May $2013-98-$Civ$-$B$1$

QUESTION #$1$ MUST BE ANSWERED.

$(8)1.$ Indicate with arrows $(n$ a rotation; $$ a translation$)$ on each structure and list beside

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

analysis by the slope$-$defection 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.