For fully submerged: - compare the results of W x r with the calculated values of F x (Xcp + hs). - give reasons for discrepancies. - what can you obtain from the relationship of the graph? Does the experiment confirm the results of computed values of the magnitude and location of the total hydrostatic force?
For fully submerged: - compare the results of W x r with the calculated values of F x (Xcp + hs). - give reasons for discrepancies. - what can you obtain from the relationship of the graph? Does the experiment confirm the results of computed values of the magnitude and location of the total hydrostatic force?
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
Related questions
Question
100%
HYDROSTATIC FORCE ON PLANE SURFACE
can someone help me analyze this experiment?
For fully submerged:
- compare the results of W x r with the calculated values of F x (Xcp + hs).
- give reasons for discrepancies.
- what can you obtain from the relationship of the graph? Does the experiment confirm the results of computed values of the magnitude and location of the total hydrostatic force?
![for a fully submerged surface:
F = = √yb[(h+d)² + h²]
2
Xep - (3h² +3hd+d²) (2h+d)
=
3
for a partially submerged surface:
here:
F
Xcp
Y
h
d
do
where:
W
r
F
Xcp
hs
F-Vbd²
=
Taking moments about the fulcrum,
Xcp
=
2
3d
total force on the end face of the quadrant, [kN]
depth of the center of pressure, [m or mm]
unit weight of the fluid, [kN/m²]
height of the submerged portion of the end face of the quadrant, [m or mm]
d = do, if the end face of the quadrant is fully submerged
height of the end face of the quadrant, [m or mm]
eq. 2
vertical height from the water surface to the top of the quadrant plane surface, [m or mm
h = 0, if the end face of the quadrant is partially submerged only
Wr = F(xcp +hs)
weight applied at the end of the lever arm, [kN]
perpendicular distance from the hanger to the fulcrum, [m or mm]
total force on the end face of the quadrant, [kN]
depth of the center of pressure, [m or mm]
vertical height from the water surface to the fulcrum, [m or mm]
eq. 3
eq. 4
eq. 5
eq. 6](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc91beade-9729-4bed-93b5-a690a61abffc%2F331682dd-42d6-43a2-b1ab-4a4f1482bc5a%2Fho75owm_processed.jpeg&w=3840&q=75)
Transcribed Image Text:for a fully submerged surface:
F = = √yb[(h+d)² + h²]
2
Xep - (3h² +3hd+d²) (2h+d)
=
3
for a partially submerged surface:
here:
F
Xcp
Y
h
d
do
where:
W
r
F
Xcp
hs
F-Vbd²
=
Taking moments about the fulcrum,
Xcp
=
2
3d
total force on the end face of the quadrant, [kN]
depth of the center of pressure, [m or mm]
unit weight of the fluid, [kN/m²]
height of the submerged portion of the end face of the quadrant, [m or mm]
d = do, if the end face of the quadrant is fully submerged
height of the end face of the quadrant, [m or mm]
eq. 2
vertical height from the water surface to the top of the quadrant plane surface, [m or mm
h = 0, if the end face of the quadrant is partially submerged only
Wr = F(xcp +hs)
weight applied at the end of the lever arm, [kN]
perpendicular distance from the hanger to the fulcrum, [m or mm]
total force on the end face of the quadrant, [kN]
depth of the center of pressure, [m or mm]
vertical height from the water surface to the fulcrum, [m or mm]
eq. 3
eq. 4
eq. 5
eq. 6
Transcribed Image Text:Table 2. Fully submerged
Trial
No.
4
5
6
mass
(g)
270
320
370
W xr (N. mm)
1200
1000
800
600
400
200
0
hs =
d (mm) h (mm)
200-h-d
100
15
85
100 26.5 73.5
100
40
60
740:05
776.02
F (N)
4.77
5.61
6.6
F*(Xcp+
hs)
(mm) (N-mm) W (N)
Xcp
77.82 776.02 2.65
87.39 902.51 3.14
99.26 1050.99
Fully submerged
877.09
902.51
Fx (xcp+hs)
(N. mm)
(N-mm) ce
740.05 4.86
877.09 2.9
3.63 1014.14 3.63
1014.14
W*r Differen
1050.99
Figure 2. Between the measured and predicted values of the above expressions, the values are plotted with
Fx(xcp +hs) as abscissa and Wxr as ordinates.
Expert Solution
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 3 steps with 11 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