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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