Assume that the failure rate calculated in Problem 6.39 is unacceptable.
(a) To what value would the standard deviation of part strength have to be reduced in order to give a failure rate of only 1%, with no other changes?
(b) To what value would the nominal part strength have to be increased in order to give a failure rate of only 1%, with no other changes?
Problem 6.39
A particular machine part is subjected in service to a maximum load of 10 kN. With the thought of providing a safety factor of 1.5, it is designed to withstand a load of 15 kN. If the maximum load encountered in various applications is normally distributed with a standard deviation of 2 kN, and if part strength is normally distributed with a standard deviation of 1.5 kN, what failure percentage would be expected in service?