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Building Code Requirements forStructural Concrete (ACI 318M-11)
Overview of ACI 318M
Design of Prestressed ConcreteEvaluation of Existing Structures
David Darwin
Vietnam Institute for Building Science andTechnology (IBST)
Hanoi and Ho Chi Minh City
December 12-16, 2011
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This morning
Overview of ACI 318M-11
Design of Prestressed Concrete(Chapter 18)
Strength Evaluation of ExistingStructures (Chapter 20)
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This afternoon
Analysis and design of
Flexure
Shear
Torsion
Axial load
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Tomorrow morning
Design of slender columns
Design of wall structures
High-strength concrete
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Overview of ACI 318M-11
Legal standing
Scope
Approach to DesignLoads and Load Cases
Strength Reduction Factors
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Legal standing
Serves as the legal structural concretebuilding code in the U.S. because it isadopted by the general building code (IBC).
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Scope
ACI 318M consists of 22 chapters and 6appendices that cover all aspects of buildingdesign
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Chapters
1. GENERAL REQUIREMENTSScope, Contract Documents, Inspection,
Approval of Special Systems
2. NOTATION AND DEFINITIONS
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Chapters
3. MATERIALSCementitious Materials, Water, Aggregates,
Admixtures, Reinforcing Materials
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4. DURABILITY REQUIREMENTSFreezing and Thawing, Sulfates, Permeability,
Corrosion
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5. CONCRETE QUALITY, MIXING, AND PLACING
6. FORMWORK, EMBEDMENTS,AND CONSTRUCTION JOINTS
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7. DETAILS OF REINFORCEMENT
Hooks and Bends, Surface Condition, Tolerances,Spacing, Concrete Cover, Columns, Flexural Members,Shrinkage and Temperature Steel, Structural Integrity
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8. ANALYSIS AND DESIGN GENERALCONSIDERATIONS
Design Methods; Loading, including Arrangement ofLoad; Methods of Analysis; Redistribution of Moments;Selected Concrete Properties; Requirements forModeling Structures (Spans, T-beams, Joists...)
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9. STRENGTH AND SERVICEABILITYREQUIREMENTS
Load Combinations, Strength Reduction Factors,Deflection Control
10. FLEXURE AND AXIAL LOADSBeams and One-way Slabs, Columns, Deep Beams,
Bearing
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11. SHEAR AND TORSION
12. DEVELOPMENT
AND SPLICES OF REINFORCEMENT
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13. TWO-WAY SLAB SYSTEMS
14. WALLS
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15. FOOTINGS
16. PRECAST
CONCRETE
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17. COMPOSITE CONCRETE FLEXURALMEMBERS
18. PRESTRESSED CONCRETE
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19. SHELLS AND FOLDED PLATE MEMBERS
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20. STRENGTH EVALUATION OF EXISTING
STRUCTURES
21. EARTHQUAKE-
RESISTANT
STRUCTURES
22. STRUCTURAL PLAIN CONCRETE
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Appendices
A. STRUT-AND-TIE MODELS*
B. ALTERNATIVEPROVISIONS FOR REINFORCED ANDPRESTRESSED CONCRETE FLEXURAL ANDCOMPRESSION MEMBERS
C. ALTERNATIVE LOAD AND STRENGTHREDUCTION FACTORS
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D. ANCHORING TO CONCRETE*
E. STEEL REINFORCEMENT INFORMATION
F. EQUIVALENCE BETWEEN SI-METRIC, MKS-
METRIC, AND U.S. CUSTOMARY UNITS OFNONHOMOGENOUS EQUATIONS IN THE CODE
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Approach to design
Qd= design loads
Sn= nominal strengthSd=design strength
M =safety margin
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Design Strength Required Strength
Sd=SnQd
Sd = design strength =Sn
= strength reduction factor
= load factors
Qd = design loads
and in Chapter 9 of ACI 318M
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Loads Qd
specified in ASCE 7, Minimum Design Loadsfor Buildings and Other Structures
American Society of Civil Engineers (ASCE)
Reston, Virginia, USA
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Loads
Dead loads (D)*Live loads (L)*
Roof live loads (Lr)*
Wind loads (W) full load
Earthquake loads (E) full load
Rain loads (R)*
Snow loads (S)*
* Service-level loads
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Loads
Impact include in LSelf-straining effects (temperature, creep,shrinkage, differential settlement, andshrinkage compensating concrete) (T)
Fluid loads (F)
Lateral soil pressure (H)
Factored Load = U= Qd
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Load cases and load factorsby ASCE 7 and ACI 318M
U= 1.4D
U= 1.2D+ 1.6L + + 0.5(Lror Sor R)U= 1.2D+ 1.6(Lror Sor R) + (1.0Lor 0.5W)
U= 1.2D+ 1.0W+ 1.0L + 0.5(Lror Sor R)
U= 1.2D+ 1.0E+ 1.0L + 0.2S
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U= 0.9D+ 1.0W
U= 0.9D+ 1.0E
Load cases and load factors
by ASCE 7 and ACI 318M
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If Wbased on service-level forces, use 1.6Wplace of1.0W
If Ebased on service-level forces, use 1.4Ein placeof 1.0E
Details of other cases covered in the Code
Load factors by ACI 318M
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Strength reduction () factors
Tension-controlled sections 0.90
Compression-controlled sections
Members with spiral reinforcement 0.75
Other members 0.65
Shear and torsion 0.75
Bearing 0.65
Post-tensioning anchorages 0.85
Other cases 0.60 0.90
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Tension-controlled and compression-controlled sections
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T-beam
d
h
b
hf
bw
As
dt
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Strain through depth of beam
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Design Strength (x nominal strength) must
exceed the Required Strength (factored load)
Bending MnMu
Axial load PnPu
Shear VnVu
Torsion TnTu
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Load distributions and modelingrequirements
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Structure may be analyzed as elastic
using properties of gross sections
Ig= moment of inertia of gross (uncracked)cross section
Beams: Ib= IgIweb =
Columns: Ic= Ig=
wb h3
12
bh3
12
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2. The arrangement of load may be limited tocombinations of
(a) factored dead loadon all spans with full
factored live load on alternate spans, and(b) factored deadload on all spans with full
factored live load on two adjacent spans
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(a)
(b)
(c)
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Moment and shear envelopes
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Columns designed to resist
(a) axial forces from factored loads on all floorsor roof and maximum moment from factoredlive loads on a single adjacent spanof thefloor or roof under consideration
(b) loading condition giving maximum ratio ofmoment to axial load
More on columns
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For frames or continuous construction, considereffect of unbalanced floor or roof loads on both
exterior and interior columns and of eccentricloading due to other causes
For gravity load, far ends of columns built integrallywith the structure may be considered fixed
At any floor or roof level, distribute the moment
between columns immediately above and belowthat floor in proportion to the relative columnstiffness
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Simplified loading criteria
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Beams, twoor more spans
Beams, twospans only
Slabs,spans 3 m
Beams, col stiffnesses 8 beam stiffnesses
u nM w l 2factor
ln
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Composite
Maxve right
Maxve leftMax +ve
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Allowable adjustment in maximummoments for t 0.0075
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Design of prestressed concrete(Chapter 18)
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Behavior of reinforced concrete
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Reinforced concrete under service loads
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Theory of prestressed concrete
Stresses
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57
Methods of prestressing concrete members
Post-Tensioning
Pretensioning
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Prestressing steels
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Strength of prestressing steels available inU.S.
Seven-wire strand: fpu 1725, 1860 MPa
fpy(stress at 1% extension) 85% (for stress-
relieved strand) or 90% (for low-relaxationstrand) of fpu
fpu= ultimate strengthfpy= yield strength
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Strength of prestressing steels available inU.S.
Prestressing wire: fpu 1620 to 1725 MPa(function of size)
fpy(at 1% extension) 85% of fpu
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Strength of prestressing steels available inU.S.
High-strength steel bars: fpu
1035 MPa
fpy 85% (for plain bars) and 80% (for deformedbars) of fpu
fpybased on either 0.2% offset or 0.7% strain
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Maximum permissible stresses inprestressing steel
Due to prestressing steel jacking force:0.94fpy0.80fpu
manufacturers recommendation
Post-tensioning tendons, at anchorage devicesand couplers, immediately after force transfer:
0.70fpu
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Prestressed concrete members aredesigned based on both
Elastic flexural analysis
Strength
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Elastic flexural analysis
Considers stresses under both theInitial prestress force Piand the
Effective prestress force Pe
Note: = concrete compressive strength
= initial concrete compressivestrength (value at prestress transfer)
cf
cif
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Classes of members
U uncracked calculated tensile stress in
precompressed tensile zone at serviceloads = ft
T transition between uncracked andcracked < ft
C cracked ft>
. cf0 62
. cf0 62 . cf10
.c
f10
cf in MPa
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Concrete section properties
e =tendon eccentricityk1= upper kern point
k2= lower kern point
Ic= moment of inertia
Ac= area
radius of gyration:
r2 = Ic/Ac
section moduli:S1 = Ic/c1S2 = Ic/c2
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Bending moments
Mo= self-weight moment
Md= superimposed dead load moment
Ml= live load moment
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Concrete stresses under Pi
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S bl k
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Stress-block parameter 1
1
1
1
0.85 for 17 MPa 28 MPa
For between 28 and 56 MPa,
decreases by 0.05 for each 7 MPa
increase in
0.65 for 56 MPa
c
c
c
c
f
f
f
f
S i i l l i
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Stress in prestressing steel at ultimate
Members with bonded tendons:
p=Aps/bdp = reinforcement ratiob = width of compression facedp=d(effective depth) of prestressing steel
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Members with bonded tendons and non-prestressed bars:
p pu ps pu pc p
f df f
f d
11
and y c y c f / f f / f
and refer to compression reinforcement, sA
shall be takenpup pc p
f d . , d . d f d
017 015
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Members with unbonded tendons with span/depth
ratios > 35:
but not greater thanfpy or greater thanfpe + 210 MPa
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Li it i f t i fl l
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Limits on reinforcement in flexuralmembers
Classify as tension-controlled, transition, orcompression-controlled to determine
Total amount of prestressed and nonprestressedreinforcement in members with bondedreinforcement must be able to carry 1.2
cracking load
Mi i b d d i f t A i
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Minimum bonded reinforcement As inmembers with unbonded tendons
Except in two-way slabs, As= 0.004ActAct=area of that part of cross sectionbetween the flexural tension face and
center of gravity of gross section
Distribute Asuniformly over precompressedtension zone as close as possible to
extreme tensile fiber
Two way slabs:
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Two-way slabs:
Positive moment regions:
Bonded reinforcement not required where tensilestress ft
Otherwise, use As=
Nc= resultant tensile force acting on portion ofconcrete cross section in tension under effectiveprestress and service loads
Distribute Asuniformly over precompressedtension zone as close as possible to extremetensile fiber
c. f0 17
c
y
N
. f0 5
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Two-way slabs:
Negative moment areas at column supports:
As= 0.00075AcfAcf= larger gross cross-sectional area of slab-beam strips in two orthogonal equivalent
frames intersecting at the columns
Distribute Asbetween lines 1.5hon outside
opposite edges of the column support
Code includes spacing and length requirements
T o a slabs
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Two-way slabsUse Equivalent Frame Design Method
(Section 13.7)
Banded tendon distribution
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Banded tendon distribution
Photo courtesy of Portland Cement Association
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Post tensioned tendon anchorage zone
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Post-tensioned tendon anchorage zonedesign
Load factor = 1.2Ppu= 1.2Pj
Pj= maximum jacking force
= 0.85
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Strength evaluation of existing structures
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Strength evaluation of existing structures(Chapter 20)
When it is required
When we use analysis and when perform a load test
When core testing is sufficient
Load testing
A strength evaluation is required
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A strength evaluation is required
when there is a doubt if a part or all of a structuremeets safety requirements of the Code
If the effect of the strength deficiency is wellunderstood and if it is feasible to measure thedimensions and material properties required foranalysis, analytical evaluations of strength
based on those measurements can be used
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If the effect of the strength deficiency is not wellunderstood or if it is not feasible to establish therequired dimensions and material properties bymeasurement, a load test is required if the
structure is to remain in service
Establishing dimensions and material
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Establishing dimensions and materialproperties
1. Dimensions established at critical sections
2. Reinforcement locations established by
measurement (can use drawings if spotchecks confirm information in drawings)
3. Use cylinder and core tests to estimate cf
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Load intensity
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Load intensity
Total test load = larger of
(a) 1.15D + 1.5L + 0.4(Lror S or R)
(b) 1.15D + 0.9L + 1.5(Lror S or R)
(c) 1.3D
In (b), load factor for L may be reduced to 0.45,except for garages, places of assembly, and
where L > 4.8 kN/m
2
L may be reduced as permitted by general
building code
Age at time of loading 56 days
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Age at time of loading 56 days
Loading criteria
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Loading criteria
Obtain initial measurements (deflection,rotation, strain, slip, crack widths) not morethan 1 hour before application of the firstload increment
Take readings where maximum response isexpected
Use at least four load increments
Ensure uniform load is uniform no arching
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Take measurements after each load
increment and after the total load has beenapplied for at least 24 hours
Remove total test load immediately after allresponse measurements are made
Take a set of final measurements 24 hoursafter the test load is removed
Acceptance criteria
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Acceptance criteria
No signs of failure no crushing or spalling
of concrete
No cracks indicating a shear failure isimminent
In regions without transverse reinforcement,evaluate any inclined cracks with horizontalprojection > depth of member
Evaluate cracks along the line of
reinforcement in regions of anchorage andlap splices
Acceptance criteria
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Acceptance criteria
Measured deflections
At maximum load:
24 hours after load removed:
,
2
120 000
t
h
14
r
MIN(distance between supports, clear span + )
2 x span for cantilever
t h
Acceptance criteria
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Acceptance criteria
If deflection criteria not met, may repeat thetest (at least 72 hours after first test)
Satisfactory if:
2
5r
2 maximum deflection of second test relative to
postion of structure at beginning of second test
Provision for lower loading
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Provision for lower loading
If the structure does not satisfy conditions orcriteria based on analysis, deflection, or shear,it may be permitted for use at a lower loadrating based on the results of the load test or
analysis, if approved by the building official
Case study
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Case study
1905 buildingChicago, Illinois
USA
Cinder concrete
floors
Load capacity OK for use
as an office building?
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Safety shoring
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Deflectionmeasurement
devices
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Load through
window
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Moving lead ingots through the window
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Load stage 14
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Findings
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g
Floor could carry uniform load of
2.4 kN/m2
Building satisfactory for both apartments (1.9
kN/m2
) and offices (2.4 kN/m2
)
Summary
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y
Overview
Prestressed concrete
Strength evaluation of existing structures
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Figures copyright 2010 by
McGraw-Hill Companies, Inc.1221 Avenue of the America
New York, NY 10020 USA
Figures copyright 2011 by
American Concrete Institute
38800 Country Club Drive
Farmington Hills, MI 48331 USA
Duplication authorized or use with this presentation only.
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The University of KansasDavid Darwin, Ph.D., P.E.Deane E. Ackers Distinguished Professor
Director, Structural Engineering & Materials Laboratory
Dept. of Civil, Environmental & Architectural Engineering
2142 Learned Hall
Lawrence, Kansas, 66045-7609
(785) 864-3827 Fax: (785) 864-5631