Abstract
Solutions based on fundamental aspects of beam theory are used for establishing some new methods in the structural analysis of continuous beams and frames. New slope-deflection equations are given which represent an improvement over the conventional slope-deflection method. A method using end moments and deflections as primary quantities is presented as an alternative procedure to the slope-deflection method. This alternative method is referred to as the moment - or curvature-deflection method. The method and some results based on the alternative procedure are compared with the slope-deflection method through illustrative examples. A third procedure of using Fourier series in conjunction with the Stokes' transformation is discussed. The Stokes' transformation procedure suggests that the choice of end curvatures and deflections as primary quantities used in the moment-deflection method is more natural than choosing the end slopes and deflections.
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