This method was developed by Axel Bendexon in Germany 1914. It was presented in greater detail by Prof. G.A Maney of university of Minnesota in 1915. In the slope deflection method all joints are considered rigid I.e , Angles between members at the joint are considered not to change with application of loads. Thus the joints at the interior supports of statically indeterminate beams can be considered as 180 degree rigid joints and joints in the right angled rigid frame as 90 degree rigid joints. When the beams or rigid frames are deformed, the rigid joint are considered to rotate as a whole which means that the angle between tangents to the various parts of the elastic curve meeting at a joint remains the same as those in the original under formed structure. In this way compatibility condition of the structure is satisfied.
Calculation of forces (reactions)
Calculate the support moments of the beam shown below
Below is different orientation of loading for fixed end moment