**2.38** A rectangular gate having a width of 4 ft is located in the sloping side of a tank as shown in Fig. P2.38. The gate is hinged along its top edge and is held in position by the force \( P \). Friction at the hinge and the weight of the gate can be neglected. Determine the required value of \( P \). --- **Figure Explanation:** The diagram illustrates a section of a tank with water, showing a sloped wall on which a rectangular gate is positioned. The gate is depicted as being hinged at its top edge. The diagram provides the following key features: - **Water level**: The water is shown filling a section of the tank against the gate. - **Hinge**: Labeled on the diagram as the point where the gate is pivoted. - **Gate dimensions**: The width is provided as 4 ft, with important distances labeled—6 ft from the hinge to the base of the gate, and 10 ft measured vertically along the slope from the water surface to the hinge location. - **Angle**: The slope of the tank wall is at a 60-degree angle with respect to the horizontal. - **Force \( P \)**: This horizontal force is shown acting perpendicularly at the bottom of the gate, holding it in place. The challenge is to calculate the necessary magnitude of force \( P \) to maintain the gate's position, given the configuration and conditions spelled out in the problem.
**2.38** A rectangular gate having a width of 4 ft is located in the sloping side of a tank as shown in Fig. P2.38. The gate is hinged along its top edge and is held in position by the force \( P \). Friction at the hinge and the weight of the gate can be neglected. Determine the required value of \( P \). --- **Figure Explanation:** The diagram illustrates a section of a tank with water, showing a sloped wall on which a rectangular gate is positioned. The gate is depicted as being hinged at its top edge. The diagram provides the following key features: - **Water level**: The water is shown filling a section of the tank against the gate. - **Hinge**: Labeled on the diagram as the point where the gate is pivoted. - **Gate dimensions**: The width is provided as 4 ft, with important distances labeled—6 ft from the hinge to the base of the gate, and 10 ft measured vertically along the slope from the water surface to the hinge location. - **Angle**: The slope of the tank wall is at a 60-degree angle with respect to the horizontal. - **Force \( P \)**: This horizontal force is shown acting perpendicularly at the bottom of the gate, holding it in place. The challenge is to calculate the necessary magnitude of force \( P \) to maintain the gate's position, given the configuration and conditions spelled out in the problem.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
Related questions
Question
Please explain in full detail and show how you found p
Transcribed Image Text:**2.38** A rectangular gate having a width of 4 ft is located in the sloping side of a tank as shown in Fig. P2.38. The gate is hinged along its top edge and is held in position by the force \( P \). Friction at the hinge and the weight of the gate can be neglected. Determine the required value of \( P \).
---
**Figure Explanation:**
The diagram illustrates a section of a tank with water, showing a sloped wall on which a rectangular gate is positioned. The gate is depicted as being hinged at its top edge. The diagram provides the following key features:
- **Water level**: The water is shown filling a section of the tank against the gate.
- **Hinge**: Labeled on the diagram as the point where the gate is pivoted.
- **Gate dimensions**: The width is provided as 4 ft, with important distances labeled—6 ft from the hinge to the base of the gate, and 10 ft measured vertically along the slope from the water surface to the hinge location.
- **Angle**: The slope of the tank wall is at a 60-degree angle with respect to the horizontal.
- **Force \( P \)**: This horizontal force is shown acting perpendicularly at the bottom of the gate, holding it in place.
The challenge is to calculate the necessary magnitude of force \( P \) to maintain the gate's position, given the configuration and conditions spelled out in the problem.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps with 2 images
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, civil-engineering and related others by exploring similar questions and additional content below.Recommended textbooks for you
Structural Analysis (10th Edition)
Civil Engineering
ISBN:
9780134610672
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Principles of Foundation Engineering (MindTap Cou…
Civil Engineering
ISBN:
9781337705028
Author:
Braja M. Das, Nagaratnam Sivakugan
Publisher:
Cengage Learning
Structural Analysis (10th Edition)
Civil Engineering
ISBN:
9780134610672
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Principles of Foundation Engineering (MindTap Cou…
Civil Engineering
ISBN:
9781337705028
Author:
Braja M. Das, Nagaratnam Sivakugan
Publisher:
Cengage Learning
Fundamentals of Structural Analysis
Civil Engineering
ISBN:
9780073398006
Author:
Kenneth M. Leet Emeritus, Chia-Ming Uang, Joel Lanning
Publisher:
McGraw-Hill Education
Traffic and Highway Engineering
Civil Engineering
ISBN:
9781305156241
Author:
Garber, Nicholas J.
Publisher:
Cengage Learning