Title: Geometric Approach to Design of Continuous Prestressed Concrete Decks with Parabolic Tendon Profiles
Author(s): H. N. Grouni
Publication: Journal Proceedings
Appears on pages(s): 16-19
Keywords: bending moments: bridge decks; mathematical models; prestressed concrete; prestressing: prestressing steels; structural analysis; structural design.
The mathematical logic and geometric significance inherent with an engineering technique are emphasized. The cable profile in continous prestresses post-tensioned members is defined by a series of parabolas tangentially connected to circular arcs over the supports. Each parabola is expressed by a second degree binomial equation. Relevent design parameters are derived from the conjugate relationships between the geometrid properties of the curves and the related force effects. From vasic conepts of the load balancing method an expression for the prestressing force required to resist the internally applied loads is derived.