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                                                                               Introduction to Mechanical Engineering Design  15
                                               Cost Estimates
                                               There are many ways of obtaining relative cost figures so that two or more designs
                                               can be roughly compared. A certain amount of judgment may be required in some
                                               instances. For example, we can compare the relative value of two automobiles by
                                               comparing the dollar cost per pound of weight. Another way to compare the cost of
                                               one design with another is simply to count the number of parts. The design having
                                               the smaller number of parts is likely to cost less. Many other cost estimators can be
                                               used, depending upon the application, such as area, volume, horsepower, torque,
                                               capacity, speed, and various performance ratios. 6

                                       1–8     Safety and Product Liability

                                               The strict liability concept of product liability generally prevails in the United States.
                                               This concept states that the manufacturer of an article is liable for any damage or harm
                                               that results because of a defect. And it doesn’t matter whether the manufacturer knew
                                               about the defect, or even could have known about it. For example, suppose an article
                                               was manufactured, say, 10 years ago. And suppose at that time the article could not have
                                               been considered defective on the basis of all technological knowledge then available.
                                               Ten years later, according to the concept of strict liability, the manufacturer is still
                                               liable. Thus, under this concept, the plaintiff needs only to prove that the article was
                                               defective and that the defect caused some damage or harm. Negligence of the manu-
                                               facturer need not be proved.
                                                  The best approaches to the prevention of product liability are good engineering in
                                               analysis and design, quality control, and comprehensive testing procedures. Advertising
                                               managers often make glowing promises in the warranties and sales literature for a prod-
                                               uct. These statements should be reviewed carefully by the engineering staff to eliminate
                                               excessive promises and to insert adequate warnings and instructions for use.

                                       1–9     Stress and Strength

                                               The survival of many products depends on how the designer adjusts the maximum
                                               stresses in a component to be less than the component’s strength at critical locations.
                                               The designer must allow the maximum stress to be less than the strength by a sufficient
                                               margin so that despite the uncertainties, failure is rare.
                                                  In focusing on the stress-strength comparison at a critical (controlling) location,
                                               we often look for “strength in the geometry and condition of use.” Strengths are the
                                               magnitudes of stresses at which something of interest occurs, such as the proportional
                                               limit, 0.2 percent-offset yielding, or fracture (see Sec. 2–1). In many cases, such events
                                               represent the stress level at which loss of function occurs.
                                                  Strength is a property of a material or of a mechanical element. The strength of an
                                               element depends on the choice, the treatment, and the processing of the material.
                                               Consider, for example, a shipment of springs. We can associate a strength with a spe-
                                               cific spring. When this spring is incorporated into a machine, external forces are applied
                                               that result in load-induced stresses in the spring, the magnitudes of which depend on its
                                               geometry and are independent of the material and its processing. If the spring is
                                               removed from the machine unharmed, the stress due to the external forces will return



                                               6 For an overview of estimating manufacturing costs, see Chap. 11, Karl T. Ulrich and Steven D. Eppinger,
                                               Product Design and Development, 3rd ed., McGraw-Hill, New York, 2004.
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