고체역학 (Gere) — Stresses in Beams (Basic Topics): Problem 5.5-19

5.5-19 A cantilever beam AB, loaded by a uniform load and a concentrated load (see figure), is constructed of a channel section. (a) Find the maximum tensile stress \(\sigma_t\) and maximum compressive stress \(\sigma_c\) if the cross section has the dimensions indicated and the moment of inertia about the z axis (the neutral axis) is \(I = 130 \text{ cm}^4\). Note: The uniform load represents the weight of the beam. (b) Find the maximum value of the concentrated load if the maximum tensile stress cannot exceed 27 MPa and the maximum compressive stress is limited to 100 MPa. (c) How far from A can load \(P = 1 \text{ kN}\) be positioned if the maximum tensile stress cannot exceed 27 MPa and the maximum compressive stress is limited to 100 MPa?