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The objective of the study is to design a dam of height H with the geometry provided in the adjacent Figure 1 (hatched area).

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The objective of the study is to design a dam of height H with the geometry provided in the adjacent Figure 1 (hatched area). The structure is assumed to be perfectly rigid (reinforced concrete or steel) and we neglect its weight as well as its thickness. The pressure forces acting on the bottom part (AB) are used to make the system stable. woll Z y I C Patm Sw H The transversal extent of the structure along y-axis is assumed to be Ly. We assume that the atmospheric pressure Patm is surrounding the whole exterior structure (i.e. (AC) segment as well as (AB)). TT B L Figure 1: Sketch of the configuration studied 1. Justify the possible use (or not) of relative pressure in this particular case to evaluate the pressure forces exerted by all fluids (i.e. air and water) on the dam. 2. Sketch the distribution of pressure along the different elements of the dam (i.e. segments (AB) and (AC)). sbiving a 3. Evaluate the pressure forces exerted on each segment (AB) and (AC). Evaluate the location of the application point of those two forces. 4. Find the relationship existing between L and H to prevent a tilting of the dam. You will not consider the reaction of the floor, exerted on the segment (AB). 1/4

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