Virtual work method is particularly useful for analysing
Show Hint
Applying a virtual unit force at the point of interest allows us to calculate actual displacements in any complex, highly redundant structure.
- Determinate structures
- Indeterminate structures
- Simple beams
- Particles
The Correct Option is B
Solution and Explanation
This structural analysis question asks about the primary utility and advantage of using the virtual work method.
Step 2: Key Formula or Approach:
The virtual work method (or the unit load method) is a highly versatile tool in structural engineering.
It uses energy principles to establish compatibility equations, which are necessary to solve redundant reactions in indeterminate structures.
Step 3: Detailed Explanation:
• Statically determinate structures can be solved completely using only the equations of static equilibrium ($\sum F = 0, \sum M = 0$).
• Statically indeterminate structures have more unknown support reactions or internal forces than the available static equilibrium equations.
• To solve indeterminate structures, we must establish compatibility equations that describe the deformation of the structure.
• The virtual work method allows us to easily compute displacements and rotations at any point in a structure.
• These displacement calculations are then used in the force method (flexibility method) to formulate the compatibility equations and solve for the redundant forces.
• Therefore, while it can be used for determinate structures, its most significant and powerful application is in the analysis of indeterminate structures.
Step 4: Final Answer:
The virtual work method is particularly useful for analyzing indeterminate structures.
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