Simplification of load on beam for Max M and D

[Lisciu]

Guys I have tricky question :

I have beam loaded like that:

Is there any easy way to do simplification of this load ( I don't mean transfer the UDL to Point Load). Mentioned that I mean the way to not do the calculation of moment to find max in 4 section and the two almost 4 double integrals to get the deflection formula.

Is there a way to change all to point load sum up and place in some x position? Or there is no way to find this max moment and deflection formula easier way?

 

[Infinitybyzero]

Since deflection is the second integral of moment, you could conceivably find point loads that cause the same maximum moment in each section and it should provide identical maximum deflection.