Design of transverse reinforcement to avoid premature buckling of main bars

• Published in: Earthquake engineering & structural dynamics Vol. 47; no. 1; pp. 147 - 168
• Main Authors: Dhakal, Rajesh Prasad, Su, Junsheng
• Format: Journal Article
• Language: English
• Published: Bognor Regis Wiley Subscription Services, Inc 01.01.2018
• Subjects: Bars; Buckling; capacity design; Compression; confinement; Deformation; Design; Design criteria; Ductility; Hoops; Length; main bars; Plastic deformation; Plastics; Reinforced concrete; Reinforcement; Rigidity; Stiffness; Stirrups; Strength; transverse reinforcement; Yield strength; Yield stress; Yields
• ISSN: 0098-8847; 1096-9845
• DOI: 10.1002/eqe.2944

Summary This paper proposes an enhancement to the current strength and confinement‐based design of transverse reinforcement in rectangular and circular reinforced concrete members to ensure that the flexural strength of reinforced concrete sections does not degrade excessively due to buckling of longitudinal bars until the desired level of plastic deformation is achieved. Antibuckling design criteria are developed based on a popular bar buckling model that uses a bar buckling parameter (combining the bar diameter, yield strength, and buckling length) to solely describe the bar buckling behavior. The value of buckling parameter that limits the buckling‐induced stress loss to 15% in compression bars at the strain corresponding to the design ductility is determined. For a bar of known diameter and yield strength, the maximum allowable buckling length can then be determined, which serves as the maximum limit for the tie/stirrup/hoop spacing. Lateral stiffness required to restrain the buckling tendency of main bars at the locations of the ties/stirrups/hoops depends on the flexural rigidity of the main bars and the buckling length (equal to or multiple of tie/hoop/stirrup spacing), whereas the antibuckling stiffness (ie, resistance) provided by the ties/stirrups/hoops depends on their size, number, and arrangement. Using the above concept, design recommendations for the amount, arrangement, and spacing of rectangular and circular ties/stirrups/hoops are then established to ensure that the antibuckling stiffness of the provided transverse reinforcement is greater than the stiffness required to restrain the buckling‐prone main bars. Key aspects of the developed method are verified using experimental tests from literature.