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C: Definitions [Table of Contents] Sec.2: Safety philosophy

DNV-OS-C502 Offshore Concrete Structures

[-] Sec.1: Introduction
[-] D: Abbreviations and Symbols

Sec.1
D. Abbreviations and Symbols

Sec.1
D 100   Abbreviations

Sec.1 D
101
   Abbreviations as shown in Table D1 are used in this standard.

Sec.1 D
Table D1 Abbreviations 
Abbreviation In full 
Accidental loads 
ACI American Concrete Institute  
AISC American Institute of Steel Construction 
ALS Accidental limit states 
API American Petroleum Institute 
ASR Alkali silica reaction 
ASTM American Society for Testing and Materials 
BS British Standard (issued by British Standard Institute) 
CN Classification note 
CoG Centre of gravity 
Deformation loads 
DDF Deep draught floaters 
DLE Ductility level earthquake 
DNV  Det Norske Veritas 
Environmental loads 
EN European norm 
ETM Event tree method 
ESD Emergency shut down 
FLS Fatigue limit state 
FM Fracture mechanics 
FMEA Failure mode effect analysis 
FTM Fault tree method 
Permanent loads 
HAT Highest astronomical tide 
HAZOP Hazop and operability study 
HISC Hydrogen induced stress cracking 
HS High strength  
IGC International gas carrier 
IMO International maritime organisation 
ISO International organisation of standardisation 
LA Mildly aggressive environment 
LAT Lowest astronomic tide 
LNG Liquified natural gas 
LRFD Load and resistance factor design 
LWA Light weight aggregate concrete 
MA Severely aggressive environment 
MPI Magnetic particle inspection 
MSF Module support frame 
MSL Mean sea level 
NA Moderately aggressive environment 
NACE National Association of Corrosion Engineers 
NDT Non-destructive testing  
NS Norwegian standard 
NW Normal weight concrete 
QRA Quantitative risk analysis 
RP Recommended practise 
SA Specially aggressive environment 
SLS Serviceability limit state 
SLE Strength level earthquake 
SMYS Specified minimum yield stress 
SN-curves Curves specifying fatigue life 
ULS Ultimate limit state 

Sec.1
D 200   Symbols

Sec.1 D
201
   Latin characters

Sec.1 D
Accidental loads 
A1 loaded area 
A2 assumed distribution area 
Ac concrete area of a longitudinal section of the beam web 
Ac cross-sectional area of uncracked concrete 
Acf effective cross section area of the flange, hf beff 
As cross section area of properly anchored reinforcement on the tension side (mm2
As the reinforcement area that is sufficiently anchored on both sides of the joint and that is not utilized for other purposes 
ASV Amount of shear reinforcement 
Asx amount of reinforcement in x-direction 
Asy amount of reinforcement in y-direction 
Ast the area of transverse reinforcement not utilized for other tensile forces and having a spacing not greater than 12 times the diameter of the anchored reinforcement. If the reinforcement is partly utilized, the area shall be proportionally reduced 
distance from the face of the support 
av vertical acceleration 
beff the part of the slab width which according to Sec.6 A400 is assumed as effective when resisting tensile forces 
bx length of the side of the critical section (Sec.6 F510
by length of the side perpendicular to bx 
bw width of beam (web) (mm) 
concrete grade (normal weight concrete) 
Cl  factor on Wøhler curves concrete (Sec.6 M200
C2 factor on Wøhler curves concrete (Sec. 6 M200) 
C3 factor on Wøhler curve reinforcement (Sec.6 M200) 
C4 factor on Wøhler curve reinforcement (Sec.6 M200) 
the least of the dimensions c1, c2 and (s1 - f)/2 given in Fig.13 
c1 minimum concrete cover, see Sec.6 Table Q1 
c2 actual nominal concrete cover 
deformation load 
Dk diameter of the concrete core inside the centroid of the spiral reinforcement, Ass 
distance from the centroid of the tensile reinforcement to outer edge of the compression zone 
d1 1 000 mm 
eccentricity of loading 
environmental load 
Ecd design value of Young's Modulus of concrete used in the stress-strain curve 
Ecn normalized value of Young's Modulus used in the stress-strain curve 
Esd design value of Young's Modulus of reinforcement 
Esk characteristic value of Young's Modulus of reinforcement (200 000 MPa) 
fbc concrete related portion of the design bond strength in accordance with Sec.6 K116 
fbd design bond strength, calculated in accordance with Sec. 6 K116 
fcc  concrete cylinder strength 
fcck characteristic concrete compressive strength 
fcck2 94 MPa (Sec.6 C102
fcckj characteristic strength of the taken specimens converted into cylinder strength for cylinders with height/diameter ratio 2:1 
fcckt characteristic compressive cylinder strength at 28 days based on in-situ tests 
fcd design compressive strength of concrete 
fc2d truss analogy: design compressive strength (Sec.6 F308) in the compression field = 0.6 fcdgeneral: reduced design compressive strength (Sec.6 H107) = fcd /(0.8 + 100 e1) < fcd 
fcn normalized compressive strength of concrete 
frd reference stress for the type of failure in question (Sec.6 M200
ftd design strength of concrete in uni-axial tension 
ftk characteristic tensile strength of concrete 
ftk ftk + 0.5 pw for structures exposed to pressure from liquid or gas in the formulae for calculating the required amount of minimum reinforcement (Sec.6 Q503
ftn normalized tensile strength of concrete 
fsd design strength of reinforcement 
fssd design strength of the spiral reinforcement, Ass 
fsk characteristic strength of reinforcement 
Fcd compressive capacity 
Fd design load 
Ff force in accordance with Fig.15 
Fk characteristic load 
SFvn/gs sum of forces Fvn corresponding to shear failure at cross wire welds within the development length 
FSV additional tensile force in longitudinal reinforcement due to shear 
Fx Nx + | Nxy | cot q 
Fy Ny + | Nxy | tan q 
permanent load 
g, go acceleration due to gravity 
cross-section height 
h' distance between the centroid of the reinforcement on the "tensile" and "compression" side of the member 
h1 1.0 m (Sec.6 D107
hf thickness of the flange (the slab) 
Ic moment of inertia of Ac 
number of stress-blocks (Sec.6 M107
k1 a factor depending of the type of reinforcement, given in Sec.6 Table K2 
k1 constant used in calculations of crackwidth (Sec.6 Table O3)  
k2 has the value 1.6 if the spacing s between the anchored bars exceeds 9f or (6c + f) whichever is the larger, k2 has the value 1.0 if s is less than the larger of 5f and (3c + f). For intermediate values interpolate linearly (Sec.6 K116
k3 a factor dependent on the transverse reinforcement and its position as given in Fig.14. The factor k3 is taken as zero for strands 
kA 100 MPa 
kE factor used for prediction of Young's modulus.  
kc 0.004 [permil]/ MPa. (Sec.6 C301
kn a factor dependent on the number of bars in the bundle and is taken as:
0.8 for bundle of 2 bars
0.7 for bundle of 3 bars
0.6 for bundle of 4 bars.
 
kv for slabs and beams without shear reinforcement the factor kV is set equal to 1.5 - d/d1, but not greater than 1.4 nor less than 1.0 
kw coefficient dependent on cross-sectional height h=1.5 - h/h1 > 1.0, where h1 = 1.0 m (Sec.6 O700
Li distance between zero moment points 
lb development length bond - bars or bundle of bars 
l'b development length for welded wire fabric 
lbp development length for the prestressing force 
le effective length, theoretical buckling length 
lsk the influence length of the crack, some slippage in the bond between reinforcement and concrete may occur (Sec.6 O700
moment 
Mf total moment in the section acting in combination with the shear force Vf 
Mo -Nf Wc/Ac 
| MOAnumerical smallest member end moment calculated from 1. order theory at end A 
| MOB numerical largest member end moment calculated from 1. order theory at end B 
eco / ecn 
number 
ni number of cycles in stress-block I (Sec.6 M107
nf Nf /fcdAc 
design life of concrete subjected to cyclic stresses 
Nf design axial force (positive as tension) 
Ni number of cycles with constant amplitude which causes fatigue failure (Sec.6 M107) 
Nx axial force in x-direction 
Ny axial force in y-direction 
Nxy shear force in the x-y plane 
load 
pressure 
pd design pressure 
variable functional load 
radius 
rc radius of curvature 
Rd design resistance 
Rk characteristic resistance 
centre to centre distance between the spiral reinforcement, measured in the longitudinal direction of the column (Sec.6 D106
s1 spacing of the transverse reinforcement 
Sc area moment about the centroid axis of the cross-section for one part of the concrete section 
Sd design load effect 
Sk characteristic load effect 
specified longitudinal tolerance for the position of the bar end 
Vcd design shear capacity of a concrete cross-section 
Vccd design shear capacity of a concrete cross-section (compression mode of failure) 
Vmax maximum shear force within fatigue stress block 
Vmin minimum shear force within fatigue stress block 
Vsd design shear capacity of a concrete cross-section (shear tension mode of failure) 
Vf design shear force for the cross section under consideration 
Wc section modulus of the concrete cross section with respect to the extreme tension fibre or the fibre with least compression 
wck crackwidth calculated in accordance with Sec.6 O700 
wk nominal characteristic crackwidths 
0.9 d for sections with a compression zone 
z1 the greater of 0.7 d and Ic/ Sc 



Sec.1 D
202
   Greek characters

Sec.1 D
a angle between transverse shear reinforcement and the longitudinal axis 
a the angle between the reinforcement and the contact surface, where only reinforcement with an angle between 90° and 45° (to the direction of the force) shall be taken into account 
a a factor given in Sec.6 Table K1 
a 1.3 - 0.3 b > 1.0 (Sec.6 M302
b ratio between the numerically smallest and largest stresses acting simultaneously in the local compressive concrete zone. The distance between the points used when calculating b shall not exceed 300 mm (0 < b < 1.0) (Sec.6 M302) 
b a factor given in Sec.6 Table K1 
b opening angle of the bend (Sec.6 L111
d deflection 
Ds stress variation of the reinforcement (MPa) (Sec.6 M202
e strain 
e1 - 1.9 [permil] (Sec.6 C301
e1 average principal tensile strain (Sect.6 H107
eco e1 - kefcn (Sec.6 C301), - 2 [permil] (Sec.6 C302
ecu max strain, NW concrete (2.5 m - 1.5)ecn (Sec.6 C301)  
ecu max strain, LWA concrete (Sec.6 C303) 
ecn  - fcn / Ecn 
ecm mean stress dependent tensile strain in the concrete at the same layer and over the same length as esm (Sec.6 O700
ecs free shrinkage strain of the concrete (negative value) (Sec.6 O700
es1 tensile strain in reinforcement slightly sensitive to corrosion on the side with highest strain (Sec.6 O206
es2 tensile strain at the level of the reinforcement sensitive to corrosion (Sec.6 O206
esm mean principal tensile strain in the reinforcement in the crack's influence length at the outer layer of the reinforcement (Sec.6 O700) 
h ratio of fatigue utilization 
gc material coefficient concrete 
gf load factor 
gm material factor (material coefficient) 
gs material coefficient reinforcement 
l geometric slenderness ratio = 80 (1+4 wt)0.5 
l le / i, i = (Ic/Ac) 0.5 
lN force dependent slenderness = l ( - nf / (1+4 wt))0.5 
q angle between the inclined concrete compression struts and the longitudinal axis in the truss model method 
f diameter of the reinforcement bar 
fe equivalent diameter in term of reinforcement cross section 
µ friction coefficient 
r density 
r1 2 400 (Sec.5 D306), 2 200 (Sec.6 C102
rx reinforcement ratio in x - direction = Asx /(b·d) 
ry reinforcement ratio in y - direction = Asy /(b·d) 
j creep coefficient 
sc concrete stress due to long-term loading 
sd design stress 
sM edge stress due to bending alone (tension positive)(Sec.6 O700
smax numerically largest compressive stress, calculated as the average value within each stress-block 
smin numerically least compressive stress, calculated as the average value within each stress-block 
sN stress due to axial force (tension positive) (Sec.6 O700) 
sp the steel stress due to prestressing 
tcd bond strength in accordance with Sec.6 Table J1 
tbmax maximum bond stress within fatigue stress block 
tbmin minimum bond stress within fatigue stress block 



Sec.1 D
203
   Subscripts

Sec.1 D
design value  
characteristic value  
plastic 
yield 


C: Definitions [Table of Contents] Sec.2: Safety philosophy