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Pile Design and Construction Practice, Fifth edition

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402 Piling for marine structures<br />

If the rear of the deck is abutting a retaining wall such as a sheet pile wall, virtually the<br />

whole of the horizontal forces on the deck will be transmitted to the wall.<br />

Where medium to large vessels are accommodated the berthing impact is not absorbed<br />

directly by a pile or by a deck structure supported by piles. Means are provided to cushion<br />

the blow, thus reducing the risk of damaging the ship, <strong>and</strong> limiting the horizontal movement<br />

of the jetty. It is also more economical during design to provide cushioning devices than to<br />

absorb forces directly on the structure. It must be noted that whereas independent berthing<br />

dolphins can be allowed to deflect over a considerable distance (<strong>and</strong> large deflections are the<br />

most efficient means of absorbing kinetic energy), the deck slab of a cargo jetty cannot be<br />

permitted to move to an extent which would cause instability in travelling cranes, stacked<br />

containers or mechanical elevators. This limitation restricts the allowable movement of such<br />

cargo jetties to a very small distance.<br />

Where energy absorbing fenders are provided, the work equation 8.4 is modified. Taking the<br />

simplified case shown in Figure 8.4 of a fender pile backed by a cushion block transmitting<br />

the impact to a bent of piles transverse to the berthing line, the work equation becomes<br />

kinetic energy of moving ship absorbed by system in Figure 8.4<br />

� 1<br />

2 � H ��� 1<br />

2 � H(� 1 �� 2)<br />

(8.6)<br />

where H is the impact force of the first blow on the fender, � is the distance moved in<br />

bringing the ship to rest after the first impact, � 1 is the distance moved by the compression<br />

of the cushion block, <strong>and</strong> � 2 is the distance moved by the pile bent.<br />

In a practical design case a limit is placed on � 2 by the operating conditions on the jetty.<br />

Then if the cushion block is to be fully compressed by the ship moving at the maximum<br />

design approach velocity, � 1 is known <strong>and</strong> � is the sum of � 1 <strong>and</strong> � 2. Hence, knowing<br />

the kinetic energy of the moving ship, the impact force H can be calculated. This force<br />

is the sum of the force in the cushion block <strong>and</strong> the shearing force at the head of the pile.<br />

The bending moment induced in the fender pile by the action of force H over distance � is<br />

compared with the moment of resistance of the selected pile, <strong>and</strong> the energy absorbing<br />

capacity of the cushion block is checked to ensure that the force required for full compression<br />

is not exceeded by the force H. The condition shown in Figure 8.4, of a single fender pile<br />

transmitting the full force of a moving ship to a single pile bent, does not occur in practice.<br />

In a cargo jetty the fender piles are spaced at equal distances along the berthing face <strong>and</strong> the<br />

impact is absorbed by a number of piles, depending on the closeness of their spacing, <strong>and</strong><br />

Cushion block<br />

fully compressed<br />

∆ 2<br />

∆ 1<br />

∆ =∆ 1 + ∆ 2<br />

Point of<br />

first impact<br />

Cushion block<br />

uncompressed<br />

Fender pile<br />

Figure 8.4 Energy absorption of fender pile cushioned at head.<br />

H

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