Beam deflection question

Colnago

1. The problem statement, all variables and given/known data

Find the maximum deflection in the beam.

E=205Gpa
Beam breadth = 195mm
UDL on beam: 40 Bar



2. Relevant equations

I have useed the method of superposition to try and solve it. Is this the best way?

It has been suggested that finding the displacement by integration would give me a more accurate answer but I'm unsure how to apply it in this case.

I am using Mechanics of Materials by R.C. Hibbler for reference.


3. The attempt at a solution

I = (bd³) / 12


I = (0.195 x 0.05³) / 12 = 2.03125x10^-6


Formula: y= (-5 x w L⁴) / (384 E I )

y = (-5 x 4x10⁶ x 0.105⁴) / (384 x 205x10⁹ x 2.03125x10^-6)


y = 0.015mm

Thanks for any help.