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                 422    Mechanical Engineering Design
                  Table 8–5
                                            Screw                               Nut Material
                  Coefficients of Friction f  Material          Steel        Bronze         Brass      Cast Iron
                  for Threaded Pairs       Steel, dry        0.15–0.25      0.15–0.23     0.15–0.19    0.15–0.25
                  Source: H. A. Rothbart and   Steel, machine oil  0.11–0.17  0.10–0.16   0.10–0.15    0.11–0.17
                  T. H. Brown, Jr., Mechanical
                  Design Handbook, 2nd ed.,  Bronze          0.08–0.12      0.04–0.06        —         0.06–0.09
                  McGraw-Hill, New York, 2006.


                  Table 8–6                  Combination            Running         Starting

                  Thrust-Collar Friction   Soft steel on cast iron    0.12            0.17
                  Coefficients              Hard steel on cast iron    0.09            0.15
                  Source: H. A. Rothbart and   Soft steel on bronze   0.08            0.10
                  T. H. Brown, Jr., Mechanical  Hard steel on bronze  0.06            0.08
                  Design Handbook, 2nd ed.,
                  McGraw-Hill, New York, 2006.


                                          common material pairs. Table 8–6 shows coefficients of starting and running friction
                                          for common material pairs.

                                  8–3     Threaded Fasteners

                                          As you study the sections on threaded fasteners and their use, be alert to the stochastic
                                          and deterministic viewpoints. In most cases the threat is from overproof loading of
                                          fasteners, and this is best addressed by statistical methods. The threat from fatigue is
                                          lower, and deterministic methods can be adequate.
                                              Figure 8–9 is a drawing of a standard hexagon-head bolt. Points of stress con-
                                          centration are at the fillet, at the start of the threads (runout), and at the thread-root
                                          fillet in the plane of the nut when it is present. See Table A–29 for dimensions. The
                                          diameter of the washer face is the same as the width across the flats of the hexagon.
                                          The thread length of inch-series bolts, where d is the nominal diameter, is
                                                                           1

                                                                      2d +  4  in  L ≤ 6in
                                                               L T =       1                               (8–13)
                                                                      2d +  2  in  L > 6in
                                          and for metric bolts is
                                                             ⎧
                                                             ⎪ 2d + 6           L ≤ 125    d ≤ 48
                                                             ⎨
                                                        L T =  2d + 12    125 < L ≤ 200                    (8–14)
                                                             ⎪
                                                             ⎩
                                                               2d + 25          L > 200
                                          where the dimensions are in millimeters. The ideal bolt length is one in which only
                                          one or two threads project from the nut after it is tightened. Bolt holes may have burrs
                                          or sharp edges after drilling. These could bite into the fillet and increase stress con-
                                          centration. Therefore, washers must always be used under the bolt head to prevent
                                          this. They should be of hardened steel and loaded onto the bolt so that the rounded
                                          edge of the stamped hole faces the washer face of the bolt. Sometimes it is necessary
                                          to use washers under the nut too.
                                              The purpose of a bolt is to clamp two or more parts together. The clamping load
                                          stretches or elongates the bolt; the load is obtained by twisting the nut until the bolt
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