As shown in Figure B2, a cylindrical steel structure (density p = 8000 kg/m³) loosely sits vertically on a flat concrete slab that is fixed at the bottom of the riverbed and in parallel to the river stream. The diameter and length of the cylindrical steel structure, which is fully immersed in the river stream, are 1 m and 6 m, respectively. The properties of water are given as density p = 1000 kg/m³ and viscosity µ = 1.0x10° N.s/m², respectively. The drag coefficient of the cylindrical steel structure can be taken as 0.5. It is assumed that i) the flow of river stream is steady; i) the ground effect around due to the slab on the river stream is negligible; ii) the acceleration due to gravity, g. can be taken as 10 m/s?. Determine the minimal speed of river stream, V, at which the cylindrical steel structure can be tipped over.

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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Question B2
As shown in Figure B2, a cylindrical steel structure (density pb = 8000 kg/m³) loosely sits vertically on
a flat concrete slab that is fixed at the bottom of the riverbed and in parallel to the river stream. The
diameter and length of the cylindrical steel structure, which is fully immersed in the river stream, are 1 m
and 6 m, respectively. The properties of water are given as density p = 1000 kg/m³ and viscosity µ =
1.0x103 N.s/m?, respectively. The drag coefficient of the cylindrical steel structure can be taken as 0.5.
It is assumed that i) the flow of river stream is steady; i) the ground effect around due to the slab on the
river stream is negligible; ii) the acceleration due to gravity, g. can be taken as 10 m/s?.
Determine the minimal speed of river stream, V, at which the cylindrical steel structure can be tipped
over.
V
H=6m
D=Im
Concrete
slab
River
bed
Figure B2
Transcribed Image Text:Question B2 As shown in Figure B2, a cylindrical steel structure (density pb = 8000 kg/m³) loosely sits vertically on a flat concrete slab that is fixed at the bottom of the riverbed and in parallel to the river stream. The diameter and length of the cylindrical steel structure, which is fully immersed in the river stream, are 1 m and 6 m, respectively. The properties of water are given as density p = 1000 kg/m³ and viscosity µ = 1.0x103 N.s/m?, respectively. The drag coefficient of the cylindrical steel structure can be taken as 0.5. It is assumed that i) the flow of river stream is steady; i) the ground effect around due to the slab on the river stream is negligible; ii) the acceleration due to gravity, g. can be taken as 10 m/s?. Determine the minimal speed of river stream, V, at which the cylindrical steel structure can be tipped over. V H=6m D=Im Concrete slab River bed Figure B2
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