What is the primary assumption made in the Euler-Bernoulli beam theory?
Practice Questions
1 question
Q1
What is the primary assumption made in the Euler-Bernoulli beam theory?
Plane sections remain plane
Material is isotropic
Beam is perfectly elastic
All of the above
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.
Questions & Step-by-step Solutions
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Q
Q: What is the primary assumption made in the Euler-Bernoulli beam theory?
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.
Steps: 3
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).
