The kinetic indeterminacy of the structure shown in the figure is equal to

The kinetic indeterminacy of the structure shown in the figure is equal to Correct Answer 14

The kinematic indeterminacy, D_k­ = 3j-r-m

j = no of joints = 12

r = no of support reactions

r = 3( fixed support) + 2(pin support) +  2( Guided roller) = 7

m = no of axially rigid members 

Now, it is not given in the question that whether beams and columns are axially rigid or not.

Case 1:

If we assume that beams and columns are not axially rigid, then m = 0

And we get D_k = 3 × 12 – 7 = 29 ( none of the option matches)

Case 2:

If we assume that beam and columns are axially rigid, then m = 15

And we get D_k = 3 × 12 – 7 -15 = 14

∴ D_k = 14 is right answer