Laserfiche WebLink
A.MW <br />Henderson 3 Dam Buttress Design <br />January 26, 2018 <br />Page 9 <br />Results <br />The 3D model resulted in the post -earthquake factors of safety summarized in Table 3 and on <br />Figures 14 through 17 for Stage 1 and Stage 4 buttresses. These sections and profiles are provided <br />to illustrate the shape of the three-dimensional failure surface. The contours indicate that the failure <br />mechanism engages the majority of the stepback slope, extending from the dam crest to the toe, and <br />nearly to the left and right abutment contacts on Section 2 and 4a areas. <br />Table 3: Summary of FOS Results, Post -Earthquake Stability Review with Buttress <br />Construction <br />Stage <br />Crest Elevation <br />M <br />213 Factor of <br />Safety <br />3D Factor of <br />Safety <br />3D Stability <br />Figure <br />1 <br />8,883 <br />1.1 <br />1 A <br />14-15 <br />4 <br />8,900 <br />1.1 <br />1.25 <br />16-17 <br />3 -Dimensional Dynamic Deformation Analyses <br />Dynamic deformation analysis was performed for the Stage 1 and 4 with crest height elevation of <br />8,883 feet and 8,900 feet to evaluate if tolerable deformations occur after the design MDE event. <br />Three-dimensional post -earthquake dynamic deformation analyses were performed with the <br />computer code FLAMD, Version 5.01 (Itasca, 2011), a 3D explicit finite difference code. The <br />dynamic deformation analysis included the following: <br />1. A tum on gravity analysis to evaluate the initial stresses before the input earthquake motion <br />was applied. At the end of the tum on gravity analysis, the calculated horizontal, vertical, and <br />shear stresses should satisfy the horizontal and vertical force equilibrium conditions, and <br />strain compatibility conditions should be satisfied as well. <br />2. A dynamic analysis to evaluate response and deformation of the embankment due to gravity <br />and the input earthquake motion. In this case, the dynamic stresses were added to the static <br />stresses, and the earth structure was allowed to distort (translate, rotate, compress, and <br />expand). <br />3. A post -earthquake analysis to evaluate the deformations of the embankment under gravity <br />loading alone following the input earthquake shaking. The input earthquake motion was <br />stopped, but gravity load was maintained to evaluate deformations that may have been <br />induced by readjustment of stresses and strains developed during earthquake shaking. The <br />gravity force was applied until a final, static equilibrium was achieved. Or, if the structure was <br />"unstable" under the post -earthquake loading, a static force imbalance would have been <br />maintained and the structure would continue to deform, indicating that a "flow failure" of the <br />impoundment would be considered a likely scenario. <br />Material Properties <br />The soil properties used in the dynamic deformation analyses were as follows: <br />1. Total unit weight <br />2. Undrained shear strength and residual shear strength <br />3. Initial shear modulus <br />M.IDCSIPtoMch5VYT1MOSS1l9!_Hptl_9uhLi06 p"Mp.EINIpRYB Ramal 3 Dun &— 0 -Ir L.ur Rpa(_Rw. 6- FhAd— <br />