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Undrained Load Capacity of Torpedo Anchors in ... - laceo - UFRJ

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14000<br />

14000<br />

12000<br />

12000<br />

<strong>Load</strong> capacity (kN)<br />

10000<br />

8000<br />

6000<br />

4000<br />

2000<br />

0<br />

0.00m<br />

0.15m<br />

0.45m<br />

0.90m<br />

0 10 20 30 40 50 60 70 80 90<br />

Angle (degrees)<br />

Figure 17 – <strong>Load</strong> capacities for different flukes length<br />

consider<strong>in</strong>g a torpedo anchor with 4 flukes and soil B.<br />

Effect <strong>of</strong> the angle between the load direction and the plane <strong>of</strong><br />

the flukes<br />

FE meshes <strong>of</strong> an anchor with 4 flukes were constructed to<br />

evaluate the effect <strong>of</strong> the angle between the load and the plane<br />

<strong>of</strong> the flukes. Two sets <strong>of</strong> analyses were carried out: <strong>in</strong> the first<br />

group, called 45° analyses, loads were assumed to be at an<br />

angle <strong>of</strong> 45° with the plane <strong>of</strong> the flukes (plane 1, Fig. 11); <strong>in</strong><br />

the second group, called 0° analyses, loads were aligned with<br />

the flukes (plane 2, Fig. 11). Aga<strong>in</strong>, the anchor is supposed to<br />

be embedded <strong>in</strong> soil B.<br />

Figure 18 presents the estimated load capacities. From this<br />

figure, it is possible to observe that the load capacities for<br />

<strong>in</strong>cl<strong>in</strong>ations between 45° and 90° are equal, because, as po<strong>in</strong>ted<br />

out before, the failure mechanism is ruled by the vertical<br />

resistance <strong>of</strong> the anchor. For lower <strong>in</strong>cl<strong>in</strong>ations, the load<br />

capacities estimated for loads aligned with the flukes are<br />

slightly higher than the ones predicted when the loads are<br />

assumed to be between the flukes.<br />

Thus, the load angle with respect to the plane <strong>of</strong> the flukes<br />

does not alter the load capacity <strong>of</strong> the anchor. This po<strong>in</strong>ts to the<br />

conclusion that the lateral projected area <strong>of</strong> the anchor is not<br />

relevant to the total load capacity <strong>of</strong> the structure.<br />

<strong>Load</strong> capacity (kN)<br />

10000<br />

8000<br />

6000<br />

4000<br />

2000<br />

0<br />

0 10 20 30 40 50 60 70 80 90<br />

Angle (degrees)<br />

0°<br />

45°<br />

Figure 18 – <strong>Load</strong> capacities for different angles between the<br />

plane <strong>of</strong> the loads and the flukes. <strong>Torpedo</strong> anchor with 4<br />

flukes and soil B.<br />

CONCLUSIONS<br />

This paper presented a numerical based study on the<br />

undra<strong>in</strong>ed load capacity <strong>of</strong> a typical torpedo anchor embedded<br />

<strong>in</strong> a purely cohesive isotropic soil us<strong>in</strong>g a three-dimensional<br />

nonl<strong>in</strong>ear f<strong>in</strong>ite element (FE) model.<br />

In this model, the soil was simulated with solid elements<br />

capable <strong>of</strong> represent<strong>in</strong>g its nonl<strong>in</strong>ear physical behavior and the<br />

large deformations <strong>in</strong>volved. The torpedo anchor was also<br />

modeled with solid elements and its complex geometry was<br />

represented <strong>in</strong> detail. Moreover, the anchor-soil <strong>in</strong>teraction was<br />

addressed with contact f<strong>in</strong>ite elements that allow relative<br />

slid<strong>in</strong>g with friction between the surfaces <strong>in</strong> contact.<br />

Various analyses were conducted <strong>in</strong> order to understand the<br />

response <strong>of</strong> this type <strong>of</strong> anchor when different soil undra<strong>in</strong>ed<br />

shear strengths, load directions and number and width <strong>of</strong> flukes<br />

are considered.<br />

The obta<strong>in</strong>ed results po<strong>in</strong>ts to two different failure<br />

mechanisms:<br />

1. The first one mobilizes a great amount <strong>of</strong> soil and is<br />

directly related to its lateral resistance. This<br />

mechanism does not exhibit a clear load limit.<br />

2. The second one mobilizes a small amount <strong>of</strong> soil and<br />

is related to the vertical resistance <strong>of</strong> the soil. In this<br />

case, the load capacity is well characterized.<br />

Besides, the total contact area <strong>of</strong> the anchor and soil seems<br />

to be an important parameter <strong>in</strong> the determ<strong>in</strong>ation <strong>of</strong> its load<br />

capacity and, consequently, the <strong>in</strong>crease <strong>of</strong> the undra<strong>in</strong>ed shear<br />

strength and the number <strong>of</strong> flukes significantly <strong>in</strong>creases the<br />

load capacity <strong>of</strong> the torpedo anchor.<br />

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