Question

Match the following: 

List-I		List-II
(A)	Slope Deflection Method	(I)	Force Method
(B)	Moment Distribution Method	(II)	Displacement Method
(C)	Method of Three Moments
(D)	Castigliano's Second Theorem

The correct answer is:

• A. \(A-I,\;B-II,\;C-I,\;D-II\)
• B. \(A-I,\;B-I,\;C-II,\;D-II\)
• C. \(A-II,\;B-II,\;C-I,\;D-I\)
• D. \(A-II,\;B-I,\;C-II,\;D-I\)

Hint:

Remember the classification: \[ \begin{aligned} &\textbf{Displacement Methods:} &&\text{Slope Deflection, Moment Distribution, Stiffness Method}[2mm] &\textbf{Force Methods:} &&\text{Three-Moment Method, Castigliano's Theorem, Consistent Deformation Method} \end{aligned} \] This classification is frequently asked in Structural Analysis examinations.

Answer 1

The Correct Option is C

Concept: Structural analysis methods are broadly classified into:
• Force (Flexibility) Method: Unknown redundant forces are taken as the primary unknowns.
• Displacement (Stiffness) Method: Unknown joint displacements or rotations are taken as the primary unknowns.

Step 1: Classify each method.
• Slope Deflection Method $\rightarrow$ Displacement Method
• Moment Distribution Method $\rightarrow$ Displacement Method
• Method of Three Moments $\rightarrow$ Force Method
• Castigliano's Second Theorem $\rightarrow$ Force Method Thus, \[ A\rightarrow II,\qquad B\rightarrow II,\qquad C\rightarrow I,\qquad D\rightarrow I. \]

Step 2: Match with the given options. The correct matching is \[ A-II,\; B-II,\; C-I,\; D-I. \] Hence, \[ \boxed{(C)\;A-II,\;B-II,\;C-I,\;D-I.} \]