A beam of circular cross- thhin han section is subjected to pure bending moment M and the bending stresses are given by the following equation: 32 Мъ nd where d is the diameter of the beam. It has been observed that the diameter (d) of the beam is a normally distributed random variable with a mean of 50 mm and a standard deviation of 0.125 mm. The bending moment (M) is also a normally distributed random variable with a mean of 1750 N-m and a standard deviation of 150 N-m. Determine the mean and standard deviation of the corresponding bending stress variable (0). Comment on the analysis.

A beam of circular cross- thhin han section is subjected to pure bending moment M and the bending stresses are given by the following equation: 32 Мъ nd where d is the diameter of the beam. It has been observed that the diameter (d) of the beam is a normally distributed random variable with a mean of 50 mm and a standard deviation of 0.125 mm. The bending moment (M) is also a normally distributed random variable with a mean of 1750 N-m and a standard deviation of 150 N-m. Determine the mean and standard deviation of the corresponding bending stress variable (0). Comment on the analysis.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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