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Technical Paper by A. Fakher and C.J.F.P. Jones WHEN THE ...

Technical Paper by A. Fakher and C.J.F.P. Jones WHEN THE ...

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FAKHER & JONES • When Bending Stiffness of Geosynthetic Reinforcement is Important<br />

Vertical stress under footing (N/mm)<br />

2.4<br />

2.0<br />

1.6<br />

1.2<br />

0.8<br />

0.4<br />

0.0<br />

f-29, I = 2.15e-6 f-20, I = 7.64 e-7<br />

f-26, I = 2e-7 f-27, I = 8.5e-8<br />

f-28, I = 1e-8 f-20, no reinf.<br />

f-20, cable<br />

0 5 10 15 20 25<br />

Vertical displacement (mm)<br />

Figure 3. The influence of the reinforcement bending stiffness on the displacement of the<br />

footing under different loads (values of I are in m 4 ).<br />

neering judgement. A constant value for the modulus of elasticity, E, was chosen for<br />

the reinforcement <strong>and</strong> the bending stiffness, EI, varied <strong>by</strong> varying the second moment<br />

of area, I. The results show that the higher the bending stiffness the higher the potential<br />

bearing capacity (Figure 3). This confirmed the conclusion derived from previous unitcell<br />

shear box studies <strong>and</strong> scale-model loading tests (<strong>Fakher</strong> et al. 1996; <strong>Fakher</strong> <strong>and</strong><br />

<strong>Jones</strong> 1996b; Zakaria 1994).<br />

3.1 Effect of Bending Stiffness of the Reinforcement<br />

The effect of the reinforcement bending stiffness on the bearing load is shown in Figure<br />

4 (when the vertical displacement/load width ratio, s/B = 0.3). It can be seen that<br />

the presence of any type of reinforcement, with or without bending stiffness, has an<br />

influence.<br />

The deformed shape of a geosynthetic reinforcing material modelled as a cable or a<br />

beam element with different stiffnesses, EI, is shown in Figure 5. An explanation for<br />

the deformed shape of the reinforcement is that, as the footing moves vertically, the<br />

adjacent super soft clay moves laterally. This results in ground surface heave adjacent<br />

to the footing. The displacement of the super soft clay <strong>and</strong> the heave is influenced <strong>by</strong><br />

the in plane stiffness of the reinforcement. When the bending stiffness of the reinforcement<br />

is high the heave is reduced <strong>and</strong> distributed over a wider area.<br />

450 GEOSYN<strong>THE</strong>TICS INTERNATIONAL • 2001, VOL. 8, NO. 5

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