A few recommendations are given in Annex F for general information.
PART 6 STRUCTURAL DESIGN — SECTION 6 STEEL
Analysis and Design Methods
A-1 Advanced Structural Analysis and Design
A-1.1 Analysis
For a frame, comprising members of compact section with full lateral restraint, an advanced structural analysis may be carried out, provided the analysis can be shown to accurately model the actual behaviour of that class of frames. The analysis shall take into account the relevant material properties, residual stresses, geometrical imperfections, reduction in stiffness due to axial compression, second-order effects, section strength and ductility, erection procedures and interaction with the foundations.
Advanced structural analysis for earthquake loads shall take into account, as appropriate the response history, torsional response, pounding against adjacent structures, and strain rate effects.
A-1.2 Design
For the strength limit state, it shall be sufficient to satisfy the section capacity requirements of Section 6(h) for the members subjected to bending, of Section 6(g) for axial members, of Section 6(j) for combined forces and of Section 6(k) for connections. Effect of moment magnification given in Section 6(j), instability given in Section 6(g) and lateral buckling given in Section 6(h) need not be considered while designing the member, since advanced analysis methods directly consider these.
An advanced structural analysis for earthquake loads shall recognize that the design basis earthquake loads calculated in accordance with Part 6 ‘Structural Design, Section 1 Loads, Forces and Effects’ of the Code is assumed to correspond to the load at which the first significant plastic hinge forms in the structure.
A-2 Second Order Elastic Analysis and Design
A-2.1 Analysis
In a second-order elastic analysis, the members shall be assumed to remain elastic, and changes in frame geometry under the design load and changes in the effective stiffness of the members due to axial forces shall be accounted for. In a frame where the elastic buckling load factor (lcr) of the frame as determined in accordance with 10.6 is greater than 5, the changes in the effective stiffness of the members due to axial forces may be neglected.
A-2.2 Design Bending Moment
The design bending moment under factored load shall be taken as the maximum bending moment in the length of the member. It shall be determined either,
a) directly from the second-order analysis; or
b) approximately, if the member is divided into a sufficient number of elements, as the greatest of the element end bending moments, or;
c) by amplifying the calculated design bending moment, taken as the maximum bending moment along the length of a member as obtained by superposition of the simple beam bending moments determined by the analysis.
For a member with zero axial force or a member subject to axial tension, the factored design bending moment shall be calculated as the moment obtained from second-order analysis without any amplification.
For a member with a design axial compressive force as determined from the analysis, the factored design bending moment shall be calculated as follows:
where
δb=moment amplification factor for a braced member determined in accordance with Section 6(j).
A-3 Frame Instability Analysis
A-3.1 Analysis
Frame instability, as treated here, is related to the design of multi-storey rigid-jointed frames subject to side sway. The elastic critical load factor, λcr may be determined using the deflection method as given in A-3.2 or any other recognized method. This is used to calculate the amplified sway moments for elastic designs and to check frame stability in plastic designs. The elastic critical load factor, λcr of a frame is the ratio by which each of the factored loads would have to be increased to cause elastic instability.
A-3.2 Deflection Method
An accurate method of analysis (ordinary linear elastic analysis) should be used to determine the horizontal deflections of the frame due to horizontal forces applied at each floor level, which is equal to the notional horizontal load in 10.3.6. Allowance should be made
for the degree of rigidity of the base as given in A-3.2 in this deflection calculation.
The base stiffness should be determined by reference to 10.3.4.
The elastic critical load factor, λcr is calculated as:
where
ϕs,Max= largest value of the sway index where, ϕs given by:
where
hi= storey height;
δui=horizontal deflection of the top of the storey due to the combined gravity and notional loads; and
δLi=horizontal deflection of the bottom of the storey due to gravity and notional load.
A-3.3 Partial Sway Bracing
In any storey the stiffening effect of infill wall panels
may be allowed for by introducing a diagonal strut in that storey of area A, given by:
where
h= storey height;
b= width of the braced bay;
∑Kc= sum of the stiffness I/L, of the columns in that storey;
ΣSp= Sum of spring stiffness (horizontal force per unit horizontal deflection of all the panels in that storey determined from:
where
tp= thickness of the wall panel, and
Ep = modulus of elasticity of the panel material.