Question

A fixed beam ABC is shown below. The portion AB has infinite rigidity while the rigidity of portion BC is EI. If there exist an internal pin at junction of bar AB & BC then the kinematic indeterminacy of the structure, considering all segments to be axially rigid is:

• A. 2
• B. 3
• C. 0
• D. 1

Answer 1

The correct option is D 1

$\because$ Segment AB is has infinite rigidity,
It will not deform

$\therefore \text{The only possible deformation is}{\theta }_{BC}$

$Hence,D_K=1$