Two parts are to be assembled in a way that if one part fails, the entire assembly fails. Each of the parts have undergone extensive individual analysis and you are provided with statistics on the stresses that are expected. Specifically, you are provided with the mean and standard deviation of the stress, and the yield stress of the material for each part. Failure of a part will be defined as a part experiencing stress exceeding the yield stress. What is the probability that the assembly fails? (Hint: Use Table A-10 in the textbook to find the probability of failure for each part.)
Part #1: σnom = 260 MP a, U (σ) = 25 MP a, σyield = 310 MPa
Part #2: σnom = 475 MP a, U (σ) = 5 MP a, σyield = 490 MPa
