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- A beam is subjected to equal bending moments of Mz = 3700 N·m. The cross-sectional dimensions are b = 135 mm, c = 25 mm, d = 70 mm, and t = 6 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.A beam is subjected to equal bending moments of Mz = 4000 N·m. The cross-sectional dimensions are b = 200 mm, c = 26 mm, d = 68 mm, and t = 5 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.Engineering Mechanics. Please help to provide solution for the problem below. Thank you.
- A beam is subjected to equal bending moments of Mz = 3000 N·m. The cross-sectional dimensions are b = 155 mm, c = 34 mm, d = 73 mm, and t = 6 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.A beam is subjected to equal bending moments of Mz = 3100 N·m. The cross-sectional dimensions are b = 180 mm, c = 35 mm, d = 70 mm, and t = 7 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. Part 2subpartsA beam is subjected to equal bending moments of Mz = 3100 N·m. The cross-sectional dimensions are b = 180 mm, c = 35 mm, d = 70 mm, and t = 7 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.
- A beam is subjected to equal bending moments of Mz = 3200 N·m. The cross-sectional dimensions are b = 130 mm, c = 25 mm, d = 69 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.A beam is subjected to equal bending moments of Mz = 3200 N · m. The cross-sectional dimensions are b = 130 mm, c = 25 mm, d = 69 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.A sandwich beam having steel faces enclosinga plastic core is subjected to a bending momentM = 5 kN . m. The thickness of each steel face ist = 3 mm with modulus of elasticity Es = 200 GPa.The height of the plastic core is hp =140 mm, andits modulus of elasticity is Ep = 800 MPa. The overalldimensions of the beam are h =146 mm andb =175 mm.Using the transformed-section method, determinethe maximum tensile and compressive stressesin the faces and the core.
- In the figure, aluminum [E = 69 GPa] links (1) and (2) support rigid beam ABC. Link (1) has a cross-sectional area of 290 mm² and link (2) has a cross-sectional area of 500 mm². For an applied load of P = 51 kN, determine the rigid beam deflection vg at point B. Assume a = 1630 mm, b = 890 mm, L₁= 2750 mm, and L₂=5120 mm. L₁ (1) a B P b (2) L2A beam is subjected to equal bending moments of M₂ = 4200 N·m. The cross-sectional dimensions are b = 110 mm, c = 33 mm, d = 74 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. Answer: (a) y= i M. mm 1₂ = i mm4 S= i mm³ (b) OH = i MPa (c) OK = i MPa (d) Omax = i MPa (typ) b H KThe cantilever beam consists of a rectangular structural steel tube shape [E = 29,000 ksi; /= 1780 in.4]. For the loading shown, determine: (a) the beam deflection at point A. (b) the beam deflection at point B. Assume MA = 170 kip-ft, P = 29 kips, LAB = 5.7 ft, LBC = 8.6 ft. MA LAB P B LBC