materials Flashcards
what is density
measure of compactness of a substance
mass per unit volume
state what is meant by centre of mass [1]
the point through which (the line of action of) a force has no turning effect
State two necessary conditions for the beam to be in equilibrium [2]
resultant force = 0
sum of anticlockwise moments = sum of clockwise moments
State the law of conservation of energy [2]
energy cannot be created or destroyed
it can only be transferred from one form to another
density {}
ρ = m/v
Hooke’s law {}
F = K * change in L
what is hooke’s law
extension is directly proportional to force applied given that environmental conditions are kept constant
what is k
spring constant (Nm-1)
the stiffness of an object being stretched
tensile force
stretching
compressive force
squashing
what does a typical force-extension graph look like for a typical metal wire
straight line through origin
limit of proportionality
curves off
limit of proportionality
the point beyond which hooke’s law is no longer obeyed
the force is no longer proportional to the extension
elastic limit
the point beyond which the material suffers plastic deformation
In a force - extension graph what is the gradient
what is the area under the graph
k
since F = ke
spring constant (Nm-1)
work done to deform the material
how to investigate extension
set up clamp with spring
take original length
place load on spring and take final length
subtract to find extension
take repeats
plot a graph
what does it mean to say a deformation is elastic.
what does the graph look like?
the material returns to its original shape once the forces have been removed
aquafresh looking graph. returns to original length after extension
what does it mean to say a deformation is plastic
the material is permanently stretched after the load has been removed
materials stretched past their elastic limit show plastic deformation
what is meant by tensile stress
force applied per unit cross-sectional area resulting in stretch of the material
what is meant by tensile strain
a measure of how the material stretches
tensile stress {}
what are the units of tensile stress
force / cross-sectional area
Nm^-2 or Pa
tensile strain {}
what are the units of tensile strain
ΔL/L
extension / original length
no units - it’s a ratio
how would use a force extension graph to find the elastic strain energy stored by a stretched material
area under the graph
up to extension required
how is energy conserved as a stretched wire undergoes plastic deformation
some of the kinetic energy transferred to elastic potential energy
some of it is used to separate atoms and is dissipated as heat (thermal energy)
describe the energy changes as a spring is stretched and released
kinetic energy is transferred to elastic potential as the spring is stretched
elastic strain energy is stored in the spring until the spring is released when it its transferred back to kinetic energy