In this paper a numerical technique with displacement control is developed exclusively for the analysis of framed structures. In this technique, the inverse of the stiffness matrix is not required except once at the initial loading. Hence, a great saving of computation time could be achieved. Another advantage of this technique is based on the fact that the tangent stiffness matrix near and at the peak load becomes ill conditioned which in turn results in large numerical errors when dealing with solutions which require the inverse of the stiffness matrix. The method developed in this paper is an extension of the Secant method. Although the load may be applied incrementally the solution algorithm is not based on incremental formulation. The algorithm is based on assuming the displacement component corresponding to a specified degree of freedom, then solving for the load factor. Hence, the unspecified displacement vector can be obtained. A correction procedure of the load factor and the unspecified displacement vector may be performed until an acceptable accuracy is reached.

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