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Section 3.8  Materials Selection for Engineering Components                105

                  2500

                                   (a)                   100           (b)
                  2000                                                               Composites
                Tensile Strength, MPa  1500  Steels  Al alloys  Composites  Strength/Weight, km  75





                                                          50
                  1000

                   500         Ti alloys  Mg alloys       25                   Mg
                                                                Steels  Ti  Al


                     0                                     0

            Figure 3.28 Comparison of strength for various classes of structural metals and polymer
            matrix composites, showing ranges for (a) tensile strength, and (b) tensile strength per
            unit weight. (Data from [Farag 89] pp. 174–176.)


            laminate (ARALL) has layers of an aluminum alloy and a composite with unidirectional Kevlar
            fibers in an epoxy matrix. See Fig. 3.26(b).
               Where stiffness in bending is needed along with light weight, layers of a strong and stiff material
            may be placed on either side of a lightweight core. Such sandwich materials include aluminum
            or fibrous composite sheets bonded on each side of a core that is made of a stiff foam. Another
            possibility is a core made of a honeycomb of aluminum or other material.


            3.8 MATERIALS SELECTION FOR ENGINEERING COMPONENTS

            An engineering component, such as a beam, shaft, tension member, column, or machine part, must
            not deform excessively or fail by fracture or collapse. At the same time, the cost and often the weight
            must not be excessive. The most basic consideration in avoiding excessive deformation is to limit
            the deflection due to elastic strain. For a given component geometry and applied load, the resistance
            to elastic deflection—that is, the stiffness—is determined by the elastic modulus E of the material.
            As to strength, the most basic requirement is to avoid having the stress exceed the failure strength
            of the material, such as the yield strength σ o from a tension test.
               Consider the general situation in which an engineering component must meet one or more
            requirements related to its performance, such as a maximum permissible deflection and/or a
            given safety factor against yielding in the material. Further, assume that any of several candidate
            materials may be chosen. It is often possible in such situations to perform a systematic analysis
            that will provide a ranking of materials for each performance requirement, thus providing an
            organized framework for making the final choice. Such methodology will be introduced in
            this section.
               Before we proceed, note that materials properties such as the elastic modulus and yield strength
            will be considered in detail in the next chapter from the viewpoint of obtaining their values from
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