(Solved): Australian STANDARDS! - Steel Structures a. Determine the plastic collapse load of the beam shown ...

Australian STANDARDS! - Steel Structures

a. Determine the plastic collapse load of the beam shown in figure A1.2(a). Part of the beam \( A C \) has a plastic moment capacity of \( 3 M \) p. Part CE on the other hand has a plastic moment capacity of \( \mathrm{Mp} \). b. A hot rolled section with properties shown in Figure 1.2(b) is to be used for the construction of a steel structure. The section is loaded for bending about the major axis and has full lateral restraints provided. Determine the section slenderness ( \( \lambda s \) ), section plasticity limit ( \( \lambda s p) \) and section yield limit \( (\lambda s y) \) and classify the section. Figure A1.2(a) \( \begin{array}{ll}\mathrm{f}_{\mathrm{u}}=440 \mathrm{MPa} & \mathrm{A}_{9}=4080 \mathrm{~mm}^{2} \\ \mathrm{f}_{y}=320 \mathrm{MPa} & \mathrm{I}_{\mathrm{x}}=63.2 \times 10^{6} \mathrm{~mm}^{4} \\ \mathrm{f}_{\mathrm{y} w}=320 \mathrm{MPa} & \mathrm{Z}_{\mathrm{x}}=424 \times 10^{3} \mathrm{~mm}^{3} \\ \mathrm{~d}=298 \mathrm{~mm} & \mathrm{~S}_{\mathrm{x}}=475 \times 10^{3} \mathrm{~mm}^{3} \\ \mathrm{~b}_{\mathrm{r}}=149 \mathrm{~mm} & \mathrm{r}_{\mathrm{x}}=124 \mathrm{~mm} \\ \mathrm{t}_{r}=8.0 \mathrm{~mm} & \mathrm{I}_{y}=4.42 \times 10^{6} \mathrm{~mm}^{4} \\ \mathrm{t}_{y}=5.5 \mathrm{~mm} & \mathrm{Z}_{\mathrm{y}}=59.3 \times 10^{3} \mathrm{~mm}^{3} \\ & \mathrm{~S}_{\mathrm{y}}=91.8 \times 10^{3} \mathrm{~mm}^{3} \\ & \mathrm{r}_{y}=32.9 \mathrm{~mm}\end{array} \) Fiqure A1.2(b)