norm

Stiff-to-Rigid

y

Wall

Global Axis

par

Vnorm

θ

s

l Axi

Loca

VoxVy

Voy

Vx

x

θ

Vpar

(Fw)max = 0.435(mvsinθ)

(Average)

(Fw)max = 0.435(mvsinθ)+85.328

(Average + SE)

(Fw)max = 0.435(mvsinθ)-85.328

(Average - SE)

impact force normal to the wall. This correlation is based on low-velocity, shallow-impact (up to

21.1 deg) experiments that, by definition, do not account for factors that manifest themselves at higher

velocities. Additionally, no damage occurred to the barge train, and no lashings broke during these eight

impact experiments. Therefore, it is deemed that this empirical method is applicable to a barge train that

has a velocity normal to the wall up to and not exceeding 0.17 m/sec (0.57 ft/sec (0.6 km/hr (0.39 mph)))

with no damage occurring during impact events, for impact angles up to 21.1 deg, for a barge train with a

linear momentum normal to the wall between 2.9 and 4.6 MN-sec (649.84 and 1,025.48 k-sec). The

equation to determine the maximum force normal to the wall using the empirical correlation is

(*F*w)max = 0.435**m**(*V*0*x **sin θ + *V*0*y *∗ cos θ)

where the units for the mass, velocity, and maximum *F*w are k-sec2/ft, ft/sec, and kips, respectively. Note

that no hydrodynamic added mass is assigned to *m *when using this relationship.

E-2

Integrated Publishing, Inc. |