A beam is subjected to equal bending moments of M₂ = 2800 N.m. The cross-sectional dimensions are b = 150 mm, c = 27 mm, d = 72 mm, and t = 8 mm. Determine: (a) the centroid location (measured with respect to the bottom of the cross-section), the moment of inertia about the z axis, and the controlling section modulus about the z axis. (b) the bending stress at point H. Tensile stress is positive, while compressive stress is negative. (c) the bending stress at point K. Tensile stress is positive, while compressive stress is negative. (d) the maximum bending stress produced in the cross section. Tensile stress is positive, while compressive stress is negative. M₂ M₂ x (typ) b H K d

A beam is subjected to equal bending moments of M₂ = 3300 N-m. The cross-sectional dimensions are b = 190 mm, c = 26 mm, d = 75 mm, and t = 5 mm. Determine: (a) the centroid location, the moment of inertia about the z axis, and the controlling section modulus about the z axis. (b) the bending stress at point H. Tensile stress is positive, while compressive stress is negative. (c) the bending stress at point K. Tensile stress is positive, while compressive stress is negative. (d) the maximum bending stress produced in the cross section. Tensile stress is positive, while compressive stress is negative. M₂ N y| M₂ (typ) Z- b H K d

30 mm C A B 150 mm M 150 mm 300 mm 30 mm - determine the bending stress developed at points A, B, and C. Sketch the bending stress distribution on the cross section. - Assume that the cross-section has a moment of inertia about the neutral axis of 1.907 x 10-4 m². - Assume that the neutral axis is located 97.5 mm from the bottom of the cross-section - Assume the internal bending moment M = 61.4 kN.m

The beam cross section shown below has been proposed for a short pedestrian bridge. The cross section will consist of two pipes that are welded to a rectangular web plate. Dimensions of the cross section are: h = 470 mm tw = 14 mm d = 120 mm t = 9.6 mm Additionally: • The area of each pipe is A = 3330 mm2. • The moment of inertia of the entire beam cross section about the z centroidal axis is IZ = 428040000 mm4. If the beam will be subjected to a shear force of V = 225 kN, determine the shear stress at point H, located at yH = 110 mm above the z centroidal axis.