homework_07

# homework_07 - MIT OpenCourseWare http:/ocw.mit.edu 1.010...

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MIT OpenCourseWare http://ocw.mit.edu 1.010 Uncertainty in Engineering Fall 2008 For information about citing these materials or our Terms of Use, visit: http://ocw.mit.edu/terms.

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! ! " # \$ \$ % ( ) * + , - - 1.010 Fall 2008 Homework Set #7 Due November 6, 2008 (in class) 1. X has uniform distribution between 0 and 1. Let Y = X 2 . a) Find the exact mean value and variance of X b) Find the exact mean value and variance of Y . c) Approximate the mean value and variance of Y using first-order second-moment (FOSM) analysis. Compare with the results in (b). 2. The natural frequency ω at which a one-story building vibrates is given by K ω = M where K is the lateral stiffness of the building and M is its mass. If K is random with mean value m K and standard deviation σ K and M is known, use FOSM analysis to find in approximation the mean value and variance of ω . 3. In planning a building, the number of elevators is chosen on the basis of balancing initial costs versus the expected delay times of the users. These delays are closely related
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## This note was uploaded on 11/29/2011 for the course CIVIL 1.00 taught by Professor Georgekocur during the Spring '05 term at MIT.

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homework_07 - MIT OpenCourseWare http:/ocw.mit.edu 1.010...

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