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MOMENT AREA METHOD OF STRUCTURAL ANALYSIS:
Theorem – I
The change in slope between tangents drawn to the elastic curve at any two points A and B is equal to the product of 
and the area of the moment diagrams between those two points (figure 1(a)).
Theorem – II
The deviation of any point B relative to a tangent drawn to the elastic curve at any other point A, in a direction perpendicular to the original position of the beam, is equal to the product of ![clip_image001[1]](https://i0.wp.com/theconstructor.org/wp-content/uploads/2010/09/clip_image001110.gif?resize=52%2C46&ssl=1 "clip_image001[1]"){kind=small}
and the moment of area about B of that part of the moment diagram between points A and B (figure 1(b)).
Fig.1
This method is useful for finding slope and deflection at a specified position.
Example:
(Area of Bending Moment diagram between A and C)
(moment of area of the BMD between A and C about C)
