(a) Verify Eqs. (11.46) for the sag in a horizontal beam clamped at one end and allowed to hang freely at the other end.

(b) Now consider a similar beam with constant cross section and loaded with weights, so that the total weight per unit length is W(x). What is the sag of the free end, expressed as an integral over W(x), weighted by an appropriate Green’s function?

Data from Eqs. (11.46)

Transcribed Image Text:

n(x)= = W D (²/₁² x ²- - 4 1 -lx³ + 6 21/+x¹). 24 (11.46a)