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Homework 9 - 2009_1

# Homework 9 - 2009_1 - a Calculate the reading on the...

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The University of Missouri - Columbia Department of Civil Engineering Assigned: Monday, October 5, 2009 Due: Wednesday, October 14, 2009 CE 3400 – Fall 2009 Homework No. 9 – Introduction to Consolidation 1. Settlements of saturated clays are often modeled with a piston and spring as shown in the figure below. The cylinder is filled with water and there is a small diameter “pin- hole” through which water can escape. If the load, P, were suddenly increased, describe the reaction of the model at time zero, with the passage of time, and at time infinity. P Small diameter "pin-hole" Piston Gauge 4 ft. 0.5 ft. 6 ft. 12 ft. 4 ft. 1 ft. Spring NOT TO SCALE 2. The spring-piston assembly shown in the above figure is initially in static equilibrium: the force, P is equal to zero and the dimensions are as shown. The piston weights 200 pounds (in air) and the spring constant is 500 pounds per foot. The piston has a circular cross-section. The external force, P, is suddenly increased from zero to 250 pounds.
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Unformatted text preview: a. Calculate the reading on the pressure gauge just before the 250-pound load was added? Use units of psf. Note: The gauge reads the pressure at the center of the gauge and the line connecting the gauge to the cylinder is filled with water. b. Calculate the reading on the pressure gauge immediately after applying the 250 pounds (before any significant amount of flow has occurred)? c. Calculate the reading on the pressure gauge when enough fluid has leaked out so that the piston has settled 0.1 foot. d. Calculate the reading on the pressure gauge once the flow of water out of the piston has ceased. Also calculate how much the piston will have settled from its initial position once flow has ceased. 3. If you applied the same loads to a deposit of sand and a deposit of clay and both deposits had the same thickness in which deposit would settlement be completed first? Explain why (Hint: There is more than one reason)....
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