Question: Q2. A solid circular cross-section tie-bar has been designed to carry a mean load of 15 kN with a COV of 0.12. The tie-bar is

Q2. A solid circular cross-section tie-bar has been designed to carry a mean load of 15 kN with a COV of 0.12. The tie-bar is made of steel with a mean yield stress of 270 N/mm- and a COV of 0.10. The mean diameter of the bar is 12 mm and its COV is 0.05. Assume that all uncertain parameters can be modelled as independent normal random variables. (a) Calculate the safety index and the probability of failure of the bar using the FOSM method. (b) Calculate the safety index and the probability of failure of the bar using the AFOSM method. Use Excel for the calculations (c) Compare the results obtained in (a) and (b) and comment on their difference and reasons for that. (20 marks)

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