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                 356   Mechanical Engineering Design
                                              , k a , k c , k d , and K f can be internal, and answers to questions will allow C σ and C S , as well
                                           0.30
                                          as C n and ¯n d , to be calculated. Later you can add improvements. Test your program with prob-
                                          lems you have already solved.
                                 6–73     When using the Gerber fatigue failure criterion in a stochastic problem, Eqs. (6–80) and (6–81)
                                          are useful. They are also computationally complicated. It is helpful to have a computer subrou-
                                          tine or procedure that performs these calculations. When writing an executive program, and it
                                          is appropriate to find S a and C Sa , a simple call to the subroutine does this with a minimum of
                                          effort. Also, once the subroutine is tested, it is always ready to perform. Write and test such a
                                          program.
                                 6–74     Repeat Problem. 6–73 for the ASME-elliptic fatigue failure locus, implementing Eqs. (6–82)
                                          and (6–83).
                                 6–75     Repeat Prob. 6–73 for the Smith-Dolan fatigue failure locus, implementing Eqs. (6–86) and (6–87).
                                 6–76     Write and test computer subroutines or procedures that will implement
                                          (a) Table 6–2, returning a, b, C, and  ¯ k a .
                                          (b) Equation (6–20) using Table 6–4, returning k b .
                                          (c) Table 6–11, returning α, β, C, and  ¯ k c .
                                          (d) Equations (6–27) and (6–75), returning  ¯ k d and C kd .
                                 6–77     Write and test a computer subroutine or procedure that implements Eqs. (6–76) and (6–77),
                                          returning  ¯q,  ˆσ q , and C q .
                                 6–78     Write and test a computer subroutine or procedure that implements Eq. (6–78) and Table 6–15,
                                                 √
                                          returning  a, C Kf , and  ¯ K f .
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