Materials Flashcards
What is hooke’s law and the equation
That extension (x) is directly proportional to force
F=kx K=force constant (Nm⁻¹) X=extension
What are tensile forces
They are extensional forces
What are compressive forces
Compressional
What is elastically behaving
Up to a certain extension if the same force is removed the spring will return to its original length.
What is Elastic limit
If this critical extension is exceeded the spring will be permanently stretched
What is plastic behaviour
When hooke’s law is no longer behaved by the spring
What is elastic stain energy
Is the potential energy stored when a spring or wire is stretched
How to find Elastic stain
Area under the curve in a force against extension graph
E=0.5Fx
E=0.5kx²
How to investigate force extension
Set up a clap stand and suspend a spring with a ruler next to it.
Add weights to the spring and calculate extension.
Plot force against extension, where the line is straight hooks law is being obeyed.
Equation for tensile stress
σ=F/a (Nm⁻²)
Equation for tensile strain
ε=x/l (no units)
Equation for Young’s modulus
Young modulus = tensile stress/ tensile strain
= σ÷ε
Is a measure of elasticity
How to find Young’s modulus
- Find the cross section of the wire using a micrometer.
- Clamp a wire to a bench so you can hang wires off one end.
- Start with a small weight to keep the wire taught.
- Measure the distance between the fixed end and the marked wire, this is your unstretched length.
- As you increase weight the further it will stretch.
- Then plot a stress against strain graph and the gradient will be Young’s modulus
Labels in stress strain curves
P=limit of proportionality = stress is proportional to strain
E= elastic limit
Y1= yield point where the wires weaken temporarily
Y2= a small increase in stress causes a large increase in strain as wire undergoes plastic flow
UTS= ultimate tensile stress = the wire looses its strength, extends and becomes narrower.
Stress strain curves for brittle material
The graph is a straight line, however when stress reaches a certain point it snaps