CAESAR II Version 5.
2 Quick Reference Guide 
Copyright  1985-2009 COADE, Inc.  All Rights Reserved.  
CAESAR II Quick Reference Guide Table of Contents 
CAESAR II Quick Reference Guide Version 5.20  2 
CAESAR II Software  2 
CAESAR II Pipe Stress Seminars  3 
System Requirements  3 
Troubleshooting  4 
CAESAR II Interfaces  4 
Piping Codes  5 
Restraints  7 
Setup File Directives List  8 
List of Materials  13 
CAESAR II Intersection Types  14 
Code Stresses  15 
US Codes  15 
International Codes  20 
Node Locations on Bends  28 
CAESAR II Verification and Validation Manual  30 
Additional COADE Software Programs  31 
CAESAR II Quick Reference Guide 2
CAESAR II Quick Reference Guide Version 5.20 
The CAESAR II Quick Reference Guide is intended to aid users in quickly 
identifying needed information and to resolve common questions and 
problems.  This Reference Guide is distributed with each copy of the 
software and users are urged to copy the Reference Guide as 
necessary. 
Comments and suggestions concerning CAESAR II, the User Guide, or 
the Quick Reference Guide are always welcome.  Users with problems, 
questions, or suggestions can contact the COADE Development/Support 
staff at: techsupport@coade.com.  
CAESAR II Software 
CAESAR II is an advanced PC based tool for the engineer who designs or 
analyzes piping systems.  CAESAR II uses input spreadsheets, on-line 
help, graphics, and extensive error detection procedures to facilitate 
timely operation and solution.   
CAESAR II is capable of analyzing large piping models, structural steel 
models, or combined models, both statically and dynamically.  ASME, 
B31, WRC, and rotating equipment reports combine to provide the 
analyst with a complete description of the piping systems behavior 
under the applied loading conditions.  Additional technical capabilities 
such as out-of-core solvers, force spectrum analysis (for water hammer 
and relief valve solutions),  time history, and large rotation rod hangers 
provide the pipe stress engineer with the most advanced computer 
based piping program available today. 
CAESAR II is continuously enhanced to incorporate new technical 
abilities, to provide additional functionality, and to modify existing 
computation procedures as the piping codes are updated.  A complete 
list of the most recent changes to CAESAR II can be found in the 
Chapter 1 of the User Guide.  Users wanting software sales are urged 
to contact the COADE Sales staff at: 
Phone: 281-890-4566  E-mail: sales@coade.com 
FAX: 281-890-3301  Web: http://www.coade.com/product_overview.asp?varflag=CAESARII 
3 CAESAR II Quick Reference Guide
CAESAR II Pipe Stress Seminars 
COADE offers seminars periodically to augment the Engineers 
knowledge of CAESAR II and Pipe Stress Analysis.  The general seminar 
is held in our Houston office and covers five days of Statics. Twice 
yearly we also cover five days of Statics and three days of Dynamics.  
These seminars emphasize the piping codes, static analysis, dynamic 
analysis, and problem solving. 
Custom seminars held at client locations are also available.  For 
additional seminar details, please contact the COADE Support staff at: 
seminars @coade.com.  
System Requirements 
CAESAR II requires Windows XP Professional or Windows Vista with a 
minimum graphic card capability of 1280x1024 resolution.  However, for 
more efficient use of the software, higher graphics resolutions are 
necessary.   Usually any hardware capable of running these operating 
systems will be sufficient to run CAESAR II. For effective use of CAESAR II,
COADE recommends as a minimum configuration: 
 2+ Ghz processor 
 1+ Gbytes of RAM 
 1280x1024 graphics resolution or better 
 256+ Mbytes of video RAM 
 Windows XP Professional or Windows Vista 
Please note that Windows XP Home Edition and Windows Vista Home 
(Basic and Premium) is not supported. 
CAESAR II Quick Reference Guide 4
Troubleshooting 
For troubleshooting and problem solving issues, refer to the CAESAR II 
Frequently Asked Questions (FAQ) located on the COADE Website. To 
view the FAQ: 
(http://www.coade.com/product_faq.asp?varflag=CAESARII&varflagmas
ter=. 
CAESAR II Interfaces 
There are several external interfaces which allow data transfer between 
CAESAR II and other software packages. Users can access these 
interfaces via the Tools menu on the CAESAR II Main Menu.
CADWorx  requires AUTOCAD 
AUTOCAD   DXF Output 
COMPUTER VISION  mainframe 
INTERGRAPH  mainframe 
CADPIPE  requires AUTOCAD 
ISOMET  mainframe 
PDMS  mainframe 
PCF  Alias format 
Users interested in these interfaces should contact COADE for further 
information. We anticipate other interfaces in the future keep users 
updated via the newsletter or revised documentation.  
5 CAESAR II Quick Reference Guide
Piping Codes 
Use the table displayed below to identify the Piping Code, publication 
and/or revision date.  
PIPING CODE  PUBLICATION DATE  REVISION DATE 
ANSI B31.1  (2007)  December 7, 2006 
ANSI B31.3  (2006)   May 31, 2007 
ANSI B31.4   (2006)  October 20, 2006 
ANSI B31.4 Chapter IX   (2006)  October 20, 2006 
ANSI B31.5   (2001)  May 30, 2005 
ANSI B31.8   (2007)  November 30, 2007 
ANSI B31.8 Chapter VIII  (2007)  November 30, 2007 
ANSI B31.11  (2002)  May 30, 2003 
ASME SECT III CLASS 2  (2007)  July 1, 2008 
ASME SECT III CLASS 3   (2007)  July 1, 2008 
U.S. NAVY 505   (1984)  N/A 
CANADIAN Z662   (6/2003)    N/A 
CANADIAN Z662 Ch 11  (6/2003)  N/A 
BS 806   SEPTEMBER 1993 ISSUE 1,  N/A 
SWEDISH METHOD 1  2
ND
 EDITION STOCKHOLM 1979  N/A 
SWEDISH METHOD 2  2
ND
 EDITION STOCKHOLM 1979  N/A 
ANSI B31.1   (1967)    N/A 
STOOMWEZEN   (1989)  N/A 
RCC-M C   (1988)  N/A 
RCC-M D   (1988)  N/A 
CODETI   (2001)  June 2004 
NORWEGIAN   (1999)  N/A 
FDBR    (1995)  N/A 
BS7159    (1989)  N/A 
CAESAR II Quick Reference Guide 6
PIPING CODE  PUBLICATION DATE  REVISION DATE 
UKOOA  (1994)  N/A 
IGE/TD/12  (2003)  N/A 
DnV  (1996)  N/A 
EN-13480  (12/2006)  Issue 9 
GPTC/Z380  (2003)  December 2007 
PD 8010 Part 1  (2004)  N/A 
PD 8010 Part 2  (2004)  N/A 
ISO-14692  (2005)  N/A 
JPI  (2002)  2004 
HPGSL  (2005)  N/A 
7 CAESAR II Quick Reference Guide
Restraints 
CAESAR II stores restraint information on 16 different restraint types. 
Restraint Type  Abbreviation 
Anchor  A 
Translational Double Acting   X,Y, or Z 
Rotational Double Acting  RX, RY, or RZ 
Guide, Double Acting   GUI 
Double Acting Limit Stop  LIM 
Translational Double Acting Snubber  XSNB, YSNB, ZSNB 
Translational Directional  +X, -X, +Y, -Y, +Z, -Z 
Rotational Directional  +RX, -RX, +RY, etc. 
Directional Limit Stop  +LIM, -LIM 
Large Rotation Rod  XROD, YROD, ZROD 
Translational Double Acting Bilinear  X2, Y2, Z2 
Rotational Double Acting Bilinear  RX2, RY2, RZ2 
Translational Directional Bilinear  -X2, +Y2, -Y2, etc. 
Rotational Double Acting Bilinear  -RX2, +RY2, - RY2, etc. 
Bottom Out Spring  XSPR, YSPR, ZSPR 
Directional Snubber  +XSNB, -XSNB, +YSNB, etc. 
CAESAR II Quick Reference Guide 8
Setup File Directives List 
The following list represents the possible directives which can be 
controlled by the user via the CAESAR II configuration file CAESAR.CFG.  
These directives can be changed by the user through the use of the 
CONFIGURE-SETUP program, accessed via Main Menu option #9.  
Directives are listed in groups corresponding to the configuration 
program's menu options.  
GEOMETRY DIRECTIVES 
CONNECT GEOMETRY THRU CNODES =  YES  34 
MIN ALLOWED BEND ANGLE =  .5000000E+01  36 
MAX ALLOWED BEND ANGLE =    .9500000E+02   37 
BEND LENGTH ATTACHMENT PERCENT =   .1000000E+01   38 
MIN ANGLE TO ADJACENT BEND PT =  .5000000E+01  39 
LOOP CLOSURE TOLERANCE =  .1000000E+01  42 
THERMAL BOWING HORIZONTAL TOLERANCE =  .1000000E-03  92 
AUTO NODE NUMBER INCREMENT=  1000000E+02  109 
Z AXIS UP  NO  129 
COMPUTATION CONTROL 
USE PRESSURE STIFFENING =  DEFAULT  65 
ALPHA TOLERANCE =  .5000000E-01  33 
HANGER DEFAULT RESTRAINT STIFFNESS =  .1000000E+13   49 
DECOMPOSITION SINGULARITY TOLERANCE =   .1000000E+11  50 
BEND AXIAL SHAPE =   YES  51 
FRICTION STIFFNESS =   .1000000E+07  45 
FRICTION NORMAL FORCE VARIATION =  .1500000E+00  47 
FRICTION ANGLE VARIATION =  .1500000E+02  48 
FRICTION SLIDE MULTIPLIER =   .1000000E+01  46 
ROD TOLERANCE =  .1000000E+01  59 
ROD INCREMENT =  2000000E+01  58 
9 CAESAR II Quick Reference Guide
COMPUTATION CONTROL 
INCORE NUMERICAL CHECK =  NO  60 
DEFAULT TRANSLATIONAL RESTRAINT STIFFNESS =   .1000000E+13  98 
DEFAULT ROTATIONAL RESTRAINT STIFFNESS =  .1000000E+13  99 
IGNORE SPRING HANGER STIFFNESS =   NO  100 
MISSING MASS ZPA =   EXTRACTED  101 
MINIMUM WALL MILL TOLERANCE =   .1200000E+02  107 
WRC-107 VERSION  =   MAR 79 1B1/2B1  119 
WRC-107 INTERPOLATION  =   LAST VALUE  120 
INCLUDE_INSULATION_IN_HYDROTEST=  NO  147 
AMBIENT TEMPERATURE  =  70.00  135 
BORDER PRESSURE  =  NONE  136 
COEFFICIENT OF FRICTION  =  0.  140 
INCLUDE SPRING STIFFNESS IN FREE THERMAL 
CASES  = 
NO  141 
SIFs and STRESSES 
REDUCED INTERSECTION =   B31.1 POST 1980  32 
USE WRC329   NO  62 
NO REDUCED SIR FOR RFT AND WLT  NO  53 
B31.1 REDUCED  Z FIX =   YES  54 
CLASS 1 BRANCH FLEXIBILITY  NO  55 
ALL STRESS CASES CORRODED =   NO  35 
ADD TORSION IN SL STRESS =   DEFAULT  66 
ADD F/A IN STRESS =   DEFAULT  67 
OCCASIONAL LOAD FACTOR =   .00000E+00  41 
DEFAULT CODE =  B31.3  43 
B31.1 SUSTAINED CASE SIF FACTOR =  100000E+01  40 
ALLOW USERS BEND SIF =  NO  52 
USE SCHNEIDER    NO  63 
YIELD CRITERION STRESS  =  MAX 3D SHEAR  108 
CAESAR II Quick Reference Guide 10
SIFs and STRESSES 
USE PD/4T  NO  64 
BASE HOOP STRESS ON   NO  57 
EN-13480 use in-plane /out-plane SIF  NO  133 
LIBERAL ALLOWABLE  =  YES  137 
STREE STIFFENING DUE TO PRESS =  NO  138 
B31.3 WELDING/CONTOUR TEE MEET B16.9  NO  139 
IMPLEMENT _B31.3_ APPENDIX_P  NO  144 
IMPLEMENT _B31.3_ CODECASE  NO  145 
B31.3 Sec 319.2.3(c), Saxial  NO  146 
PRESSURE VARIATION IN EXPANSION CASE 
DEFAULT= 
DEFAULT  143 
FRP PROPERTIES 
USE FRP SIF =  YES  110 
USE FRP FLEXIBILITY =  YES  11 
BS 7159 PRESSURE STIFFENING =   DESIGN STRAIN  121 
FRP PROPERTY DATA FILE =   CAESAR.FRP  122 
AXIAL MODULUS OF ELASTICITY  3200000E+07  113 
RATIO SHEAR MOD : AXIAL MOD =  2500000E+00  114 
AXIAL STRAIN : HOOP STRESS  1527272E+00  115 
FRP LAMINATE TYPE =   THREE  116 
FRP ALPHA =   .1200000E+02  117 
FRP DENSITY =   .6000000E-01  118 
EXCLUDE F2 FROM BENDING STRESS UKOOA  NO  134 
11 CAESAR II Quick Reference Guide
PLOT  COLORS 
PIPES   LIGHTCYAN  1 
HIGHLIGHTS  GREEN  2 
LABELS  GREEN  3 
BACKGROUND  BLACK  5 
AXES   LIGHTRED  15 
HANGER/NOZZLES  BROWN  16 
RIGID/BENDS   LIGHTGREEN  17 
NODES YELLOW  YELLOW  18 
STRUCTURE  LIGHTRED  31 
DISPLACED SHAPE  BROWN  30 
STRESS  > LEVEL 5  RED  24 
STRESS  > LEVEL 4  YELLOW  25 
STRESS  > LEVEL 3  GREEN  26 
STRESS  > LEVEL 2  LIGHTCYAN  27 
STRESS  > LEVEL 1  BLUE  28 
STRESS  < LEVEL 1  DARKBLUE  29 
STRESS LEVEL 5  .3000000E+05  19 
STRESS LEVEL 4  .2500000E+05  20 
STRESS LEVEL 3  .2000000E+05  21 
STRESS LEVEL 2  .1500000E+05  22 
STRESS LEVEL 1  .1000000E+05  23 
CAESAR II Quick Reference Guide 12
DATABASE DEFINITIONS 
STRCT DBASE  =   AISC89.BIN  70 
VALVE & FLANGE =  CADWORX.VHD  90 
EXPANSION JT DATABASE =  PATHWAY.JHD  91 
PIPING SIZE SPECIFICATION =   ANSI   88 
DEFAULT SPRING HANGER TABLE =   1  112 
SYSTEM DIRECTORY NAME =   SYSTEM  123 
UNITS FILE NAME =   .ENGLISH.FIL  124 
LOAD CASE TEMPLATE =   .LOAD.TPL  142 
ENABLE ODBC OUTPUT  NO  128 
APPEND RE-RUNS TO EXISTING DATA  NO  126 
ODBC DATABASE NAME  <NONE>  127 
MISCELLANEOUS COMPUTATIONS 
OUTPUT REPORTS BY LOAD CASE  YES  87 
DISPLACEMENT NODAL SORTING  YES  89 
DYNAMIC INPUT EXAMPLE TEXT  MAX  94 
TIME HIST ANIMATE  YES  104 
OUTPUT TABLE OF CONTENTS  ON  105 
INPUT FUNCTION KEYS DISPLAYED  YES  106 
MEMORY ALLOCATED  12  NA 
USER ID  "   "  NA   
DISABLE _UNDO   NO  128 
13 CAESAR II Quick Reference Guide
List of Materials 
The CAESAR II Material Table contains 17 different isotropic materials.  
Properties and allowed temperature ranges for each isotropic material 
are listed below.  
Material No. Material Name   Elastic    
Modulus 
Poisson's     
Ratio 
Pipe Density      
(lb./cu.in) 
Temperature       
Range  F 
1 Low Carbon Steel  29.5 E6  0.292  0.28993  -325      1400  
2 High Carbon Steel  29.3 E6  0.289  0.28009  -325      1400 
3 Carbon Moly Steel  29.2 E6  0.289  0.28935  -325      1400 
4 Low Chrome Moly Steel  29.7 E6  0.289  0.28935  -325      1400 
5 Med Chrome Moly Steel  30.9 E6  0.289  0.28935  -325      1400 
6 Austenitic Stainless  28.3 E6  0.292  0.28930  -325      1400 
7 Straight Chromium  29.2 E6  0.305  0.28010  -325      1400 
8 Type 310 Stainless  28.3 E6  0.305  0.28990  -325      1400 
9 Wrought Iron  29.5 E6  0.300  0.28070  -325      1400 
10  Grey Cast Iron  13.4 E6  0.211  0.25580    70       1000
11  Monel 67% Ni/30% Cu  26.0 E6  0.315  0.31870  -325      1400 
12  K-Monel  26.0 E6  0.315  0.30610  -325      1400 
13  Copper Nickel  22.0 E6  0.330  0.33850  -325      1400 
14  Aluminum   10.2 E6  0.330  0.10130  -325        600 
15  Copper 99.8% Cu  16.0 E6  0.355  0.32270    70         400
16  Commercial Brass  17.0 E6  0.331  0.30610  -325      1200 
17  Leaded Tin Bronze 1  14.0 E6  0.330  0.31890  -325      1200 
Additionally CAESAR II supports material types 18 or 19 for cut short and 
cut long cold spring elements. Material number 20 activates the 
CAESAR II Orthotropic Material Model (i.e., Fiber-glass reinforced 
plastic pipe); the default coefficient of expansion is 12.0 E-6 in./in./F.  
Material 21 indicates user-defined properties.  Material numbers over 
100 are from the Material Database and include the allowable stress 
and other piping code data.  
CAESAR II Quick Reference Guide 14
CAESAR II Intersection Types 
The table below displays intersection types used in CAESAR II.
Type  B31.3 Type  Notes  Sketch 
1 Reinforced  Reinforced Fabricated Tee 
Used to lower SIFs 
Not a fitting  
Modified pipe 
2 Unreinforced  Unreinforced Fabricated Tee
Routine intersection  
Not a fitting 
Modified pipe 
Usually the cheapest 
3 Welded Tee  Welding Tee 
Usually size-on-size 
Governed by B16.9 
Usually the lowest SIF 
Usually expensive 
4 Sweepolet  Welded-in Contour Insert 
Sit-in fitting 
Forged fittings on a pipe 
5 Weldolet  Branch Welded on Fitting  
"Sit-on" fitting 
Forged fittings on a pipe 
6 Extruded  Extruded Welding Tee 
Seldom used 
Used for thick wall manifolds 
Extruded from straight pipe 
15 CAESAR II Quick Reference Guide
Code Stresses 
Listed below are the Code Stress equations for the actual and allowable 
stresses used by CAESAR II. For the listed codes, the actual stress is 
defined by the left hand side of the equation and the allowable stress is 
defined by the right hand side.  The CAESAR II load case label is also 
listed after the equation. 
Typically the load case recommendations made by CAESAR II are 
sufficient for code compliance.  However, CAESAR II does not 
recommend occasional load cases.  Occasional loads are unknown in 
origin and must be specified by the user.  
US Codes 
Stress 
Longitudinal Pressure Stress - Slp 
Slp = PD
0
/4t
n
code approximation 
Slp = PD
i
2
/(D
0
2
- D
i
2
) code exact equation CAESAR II default 
Operating Stress - unless otherwise specified      
S = Slp + Fax/A + Sb + torque <  NA     (OPE)  
ASME SECT III CLASS 2 & 3  
(   )
  |   |
   |
\   .
 Z
B1  Pmax Do
Ma
2tn Z
+B2     1.5Sh
(SUS)   
i Mc / Z < f (1.25 Sc + 0.25 Sh) + Sh -Sl  (EXP) 
B1 * Slpmax + B2 *  (Ma + Mb) / Z < 1.8 Sh and < 1.5 Sy  (OCC)  
B31.1  
Sl = Slp + 0.75 i Ma / Z < Sh  (SUS) 
i Mc / Z <  f [ 1.25 (Sc+Sh) - Sl ]  (EXP) 
Slp + 0.75 iMa / Z + 0.75 iMb / Z <  k Sh  (OCC)  
CAESAR II Quick Reference Guide 16
B31.1 (1967) and Navy Section 505  
Sl = Slp + sqrt(Sb
2
+ 4 St
2
) < Sh   (SUS) 
sqrt( Sb
2
+ 4 St
2
) < f (1.25Sc + 0.25Sh + (Sh-Sl))   (EXP) 
Slp + sqrt(Sb
2
+ 4 St
2
) < k Sh   (OCC)  
B31.3  
Sl = Slp + Fax/A + Sb < Sh  (SUS)   
sqrt (Sb
2
+ 4 St
2
) < f [1.25 (Sc+Sh) - Sl]  (EXP) 
Fax/A + Sb + Slp < k Sh  (OCC) 
Sb = [sqrt ((i
i
M
i
)
2
+ (i
0
M
0
)
2
)]/Z      
B31.4  
If FAC = 1.0 (fully restrained pipe)   
FAC | Eo dT - v S
HOOP
| + S
HOOP  
< .9 (Syield) (OPE)   
If FAC = 0.001 (buried, but soil restraints modeled) 
Fax/A - v S
HOOP
 + Sb + S
HOOP  
< 0.9 (Syield)  (OPE) 
If FAC = 0.0 (fully above ground)   
Slp + Fax/A + Sb + S
HOOP
 < 0.9 (Syield)  (OCC) 
(If Slp + Fax/A is compressive)   
Slp + Fax/A + Sb < (1.75) (0.72) (Syield)  (OPE) 
(If Slp + Fax/A is tensile)   
(Slp + Sb + Fax/A) (1.0 - FAC) < (0.75) (0.72) (Syield)  (SUS) 
sqrt ( Sb
2
+ 4 St
2
) < 0.72 (Syield)  (EXP)       
(Slp + Sb + Fax/A) (1.0 - FAC) < 0.8 (Syield)   (OCC)  
B31.4 Chapter IX  
Hoop Stress:  S
h
 s F
1
S
y
(OPE, SUS, OCC)  
Longitudinal Stress:  |S
L
| s 0.8 S
y
(OPE, SUS, OCC) 
Equivalent Stress:  S
e
 s 0.9 S
y
(OPE, SUS, OCC) 
17 CAESAR II Quick Reference Guide
B31.4 Chapter IX  
Where:   
S
y
= specified minimum yield strength   
S
h
= (P
i
 P
e
) D / 2t   
S
e
= 2[((S
L
- S
h
)/2)
2
+ S
t
2
]
1/2 
B31.5  
Sl = Slp + Fax/A + Sb < Sh  (SUS) 
sqrt (Sb
2
+ 4 St
2
) < f [ 1.25 (Sc+Sh) - Sl ]  (EXP) 
Fax/A + Sb + Slp <  k Sh  (OCC)   
Sb = [sqrt ( (i
i
M
i
)
2
+ (i
0
M
0
)
2
)]/Z    
For Straight Pipe: 
Max(S
L
, S
C
) < 0.9ST  (OPE) 
Max(S
L
, S
C
) < 0.9ST  (SUS) 
S
L
(OCC)* 
and   
S
C
< ST  (OCC)* 
S
L
= S
P
+ S
X
+ S
B
For All Other Components  
S
L
< 0.9ST  (OPE, SUS, OCC)  
S
L
< 0.75ST  (SUS, OCC) 
S
E
< f[1.25(S
C
+ S
H
)  S
L
] (EXP) 
Where:   
S
L
= S
P
+ S
X
+ S
B
S
P
= 0.3S
Hoop
 (for restrained pipe) 
  = 0.5S
Hoop
 (for unrestrained pipe)  
S
X
= R/A   
S
B
= M
B
/Z (for straight pipe/bends with SIF = 1.0) 
  = M
R
/Z (for other components)  
CAESAR II Quick Reference Guide 18
B31.5  
Where:   
S
C
= Max (|S
Hoop
  S
L
|, sqrt[S
L
2
 S
L
S
Hoop
 + S
Hoop
2
])   
M
R
= sqrt[(0.75i
i
M
i
)
2
+ (0.75i
o
M
o
)
2
+ M
t
2
]
S
E
= M
E
/Z   
M
E
= sqrt[(0.75i
i
M
i
)
2
+ (0.75i
o
M
o
)
2
+ M
t
2
]
S = Specified Minimum Yield Stress   
T = Temperature Derating Factor   
S
H
= 0.33S
U
T
S
C
= 0.33S
U
S
U
= Specified Minimum Ultimate Tensile Stress      
B31.8 Chapter VIII  
Hoop Stress:   S
h
 s F
1
S T (OPE, SUS, OCC) 
Longitudinal Stress: |S
L
| s 0.8 S  (OPE, SUS, OCC) 
Equivalent Stress:  S
e
 s 0.9 S  (OPE, SUS, OCC) 
Where:   
S = Specified Minimum Yield Strength   
F
1
= Hoop Stress Design Factor (0.50 or 0.72, see Table A842.22 of the B31.8 Code) 
T= Temperature Derating Factor (see Table 841.116A of the B31.8 Code)  
Note: The product of S and T (i.e. the yield stress at operating temperature) is required in SH of the 
CAESAR II Input.
B31.8 Chapter VIII   
S
h
= (P
i
 P
e
) D / 2t   
S
L
= maximum longitudinal stress (positive tensile, negative compressive) 
S
e
= 2[((S
L
- S
h
)/2)
2
+ S
s
2
]
1/2  
S
s
= tangential shear stress    
19 CAESAR II Quick Reference Guide
B31.11  
If FAC = 1.0 (fully restrained pipe)   
FAC | E o dT - v S
HOOP
| + S
HOOP  
< 0.9 (Syield)  (OPE) 
If FAC = 0.001 (buried, but soil restraints modeled) 
Fax/A - v S
HOOP 
+ Sb + S
HOOP  
< 0.9 (Syield)  (OPE)   
(If Slp + Fax/A is compressive)   
If FAC = 0.0 (fully above ground)   
Slp + Fax/A + Sb + S
HOOP
 < 0.9 (Syield)  (OPE) 
(If Slp + Fax/A is compressive)   
(Slp + Sb + Fax/A) (1.0 - FAC) < (0.75) (0.72) (Syield)  (SUS) 
sqrt ( Sb
2
+ 4 St
2
) < 0.72 (Syield)  (EXP)   
(Slp + Sb + Fax/A) (1.0 - FAC) < 0.88 (Syield)     (OCC)  
GPTC/Z380  
Slp + 0.75i Ma/Z <  Syield    (OPE) 
Sl = Slp+Sb < 0.75(Sy)Ft  (SUS) 
Se = sqrt(Sb
2
+4St
2
) < 0.72 (Syield)  (EXP) 
Note:  GPTC/Z380 is similar to B31.8 with noted changes. 
CAESAR II Quick Reference Guide 20
International Codes  
BS806  
Straight Pipe  
< S
A
OPE   
f
c
= sqrt(F
2
+ 4f
s
2
) < S
A
SUS   
  < S
A
EXP   
f
s
= M
t
(d + 2t) / 4I   
F = max (f
t
, f
L
)
f
t
= pd/2t + 0.5p   
f
L
= pd
2
/[4t(d + t)] + (d + 2t)[sqrt(m
i
2
+ m
o
2
)] / 2I    
Bends 
  < S
A
OPE   
f
c
= sqrt (F
2
+ 4 f
s
2
) < S
A
SUS   
  < S
A
EXP   
f
s
= Mt (d + 2t) /4I    
F = max (ft, f
L
)
f
t
= r/I * sqrt[(m
i
F
Ti
)
2
+ (m
0
F
To
)
2
]
f
s
= r/I * sqrt[(m
i
F
Li
)
2
+ (m
0
F
Lo
)
2
]
Branch Junctions 
BS806  
< S
A
OPE   
f
cb
 = q * sqrt[f
b
2
+ 4f
sb
2
] < S
A
SUS   
  < S
A
EXP   
f
b
= (d + t)*p*m/(2t) + r/I*sqrt[(m
i
F
TL
)
2
+ (m
o
F
TO
)2
]
F
sb
 = Mt (d + 2t) / 4I   
q = 1.0 except for operating cases   
= 5 or .44 bases on d
2
/d
1
ratio in operating cases   
m = geometric parameter   
EXP S
A
= min[(H*S
proof ambient
 + H*S
proof design
);(H*S
proof ambient
 + F)] 
21 CAESAR II Quick Reference Guide
BS806   
OPE S
A
= S
avg rupture
 at design temperature   
SUS S
A
= min[.8*S
proof
, S
creep rupture
]
BS 7159  
If S
x
is tensile:   
(   )
(   )
2 2
P D [sqrt((i M ) +(i M ) )]
m xi i xo o
S =  +
x
4t Z 
2 2
4S
x s
  Sh o   +   <
(OPE) 
and  
2 2
( 4 ) *
s
  Sh   E   E
H   A
o   + o   <
|
(OPE) 
or, if S
x
is compressive:   
(   )
(   )
2 2
P D [sqrt((i M ) +(i M ) )]
F
m xi i xo o x
- -
A
4t Z 
(If Fx/A > P(Dm)/(4t), and it is compressive)   
S *
x
  H   A
h   E   E
x
  Z o   v   o
|   | 
(OPE) 
and  
1.25 S
x
  Sh Z
(OPE) 
Circumferential Stress   
(   )
(   )
MP D
m
S = 
2t
|
for straight pipes   
(   )
(   )
2 2
[ ((i M ) +(i M ) ) ]
MP D i i o o
m
+
2t Z
|   |
=
for bends  
CAESAR II Quick Reference Guide 22
BS 7159  
(   )
(   )
2 2
[ ((i M ) +(i M ) ) ]
MP D
i i o o m
+
2t Z
x   x
=
for tees  
D
m
and t are always for the Run Pipe    
Canadian Z662  
If FAC = 1.0 (fully restrained pipe)   
|E o dT - v S
h
| + S
h
< 0.9 S * T  (OPE) 
If FAC = 0.001 (buried, but soil restraints modeled) 
|F
ax
 / A - v S
h
| + S
b
+ S
h
< S * T (OPE) 
(If F
ax
 / A - v S
h
is compressive)   
If FAC = 0.0 (fully above ground)   
|S
lp
 + F
ax
 / A| + S
b
+ S
h
< S * T (OPE) 
(If S
lp
 + F
ax
 / A is compressive)   
S
l
= 0.5S
h
+ S
b
< S * F * L * T (SUS, OCC) 
S
E
= sqrt [S
b
2
+ 4S
t
2
] < 0.72 S * T  (EXP)  
CODETI  
Sl = Sigma1 = p*De/(4ef) + 0.75*i*Ma/Z  < fchaud    (SUS) (C.3.3.2) 
Sigma2 = p*De/(4*ef)+0.75*I*Ma/Z +0.75*i*Mb/Z<k*fchaud 
(OCC)   (C3.3.3) 
Sigma3 = i*Mc/Z < fa      (EXP)   (C.3.3.4.1)   
Sigma4 = p*De/(4*ef) + 0.75*i*Ma/Z + i*Mc/Z  < fchaud + fa (C3.3.4-2) 
With   
fa = U*(1.25*ffroid + 0.25*fchaud)*Echaud/Efroid         (C3.2.4.2-1)  
Det Norske Veritas (DNV)  
Hoop Stress:  S
h
 s n
s
SMYS  (OPE, SUS, OCC) 
Hoop Stress:  S
h
 s n
u
SMTS  (OPE, SUS, OCC) 
23 CAESAR II Quick Reference Guide
Det Norske Veritas (DNV)  
Longitudinal Stress:  S
L
 s n SMYS  (OPE, SUS, OCC) 
Equivalent Stress:  S
e
 s n SMYS  (OPE, SUS, OCC) 
Where:   
S
h
= (P
i
 P
e
) (D  t) / 2t   
n
s
= hoop stress yield usage factor Tables C1 and C2 of DNV 
SMYS  = specified minimum yield strength at operating temperature 
n
u
= hoop stress bursting usage factor Tables C1 and C2 of DNV 
SMTS  = specified minimum tensile strength, at operating temperature 
S
L
= maximum longitudinal stress   
n = equivalent stress usage factor Table C4 of DNV 
S
e
= [S
h
2
+ S
L
2
- S
h
S
L
+ 3t
2
]
1/2     
EN-13480   
c o A
P d (0.75i)M
+
4en Z
  n
Kf Z
(SUS) 
c o a
P d (0.75i)M iMc
+ +
4en Z Z
  n   h
f   f Z   +
(EXP) 
c o A B
P d (0.75i)M i(0.75i)M
+ +
4en Z Z
  n
Kf Z
(OCC)  
EN-13480 Alternate Option  
(   )   (   )
2 2
i i o o
bA
i m + i m
S =
z
due to primary loads  
c o
l bA
P d
S = +S
4en
  n
Kf Z
(SUS) 
2 2
b t l
S +4S +S
  n   h
f   f Z   +
(EXP) 
c o
bA bB
P d
+S +S
4en
  n
Kf Z
(OCC)  
(   )   (   )
2 2
i i o o
bB
i m + i m
S =
z
due to occasional loads  
CAESAR II Quick Reference Guide 24
FDBR  
Sl = Slp + 0.75 i Ma / Z < Sh (SUS)   
i Mc / Z < f [ 1.25 (Sc+Sh) - Sl ] (EXP)     
Slp + 0.75 i Ma / Z + 0.75 i Mb / Z < k Sh (OCC)    
HPGSL  
Sl = Slp + Fax/A + Sb < Sh  (SUS)   
sqrt (Sb
2
+ 4 St
2
) < f [1.25 (Sc+Sh) - Sl]  (EXP) 
Fax/A + Sb + Slp < k Sh  (OCC) 
Sb = [sqrt ((i
i
M
i
)
2
+ (i
0
M
0
)
2
)]/Z      
JPI  
Sl = Slp + Fax/A + Sb < Sh  (SUS)   
sqrt (Sb
2
+ 4 St
2
) < f [1.25 (Sc+Sh) - Sl]  (EXP) 
Fax/A + Sb + Slp < k Sh  (OCC) 
Sb = [sqrt ((i
i
M
i
)
2
+ (i
0
M
0
)
2
)]/Z      
Norwegian  
2
PDi .75Ma
SI = 
2 2
Z
Eff(D D )
0 1
  +
(SUS) 
iMc/Z < Sh + Sr - Sl   (EXP) 
2
.75i (Ma + Mb)   PmaxDi   
 +  
2 2 Z
Eff(D -D ) 
0 i
(OCC) 
M = sqrt (M
x
2
+ M
y
2
+ M
z
2
)
S
r
= Minimum of 1.25 Sc + 0.25 Sh; F
r
R
s
-F
2
;
or F
r
(1.25R
1
+ 0.25R
2
)
The latter applies to temperatures over 370C; 425C for 
Austenitic stainless steel 
 
F
r
= Cyclic reduction factor   
25 CAESAR II Quick Reference Guide
Norwegian 
 
R
s
= Permissible extent of stress for 7000 cycles   
R
1
= Minimum of Sc and 0.267 R
m
R
2
= Minimum of Sh and 0.367 R
m
R
m
= Ultimate tensile strength at room temperature   
 
PD8010 
 
PD8010 Part 1
 
Hoop Stress S
h
< aeS
y
(OPE, SUS, OCC) 
Equivalent Stress S
e
< 0.9S
y
(OPE, SUS, OCC) 
Where:   
S
y
= specified minimum yield strength   
e = weld joint factor   
PD8010 Part 1
 
2 2
2 2
( )
( )
o   i
hl
o   L
D   D
S   P
D   D
   ( +
=
   (
   
2 2 2
hl L hl L T
S +S -S *S +3*S
e
S   =
S
hl 
hoop stress using nominal dimensions   
2 *
2
  shear
T
  F
MT
S
  Z   Area
   (
   (
=   +
     (
   
     
S
L
Based on restrained/unrestrained status   
S
L
for unrestrained piping 
L LP
S =  S +  im z
S
L
for restrained piping    
If FAC = 1.0 (fully restrained pipe)   
FAC | E o dT - uS
HOOP
| + S
HOOP 
< 0.9 (Syield)  (OPE) 
If FAC = 0.001 (buried, but soil restraints modeled)   
Fax/A - v S
HOOP
 + Sb + S
HOOP 
< 0.9 (Syield)  (OPE) 
(If Slp + Fax/A is compressive)   
If FAC = 0.0 (fully above ground)   
Slp + Fax/A + Sb + S
HOOP 
 < 0.9 (Syield)  (OPE) 
CAESAR II Quick Reference Guide 26
PD8010 Part 1  
(If Slp + Fax/A is compressive)   
(Slp + Sb + Fax/A) (1.0 - FAC) < 0.75) (0.72) (Syield)  (SUS) 
sqrt ( Sb
2
+ 4 St
2
) < 0.72 (Syield)  (EXP) 
(Slp + Sb + Fax/A) (1.0 - FAC) < 0.8 (Syield)   (OCC) 
 
PD8010 Part 2   
Hoop Stress S
h
< f
dh
S
y
Equivalent Stress S
e
< f
de
S
y
Where:   
S
y
specified minimum yield strength   
f
dh 
hoop stress design factor (See Table 2)   
f
de 
equivalent stress design factor (See Table 2)   
2 2
2 2
( )
( )
( )
o   L
i   o
o   L
D   D
Sh   P   P
D   D
+
=   
PD8010 Part 2   
2 2 2
e h L h L T
S =  S +S -S *S +3*S
2 *
2
  shear
T
  F
MT
S
  Z   Area
   (
   (
=   +
     (
   
     
L LP
S =  S +  im z
RCC-M C & D 
 
Slp + 0.75i Ma/Z <  Sh (SUS)     
iMc/Z <   f (1.25 Sc + .25 Sh) + Sh - Sl (EXP)   
Slpmax + 0.75i  (Ma + Mb)/Z <  1.2 Sh (OCC)   
 
Stoomwezen 
 
Slp + 0.75i Ma/Z <  f   (SUS) 
iMc/Z <  fe    (EXP)   
Slp + 0.75i (Ma + Mb)/Z < 1.2f   (OCC) 
 
27 CAESAR II Quick Reference Guide
UKOOA 
 
oa
b
(f
2
/r) + PD
m
/ (4t)  <  (f
1
f
2
LTHS) / 2.0   
Where:     
P = design pressure   
D
m
= pipe mean diameter   
t = pipe wall thickness   
f
1
= factor of safety for 97.5% lower confidence limit, usually 0.85 
f
2
= system factory of safety, usually 0.67   
oa
b
= axial bending stress due to mechanical loads   
r = oa(0:1) /oa(2:1)   
oa(0:1)   = long term axial tensile strength in absence of pressure load 
oa(2:1)   = long term axial tensile strength in under only pressure loading 
LTHS = long term hydrostatic strength (hoop stress allowable) 
 
CAESAR II Quick Reference Guide 28
Node Locations on Bends 
 Bends are defined by the element entering the bend and the 
element leaving the bend. The actual bend curvature is always 
physically at the TO end of the element entering the bend. 
 The element leaving a bend must appear immediately after the 
element defining  (entering) the bend. 
 The default bend radius is 1.5 times the pipe nominal OD. 
 For stress and displacement output the TO node of the element 
entering the bend is located geometrically at the FAR point on the 
bend. The FAR point is at the weld line of the bend, and adjacent to 
the straight element leaving the bend.  
 The NEAR point on the bend is at the weld line of the bend, and 
adjacent to the straight element entering the bend. 
 The FROM point on the element is located at the NEAR point of the 
bend if the total length of the element as specified in the DX, DY and 
DZ fields is equal to: Radius * tan( Beta / 2 ) where Beta is the 
bend angle, and Radius is the bend radius of curvature to the bend 
centerline. 
 Nodes defined in the Angle # and Node # fields are placed at the 
given angle on the bend curvature. The angle starts with zero 
degrees at the NEAR point on the bend and goes to Beta degrees 
at the FAR point of the bend. 
 Angles are always entered in degrees. 
 By default, nodes on the bend curvature cannot be specified within 
five (5) degrees of one another or within five degrees of the nearest 
end point.  This and other bend settings may be changed through 
the Main Menu, Configure-setup processor.  
 When the FROM node on the element entering the bend is not at 
the bend NEAR point a node may be placed at the near point of the 
bend by entering an Angle # on the bend spreadsheet equal to 0.0 
degrees. For more information see the following figure. 
 When defining a bend element for the first time in the pipe 
spreadsheet, nodes are automatically placed at the near and mid 
point of the bend.  The generated midpoint node number is one less 
than the TO node number on the element, and the generated near 
point node number is two less than the TO node number on the 
element.  A near point should always be included in the model in 
29 CAESAR II Quick Reference Guide
tight, highly formed piping systems. The top-left figure below shows 
the points on the bend as they would be input. The top-right figure 
shows the actual geometric location of the points on the bend. The 
bottom-left figure shows the same geometry except that two nodes 
are defined on the bend curvature at angles of zero and forty-five 
degrees. 
 
 For an animated tutorial on modeling bends, select the ANIMATED 
TUTORIALS option on the Help menu. 
CAESAR II Quick Reference Guide 30
CAESAR II Verification and Validation Manual 
The CAESAR II Verification and Validation Manual is intended to serve as a 
publicly available verification document. This manual discusses (briefly) 
the current industry QA standards, the COADE QA standard, a series of 
benchmark jobs, and instructions for users implementing QA 
procedures on their own hardware. 
The benchmark jobs consist of comparisons to published data by ASME 
and the NRC. Additional test jobs compare CAESAR II results to other 
industry programs.  
For additional information on the Verification and Validation Manual, please 
contact the sales department at sales@coade.com.  
31 CAESAR II Quick Reference Guide
Additional COADE Software Programs 
CADWorx Plant - An AutoCAD based plant design/drafting program with a 
bi-directional data transfer link to CAESAR II. CADWorx allows models to 
be created in ortho, iso, 2D or 3D modes. CADWorx template 
specifications, contained with built in auto routing, auto iso, stress iso, 
auto dimensioning, complete libraries, center of gravity calculations, and 
bill of materials, provides the most complete plant design package to 
designers. 
CodeCalc - A program for the design or analysis of pressure vessel 
components. CodeCalc capabilities include: analysis of tubesheets, 
rectangular vessels, flanges, nozzles, Zick Analysis, and the standard 
internal/external thickness and pressure computations on heads, shells, 
and cones.  API 579 calculations are also included. 
PV Elite - A comprehensive program for the design or analysis of vertical 
and horizontal vessels. Pressure Vessel Codes include ASME VIII-1 
and VIII-2, PD:5500 and EN-13445. PVElite includes all of the CodeCalc 
functionality. 
TANK - A program for the design or rerating of API-650/653 storage 
tanks. The program includes API 650 Appendices A, E, F, M, P, S, and 
L as well as API 653 Appendix B. Computations address: winds girders, 
conical roof design, allowed fluid heights, and remaining corrosion 
allowance. 
Quick Reference Guide Index 
A
Additional COADE Software 
Programs  31 
ASME SECT III CLASS 2 & 3  15 
B
B31.1  15 
B31.1 (1967) and Navy Section 505  
16 
B31.11  19 
B31.3  16 
B31.4  16 
B31.4 Chapter IX  16 
B31.5  17 
B31.8  17 
B31.8 Chapter VIII  18 
Bends  20 
Branch Junctions  20 
BS 7159  21 
C
CAESAR II Interfaces  4 
CAESAR II Intersection Types  14 
CAESAR II Pipe Stress Seminars  3 
CAESAR II Quality Assurance 
Manual  30 
CAESAR II Quick Reference Guide 
Version 5.20  2 
CAESAR II Software  2 
Canadian Z662  22 
Code Stresses  15 
CODETI  22 
D
Database Definitions  12 
Det Norske Veritas (DNV)  22 
E
EN-13480  23 
F
FDBR  24 
FRP Properties  11 
G
GPTC/Z380  19 
H
HPGSL  24 
L
List of Materials  13 
M
Miscellaneous Computations  12 
N
Node Locations on Bends  28 
Norwegian  24 
P
PD8010  25 
Piping Codes  5 
Plot Colors  11 
R
RCC-M C & D  26 
Restraints  7 
S
Setup File Directives List  8 
SIFs and STRESSES  9 
Stoomwezen  26 
Stress  15 
System Requirements  3 
T
Troubleshooting  4 
U
UKOOA  27 
US Codes  15 
 
COADE Inc. 
12777 Jones Road, Suite 480 
Houston, Texas 77070 
Phone:(281)890-4566 
Fax: (281)890-3301 
Internet: www.coade.com 
 
CAESAR II 
Quick Reference Guide 
VERSION 5.20 
LAST REVISED 4/2009