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| Teaching Since: | May 2017 |
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MCS,PHD
Argosy University/ Phoniex University/
Nov-2005 - Oct-2011
Professor
Phoniex University
Oct-2001 - Nov-2016
5. Highway geometric design of curve radius. For vehicles negotiating a horizontal curve, centrifugal forces act to push the vehicle radially outward and such destabilizing forces are counterbalanced by the friction force between the tire and the pavement and the vehicle weight component related to the roadway superelevation. For the laws of mechanics, the following relationship holds:
|
R = V
15(0.01e + f )
where R is the radius of curve (ft), V is the vehicle speed (mph), f is the side friction (demand) factor, and e is the rate of roadway superelevation. For a certain curve at a highway section in your city, the speed is normally distributed with a mean of 70 mph and a standard deviation of 15 mph; the superelevation is a constant 7%; and the friction factor is normally distributed with a mean of 6 units and a standard deviation of
1.5 units. Plot a distribution of the resulting minimum radii. Determine the distribution type and parameters for the resulting minimum radii that will ensure stability for all vehicles negotiating the curve.
Q49:
1. A municipality wishes to construct an overhead water tank to serve a complex of newly built student residence halls. Designs under consideration include a cube, a cylinder, a sphere, and a cone (Figure 9.27).
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x x x x
Cube Cylinder Sphere Cone
Figure 9.27 Alternative configurations for design.
a. Determine which design (i) has the most capacity, (ii) utilizes the most material, (iii) offers the maxi- mum capacity while utilizing the least building material, and (iv) has the maximum usable (flat) floor area.
b. Which design would you recommend and why? What other design considerations may influence your decision?
c. Does the “useful floor area” attribute play any role in your decision? Why or why not?
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