$(8)1.$ a$)$ Determine the statical indeterminacy, $r,$ of the structures shown below.

b$)$ Indicate with arrows $($ a rotation; $$ a translation$)$ on each structure and list beside

each structure the number of structural degrees of freedom, $k,$ that are required to do an

analysis by the slope$-$deflection method. In each case, use the minimum number of

structural degrees of freedom; where they occur, take into account symmetry, anti$-$

symmetry and joints that are known to have zero moments.