Nonlinear Finite Element Analysis of Concrete Structures
Nonlinear Finite Element Analysis of Concrete Structures
Nonlinear Finite Element Analysis of Concrete Structures
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- 128 -<br />
305<br />
#4 bar<br />
#9<br />
bars<br />
# 2 bar<br />
??1<br />
4572<br />
-A<br />
beam 0A-2 beam A-2<br />
Fig. 5.3-1: Geometry, loading and reinforcement arrangements for<br />
the beam without shear reinforcement (OA-2) and the<br />
beam with shear reinforcement (A-2).<br />
corresponding to a reinforcement percent = 2.27%, while the com-<br />
2<br />
pressive steel consists <strong>of</strong> two #4 bars (nominal area = 126 mm )<br />
corresponding to a reinforcement percent = 0.18%. Also the<br />
stirrup reinforcement consisting <strong>of</strong> #2 bars (nominal area = 32<br />
2<br />
mm ) corresponds to arrangements <strong>of</strong>ten found in practice and the<br />
same holds for the shear span ratio = 4.94. The trilinear approximations<br />
to the stress-strain curves <strong>of</strong> the bars are shown in<br />
fig. 2<br />
Experimentally, it was observed that diagonal cracks developed<br />
and splitting occurred at failure in the compressive zone near<br />
1000<br />
800<br />
1 1<br />
1<br />
- is<br />
1<br />
• i<br />
1 I T<br />
# 9 bars<br />
' 1<br />
~ 600<br />
a.<br />
- 400<br />
200<br />
0<br />
i<br />
./ #4 bars<br />
-* si # 2 bars<br />
experimental<br />
trilinear approximation<br />
i • i i i i i<br />
i 1<br />
40 80 120 160 200<br />
[°/oo]<br />
Fig. 5.3-2: Reinforcement stress-strain curves. Tensile, compressive<br />
and shear reinforcement consist <strong>of</strong> #9,<br />
#4, and #2 bars, respectively.