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What is the primary assumption made in the Euler-Bernoulli beam theory?

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Question: What is the primary assumption made in the Euler-Bernoulli beam theory?

Options:

  1. Plane sections remain plane
  2. Material is isotropic
  3. Beam is perfectly elastic
  4. All of the above

Correct Answer: All of the above

Solution: 

The primary assumption made in the Euler-Bernoulli beam theory is that plane sections remain plane after deformation, along with the material being isotropic and elastic.

What is the primary assumption made in the Euler-Bernoulli beam theory?

Practice Questions

Q1
What is the primary assumption made in the Euler-Bernoulli beam theory?
  1. Plane sections remain plane
  2. Material is isotropic
  3. Beam is perfectly elastic
  4. All of the above

Questions & Step-by-Step Solutions

What is the primary assumption made in the Euler-Bernoulli beam theory?
  • Step 1: Understand that the Euler-Bernoulli beam theory is a way to analyze how beams bend and deform under loads.
  • Step 2: Identify the primary assumption: it states that when a beam bends, the cross-sections (the flat slices of the beam) do not change shape; they remain flat and parallel to each other.
  • Step 3: Recognize that this theory also assumes the material of the beam behaves the same in all directions (isotropic) and returns to its original shape after the load is removed (elastic).
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