A 4-m-long quarter-circlular heavy gate of radius 3 m is hinged about its upper edge A, as shown in the figure. The gate controls the flow of water over the ledge at B. Determine a) the hydrostatic force FR on the gate and b) the minimum weight of the gate required to keep the gate closed when the water level is at the upper edge of the gate, A. You may assume the gate has a zero thickness when calculating the moment. Given g = 9.8 m/s². Recall the hydrostatic forces and center of pressure are given by

A 4-m-long quarter-circlular heavy gate of radius 3 m is hinged about its upper edge A, as shown in the figure. The gate controls the flow of water over the ledge at B. Determine a) the hydrostatic force FR on the gate and b) the minimum weight of the gate required to keep the gate closed when the water level is at the upper edge of the gate, A. You may assume the gate has a zero thickness when calculating the moment. Given g = 9.8 m/s². Recall the hydrostatic forces and center of pressure are given by

International Edition---engineering Mechanics: Statics, 4th Edition

4th Edition

ISBN:9781305501607

Author:Andrew Pytel And Jaan Kiusalaas

Publisher:Andrew Pytel And Jaan Kiusalaas

Chapter8: Centroids And Distributed Loads

Section: Chapter Questions

Problem 8.122P: The 12-ft wide quarter-circular gate AB is hinged at A. Determine the contact force between the gate...

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