Problem $3(25-30$ pts$)$: Given the simply supported beam shown, where $E=29,000$ksi and $I=1530i{n}^4,$ find:

a$.(15$ pts$)$ the deflection at midspan using the conjugate beam method.

b$.(10$ pts$)$ the deflection at midspan using the double integration method.

c$.(5$pts Extra Credit$)$ Is this deflection acceptable? Why or why not?

Problem $4(20$ pts$)$: Given the simply supporte

a$.(15$ pts$)$ Draw influence lines for the shear and moment $6$ feet from the roller support at $B.$

b$.(5$ pts$)$ Use your influence lines to find the shear and moment $6$ feet from the roller support at $B$ for the given loading.