# Steel Checks to AS 4100
The steel design check supports the AS 4100-2020 version
# Input data
All cases provided to the checker are assumed to be ultimate limit state (i.e. the member forces are fully factored). Any non ULS cases – e.g. unfactored wind load – will be treated as if they are ULS, and so will result in non-conservative utilizations.
Effective Section Properties
Members subjected to bending are classified as Compact, Non-compact and Slender sections in accordance with AS4100:2020 clause 5.2 and Table 5.2. The effective section modulus is computed using the appropriate clause from AS4100:2020 5.2.3, 5.2.4 and 5.2.5.
Members subjected to axial compression are classified as Compact, Non-compact and Slender sections in accordance with AS4100:2020 clause 6.2.3
# Local Checks
Sections are checked at the ends of every sub-span of the member for the moments and forces acting on it.
Shear
Shear is checked according to AS4100:2020 clause 5.11. While calculating the shear strength steel checker assumes that the section web is unstiffened.
The shear area is calculated based on clear web depth between flanges for the welded sections, and based on full web depth for rolled section. For RHS and Box sections the shear area is based on two clear web depths.
Shear capacities are reduced to account for moment in the direction of shear force according to AS4100:2020 5.12.3
Bending moment
Moment capacity at a section is calculated in accordance AS4100:2020 clause 5.2.1. See Effective Section Properties for details on calculation of effective section modulus.
Axial Force
Compression capacity at a section is calculated in accordance with AS4100:2020 clause 6.2.1. See Effective Section Properties for details on calculation of effective area of section.
Tension capacity at a section is calculated in accordance with AS4100:2020 clause 7.2 and 7.3. Sections in tension use the user defined ‘Net Area Ratio’.
Torsion
At present, any significant torsional moment (greater than 5% of the torsional capacity) produces a warning.
Combined local effects
The section is checked against all the applied forces using the equations in AS4100:2020 clause 8.3.4. The choice of equations used depends on the section shape and the section’s local buckling class.
Moments used in the local interaction check include the moments due to eccentricity in axial force. Eccentricity may be due to end connection and to shift in neutral axis in case of Unsymmetrical slender sections.
# Buckling Checks
Axial Buckling
The member is checked along its length for major axis axial buckling and minor axis axial buckling according to AS4100:2020 clause 6.3.3.
Unsymmetrical sections are also checked for torsional and flexural torsional buckling according to AS4100:2020 clause 6.3.3. Lambda value will be computed in accordance with clause 6.3.4.
At present the effective length of the member is calculated from the factors available in AS4100:2020 Figure 4.6.3.2.
Lateral Torsional Buckling
Members with full lateral restraint are checked for Lateral torsional buckling in according to AS4100:2020 clause 5.3. Lateral restraints are verified in accordance with AS4100:2020 clause 5.3.2.
Lateral torsional buckling is checked in accordance with AS4100:2020 clause 5.6.1 and 5.6.2(i) for the member without continuous restraints. Effective lengths for lateral torsional buckling are calculated according to AS4100:2020 clause 5.6.3.
If the member has an Equivalent Uniform Moment Factor override specified, this is used in place of
Buckling Interaction
Interaction checks are carried out according to AS4100:2020 clause 8.4.5.1 and 8.4.5.2 for compression and tension members respectively. Reduced moments used in compression member checks are calculated using the simplified equations in AS4100:2020 clause 8.4.2.2 and 8.4.4.1.
# Moment amplifications
The member moment demand will be amplified by the moment amplification factor for all member utilisation checks in accordance to clause 4.4.2.2.
If a member is subjected to compressive force, the member moments from linear analysis need to be amplified by a moment amplification factor. The amplified moments will be used in the member capacity checks and member designs.
The automatically calculated moment amplification factor can also be overridden in member definition. If it is overridden, the explicitly defined moment amplification factor will be used in the design, and the calculation of the moment amplification factors will be skipped. This may be of interest if alternative analysis methods are used to account for P-delta effects (ie. running a P-Delta analysis with at least one intermediate node in compression memebers).
Moment amplification factor
Moment amplification factors are calculated based on:
- The elastic buckling load capacity of the member (span)
- The axial force on the member (span) and
- The loading conditions on the member
A member can have several spans depending on the restraint conditions, e.g., if a member has one intermediate restraint in the major axis direction, the member will have two spans and two moment amplification factors in the major axis direction. As the restraint conditions may be different in major and minor axis directions, the moment amplification factors are calculated separately for the two directions. The calculation of the moment amplification factors is based on clause 4.4.2.2 of the design code.
If a member effective length has been overridden in a major or minor axis direction, there will be only one span and one moment amplification factor for that direction.
The moment amplification factor is only applied to the members with compressive force no matter the moment amplification factor is calculated or from user input.
The calculation of moment amplification factor
According to clause 4.4.2.2 of the design code, moment amplification factor is calculated from:
Where:
If a span has no span loading
is the ratio of the smaller to the larger bending moment at the ends of the span, taken as positive when the member is bent in reverse curvature If a span has span loading
with -1.0 ≤ $\beta_m$ ≤1.0
$\Delta_{c t}$ is mid-span deflection of the span resulting from the transverse loading together with both end bending moments as determined by the analysis
$\Delta_{c w}$ is mid-span deflection of the span resulting from the transverse loading together with only those end bending moments which produce a mid-span deflection in the same direction as the transverse load
$\Delta_{c t}$ and $\Delta_{c w}$ are calculated numerically in GSA using *Gauss numerical integration* based on the member properties and the moments along the span.