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A temporary dam is constructed in a lake to allow for the dry construction of a bridge pier near the lake's edge. The dam consists of two, parallel, water-permeable enclosures separated by 6 feet. The space between the enclosures is filled with soil that has a permeability of 0.35 feet/day, based on laboratory testing. The lake water is 12 feet above the dam's bottom, and the lake bottom is practically impermeable to water. Consider a 10-foot width of the dam, as shown in the figure below. For this 10-foot width, how many gallons of water will seep from the lake, through the soil of the temporary dam, and into the construction area each day? Circle the correct answer below (4 points), and show your work (6 points). a.) 8 gallons per day c.) 84 gallons per day e.) 628 gallons per day b.) 80 gallons per day d.) 600 gallons per day f.) 1000 gallons per day

A temporary dam is constructed in a lake to allow for the dry construction of a bridge pier near the lake's edge. The dam consists of two, parallel, water-permeable enclosures separated by 6 feet. The space between the enclosures is filled with soil that has a permeability of 0.35 feet/day, based on laboratory testing. The lake water is 12 feet above the dam's bottom, and the lake bottom is practically impermeable to water. Consider a 10-foot width of the dam, as shown in the figure below. For this 10-foot width, how many gallons of water will seep from the lake, through the soil of the temporary dam, and into the construction area each day? Circle the correct answer below (4 points), and show your work (6 points). a.) 8 gallons per day c.) 84 gallons per day e.) 628 gallons per day b.) 80 gallons per day d.) 600 gallons per day f.) 1000 gallons per day

Structural Analysis
Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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A temporary dam is constructed in a lake to allow for the dry construction of a bridge pier near the lake's edge. The dam consists of two, parallel, water-permeable enclosures separated by 6 feet. The space between the enclosures is filled with soil that has a permeability of 0.35 feet/day, based on laboratory testing. The lake water is 12 feet above the dam's bottom, and the lake bottom is practically impermeable to water. Consider a 10-foot width of the dam, as shown in the figure below. For this 10-foot width, how many gallons of water will seep from the lake, through the soil of the temporary dam, and into the construction area each day? Circle the correct answer below (4 points), and show your work (6 points). a.) 8 gallons per day c.) 84 gallons per day e.) 628 gallons per day b.) 80 gallons per day d.) 600 gallons per day f.) 1000 gallons per day Water-permeable enclosures Bank of lake Lake surface 10 feet Soil Constr uction area Lake water 6 ft Temporary dam The relevant equation is: Water Seepage Rate = (Permeability ) x Dam Area x (Water Height) \Soil Thickness, In the above equation: Water Seepage Rate is the volume of water per unit time that seeps through the dam. Permeability is a measure of how easily water passes through soil, with dimensions of length per unit time. For this dam, the soil's Permeability is 0.35 feet per day. Dam Area is the area of the dam that is exposed to lake water. In this example, this area is 10 feet wide by 12 feet high. Soil Thickness is the length of the soil through which the water must seep to get from the lake to the construction area. In this example, the Soil Thickness is 6 feet. Water Height is the height of the water on one side of the dam. In this example, the Water Height is 12 feet. Hints: 1. Use the equation above to find the seepage rate in cubic feet per day. 2. Convert cubic feet to gallons using the following conversion factor: 1 ft3 = 7.48 gallons. 3. Round your final answer to the appropriate number of significant figures. (It's generally recommended to retain more sig figs for your intermediate calculations, and round only your final answer.) 12 feet
Transcribed Image Text:A temporary dam is constructed in a lake to allow for the dry construction of a bridge pier near the lake's edge. The dam consists of two, parallel, water-permeable enclosures separated by 6 feet. The space between the enclosures is filled with soil that has a permeability of 0.35 feet/day, based on laboratory testing. The lake water is 12 feet above the dam's bottom, and the lake bottom is practically impermeable to water. Consider a 10-foot width of the dam, as shown in the figure below. For this 10-foot width, how many gallons of water will seep from the lake, through the soil of the temporary dam, and into the construction area each day? Circle the correct answer below (4 points), and show your work (6 points). a.) 8 gallons per day c.) 84 gallons per day e.) 628 gallons per day b.) 80 gallons per day d.) 600 gallons per day f.) 1000 gallons per day Water-permeable enclosures Bank of lake Lake surface 10 feet Soil Constr uction area Lake water 6 ft Temporary dam The relevant equation is: Water Seepage Rate = (Permeability ) x Dam Area x (Water Height) \Soil Thickness, In the above equation: Water Seepage Rate is the volume of water per unit time that seeps through the dam. Permeability is a measure of how easily water passes through soil, with dimensions of length per unit time. For this dam, the soil's Permeability is 0.35 feet per day. Dam Area is the area of the dam that is exposed to lake water. In this example, this area is 10 feet wide by 12 feet high. Soil Thickness is the length of the soil through which the water must seep to get from the lake to the construction area. In this example, the Soil Thickness is 6 feet. Water Height is the height of the water on one side of the dam. In this example, the Water Height is 12 feet. Hints: 1. Use the equation above to find the seepage rate in cubic feet per day. 2. Convert cubic feet to gallons using the following conversion factor: 1 ft3 = 7.48 gallons. 3. Round your final answer to the appropriate number of significant figures. (It's generally recommended to retain more sig figs for your intermediate calculations, and round only your final answer.) 12 feet
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