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<br />1997. For each pebble count, the intermediate axis of approximately 100 random <br /> <br />particles was measured and recorded. Pebble counts were conducted on a straight line <br /> <br />which crossed the cobble bar perpendicular to the direction of flow. <br /> <br />Calculation of Average Boundary and Critical Shear Stresses <br /> <br />The stage elevations and discharges necessary to inundate the three distinct <br /> <br />geomorphic surfaces identified adjacent to the channel were used to calculate the average <br /> <br />boundary shear stress at 12 of the 14 established cross sections. We then compared the <br /> <br />average shear stresses applied by these discharges, with the critical shear stress necessary <br /> <br />to entrain the Dso particle sizes from pebble count locations in the reach. Discharges <br /> <br />where boundary shear stresses exceeded the critical shear stress were considered <br /> <br />sufficient to mobilize sediment. <br /> <br />We used the Duboys equation to calculate the average shear stresses applied to <br /> <br />the boundaries of the channel. Average boundary shear stress is calculated as: <br /> <br />to = gRS <br />where to is the average boundary shear stress in N/m2, g is the specific weight of water at <br /> <br />100 C (9797 kg/m2s2), R is the hydraulic radius ofthe channel at the indicated stage, and <br /> <br />S is the water surface slope at the indicated stage. When channel width is much greater <br /> <br />than depth, mean depth is a good approximation of hydraulic radius. All of the cross <br /> <br />sections measured in the study reach fit this criteria, and we approximated the hydraulic <br /> <br /> <br />radius with mean depth, calculated as the cross-sectional area divided by the top-width of <br /> <br /> <br />the channel. The slope of the water surface at the desired stages was not directly <br /> <br /> <br />measured because we did not observe high discharges during our field work. We used a <br />16 <br />