10-C.1 Scope
BS 5950 (1985) is the British standard for the structural use of steelwork in building, widely in use in regions which experience or have experienced British influence. The purpose of this manual is to define the reach and method of implementing this method within CivilFEM.
The types of analyses considered in this standard have been developed according to the ultimate limit state in agreement with the simple and rigid design methods. Semi-rigid design and experimental verification fall beyond the scope of this specification.
The applicable cross sections for checking procedures include rolled or welded sections subjected to axial forces, shear, and bending in 2D and 3D as well as solid sections subjected to the aforementioned forces.
The calculations made by CivilFEM correspond to the design recommendations of British Standard 5950 (1985) Structural use of steelwork in building: Part 1. Code of practice for design in simple and continuous construction.
10-C.2 Checking Types
With CivilFEM, it is possible to accomplish the following checking and analysis types:
· Checking of sections subjected to:
- Bending British Standard 5950 (1985) apt. 4.2
- Bending and Shear British Standard 5950 (1985) apt. 4.2
- Lateral Torsional Buckling British Standard 5950 (1985) apt. 4.3
- Axial Tension British Standard 5950 (1985) apt. 4.6
- Axial Compression British Standard 5950 (1985) apt. 4.7
- Axial Tension with Moments British Standard 5950 (1985) apt. 4.8.2
- Axial Compression with Moments British Standard 5950 (1985) apt. 4.8.3
10-C.3 Valid Element Types
The valid element types supported by CivilFEM are the following 2D and 3D ANSYS link and beam elements:
2D Link LINK1
3D Link LINK8
3D Link LINK10
2D Beam BEAM3
3D Beam BEAM4
3D Tapered Unsymmetrical Beam BEAM44
2D Tapered Elastic Unsymmetrical Beam BEAM54
3D Thin-walled Beam BEAM24
3D Elastic Straight Pipe PIPE16
3D Plastic Straight Pipe PIPE20
3D Finite Linear Strain Beam BEAM188
3D Quadratic Linear Strain Beam BEAM189
Moreover, it is possible to check solid sections captured from 2D or 3D models with a transversal cross section classified as “structural steel”.
10-C.4 Valid Cross-Section Types
The valid cross-sections supported by CivilFEM for checking according to British Standard 5950 (1985) are the following:
All the rolled shapes included in the program libraries (see the hot rolled shapes library and ~SSECLIB command)
The following welded beams: I shapes, U or channel shapes, T shapes, box, equal and unequal legs angles and pipes. (~SSECDMS command).
Structural steel sections defined by plates (command ~SSECPLT). Although the code does not contemplate them explicitly, these sections can be checked following the same general criteria and procedures specified in the code. The user is responsible for accepting these criteria and procedures.
Shapes from solid sections captured from 2D or 3D models with transverse cross sections classified as “structural steel”.
CivilFEM considers the above sections as sections composed of elements (plates), for example, an I section is composed by five elements or plates: four flanges and one web. In this way, checking according to British Standard 5950 (1985) is easier because this code analyses sections like that. Obviously, circular sections cannot be discomposed into elements so these sections are analyzed differently.
10-C.5 Reference Axis
With checks according to BS 5950 (1985), CivilFEM includes three different coordinate reference systems. All of these systems are right-handed:
1.
CivilFEM Reference Axis (
).
2.
Cross-Section Reference Axis (
).
3. BS 5950 (1985) Reference Axis (Code Axis), (
).The description of the first two coordinate systems can be found
in Chapter 5: Axis Orientation in Beam Sections

Figure 10-C.5‑1 Axis Orientation in Beam Sections
For the BS 5950 (1985) axis system:
The system origin coincides with the CivilFEM axis origin.
The
axis coincides with the CivilFEM X axis
The
axis is the principal axis for bending and its orientation is
defined by the user (~MEMBPRO and ~CHKSTL commands).
The YBS axis is perpendicular to the plane defined by the X and Y-axis to ensure a right-handed system.
To define this reference system, the user must indicate which of the CivilFEM axis: -Z, -Y, +Z or +Y coincides with the relevant axis for positive bending. The user may define this reference system with the commands: ~MEMBPRO when defining member properties for British Standard 5950 (1985) or ~CHKSTL when checking according to this code. However, in case of any contradiction, the adopted option will be the definition established with ~MEMBPRO command and the one introduced through ~CHKSTL command is neglected.
10-C.6 Data and Results used by CivilFEM
The British Standard 5950 (1985) considers all sections as composed of elements or plates. Therefore, there are two types of properties: those which correspond to the whole cross section and those which correspond to the individual section elements.
CivilFEM uses the following data and result groups for checking according to British Standard 5950 (1985):
· Data pertaining to sections: properties and dimensions of gross, net and effective sections; characteristics and dimensions of section elements.
· Code Properties.
· Properties at member level.
· Material properties.
· Forces and moments in the section.
· Checking results.
10-C.6.1 Section Data
BS 5950 (1985) considers the following data set for the cross section:
· Gross section data.
· Net section data.
· Effective section data.
· Data concerning the section and element class.
Gross section data correspond to the nominal properties of the cross-section.
From the net section, only the area is considered. This area is calculated by subtracting the area of holes for screws and rivets and other holes from the gross section area, taking into account the deduction for fastener holes according to section 3.4 of the code. The area of holes is introduced through the parameter AHOLES as a code property (see ~SECMDF command).
In the case of the effective section, the only data considered is the area; this value is attained from the net area by multiplying it by a coefficient Ke which depends on the type of steel selected.
The section and element class data are obtained using table 7 (section 3.5.2) of BS 5950 (1985), which limits the width to thickness ratios for each section class according to section type (hot-rolled or welded), element type (web or flange) and position (internal or external element). CivilFEM adopts the section class as the largest value from all the elements (least favorable).
A stress reduction factor (fr) is calculated for slender (class 4) sections. For other sections, no stress reduction factor is applied (fr=1).
The initial required data for the BS 5950 (1985) module includes the gross section data in user units and the CivilFEM axis or section axis (see the section corresponding to Reference axis in beam sections in Chapter 5 of this Manual). The data are then properly converted from the section’s axis into the BS 5950 (1985) axis and the results are given in the code axis. The program calculates the effective and net section data and the class data and stores the values in CivilFEM’s results file in user units and in the CivilFEM coordinate system. All of the data can be listed and plotted with ~CSLST and ~PRSTL commands.
The section data used in BS 5950-1985 is shown in the following tables:
I.- Section Dimensions
|
Description |
Data |
|
Input data: |
|
|
1.- Height |
H |
|
2.- Web thickness |
Tw |
|
3.- Flanges thickness |
Tf |
|
4.- Flanges width |
B |
|
5.- Distance between flanges |
Hi |
|
6.- Radius of fillet (Rolled shapes) |
r1 |
|
7.- Toe radius (Rolled shapes) |
r2 |
|
8.- Weld throat thickness (Welded shapes) |
a |
|
9.- Web free depth |
d |
|
Output data |
(None) |
I.- Section Resistant Properties
|
Description |
Data |
|
Input data: |
|
|
1.- Area |
A |
|
2.- Shear area for major axis (X) |
Avx |
|
3.- Sv parameter for major axis (X) |
Svx |
|
4.- Shear area for minor axis (Y) |
Avy |
|
5.- Sv parameter for minor axis (Y) |
Svy |
|
6.- Critical shear strength of web panel for major axis |
Vcrx |
|
7.- Critical shear strength of web panel for minor axis |
Vcry |
|
8.- Moments of inertia for torsion |
It |
|
9.- Moments of inertia for bending |
Ixx, Iyy |
|
10.- Product of inertia |
Ixy |
|
11.- Elastic resistant modulus |
Wx, Wy |
|
12.- Plastic resistant modulus |
Wpx, Wpy |
|
13.- Radius of gyration |
ix, iy |
|
14.- Coordinates of the center of gravity |
Ymin, Ymax, Xmin, Xmax |
|
15.- Distance between GC and SC in X and in Y |
Xms, Yms |
|
16.- Distance CG to shear center along Y axis |
Ys |
|
17.- Distance CG to shear center along X axis |
Xs |
|
18.- Warping Constant |
Iw |
|
19.- Shear resistant areas |
Yws, Xws |
|
20.- Torsional resistant modulus |
Zwt |
|
Output Data: |
|
|
1.- Y coordinate of plastic center |
Yp |
|
2.- X coordinate of plastic center |
Xp |
|
3.- Stress Reduction Factor |
fr |
|
4.- Maximum thickness |
EPSmax |
|
5.- N Parameter |
NsupCmp |
|
6.- Section Class |
Cls |
|
7.- Web class for shear buckling check (X axis) |
ClsAlmX |
|
8.- Web class for shear buckling check (Y axis) |
ClsAlmY |
|
* The section properties listed here in are related to the BS coordinate system (XBS, YBS, ZBS) |
|
III.- Net section data
|
Description |
Data |
|
Input data: |
|
|
1.- AHOLES* |
|
|
Output data: |
|
|
1.- Net area |
An |
|
|
|
* Deduction for holes are introduced as a code property (see chapter 5 of this manual)
IV.- Effective section data
The effective
area is obtained by multiplying the previously obtained net area by a
coefficient
, dependent on the material properties (see chapter 3 of this
manual).
|
Description |
Data |
|
Input data: |
|
|
1.- Net Area |
Anet |
|
2.- Ke |
Ke |
|
Output data: |
|
|
1.- Effective Area |
Ae |
|
* |
|
V.- Section element data
|
Description |
Data |
|
Input data: |
|
|
1.- Number of elements |
N |
|
2.- Element type: flange or web (for the relevant axis of bending) |
Pltype |
|
3.- Union condition at the ends: free or fixed |
Cp1, Cp2 |
|
4.- Element thickness |
t |
|
5.- Coordinates of the extreme points of the element (using Section axis) |
Yp1, Yp2, Zp1, Zp2 |
|
Output data: |
|
|
7.- Element class |
Cl |
|
6.- Reduction factor |
fr |
|
8.- Web Class |
Webclass |
10-C.6.2 Member Properties
The data used at member level by BS 5950 (1985) is shown in the following table. All of the data are stored with the section data in user units and in the CivilFEM coordinate system. (Parameters L, Kcxy, Kcxz, KLtxy, KLtxz, CFBUCKXY, CFBUCKXZ CteRob, n, m, DL and CHCKAXIS of the ~MEMBPRO command).
Table 10-C.6‑1 Member Properties
|
Description |
Data |
Article |
|
Input data: 1.- Unbraced length of member 2.- Compression buckling factor for plane XY 3.- Compression buckling factor for plane XZ 4.- Lateral torsional buckling factor for plane XY 5.- Lateral torsional buckling factor for plane XZ 6.- Buckling factors for planes XY and XZ 7.- Robertson Constant 8.- Equivalent uniform moment factor 9.- Slenderness correction factor 10.- Depth of the lip 11.- CivilFEM Axis which is the X axis in BS 5950 (1985) 0: Not defined 1: -Z CivilFEM 2: +Y CivilFEM 3: +Z CivilFEM 4: -Y CivilFEM |
L Kcxy Kcxz Kltxz Cfbuckxy, Cfbuckxz
CteRob m n DL CHCKAXIS |
Section 4.7.2 Section 4.7.2 Section 4.3.5 Section 4.3.5
Appendix C.2 Section 4.3.7.6 Section 4.3.7.6 Section 4.3.7.5
|
|
Output data: |
|
|
10-C.6.3 Material Properties
Checking according to BS 5950 (1985) uses the following material properties and the code refers to BS 4360:
Table 10-C.6‑2 Material properties
|
Properties, Symbol |
|
|
Specified minimum yield strength |
|
|
Specified minimum ultimate tensile strength |
|
|
Design strength (from table 6, 3.1.1) |
|
|
Modulus of elasticity |
|
|
Poisson’s ratio |
|
|
Coefficient of linear thermal expansion |
|
|
Effective/net area ratio (section 3.3.3) |
|
|
Material strength factor |
|
|
Constant є |
|
|
Shear Modulus |
G |
*th =thickness of plate considered
Notes:
1. From the coefficients above, those used by ANSYS are the steel elasticity modulus E, Poisson’s ratio n, and the coefficient of linear thermal expansion a.
2.
The value of the material strength factor
is taken as 1 (section 2.1.1).
3.
The standard utilizes other safety coefficients
such as
,
and
, which depend on the type of load and are input by the user
manually in the load combination module.
4. The constant є is calculated by CivilFEM and stored in the material properties.
10-C.6.4 Forces and Moments
The forces applicable for each check are obtained from the CivilFEM results file (.RCV) for the selected load step and substep. CivilFEM performs the necessary operations to convert the data to BS 5950 (1985) units, axis and criteria of, including sign-changes according the conventions used in the standard. Internally, CivilFEM performs analyzes using the standard’s units and conventions.
The forces and moments considered are shown in the following table. The forces and moments represented below refer to the BS 5950 (1985) axis (relevant axis for bending X). All the terms are the used by the code.
Table 9.7-3 Forces and moments
|
External Load |
Description |
|
F |
Axial force |
|
FVX |
Shear force about major axis (X) |
|
FVY |
Shear force about minor axis (Y) |
|
MX |
Bending moment about major axis |
|
MY |
Bending moment about minor axis |
10-C.7 Checking Process
The steps for the checking process are the following:
1. Read the checking type requested by the user.
2. Read the CivilFEM axis that is going to be considered as the principal bending axis, so that it coincides with the X axis of BS5950. In CivilFEM, by default, the principal bending axis that coincides with the +X axis of BS 5950 (1985) is the –Z axis.
3. The following operations are necessary for each selected element:
a. Obtain material properties corresponding to the element, stored in
CivilFEM database, and calculate the rest of the properties needed for
checking:
Properties obtained from CivilFEM database (~CFMP
command):
|
Elasticity modulus |
E |
|
Poisson’s ratio |
n |
|
Yield strength |
Ys |
|
Ultimate strength |
Us |
|
Design strength |
|
|
Ke parameter |
Ke |
|
Safety factor |
|
Calculated properties:
Shear Modulus:
![]()
Epsilon, material coefficient:
(
en
N/mm2)
b. Obtain the cross-section data corresponding to the element.
c. Determine the section class.
d. Calculate reduction factors to be applied to the design strength in the case of slender sections (class 4).
e. Obtain forces acting on the section (Fx, Fvx, Fvy, Mx, My).
f. Check specific sections according to the type of external load.
g. Store results in the CivilFEM results file (.RCV) as an alternative.
10-C.7.1 General Processing of Sections. Section Class and Reduction Factor Calculation.
BS 5950 (1985) considers sections composed of different elements, which can be classified according to:
a) The way they work:
Webs and flanges in the X and Y axis, depending on which is the principal bending axis.
The classification of the elements according to the way they work (webs or flanges) is included in the program section library. In other cases the user can specify it or, by default, the program will automatically determine it as a function of the angle a with respect to the principal axis of bending, following the below criterion:
For
Web
For
Flange
b) Their relation to the other elements:
Internal or outside elements
The sections of the shapes included in the program libraries contain this information for each element. CivilFEM classifies the element as either a flange or web according to its axis and provides the element union condition for each end. The ends can be classified as fixed or free (i.e. an end is fixed if it is in contact with another plate and free if it is not).
For checking the structure for safety, BS 5950 (1985) classifies cross sections into four different classes according to their width to thickness ratio (section 3.5.2):
|
Class 1 |
Plastic cross sections are those in which a plastic hinge can be developed with sufficient rotation capacity to allow redistribution of moments within the structure. |
|
Class 2 |
Compact cross sections are those in which the full plastic moment capacity can be developed but local buckling may prevent development of a plastic hinge with sufficient rotation capacity to permit plastic design. |
|
Class 3 |
Semi-compact sections are those in which the stress at the extreme fibers can reach the design strength but local buckling may prevent the development of the full plastic moment. |
|
Class 4 |
Slender sections are those which contain slender elements subject to compression due to moment or axial load. Local Buckling may prevent the stress in a slender section from reaching the design strength. |
The cross-section class is the highest (least favorable) class of all the elements: flanges and webs (plates). The class of each element is first determined according to the limits of table 7 of BS 5950 (1985). According to this table, the class of an element depends on:
1. The width to thickness ratio.
Rd = Width / Thickness
2. The limits of this ratio, according to the type of section, element and position. The elements whose ratio exceeds the limits specified in this table are considered to be class 4. The limits are the following (refer to figure 3 of the code for dimensions):
· Sections Built Up by Welding:
|
Type of element |
Element Class |
||
|
Class 1 |
Class 2 |
Class 3 |
|
|
Flange, external |
|
|
|
|
Flange, internal |
|
|
|
|
Web, internal* |
|
|
If
If
If note at the end |
|
Stem of T-section |
|
|
|
* Check webs for shear buckling in
accordance with section 4.4.5 of the code when
(see
section 9.8.2 of this manual)
· Rolled Sections:
|
Type of element |
Element Class |
||
|
Class 1 |
Class 2 |
Class 3 |
|
|
Flange, external |
|
|
|
|
Flange, internal |
|
|
|
|
Web, internal* |
|
|
If
If
If |
|
Stem of T-section |
|
|
|
* Check webs for shear buckling in
accordance with section 4.4.5 of the code when
(
see section 9.8.2 of this manual)
· Angular Sections:
|
Angular sections |
Element Class |
||
|
Class 1 |
Class 2 |
Class 3 |
|
|
|
|
|
and
|
* where b and d are the different widths and t is the thickness
3. Apart from the type of section, element and position, the limits of the width to thickness ratio also depend on the material parameter e, the stress distribution along the element and the parameter a, which are represented by the following relationships.
![]()
![]()
Where:
|
|
Distance from the plastic neutral axis to
the edge of the web connected to the compression flange. If |
|
|
Design resistance of the material. |
|
|
Mean longitudinal stress in the web. Compression is positive and tension is negative. |
·
Note: If
the code does not specify how to determine the element class.
Analyzing the expression
, we can observe that the element is experiencing tension throughout
from
. The code takes
as a limit value and therefore, the program assumes that for
, the element is having tension throughout and assigns class 1 to
the element.
· Tubular Sections:
In the case of a circular tube subject to moment or axial compression, the class of the section is determined directly as if it were a single element, using the Rd and the following limits:
![]()
|
D |
External diameter. |
|
t |
Thickness. |
|
Element Class |
|||
|
Class 1 |
Class 2 |
Class 3 |
|
|
|
|
|
|
Note: For cross
sections where the web has a width/thickness relationship (Rd) greater than
(shear slender web), the code recommends that these cross sections
should be checked for shear buckling, according to art. 4.4.5 of the code. For
this case, a web classification (Webclass) is established.
Stress Reduction Factor (fr) Calculation for Slender Elements
According to BS
5950 (1985), when designing for slender sections in compression, the material
design strength ry has to be multiplied by a reduction
factor
(BS 5950 (1985) part 1, section 3.6.4).
The method to determine the reduction factor of the section is the following:
1. The reduction factor of each element (flanges) of the section is determined in the table below.
2. The smallest of these reduction factors is used as the overall reduction factor of the section.
Table 10-C.7‑1 Stress reduction factor for slender elements (fr)
|
Element type |
Section type |
Reduction factor |
|
External flange |
welded |
|
|
rolled |
|
|
|
Internal flange |
welded |
|
|
rolled |
|
|
|
Legs of single angle and double angle members with components separated |
|
the lesser of
and
|
|
Outstand legs of double angle members with angles in contact back to back |
|
|
|
Stems of T-sections |
|
|
The dimensions b, d, t and T are as defined in figure 3 of BS 5950 (1985) part 1.
10-C.7.2 Checking of Bending Moment and Shear Force (BS 4.2.5 and 4.2.6)
1.
Forces and moments selection.
The forces and moments considered for this checking type are:
|
|
Design value of the shear force perpendicular to the relevant axis of bending. |
|
|
Design value of the bending moment along the relevant axis of bending. |
2. Class determination and calculation of the design strength reduction
factor for slender sections (for all other section class
).
3. Criteria Calculation:
For members subjected to bending moment and shear force:
3. Shear checking (Article 4.2.3 of BS 5950 (1985))
The first condition to be checked is the shear criteria at each section:
à ![]()
Where:
|
|
Design value of the shear capacity: |
|
|
Design strength of the material (reduced for slender sections). |
|
|
Shear area, obtained by subtracting the summation of the area of the flanges from the gross area. |
Shear Area Calculation (AV)
According to section 4.2.3, the shear area is calculated as follows:
|
Section type |
Shear area |
|
Rolled I, H and channel sections, load parallel to web. |
|
|
Built-up sections and boxes, load parallel to webs. |
|
|
Solid bars and plates. |
|
|
Rectangular hollow sections, load parallel to webs. |
|
|
Circular hollow sections. |
|
|
Any other case. |
|
where:
|
t |
Total web thickness |
|
B |
Breadth |
|
D |
Overall depth |
|
d |
Depth of the web |
|
A |
Area of the section |
|
|
Area of the rectilinear element of the section with the largest dimension in the direction parallel to the load
|
In the case of biaxial bending, both shear areas, perpendicular to the standard’s X- and Y-axis, are calculated.
3.2 Shear buckling resistance of thin webs (Article 4.4.5)
If the section’s web is class 4 (i.e. slender, d/t ≥ 63є), it should be checked for shear buckling and satisfy the following criterion:
![]()
![]()
Where:
|
|
Shear buckling resistance (summation extended to all section webs). |
|
|
Critical shear strength. |
|
d |
Depth of the web. |
|
t |
Thickness of the web. |
The
critical shear strength is obtained from tables 21(a) to (d) from BS 5950
(1985) part 1 where
) and a is the distance between stiffeners. The program takes
the stiffener spacing as infinity.
These
tables are only defined for the following design strength of the material:
,
,
,
,. For the remaining values of design strength, the program adopts
the following tables for the calculation of
:
Table 10-C.7‑2 Determination of Critical Shear Strength (qcr)
|
ry (N/mm2) |
Grade 40 Thickness (mm) |
Grade 43 Thickness (mm) |
Grade 50 Thickness (mm) |
Grade 55 Thickness (mm) |
Grade WR50A Thickness (mm) |
Grade WR50B Thickness (mm) |
Grade WR50C Thickness (mm) |
Adopted Table (*) |
|
450 |
|
|
|
16 |
|
|
|
21 d |
|
430 |
|
|
|
25 |
|
|
|
21 d |
|
415 |
|
|
|
40 |
|
|
|
21 d |
|
355 |
|
|
16 |
|
|
|
|
21 d (*) |
|
345 |
|
|
40 |
|
12 |
12/25/40 |
12/25/40 |
21 c |
|
340 |
|
|
63 |
|
|
50 |
63 |
21 c (*) |
|
325 |
|
|
100 |
|
25/40 |
|
|
21 c |
|
275 |
|
16 |
|
|
|
|
|
21 b (*) |
|
265 |
|
40 |
|
|
|
|
|
21 a (*) |
|
260 |
16 |
|
|
|
|
|
|
21 a |
|
255 |
|
63 |
|
|
|
|
|
21 a |
|
245 |
40 |
100 |
|
|
|
|
|
21 a |
|
240 |
63 |
|
|
|
|
|
|
21 a |
|
225 |
100 |
|
|
|
|
|
|
21 a |
* The code only establish these four tables.
If the web of the section is not slender (d/t<63):
![]()
3.3 Bending moment check
Besides the shear checking, the following condition at each section is checked (Articles 4.2.5 and 4.2.6 of BS 5950 (1985)):
à ![]()
![]()
Where:
|
|
Moment capacity. |
|
|
Stress reduction factor. |
|
|
Bending resistant modulus. |
The reduction of the bending resistant modulus due to the effect of shear load is only applied if the shear load is above 60% of shear capacity of the section:
![]()
The bending resistant modulus is obtained is following:
a. For slender and semi-compact sections:
![]()
b. For plastic and compact sections:
If ![]()
![]()
If ![]()
![]()
![]()
If
then ![]()
Where:
|
Z |
Elastic resistant modulus of the section. |
|
S |
Plastic resistant modulus of the section. |
|
|
Parameter to obtain the plastic reduced modulus due to the effect of shear force. |
Sv Parameter Calculation
The Sv calculation is done following the expression below:
![]()
Where:
|
S |
Plastic resistant modulus of the section: |
|
|
Plastic modulus of the section remaining after deduction of the
shear area: |
4. Calculation of the total criterion:
![]()
5. Output results are written in the CivilFEM results file (.RCV) as an alternative. Checking results: criteria and variables are described in the following table:
Table 10-C.7‑3 Art. 4.2 Checking of Bending Moment and Shear Force
|
Result |
Concepts |
Articles |
Description |
|
MX |
|
|
Design value of the bending moment |
|
MC |
Mc |
4.2.5 and 4.2.6 |
Moment capacity |
|
FV |
Fv |
|
Design value of the shear force |
|
PV |
Pv |
4.2.3 |
Design value of the shear capacity |
|
CRT_V |
|
4.2.3 |
Shear criterion |
|
CRT_PV |
|
4.4.5 |
Buckling web criterion |
|
CRT_M |
|
4.2.5 and 4.2.6 |
Bending criterion |
|
CRT_TOT |
|
|
BS Global criterion |
|
CLASS |
|
3.5.2 |
Section class |
|
WEBCLASS |
|
3.5.2 |
Web Class |
|
MDF |
Mdf |
4.2.5 |
Plastic or elastic modulus of the section |
|
VCR |
|
4.4.5 |
Shear buckling resistance |
10-C.7.3 Checking of Lateral Torsional Buckling Resistance (BS 4.3)
1. Forces and moments selection.
The forces and moments considered in this check are:
|
|
Design value of the bending moment about the relevant axis of bending. |
2. Class determination.
3. Criteria calculation.
When checking for lateral torsional buckling (LTB) of beams the criterion shall be taken as:

![]()
Where:
|
|
Equivalent uniform moment |
|
|
Lateral torsional buckling resistance moment |
|
m |
Equivalent uniform moment factor, assumed as 1 by default. Must be entered as a member property. |
|
|
Maximum bending moment on the member or the portion of the member under consideration |
Determination of the buckling resistance moment Mb (Article 4.3.7 and Appendix B.2)
The value of Mb may be determined from:

![]()
Where:
|
Mp |
Plastic moment capacity |
|
Sx |
Plastic modulus about the major axis (X axis of the British Standard). |
|
|
Design strength of the material. |
|
|
Elastic critical moment: |
|
|
Perry coefficient. |
The
Perry coefficient
for lateral torsional buckling should be taken as follows:
a) For rolled sections:
with ![]()
b) For welded sections:
with:
|
|
|
|
|
|
Where:
|
|
Limiting equivalent slenderness. |
|
|
|
|
|
Is a constant taken as 0.007. |
|
|
Equivalent slenderness. |
Equivalent slenderness determination for Plate Girders
The equivalent slenderness
for plate girders should be taken as:
![]()
![]()
Where:
|
n |
Slenderness correction factor. Introduced by the user as a member property. By default its value is 1.0. |
|
v |
Slenderness factor. |
|
u |
Buckling parameter. |
The buckling parameter u is taken as following for sections symmetrical about one axis:

Where:
|
|
Second moment of area about the minor axis |
|
Sx |
Plastic modulus about the major axis |
|
|
Factor |
|
A |
Cross sectional area of the member |
|
H |
Warping constant |
The slenderness factor v is given by:

![]()
Where:
|
|
second moment of area of the compression flange about the minor axis of the section |
|
|
second moment of area of the tension flange about the minor axis of the section |
|
|
monosymmetry index, for I and T sections with lipped flanges |
The monosymmetry index ψ is taken as follows:
For ![]()
For ![]()
Where:
|
D |
Overall depth of the section. |
|
DL |
Depth of the lip (Member property). By default DL=0. |
The torsional index x is taken as follows.

Where:
|
J |
torsional constant |
Equivalent slenderness determination for Box Sections
The
equivalent slenderness,
, for box sections is taken directly from the expression below:
![]()

![]()
Box
Sections with uniform wall thickness need not be checked for lateral torsional
buckling effects, provided that
is not greater than the limiting values of
given in table 38 of the Appendix B.2 of the code.
Table 10-C.7‑1 Slenderness limit
|
D/B |
Slenderness Limit λ |
|
1 |
infinite |
|
2 |
|
|
3 |
|
|
4 |
|
Determination of the buckling resistance moment Mb for Single Angles (Article 4.3.8)
The buckling resistance moment for a single angle is taken as:
for ![]()
for ![]()
for ![]()
Where:
|
Z |
Elastic modulus about the relevant axis. |
|
|
Radius of gyration about the weakest axis. |
|
L |
Unrestrained length. |
Note: Generic steel sections defined by plates do not have specific guidelines set by the code for checking lateral torsional buckling. Therefore, these kinds of sections will not be checked by the program for lateral torsional buckling.
Table 10-C.7‑4 Art. 4.3 Checking of Lateral Torsional Buckling Resistance
|
Result |
Concepts |
Articles |
Description |
|
MB |
Mb |
B.2 and 4.3.8 |
Buckling resistance moment |
|
UNF_MOMT |
|
4.3.7.2 |
Equivalent uniform moment |
|
M |
m |
4.3.7.6 |
Equivalent uniform moment factor |
|
LAMBDA |
Lambda |
4.3.7.5 |
Slenderness |
|
LAMBDALT |
LambdaLT |
4.3.7.5 |
Equivalent slenderness |
|
LAMBDALO |
LambdaLO |
B.2.4 |
Limiting equivalent slenderness |
|
CRT_TOT |
|
4.3.7.1 |
Global criterion |
|
CLASS |
|
3.5.2 |
Section class |
|
WEBCLASS |
|
3.5.2 |
Web’s class |
10-C.7.4 Checking of Members in Axial Tension (BS 4.6)
1.
Forces and moments selection.
The forces and moments considered for this checking type are:
|
|
Design value of the axial force (positive if it is tensile, element not processed if compressive) |
2. Class determination.
3.
Criteria calculation.
For members under axial tension, the general criterion Crt_TOT is checked at
each section. This criterion coincides with the axial criterion Crt_N:
à ![]()
Where:
|
Pt |
Tension capacity: Pt = |
|
Ae |
Effective area of the section (see section 3.3.3 of the BS). |
|
|
Design strength of the material. |
4. Output results are written in the CivilFEM results file (.RCV) as an alternative. Checking results: criteria and variables are described in the following table:
Table 10-C.7‑5 Art. 4.6 Checking of Members in Axial Tension
|
Result |
Concepts |
Articles |
Description |
|
F |
F |
4.6.1 |
Tension Force |
|
PT |
Pt |
4.6.1 |
Tension capacity |
|
CRT_TOT |
|
4.6.1 |
Global criterion |
10-C.7.5 Checking of Members in Axial Compression (BS 4.7)
1.
Forces and moments selection.
The forces and moments considered for this checking type are:
|
|
Design value of the axial force (negative if it is compressive, if it is tensile, the element is not processed). |
2. Class determination and calculation of the material resistance
reduction factor in the case of slender sections (for all other cases
).
3. Criteria calculation.
For members under axial compression, the general criterion Crt_TOT is checked at each section. This criterion coincides with the axial compression criterion Crt_CB:
à ![]()
Where:
|
F |
Axial compression force. |
|
Pc |
Compressive resistance: |
|
Ag |
Gross sectional area. |
|
rc |
Compressive strength. |
The compressive strength may be obtained from (see appendix C):

![]()
Where:
|
|
Design strength (factored depending on the section’s class) should be reduced by 20N/mm2, therefore: for class 1, 2, or 3 welded sections: for class 4 welded sections: |
|
|
Euler strength: |
|
E |
Material elasticity modulus. |
|
|
Slenderness |
|
|
Effective length: |
|
|
Radius of gyration about the relevant axis. |
|
L |
Actual length of the member. |
|
|
Correction factors for planes XZ and YZ. |
The Perry coefficient, η, for flexural buckling under load should be taken as follows:
a![]()
Where lo is the limiting slenderness:

The constant a (Robertson constant) is determined by the program from the type of section and buckling axis, according to table 25 of the BS 5950 (1985). However, if the user introduces a value for this constant in member properties, the program user’s value will precedence over the value determined by the.
|
a = |
2.0 for table 27 (a) |
|
a = |
3.5 for table 27 (b) |
|
a = |
5.5 for table 27 (c) |
|
a = |
8.0 for table 27 (d) |
To distinguish between I and H shapes, the program follows the criteria below:
4.
I shapes if ![]()
5.
H shapes if ![]()
6. Output results are written in the CivilFEM results file (.RCV) as an alternative. Checking results: criteria and variables are described in the following table.
Table 10-C.7‑6 Art. 4.7 Checking of Members Axial Compression
|
Result |
Concepts |
Articles |
Description |
|
F |
F |
4.7 |
Compression Force |
|
PC |
|
4.7.4 |
Compression capacity |
|
RHOC |
|
4.7.5 |
Compression Resistance |
|
LAMBDA |
Lambda |
4.7.3 |
Slenderness |
|
LAMBDA0 |
Lambda0 |
C.2 |
Limiting slenderness |
|
PERRYFCT |
NU |
C.2 |
Perry factor |
|
ROBERSTS |
a |
C.2 |
Robertson constant |
|
CRT_TOT |
|
4.7 |
Global criterion |
|
WEBCLASS |
|
3.5.2 |
Web class |
|
CLASS |
|
3.5.2 |
Section class |
10-C.7.6 Tension Members with Moments (BS 4.8.2)
1. Forces and moments selection.
The forces and moments considered for this checking type are:
|
|
Design value of the axial force. |
|
|
Design value of the bending moment along the primary bending axis. |
|
|
Design value of the bending moment about the secondary bending axis. |
2. Class determination (for members with a tension force and moments, the design strength py isn’t reduced for slender sections).
3. Criteria calculation.
Each section of a member subjected to an axial tension force and bending moments should be checked for the same conditions as a member subjected to a shear force and bending moments.
Therefore, for this type of checking, the following conditions are checked:
3.1 Shear checking in both directions.
![]()
![]()
Where:
|
Fvx and Fvy |
Shear forces about X and Y axis. |
|
Fvx and Fvy |
Shear capacity about X and Y axis. |
3.2 Shear buckling resistance of shear webs.
![]()
![]()
Where Vcrx and Vcry are the shear buckling resistance respect to X and Y axis, respectively:
![]()
![]()
3.3 Checking of axial force and bending moments.
Each section is checked according to the following condition:

Equivalent to:
![]()
![]()
![]()

Where:
|
F |
Axial force. |
|
|
Bending moment about major axis. |
|
|
Bending moment about minor axis. |
|
|
Effective area of the section. |
|
|
Design strength of the material. |
|
|
Moment capacity about major axis. |
|
|
Moment capacity about minor axis. |
Mcx and Mcy are calculated according to the Articles 4.2.5 and 4.2.6 of BS 5950 (1985).
For this checking type (moments in both directions), the shear area, the plastic modulus and the Sv parameter are calculated with respect to both directions (X and Y axis).
3.3 Checking of global criterion.
![]()
4. Output results are written in the CivilFEM results file (.RCV) as an alternative. Checking results: criteria and variables are described in the following table.
Table 10-C.7‑7 Art. 4.8.2 Checking of Tension Members with Moments
|
Result |
Concepts |
Articles |
Description |
|
F |
F |
|
Axial tension force |
|
MX |
|
4.2.5 |
Bending moment about major axis |
|
MY |
|
4.2.5 |
Bending moment about minor axis |
|
FVX |
|
|
Shear force about major axis |
|
FVY |
|
|
Shear force about minor axis |
|
PVX |
|
4.2.3 |
Shear capacity about major axis |
|
PVY |
|
4.2.3 |
Shear capacity about minor axis |
|
PT |
|
4.6.1 |
Axial Tension Capacity |
|
MCX |
|
4.2.5, 4.2.6 |
Moment capacity about major axis |
|
MCY |
|
4.2.5, 4.2.6 |
Moment capacity about minor axis |
|
CRT_AXL |
F/ |
4.8.2 |
Axial Criterion |
|
CRT_VX |
|
4.2.3 |
Shear Criterion about major axis |
|
CRT_VY |
|
4.2.3 |
Shear Criterion about minor axis |
|
CRT_MX |
|
4.2.5, 4.2.6 |
Bending Criterion about major axis |
|
CRT_MY |
|
4.2.5, 4.2.6 |
Bending Criterion about minor axis |
|
CRT_PVX |
|
4.4.5 |
Buckling web Criterion about major axis |
|
CRT_PVY |
|
4.4.5 |
Buckling web Criterion about minor axis |
|
CRT_CMP |
Crt_AXL+ Crt_MX+ Crt_MY |
4.8.2 |
Axial + moments Criterion |
|
SVX |
|
4.2.6 |
Sv parameter for major axis |
|
SVY |
|
4.2.6 |
Sv parameter for minor axis |
|
CRT_TOT |
|
4.8.2 |
Global criterion |
|
AVX |
|
4.2.3 |
Shear Area for major axis |
|
AVY |
|
4.2.3 |
Shear Area for minor axis |
|
VCRX |
|
4.4.5 |
Shear buckling resistant for major axis |
|
VCRY |
|
4.4.5 |
Shear buckling resistant for minor axis |
|
MDFX |
|
4.2.6 |
Resistant modulus for major axis |
|
MDFY |
|
4.2.6 |
Resistant modulus for minor axis |
|
ZX |
|
4.2.6 |
Elastic Modulus about major axis |
|
SX |
|
4.2.6 |
Plastic Modulus about major axis |
|
ZY |
|
4.2.6 |
Elastic Modulus about minor axis |
|
SY |
|
4.2.6 |
Plastic Modulus about minor axis |
|
CLASS |
|
3.5.2 |
Sections class |
|
WEBCLASS |
|
3.5.2 |
Web class |
10-C.7.7 Compression Members with Moments (BS 4.8.3)
1. Forces and moments selection.
The forces and moments considered for this checking type are:
|
|
Design value of the axial force. |
|
|
Design value of the shear force perpendicular to the primary bending axis. |
|
|
Design value of the shear force perpendicular to the secondary bending axis. |
|
|
Design value of the bending moment along the primary bending axis. |
|
|
Design value of the bending moment about the secondary bending axis. |
2. Class determination (for members with a compressive force and moments, the design strength py isn’t reduced for slender sections).
3. Criteria calculation.
Compression members are checked for local capacity at the points of greatest bending and axial load. This capacity may be limited either by yielding or local buckling depending on the section properties. The member is then checked for overall buckling.
Therefore, for this checking type contains the following conditions:
3.1 Local Capacity Check
3.1.1 Axial Criterion
![]()
Where:
|
F |
Axial load. |
|
Fc |
Compresión capacity |
3.1.2 Local criteria as for Tension Members with Moments
Bending criterion (primary axis)= Crt_MX_L
Bending criterion (secondary axis)= Crt_MY_L
Shear criterion about major axis= Crt_VX
Shear criterion about minor axis = Crt_VY
Buckling web Criterion about major axis = Crt_PVX
Buckling web Criterion about minor axis = Crt_PVY
![]()
3.1 Overall Buckling Check
3.1.1 Axial Criterion (Buckling)
![]()
Where:
|
F |
Design value of the axial compressive force. |
|
|
Compression resistance: Pc = Ag·rc |
|
|
Gross section area. |
|
|
Compressive strength. |
3.1.2 Bending Moment Criterion (Primary axis)
![]()
Where:
|
m |
Equivalent uniform moment factor. Introduced as a member property. By default m=1. |
|
|
Bending moment about major axis. |
|
|
Buckling resistance moment capacity about the major axis. |
3.1.3 Bending Moment Criterion (secondary axis)

Where:
|
m |
Equivalent uniform moment factor. Introduced as a member property. By default m=1. |
|
|
Bending moment about minor axis. |
|
|
Design strength of the material. |
|
|
Elastic modulus about the minor axis. |
3.1.4 Component Global Criterion
![]()
3.1 Total Criterion
![]()
4. Output resultsare written in the CivilFEM results file (.RCV) as an alternative. Checking results: criteria and variables are described in the following table.
Table 10-C.7‑8 Art. 4.8.3 Checking of Compression Members with Moments
|
Results |
Concepts |
Articles |
Description |
|
F |
F |
|
Design value of the axial compressive force |
|
PC |
|
4.7.4 |
Compression resistance |
|
FVX |
|
|
Shear force about major axis |
|
MX |
|
|
Bending moment about major axis |
|
ZX |
|
4.2.6 |
Elastic Modulus about major axis |
|
SX |
|
4.2.6 |
Plastic Modulus about major axis |
|
SVX |
|
4.2.6 |
Sv parameter for major axis |
|
AVX |
|
4.2.3 |
Shear Area for major axis |
|
VCRX |
|
4.4.5 |
Shear buckling resistant for major axis |
|
MDFX |
|
4.2.6 |
Resistant modulus for major axis |
|
PVX |
|
4.2.3 |
Shear capacity about major axis |
|
MCX |
|
4.2.5, 4.2.6 |
Moment capacity about major axis |
|
FVY |
|
|
Shear force about minor axis |
|
MY |
|
|
Bending moment about minor axis |
|
ZY |
|
4.2.6 |
Elastic Modulus about minor axis |
|
SY |
|
4.2.6 |
Plastic Modulus about minor axis |
|
SVY |
|
4.2.6 |
Sv parameter for minor axis |
|
AVY |
|
4.2.3 |
Shear Area for minor axis |
|
VCRY |
|
4.4.5 |
Shear buckling resistant for minor axis |
|
MDFY |
|
4.2.6 |
Resistant modulus for minor axis |
|
PVY |
|
4.2.3 |
Shear capacity about minor axis |
|
MCY |
|
4.2.5, 4.2.6 |
Moment capacity about minor axis |
|
M |
M |
4.8.3.3 |
Equivalent uniform moment factor |
|
LAMBDA |
Lambda |
4.3.7.5 |
Slenderness |
|
LAMBDA0 |
Lambda0 |
C.2 |
Limiting slenderness |
|
LAMBDALT |
LambdaLT |
4.3.7.5 |
Equivalent slenderness |
|
LAMBDAL0 |
LambdaL0 |
B.2.4 |
Limiting equivalent slenderness |
|
PERRYFCT |
NU |
C.2 |
Perry Factor |
|
MB |
|
4.3.7 |
Buckling resistance moment capacity |
|
CRT_TOT |
Max(Crt_CM_L, Crt_CM_O, Crt_VX,Crt_VY...) |
4.8.3 |
Total Criterion |
|
CRT_CM_L |
Crt_AX_L + Crt_MX_L + Crt_MY_L |
4.8.3 |
Local Axial + moments Criterion |
|
CRT_CM_O |
Crt_AX_O + Crt_MX_O + Crt_MY_O |
4.8.3 |
Global Axial + moments Criterion |
|
CRT_AX_L |
F/ |
4.8.3 |
Local axial criterion |
|
CRT_MX_L |
|
4.2.5, 4.2.6 |
Local bending moment criterion about X axis |
|
CRT_MY_L |
|
4.2.5, 4.2.6 |
Local bending moment criterion about Y axis |
|
CRT_AX_O |
F/ |
4.8.3 |
Global axial criterion |
|
CRT_MX_O |
|
4.8.3 |
Global bending moment criterion about X axis |
|
CRT_MY_O |
|
4.8.3 |
Global bending moment criterion about Y axis |
|
CRT_VX |
|
4.2.3 |
Shear criterion about X axis |
|
CRT_PVX |
|
4.4.5 |
Buckling web Criterion about major axis |
|
CRT_VY |
|
4.2.3 |
Shear criterion about Y axis |
|
CRT_PVY |
|
4.4.5 |
Buckling web Criterion about minor axis |
|
CLASS |
Class |
3.5.2 |
Section Class |
|
WEBCLASS |
Webclass |
3.5.2 |
Web Class |












