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<br />Plate 39 along with Equation 3-4 using <1>" 40 deg. <br />Also shown on Plate 39 is the correction for side slope <br />when D30 is determined from Plate 37. Correction for <br />the vertical velocity distribution in bends is shown in <br />Plate 40. Limited testing has been conducted to deter- <br />mine the effects of blanket thickness greater than <br />IDUJo(max) on the stability of riprap. Results are shown <br />in Plate 40. <br /> <br />(2) The basic procedure to determine riprap size <br />using this method is as follows: <br /> <br />(a) Determine average channel velocity (HEC-2 or <br />other uniform now computational methods. or measure- <br />ment) <br /> <br />(b) Find V 55 using Plate 33 <br />(c) Find ~o using Plate 37 <br /> <br />(d) Correct for other unit weights, side slopes, verti. <br />cal velocity distribution. or thicknesses using Plates 38 <br />through 40 <br /> <br />(e) Find grnda1ion having ~o(min) ~ computed <br />D3o- <br /> <br />(3) This procedure can be used in both natural chan- <br />nels with bank prOlection only and prismatic channels <br />having riprap on bed and banks. Most bank protection <br />sections can be designed by direct solution. In these <br />cases. the extent of the bank compared to the tolal <br />perimeter of the channel means that the average ch:mnel <br />velocity is not significantly affected by the riprap. The <br />fITSt example in Appendix H demonslrates this type of <br />bank protection. <br /> <br />(4) In some c:lSCS, a large part of the channel <br />perimeter is covered with riprap; the average channel <br />velocity, depth. and riprap size are dependent upon one <br />anOlher; and the solution becomes iterative. A trial riprap <br />gradation is fITSt assumed atid resistance coefficients are <br />computed using Equalion 3-2. Then the five steps <br />described in (2) above are conducted. If the grad:uion <br />found in paragraph (e) above is equal to the assumed trial <br />gradation, the solution is complete. If nolo a new trial <br />gradation is assumed and the procedure is repeated. The <br />second example in Appendix H demonslrates this type of <br />channel riprap. <br /> <br />(5) In braided s=s and some meandering <br />Stre:lms. flow is often directed into the bank line at sharp <br />angles (angled flow impingement). Guidance is lacking <br />on determining the imposed force for this condition. <br /> <br />EM 1110-2-1601 <br />1 Jul 91 <br /> <br />Until better guidance can be developed, a local velocity of <br />1.5 times the average velocity in the approach channel is <br />recommended for use in riprap design. <br /> <br />(6) Transitions in size or shape may also require <br />riprap protection. The procedures in this paragraph are <br />applicable to gradual a-ansitions where flow remains <br />tranquil. In areas where flow changes from a-anquil to <br />13pid and then back to a-anquil. riprap sizing methods <br />applicable to hydraulic SlrUCtures (HDC 712-1) should be <br />used. In converging a-ansitions. the procedures based on <br />Equation 3-3 can be used unaltered. In expanding aransi- <br />tions. now can concentrate on one side of the expansion <br />and design velocities should be increased. For installa. <br />tions immediately downs=m of concrete channels. a <br />vertical velocity distribution coefficient of 1.25 should be <br />used due to the difference in velocity profIle over the two <br />surfaces. <br /> <br />3-8. Revetment Top and End Protection <br /> <br />Revelrnent top and end protection requirements, as with <br />all channel prolective measures, are to assure the project <br />benefits, to perform satisfactorily throughout the project <br />economic life, and nol to exceed reasonable maintenance <br />costs. Reference is made to ER 1110-2-1405, with <br />emphasis on paragraph 6c. <br /> <br />a. Reverm.e1l1 top. WIlen the full height of a levee is <br />to be proteCted. the revelrnent will cover the freeboard. <br />I.e., extend to the lap of the levee. This provides protec- <br />tion against waves. noating debris, and water.surface <br />irregularities. Similar provisions apply 10 incised channel <br />banks. A horizontal collar. at the top of the bank. is pro- <br />vided to protect against escaping and returning nows as <br />necessary. The end protection methods i1IuslI:lled in <br />Plate 41 can be adapted for horizonlal collars. Plate 36 <br />provides general guidance for velocity variation over <br />channel side slopes that can assist in evaluating the <br />economics of reducing or omitting revetment for upper <br />bank areas. Revetment size changes should not be made <br />unless a sufficient quantilY is involved to be cost effec- <br />tive. Many successful revelrnents have been conslrUcted <br />where the top of the revelrnent was tenninated below the <br />design flow line. See USACE (1981) for examples. <br /> <br />b. Revetment end protection. The upstre:lm and <br />downstre:lm ends of riprap revelrnent should be protected <br />against erosion by in=ing the revetment lhickness T <br />or extending the revelrnent to areas of noneroding veloci. <br />ties and re!:ltively stable banks. The following guid;]p:e <br />applies to the alternative methods of end protection iIIus- <br />lI:lled in P!:lte 4 I. <br /> <br />3-7 <br />