고체역학 (Gere) — Stresses in Beams (Basic Topics): Problem 5.10-5

5.10-1 through 5.10-6 A wide-flange beam (see figure) is subjected to a shear force \(V\). Using the dimensions of the cross section, calculate the moment of inertia and then determine the following quantities: (a) The maximum shear stress \(\tau_{max}\) in the web. (b) The minimum shear stress \(\tau_{min}\) in the web. (c) The average shear stress \(\tau_{aver}\) (obtained by dividing the shear force by the area of the web) and the ratio \(\tau_{max}/\tau_{aver}\). (d) The shear force \(V_{web}\) carried in the web and the ratio \(V_{web}/V\). Note: Disregard the fillets at the junctions of the web and flanges and determine all quantities, including the moment of inertia, by considering the cross section to consist of three rectangles. 5.10-5 Wide-flange shape, HE 450A (see Table F-1, Appendix F); \(V = 90\text{ kN}\).