Homework Help is Here – Start Your Trial Now!
Engineering
Civil Engineering
If the gate is half filled by water (depth = R/2 as shown in the figure), determine the magnitude and direction of the resultant force R Hinge R/2

If the gate is half filled by water (depth = R/2 as shown in the figure), determine the magnitude and direction of the resultant force R Hinge R/2

Structural Analysis
Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
See similar textbooks
icon
Related questions
Question

Answer should be 14.66 degress and 0.484 gamma R^2 x W Please explain

### Problem Description If the gate is half filled by water (depth = R/2 as shown in the figure), determine the magnitude and direction of the resultant force. ### Diagram Explanation - The diagram illustrates a quadrant-shaped gate submerged in water. - The quadrant is part of a circle with radius \( R \). - The water fills half the gate, thus the water depth is \( R/2 \). - Points in the diagram: - \( A \): Top left corner of the gate. - \( B \): Bottom right corner of the gate, adjacent to the boundary. - \( C \): Top right corner where the gate is hinged. - The curved edge \( AB \) of the quadrant is submerged in water. - The hinge is located at corner \( C \). ### Additional Considerations - The water exerts hydrostatic pressure on the gate. - The problem asks to find both the magnitude and the direction of the resultant force applied by the water on the gate.
Transcribed Image Text:### Problem Description If the gate is half filled by water (depth = R/2 as shown in the figure), determine the magnitude and direction of the resultant force. ### Diagram Explanation - The diagram illustrates a quadrant-shaped gate submerged in water. - The quadrant is part of a circle with radius \( R \). - The water fills half the gate, thus the water depth is \( R/2 \). - Points in the diagram: - \( A \): Top left corner of the gate. - \( B \): Bottom right corner of the gate, adjacent to the boundary. - \( C \): Top right corner where the gate is hinged. - The curved edge \( AB \) of the quadrant is submerged in water. - The hinge is located at corner \( C \). ### Additional Considerations - The water exerts hydrostatic pressure on the gate. - The problem asks to find both the magnitude and the direction of the resultant force applied by the water on the gate.
Expert Solution
Step 1

Taking width as W 

steps

Step by step

Solved in 2 steps with 1 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Knowledge Booster
Hydrostatic forces
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
Structural Analysis
Civil Engineering
ISBN:
9781337630931
Author:
KASSIMALI, Aslam.
Publisher:
Cengage,
Structural Analysis (10th Edition)
Structural Analysis (10th Edition)
Civil Engineering
ISBN:
9780134610672
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Principles of Foundation Engineering (MindTap Cou…
Principles of Foundation Engineering (MindTap Cou…
Civil Engineering
ISBN:
9781337705028
Author:
Braja M. Das, Nagaratnam Sivakugan
Publisher:
Cengage Learning
Fundamentals of Structural Analysis
Fundamentals of Structural Analysis
Civil Engineering
ISBN:
9780073398006
Author:
Kenneth M. Leet Emeritus, Chia-Ming Uang, Joel Lanning
Publisher:
McGraw-Hill Education
Sustainable Energy
Sustainable Energy
Civil Engineering
ISBN:
9781337551663
Author:
DUNLAP, Richard A.
Publisher:
Cengage,
Traffic and Highway Engineering
Traffic and Highway Engineering
Civil Engineering
ISBN:
9781305156241
Author:
Garber, Nicholas J.
Publisher:
Cengage Learning
SEE MORE TEXTBOOKS