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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.

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