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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.
An integrated form of yield line method incorporating finite elements and linear programming is developed and applied to some illustrative problems. The method is simple to operate and provides an upper bound to the collapse load of the continuous slab. The method is a further example of a significant trend towards the solution of problems of engineering plasticity by mathematical programming.
J. Munro and A.M.A. Da Fonseca