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<br />I <br />I <br /> <br />, <br /> <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 />STEP 5. LOCAL SCOUR AT ABUlMEIfTS <br /> <br />Equations for predicting scour depths are based almost entirely on either <br />laboratory data or inductive reasoning from sediment continuity equations. <br />There are little field data to compare abutment scour equations. Abutments can <br />be set back from the natural stream bank or can project out into the flow; they <br />can have various shapes (vertical walls, spill through slopes) and they can be <br />set at an angle to the flow. Scour at abutments can be live-bed or clear-watar <br />scour. Finally, there can be varying amounts of overbank flow that is <br />intercepted by the approaches to the bridge and returned to the stre.. at the <br />abutment. <br /> <br />In this section, scour at abutments is divided into its various cases and <br />equations are given for each case. No single equation is recommended for a <br />given situation when more than one equation is applicable, because with the <br />lack of field data for verification, it is not know which equation is best. It <br />is recommended that the designer determine what case fits the design situation <br />and then use all equations that apply to the case. (See Table 4.1 and Figure <br />4.2.) IT IS MOST IMPORTANT THAT THE CCMlENTARY ON EACH OF THE EQUATIONS BE <br />READ AND UNDERSTOOD PRIOR TO ATTEMPTING TO USE THE EQUATIONS FOR DESiGN . <br />PURPOSES. Engineering judgment must be used to select the depth of <br />foundations. The designer should take into consideration the potential cost of <br />repairs to an abutment and danger to the travelling public in selecting scour <br />depths. Finally design measures such as spur dikes and riprap should be used <br />to increase the safety of the bridge. <br /> <br />Comments on Table 4.1 and Figure 4.2 <br />Note 1. Equations for these cases (except for Case 6) are based on laboratory <br />studies with little or no field data. <br /> <br />Note 2. The factor a/y~ = 25 as a limit for Cases 1-5 is rather arbitrary but <br />it is not practical to assume that scour depth, y., would continue to increase <br />with an increase in abutment length -a-. <br /> <br />Note 3. There are two general shapes for abutments. These are vertical wall <br />abutments with wing walls and spill-through abutments, Figure 4.3. Depth of <br />scour is about double for vertical wall abutments as compared with spill <br />through abutments. <br /> <br />Maximum Depth of Scour <br />Note 1. For live-bed scour with a dune bed configuration, the Maximum depth of <br />scour is about 30 percent greater than equilibrium scour depth given by Liu, <br />et al's equations (Equations 3 and 5). Therefore the values of scour that are <br />calculated for these equations should be increased by 30 percent when the bed <br />form is dunes upstream of the bridge. The reason for this is that the research <br />that was used for determining scour depth for the live-bed scour case was run <br />with a dune bed and equilibrium scour was measured. <br /> <br />Note 2. For clear-water scour (equation 8), the maximum depth of scour is <br />about 10 percent greater than live-bed scour; however, there is no need to <br />increase the scour depths because the equations predict the maxi.um scour. <br /> <br />25 <br />