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ENG103 S08 MIDTERM PROB 1 KEY

# ENG103 S08 MIDTERM PROB 1 KEY - (REMINDER FOR FULL CREDIT...

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Unformatted text preview: (REMINDER: FOR FULL CREDIT, SHow ALGEBRAIc DERIVATION FIRST, THEN PLUG IN NUMBERS) 1. Water backs up behind a concrete dam. Leakage beneath the foundation gives the pressure distribution shown right. If the water depth on the left, h, is too large, the dam will topple about point A. a) Sketch a free body diagram of the dam. Provide all needed labels and deﬁne all quantities shown on the diagram. ‘6 b) Write and simplify the equation that expresses the static equilibrium of the dam in rotation about A in terms of the speciﬁc weights of water (y) and concrete (ye ), E , 11, hr, and H, the height of the dam EMA :O —y£_ii +mg Yw +542 32 —\/rziﬁ§,—\/r32ﬁ?1 :0 :4 h Q H 1m- if?) _g(7{§l’il>)+3§g(b:%b+ l 3 SW 2.33/3 _ (521) (MM b)_(3£>(x(h-t,)% g) : 0 MORE SPACE AVAILABLE ON THE NEXT PAGE/PROBLEM CONTINUES ON THE NEXT PAGE... _— _— “4:92” If; - if; @191 wwmi: ’75 637179 g 02 3 - JFQM9:H. Sui/9: Li 7’ L|72t£ :Fm rm { him bug’s/wig”, T)” ’3' T Z We g 2 3 c) If hr is 10 it, 6 is 35 ft, and the dam height, H, is 70 ft, will the darn fail before the water level is high enough to ﬂow over the top? Use y = 62.4 lb/ft3 , yc =1501b/ft3 and justify your answer quantitatively (no partial credit for guesses, even good ones). (SQBS 320°) mewsco 3 (62’4) 103 (707} '55") + 6,000 6 ‘70; 5 _ 3.547.200 {70) ((9:4) 00365;)” - 332,200 ‘3 ((121)(S§)L(70_Io) a tszglgm : 3 2 ...
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ENG103 S08 MIDTERM PROB 1 KEY - (REMINDER FOR FULL CREDIT...

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