This study presents an analytical model for predicting moment-deformation relationships of partially prestressed concrete joints under generalized load excitations. The proposed joint model comprises three interrelated integral parts: 1) The material constitutive relations, 2) The slip model and 3) The non linear analysis. In the first part, the stress-strain relationships used in the non linear analysis to characterize the behavior of concrete and reinforcing steel under cyclic loading were introduced. A new model for predicting the stress-strain relationship of prestressing steel under cyclic loading was also introduced. The model showed very good agreement with experimentally observed results. In the second part, a slip model, based on a linear relationship between local bond stress and slip, was proposed. Using this model, it was possible to find steel stress, steel strain, bond stress and slip distributions along the bar anchorage length. In addition to its tremendous efficiency in computation, the proposed slip model proved to be accurate when compared with experimentally observed results and also retained most of the accuracy of finite element predictions. The above mentioned parts were combined and implemented in a computer program which, when given proper input, can produce moment-deformation relationship of partially prestressed joints. A parametric evaluation was undertaken on two interior and one exterior typical partially prestressed concrete joints. The proposed joint model provided satisfactory analytical results which are compatible with well established facts pertaining to hysteretic behavior of partially prestressed concrete joints Also, results of the proposed joint model proved to be in good agreement with available experimental results.