CEE 366 - Wartman - Winter 2012 - Homework 4

# CEE 366 - Wartman - Winter 2012 - Homework 4 - h cm h cm h...

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Homework 4 Solutions: Problem 1: A clean sand having a permeability of 4.5x10 -3 cm/s and a void ratio of 0.45 is placed in a horizontal permeability apparatus, as shown in Figure 7.2 of H,K&S. Compute the discharge velocity and the seepage velocity as the head Δh goes from 0 to 80 cm. The cross-sectional area of the horizontal pipe is 95 cm 2 , and the soil sample is 0.65m long. Solution: s cm s cm v e e n n v v s cm s cm ki v cm cm L h i s s / 0177 . 0 31 . 0 / 0055 . 31 . 0 1 / 0055 . 0 23 . 1 * / 10 5 . 4 23 . 1 65 80 3 Problem 2: A constant head permeability test is performed on a soil that is 2cm x 2 cm square and 2.5 cm long. The head difference applied during the test is 18cm, and 5cm 3 is collected over a time of 100 seconds. A falling head test is to be done on the same soil specimen in the same time (t 2 -t 1 = 100 seconds), and the standpipe diameter is 0.8 cm. If the average head during the test should be 18 cm (1/2 (h 1 + h 2 = 18), what are h 1 and h 2 ? Solution: cm

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Unformatted text preview: h cm h cm h h h h or h h h h s cm cm cm h h t A aL k s cm s cm cm cm cc hAt QL k 9 . 22 , 1 . 13 18 ) ( 2 1 74 . 1 74 . 1 log ) 100 )( 4 ( ) 5 . 2 )( ) 8 . ( 4 ( 3 . 2 log 3 . 2 / 10 74 . 1 ) 100 )( 4 )( 18 ( ) 5 . 2 )( 5 ( 2 1 2 1 2 1 2 1 2 1 2 2 2 1 3 2 Problem 3: For the completed flow net of Fig. P7-30 (see H,K&S, the dark line is an impermeable sheet pile), compute the flow under the dam per meter of dam if the coefficient of permeability is 4.2x10-4 cm/s. Solution: wall of m s m wall of cm s cc cm s cm N N kh q d f L 3 4 4 10 53 . 8 0853 . 3 . 9 3 ) 630 )( / 10 2 . 4 ( Problem 4: These results are typical of a good solution, but there is obviously some room for interpretation between individuals....
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## This note was uploaded on 03/31/2012 for the course CEE 366 taught by Professor Arduino,p during the Winter '08 term at University of Washington.

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CEE 366 - Wartman - Winter 2012 - Homework 4 - h cm h cm h...

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