a. A 40-ft long (into the page) Tainter gate is shown below. It is being used by the U.S. Army Corps of Engineers in a dam to control water flow. If the gate is hinged at the point indicated, determine the hydrostatic force acting on the gate. Assume any necessary data. Water is at 25 deg. C 60 ft r= 60 ft

Structural Analysis
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Chapter2: Loads On Structures
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### Hydrostatic Force on a Tainter Gate

#### Problem Statement

A 40-ft long (into the page) Tainter gate is shown below. It is used by the U.S. Army Corps of Engineers in a dam to control water flow. If the gate is hinged at the indicated point, determine the hydrostatic force acting on the gate. Assume any necessary data. Water is at 25 degrees Celsius.

#### Diagram Description

The diagram illustrates a Tainter gate used in a dam structure. Key features of the diagram include:

- **Height of Water:** The water level is 60 feet high.
- **Radius of Gate:** The gate has a radius of 60 feet.
- **Hinge Point:** The gate is hinged at the pivot point located on the surface level opposite the curved surface.
- **Water Pressure Force:** The force due to water pressure acts perpendicularly to the gate's surface.

This arrangement creates a scenario for calculating hydrostatic force based on the water depth and the gate's geometrical properties.
Transcribed Image Text:### Hydrostatic Force on a Tainter Gate #### Problem Statement A 40-ft long (into the page) Tainter gate is shown below. It is used by the U.S. Army Corps of Engineers in a dam to control water flow. If the gate is hinged at the indicated point, determine the hydrostatic force acting on the gate. Assume any necessary data. Water is at 25 degrees Celsius. #### Diagram Description The diagram illustrates a Tainter gate used in a dam structure. Key features of the diagram include: - **Height of Water:** The water level is 60 feet high. - **Radius of Gate:** The gate has a radius of 60 feet. - **Hinge Point:** The gate is hinged at the pivot point located on the surface level opposite the curved surface. - **Water Pressure Force:** The force due to water pressure acts perpendicularly to the gate's surface. This arrangement creates a scenario for calculating hydrostatic force based on the water depth and the gate's geometrical properties.
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