Do in 2 min A beam of circularCTOSS-section is subjected to pure bending moment Mand the bending stresses are given by the followingequation:32AMwhere d is the diameter of the beam. It has beenobserved that the diameter (d) of the beam isa normally distriluted random variable with amean of 50 mm and a standard deviation of 0.125mm. The bendding moment (M) is also a normallydistributed random variable with a mnean of 1750N-m and a standard deviation of 150 N-m.Determine the mean and standard dleviationof the corresponding bending stress variable (o).Comment on the analvsis.

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uormally distributed random variable an of 50 mmn and a standdard deviation e 2. The bending moment (AMj is also a m tributed random variable with a meam n and a standard deviation of 150 N-m. Determine the mean andl standard d the correspoding bending stress varia mment on the analvsis.

uormally distributed random variable an of 50 mmn and a standdard deviation e 2. The bending moment (AMj is also a m tributed random variable with a meam n and a standard deviation of 150 N-m. Determine the mean andl standard d the correspoding bending stress varia mment on the analvsis.

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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Concept explainers

Basic Terminology in Mechanics

The area of science and mathematics concerned the motion of the objects, the relation between the force matter, and motion if specified. Forces exerted over the objects result in displacements or changes in the position of an object concerning its environment. This branch of physics keeps its roots in Ancient Greece in the form of the scripts of Aristotle and Archimedes.

Question

Do in 2 min

A beam of circular
CTOSS-
section is subjected to pure bending moment M
and the bending stresses are given by the following
equation:
32AM
where d is the diameter of the beam. It has been
observed that the diameter (d) of the beam is
a normally distriluted random variable with a
mean of 50 mm and a standard deviation of 0.125
mm. The bendding moment (M) is also a normally
distributed random variable with a mnean of 1750
N-m and a standard deviation of 150 N-m.
Determine the mean and standard dleviation
of the corresponding bending stress variable (o).
Comment on the analvsis.

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