ETL 1110-2-560
30 Jun 01
Table D-6
Reliability Analysis, Lock Tainter Valve Machinery
Charac.
Life
Component/Block
Quan.
Failure Failure
Weibull
Environmental
Mode
K Factor
*
Shape Factor, β
α/MTTF
α, Yrs
Rate
4
1.4054 misalignment
1.0
1.00
2
40.6131
Ball 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
Roller Bearings
4
2.8201 wear
3.0
1.10
2
22.2635
Shafts
3
0.9298 fracture
1.0
1.00
2
61.3870
Wire Rope Drums
2
Information not Available
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
Ball Bearing
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
Roller Bearings
1.0000
1.0000
0.9999
0.9997
0.9993
0.9987
0.9976
0.9960
0.9937
0.9906
0.9864
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
Ball Bearing
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
Roller Bearings
0.0000
0.0001
0.0002
0.0006
0.0010
0.0016
0.0024
0.0034
0.0046
0.0060
0.0077
Shafts
0.0163
0.0163
0.0163
0.0163
0.0163
0.0163
0.0163
0.0163
0.0163
0.0163
0.0163
sys(t)]
RELIABILITY OF SYSTEM
[R
Year
1990
1995
2000
2005
2010
2015
2020
2025
2030
2035
2040
1.0000
0.9205
0.8405
0.7666
0.6960
0.6292
0.5655
0.5016
0.4402
0.3820
0.3268
D-10
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