By the prinCiples used in modeling the string it can be shown that
Chapter 12, Problem 12.3(choose chapter or problem)
By the prinCiples used in modeling the string it can be shown that small free vertical vibrations of a uniform elastic beam (Fig. 289) are modeled by the fourth-order PDE (21) (Ref. [CII]) where c 2 = EIIpA (E = Young's modulus of elasticity, I = moment of intertia of the cross section with respect to the y-axis in the figure, p = density, A = cross-sectional area). (Bending of a beam under a load is discussed in Sec. 3.3.)
Unfortunately, we don't have that question answered yet. But you can get it answered in just 5 hours by Logging in or Becoming a subscriber.
Becoming a subscriber
Or look for another answer