Materials Flashcards

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1
Q

What is hooke’s law and the equation

A

That extension (x) is directly proportional to force

F=kx K=force constant (Nm⁻¹) X=extension

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2
Q

What are tensile forces

A

They are extensional forces

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3
Q

What are compressive forces

A

Compressional

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4
Q

What is elastically behaving

A

Up to a certain extension if the same force is removed the spring will return to its original length.

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5
Q

What is Elastic limit

A

If this critical extension is exceeded the spring will be permanently stretched

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6
Q

What is plastic behaviour

A

When hooke’s law is no longer behaved by the spring

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7
Q

What is elastic stain energy

A

Is the potential energy stored when a spring or wire is stretched

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8
Q

How to find Elastic stain

A

Area under the curve in a force against extension graph

E=0.5Fx
E=0.5kx²

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9
Q

How to investigate force extension

A

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.

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10
Q

Equation for tensile stress

A

σ=F/a (Nm⁻²)

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11
Q

Equation for tensile strain

A

ε=x/l (no units)

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12
Q

Equation for Young’s modulus

A

Young modulus = tensile stress/ tensile strain
= σ÷ε

Is a measure of elasticity

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13
Q

How to find Young’s modulus

A
  • 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
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14
Q

Labels in stress strain curves

A

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.

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15
Q

Stress strain curves for brittle material

A

The graph is a straight line, however when stress reaches a certain point it snaps

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16
Q

Stress strain for ductile

A

Typical stress stain curve.

They keep there strength when they deform.

17
Q

Stress stain curves for polymeric materials

A

Leaf like shape.
The area between loading and unloading is the amount of energy converted to heat.
Loading is different to unloading because some energy is converted into heat.
Rubber returns to it original length, it behaves elastically.