Modelling Reinforced and Prestressed Concrete Structures Subjected to Shear and Torsion

In the design and analysis of reinforced and prestressed concrete structures, engineers are often faced with complex loading conditions that require the assessment of members subjected to shear and torsion. To develop a better understanding of the behaviour of such structures, twelve shell element tests were conducted to investigate the influence of combined loads, reinforcement ratios and concrete strength on shear and torsion performance. Ten of the tests were subjected to combinations of in-plane shear and out-of-plane shear in addition to torsion, flexure and biaxial loads. The remaining two tests, cast from high-strength concrete, were subjected to combinations of in-plane shear and biaxial stresses. This thesis then presents five simplified analysis methods, based on the Modified Compression Field Theory, that can be used to model the behaviour of reinforced and prestressed concrete structures. Shell II-S, a three-layered sectional model capable of predicting the response of shells subjected to the eight stress resultants, is presented. Based on Shell II-S, a simplified three-layered finite element model for shells is presented, the method is called Shell II. These techniques are then used to inform the development of simplified design and analysis equations in the context of the Canadian shear design provisions. To assess the nonlinear response of beams subjected to the six stress resultants, a companion method to Shell II is presented, it is called VAST II. The finite element program is based on the variable angle space truss model for beams and can be used to rapidly model the full nonlinear response of structures in three-dimensions. Finally, a simplified calculation process, called the Single Element Method, is presented where a single membrane element is used along with simplified calculations to model the shear behaviour of slender and deep beams.

Department dc:contributor.department

Civil Engineering

Year dc:date.issued

2018

Author dc:creator

• Proestos, Giorgio Talotti

Advisors dc:contributor.advisor

• Collins, Michael P
• Bentz, Evan C
• Calvi, Gian Michele

• Modelling
• Prestressed Concrete
• Reinforced Concrete
• Shear
• Structures
• Torsion

Handle dc:identifier.uri

http://hdl.handle.net/1807/92147

OAI identifier oai:identifier

oai:utoronto.scholaris.ca:1807/92147