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Hydro-Mechanical Properties of an Unsaturated Frictional Material

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CHAPTER 10. BEARING CAPACITY OF A STRIP FOOTING ON UNSATURATED<br />

202<br />

HOSTUN SAND<br />

settlements. With increasing settlement the load <strong>an</strong>d also the stress are linearly increasing.<br />

With larger settlements this behavior becomes non-linear until reaching maximum value (i.e.<br />

ultimate bearing capacity), where the soil fails. After the failure the settlements are further<br />

increasing but the load <strong>an</strong>d the stress are decreasing. From the results clearly c<strong>an</strong> be seen,<br />

that the unsaturated specimens have a higher bearing capacity th<strong>an</strong> the saturated specimens.<br />

While the maximum load reached for the unsaturated specimen is Fmax = 19 kN, that refers<br />

to a stress <strong>of</strong> σmax = qu = 517 kN/m 2 , the maximum load <strong>of</strong> the air saturated (S=0) specimen<br />

is Fmax = 4.9 kN, that corresponds to a stress <strong>of</strong> σmax = qu = 132 kN/m 2 . The maximum<br />

value <strong>of</strong> the applied load <strong>an</strong>d the stress is reached for the unsaturated specimen for larger<br />

settlement value. The results show that the suction <strong>an</strong>d thus the water content in a s<strong>an</strong>d<br />

is strongly influencing the behavior <strong>of</strong> the bearing capacity <strong>of</strong> strip footings. The bearing<br />

capacity <strong>of</strong> the s<strong>an</strong>d tested under unsaturated condition was found to be approximately 2.5<br />

to 4 times higher then for the saturated specimen. The bearing capacity is increasing with<br />

increase in suction <strong>an</strong>d then after reaching <strong>an</strong> maximum value decreasing.<br />

10.5 Prediction <strong>of</strong> Bearing Capacity<br />

Following the proposal given by V<strong>an</strong>apalli & Mohamed (2007) the bearing capacity is es-<br />

timated using Eq. 10.3 <strong>an</strong>d compared to the experimental data. Therefore the drainage<br />

soil-water characteristic curve derived from the modified pressure plate apparatus for dense<br />

specimen, the bearing capacity factors derived by Terzaghi <strong>an</strong>d the shape factors derived from<br />

Eqs. 10.5 <strong>an</strong>d 10.6, a friction <strong>an</strong>gle <strong>of</strong> φ = 46.9 ◦ as well as <strong>an</strong> air-entry value <strong>of</strong> ψaev = 1.9 kPa<br />

were used, the average suction is equal to the suction observed by the tensiometer. The pa-<br />

rameter κ is set to 1. This equation takes the same form as Terzaghi’s equation shown in<br />

Eq. 10.1 without the surcharge contribution if (ua − uw) value is set to zero. The contri-<br />

bution <strong>of</strong> surcharge is not necessary in the present study as the model footing was loaded<br />

placing them directly on the s<strong>an</strong>d surface. Import<strong>an</strong>t parameters used for the prediction are<br />

also given in Tab. 10.1. In Fig. 10.8 the experimental results in comparison to the predicted<br />

results are shown. The prediction shows <strong>an</strong> increase <strong>of</strong> the bearing capacity with increas-<br />

ing suction, that is consistent with the experimental results. Overall observation is that the<br />

predicted values follow the trend <strong>of</strong> the experimental results. Whereas after reaching the air-<br />

entry value (tr<strong>an</strong>sition zone) the experimental results <strong>of</strong> bearing capacity are still increasing<br />

the predicted values are already decreasing. The experimental results are underestimated by<br />

the predicted results. In the residual zone a decrease <strong>of</strong> bearing capacity was observed by<br />

Table 10.1: Parameters used for prediction <strong>of</strong> bearing capacity<br />

Parameter ψaev φ Nc Nγ ξc ξγ<br />

1.9 kPa 46.9 ◦ 223 407 1 0.93

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