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<br />'._-', ". ~_"~"~,~"~:o7' <br />- ~ - ,-- ...... ,.-4 <br /> <br />,~'!^ <br /> <br /> <br />(>: <br />~--..' <br /> <br />1 <br /> <br />EM 1110- 2" 1601 <br />1 July 70 <br /> <br />. <br /> <br />The average local velocity in the vertical at any point should be determined <br />- <br />as illustrated in Appendix IV. The subsection width used to determine v <br />should not be too great. Where there is a significant difference in roughness <br />over the wetted perimeter, as may occur in a channel with riprap bank revet- <br />ment and a natural invert, a local effective friction coefficient as determined <br />from Hydraulic Design Chart 631-4 or Appendix IV should be used in comput- <br />ing values of v. A graphic solution of equation 32 is presented in plate 32. <br />(4) Boundary shear in bends. The distribution of local boundary shear <br />in a bend of a trapezoidal channel with equal bottom and side roughness is <br />indicated in plates 33 and 34 (compiled from data in refs 53, 54, and 55). <br />Average boundary shear values obtained by equation 32 should be multiplied <br />by the indicated ratios of Tb/i' 0 to obtain local boundary shear values in a <br />bend. <br /> <br />(5) Riprap design shear. The riprap design shear is defined as that <br />amount of local boundary shear that the in-place riprap will safely withstand. <br />The design shear for riprap placed on an essentially level channel bottom is <br />given by reference 56. / <br /> <br />- - <br /> <br />y <br /> <br />T = a (-v s - y) D 50 f- <br /> <br />(33) <br /> <br />where <br /> <br />Ys = the unit weight of stone saturated surface dry (SSD) <br />coefficient .. a" = 0.040 <br />The design shear for riprap placed on channel side slopes is given by the <br />following equation taken from reference 3 <br /> <br />T' = T (1 _ s~~ q, )0.5 (34) <br />sm 9 <br /> <br />where <br /> <br />cp = the angle of the side slope with the horizontal <br />9 = the angle of repose of the riprap, normally about 40 deg <br /> <br />4:1 <br /> <br />14g(5) <br /> <br /> <br />~if.. <br />.if '.. ~ : -1 <br />---\"'.' <br />