Mod3 : Materials Flashcards
 What is extension proportional to
The load of force
Gives the equation for Hooks law
F= kx
Where is the spring constant and X is the extension
What do tensile forces do?
They stretch the object
What is the extension or compression proportional to?
The force applied
Explain the graph of a an elastic band being stretched
First plot a graph of force against extension four the first part of the graph. The elastic band will obey hook law and force will be proportional to extension. However, as it reaches a point graph starts to curve this is the point of limit of proportionality after the limit of proportionality there will be another point where the graph starts to level out and this is the elastic limit. This means the elastic band is permanently stretched and will no longer go back to its original shape.
How do you combine springs in series? What is the equation for it?
1/k = 1/k1 + 1/k2 etc
K= spring constant
How do you play spring in parallel what is the equation?
K = k1 + k2
Explain what happens within a material when it is under elastic deformation
When the material is put under tension , the atoms of the material are pulled apart from one another
Atoms can move slightly relative to their equilibrium positions, without changing their position in the material
And once the load is removed, the atoms can then return to the equilibrium distance. Apart from each other this means the material is not permanently deformed.
Explain what happens within materials when it is plastically deformed
Some atoms in the material move position relative to one another, and when the load is removed, the atoms cannot return back to their original position. This means the material is permanently deformed and cannot go back to its original shape.
Describe an experiment to investigate the extension of a spring
Set up a clamp stand with a meter ruler placed perpendicular to the floor
Then place a a spring to the clamp
Firstly, measured the unstretched length of the spring, and then add weights one at a time to the bottom of the spring, now record the new length of the spring and calculate the extension by doing extension equals new length minus original length .
Plot a force against extension ,where the line of best fit is straight, spring Constance will be the gradient of the graph and when the limit for proportionality has exceeded the graph will start to curve if you have added that much weight
If forces stretch a material, what are the forces called?
Tensile
If forces squash the material, what are the forces called?
Compressive
What is tensile stress defined as and what are the units
The force applied divided by the cross-sectional area
The units are pascals Pa or Nm^-2
What is tensile strain defined as and what is the equation, and what is the
Tinsel strain is defined as the change in length, for example, the extension divided by the original length of the material
The equation is 10 strain equals extension divided by original length.
There are no units for potential strain, and it is only a number
Describe a stress against strain graph and what is happening to the material
Put stress on the y axis and strain on the X axis
The effect of stress on a material starts to pull the atoms in the material. Apart from one another event. Eventually, the stress becomes so great that the atoms separate completely and the material breaks. Initially on a stress strain graph, the material will be following hook law. However, the graph starts to curve until the ultimate tensile strength point which is the maximum stress the material can withstand before breaking the graph then comes to a stop and that point is the breaking stress this is where the material has broken.
What is the area under a force extension graph?
The elastic potential energy
How do you derive elastic potential energy?
The work done on a wire or a material in stretching it is equal to the energy stored therefore work equals force times displacement. However, the force on the material is not constant and it varies from 0 to the force f.Therefore we have to take an average to 0 and the maximum force, this then makes the equation work done equals a half Times force times displacement.
This is the elastic potential energy
However, as hook law is being obeyed by the material, we can say that force equals spring constant times extension which is hook law. You can then stop this into the elastic potential energy which gives us the equation of elastic potential energy. .
Explain a stress strain graph for a typical ductile material, such as a copper wire
Initially up until the point, the material will obey owns law and it will be a straight line through the origin. However, as it reaches the point the limit of proportionality, the graph is no longer a straight line but starts to bend at this point the material stopped being hooked along, but it can still return to its original shape if the stress was removed.
As more stress is applied is reached which is the elastic limit. At this point the material starts to behave plastically and cannot go back to its original shape if the stress were removed.
And then reaches the yield point when the material suddenly starts to stretch without any extra load .
What is the yield point?
The yield point is the stress, at which a large amount of plastic deformation takes place with a constant or reduced load.
Describe stress , strain graph for brittle materials
The graph is a straight line through the origin obeying hook law, however, at a certain point the material snaps and the graph stops abruptly this is because the material does not deform plastically. Therefore, the graph does not curve
What happens when stress is applied to brittle material
Tiny cracks at the material surface get bigger and bigger as more stress is applied until the material breaks completely. This is called brittle fracture.
Describe the graph for a stress strain graph for polythene
Initially, the material behaves according to hook law, however, at a certain point, the material will behave plastically, therfore The material will stretch into a new shape. Polythene is a ductile material. Initially the graph is a straight line and then there is a small curve going into a loading phase which is a straight horizontal line and then unloading phase which is the same gradient as the initial part of the graph law line.