A triangular gate 1.20m base and 1.80m high is placed on the face of a dam as shown in the figure. Its base is hinged and the vertex is attached to a cylindrical buoy whose weight is 440 N. The external diameter of the buoy is 1.2m and the weight of the gate is 880 N. The mechanism is such that the buoy will open the gate if the water surface will rise higher than 4m. If yH,0 = 9.79 kN/m³ %3D J440 N a. Compute the hydrostatic force acting normal to the gate. b. Compute the location of the normal force from the hinge of the gate. Hinged 3m c. What is the length of the cable when the gate is about to open? 4m 1.20m- 880 N 1.80m
A triangular gate 1.20m base and 1.80m high is placed on the face of a dam as shown in the figure. Its base is hinged and the vertex is attached to a cylindrical buoy whose weight is 440 N. The external diameter of the buoy is 1.2m and the weight of the gate is 880 N. The mechanism is such that the buoy will open the gate if the water surface will rise higher than 4m. If yH,0 = 9.79 kN/m³ %3D J440 N a. Compute the hydrostatic force acting normal to the gate. b. Compute the location of the normal force from the hinge of the gate. Hinged 3m c. What is the length of the cable when the gate is about to open? 4m 1.20m- 880 N 1.80m
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
Related questions
Question
![A triangular gate 1.20m base and 1.80m high is placed on the face of a dam as shown in the figure. Its
base is hinged and the vertex is attached to a cylindrical buoy whose weight is 440 N. The external
diameter of the buoy is 1.2m and the weight of the gate is 880 N. The mechanism is such that the buoy
will open the gate if the water surface will rise higher than 4m. If YH,0 = 9.79 kN/m³
%3D
1440 N
a. Compute the hydrostatic force acting normal to the gate.
b. Compute the location of the normal force from the hinge
of the gate.
Hinged
3m
c. What is the length of the cable when the gate is about to
open?
4m
-1.20m
880 N
1.80m](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F426bf6b9-cdf4-4cbc-a548-70a9f6859945%2Faf594aec-815b-46a4-a96b-93e219dcb293%2Fs9gk3zt_processed.png&w=3840&q=75)
Transcribed Image Text:A triangular gate 1.20m base and 1.80m high is placed on the face of a dam as shown in the figure. Its
base is hinged and the vertex is attached to a cylindrical buoy whose weight is 440 N. The external
diameter of the buoy is 1.2m and the weight of the gate is 880 N. The mechanism is such that the buoy
will open the gate if the water surface will rise higher than 4m. If YH,0 = 9.79 kN/m³
%3D
1440 N
a. Compute the hydrostatic force acting normal to the gate.
b. Compute the location of the normal force from the hinge
of the gate.
Hinged
3m
c. What is the length of the cable when the gate is about to
open?
4m
-1.20m
880 N
1.80m
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.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 6 steps with 6 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
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