9.3. Virtual Work

Try these first

1. 1.

   What is the main advantage of the Virtual Work method over the Real Work method?

   Hint

   Think about limitations of the Real Work method.

2. 2.

   Define a virtual force in structural analysis.

   Hint

   Consider what is meant by 'hypothetical' in this context.

3. 3.

   What does the Virtual Work method allow engineers to analyze?

   • Only real loads
   • Only hypothetical loads
   • Both real and hypothetical loads

   Hint

   Think about the flexibility offered by the method.

4. 4.

   True or False: The Real Work method is more versatile than the Virtual Work method.

   • True
   • False

   Hint

   Reflect on the limitations of the Real Work method.

5. 5.

   A bridge consists of a single span subjected to a real load of 10 kN at midspan. Use the Virtual Work method to determine the deflection at the central support if a virtual point load of 1 kN is applied also at the midspan.

   Hint

   Free body diagram and equilibrium equations will aid in simplifying calculations.

6. 6.

   Design a truss member with real loads of 15 kN and 5 kN applied at two different points. Use the Virtual Work method considering a unit virtual load to analyze and determine the resultant deformation.

   Hint

   Begin by outlining the connections and points of load application to track how the structure reacts.