Question

Match LIST-I with LIST-II: \[\begin{array}{|c|l|} \hline \textbf{LIST-I (Assumption/ theorem)} & \textbf{LIST-II (Type of analysis/ strength determination)} \\ \hline \text{A. Plane section remains plane before and after bending} & \text{I. Elastic analysis and superposition} \\ \hline \text{B. Material is elastic and deformations/ deflection is small} & \text{II. Linear strain distribution} \\ \hline \text{C. Uniqueness theorem} & \text{III. Non-linear analysis and buckling load} \\ \hline \text{D. Large deformation} & \text{IV. Collapse load} \\ \hline \end{array}\] Choose the most appropriate match from the options given below:

• A. A - I, B - II, C - III, D - IV
• B. A - I, B - II, C - IV, D - III
• C. A - II, B - I, C - III, D - IV
• D. A - II, B - I, C - IV, D - III

Hint:

Remember: - Linear strain assumption → Bending theory. - Elasticity + small deflection → Superposition valid. - Uniqueness theorem → Non-linear stability. - Large deformation → Plastic collapse load.

Answer 1

The Correct Option is C

Step 1: Analyze A.
"Plane section remains plane before and after bending" is the fundamental assumption of bending theory (Bernoulli's assumption). It gives linear strain distribution. So, A → II.

Step 2: Analyze B.
"Material is elastic and deflections are small" implies elastic analysis where superposition holds good. Hence, B → I.

Step 3: Analyze C.
"Uniqueness theorem" ensures a unique solution in structural analysis, applied in non-linear stability/buckling problems. Thus, C → III.

Step 4: Analyze D.
"Large deformation" concept is used in plastic analysis to determine the collapse load. So, D → IV.

Step 5: Conclusion.
The correct matching is: \[ A - II, B - I, C - III, D - IV \]