Practice When to use EBT/TBT? - 1.4 | 28. Timoshenko Beam Theory | Solid Mechanics
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When to use EBT/TBT?

1.4 - When to use EBT/TBT?

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Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

Define Euler-Bernoulli Beam Theory.

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

Question 2 Easy

What does Timoshenko Beam Theory account for?

💡 Hint: What additional effects does TBT include?

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

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.

Question 2

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

True
False

💡 Hint: Consider the comparison of predictions.

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Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

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%

Challenge 2 Hard

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.

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