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2007 Structures Congress
Selected New Provisionsof ASCE/SEI 7-2005:
Jim Harris
J. R. Harris & Company
Denver, Colorado
May 18, 2007
John HooperMagnusson Klemencic Associates
Seattle, Washington
2007 Structures Congress Seismic Design Under ASCE 7-2005 2
Overview• Reorganization• New maps; Long period map• New systems, revised R factors and limitations• Diaphragm assumptions• Redundancy factor• Dynamic analysis triggers• Near fault spectral shape applicability• Modal response spectrum analysis• Simplified design method
2007 Structures Congress Seismic Design Under ASCE 7-2005 3
ASCE 7-05 ReorganizationGoals of Seismic Section Reorganization
1. To improve clarity and use2. Reduce depth of section numbering from 6 max
typical to 4 max typical(i.e. Sec. 9.5.2.5.2.2 is now Sec. 12.5.3)
3. Simplify table and figure numbering(i.e. Table 9.5.2.5.1 is now Table 12.6-1)
4. Create logical sequence of provisions aim at the structural engineering community
5. Improve headings and clarify ambiguous provisions
2007 Structures Congress Seismic Design Under ASCE 7-2005 4
ASCE 7-05 Reorganization
1. Changed major subjects to Chapters rather than Sections (similar to the IBC)
2. Replaced Section 9 with Chapters 11-23
3. Incorporated the material appendices
4. Put the Chapters into a logical sequence
5. Rewrote ambiguous headings
6. Examined and rewrote sections to eliminate ambiguity
7. Provided Cross Reference Table C-11-1…02 to 05
2007 Structures Congress Seismic Design Under ASCE 7-2005 5
Comparison of ContentsASCE 7-2002 Sections
1. General
2. Combinations of Loads
3. Dead Loads
4. Live Loads
5. Soil and Hydrostatic …and Flood Loads
ASCE 7-2005 Chapters
1. General
2. Combinations of Loads
3. Dead Loads, Soil … and Hydrostatic
4. Live Loads
5. Flood Loads
2007 Structures Congress Seismic Design Under ASCE 7-2005 6
Comparison, continued
ASCE 7-2002 Sections
6. Wind Loads7. Snow Loads8. Rain Loads9. Earthquake Loads10. Ice LoadsA. Supplemental (QA)B. Serviceability
ASCE 7-2005 Chapters
6. Wind Loads7. Snow Loads8. Rain Loads9. (not used)10. Ice Loads11. - 23. SeismicA & B. QA & Existing
2007 Structures Congress Seismic Design Under ASCE 7-2005 7
Seismic ContentsASCE 7-2002
9.1 General Provisions
9.2 Definitions/ Symbols
9.3 (not used)
9.4 Ground Motion
9.5 Structural Design Criteria, Analysis, and Procedures
ASCE 7-2005
11. Seismic Design Criteria
12. Seismic Design Requirements for Building Structures
13. Seismic Design Requirements for Nonstructural Comp.
2007 Structures Congress Seismic Design Under ASCE 7-2005 8
Seismic Contents, continuedASCE 7-2002
9.6 Arch, Mech, Elect Comp and Sys
9.7 Foundations9.8 Steel9.9 Concrete9.10 Composite Struct.9.11 Masonry
ASCE 7-2005
14. Material Specific15. Nonbuilding
Structures16. Response Hist Anal17. Seismic Isolation18. Damping Systems19. Soil-Struct. Interact.
2007 Structures Congress Seismic Design Under ASCE 7-2005 9
Seismic Contents, continued
ASCE 7-2002
9.12 Wood
9.13 Seismic Isolation
9.14 Nonbuilding Structures
A9. Quality Assurance
ASCE 7-2005
20. Site Classification21. Site-Specific
Ground Motions22. Maps23. Reference Docs11A. Quality Assurance11B. Existing Buildings
2007 Structures Congress Seismic Design Under ASCE 7-2005 10
11 Seismic Design Criteria
11.1 General
11.2 Definitions
11.3 Notation
11.4 Seismic Ground Motion Values
11.5 Importance Factor
11.6 Seismic Design Category
11.7 Design Req’ts for Category A
11.8 Geologic Hazards & Geotechnical Invest.
2007 Structures Congress Seismic Design Under ASCE 7-2005 11
11.1 Purpose
“…specified earthquake loads are based upon post-elastic energy dissipation in the structure, and because of this fact, the requirements for design, detailing, and construction shall be satisfied even for structures and members for which load combos w/o EQ exceed those with EQ…”
2007 Structures Congress Seismic Design Under ASCE 7-2005 12
11.4 Seismic Ground Motions
1 Determine basic values from maps for bedrock conditions
2, 3 Classify soil conditions at site and determine site coefficients
4 Determine site-adjusted values
5 Take two-thirds for use in design
6 Construct design response spectrum
7 Site-specific studies permitted/required
2007 Structures Congress Seismic Design Under ASCE 7-2005 13
Mapped Acceleration Parameters
• Two updated sets of basic maps for the response spectrum accelerations– SS for spectral response acceleration at 0.2 secs
– S1 for spectral response acceleration at 1.0 secs
• New map for long period transition: TL in seconds
2007 Structures Congress Seismic Design Under ASCE 7-2005 14
SS and S1 are themapped 2% in 50 yearspectral accelerationsfor firm rock
SDS and SD1 are thedesign level spectralaccelerations (modifiedfor site and “expectedgood performance”)
Ground Motion Parameters & Seismic Hazard
Mapped Contours of SS
2007 Structures Congress Seismic Design Under ASCE 7-2005 15
General Comparison of Maps
With ASCE 7-02• Changes everywhere,
but mostly minor• Deterministic area
around New Madrid
With UBC 97• Lots of change• Lower in most areas• Higher in high hazard
areas, except near fault in California
• Three maps, not one
2007 Structures Congress Seismic Design Under ASCE 7-2005 16
Long Period Transition Maps (Fig 22.15)
2007 Structures Congress Seismic Design Under ASCE 7-2005 17
Site Specific Studies
• Clarification of two types:– Basic ground motion hazard at a point in rock– Site amplification in overburden soil
• First type never required, but permitted; limits placed upon results
• Second type encouraged; required in some instances
2007 Structures Congress Seismic Design Under ASCE 7-2005 18
Cumulative Nature of Provisionsby Seismic Design Category
A B C D E F
2007 Structures Congress Seismic Design Under ASCE 7-2005 19
Seismic Design Category A
• 11.7 is a self-contained section; defines E
• Horizontal force = 1% of dead load
• Load path for horizontal forces– connections = 5% of weight of smaller part
• Beam, truss connections = 5% D + L
• Anchor concrete and masonry walls– 280 pounds per foot
2007 Structures Congress Seismic Design Under ASCE 7-2005 20
Geologic Hazards andGeotechnical Investigations
• SD Category E and F:– Do not locate on active fault
• SD Category C:– Evaluate slope instability, liquefaction,
differential settlement, surface displacement
• SD Category D, E, F:– More detail than C plus lateral pressures on
basement walls and retaining walls
2007 Structures Congress Seismic Design Under ASCE 7-2005 21
Overview• Reorganization• New maps; Long period map• New systems, revised R factors and limitations• Diaphragm assumptions• Redundancy factor• Dynamic analysis triggers• Near fault spectral shape applicability• Modal response spectrum analysis• Simplified design method
2007 Structures Congress Seismic Design Under ASCE 7-2005 22
12 Seismic Design of Building Structures
1 Design Basis
2 Structural Systems
3 Diaphragm Flexibility; Configuration; & Redundancy
4 Load Effects & Combinations of Loads
5 Direction of Loading
6 Selection of Analysis
7 Modeling Criteria
8 ELF Method
9 Modal RS Method
10 Diaphragms, Chords Collectors
11 Structural Walls (out-of-plane)
12 Drift and Deformation
13 Foundation Design
14 Simplified Alternate
2007 Structures Congress Seismic Design Under ASCE 7-2005 23
12.1.1 Basic Requirements
• Strength, Stiffness, Energy Dissipation
• Design Motion in Any Horizontal Direction
• Construct Mathematical Model
• Evaluate Model for Effects– Limitations on methods of evaluation
– Modifications to internal forces (R, 0)
– Modifications to deformations (Cd)
• Alternate Procedures Must Be Consistent
2007 Structures Congress Seismic Design Under ASCE 7-2005 24
Minimum Connection Forces
• Very Similar to 11.7 for SD Category A
• Continuous Load Path: “…from point of application to final point of resistance…”– 0.133 SDS WP 0.05 WP
– Does not apply to overall design of SFRS (Seismic Force Resisting System)
• Beams, Trusses to Support 5% of D + L
2007 Structures Congress Seismic Design Under ASCE 7-2005 25
12.2 Structural System Requirements
1. System identification and limitations
2. Combos of systems: different direction
3. Combos of systems: same direction
4. Combos of systems: detailing
5. Specific system requirements
2007 Structures Congress Seismic Design Under ASCE 7-2005 26
System Identification
• “Basic lateral and vertical SFRS shall conform to one (or a permitted combo) of the systems from Table 12.2-1…”
• “Selected SFRS shall be designed and detailed per referenced requirements…”
• SFRS not from table permitted only if analytical and test data establish basis
2007 Structures Congress Seismic Design Under ASCE 7-2005 27
Basic system parameters
Obtain from table and use in seismic design:• R Response Modification Factor
- measure of system inelastic capabilities• Cd Deflection Amplification Factor
- increase elastic to total o System Overstrength Factor
- accounts for actual strength greater than design strength; used to protect vulnerable items.
2007 Structures Congress Seismic Design Under ASCE 7-2005 28
R factor comparisonsSystem 97 02 05
Special RC Shear Wall (bearing) 4.5 5 5
Ordinary RC Shear Wall (bearing) 4.5 4 4
Special RC Shear Wall (bldg frm) 5.5 6 6
Ordinary RC Shear Wall (bldg frm) 5.5 5 5
Intermed Precast Shear Wall (b f) -- -- 5
Ord Precast Shear Wall (b f) -- -- 4
2007 Structures Congress Seismic Design Under ASCE 7-2005 29
R factor comparisonsSystem 97 02 05
Special RM Shear Wall (bearing) 4.5 5 5
Intermed RM Shear Wall (bearing) 4.5 3.5 3.5
Ord RM Shear Wall (bearing) 4.5 2 2
Special RM Shear Wall (bldg frm) 5.5 5.5 5.5
Intermed RM Shear Wall (bldg frm) 5.5 4 4
Ord RM Shear Wall (bldg frm) 5.5 2.5 2.5
2007 Structures Congress Seismic Design Under ASCE 7-2005 30
R factor comparisonsSystem 97 02 05
Special Steel Concentric BF 6.4 6 6
Ordinary Steel Concentric BR 5.6 6 3.25
Special RC Shear Wall (bldg frm) 5.5 6 6
Ordinary RC Shear Wall (bldg frm) 5.5 5 5
Eccentrically Braced Frame (with) 7 8 8
Eccentrically Bracked Frame (w/out) 7 7 7
2007 Structures Congress Seismic Design Under ASCE 7-2005 31
R factor comparisonsSystem 97 02 05
Light Frame with SWP (bearing) 5.5 6 6.5
Light Frame with other (bearing) 4.5 2 2
Light Frame with SWP (bldg frm) 6.5 6.5 7
Light Frame with other (bldg frm) 5 2.5 2.5
Light Frame with straps (bearing) 2.8 4 4
2007 Structures Congress Seismic Design Under ASCE 7-2005 32
Height Limits• Most shear wall and braced frame systems
limited to 160 feet high in SD Categories D and E, and to 100 feet in SD Category F
• These limits can be increase to 240 feet and 160 feet, respectively for some structures– No line resists more than 60% of base shear– Torsional force < 20% of total force in the line
• Many exceptions, especially for nonbuilding
2007 Structures Congress Seismic Design Under ASCE 7-2005 33
Concrete Shear Wall - Frame
• Limited to SD Category B
• Ordinary detailing for wall and frame
• Analyze for interaction and provide as a minimum– Walls strong enough for 0.75 Vx at each story
– Frames strong enough for 0.25 Vx at each story
2007 Structures Congress Seismic Design Under ASCE 7-2005 34
12.3 Diaphragms, Configuration, and Redundancy
1. Diaphragm Flexibility in Analysis
2. Identification of Irregularities in System Configuration
3. Limitations on and Penalties for Irregularities
4. Redundancy– Significant changes from prior edition
2007 Structures Congress Seismic Design Under ASCE 7-2005 35
Diaphragm Flexibility
Assume Flexible if• Wood or steel deck with
concrete or masonry walls
• 1 or 2 family residential if light frame
• Compute
ΔDia > 2 * δvert
Assume Rigid if• Concrete slab (or filled
deck) with span to depth < 3 and no horizontal irregularity
Otherwise:• Must analyze system
including actual stiffness of diaphragm!
2007 Structures Congress Seismic Design Under ASCE 7-2005 36
Configuration: Basic Parameters
Size
ProportionShape
2007 Structures Congress Seismic Design Under ASCE 7-2005 37
Plan Irregularities
1a Torsional irregularity corner > 1.2 center
1b Extreme torsional irregularity corner > 1.4 center
Note: torsional irregularity not checked for flexible diaphragms
2 Re-entrant corners Both projections > 15% of respective sides
3 Diaphragm discontinuity 50% change in a level or
from level to level
4 Out-of-plane offsets absolute
5 Nonparallel systems absolute
Type Measure
2007 Structures Congress Seismic Design Under ASCE 7-2005 38
Vertical Irregularities
1a Stiffness-Soft Story Story stiffness < 70% above
1b Stiffness- Extreme Soft Story Story stiffness < 60% above
2 Weight (Mass) More than 150% adjacent story
Note: 1 and 2 dropped if no story drift exceeds 130% of story above
3 Vertical Geometric Length of SFRS >130% of that in adjacent story
4 In-Plane Discontinuity Offset > length of element or a reduction in stiffness below
5a Capacity-Weak Story Lat strength < 80% of above
5b Extreme Weak Story Lat strength < 65% of above
Type Measure
2007 Structures Congress Seismic Design Under ASCE 7-2005 39
Configuration Limitations
• Horiz 1b not permitted in SD Cat E+
• Vert 1b, 5a not permitted in SD Cat E+
• Vert 5b not permitted in SD Cat D+
• Vert 5b limited to 2 stories or 30 feet in SD Cat B or C, unless weak story strength capable of 0 times design force
2007 Structures Congress Seismic Design Under ASCE 7-2005 40
Configuration Penalties
• Horiz 4 and Vert 4 (column, slab, beam, or truss elements supporting discontinuous elements) to resist 0 force (all SD Categories)
• Horiz 1, 2, 3, 4 and Vert 4 have 25% increase in force for connection of diaphragm to vert element and collectors in SD Cat D+; also req’d for collectors except those already designed for 0 force
2007 Structures Congress Seismic Design Under ASCE 7-2005 41
Overview• Reorganization• New maps; Long period map• New systems, revised R factors and limitations• Diaphragm assumptions• Redundancy factor• Dynamic analysis triggers• Near fault spectral shape applicability• Modal response spectrum analysis• Simplified design method
2007 Structures Congress Seismic Design Under ASCE 7-2005 42
Redundancy factor
Reliability Factor
1.3or 1.0 ρ
1.0ρ
Seismic Design Category
B or C
D, E or F
is always 1.0 for drift and P-delta calcs and for design of:• Nonstructural components• Nonbuilding structures not similar to buildings• Members designed for 0 forces• Diaphragms• Structures with damping systems
2007 Structures Congress Seismic Design Under ASCE 7-2005 43
Redundancy Factor = 1.3Unless following loss does not an extreme torsional irregularity and does not reduce story strength by more than 33%:
• Braced frame: removal of a single brace• Moment frame: loss of moment resistance
at both ends of a single beam (or at base of a single cantilever column)
• Shear walls: removal of any single pier with h/l > 1.0 (or collector to such a pier)
2007 Structures Congress Seismic Design Under ASCE 7-2005 44
12.6 Analysis Method Selection
Methods Defined
• Equivalent (Static) Lateral Force: ELF
• Modal Response Spectrum: MRS
• Seismic Response History (Linear and Nonlinear): SRH (Defined in section 16)
Alternate classifications:
Static / Dynamic Max / Dynamic History
Linear / Nonlinear
2007 Structures Congress Seismic Design Under ASCE 7-2005 45
What type of Analysis?
• The answer depends on:– what performance level you
are hoping to achieve
– the configuration of the structure
– how accurate you need to be
• A wide range of choices are available-
2007 Structures Congress Seismic Design Under ASCE 7-2005 46
Superior Performance Levels
• Behavior will be essentially elastic– For regular structures with short periods, linear static
procedures are fine
– For regular structures with long periods and all irregular structures - linear dynamic procedures are better, response spectra accurate enough
J oe’s
Beer!Beer!Food!Food!
Beer!Beer!Food!Food!
J oe’s
2007 Structures Congress Seismic Design Under ASCE 7-2005 47
Poorer Performance Levels
• Inelastic behavior is significant (elastic analyses are the wrong approach!)– For structures dominated by first mode response,
pushover analysis may be adequate
– For structures with significant hire mode response, nonlinear time history necessary
Beer!Beer!Food!Food!
J oe’s
2007 Structures Congress Seismic Design Under ASCE 7-2005 48
Methods Permitted• SD Cat B and C: any defined method
• SD Cat D+: ELF permitted for– Occ Cat I/II < 3 stories– Occ Cat I/II of light frame < 4 stories
– Reg structures with T < 3.5 TS
– Reg structures of light frame any T
– Irreg structure with T < 3.5 TS limited to horiz types 2, 3, 4, or 5 and vert types 4, 5a, or 5b
• Other SD Cat D+ must use MRS or SRH
2007 Structures Congress Seismic Design Under ASCE 7-2005 49
Design Response Spectrum
0.0
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0 1 2 3 4 5 6 7TST0 Period, seconds
Spe
ctra
l Acc
eler
atio
n, g
0.4SDS
Sa = SD1 / T
Sa = SDS(0.4 + 0.6 T/T0)
Sa = SD1 TL / T2
Drawn for SS = 1.0, Fa = 1.0 S1 = 0.4, Fv = 1.5 TL = 4
2007 Structures Congress Seismic Design Under ASCE 7-2005 50
Design Response Spectrum
0.0
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0 1 2 3 4 5 6 7TST0 Period, seconds
Spe
ctra
l Acc
eler
atio
n, g
0.4SDS
Sa = SD1 / T
Sa = SDS(0.4 + 0.6 T/T0)
Sa = SD1 TL / T2
Drawn for SS = 1.0, Fa = 1.0 S1 = 0.4, Fv = 1.5 TL = 4
Sa = 0.5 S1
2007 Structures Congress Seismic Design Under ASCE 7-2005 51
12.8 ELF Method of Analysis
1. Seismic Base Shear: V = CSW
2. Period Determination
3. Vertical Distribution of Seismic Forces
4. Horizontal Distribution of Forces
5. Overturning
6. Story Drift Determination
7. P-Delta Effects
2007 Structures Congress Seismic Design Under ASCE 7-2005 52
Seismic Coefficient
Basic rules are the design spectrum adjusted for R and I:
Also, where S1 > 0.6:
minimum)new(01.0
2
11
s
LDDDSs
C
IR
T
TS
IR
T
S
IR
SC
IRS
Cs15.0
2007 Structures Congress Seismic Design Under ASCE 7-2005 53
Adjustments to Base Shear
• Soil-Structure Interaction per Section 19 is permitted
• Low rise buildings in high ground motion areas:
If stories < 6 and T < 0.5 seconds
Can use SS = 1.5 max
2007 Structures Congress Seismic Design Under ASCE 7-2005 54
12.8.2 Period of Vibration
• Follow modeling criteria in 12.7 to compute T
• Upper bound for forces:
auTCT
SD1 Cu
> 0.4 1.4
0.3 1.4
0.2 1.5
0.15 1.6
<0.1 1.7
2007 Structures Congress Seismic Design Under ASCE 7-2005 55
Approximate Periodxnta hCT
Structure Ct x
100% Moment Frames:
Steel
Concrete
0.028
0.016
0.8
0.9
Eccentrically Braced 0.03 0.75
All others 0.02 0.75
2007 Structures Congress Seismic Design Under ASCE 7-2005 56
What is hn? – Concept of Base
hn hn
Base
RC frame
RC wall
Masonrywall
RC wall
Base
2007 Structures Congress Seismic Design Under ASCE 7-2005 57
Alternate Estimates for Ta
• 100% moment frames up to 12 stories with story heights at least 10 feet: , Ta = 0.1N
• Shear walls of concrete or masonry:
n
w
a hC
T0019.0
x
i
i
i
i
i
n
Bw
D
h
A
h
h
AC
12
2
83.01
100
2007 Structures Congress Seismic Design Under ASCE 7-2005 58
Vertical Distribution of Force
Equivalent static force at level x: VCF vxx
n
i
kii
kxx
vx
hw
hwC
1
wherewi , wx: Portion of W assigned to level i or x
hi , hx: Height of level i or x above base
k sets the shape of distribution and depends on T
Story Shear:
n
xiix FV
2007 Structures Congress Seismic Design Under ASCE 7-2005 59
Shape of Vertical Distribution1 ≤ k ≤ 2: Varies with T
For T ≤ 0.5, k = 1 (linear distribution)
For T ≥ 2.5, k = 2 (parabolic distribution;impact of higher modes)
For 0.5 < T < 2.5, k = 2 or k = 0.75 + T/2
(interpolation)
2007 Structures Congress Seismic Design Under ASCE 7-2005 60
ELF - Story Shears
F V
n
xiix FV Sum the story forces from the top down
Distribution of story forces intended to give proper envelopeof maximum story shears for a regular building. It does not give envelope of maximum story forces.
2007 Structures Congress Seismic Design Under ASCE 7-2005 61
ELF - Horizontal Distribution
• Distribute story shear to vertical elements
per relative stiffness of vertical elements and
diaphragm
• Account for computed (inherent) torsion - eccentricity
between mass and resistance
• Add accidental torsion, except for flexible diaphragms
• Amplify torsion if torsionally irregular
2007 Structures Congress Seismic Design Under ASCE 7-2005 62
Torsional Irregularity
For S.D. Category C, D, E or F accidental eccentricity must be multiplied by Ax
0.32.1
2
max
avgxAwhere
avgmaxmin
extreme
irregular
avg 4.1
2.1max
2007 Structures Congress Seismic Design Under ASCE 7-2005 63
ELF - Overturning Moments
.
Story force times heightto level under consideration.
• Overestimate where higher modes are significant• Prior “codes” allowed up to a 20% reduction in tall buildings• Now require modal analysis for such structures, thus this
provision is now deleted• Moment can be reduced 25% at foundation, permitting
some rocking
F V M
xi
n
xiix hhFM
2007 Structures Congress Seismic Design Under ASCE 7-2005 64
Definition of Drift
I
C xedx
Structural displacement,
where,
xe Elastic deflection calculatedfrom design forces
dC Deflection amplification factor
Importance factorI
No reduction for ASD,but, can ignore limit on T
2007 Structures Congress Seismic Design Under ASCE 7-2005 65
Stability: P-Δ Effects
P
ΔDeflection introduces P-Δ momentwhich increases deflection, whichincreases moment …..
Structure must be designed to prevent collapse due to P-Δ effects
2007 Structures Congress Seismic Design Under ASCE 7-2005 66
Stability: P-Δ Effects
• Determine stability coefficient, θ, for each story
dsxx
x
ChV
P
• If θ > 0.10 at any level, then all design forces andmoments must be increased by factor 1+ad
1dawhere
• Check 25.05.0
max dC
2007 Structures Congress Seismic Design Under ASCE 7-2005 67
Derivation of Stability Factor θδf
h
V
P
kV
P
V
δUndeformed
ADeformed
BResponse
C
Equilibrium at B: 0 hkPVh ff
Define: 0, o
ffo
hVPVhthenVk
Rearranging terms:
11
o
o
of
VhP
2007 Structures Congress Seismic Design Under ASCE 7-2005 68
P-Delta
• What if your analysis program “includes” P-Delta and you don’t want to make a second set of output?
max must still be checked
• Compute * from displacements that include P-Delta, then
max*1
*
2007 Structures Congress Seismic Design Under ASCE 7-2005 69
12.9 Modal Response Spectrum Analysis Method
1. Minimum Number of Modes2. Adjustment of Response Parameters by
R/I (forces) and Cd/I (displacements)3. Combining Modes for Total Response4. Scaling of Design Values5. Horizontal Shear Distribution, Torsion6. P-Delta7. Soil Structure Interaction
2007 Structures Congress Seismic Design Under ASCE 7-2005 70
M.R.S. Analysis• Include enough modes to obtain a combined
modal mass participation of at least 90% of the actual mass in each of the orthogonal directions of response
• Short period branch of spectrum is usable• Divide spectrum by (R/I) to obtain force
responses• Multiply each displacement by (Cd/I)
2007 Structures Congress Seismic Design Under ASCE 7-2005 71
Combining Modal Results
• Basic rule is Square Root of Sum of Squares (SRSS)
• Complete Quadratic Combination (CQC) always permitted (see ASCE 4)
• CQC required where modal periods are closely spaced or where translational and torsional modes are cross correlated
2007 Structures Congress Seismic Design Under ASCE 7-2005 72
Design Response Spectrum
0.0
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0 1 2 3 4 5 6 7TST0 Period, seconds
Spe
ctra
l Acc
eler
atio
n, g
0.4SDS
Sa = SD1 / T
Sa = SDS(0.4 + 0.6 T/T0)
Sa = SD1 TL / T2
Drawn for SS = 1.0, Fa = 1.0 S1 = 0.4, Fv = 1.5 TL = 4
2007 Structures Congress Seismic Design Under ASCE 7-2005 73
Scaling Modal Results
• Compute limiting base shear, V, by ELF; if T exceeds CuTa, then use T = CuTa
• Compare 85% of this force with combined modal base shear, Vt
• If Vt < 0.85V then multiply all combined response quantities from modal analysis by 0.85V / Vt
2007 Structures Congress Seismic Design Under ASCE 7-2005 74
M.R.S. Analysis
• Critical direction of load applies (orthogonal
combinations)
• Inherent torsion automatically included
• Accidental torsion: two choices:
– Offset mass to achieve accidental eccentricity
- Include static torsion as a load case
• P-Delta applies as for ELF
• Soil Structure Interaction analysis permitted
2007 Structures Congress Seismic Design Under ASCE 7-2005 75
12.12 Drift and Deformation
1. Story Drift– Satisfy limits per table; occupancy is factor– If irregular, include torsion effect in SD Cat C+– Divide allowable by for MF in SD Cat D+
2. Diaphragm Deflection
3. Building Separation
4. Compatibility for SD Category D+
2007 Structures Congress Seismic Design Under ASCE 7-2005 76
Drift Ratio LimitsStructure Occupancy Category UBC
I or II III IV
4 stories, no masonry 0.025 0.020 0.015 0.025*
Masonry cantilever 0.010 0.010 0.010
Other masonry 0.007 0.007 0.007
All other 0.020 0.015 0.010 0.020*
2007 Structures Congress Seismic Design Under ASCE 7-2005 77
Deformation Compatibility
Applies to
• SD Category D+
• All structural components not in SFRS
• Check capacity for gravity load combined with effects induced from design drift; rational analysis of restraint required
• ACI 318 Chap 21 acceptable alternate
2007 Structures Congress Seismic Design Under ASCE 7-2005 78
Overview• Reorganization• New maps; Long period map• New systems, revised R factors and limitations• Diaphragm assumptions• Redundancy factor• Dynamic analysis triggers• Near fault spectral shape applicability• Modal response spectrum analysis• Simplified design method
2007 Structures Congress Seismic Design Under ASCE 7-2005 79
12.14 Simplified Alternate
1. General (Limitations/Eligibility)
2. Design Basis (& Load Combinations)
3. SFRS Identification (& Combinations)
4. Diaphragm Flexibility
5. Direction of Loading
6. Design & Detailing: Load path connections, collectors, wall anchorage
7. ELF Analysis
2007 Structures Congress Seismic Design Under ASCE 7-2005 80
Limitations
• Occupancy Category I or II
• Site Class A, B, C, or D
• 1, 2, or 3 stories
• Bearing Wall or Building Frame System– Braced frames or shear walls– No unbraced (moment) frames
• “Regular”
2007 Structures Congress Seismic Design Under ASCE 7-2005 81
Torsional Regularity
• Flexible diaphragms:– Overhang (cantilever) < depth / 5– Controls displacement at edge– Controls torsion in non-flexible
• Non-flexible diaphragm– Eccentricity < 15% width of diaphragm– Minimum torsional stiffness
2007 Structures Congress Seismic Design Under ASCE 7-2005 82
Torsion
m
ii
n
jjj
m
iii kb
b
edkdk
11
21
1
1
1
222
1
211 )05.0(5.2
•k1i - lateral stiffness, wall “i” parallel to 1
•k2j - lateral stiffness, wall “j” parallel to 2
•d1i,- the distance from the wall “i” to the
center of rigidity, perpendicular to axis 1•d2j is the distance from the wall “j” to the
center of rigidity, perpendicular to axis 2•e1 is the distance perpendicular to axis 1
between the center of rigidity and the center of mass•b1 is the width of the diaphragm
perpendicular to axis 1•m is the number of walls in direction 1•n is the number of walls in direction 2
2007 Structures Congress Seismic Design Under ASCE 7-2005 83
Regularity
• Limit skewed alignments to 15 degrees
• Use simplified method for design in both horizontal directions
• No in-plane or out-of-plane offsets– Exception: shear walls in 2 story light frame
– Must use Ω0 ( = 2.5 for all structures)
• No weak stories (80% rule)
2007 Structures Congress Seismic Design Under ASCE 7-2005 84
Seismic Design Category
• Limited to Occupancy groups I and II
• Only use SDS, therefore
SDS < 0.33 gives Category B
SDS < 0.50 gives Category C
SDS > 0.50 gives Category D
• Can have Category E if S1 is high
2007 Structures Congress Seismic Design Under ASCE 7-2005 85
Combined Effects
• Vertical Seismic Load =
• Combine positive vertical seismic load where gravity and effect of horizontal seismic add; combine negative vertical seismic load where gravity offsets effect of horizontal seismic
• Orthogonal combinations not required
0 2. S WD S
2007 Structures Congress Seismic Design Under ASCE 7-2005 86
R Factor Table
• Includes wood shear walls, all concrete and masonry walls and all steel bracing systems – special, ordinary, intermediate, plain, detailed, etc – and composite steel/concrete walls
• Includes specific citations to reference standards for detailing the systems
• No Cd or Ω0 factors here
2007 Structures Congress Seismic Design Under ASCE 7-2005 87
Detailed Rules
• Connections: 0.2SDSwi or 0.05wi
• Openings and corners in shear panels
• Collectors: Ω0 = 2.5 (except light frame)
• Diaphragms: – use the story force– provide continuous ties
• Anchor concrete/masonry walls (flexible)
2007 Structures Congress Seismic Design Under ASCE 7-2005 88
Detailed Rules
• No orthogonal combinations
• Redundancy factor = 1.0
• Bearing walls: out of plane = 0.4SDSwc
• Nonstructural components – same as any other building
2007 Structures Congress Seismic Design Under ASCE 7-2005 89
Simplified ESF Analysis
• Base Shear
• Story Force
• Story factor F =
1.0 for one story
1.1 for two stories
1.2 for three stories• Same acceleration at all
levels of building (very simple!)
• No I factor, No period T
VF S
RWD S
FF S
Rwi
D Si
2007 Structures Congress Seismic Design Under ASCE 7-2005 90
Simplified Response Acceleration
• Use only SDS; don’t use S1S
• Equation
• Site response amplifier Fa =
1.0 for rock
1.4 for soil
S F SD S a S
2
3
2007 Structures Congress Seismic Design Under ASCE 7-2005 91
Drift and Separation
• Do not have to check drift
• Use 1% drift for purposes of building separation, nonstructural component compatibility, etc, unless actually computed
2007 Structures Congress Seismic Design Under ASCE 7-2005 92
Overview• Introduction to Earthquake Engineering• Basic Criteria in ASCE 7 – 2005
– Ground Motions
– Response Spectrum
– Occupancy and Seismic Design Categories
• Seismic Design for Buildings– Basic Requirements
– System Requirements
– Analysis
– Diaphragms, Walls, Foundations
– Simplified Method
2007 Structures Congress Seismic Design Under ASCE 7-2005 93
Errata
• Go to the SEI website
www.seinstitute.org
• Go to the “Publications” in the bar at the top
• Click on the “Errata” tab
• Download pdf files for ASCE 7-05 (and any other structural standards you may need)