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2/8/2017
1
Assessment of First Generation Performance-Based Seismic Design Methods for New Steel Buildings
Jay Harris
Engineering LaboratoryNational Institute of Standards and TechnologyU.S. Department of Commerce
SEAU5th Annual Education ConferenceFeb. 22, 2017, Provo, UT
Presentation Outline• Introduction
– What is ASCE 41?
– Brief History of ASCE 41
• NIST Project Motivation and Scope
• Archetype Buildings Designed by ASCE 7
• Seismic Assessment using ASCE 41 (2006 and 2013)
• Seismic Assessment Results of Archetype Buildings
• Time Depending: Changes in ASCE 41-17 and AISC 342
• Questions
2
• ASCE 41 is consider to be a 1st generation performance-based seismic design (PBSD) methodology for existingbuildings
• “Design”? Actually, performance-based seismic evaluation of a system and design of a retrofit
– Seismic evaluation is defined as an approved methodology of evaluating deficiencies in components of a building that prevent the building from achieving a selected Performance Objective.
– Seismic retrofit is defined as the design of measures to improve the seismic performance of structural (or nonstructural) components of a building by correcting deficiencies identified in a seismic evaluation relative to a selected Performance Objective.
3
Introduction:What is ASCE 41?
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• ASCE 41 is referenced for its intended purpose in the International Existing Building Code (IEBC) as well as mandated guidelines for federal agencies (e.g., RP-10)
• Intended to be a standalone provisions document, that for specific reasons will require some provisions from ASCE 7
• Side note: FEMA is working on next generation of PBSD – ATC-58 Project: Development of Next Generation PBSD Procedures for New and Existing Buildings
4
Introduction:What is ASCE 41?
• ASCE 41 is being used now for evaluation of existingsteel seismic force-resisting systems (SFRS) and theirpotential retrofit options. It is referenced in the IEBC.
• ASCE 41 is a PBSD option for new buildings via Ch. 1of ASCE 7
• GSA PBS-P100: Facility Standards for the PublicBuildings Service requires ASCE 41 to be used for theseismic design of new GSA facilities and that theguidelines from ASCE 41 are intended to be applied tonew buildings.
5
Introduction:Current Usage of ASCE 41?
• The National Institute of Building Sciences (NIBS) isusing PBS-P100 as the basis for developing theirNational Performance Based Design Guide
• ASCE 7-16 has a revised Ch. 16 for NonlinearResponse History Analysis (NLRHA) that referencesASCE 41 for component modeling, and allowablestrengths and deformations for components of adetermined SFRS
6
Introduction:Current Usage of ASCE 41?
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3
• NIST study completed recently regarding assessment of ASCE 41-06 provisions for new steel buildings
– 4 Volumes: SMF, SCBF, EBF, BRBF*
• Assessment results illustrate that some components of the SFRS do not satisfy the acceptance criteria for LS or CP Performance Level
* report nearing completion
7
http://nehrp.gov/library/guidance_pbsd.htm
Introduction:Current Usage of ASCE 41?
• 1997 – FEMA published FEMA 273: NEHRP Guidelines for the Seismic Rehabilitation of Buildings (and FEMA 274 - Commentary)
• 1998 – FEMA published FEMA 310: Handbook for Seismic Evaluation of Buildings
• 2000 – FEMA and ASCE published FEMA 356: Prestandard and Commentary for the Seismic Rehabilitation of Buildings—based on FEMA 356
– changes made to FEMA 273 are chronicled in FEMA 357: Global Topics Report on the Prestandard and Commentary for the Seismic Rehabilitation of Buildings
8
Introduction:History of ASCE 41
• 2003 – ASCE published ASCE 31-03: Seismic Evaluation of Existing Buildings—based on FEMA 310
• 2007 – ASCE published ASCE 41-06: Seismic Rehabilitation of Existing Buildings—based on FEMA 356
• 2014 – ASCE published ASCE 41-13: Seismic Evaluation and Retrofit of Existing Buildings
– combines ASCE 31 and ASCE 41
• 2017 – next version of ASCE 41
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Introduction:History of ASCE 41
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• ASCE 41 just completed its final ballot. Publication date is expected in late 2017
• Papers are starting to be publically available about what revisions will be included in ASCE 41-17
• In regards to structural steel, many technical changes were approved this cycle. Several SEAOC (2016) papers discussed these changes. Future papers and reports will provide detailed explanations of the changes
– Alignment between ASCE 41 and AISC 360 and AISC 341
– Steel column provisions went through a major overhaul
– Technical and Editorial Clean Up process – but not done yet!
10
Introduction:Current Status of ASCE 41-17
NIST Project
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Introduction:Project Motivation
• NIST GCR 09-917-2 identified a critical need to benchmark “first generation” PBSD
– Recent publications have also highlighted needs with ASCE 41
• Calibration/comparison with ASCE 7
• Investigate link between ASCE 7 and ASCE 41
– If a building is designed (ASCE 7) and built today and then assessed (ASCE 41) tomorrow, will it need to be retrofitted?
– Or vice versa (GSA - ASCE 41-13 §9.3.3)
12
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Introduction:Project Motivation
IEBC Table 101.5.4.1
IBCOccupancyCategory
ASCE 41 BSE-1Hazard
ASCE 41 BSE-2 Hazard
ILife Safety
(LS)
CollapsePrevention
(CP)
IILife Safety
(LS)
CollapsePrevention
(CP)
III 80% OC IV 80% OC IV
IVImmediateOccupancy
(IO)
Life Safety (LS)
New Construction Existing BuildingsRehabilitation &
PBSD
Not validated and rejected for inclusion in ASCE 7-10
13
Seismic HazardNotes:1. ASCE 7-10 Hazard2. ASCE 41-06 Hazard3. Per ASCE 7-10 Commentary
Target Building Performance Level1
OperationalImmediate Occupancy
(IO)
Life Safety(LS)
Collapse Prevention
(CP)
Ear
thq
uak
eH
azar
d L
evel 50% / 50 year2 ASCE 41
(nonstructural)ASCE 41 Limited ASCE 41 Limited ASCE 41 Limited
20% / 50 year2 ASCE 41 Enhanced
ASCE 41 ASCE 41 Limited ASCE 41 Limited
“Frequent” 1 ASCE 7 OC III & IV
ASCE 7 OC I & II(anticipated)3 N.A. N.A.
BSE-1 (10% / 50 year) 2 ASCE 41 Enhanced
ASCE 41 Enhanced
ASCE 41 BSO ASCE 41 Limited
(2/3) MCER1 N.A.
ASCE 7 OC III & IV
ASCE 7 OC I & II(design)
N.A.
BSE-2 (2% / 50 year) 2 ASCE 41 Enhanced
ASCE 41 Enhanced
ASCE 41 Enhanced
ASCE 41 BSO
MCER1 N.A. N.A.
ASCE 7 OC III & IV
ASCE 7 OC I & II(objective) 3
ASCE 7-10 considers CP and has implied performance at IO and LS; ASCE 41 has explicit consideration of the seismic hazards at all performance levels.
14
Introduction:Project Scope
15
Design a suite of structures using ASCE 7
• Develop archetype buildings • Occupancy category II (Ordinary Use)• 4, 8 and 16-story buildings• Steel lateral systems:
• SMF, SCBF, EBF, and BRBF• Design using both RSA and ELF methods• Design using the upper bound of Seismic Design
Category D
Assessment of designs using ASCE 41
• Use prescribed analysis methods and acceptance criteria
• Linear Static Procedure (LSP)
• Linear Dynamic Procedure (LDP)
• Nonlinear Static Procedure (NSP)
• Nonlinear Dynamic Procedure (NDP)
Outcomes
• Correlate performance objectives between ASCE 7 & ASCE 41
• Quantify implied target performance levels
• Correlate the results of the four ASCE 41 analysis method results
• Provide input to future ASCE 7 & ASCE 41 editions
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• Archetype Buildings designed per IBC 2012• ASCE 7-10 and referenced design standards
– AISC 360-10, AISC 341-10, AISC 358-10
• 4 Steel Seismic Force-Resisting Systems Investigated
• Special Moment Frames – report complete
• Special Concentrically Braced Frames – report complete
• Eccentrically Braced Frames – report complete
• Buckling-Restrained Braced Frames -- report in review
Introduction:Project Scope
16
• Reports for SMF, SCBF, and EBF
– Available at www.nehrp.gov
Introduction:Project Scope
17
Peer Review Team
• Overall project:– Bill Holmes (Chair) (RC)
– Peter Somers (MKA)
– Nico Luco (USGS)
– Bob Hanson (UM)
– Bob Pekelnicky (DE)
• System Specific Members– SMF: Tom Sabol (ES) Mike Engelhardt (UTA)
– SCBF: Rafael Sabelli (WPM) Steve Mahin (UCB)
– EBF: Jim Malley (DE) Charles Roeder (UW)
18
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• Structural Geometry
– 150 feet by 100 feet
• East-West: 5 - 30 ft. bays
• North-South: 5 - 20 ft. bays
– 4-, 8-, and 16-story
• Heights = 60, 116 and 228 feet
– SFRS designed twice for seismic effects
• Using Equivalent Lateral Force (ELF) Procedure
• Using Modal Response Spectrum Analysis (RSA)
– 24 Total Buildings
Archetype Buildings
19
Archetype Buildings
5 @ 30'-0" = 150'-0"
Building Floor Framing Plan - Typical
W14×22
SMF
W14×22W14×22
W16×26
Sym. AboutA B C D E F
1
2
3
4
5
6
W14×22 W14×22W14×22
W14×22 W14×22W14×22
W14×22 W14×22W14×22
W14×22 W14×22W14×22
SCBF
20
• SMF– RBS Beam-to-Column Connections
– Columns sized initially to satisfy Strong Column – Weak Beam
– Column sizes increased to avoid use of doubler plates
Archetype Buildings
ELF SMF
W27×114 RBS 2nd Floor(ELEV = 18 ft.)
3rd Floor(ELEV = 32 ft.)
4th Floor(ELEV = 46 ft.)
5th Floor(ELEV = 60 ft.)
6th Floor(ELEV = 74 ft.)
7th Floor(ELEV = 88 ft.)
8th Floor(ELEV = 102 ft.)
1
1 2 3
2 3 4
5
4 5 6
6 7 8
9
7 8 9
10 11 12
13
10 11 12
14 15 16
17
13 14 15
18 19 20
21
16 17 18
22 23 24
25
19 20 21
26 27 28
29
22 23 24
30 31 32
RBS Dimensions:W24×55 a = 3.75", b = 16", c = 1.75"W27×94 a = 5.00", b = 18", c = 2.50"W27×114 a = 5.25", b = 18", c = 2.50"
= Panel Zone
= Column Splice
Roof(ELEV = 116 ft.)
W27×94 RBS
W27×94 RBS
W27×114 RBS
W27×114 RBS
W27×114 RBS
W24×55 RBS
W24×55 RBS
B C D ESym. About
same
same
same
same
same
same
same
same
Fundamental PeriodsT1 = 2.79 sec (First-Order)T1 = 2.91 sec (1.0D + 0.25Lo)T1 = 2.94 sec (1.2D + 0.25Lo)
2 @ 30'-0" = 60'-0"
W24×84 RBS 2nd Floor(ELEV = 18 ft.)
3rd Floor(ELEV = 32 ft.)
4th Floor(ELEV = 46 ft.)
5th Floor(ELEV = 60 ft.)
6th Floor(ELEV = 74 ft.)
7th Floor(ELEV = 88 ft.)
8th Floor(ELEV = 102 ft.)
1
1 2 3
2 3 4
5
4 5 6
6 7 8
9
7 8 9
10 11 12
13
10 11 12
14 15 16
17
13 14 15
18 19 20
21
16 17 18
22 23 24
25
19 20 21
26 27 28
29
22 23 24
30 31 32
RBS Dimensions:W21×44 a = 3.25", b = 14", c = 1.50"W24×55 a = 3.75", b = 16", c = 1.75"W24×76 a = 4.50", b = 16", c = 2.25"W24×84 a = 4.75", b = 16", c = 2.25"
= Panel Zone
= Column Splice
Roof(ELEV = 116 ft.)
W24×55 RBS
W24×55 RBS
W24×84 RBS
W24×76 RBS
W24×76 RBS
W21×44 RBS
W21×44 RBS
B C D E
RSA SMF
Sym. About
same
same
same
same
same
same
same
same
Fundamental PeriodsT1 = 3.55 sec (First-Order)T1 = 3.81 sec (1.0D + 0.25Lo)T1 = 3.86 sec (1.2D + 0.25Lo)
2 @ 30'-0" = 60'-0"
21
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• SCBF– 4-story uses chevron bracing configuration
– 8- and 16-story use two-story X configuration
– Column sizes controlled by capacity design requirements
Archetype BuildingsW
14×
176
W14
×31
1W
14×
132
W14
×68
W14
×15
9W
14×
283
W14
×13
2W
14×
68
22
• EBF– Links are classified as “short”, e = 30” to 39”
– Capacity design requirements generally controlled column sizes
– Link rotation (i.e., drift) requirements controlled for taller frames
Archetype Buildings
W14
×15
9W
14×
211
W14
×13
2W
14×
82
W14
×13
2W
14×
145
W14
×68
W14
×48
23
• BRBF– 4-story use chevron bracing configuration
– 8- and 16-story use two-story X configuration
– Column sizes controlled by capacity design requirements
Archetype Buildings
W14
×68
W14
×13
2W
14×
53W
14×
48
1 2
3 4
5 6
7 8
9 10
11 12
13 14
15 16
W14
×13
2W
14×
145
W14
×68
W14
×38
9 10
11 12
13 14
15 16
1 2
3 4
5 6
7 8
24
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Overview of ASCE 41-13
25
Overview of ASCE 41• ASCE 41-13
– Ch. 1 – General Requirements
– Ch. 2 – Performance Objectives and Seismic Hazard
– Ch. 3 – Evaluation and Retrofit Requirements
– Ch. 4 – Tier 1: Screening
– Ch. 5 – Tier 2: Deficiency-Based Evaluation and Retrofit
– Ch. 6 – Tier 3: Systematic Evaluation and Retrofit
– Ch. 7 – Analysis Procedures and Acceptance Criteria
– Ch. 8 – Foundations and Geological Site Hazards
– Ch. 9 – Steel
– Ch. 10 – Concrete
– Ch. 11 – Masonry
– Ch. 12 – Wood and Cold-Formed Steel Light Frame
– Ch. 13 – Architectural, Mechanical, and Electrical Components
– Ch. 14 – Seismic Isolation and Energy Dissipation
– Ch. 15 – System-Specific Performance Procedures
26
Overview of ASCE 41• Ch. 1 General Requirements
– §1.4 Seismic Evaluation Process• Does building comply?
– Selection of Performance Objective (§2.2)
– Seismic Hazard and Level of Seismicity (§2.4, §2.5)
– Evaluation Procedure (§3.3)
» Tier 1, 2 or 3
– §1.5 Seismic Retrofit Process• Seismic Evaluation Process (§1.4)
• Seismic Retrofit Procedure (§3.3)
– Selection of Performance Objective (§2.2)
– Seismic Hazard and Level of Seismicity (§2.4, §2.5)
– Evaluation Procedure (§3.3)
» Tier 2 or 3
• Retrofit Strategies and Compliance of the NEW system
27
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Overview of ASCE 41• Ch. 2 Performance Objective and Seismic Hazards
– Target Building Performance Level (BPL) - §2.3 • Structural Performance Level (SPL) - §2.3.1
– 6 SPLs
» Immediate Occupancy (IO) (S=1)
» Damage Control (S=2)
» Life Safety (LS) (S=3)
» Limited Safety (S=4)
» Collapse Prevention (CP) (S=5)
» Not Considered (S=6)
• Nonstructural Performance Level (NPL) - §2.3.2
– 4 NPLs
» Operational (N=A)
» Position Retention (N=B)
» Life Safety (N=C)
» Not Considered (N=D) – E in ASCE 41-0628
(5-D)
N-D
Overview of ASCE 41• Ch. 2 Performance Objective and Seismic Hazards
– Performance Objectives (PO) - §2.2
• ASCE 41 defines four (4) performance objectives
– Basic (BPOE)
– Enhanced (> BPOE)
– Limited (<BPOE)
– Basic PO Equivalent to New Building Standards (BPON)
» Only for Tier 3 Evaluation or Retrofit Procedure
• Recommendations regarding the selection of a Performance Objective for any building are outside the scope of this standard
29
traditional
Overview of ASCE 41• BPOE Performance Objective
– Series of Building Performance Levels coupled with a Seismic Hazard Level
30
BSE = “Basic SafetyEarthquake”
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Overview of ASCE 41• BPOE Performance Objective
– Series of Building Performance Levels coupled with a Seismic Hazard Level
31
Overview of ASCE 41• BPON Performance Objective
– BSE-2N = MCER from ASCE 7-10
– BSE-1N = 2 / 3 × BSE-2N
Does ASCE 41 CP performance objective = ASCE 7 CP performance objective?
32
Overview of ASCE 41• Seismic Hazard Level (SHL) - §2.4
– Dependent on selected Performance Objective
– Response spectrum for horizontal and vertical motion
• Similar to ASCE 7
– Ground Motion Acceleration Histories
33
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Overview of ASCE 41• Ch. 3 Seismic Evaluation or Retrofit Procedure
– Selection of appropriate Tier• 1 – Ch. 4
– The purpose of the Tier 1 screening phase of the evaluation process is to quickly identify buildings that comply with the provisions of this standard.
– A Tier 1 screening is required for all buildings so that potential deficiencies may be quickly identified. Further evaluation using a Tier 2 or Tier 3 evaluation then focuses, at a minimum, on the potential deficiencies identified in Tier 1.
• 2 – Ch. 5– Tier 2 deficiency-based evaluation limits the scope of the evaluation to examining
all potential deficiencies associated with Tier 1 noncompliant statements.
• 3 – Ch. 6– The Tier 3 systematic procedure involves an analysis of the entire building, either
in its current condition or with proposed retrofit measures, using the provisions in Chapters 7 through 12 for the structural systems and Chapter 13 for nonstructural components.
» Ch. 7 Analysis Procedures and Acceptance Criteria
» Ch. 8 Foundations and Geological Site Hazards
» Chs. 9-12 Material-dependent Chapters34
Overview of ASCE 41– Ch. 7 Analysis Procedures and Acceptance Criteria
• ASCE 41 provides four (4) analysis procedures (§7.4)
– Linear Analysis
» Linear Static Procedure (LSP)
» Linear Dynamic Procedure (LDP)
• Response Spectrum or Response History
– Nonlinear Analysis
» Nonlinear Static Procedure (NSP)
» Nonlinear Dynamic Procedure (NDP)
35
Overview of ASCE 41– Acceptance Criteria (§7.5)
• Every component of the structure shall be classified as a primary or secondary component, and each action in the component classified as deformation-controlled or force-controlled.
• Linear Procedures (§7.5.2)– Deformation-controlled actions
» QUD < m (QCE)
– Force-controlled actions
» QUF < QCL
• Nonlinear Procedure (§7.5.3)– Primary and secondary component demands shall be within the
acceptance criteria for nonlinear components at the selected Structural Performance Level. Allowable deformations are specified in Chapters 9 through 12.
m is a component capacity modificationfactor to account for expected ductilityassociated with an action at the selectedStructural Performance Level. m–factorsare specified in Chapters 9 through 12.
36
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Overview of ASCE 41– Alternative Modeling Parameters and Acceptance
Criteria (§7.6)
• Defines a method to derive the backbone curve (force-deformation) for a component and the associated target values for checking the acceptance criteria for nonlinear and linear assessment
37
Overview of Ch. 9• Ch. 9 Steel
– 9.1 Scope
– 9.2 Material Properties and Condition Assessment
– 9.3 General Assumptions and Requirements
– 9.4 Steel Moment Frames
– 9.5 Steel Braced Frames
– 9.6 Steel Plate Shear Walls
– 9.7 Steel Frame With Infills
– 9.8 Diaphragms
– 9.9 Steel Pile Foundations
– 9.10 Cast and Wrought Iron
38
Overview of Ch. 9• 9.2 Material Properties and Condition Assessment
– Mechanical properties for steel materials and components shall be based on available construction documents and as-built conditions for the particular structure, as specified in Section 3.2. Where such documentation fails to provide adequate information to quantify material properties or document the condition of the structure, such documentation shall be supplemented by material tests and assessments of existing conditions, as required in Section 6.2.
39
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14
Overview of Ch. 9
40
Overview of Ch. 9
• 9.3 General Assumptions and Requirements– 9.3.1 Stiffness
• Component stiffnesses shall be calculated in accordance with Sections 9.4 through 9.10.
– 9.3.2 Strength and Acceptance Criteria • Classification of steel component actions as deformation- or force-
controlled and calculation of strengths shall be as specified in Sections 9.4 through 9.10.
• Strengths for deformation-controlled actions, QCE, shall be taken as expected strengths obtained experimentally or calculated using accepted principles of mechanics. Unless other procedures are specified in this standard, procedures contained in AISC 360 to calculate design strength shall be permitted, except that the strength reduction factor, , shall be taken as 1.0.
• Deformation capacities for acceptance of deformation-controlled actions shall be as specified in Sections 9.4 through 9.10.
41
Overview of Ch. 9– Strengths for force-controlled actions, QCL, shall be taken as
lower-bound strengths obtained experimentally or calculated using established principles of mechanics. Lower-bound strength shall be defined as mean strength minus one standard deviation. Unless other procedures are specified in this standard, procedures contained in AISC 360 to calculate design strength shall be permitted, except that the strength reduction factor, , shall be taken as 1.0.
42
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Overview of Ch. 9• 9.4 – 9.10 System-specific provisions
– 9.4 Moment Frames – Fully and Partially Restrained
• 9.4.2.2 Stiffness of FR Moment Frames
– Linear and nonlinear procedures
– e.g. panel zone modeling – when should it be included?
6 6ye b pe b
yb b
ZF L M L
EI EI
CE CE yeQ M ZF For a beam in double curvature,
NDP: The complete hysteretic behavior of each component shall be determined experimentally or by other procedures approved by the authority having jurisdiction
43
Overview of Ch. 9• 9.4 – 9.10 System-specific provisions
• 9.4.2.3 Strength of FR Moment Frames
– Linear and nonlinear procedures
– QCE and QCL of MF components (deformation- or force-controlled)
• 9.4.2.4 Acceptance Criteria for FR Moment Frames
– Linear and nonlinear procedures
– m-factors and allowable deformations of MF components for a given SPL
44
S = secondaryP = Primary
Overview of Ch. 9• m-factors for components in a moment frame
45
UD CEQ m Q
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16
Overview of Ch. 9
• m-factors for components in a moment frame
46
Overview of Ch. 9• Deformations for components in a moment frame
47
, 6ye b
y beamb
ZF L
EI ,CL n AISCP P
, 16
ye by col
b ye
ZF L P
EI P
Overview of Ch. 9• Deformations for components in a moment frame
48
0.0 0.2 0.4 0.6 0.8 1.00.0
0.5
1.0
1.5
2.0
2.5
3.0
3.5
4.0
0.06
0.12
interpolatebetween limits
Wide-Flange Sections35% > Group A 1% > Group B12% > AISC HD 3% > AISC MD
ye
E
F
0.125 2.45 1 0.93
0.125 0.77 2.93 1.49
0.125 3.76 1 2.75
0.125 1.12 2.33 1.49
c y w y c y
c y w y c y y
c y w y c y
c y w y c y y
P h E P
P t F PAISC HD
P h E P E
P t F P F
P h E P
P t F PAISC MD
P h E P E
P t F P F
418
w ye
h
t F
640
w ye
h
t F
Life Safety
Wid
th-t
o-T
hick
ness
Rat
io, h
/tw
Axial Load Ratio, P/Pye
ASCE 41 Group A Compactness Limit ASCE 41 Group B Compactness Limit AISC 341-10 HD Compactness Limit AISC 341-10 MD Compactness Limit
, ( 1.0) 0.6
50
CL n AISC c ye
ye y
P P P
F F ksi
300
w ye
h
t F
260
w ye
h
t F
460
w ye
h
t F
400
w ye
h
t F
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17
Overview of Ch. 9• Deformations for components in a moment frame
49
Assessment Results for the SFRS in the 8-Story Archetype Building
4- and 16-story can be found in NIST reports
50
Seismic Assessment
• Performance objective– Basic Safety Objective
• Collapse Prevention Performance Level at the BSE-2N (MCER in ASCE 7)
• Life Safety Performance Level at the BSE-1N (2/3 of BSE-2)– BSE = Basic Safety Earthquake
• Analysis Procedures– Linear Analysis
• Linear Static Procedure (LSP)
• Linear Dynamic Procedure (LDP)
– Nonlinear Analysis• Nonlinear Static Procedure (NSP)
• Nonlinear Dynamic Procedure (NDP)– 14 Ground Motions
51
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Assessment: Modeling
• Linear Analysis– Modeled in ETABS
• Nonlinear Analysis– Modeled in PERFORM-3D
– Nonlinear components calibrated with tests to verify backbone curve parameters
-8 -6 -4 -2 0 2 4 6 8
-40000
-30000
-20000
-10000
0
10000
20000
30000
40000Specimen DB4 (Engelhardt et al. 1998)
Mom
ent a
t Col
umn
Fac
e (k
ip-i
n)
Tip Displacement (inches)
Test Data Analysis Backbone
W36×194
52
RBS Connection
Mathematical Model
Inel
astic
Col
umn
Inel
astic
Col
umn
d c/2
d c/2
d b/2
d b/2
Ela
stic
B
eam
, E
I b,R
BS
Def
ault
E
nd Z
one
Ela
stic
Bea
m, E
I b
Ela
stic
B
eam
, E
I b,R
BS
Ela
stic
Col
umn,
EI c
Ela
stic
C
olum
n,
EI c
Ela
stic
Col
umn,
EI c
Ela
stic
C
olum
n,
EI c
Assessment: Modeling
53HSS Brace
Shear Link
Elastic Beam, EIb
Gusset Element, 2EIb
Gusset Plate (not modeled)Increased joint stiffness provided by gusset elements
Default End Zone
Gusset Element,
2EIc
Default End Zone
Elastic Column,
EIc
Elastic Column,
EIc
18"
nodenode
Brace stiffness computed from 0.9Lwp
W.P.
Moment release
Panel Zone
Moment-Curvature PMM Hinge, typ.
Elastic Column,
EIc
Elastic Column,
EIc
Elastic Beam
Inelastic Brace Strut
Mathematical Model
-0.18 -0.15 -0.12 -0.09 -0.06 -0.03 0.00 0.03 0.06 0.09 0.12 0.15 0.18-150
-100
-50
0
50
100
150UTA Specimen 4A-RLP (Richards et al. 2007)
She
ar F
orce
, V
Plastic Shear Strain, p
Test Data Analysis Backbone
W10×33e = 23"
BRB
-3 -2 -1 0 1 2 3-400
-300
-200
-100
0
100
200
300
400
Forc
e (k
ips)
Deformation (inches)
CoreBrace StarSeismic Analysis
Seismic Assessment
• ASCE 41 Acceptance Criteria for a Target Performance Level
– Linear Assessment Procedures
• Deformation-Controlled Actions
• Force-Controlled Actions
1.0UDN
CE
QDCR
m Q
1.0UFN
CL
QDCR
Q
54
2/8/2017
19
Seismic Assessment• ASCE 41 Acceptance Criteria for a Target Performance
Level
– Nonlinear Assessment Procedures
• Deformation-Controlled Actions
• Force-Controlled Actions
1.0
0
elastic
UFyN
CLplastic
TotalQDCR or
QPlastic
,
,
1.0
plastic elastic
y pe p ACUDN
CE plastic
p AC
TotalQ
DCRQ
Plastic
55
Seismic Assessment• ASCE 41 Acceptance Criteria for a Target Performance
Level
– Nonlinear Dynamic Procedure
• 14 Ground Motions
– See NIST reports for selection and scaling of records for each building height
• Take “average”
– Mean (Arithmetic)
– Median
– Mean plus one standard deviation,
– 84th Percentile
56
Seismic Assessment• 8-story ELF-designed SMF Beam-to-Column Connection
Performance, CP at the BSE-2N
0 2 4 6 8 10 12 14
2
3
4
5
6
7
8
Base
Roof
Bay B-C
Nonlinear: DCRN = Total Deformation / Total CP Permissible Deformation
Linear: DCRN = Force / CP Permissible Strength
Flo
or I
D
0 2 4 6 8 10 12 14
Bay C-D
0 2 4 6 8 10 12 14
1 = Left Beam Hinge2 = Right Beam Hinge
Bay D-E
_ y_ _ _ _ _ _ _Nonlinear:
NDP 1-Median NDP 1-Mean NDP 2-Median NDP 2-Mean
NDP 1-84th Percenitle NDP 1-Mean+ NDP 2-84th Percenitle NDP 2-Mean+ NSP 1 (Push to Left) NSP 2 (Push to Left)
Linear: LSP (max 1 or 2) LDP (max 1 or 2)
57
2/8/2017
20
Seismic Assessment• 8-story RSA-designed SMF Beam-to-Column Connection
Performance, CP at the BSE-2N
0 2 4 6 8 10 12 14
2
3
4
5
6
7
8
Base
Roof
Bay B-C
Nonlinear: DCRN = Total Deformation / Total CP Permissible Deformation
Linear: DCRN = Force / CP Permissible Strength
Flo
or I
D
0 2 4 6 8 10 12 14
Bay C-D
0 2 4 6 8 10 12 14
1 = Left Beam Hinge2 = Right Beam Hinge
Bay D-E
Nonlinear: NDP 1-Median NDP 1-Mean NDP 2-Median NDP 2-Mean
NDP 1-84th Percenitle NDP 1-Mean+ NDP 2-84th Percenitle NDP 2-Mean+ NSP 1 (Push to Left) NSP 2 (Push to Left)
Linear: LSP (max 1 or 2) LDP (max 1 or 2)
58
• ELF
• RSA
0 2 4 6 8 10 12 14
2
3
4
5
6
7
8
Base
Roof
Bay B-C
Nonlinear: DCRN = Total Deformation / Total CP Permissible Deformation
Linear: DCRN = Force / CP Permissible Strength
Flo
or I
D
0 2 4 6 8 10 12 14
Bay C-D
0 2 4 6 8 10 12 14
1 = Left Beam Hinge2 = Right Beam Hinge
Bay D-E
_ y_ _ _ _ _ _ _Nonlinear:
NDP 1-Median NDP 1-Mean NDP 2-Median NDP 2-Mean
NDP 1-84th Percenitle NDP 1-Mean+ NDP 2-84th Percenitle NDP 2-Mean+ NSP 1 (Push to Left) NSP 2 (Push to Left)
Linear: LSP (max 1 or 2) LDP (max 1 or 2)
0 2 4 6 8 10 12 14
2
3
4
5
6
7
8
Base
Roof
Bay B-C
Nonlinear: DCRN = Total Deformation / Total CP Permissible Deformation
Linear: DCRN = Force / CP Permissible Strength
Flo
or I
D
0 2 4 6 8 10 12 14
Bay C-D
0 2 4 6 8 10 12 14
1 = Left Beam Hinge2 = Right Beam Hinge
Bay D-E
Nonlinear: NDP 1-Median NDP 1-Mean NDP 2-Median NDP 2-Mean
NDP 1-84th Percenitle NDP 1-Mean+ NDP 2-84th Percenitle NDP 2-Mean+ NSP 1 (Push to Left) NSP 2 (Push to Left)
Linear: LSP (max 1 or 2) LDP (max 1 or 2)
59
Seismic Assessment• 8-story ELF-designed SMF Panel Zone Performance,
CP at the BSE-2N
0.0 0.2 0.4 0.6 0.8 1.0
2
3
4
5
6
7
8
Base
RoofCol. Line B
Nonlinear: DCRN = Total Deformation / Total CP Permissible Deformation
Linear: DCRN = Force / CP Permissible Strength
Flo
or I
D
0.0 0.2 0.4 0.6 0.8 1.0
Col. Line C
0.0 0.2 0.4 0.6 0.8 1.0
Col. Line D
0.0 0.2 0.4 0.6 0.8 1.0
Col. Line E
Nonlinear: NDP Median NDP Mean NDP 84th NDP Mean+ NSP (Push to Left)
Linear: LSP LDP
60
2/8/2017
21
Seismic Assessment• 8-story RSA-designed SMF Panel Zone Performance,
CP at the BSE-2N
0.0 0.2 0.4 0.6 0.8 1.0
2
3
4
5
6
7
8
Base
RoofCol. Line B
Nonlinear: DCRN = Total Deformation / Total CP Permissible Deformation
Linear: DCRN = Force / CP Permissible Strength
Flo
or I
D
0 1 2 3
Col. Line C
0 1 2 3
Col. Line D
0.0 0.2 0.4 0.6 0.8 1.0
Col. Line E
Nonlinear: NDP Median NDP Mean NDP 84th NDP Mean+ NSP (Push to Left)
Linear: LSP LDP
61
Seismic Assessment
1.1
0.95 5940.98
6050.6 1.1
pr x y
bpr
y y c wc
C Z F
dV
V F d t
W24×76 beam frames to a W18×106 column
This indicates that the panel zone may notyield until the connection approaches its peak(probable) strength, generally associated withCP
AISC 358
ASCE 41
-32 -28 -24 -20 -16 -12 -8 -4 0 4 8 12 16 20 24 28 32-1200
-900
-600
-300
0
300
600
900
1200
rang
e of
app
licab
ility
Dif
fere
nce
in B
eam
Mom
ents
, M
(ki
p-in
)
Shear Strain / Yield Shear Strain, /y
Test Data Analysis
Specimen A-2 (Krawinkler 1971)
Strength predicted by AISC 360-10 Eq. J10-11using 0.55F
ye
62
• Force-controlled flexural hinges in SMF columns, P > 0.5PCL
2nd Floor(ELEV = 18 ft.)
3rd Floor(ELEV = 32 ft.)
4th Floor(ELEV = 46 ft.)
5th Floor(ELEV = 60 ft.)
6th Floor(ELEV = 74 ft.)
7th Floor(ELEV = 88 ft.)
8th Floor(ELEV = 102 ft.)
Roof(ELEV = 116 ft.)
B C D E
ELF NDP LS & CPELF NSP LS & CP
RSA NDP LS & CPRSA NSP LS & CP
All columns are deformation-controlled (DC) for flexure unless indicated as force-controlled (FC) in figure
Column is force-controlled for flexure if P > 0.5×PCL, where P is computed at the target displacement for the NSP and as the maximum value for the NDP
Sym. About
11.00
4.48
11.00
2.86 4.48
8.00 8.00
3.58 4.484.48
11.00 11.00
4.72 8.00
4.78
11.00
3.82 4.78
11.00
7.33 8.00
3.82 4.784.78
11.00 11.00
5.07 8.00
11.003.85 4.814.81
11.004.20 8.00
3.85 4.824.81
11.00 11.00
2.00 8.00
11.00
4.81 4.824.81
11.001.00 8.00
4.81
11.00 11.004.81 4.82
1.00 7.47
2.47
11.00
3.86 3.86
11.00
7.82 8.00
3.86 3.8611.00
3.08
11.002.64 8.00
4.48 4.48
11.00
3.58
11.001.00 8.00
4.48 4.48
11.00 11.003.58
1.00 8.00
11.00 11.004.51 4.523.61
2.02 8.00
3.61 4.51 4.52
11.00 11.00
1.00 8.00
3.63 4.54 4.54
11.00 11.00
2.80 7.66
3.63 3.633.63
11.00 11.00
1.00 6.10
m-factorsLSP: ELF
m-factorsLSP: RSA
Nonlinear Procedures:ELF and RSA 63
Seismic Assessment
2/8/2017
22
Seismic Assessment
• 8-story ELF-designed SMF Column Hinge Performance, CP at the BSE-2N
0 1 2 3 4 5 6
2
3
4
5
6
7
8
Base
RoofCol. Line B
Nonlinear: DCRN = Total Deformation / Total CP Permissible Deformation
Linear: DCRN = Force / CP Permissible Strength
Flo
or I
D
0 1 2 3 4 5 6
Col. Line C
0 1 2 3 4 5 6
Col. Line D
0 1 2 3 4 5 6
DCRN for the LSP and
LDP are based oninteraction equations.
Col. Line E
Nonlinear: NDP Median NDP Mean NDP 84th NDP Mean+ NSP (Push to Right)
Linear: LSP (max) LDP (max)
F.C.F.C.
F.C. = Force-Controlled Column 64
Seismic Assessment
• 8-story RSA-designed SMF Column Hinge Performance, CP at the BSE-2N
65
0 2 4 6 8 10
2
3
4
5
6
7
8
Base
RoofCol. Line B
Nonlinear: DCRN = Total Deformation / Total CP Permissible Deformation
Linear: DCRN = Force / CP Permissible Strength
Flo
or I
D
0 2 4 6 8 10
DCRN for the LSP and
LDP are based oninteraction equations.
Col. Line C
0 2 4 6 8 10
Col. Line D
0 2 4 6 8 10
Col. Line E
Nonlinear: NDP Median NDP Mean NDP 84th NDP Mean+ NSP (Push to Right)
Linear: LSP (max) LDP (max)
F.C.F.C.
Seismic Assessment
• Column Hinge Performance
– Deformation-Controlled
– Force-Controlled
66
0.2 1.02
80.2 0.5 1.0
9
yUFUF x
CL CL x CEx y CEy
yUFUF x
CL CL x CEx y CEy
MPP MP P m M m M
MPP MP P m M m M
0.5 1.0UFyUF UF UFx
CL CL CLx CLy
MP P MP P M M
member section
Where did PCL come from?
2/8/2017
23
Seismic Assessment• Column Hinge Performance
67
AISC 360 says ---
Seismic Assessment• Column Hinge Performance
68
Seismic Assessment
• 8-story ELF-designed SCBF Brace Performance, CP at the BSE-2N
69
0.0 0.5 1.0 1.5 2.0 2.5 3.0
2
3
4
5
6
7
8
Base
Roof
T
C
C
T
T
C
DCRN,C controls acceptance
criteria except NSP as indicated
(DCRN,T > DCRN,C at 2nd and 4th
Story)
Left Brace
Nonlinear: DCRN = Total Deformation / Total CP Permissible Deformation
Linear: DCRN = Force / CP Permissible Strength
Flo
or I
D
C
T
C
T
C
T
C
T
T
C
0.0 0.5 1.0 1.5 2.0 2.5 3.0
T = TensionC = Compression
Right Brace
Nonlinear: NDP Median NDP NDP Mean NDP
NDP 84th Percentile NDP Mean+ NSP (Push to Left)
Linear: LSP LDP
2/8/2017
24
Seismic Assessment
• 8-story RSA-designed SCBF Brace Performance, CP at the BSE-2N
70
0.0 0.5 1.0 1.5 2.0 2.5 3.0
2
3
4
5
6
7
8
Base
Roof
T = TensionC = Compression
TC
T
T
C
C
CT
T
C
DCRN,C
controls acceptance
criteria except NSP as indicated
(DCRN,T
> DCRN,C
at 3rd and 6th
Story)
Left Brace
Nonlinear: DCRN = Total Deformation / Total CP Permissible Deformation
Linear: DCRN = Force / CP Permissible Strength
Flo
or I
D
0.0 0.5 1.0 1.5 2.0 2.5 3.0
C
C
C
T
T
T
Right Brace
Nonlinear: NDP Median NDP NDP Mean NDP
NDP 84th Percentile NDP Mean+ NSP (Push to Left)
Linear: LSP LDP
Seismic Assessment
• 8-story EBF Link Performance, CP at the BSE-2N
71
0 1 2 3 4 5 6 7 8 9 10
2
3
4
5
6
7
8
Base
Roof
Nonlinear: DCRN = Plastic Deformation / CP Permissible Deformation
Linear: DCRN = Force / CP Permissible Strength
Flo
or I
D
Nonlinear: NDP Median NDP Mean
NDP 84th Percentile NDP Mean+ NSP (Push to Left)
Linear: LSP LDP
0 1 2 3 4 5 6 7 8 9 10
2
3
4
5
6
7
8
Base
Roof
Nonlinear: DCRN = Plastic Deformation / CP Permissible Deformation
Linear: DCRN = Force / CP Permissible Strength
Flo
or I
D
Nonlinear: NDP Median NDP Mean
NDP 84th Percentile NDP Mean+ NSP (Push to Left)
Linear: LSP LDP
ELF-Designed Frame RSA-Designed Frame
Seismic Assessment
• 8-story ELF-designed BRBF Brace Performance, CP at the BSE-2N
72
0.0 0.5 1.0 1.5 2.0 2.5 3.0
2
3
4
5
6
7
8
Base
Roof
T
C
Flo
or I
D
T
C
T
C
T
C
T
C
T
C
T
C
T
C
T
C
T
C
T
C
T
0.0 0.5 1.0 1.5 2.0 2.5 3.0
T = TensionC = Compression
Nonlinear: DCRN = Total Deformation / Total CP Permissible Deformation
Linear: DCRN = Force / CP Permissible Strength
Nonlinear: NDP Median NDP NDP Mean NDP
NDP 84th Percentile
NDP Mean+ NSP (Push to Left)
Linear: LSP LDP
Left Brace Right Brace
2/8/2017
25
Seismic Assessment
• 8-story RSA-designed BRBF Brace Performance, CP at the BSE-2N
73
0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0 4.5 5.0 5.5 6.0
2
3
4
5
6
7
8
Base
Roof
Floo
r ID
C
T
C
T
C
T
C
T C
T
C
T
C
T
C
T
Left Brace
T = TensionC = Compression
Right Brace
0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0 4.5 5.0 5.5 6.0
Nonlinear: DCRN = Total Deformation / Total CP Permissible Deformation
Linear: DCRN = Force / CP Permissible Strength
Nonlinear: NDP Median NDP NDP Mean NDP
NDP 84th Percentile NDP Mean+ NSP (Push to Left)
Linear: LSP LDP
Statistical Analysis for NDP• ASCE 41 §7.4.4.3:
– Where component response is independent of the direction of action, the average shall be calculated as the mathematical mean of the maximum absolute response from each response history analysis
– Where component response is dependent on the direction of action, the average response parameter shall be calculated independently for each direction and axis as the mathematical means of the maximum positive and minimum negative response from each response history analysis.
• Assumption of distribution type– Normal
– lognormal
74
Statistical Analysis for NDP• 8-story ELF-designed SMF Beam-to-Column Connection
Performance, CP at the BSE-2N – Hinge 1 (left) – 3 col– Positive and negative action lead to same damage state
0 1 2 3
2
3
4
5
6
7
8
Base
Roof
Hinge 1Bay D-E
Floo
r ID
DCRN = Total Deformation / Total CP Acceptance Criteria
A.M. - 14 Records A.M. - 28 Records LgN.M. - 14 Records LgN.M. - 28 Records
A.M. = (Arithmetic) Meanof Normal DistrubtionLgN.M. = Mean of LognormalDistribution
EQ +DCR -DCR Max1 0.502 0.210 0.5022 0.629 0.115 0.6293 0.418 0.475 0.4754 0.348 0.603 0.6035 0.351 0.303 0.3516 0.453 0.196 0.4537 0.578 0.176 0.5788 0.053 11.714 11.7149 0.457 0.311 0.457
10 0.164 11.293 11.29311 0.690 0.236 0.69012 0.054 0.52 0.52013 0.238 6.303 6.30314 1.407 0.297 1.407
2.57NDMean 2.24LogNDMean
0.45NDMean 2.34NDMean
ND = Normal Distribution
28 1.40NDMean
75
2/8/2017
26
Statistical Analysis for NDP• 8-story ELF-designed SCBF Brace Performance, CP at
the BSE-2N – 1st Story (all completed)– Positive and negative action do not lead to same damage state
1.20LogNDMean
Left Brace Right BraceEQ T C T C1 0.094 1.134 0.127 1.0262 0.162 1.723 0.087 0.9373 0.139 3.136 0.610 1.0334 0.096 0.752 0.085 0.9835 0.533 0.285 0.528 3.4966 0.271 2.007 0.092 1.8507 0.094 0.818 0.081 0.8818 0.111 1.062 0.095 0.7219 0.091 1.532 0.146 1.10710 0.073 0.558 0.096 0.45911 0.104 0.748 0.089 1.20612 0.09 1.516 0.092 0.73313 0.125 1.333 0.115 1.18314 0.075 0.897 0.088 1.319
1.27NDMean 1.27LogNDMean
1.21NDCMean
0.17NDTMean
1.56NDLRCMean
28 1.23NDLRCMean
0.19NDLRTMean
28 0.16NDLRTMean
1.25NDCMean
0.15NDTMean
1.21NDMean
76
Statistical Analysis for NDP• 8-story ELF-designed BRBF Brace Performance, CP at
the BSE-2N – 1st Story (all completed)– Positive and negative action lead to possibly same damage state
1.13NDMean 1.14LogNDMean
Left Brace Right BraceEQ T C T C1 0.695 0.32 0.248 0.7772 0.510 0.475 0.391 0.5793 1.043 0.163 0.099 1.1534 0.055 1.298 1.192 0.0925 0.076 1.242 1.133 0.1286 1.291 0.606 0.52 1.3737 2.211 1.02 0.994 2.3048 0.777 0.318 0.248 0.8689 0.455 0.218 0.154 0.54410 0.789 0.11 0.054 0.88911 0.198 0.779 0.692 0.25612 0.683 0.607 0.552 0.7713 2.617 0.416 0.338 2.79514 0.497 1.48 1.393 0.566
1.18NDMean 1.17LogNDMean
0.65NDCMean
0.85NDTMean
1.20NDLRCMean
28 0.79NDLRCMean
1.11NDLRTMean
28 0.71NDLRTMean
0.94NDCMean
0.57NDTMean
77
Assessment Conclusions
• Many conclusions and observations are detailed in NIST reports. Too many to discuss here.
• Primary Observations
– Analytical results based on component-level performances indicate that new SFRSs designed in accordance with ASCE 7, and its referenced standards, can have difficulty achieving the ASCE 41 BSO for an existing building intended to be equivalent to a new building. This observation is driven by the performance of the specific system components
– Assuming the archetype buildings meet the collapse performance objective of ASCE 7, the results of the assessment procedures indicate that ASCE 41 is generally conservative for steel SFRSs. ASCE 41 analysis would require retrofit or replacement of specific components of a code-compliant SFRS to satisfy the CP BPL, given an MCE event
78
2/8/2017
27
Assessment Conclusions– A significant number of columns, primarily at the base of the
frames, did not satisfy the ASCE 41 acceptance criteria (force-controlled). The results for columns can be enhanced by more mechanistically consistent assessment provisions and analytical modeling parameters for columns
– Results from this study indicate that for ASCE 41 to be used as a seismic design procedure for new steel buildings, as a performance-based alternative to ASCE 7 (see ASCE 7 §1.3.1.3), acceptance criteria for the various analysis methods must be calibrated to each other to consistently result in a uniform collapse risk (e.g., 10% P(collapse) given MCE shaking).
– NIST reports provide comprehensive list of recommend future research
79
Assessment Conclusions• Link between ASCE 7 and ASCE 41
– acceptance criteria for a component in ASCE 41 are not directly calibrated to the seismic performance objective of ASCE 7 (10% probability of partial or total collapse given an MCE event—or 1% probability of partial or total collapse in 50 years).
– equating the two objectives of the standards would imply that only one structural performance level with an associated earthquake hazard level can be coupled: CP at the MCER. However, this would be difficult based on a member-level binary performance solution in ASCE 41. What percentage of components needs to fail the associated CP SPL to achieve a 10% probability of total or partial collapse given an MCER event?
– Future research should assess the archetype buildings in FEMA P695 analysis to ascertain the collapse probability in relation to the ASCE 7 performance objective. Results from that study can be used to probabilistically relate the R-factor in ASCE 7 to the m-factors and inelastic deformations using story drift. 80
Assessment Conclusions• Link between ASCE 7 and ASCE 41
– A consequence of a deterministic-type component evaluation (i.e., pass or fail) is that analytical results, depending on the accuracy of the model and analysis algorithms, can be independent of the behavior of the system. Individual member performance and the potential need to retrofit or replace it are therefore based on an analysis output rather than the influence of the component performance on the system performance.
– ASCE 41 is available now and being used for PBSD of building systems and components. In many cases, the acceptance criteria in ASCE 41 are being used to justify computed seismic performance to buildings officials as being satisfactory. The question is what seismic performance is being justified: the objective defined in ASCE 41 or that intended in ASCE 7?
81
2/8/2017
28
Changes to the Provisions for Seismic Evaluation of Structural Steel Components in ASCE 41-17 and AISC 342
82
Introduction• Since the inception of the provisions in FEMA 273 in
1997, there has not been a significant update to what isnow found in Chapter 9 Steel in ASCE 41-13.
– with the exception of modifications to some provisions in FEMA356 in 2000 which primarily focused on implementing the resultsfrom the SAC project.
– some new material was introduced in ASCE 41-06 and ASCE41-13 regarding buckling-restrained braced frames and steelplate shear walls.
• Significant effort was made this code cycle to update theprovisions for evaluation of structural steel components
83
Introduction• Parallel with the ASCE 41-17 efforts, work is ongoing at
American Institute of Steel Construction (AISC) todevelop a standard focusing on the seismic evaluationand retrofit of existing structural steel buildings. Thisstandard is currently referred to as AISC 342: SeismicEvaluation and Retrofit of Structural Steel Buildings.
– the work has highlighted differences between provisions forevaluation of a structural steel component and provisions fordesign of the same component in accordance with AISC 360 andAISC 341.
– effort to align the standards where needed is important becauseASCE 41 is beginning to see use for the design of new steelbuildings in order to demonstrate seismic performance.
84
2/8/2017
29
Revised Provisions in Ch. 9The revisions presented are preliminary until after balloting has beencompleted and ASCE 41-17 has gone through the public reviewprocess. Some material shown here may change.
• Revision 1: Material Properties for HSS Added to ASCE 41 Table 9-1
• Revision 2: Shear Deformation Included in Yield Chord Rotation ofBeams and Columns
• Revision 3: Axial Load Effects Added to Link Beams
• Revision 4: Axial Load Effects Added to Panel Zones
• Revision 5: Revised Yield Surface for Column Hinges
• Revision 6: Revised Column Assessment Provisions
• Revision 7: Acceptance Criteria Added for Weak Panel Zones
85
Revision 1• Revision 1: Material Properties for HSS Added to ASCE 41
Table 9-1• Values are taken as mean minus one standard deviation reduced by 10%
to account for uncertainties in material values during coupon testing at themills and the variation of material properties between cross-sectionelements—aligns with current approach in existing values in Table 9-1.
Material Shape Samples Strength Mean Mean- 0.9×(Mean-)
Ratio to Mean
FLBTranslation
Factor
A53 Gr. B Round 1362Yield 56 4.9 51 46 1.22 45 1.2
Tensile 64 4.3 60 60 1.07 60 1.1
A500 Gr. B
Round 3603Yield 61 6.4 54 49 1.24 48 1.2
Tensile 69 6.3 63 58 1.19 60 1.2
Rectangular 72144Yield 60 5.4 55 49 1.22 50 1.2
Tensile 73 5.4 68 61 1.20 62 1.2
A500 Gr. C
Round 1149Yield 61 6.4 55 49 1.24 50 1.2
Tensile 73 5.5 67 62 1.17 62 1.2
Rectangular 14140Yield 62 5.8 56 51 1.23 50 1.2
Tensile 74 5.1 59 62 1.19 62 1.2
A1085 Gr. A(50 ksi)
Rectangular 2240
Yield 62 5.5 57 51 1.22 50 1.25
Tensile 75 4.7 70 65 1.16 65 1.25
86
Revision 2• Revision 2: Shear Deformation Included in Yield Chord
Rotation of Beams and Columns
• The term (1+) is added to account for the increase in the elasticcurve for shear deformation. Aligns links with beams and columns.
• Nomenclature to align with AISC standards
1
6pce
yb
M L
E I
for 0.2 12
9for 0.2 1
8
peye ye
CE pce
peye ye
P PM
P PM M
P PM
P P
2
12
s
EI
L GA
87
2/8/2017
30
Revision 3• Revision 3: Axial Load Effects Added to Links Beams
• P-V interaction added to strength and acceptance criteria of linkswhen P / Pye > 0.2.
• Reduction because tests have shown that link beams subjected toshear and axial force show premature flange and web buckling ascompared to a case with no axial load.
• Align with AISC standards
2
for 0.2 0.6
for 0.2 0.6 1
ye sye
CE ye
ye sye ye
PF A
PV V
P PF A
P P
88
Revision 4• Revision 4: Axial Load Effects Added to Panel Zones
• P-V interaction added to strength and acceptance criteria of panelzones when P / Pye > 0.4.
• Align with AISC standards
2
13
yey y
ye
F P
PG
for 0.4 0.55
for 0.4 0.55 1.4
ye c pye
CE ye
ye c pye ye
PF d t
PV V
P PF d t
P P
89
Revision 5• Revision 5: Revised Yield Surface for Column Hinges
• Revised P-M interaction for the plastic capacity of a column hinge.
• Align with AISC standards
for 0.2 12
9for 0.2 1
8
peye ye
CE pce
peye ye
P PM
P PM M
P PM
P P
90
2/8/2017
31
Revision 6• Revision 6: Revised Column Assessment Provisions
• Axial force basis revised from P / PCL to P / Pye (back to FEMA 273)
• Column not force-controlled for flexure at P / PCL > 0.5. No flexuralyielding when some axial load > 0.6Pye.
• Web compactness criteria revised to align with AISC standards
0.2 2.45 1 0.71
0.2 0.77 2.93 1.49
ye w ye ye
ye w ye ye ye
P h E P
P t F P
P h E P E
P t F P F
0.2 3.76 1 1.83
0.2 1.12 2.33 1.49
ye w ye ye
ye w ye ye ye
P h E P
P t F P
P h E P E
P t F P F
Compact sections
Noncompact sections
91
Revision 6• Revision 6: Revised Column Assessment Provisions
• Nonlinear acceptance criteria revised for columns in compression
• Regression analysis performed on the first cycle envelope of thehysteresis of 220 column specimens that were subjected to fully-reversed cyclic loading protocols using revised axial load basisand web compactness and constant axial load, PG.
Modelling Parameters Acceptance Criteria
Plastic rotation angle a and b (radians)Residual strength ratio c
Plastic rotation angle (radians)Performance Level
IO LS CPColumns in Compression—Flexure
0.5a 0.75b b
2.2 1
0.8 1 0.1 0.8 0.0035 0G
ye y w
P L ha
P r t
2.3 1
7.4 1 0.5 2.9 0.006 0G
ye y w
P L hb
P r t
0.9 0.9 G
ye
Pc
P
Compactsections
92
Revision 6• Revision 6: Revised Column Assessment Provisions
• Nonlinear acceptance criteria revised for columns in compression
• Regression analysis performed on the first cycle envelope of thehysteresis of 220 column specimens that were subjected to fully-reversed cyclic loading protocols using revised axial load basisand web compactness and constant axial load, PG.
Modelling Parameters Acceptance Criteria
Plastic rotation angle a and b (radians)Residual strength ratio c
Plastic rotation angle (radians)Performance Level
IO LS CPColumns in Compression—Flexure
0.5a 0.75b b
Noncompactsections
1.2 1
1.2 1 1.4 0.1 0.9 0.0023 02
fG
ye y w f
bP L ha
P r t t
1.8 1
2.5 1 0.1 0.2 2.7 0.0097 02
fG
ye y w f
bP L hb
P r t t
0.5 0.5 G
ye
Pc
P
93
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32
Revision 6• Revision 6: Revised Column Assessment Provisions
• Linear acceptance criteria for columns revised slightly
0.00
1.00
2.00
3.00
4.00
5.00
6.00
7.00
8.00
9.00
0 0.1 0.2 0.3 0.4 0.5 0.6 0.7
m‐factor for flexure
Axial Load Ratio, P / Pye
ASCE 41 IO
ASCE 41 LS
ASCE 41 CP
Proposed IO
Proposed LS
Proposed CP
P-M interaction equationsresult in m = 1 when noyielding is permitted
94
Revision 6• Revision 6: Revised Column Assessment Provisions
• Acceptance criteria revised to a two-step process
– Step 1: Verify capacity of plastic hinge using the yield surface
0.22
80.2
9
UDyUFUF UDx
ye ye x pex y pey
UDyUFUF UDx
ye ye x pex y pey
MPP MP P m M m M
MPP M
P P m M m M
Linear assessment is shown here, nonlinear assessment is similar—plastic rotation verified directly from the yield surface model.
95
Revision 6• Revision 6: Revised Column Assessment Provisions
• Acceptance criteria revised to a two-step process
– Step 2: Verify stability of member
0.22
80.2
9
0.75
UyUFUF Ux
ye CL x CxLTB y Cy
UyUFUF Ux
ye CL x CxLTB y Cy
UF
ye
MPP MP P m M m M
MPP MP P m M m M
P
P
Linear assessment is shown here, nonlinear assessment is similar.
Example of verification of acceptance criteria is provided in paper96
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33
Revision 6• Revision 6: Revised Column Assessment Provisions
• Acceptance criteria revised to a two-step process
Linear assessment is shown here, nonlinear assessment is similar.
97
0
500
1000
1500
2000
2500
3000
0 50000 100000 150000 200000 250000
Axi
al F
orce
, P(k
ips)
Moment, Mx (kip-in)
Yield Surface
Hinge Strength
Member Strength
Demand
Revision 6• Revision 6: Revised Column Assessment Provisions
ASCE 41-13
98
0.0
0.2
0.4
0.6
0.8
1.0
0.0
0.5
1.0
1.5
2.0
2.5
3.0
3.5
4.0
0
1
2
3
4
5
6
7
Primary Component
Notes:1. Knowledge Factor, , taken as unity.2. Beam-Column with P / Pye < 0.1 can be treated as a beam.
m-factorAxial Load Ratio, P/PCL
ye
E
F
Life Safety
0.6
50
CL ye
ye y
P P
F F ksi
ASCE 41 Group A Compactness Limit ASCE 41 Group B Compactness Limit AISC 341-10 HD Compactness Limit AISC 341-10 MD Compactness Limit
Wid
th-t
o-T
hick
ness
Rat
io, h
/tw
0.0
0.2
0.4
0.6
0.8
1.0
0.0
0.5
1.0
1.5
2.0
2.5
3.0
3.5
4.0
0
1
2
3
4
5
6
7
Primary Component
Notes:1. Knowledge Factor, , taken as unity.2. Beam-Column with P / Pye < 0.1 can be treated as a beam.
m-factorAxial Load Ratio, P/PCL
ye
E
F
Life Safety
0.6
50
CL ye
ye y
P P
F F ksi
ASCE 41 Group A Compactness Limit
Wid
th-t
o-T
hick
ness
Rat
io, h
/tw
ASCE 41-17
Revision 6
ASCE 41-13
99
ASCE 41-17
0 2 4 6 8 10
2
3
4
5
6
7
8
Base
RoofCol. Line B
Nonlinear: DCRN = Total Deformation / Total CP Permissible Deformation
Flo
or I
D
0 2 4 6 8 10
Col. Line C
0 2 4 6 8 10
Col. Line D
0 2 4 6 8 10
Col. Line E
Nonlinear: NDP Median NDP Mean NDP 84th NDP Mean+
0 2 4 6 8 10
2
3
4
5
6
7
8
Base
RoofCol. Line B
Nonlinear: DCRN = Total Deformation / Total CP Permissible Deformation
Linear: DCRN = Force / CP Permissible Strength
Flo
or I
D
0 2 4 6 8 10
DCRN for the LSP and
LDP are based oninteraction equations.
Col. Line C
0 2 4 6 8 10
Col. Line D
0 2 4 6 8 10
Col. Line E
Nonlinear: NDP Median NDP Mean NDP 84th NDP Mean+ NSP (Push to Right)
Linear: LSP (max) LDP (max)
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34
Revision 7• Revision 7: Acceptance Criteria Added for Weak Panel
Zones
• Weak panel zones can be a primary source of inelastic actions
• Large panel zone deformations can trigger CJP weld fracture.
• Independent of criteria for beam-to-column connections
• Equations are applicable for welds that meet AISC 341 CVNrequirements and estimated for pre-Northridge era welds.
,
2
,
0.183 3.451
2 p pz
y
ye cf
F P
G P
b
cf
d
t
plastic shear strain computedfrom ASCE 41 Table 9-6
100
ASCE 41-17 Revision Notes
• Significant effort was made this code cycle to update the provisions for evaluation of structural steel components
• More updates will be forthcoming as AISC 342 progresses
101
Thank you
Q & A
102
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35
Lower-bound and ExpectedMaterial Properties for Structural Steel
ASCE 41 Table 9-1 and 9-3
Jay Harris• Chair, ASCE 41 Steel Subcommittee
• Vice-Chair, AISC Task Committee 7, Evaluation and Retrofit
History of Table 9-1• FEMA 273 Table 5-2
• The term “expected” represents “lower-bound”. There was no translation factor. One material property used for both QCE and QCL. However, FEMA 274 recommended a second analysis be done using an upper-bound material property for braces and beams that is 30 to 50% greater than the values given in Table 5-2 while using lower-bound values for columns and connections.
• Note 1: Values for pre-1960 steels were taken from Iron and Steel Beam 1873 to 1952 . These values are based on minimum specified material properties.
• Tensile strength taken as lower of the range specified in reference document.
• Note 2 is not applicable to these steels.
104
• FEMA 273 Table 5-2• The term “expected” represents
“lower-bound”. There was no translation factor. One material property used for both QCE and QCL. However, FEMA 274 recommended a second analysis be done using an upper-bound material property for braces and beams that is 30 to 50% greater than the values given in Table 5-2 while using lower-bound values for columns and connections.
• Note 1 is not applicable to these steels. Values for post-1960 steels came from SAC project—FEMA 351 Table 2-7 (and also FEMA 355F Table 4-3 and 8-1)—based on Statistical Analysis of Tensile Data for Wide-Flange Structural Shapes (K. Frank and D. Read 1994)
• FEMA 351 values are applicable for wide-flange shapes and extracted from the web—recommend a 5% reduction for flanges.
• “Lower-bound” values in FEMA 273 were reduced by 10% from those given in FEMA 351 Table 2-7—see next slide.
105
History of Table 9-1
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36
History of Table 9-1• 1994 Report to SSPC - K. Frank and D. Read
• Statistical Analysis of Tensile Data for Wide-Flange Structural Shapes (K. Frank and D. Read 1994)
• Data is for web steel
106
History of Table 9-1• FEMA 351 Table 2-7 (FEMA 355F Table 4-3 and 8-1)
• Both “lower-bound” and “expected” are provided.
• Expected properties are mean values of the data sets from Statistical Analysis of Tensile Data for Wide-Flange Structural Shapes.
• Lower-bound properties are mean minus two standard deviations values of the data sets. Generally slightly higher than minimum specified (or “nominal”).
• Values are applicable for wide-flange shapes and extracted from the web. Reduce values by 5% for flange properties.
• FEMA 273 reduced “lower-bound” values by 10% to account for rate of loading effects. Mill certificates are typically higher due to testing speed—see FEMA 355F Ch. 8. Other factors included in 10% – like variations between web and flange?
107
History of Table 9-1• FEMA 273 – FEMA 351 (Yield Stress)
Steel
FEMA 351 FEMA 273
Mean"Expected"
Std. Dev.Mean – 2
"Lower-Bound"“LB”×0.9 "Expected"
ASTM A36 Group 1 51 5.00 41 36.9 37Group 2 47 4.00 39 35.1 35Group 3 46 5.00 36 32.4 32Group 4 44 5.00 34 30.6 30Group 5 47 4.00 39 35.1 35
ASTM A572 Group 1 58 5.50 47 42.3 41Group 2 58 5.00 48 43.2 42Group 3 57 3.50 50 45.0 44Group 4 57 4.00 49 44.1 43Group 5 55 2.50 50 45.0 44
ASTM A36 Dual Grade 50
Group 1 55 3.50 48 43.2 43Group 2 58 5.00 48 43.2 43Group 3 57 2.50 52 46.8 46Group 4 54 2.00 50 45.0 44
108
=
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37
History of Table 9-1• FEMA 356 Table 5-2
• The term “expected” changed to “lower-bound” for consistency.
• Developed the translation factor from lower-bound to expected for QCE and QCL.
• Note 1: Values for pre-1960 steels were taken from Iron and Steel Beam 1873 to 1952 . These values are based on minimum specified material properties.
• Values for pre-1960 steels match FEMA 273, with a few simplifying changes. ASCE 41-13 changed some rivet steel properties.
• Note 2 is not applicable to all steels listed.
109
History of Table 9-1• FEMA 356 Table 5-2 (cont.)
• The term “expected” changed to “lower-bound” for consistency.
• Developed the translation factor (Table 5-3) between lower-bound and expected for QCE and QCL.
• Note 1: Values for post-1960 steels are changed from FEMA 273 to mean minus one standard deviation. Generally slightly higher than minimum specified (or “nominal”).
• FEMA 356 does not mention the 10% reduction, but it is maintained in the revised values—see next slide.
• Note 2: Values representative of material extracted from flanges of wide-flange shapes. This is a change from FEMA 351 which states extracted from web. (Uncertain?: 10% reduction exceeds the recommended 5% reduction in FEMA 355F – but for different reasons.)
110
History of Table 9-1 and 9-3• FEMA 356 – FEMA 273 (Yield Stress)
Steel
FEMA 351 FEMA 273 FEMA 356
Mean"Expected"
Std. Dev.
Mean – 2"Lower-Bound"
“LB”×0.90.9×(Mean – 2)
"Expected"Eq. (1)
Mean – "Lower-Bound"
MeanMean –
ASTM A36 Group 1 51 5.00 41 36.9 37 44.0 44 1.10Group 2 47 4.00 39 35.1 35 41.0 41 1.09Group 3 46 5.00 36 32.4 32 39.0 39 1.12Group 4 44 5.00 34 30.6 30 37.0 37 1.13Group 5 47 4.00 39 35.1 35 41.0 41 1.09
ASTM A572 Group 1 58 5.50 47 42.3 41 49.5 50 1.10Group 2 58 5.00 48 43.2 42 50.0 50 1.10Group 3 57 3.50 50 45.0 44 50.5 51 1.06Group 4 57 4.00 49 44.1 43 50.0 50 1.08Group 5 55 2.50 50 45.0 44 49.5 50 1.05
ASTM A36 Dual Grade 50
Group 1 55 3.50 48 43.2 43 49.0 49 1.07Group 2 58 5.00 48 43.2 43 50.5 50 1.10Group 3 57 2.50 52 46.8 46 51.5 52 1.04Group 4 54 2.00 50 45.0 44 49.0 49 1.05
FEMA 356 = Mean – one std. dev.
Eq. (1) FEMA 356 = Expected (FEMA 351) – ((Expected (FEMA 351) – Expected (FEMA 273)) / 2)
• Translation factor between lower-bound and expected for QCE and QCL.
• FEMA 356 does not mention the 10% reduction, but it is maintained in the revised values—see Eq. (1).
• Values representative of material extracted from flanges of wide-flange shapes. Since 10% reduction was maintained, this reduction could convert web to flange, but then partially removes the concept of revising values from the original mill certificates for rate of loading effects.
111
=
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38
History of Table 9-1 and 9-3• FEMA 356 Table 5-3
• Develop the translation factor between lower-bound and expected for QCE and QCL.
• Values for post-1960 steels range from 1.05 to 1.10 and are based on mean / 0.9×(mean – 1).
• Values for pre-1960 steels selected as 1.10. Value matches potential range of tensile stress but uncertain if applicable to yield stress (no range specified in ref. doc).
• Last line item is for all steels not listed—not conforming to a listed ASTM specification (e.g., A500 Grade B HSS).
112
History of Table 9-1 and 9-3
• A992 Added to ASCE 41-06 – 2003 Report to SSPC• 2000
113
Paradox of ASCE 41-13 Ch. 9• ASCE 41-13 Section 9.2.2
• “For material grades not listed in Table 9-1, lower-bound material properties shall be taken as nominal or specified properties or shall be based on tests where the material grade or specified value is not known.”
• “Nominal material properties specified in AISC 360 or properties specified in construction documents shall be taken as lower-bound material properties.”
• Nominal or specified properties from the ASTM specification (i.e., AISC 360) are minimum specified material property.
• “Corresponding expected material properties shall be calculated by multiplying lower-bound material values by an appropriate factor taken from Table 9-3 to translate from lower-bound to expected values.”
• Table 9-3, the factor is 1.1 for all steels not listed.
Take for example, ASTM A500 Grade B HSS rectangular shape.
• Not listed in Table 9-2; therefore, Fy,LB = Fy,n = 46 ksi
• Fy,e = 1.1×46 = 50.6 ksi
• New Steel Design [Fy,e = RyFy = 1.4×46) = 64.4 ksi (27% higher than above)]
• QCE can be underestimated, QCL can be overly conservative.
114
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39
Paradox of ASCE 41-13 Ch. 9• ASCE 41-13 Section 9.2.2
• “For material grades not listed in Table 9-1, lower-bound material properties shall be taken as nominal or specified properties or shall be based on tests where the material grade or specified value is not known.”
• Need to define “Nominal” or specified properties in the ASTM specification as the minimum specified material property.
• “Corresponding expected material properties shall be calculated by multiplying lower-bound material values by an appropriate factor taken from Table 9-3 to translate from lower-bound to expected values.”
• Add text about using Ry for known steels adopted in AISC 341 to be used with minimum specified properties per ASTM Specification only.
• In a perfect world,• Fy,e = RyFy
• Fy,LB = RLBRyFy where RLB a factor that reduces expected to lower-bound
115
How do we add steels to Table 9-1?• Add A500 Gr. B and C and A53 Gr. B to Table 9-1
• Take “expected” value as the mean value of a large data set.• Include all sizes, not just ones that satisfy AISC 341 requirements
• Take “lower-bound” value as the mean minus one standard deviation value, multiplied by an adjustment factor
• Adjust value by reducing by 10% for loading rate effects.• Is 10% the best choice or does it include multiple effects, like conversion of web to flange
properties? For an HSS, 10% may be too high since there is no flange? Reduction value could even be different between a round and rectangular shape?
• Value should not be less than ASTM Specification (minimum specified property).
• Compute translation factor as the ratio of expected / lower-bound.
116
• A53 Gr. B Pipe• Round Shapes (2 data sets from multiple producers)
A53 Grade B (738 Tests) PipeYield Tensile
Mean 56 63
Std Dev. 4.5 2.9
Mean-1 52 60
Factor 1.21 1.05
10% reduction 46 60
15% Pecentile 51 60
Nominal 35 60
A53 Grade B (228 Certs, 571 Tests) Pipe
Yield Tensile
Mean 56 69
Std Dev. 6.0 3.9
Mean-1 50 66
Factor 1.25 1.16
10% reduction 45 60
15% Pecentile 48 66
Nominal 35 60
Fy,LB = 45 ksi
Ft,LB = 60 ksi
Translation Factor = 1.2 and 1.1
Ft,LB = Ft,n
117
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40
• A500 Gr. B Round and Rectangular
• Round Shapes
• Rectangular Shapes
A500 Grade B (25 Certs, 645 tests) Round
Yield Tensile
Mean 57 72
Std Dev. 4.3 3.3
Mean-1 53 69
Factor 1.19 1.16
10% reduction
48 62
15% Pecentile
53 70
Nominal 42 58
A500 Grade B (2958 Tests) RoundYield Tensile
Mean 61 69
Std Dev. 6.4 6.4
Mean-1 54 63
Factor 1.24 1.19
10% reduction 49 58
15% Pecentile 54 62Nominal 42 58
A500 Grade B (31264 Tests) RectangularYield Tensile
Mean 60 73
Std Dev. 5.4 5.4
Mean-1 55 68
Factor 1.22 1.2010%
reduction49 61
15% Pecentile 58 68
Nominal 46 58
A500 Grade B (309 Certs, 40880 Tests) Rect
Yield Tensile
Mean 60 74
Std Dev. 4.9 3.0
Mean-1 55 71
Factor 1.20 1.16
10% reduction
50 64
15% Pecentile
56 72
Nominal 46 58
Fy,LB = 48 ksi
Ft,LB = 60 ksi
Translation Factor = 1.2
Fy,LB = 50 ksi
Ft,LB = 62 ksi
Translation Factor = 1.2
Ft,LB = Ft,n
118
• A500 Gr. C Round and Rectangular• Round Shapes
• Rectangular ShapesA500 Grade C (14140 Tests) Rectangular
Yield Tensile
Mean 62 74
Std Dev. 5.8 5.1
Mean-1 56 69
Factor 1.23 1.1910%
reduction51 62
15% Pecentile
62 72
Nominal 50 62
A500 Grade C (1149 Tests) RoundYield Tensile
Mean 61 73
Std Dev. 6.4 5.5
Mean-1 55 67
Factor 1.24 1.1710%
reduction49 62
15% Pecentile
55 68
Nominal 46 62
Fy,LB = 50 ksi
Ft,LB = 62 ksi
Translation Factor = 1.2
Fy,LB = 50 ksi
Ft,LB = 62 ksi
Translation Factor = 1.2
Ft,LB = Ft,n
Ft,LB = Ft,n119
same
• A1085 Gr. A 50 ksi Rectangular• Rectangular Shapes
• Pure A1085 data only, does not include A500 Gr. C that satisfies A1085
• A1085 has an Ry value of 1.25 in AISC 341-16. • What is the effect of cold-forming the HSS on Ry for section strength?
A1085 (24 Certs) RectangularYield Tensile
Mean 60 73
Std Dev. 2.2 3.5
Mean-1 57 69
Factor 1.15 1.12
10% reduction 52 65
15% Pecentile 57 69
Nominal 50 65
Fy,LB = Fy,n = 50 ksi
Ft,LB = Ft,n = 65 ksi
Translation Factor = Ry = 1.25
120
A1085 (2216 Certs) RectangularYield Tensile
Mean 62 75
Std Dev. 5.5 4.7
Mean-1 57 70
Factor 1.22 1.16
10% reduction 51 65
15% Pecentile 57 71
Nominal 50 65
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41
• A501 Gr. B Round and Rectangular• Round Shapes
• Rectangular ShapesA501 Grade B (402 Tests) Rectangular
Yield Tensile
Mean 59 76
Std Dev. 5.2 2.8
Mean-1 54 74
Factor 1.18 1.09
10% reduction
50 70
15% Pecentile
54 73
Nominal 50 70
A501 Grade B (196 Tests) RoundYield Tensile
Mean 58 76
Std Dev. 4.5 2.8
Mean-1 54 74
Factor 1.16 1.09
10% reduction
50 70
15% Pecentile
54 74
Nominal 50 70
Fy,LB = 50 ksi
Ft,LB = 70 ksi
Translation Factor = 1.15 and 1.1
Fy,LB = 50 ksi
Ft,LB = 70 ksi
Translation Factor = 1.15 and 1.1
Fy,LB = Fy,n
Ft,LB = Ft,n
Fy,LB = Fy,n
Ft,LB = Ft,n121
same