a Calculate the mean variance and coefficient of variation o

(a) Calculate the mean, variance, and coefficient of variation of the member stress in terms of the mean (mM) and variance ( s2M ) of the moment M.

(b) Consider the maximum stress in the beam cross-section to have a mean of 50.0 ksi and standard deviation of 5.0 ksi. If this stress is assumed to have a uniform probability density function (PDF), then plot its PDF and calculate the probability that the stress will be greater than 47.9 ksi.

The structural engineering formula for the axial stress S, at a distance y from the neutral axis of a beam with a moment of inertiawhen subjected to a bending moment M, 1s M y Consider M to be a random variable and let y and I be deterministic (a) Calculate the mean, variance, and coefficient of variation of the member stress in terms of the mean (HM) and variance( ) of the moment M (b) Consider the maximum stress in the beam cross-section to have a mean of 50.0 ksi and standard deviation of 5.0 ksi. If this stress is assumed to have a uniform probability density function (PDF), then plot its PDF and calculate the probability that the stress will be greater than 47.9 ksi.

Solution