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3-75 A 6-m-high, 5-m-wide rectangular plate blocks the end of a 5-m-deep freshwater channel, as shown in Fig. P3-75. The plate is hinged about a horizontal axis along its upper edge through a point A and is restrained from opening by a fixed ridge at point B. Determine the force exerted on the plate by the ridge. DI 1m 5 m B

3-75 A 6-m-high, 5-m-wide rectangular plate blocks the end of a 5-m-deep freshwater channel, as shown in Fig. P3-75. The plate is hinged about a horizontal axis along its upper edge through a point A and is restrained from opening by a fixed ridge at point B. Determine the force exerted on the plate by the ridge. DI 1m 5 m B

Structural Analysis
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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### Problem Description: **3-75:** A 6-meter-high, 5-meter-wide rectangular plate blocks the end of a 5-meter-deep freshwater channel, as illustrated in Figure P3-75. The plate is hinged about a horizontal axis along its upper edge through a point A and is restrained from opening by a fixed ridge at point B. The task is to determine the force exerted on the plate by the ridge. ### Figure Explanation: The figure accompanying the problem shows a vertical cross-section of the setup: - **Plate Dimensions:** The plate is 6 meters tall and 5 meters wide. - **Water Depth:** The water in the channel reaches a depth of 5 meters. - **Hinge Point A:** The plate is hinged at the top edge at point A. This indicates that point A acts as a pivot for any rotational movement. - **Restraint Point B:** The plate's bottom is held in place by a fixed ridge at point B. ### Problem Objective: The goal is to calculate the force that the ridge at point B exerts on the plate. This involves considering the hydrostatic pressure exerted by the water on the plate and how it translates into forces at the hinge and the ridge.
Transcribed Image Text:### Problem Description: **3-75:** A 6-meter-high, 5-meter-wide rectangular plate blocks the end of a 5-meter-deep freshwater channel, as illustrated in Figure P3-75. The plate is hinged about a horizontal axis along its upper edge through a point A and is restrained from opening by a fixed ridge at point B. The task is to determine the force exerted on the plate by the ridge. ### Figure Explanation: The figure accompanying the problem shows a vertical cross-section of the setup: - **Plate Dimensions:** The plate is 6 meters tall and 5 meters wide. - **Water Depth:** The water in the channel reaches a depth of 5 meters. - **Hinge Point A:** The plate is hinged at the top edge at point A. This indicates that point A acts as a pivot for any rotational movement. - **Restraint Point B:** The plate's bottom is held in place by a fixed ridge at point B. ### Problem Objective: The goal is to calculate the force that the ridge at point B exerts on the plate. This involves considering the hydrostatic pressure exerted by the water on the plate and how it translates into forces at the hinge and the ridge.
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