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<br />SteD 2: Determine the side slope correction factor, K1: <br /> <br />From Figure 4.5 the reduction factor for a 1V:2.5H side slope is: <br /> <br />K1 = 0.73 <br /> <br />K1 = 0.67 <br /> <br />(for Block Size 1) <br />(for Block Size 2) <br /> <br />SteD 3: Determine the factor of safety for blocks placed on the channel side slope: <br /> <br />r (945 . <br />SF = 2. SF.) K1 - (1) 0.73 = 2.9 (for Block Size 1) <br />r 0 235.2 <br />r 1085 . <br />SF = 2.(SF.)K1 = (1) 0.67 = 3.5 (for Block Size 2) <br />r 0 209.8 <br /> <br />Factor of Safety Equations Example <br /> <br />Given: In addition to the hydraulic conditions given above, the following block <br />characteristics are provided. <br /> <br />Block Submerged R1 R2 Ra R4 tJ.Z co to' <br />Size Weight (mm) (mm) (mm) (mm) (mm) (mm) Pa <br /> (N) (N/m2) <br />1 127 76 223 122 223 12.7 329 958.0 <br />2 148 76 223 122 223 12.7 329 1102.0 <br />'to determined from testing. <br /> <br />NOTE: For computations, variables have been converted to meters. <br /> <br />SteD 1: Compute factor of safety parameters <br /> <br />e = tan-1(~) = 21.80 <br />2.5 <br /> <br />(side slope angle) <br /> <br />A = tan-1( 0.~39) = 2.230 <br /> <br /> <br />T) = ~ = 235.2 = 0.246 <br />to 958 <br /> <br />Tl = ~ = 209.8 = 0.190 <br />to 1102 <br /> <br />(bed slope angle) <br /> <br />(stability number for Block Size 1) <br /> <br />(stability number for Block Size 2) <br /> <br />conservatively assuming that FL = Fo then: <br /> <br />4.11 <br />