ETL 1110-2-560
30 Jun 01
Table D-4
α/MTTF Ratio as a function of β (Reliability Analysis Center 1995)
β
α/MTTF
1
1.00
2
1.15
2.5
1.12
3.0
1.10
4.0
1.06
Table D-5
Reliability Analysis, Lock Miter Gate Machinery
Charac.
Failure
Life
Component/Block
Quan.
Failure
Weibull
Environmental
Mode
K Factor
*
Shape Factor, β
α/MTTF
α, Yrs
Rate
3
1.4054
misalignment
1.0
1.00
2
40.6131
Antifriction Bearing
2
1.6445
wear
3.0
1.10
2
38.1790
Brake
1
2.1000
jamming/misalign.
1.0
1.00
2
27.1798
Gear Reducer
1
5.0000
wear
3.0
1.10
2
12.5571
Plain Bronze Bearings
2
2.3811
wear
3.0
1.10
2
26.3682
Spur Gears
2
3.2232
wear
3.0
1.10
2
19.4792
Shafts
2
0.9298
1.0
1.00
2
61.3870
DUTY FACTOR, d
Years in Service (Equipment is installed at time 0)
0
5
10
15
20
25
30
35
40
45
50
Number of Cycles
12758
11799
12336
12514
12692
12841
12991
13249
13508
13754
14000
0.0971
0.0898
0.0939
0.0953
0.0966
0.0978
0.0989
0.1009
0.1029
0.1047
0.1066
RELIABILITY [R(t)] OF INDIVIDUAL COMPONENTS
Years in Service (Equipment is installed at time 0)
0
5
10
15
20
25
30
35
40
45
50
Year
1990
1995
2000
2005
2010
2015
2020
2025
2030
2035
2040
1.0000
0.9890
0.9771
0.9654
0.9535
0.9416
0.9295
0.9167
0.9037
0.8904
0.8770
Antifriction Bearings
1.0000
1.0000
1.0000
0.9999
0.9999
0.9997
0.9995
0.9992
0.9987
0.9981
0.9973
Brake
1.0000
0.9836
0.9660
0.9488
0.9314
0.9140
0.8966
0.8782
0.8595
0.8408
0.8219
Gear Reducer
1.0000
1.0000
0.9996
0.9985
0.9964
0.9927
0.9869
0.9780
0.9654
0.9485
0.9264
Plain Bronze Bearings
1.0000
1.0000
1.0000
0.9998
0.9996
0.9992
0.9986
0.9976
0.9962
0.9943
0.9918
Spur Gears
1.0000
1.0000
0.9999
0.9996
0.9990
0.9980
0.9965
0.9941
0.9906
0.9859
0.9797
Shafts
1.0000
0.9927
0.9848
0.9770
0.9690
0.9610
0.9528
0.9441
0.9352
0.9261
0.9168
HAZARD RATES [h(t)] OF INDIVIDUAL COMPONENTS
Year
1990
1995
2000
2005
2010
2015
2020
2025
2030
2035
2040
0.0246
0.0246
0.0246
0.0246
0.0246
0.0246
0.0246
0.0246
0.0246
0.0246
0.0246
Antifriction Bearings
0.0000
0.0000
0.0000
0.0001
0.0002
0.0003
0.0005
0.0007
0.0009
0.0012
0.0015
Brake
0.0368
0.0368
0.0368
0.0368
0.0368
0.0368
0.0368
0.0368
0.0368
0.0368
0.0368
Gear Reducer
0.0000
0.0003
0.0013
0.0031
0.0057
0.0091
0.0133
0.0189
0.0256
0.0336
0.0430
Plain Bronze Bearings
0.0000
0.0000
0.0001
0.0003
0.0006
0.0010
0.0014
0.0020
0.0028
0.0036
0.0046
Spur Gears
0.0000
0.0001
0.0004
0.0008
0.0015
0.0024
0.0036
0.0051
0.0069
0.0090
0.0115
Shafts
0.0163
0.0163
0.0163
0.0163
0.0163
0.0163
0.0163
0.0163
0.0163
0.0163
0.0163
RELIABILITY OF SYSTEM
[R (t)]
sys
Year
1990
1995
2000
2005
2010
2015
2020
2025
2030
2035
2040
1.0000
0.9376
0.8734
0.8127
0.7531
0.6952
0.6382
0.5791
0.5203
0.4624
0.4054
D-9
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