Do you have any sample problem in solving for the angle of rotation in the deflection of the beam at any point using area moment method? Thanks :)

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The area-moment method is suitable for finding the rotation of a "specific" point on the beam not at "any" point. And note also that the rotation found using area-moment method is a relative rotation, for it is a rotation between two tangents. Double integration method is more appropriate if you wish to find the rotation of beam at any point.