Main Ideas Behind Euler-Bernoulli Beam Theory:
Material Behavior: The material of the beam stretches and shrinks evenly. It follows something called Hooke's Law. This means that when you apply a force, the change in shape is directly related to how hard you push or pull.
Small Changes: When the beam bends or twists, the changes are tiny compared to its size. This keeps the shape of the beam pretty much the same.
Flat Cross-Sections Stay Flat: The flat parts of the beam, called cross-sections, stay flat even after the beam bends. They don’t get twisted or bent out of shape.
No Shear Changes: Shear changes (which can happen when materials slide past each other) are very small and don’t affect our calculations much.
These main ideas help us understand how beams work when they are pushed or pulled in different ways!
Main Ideas Behind Euler-Bernoulli Beam Theory:
Material Behavior: The material of the beam stretches and shrinks evenly. It follows something called Hooke's Law. This means that when you apply a force, the change in shape is directly related to how hard you push or pull.
Small Changes: When the beam bends or twists, the changes are tiny compared to its size. This keeps the shape of the beam pretty much the same.
Flat Cross-Sections Stay Flat: The flat parts of the beam, called cross-sections, stay flat even after the beam bends. They don’t get twisted or bent out of shape.
No Shear Changes: Shear changes (which can happen when materials slide past each other) are very small and don’t affect our calculations much.
These main ideas help us understand how beams work when they are pushed or pulled in different ways!