A 4 m long quarter clrcular gate of radius 3 m and of negligible weight is hinged about Its upper edge A, as shown in figure below. The gate controls the flow of water over the edge at B, where the gate is pressed by a spring. The water level rises to A at the upper edge of the gate. Assume: i 3 m' 1. The hinge is frictionless. • Spring 2. The weight of the gate is negligible. 3. Density of water = 1000 kg/m 4. g=9.81 m/s? The minimum spring force (in kN) required to keep the gate closed is
A 4 m long quarter clrcular gate of radius 3 m and of negligible weight is hinged about Its upper edge A, as shown in figure below. The gate controls the flow of water over the edge at B, where the gate is pressed by a spring. The water level rises to A at the upper edge of the gate. Assume: i 3 m' 1. The hinge is frictionless. • Spring 2. The weight of the gate is negligible. 3. Density of water = 1000 kg/m 4. g=9.81 m/s? The minimum spring force (in kN) required to keep the gate closed is
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
Related questions
Question
![A 4m long quarter clrcular gate
of radius 3 m and of negligible weight is hinged about Its
upper edge A, as shown in figure below. The gate controls
the flow of water over the edge at B, where the gate is
pressed by a spring. The water level rises to A at the upper
edge of the gate.
3 m
Assume:
1. The hinge is frictionless.
2. The weight of the gate is negligible.
3. Density of water = 1000 kg/m3
4. g= 9.81 m/s?
The minimum spring force (in kN) required to keep
the gate closed is
• Spring](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0010a848-bf68-4a88-8f15-38b27a873ef6%2F30be1928-2fbb-4f84-8002-4496a2c9d2a6%2F6ts7zft_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A 4m long quarter clrcular gate
of radius 3 m and of negligible weight is hinged about Its
upper edge A, as shown in figure below. The gate controls
the flow of water over the edge at B, where the gate is
pressed by a spring. The water level rises to A at the upper
edge of the gate.
3 m
Assume:
1. The hinge is frictionless.
2. The weight of the gate is negligible.
3. Density of water = 1000 kg/m3
4. g= 9.81 m/s?
The minimum spring force (in kN) required to keep
the gate closed is
• Spring
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
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
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
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](https://compass-isbn-assets.s3.amazonaws.com/isbn_cover_images/9781337630931/9781337630931_smallCoverImage.jpg)
![Structural Analysis (10th Edition)](https://www.bartleby.com/isbn_cover_images/9780134610672/9780134610672_smallCoverImage.gif)
Structural Analysis (10th Edition)
Civil Engineering
ISBN:
9780134610672
Author:
Russell C. Hibbeler
Publisher:
PEARSON
![Principles of Foundation Engineering (MindTap Cou…](https://www.bartleby.com/isbn_cover_images/9781337705028/9781337705028_smallCoverImage.gif)
Principles of Foundation Engineering (MindTap Cou…
Civil Engineering
ISBN:
9781337705028
Author:
Braja M. Das, Nagaratnam Sivakugan
Publisher:
Cengage Learning
![Structural Analysis](https://compass-isbn-assets.s3.amazonaws.com/isbn_cover_images/9781337630931/9781337630931_smallCoverImage.jpg)
![Structural Analysis (10th Edition)](https://www.bartleby.com/isbn_cover_images/9780134610672/9780134610672_smallCoverImage.gif)
Structural Analysis (10th Edition)
Civil Engineering
ISBN:
9780134610672
Author:
Russell C. Hibbeler
Publisher:
PEARSON
![Principles of Foundation Engineering (MindTap Cou…](https://www.bartleby.com/isbn_cover_images/9781337705028/9781337705028_smallCoverImage.gif)
Principles of Foundation Engineering (MindTap Cou…
Civil Engineering
ISBN:
9781337705028
Author:
Braja M. Das, Nagaratnam Sivakugan
Publisher:
Cengage Learning
![Fundamentals of Structural Analysis](https://www.bartleby.com/isbn_cover_images/9780073398006/9780073398006_smallCoverImage.gif)
Fundamentals of Structural Analysis
Civil Engineering
ISBN:
9780073398006
Author:
Kenneth M. Leet Emeritus, Chia-Ming Uang, Joel Lanning
Publisher:
McGraw-Hill Education
![Sustainable Energy](https://www.bartleby.com/isbn_cover_images/9781337551663/9781337551663_smallCoverImage.gif)
![Traffic and Highway Engineering](https://www.bartleby.com/isbn_cover_images/9781305156241/9781305156241_smallCoverImage.jpg)
Traffic and Highway Engineering
Civil Engineering
ISBN:
9781305156241
Author:
Garber, Nicholas J.
Publisher:
Cengage Learning