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UNBONDED POST-TENSIONING: SEISMIC APPLICATIONS IN CONCRETE STRUCTURAL WALLS. Yahya C. Kurama University of Notre Dame Notre Dame, Indiana, U.S.A. Tokyo Institute of Technology Yokohama, Japan August 16, 2000. ELEVATION. anchorage. wall panel. unbonded PT steel. horizontal joint.
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UNBONDED POST-TENSIONING: SEISMIC APPLICATIONS IN CONCRETESTRUCTURAL WALLS Yahya C. Kurama University of Notre Dame Notre Dame, Indiana, U.S.A Tokyo Institute of Technology Yokohama, Japan August 16, 2000
ELEVATION anchorage wall panel unbonded PT steel horizontal joint spiral reinforcement foundation
LATERAL DISPLACEMENT precast wall gap opening shear slip
BEHAVIOR UNDER LATERAL LOAD base shear, kips (kN) 800 (3558) concrete crushing (failure) PT bar yielding (flexural capacity) effective linear limit (softening) gap opening (decompression) roof drift, % 0 1 2
BONDED VERSUS UNBONDED BEHAVIOR D D N H bonded wall unbonded wall
HYSTERETIC BEHAVIOR base shear, kips (kN) 800 (3558) roof drift, % 1 -2 2 -1 0 -800 (-3558)
OUTLINE • Unbonded post-tensioned precast walls • without supplemental damping • with supplemental damping • Unbonded post-tensioned hybrid coupled walls
UNBONDED POST-TENSIONED WALLSWITHOUT SUPPLEMENTALENERGY DISSIPATIONAnalytical Modeling
ANALYTICAL MODEL node truss element constraint fiber element wall model cross-section
BEAM-COLUMN SUBASSEMBLAGE TESTS NIST (1993) N H upper crosshead 7.5 ft (2.3 m) 4.3 ft (1.3 m) lower crosshead
MEASURED VERSUS PREDICTED RESPONSE lateral load, kips (kN) 50 measured (NIST) predicted drift, % -6 6 0 -50 (222) El-Sheikh et al. 1997
FINITE ELEMENT (ABAQUS) MODEL nonlinear plane stress elements truss elements contact elements
FINITE ELEMENT VERSUS FIBER ELEMENT base shear, kips (kN) 1000 (4448) yielding state 500 gap opening state finite element fiber element 0 0.5 1 1.5 2 2.5 roof drift, %
DESIGN OBJECTIVES immediate occupancy collapse prevention base shear design level gr. mt. survival level gr. mt. roof drift
BUILDING LAYOUT FOR HIGH SEISMICITY 8 x 24 ft = 192 ft (60 m) gravity load frame lateral load frame hollow- core panels wall N 110 ft (35 m) S inverted T-beam L-beam column
WALL WH1CROSS SECTION C L PT bars ap=1.5 in2 (9.6 cm2) fpi=0.60fpu #3 spirals rsp=7% 12 in (31 cm) 10 ft (3 m) half wall length
ROOF-DRIFT TIME-HISTORY roof drift, % 4 2 0 -2 Hollister (survival) unbonded PT precast wall cast-in-place RC wall -4 0 10 20 30 time, seconds
WALLS WITH SUPPLEMENTAL ENERGY DISSIPATION U.S. National Science FoundationCMS 98-74872CAREER Program
VISCOUS DAMPED WALLS viscous damper diagonal brace bracing column floor slab wall
DAMPER DEFORMATION diagonal brace bracing column viscous damper wall panel gap
DAMPER DEFORMATION 6 tension compression 5 4 at yielding state Dllp=0.84% floor 3 2 1 0 -2 (-5) -1 2 (5) 1 damper deformation, in (cm)
DESIGN OBJECTIVE base shear SURVIVAL LEVEL GROUND MOTION damped system undamped system roof drift
DAMPER DESIGN - WALL WH1 Sa, g 3 Dllp=0.84% MIV=67 in/sec (171 cm/sec) Te = 0.64 sec. xev=3% 2 Teff=0.80 sec. 10% xr=22% 15% 23% 1 30% 40% X 0 4 8 12 16 (41) spectral displacement Sd , in (cm)
ROOF DRIFT TIME HISTORY - WALL WH1 D, % 3 damped Newhall, 0.66g undamped Dllp=0.84% 0 Dllp=0.84% -3 0 20 time, seconds
MAXIMUM ROOF DRIFT - WALL WH1 Dmax, % 7 undamped wall damped wall Dllp= 0.84% 0 0.4 0.8 1.2 peak ground acceleration PGA, g
MAXIMUM ROOF DRIFT - WALL WP1 Dmax, % 7 undamped wall damped wall Dllp= 1.14% 0 0.4 0.8 1.2 peak ground acceleration PGA, g
MAXIMUM ROOF DRIFT - WALL WP2 Dmax, % 7 undamped wall damped wall Dllp= 1.47% 0 0.4 0.8 1.2 peak ground acceleration PGA, g
2 1.5 1 0.5 undamped wall damped wall 0 0.4 0.8 1.2 peak ground acceleration PGA, g MAXIMUM ROOF ACCELERATION - WALL WH1 amax, g
U.S. National Science FoundationCMS 98-10067U.S.-Japan Cooperative Program onComposite and Hybrid Structures UNBONDED POST-TENSIONED HYBRID COUPLED WALL SYSTEMS
EMBEDDED STEEL COUPLING BEAM embedment region steel beam
TEST RESULTS FOR EMBEDDED BEAMS Harries et al.1997
POST-TENSIONED COUPLING BEAM connection region PT anchor wall region beam PT steel angle embedded plate PT steel
DEFORMED SHAPE contact region gap opening
COUPLING FORCES Vcoupling P z db P lb Vcoupling P z Vcoupling = lb
RESEARCH ISSUES • Force/deformation capacity of beam-wall connection region • beam • angle • Yielding of the PT steel • Energy dissipation • Self-centering • Overall/local stability
ANALYTICAL WALL MODEL wall beam wall truss element kinematic constraint fiber element fiber element
BEAM-WALL SUBASSEMBLAGE F L8x8x3/4 W18x234 PT strand lw = 10 ft lb = 10 ft (3.0 m) lw = 10 ft fpi = 0.5-0.7 fpu ap = 1.28 in2 (840 mm2)
MOMENT-ROTATION BEHAVIOR moment Mb, kip.ft (kN.m) 2500 (3390) Mp My 1250 ultimate PT-yield softening decompression 0 2 4 6 8 10 rotation qb, percent
CYCLIC LOAD BEHAVIOR moment Mb, kip.ft (kN.m) 2500 (3390) monotonic cyclic 0 -2500 -5 -10 0 5 10 rotation qb, percent
ap and fpi (Pi = constant) moment Mb, kip.ft (kN.m) 2500 (3390) 1250 0 2 4 6 8 10 rotation qb, percent
PT STEEL AREA moment Mb, kip.ft (kN.m) 2500 (3390) 1250 0 2 4 6 8 10 rotation qb, percent
TRILINEAR ESTIMATION moment Mb, kip.ft (kN.m) 2500 (3390) 1250 ultimate PT-yield softening smooth relationship trilinear estimate 0 2 4 6 8 10 rotation qb, percent
W18x234 82 ft (24.9 m) ap = 0.868 in2 (560 mm2) fpi = 0.7 fpu 12 ft 8 ft 12 ft (3.7m 2.4m 3.7 m) PROTOTYPE WALL
COUPLING EFFECT base moment, kip.ft (kN.m) 120000 (162720) coupled wall 80000 40000 two uncoupled walls 0 1 2 3 4 roof drift, percent
EXPERIMENTAL PROGRAM • Beam-wall connection subassemblages • Ten half-scale tests • Objectives • Investigate beam M-q behavior • Verify analytical model • Verify design tools and procedures
ELEVATION VIEW (HALF-SCALE) L4x7x3/8 W10X100 PT strand strong floor lw = 5 ft lb = 5 ft (1.5 m) lw = 5 ft fpi = 0.7 fpu ap = 0.217 in2 (140 mm2)
CONCLUSIONS • Unbonded post-tensioning is a feasible construction method for reinforced concrete walls in seismic regions • Large self-centering capability • Softening, thus, period elongation • Small inelastic energy dissipation • Need supplemental energy dissipation in high seismic regions