Conventions
Common data

NodeI: Number of 1st node element

NodeJ: Number of 2nd node element

NodeK: Number of 3rd node element

NodeL: Number of 4th node element

dofDX: Translation degree of freedom along the global X axis

dofDY: Translation degree of freedom along the global Y axis

dofDZ: Translation degree of freedom along the global Z axis

dofRX: Rotation degree of freedom about the global X axis

dofRY: Rotation degree of freedom about the global Y axis

dofRZ: Rotation degree of freedom about the global Z axis

LocRes: Location of result on element

Material: Material of element

Section1: Cross section of element at 1st end

Section2: Cross section of element at 2nd end

Connection1: Boundary conditions at 1st end

Connection2: Boundary conditions at 2nd end

Angle: Rotation angle about the element local axis (ø)

Length: Length of line element

Thickness: Element thickness at 1st joint

Slopex: Slope along the local x axis

Slopey: Slope along the local y axis

Weight: Element weight

CaseType: Type of load case (i.e., static, seismic, etc.)

CaseCode: Load case code

CaseTitle: Load case title

E: Young's modulus

nu: Poisson's ratio

W/V: Density

Alpha: Coefficient of thermal expansion

Sx: Cross sectional area effective in normal force

Sy: Shear area in the y direction

Sz: Shear area in the z direction

Ix: Torsion constant

Iy: Bending inertia about the local y axis

Iz: Bending inertia about the local z axis

Wx: Torsion modulus

W1y: Bending modulus y for negative z

W1z: Bending modulus y for positive z

W2y: Bending modulus z for negative y

W2z: Bending modulus z for positive y
Common coordinates

X: Element X coordinate

Y: Element Y coordinate

Z: Element Z coordinate

XCenter: X coordinate at the element center

YCenter: Y coordinate at the element center

ZCenter: Z coordinate at the element center

X1: X coordinate of element 1st end

Y1: Y coordinate of element 1st end

Z1: Z coordinate of element 1st end

X2: X coordinate of element 2nd end

Y2: Y coordinate of element 2nd end

Z2: Z coordinate of element 2nd end
Common displacements

DX: Displacement along the global X axis

DY: Displacement along the global Y axis

DZ: Displacement along the global Z axis

D: Global displacement

RX: Rotation about the global X axis

RY: Rotation about the global Y axis

RZ: Rotation about the global Z axis

Dx: Displacement along the local x axis

Dy: Displacement along the local y axis

Dz: Displacement along the local z axis

d: Local displacement

Lfy: Buckling length along the local y axis

Lfz: Buckling length along the local z axis
Common forces
Support forces

FX: Force along the global X axis

FY: Force along the global Y axis

FZ: Force along the global Z axis

MX: Moment about the global X axis

MY: Moment about the global Y axis

MZ: Moment about the global Z axis
Linear element forces

Fx: Normal force along the local x axis

Fy: Shear force along the local y axis

Fz: Shear force along the local z axis

Mx: Torsion moment about the local x axis

My: Bending moment about the local y axis

Mz: Bending moment about the local z axis
Planar element forces

Fxx: Normal force along the local x axis

Fyy: Normal force along the local y axis

Fxy: Shear force in the local xy plane

Fxz: Transverse shear force

Fyz: Transverse shear force

Mxx: Bending moment about the local x axis

Myy: Bending moment about the local y axis

Mxy: Mixed bending moment

F1: Maximum in plane force in the main directions

F2: Minimum in plane force in the main directions

AlphaF: Angle of F1 with the IJ direction

M1: Maximum moment in the main directions

M2: Minimum moment in the main directions

AlphaM: Angle of M1 with the IJ direction
Common stresses
Support stresses

SX: Support stress in the global X direction (ground stress)

SY: Support stress in the global Y direction (ground stress)

SZ: Support stress in the global Z direction (ground stress)

S: Support stress in the global coordinate system (ground stress)
Linear element stresses

Sxx: Normal stress (due to all components)

SxxMax: Maximum stress on element (due to all components)

SxxMin: Minimum stress on element (due to all components)

Sxy: Shear stress in the y direction (due to all components)

SxyMax: Max envelope of the absolute value of the minimum shear stress in the y direction (due to all components)

SxyMin: Min envelope of shear stress in the y direction (due to all components)

Sxz: Shear stress in the z direction (due to all components)

SxzMax: Max shear stress in the z direction (due to all components)

SxzMin: Min shear stress in the z direction (due to all components)

Sv: Von Mises stress (due to all components)
Planar element stresses

sxx_top: Normal stress in the local x direction (upper side)

syy_top: Normal stress in the local y direction (upper side)

sxy_top: Shear stress in the local xy plane in the y direction (upper side)

sxz_top: Shear stress in the local xz plane in the z direction (upper side)

syz_top: Shear stress in the local yz plane in the z direction (upper side)

szz_top: Normal stress in the local z direction (upper side)

sv_top: Von Mises stress (upper side)

s1_top: Max stress in the main directions (upper side)

alpha_top: Angle of s1 with the IJ direction (upper side)

s2_top: Min stress in the main directions (upper side)

sxx_mid: Normal stress in the local x direction (neutral plane)

syy_mid: Normal stress in the local y direction (neutral plane)

sxy_mid: Shear stress in the local xy plane (neutral plane)

sxz_mid: Transverse shear stress in the local x direction (neutral plane)

syz_mid: Transverse shear stress in the local y direction (neutral plane)

szz_mid: Normal stress in the local z direction (neutral plane)

sv_mid: Von Mises stress (neutral plane)

Alpha_mid: Angle of s1 with the IJ direction (neutral plane)

s2_mid: Min stress in the main directions (neutral plane)

sxx_bot: Normal stress in the local x direction (lower side)

syy_bot: Normal stress in the local y direction (lower side)

sxy_bot: Shear stress in the local xy plane in the y direction (lower side)

sxz_bot: Transverse shear stress in the local xz plane in the z direction (lower side)

syz_bot: Transverse shear stress in the local yz plane in the z direction (lower side)

szz_bot: Normal stress in the local z direction (lower side)

sv_bot: Von Mises stress (lower side)

s1_bot: Max stress in the main directions (lower side)

Alpha_bot: Angle of s1 with the IJ direction (lower side)

s2_bot: Min stress in the main directions (lower side)
Envelopes

Max ( ): Max envelope of a force, stress or displacement

Min ( ): Min envelope of a force, stress or displacement

Max (   ): Max envelope of the absolute value of a force, stress or displacement

Min (   ): Min envelope of the absolute value of a force, stress or displacement
Supports

KTX: Translation stiffness in the X direction

KTY: Translation stiffness in the Y direction

KTZ: Translation stiffness in the Z direction

KRX: Rotational stiffness in the X direction

KRY: Rotational stiffness in the Y direction

KRZ: Rotational stiffness in the Z direction

TX: Support with X direction translational restraint

TY: Support with Y direction translational restraint

TZ: Support with Z direction translational restraint

RX: Support with X direction rotational restraint

RY: Support with Y direction rotational restraint

RZ: Support with Z direction rotational restraint
Accelerations

AX: Acceleration in the global X direction

AY: Acceleration in the global Y direction

AZ: Acceleration in the global Z direction

A: Global acceleration
Loads

Load: Load ID

FX: Force in the global X direction

FY: Force in the global Y direction

FZ: Force in the global Z direction

MX: Moment about the global X axis

MY: Moment about the global Y axis

MZ: Moment about the global Z axis

Coefficient1: Magnitude of load at 1st end

Coefficient2: Magnitude of load at 2nd end

Coefficient3: Magnitude of load at 3rd end
Mass

Mass: Mass ID

MX: Mass in the global X direction

MY: Mass in the global Y direction

MZ: Mass in the global Z direction

IX: Mass inertia in the global X direction

IY: Mass inertia in the global Y direction

IZ: Mass inertia in the global Z direction
Self weight

X: Self weight in the global X direction

Y: Self weight in the global Y direction

Z: Self weight in the global Z direction
Thermal loads

DeltaT: Variation between the set temperature and reference temperature (°C)

Gradient Y: Thermal gradient applied along the global Y direction

Gradient Z: Thermal gradient applied along the global Z direction
Imposed displacements

DX: Imposed translation displacement along the global X axis

DY: Imposed translation displacement along the global Y axis

DZ: Imposed translation displacement along the global Z axis

RX: Imposed rotational displacement about the global X axis

RY: Imposed rotational displacement about the global Y axis

RZ: Imposed rotational displacement about the global Z axis
Steel Results

E: Elasticity longitudinal module

G: Shearing module

: Poisson's coefficient

: Material elasticity limit

L: Beam real length

h: Shape height

Sx: Beam section

Sy: Reduced cross section of shear force according to the y axis

Sz: Reduced cross section of shear force according to the z axis

lx: Torsional inertia moment of the beam

ly: Bending inertia moment of the beam following the local y axis

lz: Bending inertia moment of the beam following the local z axis

y: Plastic adaptation coefficient for bending along y axis

z: Plastic adaptation coefficient for bending along z axis

Lfy: Beam buckling length in the local plan (x,y)

Lfz: Beam buckling length in the local plan (x,z)

Ld: Length of upper or lower lateraltorsional buckling

iy: Gyration radius

iz: Gyration radius

y: Slenderness ratio along the local y axis

z: Slenderness ratio along the local z axis

: Maximal slenderness ratio

x: Normal stress (negative for a compression)

k: Critical stress of Euler

y: Critical stress of Euler

z: Critical stress of Euler

: Deviation coefficient from the critical state

y: Deviation coefficient from the critical state

z: Deviation coefficient from the critical state

AMz: Diagram area of the Mz moment

AMy: Diagram area of the My moment

Mzmax: Maximal moments (in absolute value) on the local z axis

Mymax: Maximal moments (in absolute value) on the local y axis

Mw: Extremity moment of the highest absolute value

Me: Extremity moment of the lowest absolute value

d: No lateraltorsional buckling stress

D: Coefficient depending on the piece dimensions

C: Coefficient depending on the longitudinal distribution of the loads

B: Coefficient depending on the load application level

k: Buckling coefficient in pure compression

k1: Buckling coefficient in bending compression

kfz: Buckling coefficient in bending following the local z axis

kfy: Buckling coefficient in bending following the local y axis

kd: Lateraltorsional buckling coefficient

s: Security coefficient for the section strength

E: Security coefficient for the element stability

max: Maximum resultant stress in an element
Reinforced Concrete Result

Axi: lower reinforcement along the x axis

Ayi: lower reinforcement along the y axis

Axs: upper reinforcement along the x axis

Ays: upper reinforcement along the y axis

Ay: longitudinal upper and lower reinforcement area along the y axis

Aby: reinforcement along the y axis

Ahy: reinforcement along the y+ axis

Az: longitudinal upper and lower reinforcement area along the z axis

Abz: reinforcement along the z axis

Ahz: reinforcement along the z+ axis

Amin: minimum reinforcement area

Aty: transverse reinforcement area along the y axis

Atz : transverse reinforcement area along the z axis

Al: longitudinal reinforcement area

Atmin: minimum transverse reinforcement area

Lfy: Buckling length along the local y axis

Lfz: Buckling length along the local z axis

RV: Theoretical reinforcement ratio by volume unit

RL: Theoretical reinforcement ratio by length unit

RS: Theoretical reinforcement ratio by surface unit
Linear and planar elements conventions
1. Linear elements conventions
Forces
Local axes:


Fx: Normal force Attention! Fx is positive in case of tension and negative in case of compression, regardless of the orientation of local x. 

Fz: shear force due to a load applied along the local z axis 

Fy: shear force due to a load applied along the local y axis 

My: bending moment about the local y axis. ( = the moment generates a load applied along local z) Note: My > 0 => the upper fibre (z+) is tensioned (generally, on the supports) My < 0 => the lower fibre (z) is tensioned (generally, on the span) 

Mz: bending moment about the local z axis. (= the moment generates a load applied along local y) Note: Mz > 0 => the upper fibre (y+) is tensioned Mz < 0 => the lower fibre (y) is tensioned 
Reinforcement
Az: reinforcement provided by moment My Az is provided with a “  ” sign when in lower fibre and with a “ + ” sign when in upper fibre My positive provides Az reinforcement in upper fibre (because the upper fibre is tensioned). (generally, on the supports) My negative provides Az reinforcement in lower fibre (because the lower fibre is tensioned). (generally, on the span) 

Ay: reinforcement provided by moment Mz 

Atz: shear reinforcement provided by the shear force Fz 

Aty: shear reinforcement provided by the shear force Fy 
Stresses
Normal stress (normal force and moments) Shear stresses σxz: stress in the plan of the x normal, in the direction parallel to z σxy: stress in the plan of the x normal, in the direction parallel to y Von Mises stresses (normal and shear stress) 
2. Planar elements conventions
Forces
Local axes:


Fxx: Normal force along the local x axis Fyy: Normal force along the local y axis
Attention! Fxx is positive in case of tension and negative in case of compression, regardless of the orientation of local x (Idem for Fyy) 

Fxz: shear force in the plan of the x normal, in the direction parallel to z 

Fyz: shear force in the plan of the y normal, in the direction parallel to z 

Mxx: bending moment about the local x axis Note: Mxx > 0 => the upper fibre (z+) is tensioned (generally, on the supports) Mxx < 0 => the lower fibre (z) is tensioned (generally, on the span) 

Myy: bending moment about the local y axis Note: Myy > 0 => the upper fibre (z+) is tensioned (generally, on the supports) Myy < 0 => the lower fibre (z) is tensioned (generally, on the span) 
Reinforcement
Axi and Axs: reinforcement bars parallel to the local x axis (provided by the moment Myy) Myy positive provides Axs reinforcement (in upper fibre) (because the upper fibre is tensioned). Myy negative provides Axi reinforcement (in lower fibre) (because the lower fibre is tensioned). 

Ayi and Ays: reinforcement bars parallel to the local y axis (provided by the moment Mxx) Mxx positive provides Ays reinforcement (in upper fibre) (because the upper fibre is tensioned). Mxx negative provides Ayi reinforcement (in lower fibre) (because the lower fibre is tensioned). 
Stresses
Normal stress (normal force and moments) Along x Along y Shear stresses σxz : stress in the plan of the x normal, in the direction parallel to z σyz : stress in the plan of the y normal, in the direction parallel to z Von Mises stresses (normal and shear stress) 