Bending Moments and max deflection

[Brooks18]

Please could some help me get around this problem I know the derived formulas are all over the internet, but I wanted to prove it out myself. Its for a supported beam 2 end beam, worked out the max bending moment is M=PL/4. However I just can't seem to get the max deflection equation of δ=(PL3)/(48EI) and dv/dx. I keep getting δ=(PL3)/(24EI), I know its probably a stupid mistake I'm making to do with the boundary conditions. If anyone can help point out where I'm going wrong that would be great.

 

[berkeman]

Please could some help me get around this problem I know the derived formulas are all over the internet, but I wanted to prove it out myself. Its for a supported beam 2 end beam, worked out the max bending moment is M=PL/4. However I just can't seem to get the max deflection equation of δ=(PL3)/(48EI) and dv/dx. I keep getting δ=(PL3)/(24EI), I know its probably a stupid mistake I'm making to do with the boundary conditions. If anyone can help point out where I'm going wrong that would be great.

Welcome to the PF.

Could you post a diagram about the scenario? This sounds like more of a studying task rather than an assigned homework problem, right?