Question

The displacement method is also referred to as

• A. Minimum strain energy method
• B. Slope-deflection method
• C. Method of consistent deformation
• D. Maxwell-Mohr method

Hint:

The displacement method (or stiffness method) uses displacements as primary unknowns, while the force method (or flexibility method) uses redundant forces as primary unknowns. The slope-deflection method is a classic example of a displacement method.

Answer 1

The Correct Option is B

Step 1: Understand the classification of structural analysis methods.
Structural analysis methods can be broadly classified into two main categories: force methods and displacement methods.
Step 2: Define Displacement Method.
The displacement method, also known as the stiffness method, is a type of structural analysis in which displacements (rotations and translations) are treated as the primary unknowns. Once these displacements are determined, other quantities like forces and moments can be calculated.
Step 3: Identify common displacement methods.
Common displacement methods include:
Slope-deflection method
Moment distribution method (Hardy Cross method)
Stiffness matrix method
Step 4: Evaluate the given options.
Option 1: Minimum strain energy method. This is a force method, often used to determine redundant forces in indeterminate structures.
Option 2: Slope-deflection method. This is a well-known displacement method used for the analysis of indeterminate beams and frames.
Option 3: Method of consistent deformation. This is a force method (also known as the flexibility method or superposition method).
Option 4: Maxwell-Mohr method. This is a force method used for calculating deflections or displacements in structures, often associated with virtual work. The final answer is $\boxed{\text{2}}$.