The change in the length of a rod shown in the figure above and due to an
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The change in the length of a rod shown in the figure above and due to an axial force P is given by
where L is the length of rod, P is the applied axial force, A is the cross-sectional area of rod, and E is the modulus of elasticity. If P and E are normally distributed with μP and σP and μE and σE, respectively, determine the first-order mean and variance of ΔL for the following two cases: (1) P and E are uncorrelated, and (2) P and E are correlated with a correlation coefficient ρ.
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Related Book For 
Probability Statistics And Reliability For Engineers And Scientists
ISBN: 9781439809518
3rd Edition
Authors: Bilal M. Ayyub, Richard H. McCuen
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