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7/23/2019 Initial Equation
http://slidepdf.com/reader/full/initial-equation 1/2
Initial equation[edit]
The equation itself is:
where:
• W is the design weight of the riprap armour (Newton)
• is the specific weight of the armour blocks (N/m3)
• H is the design wae height at the toe of the structure (m)
• K D is a dimensionless stabilit! coefficient" deduced from laborator! e#periments for different kinds of armour blocks and for er! small
damage (a few blocks remoed from the armour la!er) ($):
• K D % around 3 for natural quarr! rock
• K D % around &' for artificial interlocking concrete blocks
• Δ is the dimensionless relatie buo!ant densit! of rock" ie (ρr / ρw - 1) % around &* for granite in sea water
• ρr and ρw are the densities of rock and (sea)water ($)
• θ is the angle of reetment with the hori+ontal
Updated equation[edit]
This equation was rewritten as follows in the nineties:
where:
• H s is the design significant wae height at the toe of the structure (m)
• Δ is the dimensionless relatie buo!ant densit! of rock" ie (ρr / ρw - 1) % around &* for granite in sea water
• ρr and ρw are the densities of rock and (sea)water ($)
• Dn50 is the nominal median diameter of armour blocks % (W 50 /ρr )1/3 (m)
• K D is a dimensionless stabilit! coefficient" deduced from laborator! e#periments for different kinds of armour blocks and for
er! small damage (a few blocks remoed from the armour la!er) ($):
• K D % around 3 for natural quarr! rock
• K D % around &' for artificial interlocking concrete blocks
7/23/2019 Initial Equation
http://slidepdf.com/reader/full/initial-equation 2/2
• θ is the angle of reetment with the hori+ontal
The armour blocks ma! be considered stable if the stability number N s = H s / Δ Dn50 , & to -" with damage rapidl! increasing
for Ns . 3
biousl!" these equations ma! be used for preliminar! design" but scale model testing (-0 in wae flume" and 30 in wae
basin) is absolutel! needed before construction is undertaken