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THB9  9/19/03  7:26 PM  Page 269

                                 CAM MATERIALS AND LUBRICATION             269

            Solution Equation 9.13
                                              k
                                        P ¢ =
                                             1  1
                                              +
                                            r 1  r 2
            From Table 9.3 K = 5500, r 1 = 0.5in, r 2 = 2.0in
               Therefore
                                        5500
                                    P 2 ¢ =  1  1  = 22001b in
                                          +
                                        .
                                       05   2
            which gives an allowable load
                                    P ¢ = 2200  ¥ 3 4 16501b.
                                                =
               Note that after 100 million cam cycles the roller will wear out first since it has more
            cycles than the cam.


            9.4.5  Materials Selection
            A wide variety of materials are available for the cam designer; see Table 9.3. Depending
            on the application, the designer may choose from materials such as plastics; bronze; gray
            cast iron; nodular and malleable iron; Meehanite iron; a range of low-, medium-, and high-
            alloy steels; and stainless steels. In addition, there are different ways of modifying or pro-
            cessing  the  materials  to  improve  their  properties  or  to  reduce  the  cost  of  manufacture
            (Zaretsky, 1997). These include reinforcements for plastics, processing for titanium, and
            hardening for many of the iron-based materials.
               When selecting a material for an application, the cam designer will first determine the
            requirements for the cams being considered. The design requirements for a cam in a given
            application will depend on such things as accuracy, load, speed, material, and noise lim-
            itations. The more stringent these requirements are, the more costly the cam will become.
               Some of the considerations in the choice of a material include allowable hertzian stress,
            wear resistance, impact strength, water and corrosion resistance, manufacturing cost, size,
            weight, reliability, and lubrication requirements. Steel, under proper heat treatment, meets
            most of these qualifications for roller followers, while cast iron is excellent for sliding
            followers.
               Furthermore, these tests reveal that the rate of stress cycling has no significant effect
            on the surface wear of metals. This is not the case for nonmetallic materials with low heat
            conduction properties. Under these conditions, high speed was found to cause blistering
            or excessive material in test specimens.
               Also, although surface endurance usually increases with hardness in a given material,
            hardness alone is a dangerous criterion for comparing different materials. For example,
            SAE 6150 steel at 300 BHN shows a surface endurance strength only slightly greater than
            the much less expensive and easier to machine SAE 1020 at 130 BHN.
               Nevertheless,  it  is  generally  an  established  practice  to  harden  materials  to  resist
            wear. Although the surface hardness of a material is not always the sole criterion for wear
            resistance, it is not possible to abandon hardness as an important factor. We shall outline
            in the following subsections the commonly used cam materials and their surface treat-
            ments, starting with those materials with the least hardness.
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