Question

Difference between moment area method and conjugate beam method

Answer 1

Both of them are used to determine slope and deflection of beams .
Let's start with moment area method
Here the basic principle starts from direct Integration method . 
The Direct integration technique use the famous deflection equation I.e EIK=M , where the terms E is modulus of elasticity , I the second moment of area , K curvature which is the second derivative of the deflection curve function and finally M is the moment. 
So bY rearranging( K=(M/(EI)) and integrating once we get slope function , and upon integration of the slope function we get the deflection curve.
But wait integrating once means area of some curve and twice it gives the moment of area of the curve. So based on this moment area method have two theorems
Moment area theorems 1 states that the area between two points on the M/(EI) diagram gives the change in slope between the two points.
And the second moment of area theorems states that the moment of the area between two points is the tangential deviation between the two points.