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An artificial reservoir is planned to be obtained via a concrete dam, with water backing up behind the concrete dam as shown in Figure 1.1.

An artificial reservoir is planned to be obtained via a concrete dam, with water backing up behind the concrete dam as shown in Figure 1.1. The density of the concrete c is 2502 kgm3. The water depth required upstream of the dam is 10.7 m, and the height of the dam is hD m. Water is kept at a level of hW m downstream of the dam. The dam needs to be designed to be stable to sliding and tipping around the axis A. The stability to tipping is performed assuming that leakage under the foundation occurs, resulting in a pressure distribution under the dam as indicated, with pB = Wgh and PA = WghW. w is the density of water. Base your analysis on a unit length of the dam (which means that the length in the direction entering the page is 1 m). 1. <35 marks>With a value for L of 2.2 m, for the dam in the left hand side of Figure 1.1, will the dam be stable to both sliding (assume a static friction coefficient =0.8 and no leakage under the dam) and tipping around the axis A (with leakage under the dam)

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