Traffic And Highway Engineering
Traffic And Highway Engineering
5th Edition
ISBN: 9781133605157
Author: Garber, Nicholas J., Hoel, Lester A.
Publisher: Cengage Learning,
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Chapter 16, Problem 5P
To determine

(a)

The meaning of 10 year storm.

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Assume that in earthquake-resistant design, the following relations take place: Y=ce, where Y is the ground motion intensity at the building site, X is the magnitude of an earthquake, and the constant c is related to the distance between the site and center of the earthquake. Assuming that X is exponentially distributed, fx (x)=ex with x 20 and >2, (a) Derive the PDF and CDF of Y, including the bounds, and sketch them. (b) Determine the median (i.e., 50%-fractile) and 90%-fractile (value of Y that has a probability of not being exceeded of 90%) of Y. (c) Determine the mean and variance of Y by using the PDF of Y derived under (a). (d) Determine the mean and variance of Y directly from the PDF of X.
== = Q1/A cantilever sheet-pile wall penetrating a granular soil. Here, Li= 3 m, L2 = 6 m, y 17.3kN/m³, Ysat 19.4 kN/m², and 0= 30. a. What is the theoretical depth of embedment, D? b. For a 30% increase in D, what should be the total length of the sheet piles? c. What should be the minimum section modulus of the sheet piles? Use σall = 172 MN/m².
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