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Understanding Hydrostatics: Pressure Centers and Gate Dynamics

This module examines the principles of hydrostatics, focusing on the relationship between pressure centers and the mechanics of gates. It explores the distances of pressure center (Ycp) and center of gravity (CG), emphasizing their significance in balancing the hydrostatic forces acting on a gate. Key concepts include the balance of momentum, forces affecting gate movement, and the implications of hydrostatic pressure on gate operation. Practical examples demonstrate how to analyze and solve related problems using fundamental hydrostatic principles.

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Understanding Hydrostatics: Pressure Centers and Gate Dynamics

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  1. Aula Prática 3 Hydrostatics

  2. Xcp= distance of the pressure center to the beginning of the inclined surface. Ycp is the distance to the gravity center.

  3. The momentum of P must balance the momentum of the hydrostatic force. The hydrostatic force is applied on the Center of Pressure. L/2 CG CP YCP Note: Ycp is negative

  4. Fh opens the gate and Fv closes it. The movement of the gate will depend on the momentum. Neglecting gate thickness: d Fh Fv

  5. The total momentum referred to point O is zero. We have 4 Forces: 2 hydrostatic and 2 weights. P2 Fh P1 Fv

  6. P2 Fh P1 Fv

  7. Tables https://ecourses.ou.edu/cgi-bin/ebook.cgi?doc=&topic=fl&chap_sec=&page=&appendix=sections

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