equivalent circle. (b) Compare the line of actions, as well. The initial wide triangular gate is shown in the figure below.
equivalent circle. (b) Compare the line of actions, as well. The initial wide triangular gate is shown in the figure below.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Question

Transcribed Image Text:**Analysis of Hydrostatic Force on a Triangular Gate**
**Problem Statement:**
(a) Compare the resultant force acting on the gate if we change the shape of the gate from a triangle to an equivalent circle.
(b) Compare the line of actions as well. The initial location of the 0.7-meter-high and 0.7-meter-wide triangular gate is shown in the figure below.
**Diagram Description:**
The diagram depicts a triangular gate submerged in water. The gate is oriented with its base parallel to the water surface. Key dimensions include:
- The vertical distance from the water surface to the top of the gate is 0.9 meters.
- The triangular gate has a height of 0.7 meters and a base width of 0.7 meters.
- The distance from the apex of the triangle along its height to the centroid is marked as 0.3 meters.
The inclination angle of the gate relative to the vertical is denoted as \( \beta \).
This educational content is designed to facilitate the understanding of hydrostatic forces and their applications on submerged structures. Students are encouraged to calculate and compare the resultant forces and lines of action for different shapes to gain insights into fluid dynamics and engineering design principles.
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