Two Dimensional Force System Let the force (F) shown below with the direction (0); we can resolve this force into two components: 1-Horizontal Component (Fx) which lies on X-axis. 2-Vertical Component (Fy) which lies on Y-axis. Lesa R F i

If the vertical component of the force F applied to the ring is 10 lb, determine the magnitude F and also the horizontal component. F 300

A beam is subjected to equal bending moments of M₂ = 2700 N-m. The cross-sectional dimensions are b = 100 mm, c = 27 mm, d = 72 mm, and t = 4 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. Answer: (a) y= i ¹₂ = i S = i M₂ (b) σH= i (c) OK= i (d) a max M₂ x mm mm4 mm³ MPa MPa MPa (typ) N b H K

A beam is subjected to equal bending moments of M, = 3500 N-m. The cross-sectional dimensions are b = 165 mm, c = 29 mm, d = 72 mm, and t = 3 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 H d (tур) K Answer: (a) y= i mm z= i mm4 S= i mm3 (b) OH = i MPa (c) σκ-i MPa (d) Omax i MPa