what is the reliability per load application and calculate

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A component has a strength which is normally distributed with a mean value of 5500 N and standard deviation (SD) of 400 N. The load it has to withstand is also normally distributed with mean value of 3000 N and SD of 400 N.

What is the reliability per load application? Calculate the Loading Roughness. Is this an intrinsically reliable component and why?

Assume there are ways to change the spread of the load variation, and that bigger change from the present value of SD=400 N is associated with higher cost. Suggest a change in load variation (i.e. SD value) associated with the lowest possible cost in your opinion so that the component becomes intrinsically reliable?

Provide details and discussion on all relevant calculations to this question.

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