Question

The kinematic indeterminacy of the plane frame shown in figure is ___________. (disregarding the axial deformation of the members)

• A. 5
• B. 6
• C. 7
• D. 4

Answer 1

The correct option is B 6


The joint hinge will add (m' -1) additional DOF
= (2 - 1) = 1 additional DOF

$D_k=3j-r+\text{additional DOF}-m$
$j\to \text{no. of joints}=4$
$r\to \text{no. of reactions}=4$
$m\to \text{no. of inextensible member}=3$

$\therefore D_k=3\times 4-4+1-3=6$