**Water Control Gate Description**A 4-meter long quarter circle gate with a radius of 3 meters and negligible weight is hinged about its upper edge (location A). This gate is designed to control the flow of water over the ledge at location B. A spring mechanism is attached to the gate to assist in regulating the movement.**Diagram Explanation**1. **Water Flow Diagram**: - The main image depicts the water body applying a horizontal force \( F_h \) on the quarter circle gate. - There is also a vertical force \( F_v \) being applied to the gate from below. - Location B shows where the water overflows when the gate is open. - A spring is positioned near location B to control the gate’s movement.2. **Free Body Diagram**: - This diagram illustrates the forces acting on the quarter circle gate. - \( r = 3 \, \text{m} \), representing the radius of the gate. - Forces \( F_h \) and \( F_v \) are marked to show the points of action on the gate. - Other forces are depicted along the arc and straight sides to show the effect of water pressure.3. **Scale Reference**: - A square with 4 meters sides is depicted for scale reference.These illustrations emphasize the principles of physics related to pressure and force distribution on submerged surfaces and the mechanical response of the gate system. **Educational Website Content**---### Topic: Calculation of Forces on a Curved Gate#### Free Body DiagramA diagram is displayed, which includes a section labeled "Eₓ" corresponding to a horizontal force. The area marked "Spanning" appears to indicate a specific dimension of the setup.#### Problem Statement**(a)** Determine the horizontal force (Eₓ) acting on the curved gate.**(b)** Calculate Eₓ = Eᵧ - W, where W is the weight of the water, given as 222 N. Calculate Eₓ.---This section will guide students through understanding how to determine the forces acting on a structure, using principles of physics and engineering. The focus will be on calculating forces considering different parameters such as weight and specific geometry of structures.Students will be provided with an example problem where they must apply these principles to find the horizontal force on a curved gate. The problem involves using the weight of the water and geometric constraints.---

Answered: (a) Determine the horizontal Force (Fs)…

Engineering

Civil Engineering

(a) Determine the horizontal Force (Fs) acting on the curved gale.

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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