P2.62 15 ft 60° Pulley 10,000 lb B Water Gate AB in Fig. P2.62 is 15 ft long and 8 ft wide into the paper and is hinged at B with a stop at A. The water is at 20°C. The gate is 1-in- thick steel, SG =7.85. Compute the water level h for which the gate will start to fail.
P2.62 15 ft 60° Pulley 10,000 lb B Water Gate AB in Fig. P2.62 is 15 ft long and 8 ft wide into the paper and is hinged at B with a stop at A. The water is at 20°C. The gate is 1-in- thick steel, SG =7.85. Compute the water level h for which the gate will start to fail.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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**Diagram Description:**
The figure illustrates a gate AB submerged in water, positioned at an angle and reinforced by a pulley system. Here's a detailed explanation of the components:
- **Gate AB:**
- Length: 15 feet
- Position: Hinged at point B
- Angle: Positioned at a 60° angle from the horizontal
- **Pulley System:**
- Pulley with a 10,000-pound weight is attached to point A to prevent the gate from opening.
- **Water Pressure:**
- The water level is denoted by "h," the height from the base of the gate (point B) upward.
**Gate Specifications:**
- Width: 8 feet (into the paper)
- Material: 1-inch thick steel
- Specific Gravity (SG): 7.85
**Objective:**
Compute the water level "h" at which the gate will start to fail. The water is at a temperature of 20°C.
This setup is a practical mechanical scenario used to study the forces exerted by water pressure on submerged structures and to understand how these forces can lead to structural failure.
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