1. Principle of Virtual Work

Try these first

1. 1.

   What does the Principle of Virtual Work state?

   Hint

   Think about the balance of forces.

2. 2.

   What is considered in a virtual displacement?

   Hint

   Reflect on how displacement relates to work.

3. 3.

   What does the Principle of Virtual Work ensure for systems in equilibrium?

   • Total work is maximum
   • Total virtual work is zero
   • Total internal work is zero

   Hint

   Consider the balance of forces.

4. 4.

   True or False: The Principle of Virtual Work can only be used for determinate structures.

   • True
   • False

   Hint

   Think about the types of structures we discussed.

5. 5.

   A beam is subjected to two different loads at opposing ends. Determine the deflection at the midpoint using the Principle of Virtual Work. Assume all materials are linearly elastic.

   Hint

   Break down the forces and apply them step-by-step.

6. 6.

   Analyze a truss structure using the Principle of Virtual Work to evaluate the impact of an external load applied at a joint and derive the reactions at the supports.

   Hint

   Outline the forces and remember to account for all angles.