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<br />If analyses are judged to be required, the analyses should begin <br />with the simplest appropriate methods and conservative assumptions. <br />If, from this first analysis, the structure is judged able to <br />resist earthquake forces, then that analysis should be sufficient. <br />If not, progressively more detailed analyses should be performed <br />and the structure designed accordingly. Regardless of the methods <br />of analyses, the final evaluation of the seismic safety of the dam <br />should be based on engineering judgment and past experience and not <br />just on the numerical results of the analyses. <br /> <br />2. Concrete Dams <br /> <br />a. Safety Concerns <br /> <br />(1) Types of Instability <br /> <br />Safety concerns for concrete dams subjected to earthquakes <br />involve two types of instability: sliding on a plane of <br />weakness and excessive cracking of the concrete. For <br />gravity dams, sliding instability is possible due to an <br />earthquake-induced vibratory motion on a plane of weakness <br />at, above, or below the foundation-dam interface. For an <br />arch dam, sliding instability can occur through the <br />fai lure of the abutment support. Sliding instabi li ty for <br />a buttress dam can occur at or below the foundation-dam <br />interface. Instability due to excessive cracking of the <br />concrete can occur in the upper half of a gravity and arch <br />dam and at any location of a buttresss dam, especially at <br />points of abrupt changes in the cross-section. <br /> <br />(2) Foundation Importance <br /> <br />Of the two types of possible instability discussed above, <br />foundation and/or abutment failure is the chief source of <br />concern for concrete dams. In contrast to the dam itself, <br />the supporting medium consists of natural materials of <br />varying composition, irregular joints, and planes of <br />weakness. The strength of this medium has to be estimated <br />from exploratory borings and tests on only a small <br />fraction of the material present. Key zones of weakness <br />are difficult to detec t. <br /> <br />(3) Field Performance <br /> <br />No major concrete dam is known to have failed due to <br />earthquake-induced ground motion, although some have <br />experienced strong ground motion. The field performance of <br />concrete dams during earthquakes is discussed in section H. <br /> <br />b. Defensive Design Measures <br /> <br />The application of defensive design measures is the most <br />dependable approach to alleviate safety concerns. Defensive <br />design measures for concrete dams include: <br /> <br />-18- <br />