고체역학 (Beer) — Principal Stresses Under a Given Loading: Problem 8.5

8.5 and 8.6 (a) Knowing that \(\sigma_{all} = 160\text{ MPa}\) and \(\tau_{all} = 100\text{ MPa}\), select the most economical metric wide-flange shape that should be used to support the loading shown. (b) Determine the values to be expected for \(\sigma_m\), \(\tau_m\), and the principal stress \(\sigma_{max}\) at the junction of a flange and the web of the selected beam. Figure P8.5: A simply supported beam of length \(3.6\text{ m}\) (\(4 \times 0.9\text{ m}\)) carries three downward point loads of \(250\text{ kN}\) each at \(0.9\text{ m}\), \(1.8\text{ m}\), and \(2.7\text{ m}\) from the left support.