Discussion
Degree of static indeterminacy of a rigid joined 2D plane frame having 12 members, 3 reaction components and 11 joints is:
Answer: A
The degree of static indeterminacy is 6.
For a rigid-jointed plane frame, each member has three internal unknowns, and each joint gives three equilibrium equations.
\[ \begin{aligned} D_s &= 3m + r - 3j \\ &= 3(12) + 3 - 3(11) = 36 + 3 - 33 = 6 \end{aligned} \]
3 is the number of reactions, 2 and 8 come from using the truss formula \(m + r - 2j\) or slips in it. The rigid-frame formula is the one that applies here.
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