Index
A
absolute sum, 87, 88
acceleration, 224, 369, 370
spectral, 224
vector, 83, 88, 92, 224
additional weight, 22, 189, 193, 397, 398
anchor, 4
displacements, 6, 154
releases for hanger selection, 5
settlement, 6, 155
stiffness, 4
angle
valve, 401
animate
mode shape, 93
ANSI pipe sizes, 30, 334
API, 74, 378
API 560, 122
API 560 report, 122
API 610 report, 276, 281, 284
API 617 report, 74
API 650, 241, 245
API 661, 10, 276
API 661 report, 10
axes
elastic element, 95
local beam, 16
local coordinate system, 194
axial force, 127
axial stiffness, 239
B
ball joint, 12
friction, 236
rotation limit, 13
stiffness, 12
beam, 15
additional weight, 22
AISC library, 19
beta angle, 16
end releases, 16
load, 21
local coordinate system, 23
material, 16
orientation, 23
section, 17
bellows, 27
stiffness, 27
tie rods, 377
bend, 29
examples, 31
180° bend, 34
45° bend, 33
90° bend, 32
base supported, 42
flanged, 35
reducing, 38
supported by a hanger, 40
flexibility factor, 30
intermediate nodes, 31
long radius, 29, 30
material, 30
radius, 30, 357, 359, 360
short radius, 29, 30
SIF, 31, 38
tangent intersection point, 29
thickness, 30
bottomed-out springs, 372
branch connection
nonstandard, 394
branch line, 52, 150
branch SIF, 51
buried piping, 54
general procedure, 54
ground level, 57, 358, 360
nomenclature, 58
C
circumferential
joint factor, 214, 216, 220
stiffness, 242
closely spaced modes, 88
cold load, 160
cold spring, 71
comment, 73
compressor, 74
concentrated mass, 77
cone angle, 285, 286
connected node, 180, 331
hanger, 159
skewed restraint, 338
constant support, 78
user defined hanger, 381
coordinates, 150, 235
core pipe, 170, 175, 204, 363
core properties, 174
corrosion allowance, 333
cut pipe, 71
D
data types, 79
density, 219
design
hanger, 158
pressure, 191
temperature, 191
DIN pipe sizes, 30, 334
direction, 80
direction sum, 221
displacement vector, 83, 87
displacements
anchor, 5, 153
nozzle, 242
dynamic analysis, 83
closely spaced modes, 88
effective modal mass, 86
friction, 237, 239
modal analysis, 83
modal equations, 84
orthogonality, 84
participation factors, 85, 86
response spectrum, 87
support motion, 85
time history, 88
dynamic susceptibility, 93
environment variable, 93
method, 421
E
effective modal mass, 86
eigenvalues, 83
eigenvector, 83
normalized, 224
elastic element, 95
stiffness, 95
elbow, 29
element forces and moments
in local coordinate system, 196
element stresses
FRP, 118
environment variable
CPITER, 239
dynamic susceptibility, 93
HARTLEN, 93
exit, 239
expansion joints, 27, 96
bellows, 96, 98, 101
tied bellows, 96, 98, 101
F
fiber reinforced plastic piping (FRP), 119
flexibility factor, 119
moduli, 119
SIF, 119
siffness matrix, 119
flange, 124
allowable pressure, 125
equivalent pressure, 125
flange and bolt stresses, 132
gasket diameter, 125
library, 127
rating, 125
flange and bolt stresses, 132
flange module, 132
flexibility factor
bend, 30
FRP, 119
miter bend, 228
force, 143
force spectrum, 144
convert time function, 147
load, 147
read from a text file, 146
frequencies
closely spaced, 88
frequency
circular, 85, 86, 224
natural, 422
friction, 237
ball joint, 239
guide, 238
hinge joint, 238
in dynamic analysis, 237, 239
limit stop, 237
slip joint, 238
friction coefficient, 156, 181, 236, 372
friction force, 156, 178, 181, 237, 342
friction torque, 12, 164, 237, 238, 342
From node, 150
G
gasket diameter, 125
generic support, 152
global
coordinate system, 194
origin, 57, 403
guide
friction, 238
friction coefficient, 156
gap, 157
local coordinate system, 157
stiffness, 157
H
hanger, 158
below, 159
catalog, 160, 371
cold load, 159
connected node, 159
constant support, 78
design procedure, 160
hot load, 160
load variation, 160
manufacturer, 160
number of, 159
report, 332
rod, 331
short range, 159
stiffness, 159
to be designed, 158
travel, 160, 237, 372
type, 159
user, 381
harmonic analysis, 92
heat exchanger, 10, 122
hinge joint, 163
angular stiffness, 164
axis direction, 165
example, 165
friction, 238
friction torque, 164
rotational limit, 164
rotational stiffness, 164
Weight, 164
hydrotest
load, 168
load case, 169
I
input
new material, 216
insulation, 335
density, 335
thickness, 335
intermediate nodes, 31
internal nodes, 175
J
jacket end cap, 170
jacket pipe, 213
jacket properties, 174
jacketed bend, 173
internal nodes, 175
jacketed pipe, 172
internal nodes, 173
jacketed piping
jacketed bend, 173
jacketed reducer, 175
JIS pipe sizes, 30, 334
joint factor, 220
circumferential, 220
longitudinal, 216, 220
K
knuckles
reducer, 287
L
lateral tee, 53
left out force, 224
limit stop, 178
friction, 237
nonlinearities, 236
solution procedure, 236
lining, 335
load
additional weight, 193
Design pressure, 192
pressure, 191
snow, 193
specific gravity, 193
static seismic-ANSI A58.1-1988, 369
static seismic-ASCE/SEI 7-16, 364
temperature, 191
wind, 193
load cases
cold spring, 71
force spectrum, 147
hydrotest, 169
loads
acceleration, 370
force spectrum, 145
local coordinate system, 194
element forces and moments, 196
for a beam, 23
for a bend, 196
for a guide, 157
for a pipe, 194
local forces, 197
location, 204
logarithmic interpolation, 87
long radius, 29, 30
longitudinal
joint factor, 216, 220
pressure stress, 220
longitudinal stiffness, 242
M
material
create library, 20, 221
define, 213
density, 219
description, 219
input, 216
name, 219
selectr from library, 218
type, 219
missing mass correction, 224
miter bend
closely spaced, 228
flexibility factor, 228
modeling procedure, 229
parameters, 228
widely spaced, 227, 228
modal analysis, 83
modal displacements, 84
N
node, 235
internal, 175
list coordinates, 235
specifying coordinates, 235
nominal diameter, 334
nonlinearities, 236
ball joint, 239
friction, 237
guide, 238
hinge joint, 238
limit stop, 237
misconvergence, 239
number of iterations, 239
slip joint, 238
types, 236
nonstandard
branch connection, 394
pipe, 334
nozzle, 241
axial stiffness, 242
circumferential stiffness, 242
coordinate system, 242
displacements, 245
example
on a cylindrical vessel, 246, 247
on a flat-bottom storage tank, 248
longitudinal stiffness, 242
on a cylindrical vessel, 241
reinforcing pad, 244
settlement, 246
Nozzle Evaluation, 250
NRC Guide 1.92, 88
number of modes, 224
number of thermal loads, 22, 190
O
occasional load, 149
P
pad thickness, 51
participation factor, 85, 86, 224
period, 87
pipe skirt, 372
pipe slide assembly, 372
pipe slide/shoe assembly, 184
Poisson’s ratio, 219
pressure
gauge, 191
negative, 191
pump, 276
R
reducer, 285
concentric, 285
example, 287
cone angle, 285, 286
delta, 287
eccentric, 285
example, 289
example
concentric, 287
eccentric, 289
jacketed, 290
knuckles, 287
stresses, 287
weight, stiffness and stress calculation, 287
reducing tee, 52
releases for hanger selection, 5
relief valve, 401
report
flange, 130
response spectrum, 87
restraint, 325
stiffness, 325
rigid body force, 224
rigid element, 329
stiffness, 329
weight, 329
rod hanger, 331
stiffness, 331
rotation limit
ball joint, 13
hinge joint, 164
S
section, 333
ANSI pipe sizes, 334
corrosion allowance, 334
DIN pipe sizes, 334
insulation, 335
JIS pipe sizes, 334
lining, 335
mill tolerance, 334
name, 334
nominal diameter, 334
nonstandard, 334
schedule, 334
section modulus, 334
settlement
anchor, 6, 155
nozzle, 246
shear
area, 18
deflection, 18
shear deflection, 18
short radius, 29, 30
SIF
branch, 51
FRP, 119
reducer, 286
user, 394
weld, 409
sign conventions, 196
skewed restraint, 337
connected node, 339
direction, 338
example
sway brace, 339
rotational, 338
stiffness, 338
translational, 338
type, 338
slip joint, 342
friction, 238
friction force, 342
friction torque, 342
pressure thrust area, 342
snow load, 22, 189, 193
snubber, 345
stiffness, 345
Soil, 355
specific gravity, 193
spectrum
direction sum, 221
spider, 363
spring rate, 78, 160, 332, 381
SRSS, 87
stiffness
anchor, 4
ball joint, 13
bellows, 27
elastic element, 95
guide, 157
hanger, 159
hinge joint, 164
limit stop, 181
nozzle, 241
reducer, 287
restraint, 325
rigid element, 329
rod hanger, 331
snubber, 345
tie rod, 377
user hanger, 381
valve, 398
stiffness matrix, 83, 88, 92, 160, 236, 238
FRP, 119
stresses
FRP, 120
occasional, 334
reducer, 287
sustained, 334
support motion, 85
supports
anchor, 371
generic, 152
guide, 372
hangers, 371
limit stop, 372
restraint, 371
skewed restraint, 371
sway brace, 337, 339, 371
sway struts, 337, 371
T
tangent intersection point, 29, 196
tee
SIF, 51
Tee, 374
tensile strength, 220
thermal loads, 6, 154, 190, 246
tie rod, 377
stiffness, 377
time history, 88
turbine, 378
U
u-bolt, 372
user hanger, 381
constant support, 381
load, 381
spring rate, 381
stiffness, 381
user SIF, 394
u-strap, 372
V
valve, 397
additional weight, 398
angle, 401
calculation of moment of inertia, 401
insulation weight X, 398
length, 398
library, 399
relief, 401
stiffness, 398
thickness X, 398
weight, 397
velocity vector, 88
W
weight multiplier, 401
weld, 409
wind, 410
wind load, 193, 402
WRC 297, 241
Y
Y factor, 219
Z
zero length element, 12, 163