Chapter 6 - Materials, newtons laws and momentum Flashcards
Hooke’s Law with equation.
for a material within it’s elastic limit, the force applied is directly proportional to the extension of the material.
- F = kx where k is the force constant of the material
How to determine force constant
- Plot a force extension graph
- gradient is the constant
Elastic deformation
When the force applied is removed, the material will return to it’s original shape/length, so the loading and unloading curves are the same (apart from rubber)
Plastic deformation
When the force applied is removed, the material will not return to it’s original shape/length, so the loading and unloading curves are different
Why is rubber special
- Does not experience plastic deformation but does not obey Hooke’s law, loading and unloading curves form hysteresis loop.
Why is polythene special
- Does not obey Hooke’s law and experiences plastic deformation whenever any force is applied, so blue tac.
How to calculate energy required to stretch the material out
Area between loading and unloading curves, or if loading = unloading E = 1/2kx^2
Force constant of wires in series —|—
1/k1 + 1/k2 = 1/ktotal
Force constant of springs in parallel |===|
k1 + k2 = ktotal
What happens to work done if there is plastic deformation
instead of the work done being the energy stored as elastic potential, when plastic deformation occurs, the work is done in rearranging the atoms to form the new shape.
Define tensile stress
Force applied to a material per cross sectional area, stress = F/A
Define tensile strain
Extension or compression of a material per unit length, x/L
Define youngs modulus
Ratio of stress to strain, and measures the stiffness of a material
Define ultimate tensile strength
the maximum breaking stress that can be applied to a material
Outline limit of proportionality
Up until this point Hooke’s law is obeyed