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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?

Structural Analysis
Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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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
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
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.
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.
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