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430                     Chapter 9  Fatigue of Materials: Introduction and Stress-Based Approach





























            Figure 9.7 Sample record of stresses at the steering knuckle arm of a motor vehicle,
            including the original stress–time history (a), and the separation of this into the vibratory load
            due to roadway roughness (b) and the working load due to maneuvering the vehicle (c).
            (From [Buxbaum 73]; used with permission; first published by AGARD/NATO.)

               S-N curves from constant amplitude testing can be used to estimate fatigue lives for irregular
            load-time histories. The methodology will be introduced near the end of this chapter.

            9.4 FATIGUE TESTING

            Materials testing to obtain S-N curves is a widespread practice. Several ASTM Standards address
            stress-based fatigue testing for metals, especially Standard No. E466. The resulting data and curves
            are widely available in the published literature, including various handbooks, as listed in a special
            section of the References. An understanding of the basis of these tests is useful in effectively
            employing their results for engineering purposes.

            9.4.1 Test Apparatus

            One of the machines employed by W¨ ohler tested a pair of rotating test specimens subjected to
            cantilever bending, as shown in Fig. 9.11. Springs supplied a constant force through a bearing,
            permitting rotation of the specimen, so that the bending moment varied linearly with distance from
            the spring. In such a rotating bending test, any point on the specimen is subjected to a sinusoidally
            varying stress as it rotates from the tension (top) side of the beam to the compression (bottom) side,
                                                         ◦
            completing one cycle each time the specimen rotates 360 .
               Equipment for rotating bending tests operating on similar principles is still in use today. A
            variation involving four-point bending has probably been more widely used than any other type of
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