2.1. Axial extensional energy

Try these first

1. 1.

   What happens to a beam when an axial load is applied?

   Hint

   Think about physical behavior under stress.

2. 2.

   Define axial load in your own words.

   Hint

   Consider how the load is oriented.

3. 3.

   What is the formula to calculate axial extensional energy?

   • U = 1/2 * ∫ P * ε dx
   • U = 1/2 * P * L
   • U = σ * ε

   Hint

   Remember it's about integration and how energy accumulates.

4. 4.

   True or False: Hooke's Law applies to all types of material deformation.

   • True
   • False

   Hint

   Think about when materials get permanently deformed.

5. 5.

   A steel beam of length 4 m with a cross-sectional area of 0.01 m² is subjected to a uniform axial load of 2000 N. Calculate the stress, elongation of the beam, and the energy stored.

   Hint

   Use Young's Modulus for steel, which is about 200 GPa.

6. 6.

   Discuss the impact of increasing the length of a beam on the axial extensional energy given a constant load.

   Hint

   Consider how the load affects stretching across more material.