CONJUGATE BEAM METHOD FOR SLOPE & DEFLECTION - SIMPLY SUPPORTED BEAM WITH UDL & POINT LOADS

As Slope an Deflection is important for any loaded beam, there are so many different methods are used. out of which one method is "Conjugate Beam Method". Conjugate beam is defined as the Fictitious or Imaginary beam with the same length as that of the given beam and support conditions may be changed or as it is as per rule but loading on conjugate beam is bending moment divided by EI.

[@pvt765]

In second triangle...???
Why you take cg distance 1/3×2....it is 2/3×2 hoga....???

[@KHENISIR]

Dear Friend.....
As per rules the CG distance for traingle from apex is 2/3 and its 1/3 of distance from side......
If you go through this, you will get 1/3 of distance for 2nd traingle...

[@Amityadav-wj1im]

Thanks sir nice explanation. ❤

[@KHENISIR]

So nice of you

[@capone9905]

Can you explain 10:53 for me please?

[@KHENISIR]

Sure...as per the definition of Shear Force, person can assume either left or right side of section for unbalanced Vertical Force....
During calculation at 10:53, if left side is assumed than vertical upward reaction than downward trapezoidal as well as UVL is taken for account and calculation is time consuming
So as per the definition, at that location, right side section is assumed so that only the vertical reaction at B as unbalanced force and acc to sign convention, right side upward force is assumed as Negative
Hope so your query is now resolved

[@capone9905]

Can you please break it down further

[@KHENISIR]

Sure... It depends that either person have to consider the left side or right side as per definition
If you calculate the left side unbalanced loads then you will get the same value as the right side
.. just we have to take care about sign conventions

[@goat8326]

udl Curve cg 3/Length * base