DESIGN OF LARGE OPENINGS IN UNBONDED POST-TENSIONED PRECAST CONCRETE WALLS Michael G. Allen Yahya C. Kurama University of Notre Dame Notre Dame, IN PCI.

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Presentation transcript:

DESIGN OF LARGE OPENINGS IN UNBONDED POST-TENSIONED PRECAST CONCRETE WALLS Michael G. Allen Yahya C. Kurama University of Notre Dame Notre Dame, IN PCI Convention, Palm Springs, California, October 17-20, 1999

1998 PCI Daniel P. Jenny Research Fellowship University of Notre Dame

ELEVATION wall panel horizontal joint unbonded PT steel spiral reinforcement foundation anchorage

GAP OPENING BEHAVIOR gap

BASE PANEL compression stresses shear stresses

CRACKING

RESEARCH OBJECTIVES Develop analytical model Conduct parametric investigation Develop design approach

FINITE ELEMENT MODEL truss elements contact elements nonlinear plane stress elements

ABAQUS MODEL

GAP OPENING

ABAQUS VERSUS DRAIN base shear (kips) roof drift (%) DRAIN yielding state gap opening state ABAQUS

ABAQUS VERSUS DRAIN roof drift (%) contact length / wall length ABAQUS DRAIN

CLOSED FORM VERIFICATION (Savin 1961) (INFINITE PANEL) f tx T C

ABAQUS VERSUS CLOSED FORM SOLUTION f tx (ksi) closed form (Savin 1961) ABAQUS h o /l o lolo hoho

PARAMETRIC INVESTIGATION Wall length Initial concrete stress Opening size

WALL LENGTH 10 feet x 16 feet 15 feet x 16 feet 20 feet x 16 feet

INITIAL CONCRETE STRESS l p =20 feet C L f ci =1.48 ksi (high seismicity) f ci =0.67 ksi (medium seismicity) f ci =0.34 ksi (no seismicity)

OPENING SIZE lolo hoho h p =16 feet l p =20 feet hoho 2 feet (0.13 h p ) 4 feet (0.25 h p ) 6 feet (0.38 h p ) 8 feet (0.50 h p ) lolo 2 feet (0.10 l p ) 4 feet (0.20 l p ) 8 feet (0.40 l p ) 6 feet (0.30 l p ) 10 feet (0.50 l p )

STAGES OF RESPONSE Gravity and post-tensioning only Gap opening PT steel yielding Concrete crushing

UNDER GRAVITY AND POST-TENSIONING ONLY A sf or A sc

EFFECT OF f ci (l p =20 feet) A sf (in 2 ) f ci h o /h p =0.125 h o /h p =0.25 h o /h p =0.375 l o /l p =0.3 lolo lplp hphp hoho

EFFECT OF f ci (l p =20 feet) A sf (in 2 ) f ci l o /l p =0.1 l o /l p =0.2 l o /l p =0.4 l o /l p =0.3 h o /h p =0.25 lolo lplp hphp hoho

A sf (in 2 ) h o /h p l p =20 feet l p =15 feet l p =10 feet EFFECT OF h o (f ci =0.68 ksi) l o /l p =0.3 lolo lplp hphp hoho

A sf (in 2 ) l o /l p l p =20 feet l p =15 feet l p =10 feet EFFECT OF l o (f ci =0.68 ksi) h o /h p =0.25 lolo lplp hphp hoho

EFFECT OF f ci (l p =20 feet) A sc (in 2 /ft) f ci h o /h p =0.125 h o /h p =0.25 h o /h p =0.375 l o /l p =0.3 lolo lplp hphp hoho

EFFECT OF f ci (l p =20 feet) A sc (in 2 /ft) f ci l o /l p =0.1 l o /l p =0.2 l o /l p =0.4 l o /l p =0.3 h o /h p =0.25 lolo lplp hphp hoho

EFFECT OF h o (f ci =0.68 ksi) 0.5 h o /h p 0.25 A sc (in 2 /ft) 0 l p =20 feet l p =15 feet l p =10 feet l o /l p =0.3 lolo lplp hphp hoho

A sc (in 2 /ft) l o /l p h o /h p =0.25 l p =20 feet l p =15 feet l p =10 feet EFFECT OF l o (f ci =0.68 ksi) lolo lplp hphp hoho

DESIGN PREDICTION T C C

PREDICTED VERSUS ABAQUS (l p =20 feet) A sf (in 2 ) f ci predicted ABAQUS l o /l p =0.3 h o /h p =0.25 lolo lplp hphp hoho

A sf (in 2 ) h o /h p l p =20 feet PREDICTED VERSUS ABAQUS (f ci =0.68 ksi) l o /l p =0.3 predicted ABAQUS lolo lplp hphp hoho

A sf (in 2 ) l o /l p l p =20 feet PREDICTED VERSUS ABAQUS (f ci =0.68 ksi) h o /h p =0.25 predicted ABAQUS lolo lplp hphp hoho

PREDICTED VERSUS ABAQUS (l p =20 feet) predicted ABAQUS f ci l o /l p =0.3 h o /h p =0.25 A sc (in 2 /ft) lolo lplp hphp hoho

h o /h p l p =20 feet PREDICTED VERSUS ABAQUS (f ci =0.68 ksi) l o /l p =0.3 predicted ABAQUS lolo lplp hphp hoho

l o /l p A sc (in 2 /ft) l p =20 feet PREDICTED VERSUS ABAQUS (f ci =0.68 ksi) h o /h p =0.25 predicted ABAQUS lolo lplp hphp hoho

h o /l o 1.0 l p =10 feet (f ci =0.68 ksi) l p =15 feet (f ci =0.44 ksi) l p =15 feet (f ci =0.68 ksi) l p =20 feet (f ci =0.68 ksi) l p =20 feet (f ci =1.48 ksi) l p =20 feet (f ci =0.67 ksi) l p =20 feet (f ci =0.34 ksi) 1.5 A sf (predicted/ABAQUS) ALL CASES 0.5

CONCLUSIONS Analytical Model ABAQUS model developed for walls with openings ABAQUS results compare well with DRAIN-2DX results and closed form results Parametric Investigation Gravity and post-tensioning loads only As f ci increases, steel requirement increases significantly As h o increases, steel requirement decreases, especially for longer walls As l o increases, steel requirement increases, especially for shorter walls

CONCLUSIONS Design Approach Utilizes a strut-and-tie model Can be used to predict the ABAQUS results; and To design the reinforcement above the openings –A sc to prevent cracking –A sf to minimize crack widths

REMAINING WORK Design for lateral loads Experimental verification (Lehigh Tests)