Constituent Materials and Properties - Strengthening Design of Reinforced Concrete with FRP - page 54

Solution:

Using Tables 3.2 and 3.3,

E

1 =

72.40.640.4 × +× = 45.04 GPa

72.44 ×

E = = 9.235 GPa mechanicsofmaterials)

2

0.4 × 72.40.6 + × 4

72.44 1
72.4/41 0.895
110.895

−
+

η= =

= +× ×
−

0.6

E ×= 4 13.28 GPa (Halpin-Tsai)

2

10.895 × 0.6

ν= ×+×= 0.22 0.60.370.4 0.28 12

ν= 0.057 (mechanicsofmaterials)

21

ν= 0.0826 (Halpin-Tsai)

21

72.4
21.22

G = = 29.67 GPa f

( )

4
21.37

G = = 1.46 GPa

m

( )

29.67 × 1.46

G = = 3.4GPa (mechanicsofmaterials) 12

0.4 29.67 0.61.46

× + ×

29.67 1.46 1
29.67 /1.461 0.906
110.906

−
+

η= =

= +× ×
−

0.6

G × 1.46 = 4.94 GPa (Halpin-Tsai) 12

10.906 × 0.6

Comparetotypical numbers of E-GFRP epoxy with 60% fiber (Table 3.7)

E = 45 GPa 1

E = 12 GPa

2

ν= 0.28

12

ν= 0.075 21

G = 5.5GPa 12

3.7 PROPERTIES OF FRP COMPOSITES (TENSION)
FRP composites provide stiffness and strength along the fiber direction in tension,
and they behave linearly elastic along that direction up to brittle material failure or
rupture, as shown in Figure 3.9. On the other hand, the behavior along the matrix
or transverse direction and in-plane shear is generally nonlinear. The behavior
along the transverse direction could be approximated as linear elastic up to matrix