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<br />I <br />.' <br />I <br />I <br />I <br />.' <br />v <br /> <br />I <br />t <br />I <br />I <br />I <br />I <br />I <br />J <br />I <br />I <br />I <br />I <br />t <br /> <br />Stability. The stability of the existing structure was estimated based on rough physical <br />dimensions of the structure and estimates of material strengths. No drawings of the as-built <br />condition of the structure are available, and the conditions of the foundation to rock contact <br />are not known and can only be estimated. <br /> <br />Tests were not conducted on the concrete, and the compressive strength was estimated at 2000 <br />psi. The shear strength of the shale bedrock, for purposes of sliding, was estimated at 380 for <br />friction angle and cohesion of 1000 pounds per square foot. This is based on our past <br />experience and testing of the Pierre shale on various projects. <br /> <br />Three conditions were analyzed for stability of the diversion structure similar to those <br />typically checked on a concrete dam. The three conditions are USUAL, UNUSUAL, and <br />EXTREME. The USUAL loads include water to the top of the structure; UNUSUAL loads <br />include the structure overtopped during a flood; and, EXTREME loads are earthquakes with <br />the water level to the top of the structure. An additional normal load case was checked using <br />an ice load of 10,000 pounds per linear foot of structure with the water two feet (2') above <br />the base to simulate the normal winter condition. It would not be normal to have a full pool <br />behind the structure during winter with ice on the river as the sand gate is always left open in <br />the winter. <br /> <br />Table V-I below summarizes the conditions and the factor of safety calculated for each <br />condition. <br /> <br />Table V-I <br />Stability Analysis for Existing Structure <br /> <br /> <br />USUAL-W/O ICE <br />USUAL- W/ ICE <br /> <br />UNUSUAL <br /> <br />EXTREME <br /> <br />.., - ,. <br />'-';'-:-:-,;-,-;:-'-,,-::-'- .'.-,::,' -:::---.-"""'" <br />",-"",',-,-".- ,- '. ':-":'-."."" <br />}<i~=.......ii. <br />L...<'.,.,".'......~AFE'Iry,..,'..L....,........,....' <br />"fACtOR" <br />1.5/4.0 <br /> <br />1.65 <br />1.04 <br /> <br />0.98 <br /> <br />1.41 <br /> <br />9.7 <br />2.0 <br /> <br />4.6 <br /> <br />6.5 <br /> <br />1.3/2.7 <br />1.1/1.3 <br /> <br />As shown in the table above, the USUAL and EXTREME cases have adequate factors of <br />safety; however, the UNUSUAL condition and the NORMAL condition with ice both have <br />somewhat low factors of safety. The UNUSUAL case assumes the gates are not open and that <br />water is flowing five feet (5') over the structure. Opening the gates would obviously reduce <br />the pressure significantly and increase the overturning factor of safety . We would expect the <br />gates would normally be open during a flood event. <br /> <br />PAGE7 . CbapcerV <br />