High school

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Engineering and Construction

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A TASK ON GEOTECHNICS by Name Presented to Professor Class The name of the university City, State Due date Problem # 1 In the first assignment we are supposed, using the method presented by Vijayendra (2010, pp. 13–15), to construct the parabola that approximates the phreatic line.

Since in our case and , point L has such Figure 1. coordinates . At the same time, x coordinate of point M equals , while its z coordinate equals . Since in our case , , , and , point M has such coordinates . Points L and M are shown on Figure 1. We look for equation of the dam slope adjacent to the water reservoir in the form where and are constants. Since points L and M lie on this line, and can be found from the solution of the following system of equations (1) Solving the first equation of this system for we obtain the following . (2) Substituting the right hand side of equation (2) for in the second equation of system (1) we obtain the following . Therefore, . From equation (2) it follows that . Hence, the equation of the slope adjacent to the water reservoir has the following form:. The water level is equal to . Since and , the z coordinate of point A equals 43. Moreover, point A lies on line LM. Therefore, its x coordinate satisfies the following equation . Solving it for x we obtain that point A has such coordinates . In its turn, the difference between x coordinates of points L and A is the following:. Point F on the water surface at distance from point A has the following coordinates –. The difference between x coordinates of points F and O is the following: . ...

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