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D8.2.1.1 W * L1 - Based on Design Moment Capacity (simply supported beam)<br />
For a beam with full lateral restraint, the design section moment capacity (φM sx ) is used, which for bending<br />
about the x-axis is given by:<br />
φM sx = φ Z ex f y<br />
where φ = 0.9 (Table 3.4 of AS 4100)<br />
Z ex = effective section modulus (see Section D1.2.3.2)<br />
f y = yield stress used in design<br />
For a simply supported beam subject to uniformly distributed loading, the maximum bending moment<br />
(M max ) is given by:<br />
WL<br />
Mmax = 8<br />
where W = total uniformly distributed load<br />
L = length of the beam<br />
Therefore, substituting the design moment capacity (φM sx ) for beams with full lateral restraint for the<br />
maximum bending moment (M max ) and rearranging the equation gives:<br />
Maximum Design Load (W * L1 ) based on the design moment capacity of the beam bending about the<br />
x-axis<br />
Msx<br />
W * L1 = 8φ<br />
L<br />
The equations for the other support conditions are given in Table D8.2.<br />
D8.2.1.2 W * L2 - Based on Design Shear Capacity (simply supported beam)<br />
The design shear capacity (φV vx ) is given in Section D4.2 of the Tables.<br />
For a simply supported beam subject to uniformly distributed loading, the maximum shear force (V max ) is<br />
given by:<br />
W<br />
Vmax = 2<br />
where W = total uniformly distributed load<br />
Therefore, substituting the design shear capacity (φV vx ) for the maximum shear force (V max ) and<br />
rearranging the equation gives:<br />
Maximum Design Load (W * L2 ) based on the design bending capacity of the beam bending about the<br />
x-axis<br />
W * L2 = 2φV vx<br />
The equations for the other support conditions are given in Table D8.2.<br />
DCTDHS/06<br />
DuraGal DESIGN CAPACITY TABLES<br />
MARCH 2002 for STRUCTURAL STEEL HOLLOW SECTIONS D8-3