R. A. Cook ACI Atlanta 2007 Hot Topic APPLICATIONS ANCHORAGE TO CONCRETE - SELECTION AND DESIGN • Fasten an Attachmen
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R. A. Cook
ACI Atlanta 2007 Hot Topic
APPLICATIONS ANCHORAGE TO CONCRETE - SELECTION AND DESIGN
• Fasten an Attachment (Concrete, Steel, or Timber Element) to Concrete, e.g. – Precast element to precast element – Roof truss to tilt-up concrete wall – Steel column to concrete footing – Wood frame to concrete – Connections to concrete in general
Ronald A. Cook, Ph.D., P.E. Professor Department of Civil Engineering University of Florida
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University of Florida Department of Civil Engineering
University of Florida Department of Civil Engineering
General Types of Anchors Covered by ACI 318-05
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Overview:
Not Covered by ACI 318-05
• How today’s codes and standards work together for selection of anchors: – Design – Product Approval • Design and product approval considerations – Cast-in-Place – Post-Installed Mechanical – Bonded Cast-in-Place
Mechanical Undercut Expansion Screw
University of Florida Department of Civil Engineering
Bonded Grouted Adhesive
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What “Design” and “Product Approval” Mean in Today’s Codes and Standards for Anchorage to Concrete
University of Florida Department of Civil Engineering
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How Today’s Codes and Standards Work for Selection of Anchors: Design and Product Approval
• Design: – Based on Strength (LRFD) design concepts – No more “Allowable Load” Tables – Requires the expertise of a Professional Engineer
• Product Approval – Must be based on criteria that are “in-sync” with the design provisions University of Florida Department of Civil Engineering
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• Cast-in-place anchors • Post-installed mechanical anchors • Screw anchors • Bonded anchors – Adhesive anchors – Grouted anchors University of Florida Department of Civil Engineering
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R. A. Cook
ACI Atlanta 2007 Hot Topic
Design of CastCast-inin-Place Anchors
CastCast-inin-Place Anchors
hef
hef = Effective Embedment Depth
IBC 2006 §1912 7
University of Florida Department of Civil Engineering
IBC– IBC–2006 Provisions
ACI 318-05 §8.1.3
ACI 318-05 Appendix D 8
University of Florida Department of Civil Engineering
ACI 318318-05 Provisions • Appendices are generally not mandatory • ACI 318 Chapter 8 “Analysis and Design – General Considerations” §8.1.3 makes Appendix D mandatory: 8.1.3 — Anchors within the scope of Appendix D, Anchoring to Concrete, installed in concrete to transfer loads between connected elements shall be designed using Appendix D. 9
University of Florida Department of Civil Engineering
Product Approval for CastCast-inin-Place Anchors
University of Florida Department of Civil Engineering
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Product Approval for CastCast-inin-Place Anchors – ACI 318318-06 Appendix D
…
IBC 2006 §1912
ACI 318-05 §8.1.3
University of Florida Department of Civil Engineering
ACI 318-06 Appendix D §D.2.3 11
… Lot’s of text but basically any standard headed anchor or hooked anchor will meet these requirements University of Florida Department of Civil Engineering
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R. A. Cook
ACI Atlanta 2007 Hot Topic
CastCast-inin-Place Anchors: Effects of Cracking
PostPost-Installed Mechanical Anchors: Undercut Anchors Tensile Force
Headed Anchors Curves in uncracked and cracked concrete Pre-Drilled Undercut
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University of Florida Department of Civil Engineering
PostPost-Installed Mechanical Anchors: TorqueTorque-Controlled Expansion Anchors
(1) Heavy Duty Sleeve Fastener
(2) Wedge Fastener
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Design of PostPost-Installed Mechanical Anchors
University of Florida Department of Civil Engineering
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PostPost-Installed Mechanical Anchors: DisplacementDisplacement-Controlled Expansion Anchors
(1) Drop-In Fastener
ACI 318-05 §8.1.3
Anchor Sleeve
(3) Sleeve Fastener
University of Florida Department of Civil Engineering
IBC 2006 §1912
Cone
University of Florida Department of Civil Engineering
(2) Self-Drilling Fastener
(3) Stud Fastener
University of Florida Department of Civil Engineering
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IBC– IBC–2006 Provisions
ACI 318-05 Appendix D 17
University of Florida Department of Civil Engineering
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R. A. Cook
ACI Atlanta 2007 Hot Topic
Product Approval for PostPostInstalled Mechanical Anchors
ACI 318318-05 Appendix D
D.2.3 — Headed …. Post-installed anchors that meet the assessment requirements of ACI 355.2 are included. The suitability of the post-installed anchor for use in concrete shall have been demonstrated by the ACI 355.2 prequalification tests.
IBC 2006 §1912
ACI 318-05 §3.8.6
ACI 318-06 Appendix D §D.2.3 19
University of Florida Department of Civil Engineering
Product Approval for PostPost-Installed Mechanical Anchors: ACI 318318-06 Appendix D
• ACI 318 Chapter 3 “Materials” §3.8.6 makes ACI 355.2-04 mandatory: 3.8.6 — “Qualification of Post-Installed Mechanical Anchors in Concrete (ACI 355.204)” is declared to be part of this code as if fully set forth herein, for the purpose cited in Appendix D.
University of Florida Department of Civil Engineering
Product Approval for PostPostInstalled Mechanical Anchors: How this is currently implemented
D.2.3 — … Post-installed anchors that meet the assessment requirements of ACI 355.2 are included. The suitability of the post-installed anchor for use in concrete shall have been demonstrated by the ACI 355.2 prequalification tests.
University of Florida Department of Civil Engineering
ICC ES Evaluation Report
ICC ES AC193
ACI 355.2-04 21
PostPost-Installed Mechanical Anchors: Screw Anchors (not specifically covered by ACI 318318-05)
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ACI 355.2-04
University of Florida Department of Civil Engineering
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Design of PostPost-Installed Screw Anchors
IBC 2006 §104.11 University of Florida Department of Civil Engineering
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ICC ES AC193
University of Florida Department of Civil Engineering
ACI 318-05 Appendix D 24
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R. A. Cook
ACI Atlanta 2007 Hot Topic
Product Approval of PostPostInstalled Screw Anchors
IBCIBC-2006 Provisions
ICC ES Evaluation Report
IBC 2006 §104.11 25
University of Florida Department of Civil Engineering
ICC ES AC193 26
University of Florida Department of Civil Engineering
Bonded AnchorsAnchors- Adhesive and Grouted (not covered by ACI 318318-05)
ICCICC-ES Evaluation Reports “…having an evaluation report does not obligate the AHJ (Authority Having Jurisdiction) to approve the evaluated product. The report is simply technical evidence upon which the AHJ can approve the product if, on the job site, it is used within the report conditions. The approval decision lies with the AHJ.” Ref.: “Code Approval”; The Basics, The Subtleties, and The Abuses www.icc-es.org University of Florida Department of Civil Engineering
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Design and Product Approval of PostPost-Installed Adhesive Anchors
Adhesive Hole diameter ≤ 1.5 anchor diameter University of Florida Department of Civil Engineering
Grouted Unheaded
Headed
Hole diameter > 1.5 times anchor diameter
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Design and Product Approval of PostPost-Installed Grouted Anchors Currently not covered by ICC-ES Acceptance Criteria
IBC 2006 §104.11 University of Florida Department of Civil Engineering
IBC-ES AC308 Design and Product Approval 29
§104 §104.11 University of Florida Department of Civil Engineering
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R. A. Cook
ACI Atlanta 2007 Hot Topic
ACI Consensus Standard Status on Bonded Anchors • Adhesive anchor design provisions have been balloted by ACI 318 Sub B • An adhesive anchor product approval standard is in the ACI 355 balloting process • Grouted anchors need to be included • The goal is to have ACI consensus standards issued by 2011. University of Florida Department of Civil Engineering
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Design and Product Approval of CastCast-inin-Place and PostPost-Installed Mechanical Anchors
• Screw anchors • Bonded anchors – Adhesive anchors – Grouted anchors University of Florida Department of Civil Engineering
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ACI 318318-05 APPENDIX D – ANCHORING TO CONCRETE • Developed by three ACI Committees (318, 349, and 355) over more than ten years
– Basic design considerations
• ACI 355.2-04 for Product Approval – Previously presented by John Silva
• Applies to cast-in-place and postinstalled mechanical anchors (some limitations) 33
What is included and not included in ACI 318318-05 Appendix D D.2.2 - SCOPE
University of Florida Department of Civil Engineering
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D.3.5 - GENERAL REQUIREMENTS • Code formulas are valid for:
• Included: – Cast-in-Place Anchors – Post-Installed Mechanical Anchors
– fc′ ≤ 10,000 psi for cast-in anchors – fc′ ≤ 8000 psi for post-Installed
• Excluded: – Specialty Inserts – Through Bolts – Multiple Anchors Connected to Single Plate at the Embedded End of the Anchors – Adhesive & Grouted Anchors – Powder/Pneumatic Actuated Nails or Bolts University of Florida Department of Civil Engineering
• Cast-in-place anchors • Post-installed mechanical anchors
• Introduced in ACI 318-02
• ACI 318-05 Appendix D for Design
University of Florida Department of Civil Engineering
Design and Product Approval Considerations
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• Post-installed anchors in concrete with fc′ > 8000 psi must be tested
University of Florida Department of Civil Engineering
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R. A. Cook
ACI Atlanta 2007 Hot Topic
D4.1.1 - STRENGTH OF ANCHORS φNn ≥ Nua φVn ≥ Vua
(D-1)
D.4.2 - NOMINAL STRENGTH • Design models in agreement with Test Results
(D-2)
• Lowest φNn and φVn from applicable failure modes
• Based on 5% fractile of basic individual anchor strength
• Interaction for combinations of Nua and Vua
– 90% confidence that 95% of actual strengths will exceed nominal strength
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University of Florida Department of Civil Engineering
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University of Florida Department of Civil Engineering
Lower Fractile Design Approach Average (Mean)
Statistical parameters
Frequency
•Average (mean) •Standard deviation •Coefficient of variation
5 % Fractile
•Number of samples
D.5 - DESIGN FOR TENSILE LOADING • D.5.1 – Steel Strength • D.5.2 – Concrete Breakout Strength • D.5.3 – Pullout Strength • D.5.4 – Concrete Side-Face Blowout Strength of a Headed Anchor
Tested Capacity
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University of Florida Department of Civil Engineering
D.5.1 - STEEL STRENGTH (TENSION) Nn
Nsa = nAsefuta where
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University of Florida Department of Civil Engineering
D.5.2 - CONCRETE BREAKOUT (TENSION)
(D-3) Nn
futa ≤ 1.9 fya
Nn
≤ 125,000 psi
University of Florida Department of Civil Engineering
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University of Florida Department of Civil Engineering
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R. A. Cook
ACI Atlanta 2007 Hot Topic
D.5.2.1 - CONCRETE BREAKOUT STRENGTH OF ANCHOR GROUP (TENSION) N cbg =
ANc ψ ec , N ψ ed , Nψ c , Nψ cp , N N b ANco
D.5.2.1 - PROJECTED AREA ANo
( D − 5)
Nn 1.5hef
Basic single anchor strength Accounts for post-installed anchor Accounts for cracking Accounts for edge effects Accounts for eccentricity
1.5hef
1.5hef
1.5hef
≈350
hef
Elevation
1.5hef 1.5hef
Plan View 2
ANco = 9hef
Accounts for projected area of failure surface
(D-6)
Consider Only Anchors in Tension 43
University of Florida Department of Civil Engineering
D.5.2.2 - BASIC CONCRETE BREAKOUT
D.5.2.1 - PROJECTED AREA AN c1
s1
c1 ≤ 1.5 hef s1 ≤ 1.5 hef
1.5hef
• Single Anchor in Tension in Cracked Concrete
N b = k f c' hef1.5
ANc ≤ nANco
1.5hef s2
- k =17 for post-installed anchors (or higher value from ACI 355.2)
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University of Florida Department of Civil Engineering
Npn = ψc,PNp
(D-14)
Nn
• Headed Stud/Bolt Np = 8Abrgfc’ Np = 0.9fc’ehdo
• Headed anchor with deep embedment, close to edge (ca1 < 0.4hef )
(D-15)
• J-Bolt or L-Bolt (D-16)
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University of Florida Department of Civil Engineering
D.5.4 - SIDESIDE-FACE BLOWOUT
D.5.3 - PULLOUT STRENGTH Npn
(D-7)
- k = 24 for cast-in anchors
c2 ≤ 1.5 hef s2 ≤ 1.5 hef
c2
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University of Florida Department of Civil Engineering
eh
N sb = 160ca1 Abrg
f c'
(D-17)
where 3d0 ≤ eh ≤ 4.5d0
• For post-installed mechanical anchors, Np must be based on results of tests performed and evaluated per ACI 355.2 University of Florida Department of Civil Engineering
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University of Florida Department of Civil Engineering
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R. A. Cook
ACI Atlanta 2007 Hot Topic
D.6 - DESIGN FOR SHEAR LOADING • D.6.1 – Steel Strength • D.6.2 – Concrete Breakout Strength
D.6.1 - STEEL STRENGTH (SHEAR)
Vn
(a) Cast-in Headed Stud Anchors Vsa = nAsefuta (D-19) (b) Cast-in Headed and Hooked Bolts, and Post-Installed Anchors Vsa = nAse (0.6futa) (D-20)
• D.6.3 – Concrete Pryout Strength
futa ≤ 1.9fya ≤ 125,000 psi With built-up grout pads, use 0.8Vsa
where
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University of Florida Department of Civil Engineering
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University of Florida Department of Civil Engineering
D.6.2.1(b) - CONCRETE BREAKOUT STRENGTH OF ANCHOR GROUP (SHEAR)
D.6.2 - CONCRETE BREAKOUT (SHEAR)
Vcbg =
Vn
AVc ψ ec ,Vψ ed ,Vψ c ,V Vb AVco
( D − 22)
Basic single anchor strength Accounts for cracking Accounts for edge effects Accounts for eccentricity Accounts for projected area of failure surface
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University of Florida Department of Civil Engineering
ca1 1.5ca1
AVco = 2 (1.5ca1) (1.5ca1) = 4.5(ca1)2 (D-23) 1.5ca1 1.5ca1
35o
If ha < 1.5ca1 and s1 < 3ca1 Plan view
AVc = (2 x 1.5ca1 + s1)ha
Vn
Vn Edge of concrete
1.5ca1
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University of Florida Department of Civil Engineering
AVc
ca1
Vn AVco
hef
1.5ca1 Front view
University of Florida Department of Civil Engineering
ha 1.5ca1
s1
1.5ca1
Side section 53
University of Florida Department of Civil Engineering
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R. A. Cook
ACI Atlanta 2007 Hot Topic
D.6.2 - BASIC CONC. BREAKOUT (SHEAR) • Single anchor in shear in cracked concrete ⎛A ⎞ Vb = 7 ⎜ e ⎟ ⎝ do ⎠
Single Anchor
0.2
do
f
' c
( ca1 )
1.5
(D-24)
Group of Anchors
Vcp = kcpNcb
(D-29)
Vcpg = kcpNcbg
(D-30)
Vn where
• If anchors are rigidly welded to attachment
⎛A ⎞ Vb = 8 ⎜ e ⎟ ⎝ do ⎠
D.6.3 - CONCRETE PRYOUT
• kcp = 1.0 for hef < 2.5 in.
0.2
do
f
' c
( ca1 )
1.5
(D-25)
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University of Florida Department of Civil Engineering
• kcp = 2.0 for hef ≥ 2.5 in. • Ncb computed from Eq. (D-4) • Ncbg computed from Eq. (D-5)
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University of Florida Department of Civil Engineering
D.8 - PRECLUDE SPLITTING FAILURE D.7 TENSION/SHEAR INTERACTION Nu
5
5
⎛ N ua ⎞ 3 ⎛ V ua ⎞ 3 ⎜ ⎟ +⎜ ⎟ = 1 .0 ⎝ φVn ⎠ ⎝ φN n ⎠
φ Nn
N ua
φN n
+
V ua
φV n
= 1 .2
• At Design Stage, Specific Products May not be Known • In Absence of Reinforcement for Crack Control, D.8 Sets Minimum Cover, Spacings, Member Thickness • Lesser Values are Permitted per ACI 355.2
Nn
0.2φNn 0.2φVn
φVn
Nn
Nn
Nn
Vu
University of Florida Department of Civil Engineering
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Product Approval for PostPost-Installed Mechanical Anchors ACI 355.2355.2-04
University of Florida Department of Civil Engineering
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ACI 355.2 Sample Format
• Testing Requirements in Uncracked Concrete, and in Cracked Concrete – Identification Tests – Reference Tests – Reliability Tests – Service-Condition Tests
University of Florida Department of Civil Engineering
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University of Florida Department of Civil Engineering
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R. A. Cook
ACI Atlanta 2007 Hot Topic
Today’s Design and Product Approval of Bonded Anchors • ICC-ES AC308 for Design – Adhesive anchor design considerations
• ICC-ES AC308 for Product Approval – Adhesive anchor product approval tests
• Grouted anchors are currently not covered by ICC-ES AC308 61
University of Florida Department of Civil Engineering
Background on Behavior, Design, and Product Approval of Bonded Anchors • The following presents background information on behavior, design and product approval of bonded anchors • Specific design requirements for adhesive anchors are now in ICC-ES AC308 and being balloted by ACI 318 • Specific product approval requirements for adhesive anchors are in ICC-ES AC308 and being balloted by ACI 355 • Grouted anchors are currently not covered by ICC-ES AC308 62
University of Florida Department of Civil Engineering
How Bonded Anchors Transfer Tension Loads
Potential Embedment Failure Modes of Bonded Anchors
N N
τ τ0
hef
Threaded Rod Mortar Concrete
Cook et al, 1998 Eligehausen et. al., 2004 University of Florida Department of Civil Engineering
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Bond Failure at Steel/Mortar Interface (Grout or Adhesive)
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University of Florida Department of Civil Engineering
Bond Strength of Single Bonded Anchor Uniform Bond Stress Model Nbond
hef
d
The presence of the shallow cone has been shown to be secondary, the strength is dependent on bond University of Florida Department of Civil Engineering
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N bond = τ π d hef
τ
University of Florida Department of Civil Engineering
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R. A. Cook
ACI Atlanta 2007 Hot Topic
Comparison of loads with the uniform bond model (data set average bond stress normalized to 10 MPa) MPa)
Grouted Anchor Failure Modes
600
measured loads mean - uniform bond model 5% fractile - uniform bond model
500
Load (KN)
400
300
200
100
Only 17 of 891 data points below 5% fractile (1.9%)
Cook et al, 1998 0 0
10000
20000
University of Florida Department of Civil Engineering
30000
40000
50000
60000
Bond Area (A b ) (mm2)
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Bond Failure at Grout/Concrete Interface (withofor without head) University Florida
hefef
τ d
ττ00 dd00
Bond failure at steel/grout interface
Bond failure at grout/concrete interface
Zamora et al 2003
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Department of Civil Engineering
Bonded Strength Considerations for Bonded Anchors
Bond Strength Considerations for Grouted Anchors
h ef
Concrete Breakout Failure
• For adhesive anchors (d≤1.5d0), the bond strength can be based the nominal bond stress relative to the anchor diameter (τ) • For grouted anchors (d>1.5d0), the bons strength needs to consider both the nominal bond stress at the anchor/grout interface (τ) and at the grout/concrete interface (τ0)
Zamora et al 2003 University of Florida Department of Civil Engineering
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Behavior of Bonded Anchors
Design of Bonded Anchors
• Strength is limited to the concrete breakout strength as provided in ACI 318-05 Appendix D
Tension Load
Bond failure
• Bond strength can be based on the uniform bond stress model up to hef/d of ~20.
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University of Florida Department of Civil Engineering
Concrete breakout failure
N = τ π d hef
N =k
f c' hef1.5
Anchor diameter (d) University of Florida Department of Civil Engineering
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University of Florida Department of Civil Engineering
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R. A. Cook
ACI Atlanta 2007 Hot Topic
Critical Spacing and Edge Distance for Bonded Anchors ca1
0.5 scr
s1
Cast-in-place and post-installed mechanical anchors:
0.5 scr
scr = 2ccr = 3.0 hef
0.5 scr
0.5 scr
0.5 scr
0.5 scr
ACI 318-05 Appendix D
Bonded anchors:
s2 ca2
AN 0 = scr2
a) Single anchor away from edges and other anchors
Critical spacing and edge distance
AN = (ca1 + s1 + 0.5 scr)(ca2 + s2 + 0.5 scr) if ca1 and ca2 < 0.5 scr and s1 and s2 < scr
⎛ τ ⎞ scr = 2ccr = 20d ⎜ ⎟ ⎝ 1450 ⎠
Eligehausen et al 2006
b) Four anchor group with close spacing and located near a corner
Why the difference? 73
University of Florida Department of Civil Engineering
0.5
For bond failure, embedment length does not have the same effect as that for postpost-installed mechanical anchors
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University of Florida Department of Civil Engineering
For bond failure, bond strength has a significant influence on critical spacing
N
hef=10d
τ = 1390 psi [9.9 MPa] N
τ = 2850 psi [19.6 MPa]
hef =20d Appl and Eligehausen 2005
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University of Florida Department of Civil Engineering
N bond = τ π d hef 0.5
• basic bond strength
• damp hole installation
• temperature
• submerged installation
• long term strength (creep)
• hole orientation
• loading after short term cure
But not greater than the concrete breakout strength calculated by ACI 318-05 Appendix D Eq. (D-5) Eligehausen et al 2006 University of Florida Department of Civil Engineering
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Product Approval Standard: Factors Influencing Bonded Anchor Strength
Strength of Bonded Anchors: A N bond , group = Nc ψ ec , Nψ g , N N bond ANc 0 ⎛ τ ⎞ scr = 2ccr = 20d ⎜ ⎟ ⎝ 1450 ⎠
Appl and Eligehausen 2005 University of Florida Department of Civil Engineering
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• Improperly cleaned holes
• freeze/thaw • fire resistance • durability
• cracked concrete • mixing method (bulk products) • etc., etc…. University of Florida Department of Civil Engineering
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ACI Atlanta 2007 Hot Topic
Example: Relative Bond Stress Comparison Adhesive and Grouted
Example: Influence of Hole Moisture 35
Grouted τ mean = 2594 psi
DRY HOLE (BASELINE)
1063 793
334
447
1000
Average Uniform Bond Strength, MPa
2872
2586
2306
2104 1656
2579
3055 3040
2901 2946 2564
2480 2013
2314 1627
1631
1450
2227
2259 1780
2000
1800
2342
3000
30
2663
2850
Adhesive τ mean = 1850 psi
1659
Average Uniform Bond Stress, [psi]
4000
DAMP HOLE WET HOLE
25
20
15
10
5
0 A B C D E F G H I
J K L M N O P Q R S T
1 2 3
4 5 6 7 8 9
Product University of Florida Department of Civil Engineering
0 A
79
Example: Influence of Cracked Concrete
B
C
D
E
F
G
University of Florida Department of Civil Engineering
H
I
J
K
L
M
N
O
P
Q
R
S
T
Cook and Konz 2001
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ICC-ES AC308 Sample Format
Meszaros, J. (2001) University of Florida Department of Civil Engineering
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Summary: How today’s codes and standards work together for selection of anchors: • Cast-in-place Design: IBC 2006 – ACI 318-05 Product Approval: ACI 318-05 • Post-Installed Mechanical Design: IBC 2006 – ACI 318-05 Product Approval: IBC 2006 – ACI 31805 – ACI 355.2-04 via ICC-ES AC193
University of Florida Department of Civil Engineering
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Summary: How today’s codes and standards work together for selection of anchors (continued): • Post-Installed Screw Anchors Design: IBC 2006 – ICC-ES AC193 – ACI 318-05 Product Approval: IBC 2006 – ICC-ES AC193
• Adhesive Bonded Anchors Design: IBC 2006 – ICC-ES AC308 Product Approval: IBC 2006 – ICC-ES AC308
• Grouted Anchors IBC 2006 – Tests must be performed
University of Florida Department of Civil Engineering
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University of Florida Department of Civil Engineering
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R. A. Cook
ACI Atlanta 2007 Hot Topic
Summary: Design and Product Approval Considerations
Summary: Design and Product Approval Considerations (continued)
• Cast-in-place anchors
• Adhesive bonded anchors
Covered by ACI 318-05
Covered by IBC 2006 via ICC-ES AC308 and now being addressed by ACI 318 and ACI 355
• Post-installed mechanical anchors Covered by ACI 318-05 and ACI 355.2-04
• Post-Installed screw anchors Covered by IBC 2006 via ICC-ES AC193 but needs to be addressed by ACI 318 and ACI 355 University of Florida Department of Civil Engineering
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• Grouted bonded anchors Covered indirectly by IBC 2006 but need to addressed by ACI 318 and ACI 355
• Bottom Line on Bonded Anchors All glues are not created equal
University of Florida Department of Civil Engineering
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Acknowledgements • Richard Klingner - University of Texas • Basile Rabbat – PCA • Don Meinheit - Wiss, Janney, Elstner Associates., Inc.
ANCHORAGE TO CONCRETE - SELECTION AND DESIGN
• Rolf Eligehausen, Werner Fuchs, and Jörg Appl - University of Stuttgart
The End
• John Silva and Richard Wollmershauser – Hilti • ACI 355 and ACI 318 Sub B
University of Florida Department of Civil Engineering
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University of Florida Department of Civil Engineering
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