1.4. When to use EBT/TBT?

Try these first

1. 1.

   Define Euler-Bernoulli Beam Theory.

   Hint

   Think about what happens to the sections of the beam during bending.

2. 2.

   What does Timoshenko Beam Theory account for?

   Hint

   What additional effects does TBT include?

3. 3.

   When is EBT appropriate to use?

   • When aspect ratio is low
   • When shear effects are minimal
   • For all beam types

   Hint

   Think about the types of beams we discussed.

4. 4.

   The relative error must be small for EBT to be applicable. True or False?

   • True
   • False

   Hint

   Consider the comparison of predictions.

5. 5.

   A beam has a length of 12 m and height of 0.3 m. If using EBT gives a bending stress of 150 MPa and TBT gives 155 MPa, can EBT be used?

   Hint

   Relative error = |TBT - EBT|/TBT * 100%

6. 6.

   For a beam with Poisson's ratio of 0.4, what is the minimum length-to-height ratio for EBT? Assume applicable threshold is 3.4.

   Hint

   Consider how Poisson's ratio impacts the choice between theories.