Civil Engineering Reference
In-Depth Information
Fig. 7.4 Transverse compression stresses in a con ned compression member
2 ? F L
D
2 ? t L ? E L ? ε ju
D
p 1
(7.4)
p 1 ? c
2 ?
t L ? E L ? ε ju t w ; eff ? f wy
2 ? F L F w
p 1 ? c
p 2
(7.5)
D c c
D c c
where:
t L theoretical thickness of fibre cross-section in CF sheet
E L modulus of elasticity of surface-mounted CF sheet relative to fibre cross-section
ε ju ultimate strain in fibre-reinforced material around member
t w,eff thickness of distributed con ning reinforcing steel
f wy yield strength of con ning reinforcing steel
c concrete cover
D diameter of reinforced concrete column
D c diameter of core area of column con ned by reinforcing steel.
The decrease in transverse compression Δ p can be determined by considering a section
I-I along the distributed reinforcing steel. The following applies:
Z π
D c
2 ? sin
2 ? t L ? E L ? ε ju
p 1
p 2
? c
p 1 Δ
p
?
φ ? d
φ
(7.6)
0
2 ? t L ? E L ? ε ju p 1 p 2
? c
Δ p p 1
(7.7)
D c
Concrete members in compression strengthened with fibre-reinforced materials exhibit
varying behaviour depending on the intensity of the confining effect. The fundamental
stress
strain curves shown in Figure 7.5 have been observed in experimental studies.
Curve (0) describes the behaviour of an unconfined concrete compression member
subjected to a uniaxial load in a short-term test with deformation control. Curve (1), for
con ned concrete, exhibits an only marginal increase in the maximum load. In a test
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