Using the double$-$integration method:

a$)$ Determine the equations of the elastic curve $($deflection$)$ and slope of the beam shown in Figure $4.$ Assume the $x$ coordinate begins at the free end $($point B$).$

b$)$ Given $E=29,000$ksi and $I=600i{n}^4,$ specify the slope and deflection at point B$.$

Note: Use units of inches for lengths and kips for forces throughout your calculations. Hint: $2\frac{k}{ft}=\frac{1}{6}\frac{k}{in},15ft=180$ in