Ch 7. Centroid/Distributed Loads/Inertia Multimedia Engineering Statics Centroid: Line Area Vol Centroid: Composite Distributed Loads Area Moment of Inertia
 Chapter 1. Basics 2. Vectors 3. Forces 4. Moments 5. Rigid Bodies 6. Structures 7. Centroids/Inertia 8. Internal Loads 9. Friction 10. Work & Energy Appendix Basic Math Units Sections Search eBooks Dynamics Fluids Math Mechanics Statics Thermodynamics Author(s): Kurt Gramoll ©Kurt Gramoll

 STATICS - CASE STUDY Introduction Problem Description An underwater archway is being added to a large aquarium so that visitors can view the fish up close. The water in the aquarium will exert a tremendous force downward onto the transparent arch. This force needs to be calculated accurately so that a safe design can be developed. What is known: The tunnel radius, a, of the glass arch is 9 ft. The water depth, b, is 20 ft. The length of the arch, L, is 30 ft. The water density ρ is 1.94 slug/ft3. Question Dimension Diagram What is the resultant force exerted on the glass arch? Approach Determine the pressure exerted by the water on the surface of the arch. Integrate the x and y components of the pressure over the surface area of the transparent arch to get the resultant force in the x and the y directions respectively.

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