Wall thickness for the concrete legs to float
Details of notations on page 51
Equation for floatation:
(L-1) [Edi78]30
Specific density equal 2.4 for concrete [Edi78]30, so inner-outer diameter ratio becomes:
Rewriting inner diameter in terms of outer diameter:
The thickness of a hollow cylinder is:
Minimum outer diameter to both allow buoyancy and to resist 100-year Atlantic wave:
Force from 100-year Atlantic wave = 40MN
Concrete grade = 55 MPa
Assuming post-tensioned to 20% of 55 MPa, so =0.2*55=11 MPa
(L-2)
(L-3)
Calculating velocity of sand particle in water
Details of notations on page 51
Stokes law for a sphere:
(M-1) [Tem53]31
For a sphere in water, the free body diagram will be such that the force pulling it down will equal to the drag force and buoyancy force together. In other words:
(M-2)
The buoyancy force will be the weight of displaced fluid, which depends on the volume taken up by the sphere. Volume of a sphere is:
(M-3)
So for buoyancy force, , where f is for fluid. (M-2) can therefore be re-written to:
This is re-arranged in the following steps, where p is short for particle:
(M-4)
For 0.5 mm diameter kiln sand with 2600 kg/m3 density for a silica crystal, its velocity in water where density is 998 kg/m3 and viscosity is 0.001 Pa*s is:
This means that Reynolds number is:
(M-5) [Sch79]32
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