Problem $5(15$ points total$).$

A$)$ Describe the conceptual difference in approach between flexibility$-$based methods and stiffness$-$based methods $(3$ points$).$

B$)$ To solve a $3^{rd}$ degree indeterminate structure with the method of consistent deformations, how many compatibility equations are needed and how many terms will appear in each equation? $(3$ points$).$

C$)$ The structure below is composed of three bars in parallel. The beam at the top is rigid $($no bending$).$ How much load is carried by bar $1?(3$ points$).$

$K_1=c$;$K_2=7$;$N_3=13$

D$)$ You are asked to solve two indeterminate structures at your job. Structure A is a $10$ degree indeterminate building frame composed of beams, while structure B is a $3$ degree indeterminate building frame composed of beam and truss members. Assume one of your goals is to minimize computational effort. Of the indeterminate analysis methods studied in this class, which one would you use to solve structure A and which one would you use to solve structure B$?$ Justify your answer $(3$ points$).$