Slope Deflection Equations
The slope deflection equations express the member end moments in terms of rotation angles. The slope deflection equations of member ab of flexural rigidity and length are:
where, are the slope angles of ends a and b respectively, is the relative lateral displacement of ends a and b. The absence of cross-sectional area of the member in these equations implies that the slope deflection method neglects the effect of shear and axial deformations.
The slope deflection equations can also be written using the stiffness factor and the chord rotation :
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