A tapered cantilever beam AB supports a concentrated load P at the free end (see figure).

The cross sections of the beam are rectangular tubes with constant width b and outer tube depth dA at A, and outer tube depth dB = 3dA/2 at support B. The tube thickness is constant, t = dA/20. IA is the moment of inertia of the outer tube at end A of the beam. If the moment of inertia of the tube is approximated as Ia(x) as defined, find the equation of the deflection curve and the deflection dA at the free end of the beam due to the load P.

Transcribed Image Text:

3 10x bd3 dA