Design of Thick Concrete Plates Using Strut-and-Tie Model

A strut-and-tie model is developed to model the punching shear behavior of thick concrete plates. This model provides a quick and simple approach to punching shear behavior. It is applicable to both normal- and high-strength concrete under symmetric and nonsymmetric loading with and without shear reinforcement. The strut-and-tie model for symmetric punching consists of a "bottle-shaped" compressive zone in the upper section of the slab depth, leading to a "rectangular-stress" compressive zone in the lower section depth. An equation based on failure criteria for the strut-and-tie method is used to model the behavior in the lower compressive stress zone. Another strut-and-tie model is also developed to rationally model nonsymmetric punching shear behavior due to unbalanced moment transfer and symmetric punching behavior of concrete slabs with shear reinforcement. The results of the strut-and-tie models for symmetric and nonsymmetric loading with and without shear reinforcement were compared to experimental test results performed and published by others. The results of the strut-and-tie models showed excellent agreement with available test results.

[1]  Walter H. Dilger,et al.  Influence of Slab Thickness on Punching Shear Strength , 2008 .

[2]  H. Marzouk,et al.  Punching Shear of Thick Plates with and without Shear Reinforcement , 2011 .

[3]  Amin Ghali,et al.  Concrete flat plates with well-anchored shear reinforcement elements , 1982 .

[4]  Carl Erik Broms,et al.  Punching of flat plates : a question of concrete properties in biaxial compression and size effect , 1990 .

[5]  Gib Rankin,et al.  PREDICTING THE PUNCHING STRENGTH OF CONVENTIONAL SLAB-COLUMN SPECIMENS. , 1987 .

[6]  H. Marzouk,et al.  Experimental Investigation on the Behavior of High-Strength Concrete Slabs , 1992 .

[7]  Aurelio Muttoni,et al.  Behavior of Beams and Punching in Slabs without Shear Reinforcement , 1991 .

[8]  H. K. Hilsdorf,et al.  Code-type formulation of fracture mechanics concepts for concrete , 1991 .

[9]  Alaa G. Sherif,et al.  Punching Strength of Reinforced Concrete Footings , 2009 .

[10]  David Yitzhaki,et al.  Punching Strength of Reinforced Concrete Slabs , 1966 .

[11]  H. Marzouk,et al.  Effect of High-Strength Concrete Slab on the Behavior of Slab-Column Connections , 1998 .

[12]  S. Kinnunen,et al.  Punching of concrete slabs without shear reinforcement , 1960 .

[13]  H. Marzouk,et al.  Experimental Investigation on Shear Enhancement Types for High-Strength Concrete Plates , 1997 .

[14]  D. D. Theodorakopoulos,et al.  Ultimate punching shear strength analysis of slab–column connections , 2002 .

[15]  H. Marzouk,et al.  FRACTURE ENERGY AND TENSION PROPERTIES OF HIGH-STRENGTH CONCRETE , 1995 .

[16]  N. J. Gardner Relationship of the Punching Shear Capacity of Reinforced Concrete Slabs With Concrete Strength , 1990 .