The drag on an empty water tower due to a 50km/hr wind is to be determined through water tunnel testing using a 0.4m diameter sphere and a 0.2m diameter and 40cm tall circular cylinder. The model scale is 1:10. a) Which dimensionless number must be matched to achieve dynamic similitude? b) At what water speed (in m/s) should the model test be run? ) Estimate the acting forces on the model sphere and cylinder

Structural Analysis
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Author:KASSIMALI, Aslam.
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Chapter2: Loads On Structures
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The drag on an empty water tower due to a 50km/hr wind is to be determined through
water tunnel testing using a 0.4m diameter sphere and a 0.2m diameter and 40cm tall
circular cylinder. The model scale is 1:10.
a) Which dimensionless number must be matched to achieve dynamic similitude?
b) At what water speed (in m/s) should the model test be run?
c) Estimate the acting forces on the model sphere and cylinder.
d) What is the resulting moment at the bottom of the prototype (full-scale) tower?
D.
W
b+ D,12
F.
b
b/2
R
M
De
R,
Figure Q2: Water tower definition sketch (left) and acting resultant forces and
тотеnts (right)
Transcribed Image Text:The drag on an empty water tower due to a 50km/hr wind is to be determined through water tunnel testing using a 0.4m diameter sphere and a 0.2m diameter and 40cm tall circular cylinder. The model scale is 1:10. a) Which dimensionless number must be matched to achieve dynamic similitude? b) At what water speed (in m/s) should the model test be run? c) Estimate the acting forces on the model sphere and cylinder. d) What is the resulting moment at the bottom of the prototype (full-scale) tower? D. W b+ D,12 F. b b/2 R M De R, Figure Q2: Water tower definition sketch (left) and acting resultant forces and тотеnts (right)
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