Civil Engineering Reference
In-Depth Information
Table 2.4 Correction constants DE for round strand ropes with 6- and 8-strands of one, two and
three wire layers
Rope condition
Rope core
Correction constant
6-strands
8-strands
Wire layers
Wire layers
1
2
3
1
2
3
New
Fibre core
16
0
-1
14
-2
-3
Steel core
15
0
-1
-2
-17
-18
Ten times loaded
Fibre core
11
0
-3
8
-3
-6
Steel core
11
0
-2
0
-11
-13
Fibre core = NFC, SFC; steel core = IWRC, PWRC, ESWRC, EFWRC
Results:
From (
2.50
) and (
2.52
)
E
S
(r
lower
, r
upper
) = E
S
(100; 220) = 98 kN/mm
2
Alternative from tables:
From Table
2.3
the rope elasticity module for a rope IWRC + 6 9 19 is
E
S
(100; 200) = 107 kN/mm
2
and E
S
(100; 300) = 113 kN/mm
2
and as a middle
value E
S
(100; 220) = 108 kN/mm
2
.
From Table
2.4
the correction constant for 8-strand ropes is DE = -11 kN/mm
2
.
This means that with (
2.53
), the rope elasticity module for the wire rope
IWRC + 8 9 19 is E
S
(100; 250) = 110 - 11 = 97 kN/mm
2
. Nearly the same as
98 kN/mm
2
.
According to Table
2.1
, the standard deviation is s = 10 kN/mm
2
.
2.2.4 Waves and Vibrations
2.2.4.1 Longitudinal Waves
If a long wire rope receives a shock load, a tensile force wave (strain wave) moves
along the wire rope starting from the initial point of impact. The velocity of the
wave is
s
E
q
c ¼
ð
2
:
54
Þ
with E for the elasticity module and q for the mass density. For a single wire with,
for example, E = 196,000 N/mm
2
= 196,000 9 10
6
N/m
2
and q = 7,800 kg/
m
3
= 7,800 N s
2
/m
4
the velocity of the wave is
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