chapter 4 Flashcards
state Hooke’s law.
the extension of a stretched wire, e, is proportional to the load or force, F : F = ke k is the stiffness of the constant
how does Hooke’s law apply to springs?
because the extension or compression of a spring is proportional to the force applied. For a spring , k has the same value whether the forces are tensile or compressive
define tensile forces and compressive forces
tensile F: stretch the spring
compressive F: squash the spring
what is meant by the elastic limit?
the load gets great enough and past the elastic limit the material will be permanently stretched. When all the force is removed, the material will be longer than at the start
what is elastic deformation?
where the material returns to its original shape once the forces are removed
1) when the material is put under tension, the atoms of the material are pulled apart from one another
2) atoms can move small distances relative to their equilibrium positions, without actually changing positions in the material
3) once the load is removed , the atoms return to their equilibrium distance apart
for a metal elastic deformation happens as long as Hooke’s law is obeyed
what is plastic deformation?
the material is permanently stretched
1) some atoms in the material move position relative to one another
2) when the load is removed the atoms don’t return to their original positions
a metal stretched past its elastic limit shows plastic deformation
if the forces stretch a material then they are?
tensile
if the forces squash the material then they are?
compressive
define tensile stress
the force per unit area acting perpendicular to the area stress= F/A
what are the units of tensile stress?
Nm ^-2 or Pa
define tensile strain
the change in length (extension) divided by the original length of the material
strain = e/ l
why does strain have no units?
because it is a ratio so it is just the number of something
what is the breaking stress?
a stress big enough to break the material
how does a material break?
the effect of stress is to start to pull the atoms apart from one another
eventually the stress becomes so great that atoms separate completely, and the material breaks
what is fracture stress?
the stress at the point on the graph where it ends
what is the UTS?
ultimate tensile stress- the maximum stress that a material can withstand
what does a material experience if you apply a load?
tensile stress and tensile strain
when are stress and strain proportional to eachother?
at the limit of proportionality
below the limit of proportionality stress/ strain is a constant, what is it called?
the Young modulus, E, how much a material deflects under a given load
what are the units for the Young modulus?
Nm^-2 or pascals
young modulus=
tensile stress/ tensile strain = (F/A) / (e/l)= Fl/ eA
experiment to find the young modulus of a wire:
1) long thin wire- longer and thinner means it extends more for the same force
2) start with the smallest weight necessary to straighten the wire
3) measure the distance between the fixed end of the wire and the marker- unstretched length
4) if you increase the weight, the wire stretches and the marker moves
5) increase the weight by steps, recording the marker reading each time- the extension is the difference between this reading and the unstretched length
6) once you’ve taken all your readings, use a micrometer to measure the diameter of the wire in several places. take an average of your measurements and use that to work out the average cross-sectional area of the wire
behaviour of a brittle material:
doesn’t undergo plastic deformation and breaks soon after its elastic limit
. they can also be quite weak if they have cracks in them
behaviour of a ductile material:
change the shape by drawing it into wires or other shapes. They keep their strength when they’re deformed
example of a ductile material:
copper- high electrical conductivity so ideal for electric wires
behaviour of a malleable material:
shape can be changed but may lose their stength: hammered or rolled into shape
example: gold, brass
behaviour of a hard material:
resistive to dents and scratches, unit is pascals example: diamond
behaviour of a stiff material:
resistance to deformation. high resistance to bending and stretching. measured by the young modulus- the higher the value the stiffer the material
Changes it’s shape only slightly under elastic loads
behaviour of tough materials:
unit= J m^-2 undergo considerable plastic deformation before they break, it is a measure of the energy a material can absorb before breaking
how is toughness defined?
either a) the energy required to create new surface area: J/m^2
b) the energy absorbed per unit volume : J/m^3
define strong
a large stress is needed to cause failure
define strength
the maximum stress a material can withstand before failure