Problem B $(40$ points$)$

The cantilevered beam shown below has constant $EI$ throughout its length. Using the method of

superposition in combination with the table of Beam Deflections and Slopes provided in

Appendix F of the textbook $($also available in the Class $39$ notes$),$ determine

a$)$ the elastic curve $y(x)$ for the beam, and

b$)$ the deflection at the tip $D.$