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                                                                       Screws, Fasteners, and the Design of Nonpermanent Joints  411
                       Figure 8–1                      Major diameter
                                                       Pitch diameter
                       Terminology of screw threads.   Minor diameter
                       Sharp vee threads shown for                   Pitch p
                       clarity; the crests and roots are
                       actually flattened or rounded
                       during the forming operation.                       45° chamfer




                                                     Root
                                                         Crest         Thread angle 2α


                       Figure 8–2                 H
                                                  8                  p
                       Basic profile for metric M                     8    Internal threads
                       and MJ threads.
                       d   major diameter
                       d r   minor diameter               p          p      3H
                                                                             8
                       d p   pitch diameter    H  5H      2          2
                                                  8
                       p   pitch                          p        H           60°
                          √ 3                                      4
                       H    2  p                          4
                                                   H                                  60°        d
                                                   4                        30°
                                                                                              d p
                                                                     p
                                                                 External threads       d r



                                               threads. The MJ profile has a rounded fillet at the root of the external thread and a
                                               larger minor diameter of both the internal and external threads. This profile is espe-
                                               cially useful where high fatigue strength is required.
                                                  Tables 8–1 and 8–2 will be useful in specifying and designing threaded parts.
                                               Note that the thread size is specified by giving the pitch  p for metric sizes and by
                                               giving the number of threads per inch  N for the Unified sizes.  The screw sizes in
                                                                         1
                                               Table 8–2 with diameter under  in are numbered or gauge sizes. The second column
                                                                         4
                                               in Table 8–2 shows that a No. 8 screw has a nominal major diameter of 0.1640 in.
                                                  A great many tensile tests of threaded rods have shown that an unthreaded rod
                                               having a diameter equal to the mean of the pitch diameter and minor diameter will have
                                               the same tensile strength as the threaded rod. The area of this unthreaded rod is called
                                               the tensile-stress area  A t of the threaded rod; values of  A t are listed in both tables.
                                                  Two major Unified thread series are in common use: UN and UNR. The differ-
                                               ence between these is simply that a root radius must be used in the UNR series.
                                               Because of reduced thread stress-concentration factors, UNR series threads have
                                               improved fatigue strengths. Unified threads are specified by stating the nominal major
                                               diameter, the number of threads per inch, and the thread series, for example,  5 8  in-18
                                               UNRF or 0.625 in-18 UNRF.
                                                  Metric threads are specified by writing the diameter and pitch in millimeters, in
                                               that order. Thus, M12 × 1.75 is a thread having a nominal major diameter of 12 mm
                                               and a pitch of 1.75 mm. Note that the letter M, which precedes the diameter, is the
                                               clue to the metric designation.
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