Two vats are connected by a submerged pipe with a square cross-section, as shown in Figure Q2. A hinged valve in the centre of the square pipe prevents the fluid in both vats mixing. The valve door is square and has a cross sectional area L x L, and the hinge is at the top of the door. The fluid depth in the first tank is h, and the depth in the second tank is h2. a) The fluid in vat 1 exerts a horizontal force, F,, on the valve door when it is closed. Express F, in terms of h,. b) The fluid in vat 1 exerts a moment, M,, on the valve door (acting about the hinge at the top of the door) when it is closed. Express M, in terms of h,. c) Considering the fluid in both vat 1 and vat 2, express the net moment on the door in terms of h, and h, when it is closed. d) If the valve can withstand a moment of M,max before opening, find the maximum possible height difference between the fluid in vats 1 and 2. h2 h1 Figure Q2: Two vats of water connected by a hinged door.
Two vats are connected by a submerged pipe with a square cross-section, as shown in Figure Q2. A hinged valve in the centre of the square pipe prevents the fluid in both vats mixing. The valve door is square and has a cross sectional area L x L, and the hinge is at the top of the door. The fluid depth in the first tank is h, and the depth in the second tank is h2. a) The fluid in vat 1 exerts a horizontal force, F,, on the valve door when it is closed. Express F, in terms of h,. b) The fluid in vat 1 exerts a moment, M,, on the valve door (acting about the hinge at the top of the door) when it is closed. Express M, in terms of h,. c) Considering the fluid in both vat 1 and vat 2, express the net moment on the door in terms of h, and h, when it is closed. d) If the valve can withstand a moment of M,max before opening, find the maximum possible height difference between the fluid in vats 1 and 2. h2 h1 Figure Q2: Two vats of water connected by a hinged door.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
Related questions
Question
pls ASAP i’ll upvote
Transcribed Image Text:Question 2
Two vats are connected by a submerged pipe with a square cross-section, as shown in
Figure Q2. A hinged valve in the centre of the square pipe prevents the fluid in both vats
mixing. The valve door is square and has a cross sectional area L x L, and the hinge is at
the top of the door. The fluid depth in the first tank is h, and the depth in the second tank
is hz.
a) The fluid in vat 1 exerts a horizontal force, F,, on the valve door when it is closed.
Express F, in terms of h,.
b) The fluid in vat 1 exerts a moment, M,, on the valve door (acting about the hinge at
the top of the door) when it is closed. Express M, in terms of h,.
c) Considering the fluid in both vat 1 and vat 2, express the net moment on the door in
terms of h, and h, when it is closed.
d) If the valve can withstand a moment of M,max before opening, find the maximum
possible height difference between the fluid in vats 1 and 2.
тах
h2
Figure Q2: Two vats of water connected by a hinged door.
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 1 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