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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Transcribed Image Text:ham
A beam of circular cross-
section is subjected to pure bending moment M
and the bending stresses are given by the following
equation:
32 Мь
ла
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 (o).
Comment on the analysis.
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