Materials Science And Engineering
Materials Science And Engineering
10th Edition
ISBN: 9781119405498
Author: Callister, William D., Jr, RETHWISCH, David G., Jr., 1940- Author.
Publisher: Wiley,
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Chapter 8, Problem 6QAP
To determine

The fracture occurs or not at given stress and crack length and reason in support of the answer.

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2. A single-effect evaporator is concentrating a feed solution of organic colloids from 5 to 50 wt %. The solution has a negligible boiling point elevation. The heat capacity of the feed is cp . 4.06 kJ/kg K and the feed enters at 15.6 °C. Saturated steam at 101.32 kPa is available for heating, and the pressure in the vapor space of the evaporator is 15.3 kPa. A total of 4536 kg/h of water is to be evaporated. The overall heat-transfer coefficient is 1988 W/m². K. What is the required surface area in m² and the steam consumption?
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.
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