# Prestress Analysis for Continuous Beams: Some Developments in the Equivalent Load Method

*A general curved tendon element is defined, the shape of which can be varied either to simulate the parabola, cubic parabola and sine curve elements discussed in current literature or to provide some other acceptable configuration for use in formulating a continuous tendon profile. Expressions are derived for the equivalent loading components of the straight and the general curved tendon elemenfd, both types possessing a linear variation of prestressing force.Particular expressions are also given for the parabolic element which is in common use. A general method for evaluating the equivalent load system of a prestressing tendon for a beam of non-uniform cross-section is described and illustrated by a worked example. The validity of a linear variation of prestressing force in the general curved tendon element is proven in the Appendix.
B.K. Catchick*