Civil Engineering Reference
In-Depth Information
The tensile force in the FRP reinforcement as a function of the neutral
axis depth, x, is
T
f3
(x) := A
f3
·E
f
·ε
f3
(x)
The neutral axis depth, cu, can be computed by solving the equation of
equilibrium C
c
- T
f
= 0:
Given: f
3
(x) := C
c3
(x) - T
f3
(x)
First guess: x
03
:= 0.1d
f3
c
u3
:= root(f
3
(x
03
), x
03
))
The neutral axis depth is
c
u3
= 0.63·in.
The nominal bending moment capacity can be computed as follows:
(
)
σ⋅
εε
ε
,y
c3
u3
2. "
c
c
u3
∫
c0
(
)
(
)
M:b
=⋅
y
⋅
psidyT c
+
⋅
dc
−=⋅⋅
7ftkip
n3
u3
u3
f3
f3
2
(
)
0
εε
ε
,y
c3
u3
1
+
c0
The strain distribution over the cross section is shown next.
ε
cu
= 0.003
ε
f3
(c
u3
) = 0.01404
A
f
d
f3
= 7
·
in
ε
c3
(c
u3
, c
u3
) = 0.0014
ε
fu
= 0.01404
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