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Hudson's equation, also known as Hudson formula, is an equation used by coastal engineers to calculate the minimum size of riprap (armourstone) required to provide satisfactory stability characteristics for rubble structures such as breakwaters under attack from storm wave conditions.
A set of equations describing the trajectories of objects subject to a constant gravitational force under normal Earth-bound conditions.Assuming constant acceleration g due to Earth's gravity, Newton's law of universal gravitation simplifies to F = mg, where F is the force exerted on a mass m by the Earth's gravitational field of strength g.
In this formula: H s = Significant wave height at the toe of the construction Δ = relative density of the stone (= (ρ s-ρ w)/ρ w) where ρ s is the density of the stone and ρ w is the density of the water d n50 = nominal stone diameter α = breakwater slope P = notional permeability S = Damage number N = number of waves in the storm
The stone or stone weight (abbreviation: st.) [1] is an English and British imperial unit of mass equal to 14 avoirdupois pounds (6.35 kg). [ nb 1 ] The stone continues in customary use in the United Kingdom and Ireland for body weight .
In France it used to be defined as 100 livres (pounds), about 48.95 kg (108 lb), and has been redefined as 100 kg (mesures usuelles), thus called metric quintal with symbol qq. In Spain , the quintal is still defined as 100 libras , or about 46 kg (101 lb), but the metric quintal is also defined as 100 kg; [ 3 ] In Portugal a quintal is 128 ...
The kilogram, symbol kg, is the SI unit of mass. It is defined by taking the fixed numerical value of the Planck constant h to be 6.626 070 15 × 10 −34 when expressed in the unit J⋅s, which is equal to kg⋅m 2 ⋅s −1, where the metre and the second are defined in terms of c and Δν Cs. —
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The specific weight, also known as the unit weight (symbol γ, the Greek letter gamma), is a volume-specific quantity defined as the weight W divided by the volume V of a material: = / Equivalently, it may also be formulated as the product of density, ρ, and gravity acceleration, g: = Its unit of measurement in the International System of Units (SI) is newton per cubic metre (N/m 3), with ...