Find out the deflection:
Find out the deflection (vertical) at a distance 'a' from the tip in Example
As in this case there is no load at the point where the deflection is required, we introduce a fictitious load Q as illustrated in Figure.
M = - Px and ∂M /∂Q = 0 for 0 ≤ x ≤ a
M = - Px - Q ( x - a) and ∂M/∂Q = - ( x - a) for a ≤ x ≤ L