Civil Engineering Reference
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wires or strands for ordinary prestressing and low-relaxation tendons, respec-
tively, whereas Expression (2.35) applies to hot-rolled and processed bars:
0 : 75 1 m
Class1 D s pr
t
1000
ð
Þ 10 5
39 r 1000 e 6 : 7 m
s pi ¼ 5
:
ð 2
:
33 Þ
1000 0 : 75 1 m
Class2 D s pr
t
ð
Þ 10 5
66 r 1000 e 9 : 1 m
s pi ¼ 0
:
ð 2
:
34 Þ
0 : 75 1 m
Class3 D s pr
t
1000
ð
Þ
98 r 1000 e 8 m
10 5
s pi ¼ 1
:
ð 2
:
35 Þ
where D
s pr is the absolute value of the relaxation losses of the prestress, s pi ;
for posttensioning, s pi is the absolute value of the initial prestress s pi ¼s pm0
and, for pretensioning, is the maximum tensile stress applied to the tendon
minus the immediate losses occurred during the stressing process; t is the
time after tensioning (in hours); m¼s pi / f pk where f pk is the characteristic
value of the tensile strength of the prestressing steel; and r 1000 is the value
of relaxation loss (in %), at 1000 h after tensioning and at a mean temperature
of 20 C. The long-term (final) values of the relaxation losses may be esti-
mated for a time t equal to 500,000 h (i.e., around 57 years).
The 0.1% proof stress ( f p0.lk ) and the specified value of the tensile strength
( f pk ) are defined as the characteristic value of the 0.1% proof load and the
characteristic maximum load in axial tension, respectively, divided by the
nominal cross-sectional area as shown in Figure 2.12 . According to EC2,
s
f pk
f p0.1k
e
e uk
0.1%
Figure 2.12 Stress-strain diagram for typical prestressing steel specified in EC2 [ 2.27 ] .
 
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