Subject Index
275
linear with constraints, 155
non-linear with constraints, 157,
269
numerial methods, 154
simplex method, 155
Optimization examples
compression spring, 159
cost function for rectangular
tank, 168
cost hot water pipe, 154
open tank, 158, 170
rectangular tank cost, 149
resistor for maxiumum power,
150
spherical steel tank, 3, 158, 172
torsional and bending spring,
161, 177
two dimensional function, 156
volume box inside ellipsoid, 153
Optimization goals
building or bridges, 148
flight vehicles, 146
instruments and optical sights,
148
petro chemical plants, 147
power and pump units, 147
ships or barges, 149
Parallel resistor equivalents
card sort, 56
coefficient of variation, 55
Gaussian mean, standard
deviation, 55
Parallel system, 203
Percent failures, 5, 10
Probability of failure, 39
(A + B),
(AB),
(A_),
(A),
(A/B),
(B/A),
Pf, card sort, 52
Radiator data, 24
Rainfall data, 14, 267
Range, 2, 13
Rayleigh distribution, 5
Regional constraints, 146
Reliability (constraint failure rate)
automotive gear box, 212
parallel components, 207
series components, 206
standby components, 208
water pump station, 208
Rotating beam fatigue limits
aluminium alloys, cast and
wrought, 91
cast and wrought steels, 89
magnesium alloys, 90
non-ferrous alloys, 90
titanium alloys, 92
Severity factor, KF, 233
Steel bolt tensile strength, 37
Series system, 203
Sorting from boxes, 43
Series-parallel system, 204
Stress or strain cycles in fatigue
low cycle fatigue-strain, 93, 96
polymers, 92
wood, 91
Sturges rule (Plotting),
Tension sample sizing
card sort diameters, 61
coupling equation, 61
safety device diameter, 61
safety factor, 61
structural member diameter, 61
tc life expectancy, 240
Titanium, 34
elongation, 35
modulus, 35