Evan M. answered • 23d

M.S. Structural Engineering with a year of job experience

The equation can be broken up into

w/2(x^{2}) - (wL^{2})/8 = 0 for x - L/2 < 0, or x < L/2

and

w/2(x^{2}) - w/2*(x - L/2)^{2} - (wL^{2})/8 = 0 for x - L/2 >= 0, or x >= L/2

So now you have 2 equations you can work with, and when you find the maximum deflection in each zone, make sure the x value make sense for the zone you're in.