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264                                                                               Boiler Operator’s Handbook


                                                                    where the stress doesn’t go any higher. That’s where
                                                                    the coupon is deforming so much that its cross sectional
                                                                    area is reducing so, even though the stress in the coupon
                                                                    increases, the force it can withstand decreases because
                                                                    the area is decreasing. Shortly after the ultimate strength
                                                                    is reached the material ruptures. If the coupon is not too
                                                                    deformed we can measure the cross sectional area at the
                                                                    rupture to determine the actual stress when it ruptured.
                                                                    That’s how metal is tested and although you may never
                                                                    see it done this explanation should give you a better un-
                                                                    derstanding of material strength and what us engineers
                                                                    are talking about.
                                                                        Cast iron and similar materials, including concrete,
                                                                    that are not extremely strong in tension but very strong
                                                                    in compression are tested differently. The test method
                                                                    helps describe what compressive stress is all about. A
                        Figure 9-1. Stress - strain diagram         metal sample is machined to prescribed dimensions
                                                                    over its entire length to form a test coupon. All those
               pulls on the material the force or pull on the material is   short round chunks of concrete you’ve seen laying
               recorded. That value is converted to stress by dividing   around any construction site are test coupons that were
               by the cross sectional area of the specimen.         poured. The coupon is placed in a machine with a firm
                    Modern machines allow the operator to enter the   bottom plate and pressure is applied to the top of the
               area on a keyboard so the machine also calculates the   coupon. (Figure 9-2) The force applied by the machine
               stress (pounds pull divided by the area in square inches)   is divided by the cross-sectional area of the coupon
               to imprint it on the diagram. The machine measures the   to determine the stress. Some materials, like cast iron
               change in distance between the two center punch marks   and concrete, withstand considerable stress until they
               to determine the strain.                             fail and they fail quickly when their yield strength is
                    The stress strain diagram shows what is normally   reached. They produce a failure that is closer to shear
               called the proportional range where, from zero stress,
               the stress and strain are proportional. If the machine
               were stopped while the metal was in the proportional
               range and the force removed the metal would return to
               its original length. Metal in that range acts the same as
               the rubber band, always returning to its original shape.
               At the end of that straight line is the proportional limit
               where the metal’s properties change and it will not re-
               turn to its original size when the force is removed. It’s
               the same situation when we were pulling on the wire.
                    Application of a little more force creates a stress
               where the metal simply stretches out without adding
               resistance (the slope of the line is horizontal). The point
               where that starts is called the yield point. When metal
               reaches its yield point it deforms. That action is similar
               to “cold working” the metal which hardens most steels
               making them stronger. I’m sure you’ve heard that cold
               worked metal is stronger than hot worked metal. The
               sudden cold working of the metal increases its strength
               and, despite the cross sectional area being reduced a tiny
               bit, it can handle more stress.
                    The metal continues to resist force but it stretches
               dramatically until the ultimate strength is reached,   Figure 9-2. Compression stress coupon in machine
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