Elasticity Flashcards
What is the elastic limit?
The elastic limit is the maximum amount of stress that a material can withstand without permanently deforming.
What is the yield point?
The yield point is the stress level at which a material begins to deform plastically, and will not return to its original shape when the stress is removed.
What is the breaking point?
The breaking point is the stress level at which a material will fracture or break.
What is Hooke’s Law?
Hooke’s Law states that the force required to extend or compress a spring is directly proportional to the extension or compression, up to the elastic limit. Mathematically,
𝐹 = 𝑘 × 𝑥
where 𝐹 is the force,
𝑘 is the spring constant,
and 𝑥 is the extension.
What is Young’s Modulus?
Young’s Modulus is a measure of the stiffness of a material, defined as the ratio of stress to strain within the elastic limit. Mathematically,
𝐸 = stress / strain
What is the formula for work done in a spring?
The work done 𝑊 in stretching or compressing a spring is given by 𝑊 = 1 / 2 𝑘𝑥^2,
where 𝑘 is the spring constant and 𝑥 is the extension or compression.
How do you interpret Hooke’s Law and Young’s Modulus?
Hooke’s Law helps to understand the linear relationship between force and extension, while Young’s Modulus provides a measure of material stiffness, both of which can be derived from stress-strain curves.
