Answer :

Solution :

Given,

For cantilever beam at $x=0,\frac{dy}{dx}=0\mathrm{\&}x=0,y=0$ (x taken from fixed-end).

From this we get C₁ = C₂ = 0, Hence

$y=\frac{M{x}^2}{2EI}$

Now at x = L/2, the deflection will be

$y=\frac{M{L}^2}{8EI}$