This equation is commonly called the Euler-Bernoulli beam equation, or just the beam equation. You may wish to review the reading for sub-subunit 3.1.3.
Attribution:
Stephanie Redfern, Ranjeet (Ron) Agarwala, and Dr. Steve Gibbs. Mechanics I. The Saylor Academy 2014, http://www.saylor.org/courses/me102/