Chapter 9, Problem 9.3.17P

-17 A cantilever beam AB is acted upon by a uniformly distributed moment (bending moment, not torque) of intensity m per unit distance along the axis of the beam (see figure).

Derive the equation of the deflection curve and then obtain formulas for the deflection ${\delta }_B$and angle of rotation ${\theta }_B$at the free end. Use the second-order differential equation of the deflection curve.