2. Euler-Bernoulli Beam Theory

Try these first

1. 1.

   What does the acronym 'CAT' in Euler-Bernoulli Beam Theory stand for?

   Hint

   Think about the main assumptions.

2. 2.

   Define 'curvature' in the context of beam bending.

   Hint

   It relates to how sharply a beam bends.

3. 3.

   What is the governing equation of the Euler-Bernoulli beam theory?

   Hint

   Recall the relationship between moments and deflections.

4. 4.

   True or False: Axial displacement is significant in Euler-Bernoulli beam theory.

   • True
   • False

   Hint

   Think about the assumptions made in the theory.

5. 5.

   A beam supports a load at its free end with a known bending stiffness. Calculate the maximum deflection and the location along the length where this occurs. Include all boundary conditions.

   Hint

   Pay attention to the end conditions when deriving your equations.

6. 6.

   Design a beam that can support a certain load with minimal deflection. Discuss materials and configurations of support using Euler-Bernoulli theory.

   Hint

   Review the properties of materials and how they affect beam performance.