Practice When To Use Ebt/tbt? (1.4) - Timoshenko Beam Theory

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6 sample questions

Question 1.
Define Euler-Bernoulli Beam Theory.
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Think about what happens to the sections of the beam during bending.
Question 2.
What does Timoshenko Beam Theory account for?
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What additional effects does TBT include?
3Question 3.
When is EBT appropriate to use?
- When aspect ratio is low
- When shear effects are minimal
- For all beam types
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Think about the types of beams we discussed.
4Question 4.
The relative error must be small for EBT to be applicable. True or False?
- True
- False
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Consider the comparison of predictions.
Question 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?
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Relative error = |TBT - EBT|/TBT * 100%
Question 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.
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Consider how Poisson's ratio impacts the choice between theories.

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