without reinforcing or contouring fillet welds, the allowable stress range on the cross section at the toe of the weld shall be determined by Equation A-3-4 or A-3-4M, for stress category C ′ as follows:
44 x 108 n SR
44 x 10 8 F SR = R FIL n SR
0.333
F SR = R PJP
14.4 x 10 n SR
F SR = R PJP
(iii) Based upon crack initiation from the roots of a pair of transverse fillet welds on opposite sides of the tension loaded plate element, the allowable stress range, F SR , on the cross section at the toe of the welds shall be determined by Equation A-3-6 or A-3-6M, for stress category C ′′ as follows:
11
(A-3.4)
0.333
(A-3.6) Note: no value for FTH
14.4 x 1011 n SR
F SR = R FIL
0.333
(S.I.) (A-3.4M)
0.333
(S.I.) (A-3.6M)
309
AISC 360-10 SPECIFICATION
310
) i100 s k ,
APPENDIX 3
R S
( e g n a R10 s s e r t S g o L 1
DESIGN FOR FATIGUE 3.1. GENERAL PROVISIONS (cont’d) No evaluation of fatigue resistance is required if the live load stress range is less than the threshold allowable stress range, F TH . See Table A-3.1.
Category A Category B Category B’ Category C
Category F
Category D Category E Category E’
20x103
105
106
107
108
Log Number of Cycles (N) 311
American Institute of Steel Construction
312
AISC Live Webinar May 23, 2013
Fatigue of Welded Connections A Primer, Part I
Stress Category
Coefficient Cf
Threshold FTH
A
250 x 108
24
B
120 x
108
16
B’
61 x 108
12
C
44 x 108
10
D
22 x 108
7
E
11 x 108
4.5
E’
108
2.6
3.9 x
F
150 x 1010
8
G
3.9 x 108
7
For Imperial Units (ksi)
Fatigue of Welded Connections: A Primer Thank You!
313
AISC Live Webinars
AISC Live Webinars
CEU/PDH Certificates
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American Institute of Steel Construction
Access available in 24 hours… • Go to: http://www.wynjade.com/aiscspring13/webinarCEU Username: Your Web ID (found on your registration receipt) Password: Your Last Name • Note: The certificate is for Part I only. • Questions? Please email us at
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