Skip to Main Content
Probabilistic Models for Dynamical Systems, 2nd Edition
book

Probabilistic Models for Dynamical Systems, 2nd Edition

by Haym Benaroya, Seon Mi Han, Mark Nagurka
May 2013
Intermediate to advanced content levelIntermediate to advanced
764 pages
6h 43m
English
CRC Press
Content preview from Probabilistic Models for Dynamical Systems, 2nd Edition
3.38. A horizontal cantilever beam of length L fixed at its left end is loaded at its right end by a
downward acting force F. Length L is deterministic and force F is a random variable with mean value
µ
F
and standard deviation σ
F
. (a) Find the respective mean values and standard deviations for the
reaction shear force S and resisting moment M. (b) Find the correlation coefficient ρ
SM
between S and
M. Based on your result, what can be concluded about the functional relation between S and M?
Solution: The shear force and the moment at the wall are given by
S = F and M = F L.
(a) The respective mean values and standard deviations are
µ
S
= E {S} = E {F } =
Become an O’Reilly member and get unlimited access to this title plus top books and audiobooks from O’Reilly and nearly 200 top publishers, thousands of courses curated by job role, 150+ live events each month,
and much more.
Start your free trial

You might also like

Adaptive Learning Methods for Nonlinear System Modeling

Adaptive Learning Methods for Nonlinear System Modeling

Danilo Comminiello, Jose C. Principe
Mathematical Methods in Dynamical Systems

Mathematical Methods in Dynamical Systems

S. Chakraverty, Subrat Kumar Jena

Publisher Resources

ISBN: 9781439849897