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.

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Chapter5: Analysis Of Convection Heat Transfer
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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.
Transcribed Image Text: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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