1550078481-Ordinary_Differential_Equations__Roberts_

Applications of Linear Equations with Constant Coefficients 311

Exercise 10. Find the critical load (Euler load) for a column of length L
supported in the following ways.

a. Base and top pinned.

b. Base and top clamped.

c. Base clamped and top free to move vertically. (The boundary conditions

at the top are y(L) = o where o -=f. 0 and y"(L) = 0.)