318CHAPTER 3. EFFECTS OF GRAVITY ON PRESSURE3.62Chapter 3, Problem 62Figure 3.47:Dam with linear sections.The projection of the dam onto a vertical plane is a rectangle of height3hand width8h.So, the centroid, area and moment of inertia arez=32h,A=24h2,I=112(8h)(3h)3=18h4Thus, the horizontal component of the force on the dam isFx=ρgzA=ρgw32hWp24h2Q=36ρgh3Turning to the vertical component, the cross-sectional area of the fluid above the dam inthexzplane consists of the following segments:•A rectangle of width52hand heighth;•A parallelogram with heighthand bases of
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This note was uploaded on 10/12/2009 for the course AME 309 at USC.