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Nonlinear Finite Element Analysis of Concrete Structures

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premature failure load. However, if no or insignificant cracking<br />

occurs very large load increments can be utilized. In the examples<br />

considered in the following section load increments around<br />

2-4% <strong>of</strong> the ultimate load were employed.<br />

The failure load is determined as the load in which a large number<br />

<strong>of</strong> iterations is insufficient to satisfy both the constitutive<br />

equations and the static equilibrium. This means that large<br />

displacements occur corresponding to the maximum point on the<br />

forec-displacement curve having a horizontal tangent. In the<br />

present case 25 iterations are chosen as the limiting value.<br />

It should be recalled that in the standard version <strong>of</strong> the prograr,<br />

the shear retention factor n in cracked elements is r\ =<br />

0.01. Moreover, no dowel action <strong>of</strong> the reinforcement is considered,<br />

i.e., the value <strong>of</strong> K is < = 0.<br />

5. EXAMPLES OF ANALYSIS OF CONCRETE STRUCTURES<br />

While the previous sections have described in detail the theoretical<br />

basis <strong>of</strong> the AXIPLANE-program, the present section will<br />

treat examples <strong>of</strong> application <strong>of</strong> the program. In these examples,<br />

all <strong>of</strong> which represent realistic structures difficult to investigate<br />

by other theoretical means, a comparison with experimental<br />

evidence will be carried out, so that the applicability <strong>of</strong> the<br />

program can be evaluated. Moreover, apart from this obvious aspect<br />

much effort will be placed on investigating the structural<br />

behaviour <strong>of</strong> the analyzed concrete structures. In fact, the<br />

AXIPLANE-program <strong>of</strong>fers quite unique possibilities for gaining<br />

insight in the load carrying mechanism <strong>of</strong> concrete structures<br />

since not only is detailed information available throughout the<br />

loading history, but different assumptions can easily be incorporated<br />

enabling sensitivity studies to be carried out.<br />

These two objectives: (1) evaluation <strong>of</strong> the applicability <strong>of</strong> the

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