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Nonlinear Finite Element Analysis of Concrete Structures

Nonlinear Finite Element Analysis of Concrete Structures

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the load point for both beams. For the beam without shear reinforcement,<br />

horizontal splitting along the tension reinforcement<br />

was observed. The failure was characterized as diagonal tension<br />

failure for the OA-2 beam and shear-compression failure for the<br />

A-2 beam.<br />

The uniaxial compressive strength o and the modulus <strong>of</strong> rupture<br />

a , were experimentally determined from concrete specimens<br />

cured in the same manner as the beams. The splitting strengths<br />

are estimated from these rupture values using the findings <strong>of</strong><br />

Narrow and Ullberg (1963). The o /a -values given in table 1 are<br />

then obtained by approximating splitting strength and uniaxial<br />

tensile strength o.. The assumptions for the remaining parameters<br />

necessary for the constitutive model appear also from this table.<br />

Table 5.3-1: Measured and assumed concrete parameters<br />

Measured<br />

Assumed<br />

c<br />

[MPa]<br />

mod.<br />

[MPa]<br />

E. e<br />

i<br />

c<br />

a /a [loViPa] v. [%] D<br />

OA-2<br />

A-2<br />

23.7 4.3<br />

24.3 3.7<br />

0.10 3.1 0.2 2 0.1<br />

0.08 3.1 0.2 2 0.1<br />

The finite element mesh consists <strong>of</strong> 1008 triangular plane stress<br />

elements and is shown in fig. 3. Even though no systematic investigations<br />

were performed, this detailed element mesh is moti-<br />

Fig. 5.3-3: <strong>Finite</strong> element mesh.

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