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<br />I' <br />I <br />I <br />I <br />I <br />I <br />I <br />I <br />I <br />I <br />I <br />! I <br />I <br />!I <br />I <br />I <br />I <br />I <br />I <br /> <br />Product Number <br />Of prime interest in this analysis is the "product number", or that combination of average <br />velocity (V) and Flood depth (d) which creates instability under given conditions. The product <br />number (PN) is defmed as: <br /> <br />Figure 9 Table 4 <br /> <br />The combinations of velocity and depth, detennined herein to be hazardous, were used to produce <br />plots of the depth versus product number for both slippage and toppling hazards (Figures 9 and <br />10). These are shown superimposed on their respective hazard curves. For example, referring to <br />the slippage resultant product number (Figure 9), a velocity of 3.15 fps produces hazard at a depth <br />of 2 feet as discussed earlier (fable I). Thus the product number at 2 feet is 2 x 3.15 or 6.30 <br /> <br />Toppling Hazard <br />Iknth Product Number <br />0.4 6.08 <br />0.6 5.90 <br />0.8 5.71 <br />1.0 5.52 <br />1.2 5.33 <br />1.4 5.12 <br />1.6 4.91 <br />1.8 4.68 <br />2.0 4.45 <br />2.2 4.20 <br />2.4 3.94 <br />2.6 3.66 <br />2.8 3.35 <br />3.0 3.01 <br />3.2 2.63 <br />3.4 2.19 <br />3.6 1.62 <br />3.8 0.70 <br /> <br />V 10 <br /> <br />e <br />1 <br /> <br />o <br />r <br /> <br />P <br />r <br />o <br />d <br /> <br />, <br /> <br />V 10 <br /> <br />e <br />1 <br /> <br />o <br />r <br /> <br />P <br />r <br />o <br />d <br /> <br />, <br /> <br />PN = V x d <br /> <br />Slippage Hazard <br />Product Number <br /> <br />-t <br /> <br />:0: <br />..........".........\.........................................................."............................................... <br />:o:~ <br />~' <br />:0: <br /> <br />.x- 511ppoge <br />Prod. ' (5lipp.) <br /> <br /> <br />5 :0:, <br />:0: <br />...............................~:o:......................................................... <br />':0: <br />.....x.....:I: <br />'x....x <br />........-......~~..~~~........ '_'~ !'!toox..... <br />:0:":0: <br />.........................~...... .................................. .................................. ........~.~."--x............ <br />':0: <br /> <br />o <br />o <br /> <br />2 <br />Depth <br /> <br />J <br /> <br />4 <br /> <br />Toppling Hazard <br />Product Number <br /> <br />................~...... ............................... ................ :: ::::~j:g(TOPp.) <br /> <br />A_ <br /> <br />.............~......................................._..........".............................................. <br />. <br /> <br />5 <br /> <br /> <br />.. <br />...-......-..-- .-,..--. "- <br />.. <br />...............................................~,......................................... <br />.... <br />..-. <br />-e_. <br />-.-.....-..- _...........~~--~_. .._---~~~.-.._-_. --. <br />-.... <br />-. <br /> <br />o <br />o <br /> <br />2 <br />Depth <br /> <br />J <br /> <br />4 <br /> <br />Figure 10 <br /> <br />.. 10- <br /> <br />Slippage Hazard <br />Oenlh ProdUCf Number <br />0.43.84 <br />0.6 4.57 <br />0.8 5.11 <br />1.0 5.52 <br />1.2 5.83 <br />1.4 6.06 <br />1.6 6.21 <br />1.8 6.28 <br />2.0 6.29 <br />2.2 6.23 <br />2.4 6.10 <br />2.6 5.89 <br />2.8 5.60 <br />3.0 5.22 <br />3.2 4.71 <br />3.4 4.03 <br />3.6 3.08 <br />3.8 1.37 <br /> <br />Table 5 <br />