(a) Find the maximum deflection of the cantilever beam in Problem 1.

(b) How does the maximum deflection of a beam that is half as long compare with the value in part (a)?

(c) Find the maximum deflection of the simply supported beam in Problem 2.

(d) How does the maximum deflection of the simply supported beam in part (c) compare with the value of maximum deflection of the embedded beam in Example 1?

Problem 1.

The beam is embedded at its left end and free at its right end, and w(x) = w₀, 0 < x < L.

Problem 2

The beam is simply supported at both ends, and w(x) = w₀, 0 < x < L.