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Showing posts from November, 2012

SLOPE DEFLECTION METHOD

The slope deflection equations express the member end moments in terms of rotation angles and deflections. The slope deflection method is used for analysis of statically indeterminate structures such as beams and frames. This method was  introduced  by Prof.George A. Maney,in 1915. Sign Convention: 1. The clock wise moments,and clock wise rotations/slopes are taken as positive ones. 2. The down ward displacements of the right end with respect to the left end of horizontal  member is considered as positive. 3. The right ward displacement of upper end with respect to lower end of a vertical member is taken as positive.  Assumptions in the slope- deflection method: 1. The material of the structure is linearly elastic. 2. The structure is loaded with in elastic limit. 3. Axial displacements,Shear displacements are neglected. 4. Only flexural deformations are considered The slope deflection equations of member AB of flexural rigidity E a b I a b  and length  L a b  and t h