Introduction
In this section we look to expand further on the process of selecting a suitable material for any given task.
Over the course of this section, you will develop understanding and knowledge of how engineers and designers select appropriate materials for components/applications including:
- Important design questions
- Design specification
- Choosing the right materials
- Case study of a 13A plug
Whilst we will provide you with all you need for the case study, it and many others are also available from
http://www-materials.eng.cam.ac.uk/mpsite/default.html
In addition, Material Selection in Mechanical Design (ISBN 978-0081005996) by Michael Ashby can also be an invaluable resource.
Again, thanks goes to Dr Gareth Bradley who’s help has been invaluable in the production not just of this section but of the entire unit.
Important Design Questions
Consider a standard 13 amp plug, such as the one shown in the diagram.
This is a bog standard electric plug, such as we have all seen and all have several of in our houses. But have you ever thought about the materials that it is made out of? What are they, and why were they chosen?
Think about those materials now – concentrate on the plug body, pins and cable clamp, ignore the fuse and flex/wires.
Try and determine the materials used for the various parts and why they have been used. Which, if any, competitor materials should be considered?
After you have come up with some answers to these questions, try and do it again, but this time we will approach it in a more systematic manner.
Figure 1. A standard UK 13A plug. (1 - Cable grip 2 - Neutral terminal 3 - Earth terminal 4 - Live terminal 5 - Fuse)
Reconsider the electric plug, and again concentrate on the plug body, pins and cable clamp. Before considering what the materials are, and why they have been chosen, consider the following questions:
- What are the function and requirements of each component (electrical, mechanical, aesthetic, ergonomic, etc.)?
- What is the function of the plug and how does it work?
- What is each part made of and why?
- What manufacturing methods were used to make each part and why?
- Are there alternative materials or designs in use, or can you propose improvements?
It may seem that the answers to most of these are quite obvious, and yet if we look globally the design of plugs is far from universal, suggesting that in fact there are many different potential answers to these questions.
That being said, for our purposes we can consider the following to be correct.
The plug should:
- Enable the user to provide an electrical path from the socket to the appliance
- Prevent an electrical path being formed between the user and the mains!
- Provide a rigid set of pins for location in the socket
- Be sufficiently tough to prevent failure upon dropping
- Be resistant to the use environment (e.g. temperature, moisture, etc.)
- Prevent or enable the user to fit the cable to the plug
- Be aesthetically pleasing and easy to grip
- Satisfy the requirements of the British Standards
As you can imagine, each of these specifications place constraints on which materials can be used.
Choosing the Right Materials
The safe and efficient functioning of a plug and cable depends on the ability of the various parts to conduct electricity. Clearly our first step in choosing materials must be to consider the need for electrical conductivity in each part. The parts of the plug can be divided into those which should be good conductors, those which should be good insulators and those for which conductivity is not a major factor as outlined below.
Conductors | Insulators | Not A Factor |
Pin (brass) | Plug body & base (UF/ABS) | Cord grip screws (steel) |
Fuse element (copper) | Cord grip (nylon) | Major plug screws (steel) |
Fuse clip (copper) | Cable sheath (PVC) | Pin screws (steel/brass) |
Cable wires (copper) | Wire sheath (PVC) | |
Fuse ends (copper) | Pin sheath (PVC) | |
Fuse body (Alumina) |
If we were to base our choice entirely on this, the selection of materials available would be vast. However, there is one factor which in many cases is actually the most important – cost. Whilst we cannot choose a cheap material that will not meet a minimum standard, it is normal practice to choose a material that may not be the absolute best, but achieves a reasonable standard of performance at an acceptable price – component designers do not become rich by choosing unnecessarily expensive materials!
Hence, as well as considering the electrical conductivity when choosing materials, we also need to consider the cost. What is the easiest way of considering cost at the same time as making sure we have suitable conductivity?
One way of selecting the best materials would be to look up values for the conductivity (or values for the resistivity – it’s opposite) in tables for various possible materials: good conductors would have low values of resistivity whereas good insulators would have high values. From a list of suitable materials, we could then choose those which are fairly cheap.
However, this method is time consuming, and the designer may miss materials which they simply forgot to consider. A much easier method is to plot materials on a chart of electrical resistivity against cost.
This kind of graph – such as the one shown in the image - is called a materials selection chart. Note how materials of each class (e.g. metals) form clusters marked here by the shaded regions. The chart makes it easy to identify cheap conductors (bottom left) and cheap insulators (top left).
Figure 3 selection chart of various materials. Public domain
We can now see why, most of the non-conducting parts in the plug are made from polymers - they have high resistivity. All the plug components requiring good conductivity are metallic - there is no other choice!
Plug Body
If we look at the resistivity-cost chart wood seems to be a cheaper choice for the plug body than polymers. So why isn't wood used in practice? It is cheaper, and its insulation properties should be more than adequate to protect the user.
The answer is to do with production of the end product. The plug body is a complex 3D shape. It is no good having the perfect material if we can't actually form it to the desired shape, so we need to examine the processing options for various materials. Making an item the shape of a plug out of wood is possible, but it would take a skilled craftsperson a considerable time, massively increasing the cost of the end product.
If we look at the table below, we notice the following:
- Polymers can be shaped by various moulding processes.
- Wood can only be machined into the shape of a plug, which would not be practical for mass production.
- The processing options are greater for thermoplastics than for thermosets.
+ : routine |
Polymer |
Wood |
||
ABS |
UF |
Pine |
||
Polymer |
Polymer extrusion |
+ |
X |
|
Compression moulding |
+ |
+ |
|
|
Injection moulding |
+ |
? |
|
|
Blow moulding |
+ |
X |
|
|
Machining |
Milling |
+ |
X |
+ |
Grinding |
X |
X |
+ |
|
Drilling |
+ |
? |
+ |
|
Cutting |
+ |
? |
+ |
|
Joining |
Fasteners |
+ |
+ |
+ |
Solder / braze |
X |
X |
X |
|
Welding |
+ |
X |
X |
|
Adhesives |
+ |
+ |
+ |
This explains why we don’t use wood, but we are then left with another question: out of all the polymers available, we are only two commonly used?
The answer now lies in the end use of the plug. To hold the pins securely and to protect the conducting parts, the plug body must be sufficiently strong and stiff. Plugs are also likely to suffer impacts, so toughness may also be a factor in material choice. A materials selection chart showing strength against toughness for various materials allows us to compare various polymers and we might be able to see why other polymers are not suitable.
Strength/Toughness
As you can see from the strength/toughness chart, the strength of polymers is relatively low compared to other materials. However, good design of the moulding shape is able to provide sufficient strength to support the pins. Correct shaping is also important for providing sufficient rigidity for the pins as the stiffness of polymers is relatively low (not shown here).
Figure 5 Strength/toughness chart for various materials. Public domain
In practice, ABS and urea formaldehyde are both used for plugs. The toughness of ABS is a lot greater than that of urea formaldehyde (remember these are logarithmic axes) - this means it can withstand a greater impact before any damage is caused.
Other materials: Nylon appears to combine the strength of urea-formaldehyde with the toughness of ABS, so why isn't it used for plug bodies? Looking back at the resistivity-cost chart, we can see that it is much more expensive than ABS or urea-formaldehyde, although this may not be the only reason.
So why are 2 different polymers used?
Although both ABS and urea-formaldehyde are used for plugs, they are in fact used for slightly different applications. In addition, ABS is used for one-piece moulded plugs which prevent access by the user whereas urea-formaldehyde is used for two piece plugs that can be fitted by users. From the selection chart and processing information we can see why:
ABS is used for one-piece plugs because thermoplastics can be easily joined after moulding. ABS is also much tougher and as a result is ideal for pre-fitted plugs which might suffer impact during service, for example those fitted to vacuum cleaners.
As a thermoset, urea-formaldehyde is stronger (and stiffer) than ABS so it is ideal for a two-piece construction where each half must be individually stronger. The lower toughness means that urea-formaldehyde plugs should only be used for fixed appliances where the plug is unlikely to suffer impact, for example those fitted to fridges or washing machines where not only is the plug unlikely to be removed very often, but it is also usually protected from accidental impact as it is located behind a large appliance.
Plug Pins
The requirements for a pin will determine the materials properties we should be interested in – obviously the first requirement is that it needs to conduct electricity well, so we will not investigate conductivity any further here. However, there are several other requirements that we need to try and meet; let's look at a few:
Overheating: the pins must not get too hot, or there will be the risk of fire. The heating comes from the current which is drawn by the appliance and the resistance of the conductor (P=I2R losses). We therefore want low electrical resistance in the pin.
Firm fit: the plug will be inserted/removed many times during its life. If the material wears too much, the plug will be loose in the socket. The wear resistance of a material depends on its strength, so we want high material strength.
Low cost: a plug has to be cheap, so we need to keep the material and processing costs down. Although the processing costs will depend to some extent on what material we choose, we want low material cost.
We have 3 different requirements to meet, which means we are almost certainly going to have to compromise in some way. We know that we're only interested in metals because the pin must be a good conductor - so let's look at the metals on the 2 selection charts we've seen so far.
Resistivity – Cost:
The materials with the lowest values of resistivity are aluminium, brass, copper and gold.
All these are commonly used as conductors in practice, although clearly gold is a bit too expensive for use in a plug!
Also, although aluminium is a good conductor, it is not suitable for a removal plug because it develops an insulating oxide layer. So, how to choose between copper and brass?
The strength-toughness chart below helps to answer this.
Strength – toughness:
We can see from the strength/toughness chart that brass has higher strength and hence better wear resistance than copper.
So, brass is used for the pins because it is the best compromise between the three competing needs for low cost, good electrical resistivity and good wear resistance.
Brass is an alloy of copper; it is common for alloys to have higher strength than the pure metal.
The higher strengths in the copper bubble only come from 'cold working' which would be expensive, so brass is even more attractive than it first appears.
Figure 6 Strength/toughness chart for various materials. Public domain
We have now established that the pins will be made from brass, but how will they be made? The selection of a suitable process involves several stages; here we will follow the approach taken elsewhere in the unit, so let's start with material compatibility.
Selection Stages
The first step is to consider which processes are suitable for use with brass. Clearly the metal shaping processes are of most interest and the main ones are in the table. It would also be possible to use machining to make the pins, but even at this stage we can reject this as being too expensive as there are plenty of other options. One of the advantages of metals is that they can be processed in many ways. Unfortunately, this does not help us much in choosing a suitable process! The next stage is to think about size and shape.
+ : routine |
Brass |
|
Metal Shaping |
Sand casting |
+ |
Die casting |
+ |
|
Lost wax casting |
+ |
|
Powder metal forming |
+ |
|
Forging |
+ |
|
Sheet forming |
+ |
|
Rolling |
+ |
|
Metal extrusion |
+ |
|
Machining |
Milling |
+ |
Grinding |
+ |
|
Drilling |
+ |
|
Cutting |
+ |
|
Joining |
Fasteners |
+ |
Solder / braze |
+ |
|
Welding |
+ |
|
Adhesives |
+ |
The shape of a component is often key to selecting a suitable process. With metal parts, it is useful to think of the basic shape, as further steps such as drilling can be used later to produce specific "features" such as holes. The basic shape may be:
- Folded or drawn sheet, such as a can or microwave casing.
- 2D - components with the same cross-section all the way through - which may be short things like plug pins, or long things like window frames.
- 3D - with a complex geometry such as an engine block.
In addition, factors such as symmetry and concave curves will affect which processes can be used successfully. We have a small component which is essentially '2D'. So, by referring to further process information we can see that rolling and sheet forming are not suitable. This sort of information will also help us to decide whether, as well as being able to be make the component, we can make it to a high enough standard.
The next stage is to think about dimensional tolerances, surface finish, quality etc. These requirements for the plug pin are not very demanding - so we can do little to reduce our list of processes further.
This is about as much as we can do to reject processes for simple technical reasons, all that remains is to think about the processing cost.
We've already ruled out machining on cost grounds. Can any of the other processes be ruled out because of cost? We're going to want to make millions of pins, so we need a process with an appropriate economic batch size. Taking this into account and using the process data referred to earlier, we're left with die casting, forging and extrusion.
Normally at this stage, there is little more that can be done at a simple level to choose between these 3 processes. Here, however, we will make one choice by thinking about how processing and materials properties are linked.
the mechanical properties (e.g. strength) of a component depend on how it is made as well as what material is used. Die casting will not give as good a strength as forging or extrusion - especially because of the sharp corners - so we will reject it here leaving only extrusion and forging. Diagrams representing the extrusion and forming processes are shown.
Figure 8 Diagrams of the extrusion and forming processes. Public domain, Source, used under fair dealing.
Although both forging and extrusion are near-net-shape processes, they both require further steps to finish the pin (making holes, threads etc.). These post-processing steps will add to the cost, but will not be sufficiently large to affect our choice.
We have now narrowed down the choice of process to extrusion or forging, but at this stage the two processes seem to be functionally the same in terms of meeting out needs. How then can we choose between them? Both are used for high volume products, so we need to estimate actual costs and see how they compare.
Elsewhere in the unit, we saw that the total cost is made up of the material cost, the start-up cost and the running cost. These figures are not easy to obtain and vary significantly depending on the size and complexity of the part. Here we choose representative values from manufacturers data and assume the material cost is about 1 penny.
The table presents the relative costs of forging and extrusion based on the assumptions we have made and the data obtained.
Cost Data |
Forging |
Extrusion |
One-off cost |
£50 |
£600 |
Hourly cost |
£65/hour |
£50/hr |
Production rate |
1000 parts/hour |
500 metres/hour |
Notice that the production rate for extrusion is in metres/hour and not parts/hour. The number of pins made per hour depends on the size of each pin - let's say this is about 1cm. In 1 hour we can extrude 500 metres which will make 500 * 100 = 50,000 pins. As a result, we could also say the production rate for extrusion is about 50,000 pins/hour.
If we take this figures, we can manipulate them, to find out what the comparative cost per pin is likely to be. Let's see how these figures can be turned into a cost for each pin:
COSTS |
Batch size |
Running costs |
Startup costs |
Forging: |
100 |
£65/hour ÷ 1000 parts/hour = 6.5p per part |
£50 ÷ 100 parts = 50p per part |
100,000 |
£50 ÷ 100000 parts = 0.05p per part |
||
Extrusion: |
100 |
£50/hour ÷ 50000 parts/hour = 0.1p per part |
£600 ÷ 100 parts = £6 per part |
100,000 |
£600 ÷ 100000 parts = 0.6p per part |
We also need to consider the start up cost. The startup cost varies with batch size, so we really need to work out the cost for each possible batch size. Let's assume that the material costs are 1p and put the whole lot together to work out the total cost for a batch size of 100, the results of this are in the table:
Process |
Material cost |
Running cost |
Startup cost |
Total cost |
Forging: |
1p |
6.5p |
£50 ÷ 100 = 50p |
57.5p |
Extrusion: |
1p |
0.1p |
£600 ÷ 100 = 600p |
601.1p |
We can work out these costs for varying batch sizes, and use them to create a graph similar to that below, plotting cost per pin against batch size (please note, the scale is logarithmic)
Graph 1: graph comparing the costs of forging and extrusion per pin as batch size is varied in production of plug pins
Analysis of the graph and of the process cost shows that the best way to manufacture plug pins in large volumes (over 10,000) is to use extrusion. In practice, there are many other factors which might alter this decision, for example:
- machinery that has already been paid for
- special deals with suppliers
- finding trained operators
- environmental considerations
Summary
There is at least one more important factor which affects all manufacturers equally - standards. If you look on the back of any plug in the UK you should see BS1363 or 1363A - this means it conforms to a particular British Standard. Standards are important in protecting consumers by ensuring products meet a minimum safety level. BS1363 sets levels for plug performance including strength, toughness, and fire-resistance - all of which may a limit a designer in their choice of materials and processes.
Most product analysis tends to ignore many of these complications, but remember that real-life designers must check their decisions in much more detail than we have done here.