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P. 278

Chapter 9


                                         Strength of Materials






                                                                    and you call it a rubber band. It’s a little hard to imagine
               An understanding of the strength of the materials  yourself stretching a metal but you can do it; just clamp
               used in construction of the boiler plant is essential. No  one end of a piece of lightweight wire in a vise, lead it
               element of a plant is designed to operate anywhere close  out about twenty feet and grip it with a pair of pliers. Set
               to its breaking point for reasons of safety and mainte-  a stepladder or something else next to the wire to get a
               nance of that margin of safety protects the life of the  reference point then pull on the wire and ease off. You’ll
               operator and others.                                 discover that the wire is just like a rubber band, you
                                                                    can stretch it and it will shorten when you ease off your
                                                                    pulling on it. That’s the elastic action where you apply a
               STRENGTH OF MATERIALS                                stress and the material resists it. You’ll also notice if you
                                                                    pull a little too much that the wire suddenly gives and
                    Lots of boiler operators are not like me. They’ve  will not shorten to its original length when you ease off
               never broken anything. Are you one of them? I’ve bro-  the pull; you just over-stressed it.
               ken everything from the standard lumber 2 by 4 to some     That operation is a simple form of the tensile tests
               rather expensive fiberglass piping and witnessed some  that are performed on materials to determine their
               serious destruction of everything from a bag of rags to  strength. In the case of the wire you pulled with a vari-
               pressure vessels and boilers. It’s not uncommon to break  able force that could be measured in pounds and you
               things and there’s nothing I can tell you that will ensure  applied that load to the cross-sectional area of the wire
               you never do.                                        which is the area of a circle with a diameter equal to the
                    I tend to argue that those operators that don’t  diameter of the wire. Since any wire we could stretch
               break anything manage to do so by not doing anything.  would be very thin the area is very small. The more cross
               If you are doing something it’s important to understand  sectional area of the material the more force you need to
               a little bit about the strength of materials in order to  stretch it. You can easily stretch a rubber band but a rub-
               make  sound  operating  and  maintenance  decisions.  ber hose is another story.
               That way you may break less than I did. I’ll try to do     Tensile tests on material use a sample a little larger
               that without all the technical engineering but still give  than a piece of wire to get an average value. The typical
               you an adequate understanding of what’s involved and  tensile test specimen consists of a piece of metal about
               what some of the buzzwords mean.                     six inches long with the center three inches machined
                                                                    uniformly to a thickness of about one quarter of an inch
                                                                    and a width of three quarters of an inch to produce a
               STRESS                                               cross sectional area of three sixteenths of an inch (1/4
                                                                    times 3/4 equals 3/16) so the cross sectional area is
                    Stress in materials is very much like pressure. We  0.1875 square inches. The two ends of the specimen are
               measure it in pounds per square inch and it’s basically  clamped in a machine that pulls them apart. For stan-
               force (in pounds) applied over a surface area measured  dard metal testing the sample is also marked with a cen-
               in square inches. We can determine the stress we apply  ter punch about one inch from the center on each side so
               to a material and, by testing, know how much it takes.  the machine can sense the location of the punch marks
               Since most of the materials involved in a boiler plant are  and measure very precisely the distance between them.
               metal I’m going to use it to explain the application of   The stress-strain diagram (Figure 9-1) shows a
               stress and the strength of the material.             common graph produced by the machine as the mate-
                    We’ll start with tensile stress because it’s the most  rial is tested. The stress, which is the applied force per
               common. A material is subjected to tension when you  square inch of material, is indicated on the left of the di-
               try to pull it apart. You expose a material to tensile stress  agram and the strain, which is the amount the material
               on a regular basis, the material isn’t steel, it’s rubber  is stretched is indicated on the bottom. As the machine
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