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Nonlinear Finite Element Analysis of Concrete Structures

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- 134 -<br />

Let us now consider the *~2 beam where shear re in forcessent is<br />

present and let us illustrate the behaviour <strong>of</strong> the beam with<br />

figures similar to figs. 4-7.<br />

Fig. 8 shews the stress distribution at 63% loading. As previously<br />

noted, loadings are expressed in relation to the predicted<br />

failure load. Comparison with fig. 4 reveals that no<br />

principal difference seems to exist for beams with and without<br />

shear reinforcement.<br />

Fig. 5.3-8: Isostress curves and directions <strong>of</strong> the principal<br />

stresses in the A-2 beam. Loading = 63% <strong>of</strong> predicted<br />

failure load. Quantities are in HPa.<br />

Fig. 9 shows the development <strong>of</strong> the contour lines for the nonlinearity<br />

index in per cent with increasing loading. A comparison<br />

with fig. 5 again reveals no principal difference in the<br />

behaviour <strong>of</strong> the two beams. For the A-2 beam also the region<br />

adjacent to the load point is severely loaded; strain s<strong>of</strong>tening<br />

initi -es here a little earlier than for the OA-2 beam namely<br />

at 63% loading, i.e. for the stress distribution shown in fig. 8<br />

and on fig. 9. At the failure load, this region is loaded far<br />

into the post-failure region and just like the OA-2 beam this<br />

situation is considered to be the primary reason for *he bear,<br />

collapse.

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