deformation of solids Flashcards
Hooke’s law
F = kx
F = spring force K = spring constant x = spring stretch or compression
limit of proportionality
Up to the limit of proportionality the extension is proportional to the load - hookes law is obeyed
Elastic limit
if the spring is extended beyond the elastic limit, it becomes permanently deformed. It will not return to its original size and shape when the load is removed
Ep =
Elastic potential energy =
Ep = 1/2 FX Ep = 1/2 kX²
K = spring constant X = extension F = force
Work done =
work done = F x d
what is work done by force given by
Work done by force given by area under line
How to find initial velocity
assume all elastic potential energy = initial kinetic energy
Ep = Ek
kinetic energy =
Ek = 1/2 mv²
Tenisle strain =
ε = extension/ original length
tensile stress equation
σ = force/area
σ = N/m²
When is it a tensile force and when is it a compressive force
when it is compressed its a compressive force
When it is stretched its a tensile force
Work done =
area under force extension graph
Force on the y axis
Extension on the x axis
Ep =
Ep = 1/2 Fx = 1/2 kx²
Young modulus symbol and definition
E
Stress over strain
stress = force/area Strain = e/L
young modulus measured in Pascals (Paa)
Deformation
change in shape (de-form = change shape)