THE SLOPE DEFLECTION METHOD SOLVED BY ITERATION FOR THE STRUCTURAL CALCULATION OF BUILDING FRAMES AND CONTINUOUS BEAMS: THE METHOD FASTER, ACCURATE AND EASY FOR MANUAL CALCULATION OF STRUCTURES

The Slope Deflection Method is being introduced in this work, by iteration that means that either the angular deformations or the floor displacements are determined by successive approximations. In this way, it is obtained a manual method of calculation of high practice significance, very effective by the speed to reach the final values, and as it is considered an exact method, within his limitations, come to fill a necessity of the professionals and the students of the specialty.
The iterative method that it is proposing is based in the deformation equations, derived, in turn, of the Slope-Deflection equations, placed in easy and practical form of to use and to understand, applied to the equilibrium of a joint, called equation of joint and in the displacement equation, derived of section done at floor level of the frame and formulating the equilibrium equation for that floor.
The iterative method comes to be, in this case, the solution by successive approximations of the joint's equation and the displacements' equation. The coefficients of those equations come to be, the constants of member, of joint and of floor.